%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT301+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.sXmIw4KFUO true
% Computer : n008.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 04:41:26 PM UTC 2025
% Result : Theorem 4.64s 1.24s
% Output : Refutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 80 ( 36 unt; 0 typ; 0 def)
% Number of atoms : 272 ( 10 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 753 ( 114 ~; 125 |; 42 &; 447 @)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(k15_filter_2_type,type,
k15_filter_2: $i > $i > $i ).
thf(m1_filter_0_type,type,
m1_filter_0: $i > $i > $o ).
thf(v14_lattices_type,type,
v14_lattices: $i > $o ).
thf(m2_filter_2_type,type,
m2_filter_2: $i > $i > $o ).
thf(k6_lattices_type,type,
k6_lattices: $i > $i ).
thf(v13_lattices_type,type,
v13_lattices: $i > $o ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(m2_lattice4_type,type,
m2_lattice4: $i > $i > $o ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(k5_lattices_type,type,
k5_lattices: $i > $i ).
thf(m1_filter_2_type,type,
m1_filter_2: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(k1_lattice2_type,type,
k1_lattice2: $i > $i ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(k7_filter_2_type,type,
k7_filter_2: $i > $i > $i ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
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_cl28,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(dt_k1_lattice2,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl33,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_cl110,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(t25_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ( v13_lattices @ A )
=> ( r2_hidden @ ( k5_lattices @ A ) @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ( v13_lattices @ A )
=> ( r2_hidden @ ( k5_lattices @ A ) @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t25_filter_2]) ).
thf(zip_derived_cl5,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_cl31,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_cl1159,plain,
( ( m1_filter_2 @ ( k15_filter_2 @ sk_ @ sk__1 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl31]) ).
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_cl164,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(t12_filter_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_0 @ B @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v14_lattices @ A )
& ( l3_lattices @ A ) )
=> ( r2_hidden @ ( k6_lattices @ A ) @ B ) ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( r2_hidden @ ( k6_lattices @ X1 ) @ X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v14_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t12_filter_0]) ).
thf(zip_derived_cl1174,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ~ ( m1_filter_2 @ X1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( v14_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ( r2_hidden @ ( k6_lattices @ X0 ) @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl164,zip_derived_cl168]) ).
thf(zip_derived_cl1263,plain,
( ~ ( l3_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ )
| ( r2_hidden @ ( k6_lattices @ ( k1_lattice2 @ sk_ ) ) @ ( k15_filter_2 @ sk_ @ sk__1 ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v14_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1159,zip_derived_cl1174]) ).
thf(zip_derived_cl2525,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v14_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k6_lattices @ ( k1_lattice2 @ sk_ ) ) @ ( k15_filter_2 @ sk_ @ sk__1 ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1263]) ).
thf(zip_derived_cl3,plain,
v13_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t63_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( v13_lattices @ A )
<=> ( v14_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl176,plain,
! [X0: $i] :
( ~ ( v13_lattices @ X0 )
| ( v14_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t63_lattice2]) ).
thf(zip_derived_cl1188,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( v14_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl176]) ).
thf(zip_derived_cl0,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_cl2,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2215,plain,
v14_lattices @ ( k1_lattice2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1188,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl3_001,plain,
v13_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t78_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v13_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( k5_lattices @ A )
= ( k6_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl178,plain,
! [X0: $i] :
( ( ( k5_lattices @ X0 )
= ( k6_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v13_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t78_lattice2]) ).
thf(zip_derived_cl1189,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( ( k5_lattices @ sk_ )
= ( k6_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl178]) ).
thf(zip_derived_cl0_002,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_003,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_004,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2324,plain,
( ( k5_lattices @ sk_ )
= ( k6_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1189,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl5_005,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_cl162,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_cl1161,plain,
( ( ( k15_filter_2 @ sk_ @ sk__1 )
= ( k7_filter_2 @ sk_ @ sk__1 ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl162]) ).
thf(zip_derived_cl0_006,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_007,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_008,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2276,plain,
( ( k15_filter_2 @ sk_ @ sk__1 )
= ( k7_filter_2 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1161,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl0_009,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_010,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_011,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2526,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k5_lattices @ sk_ ) @ ( k7_filter_2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2525,zip_derived_cl2215,zip_derived_cl2324,zip_derived_cl2276,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2527,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k5_lattices @ sk_ ) @ ( k7_filter_2 @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl2526]) ).
thf(zip_derived_cl0_012,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_013,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_014,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2530,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k5_lattices @ sk_ ) @ ( k7_filter_2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2527,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2558,plain,
( ~ ( l3_lattices @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k5_lattices @ sk_ ) @ ( k7_filter_2 @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl2530]) ).
thf(zip_derived_cl2_015,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2561,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k5_lattices @ sk_ ) @ ( k7_filter_2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2558,zip_derived_cl2]) ).
thf(zip_derived_cl2818,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k5_lattices @ sk_ ) @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl2561]) ).
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_cl2_018,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_019,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_cl51,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(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_cl53,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_cl1129,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ~ ( m2_filter_2 @ X1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl53]) ).
thf(zip_derived_cl1162,plain,
( ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ~ ( l3_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl1129]) ).
thf(zip_derived_cl2279,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1162]) ).
thf(zip_derived_cl0_020,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_021,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_022,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2280,plain,
m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl2279,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2821,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k5_lattices @ sk_ ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2818,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl2280]) ).
thf(zip_derived_cl4,plain,
~ ( r2_hidden @ ( k5_lattices @ sk_ ) @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2824,plain,
v3_struct_0 @ ( k1_lattice2 @ sk_ ),
inference(clc,[status(thm)],[zip_derived_cl2821,zip_derived_cl4]) ).
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_cl74,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_cl2825,plain,
( ~ ( l3_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2824,zip_derived_cl74]) ).
thf(zip_derived_cl2_023,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_024,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2828,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2825,zip_derived_cl2,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT301+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.sXmIw4KFUO true
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 14:33:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /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
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.64/1.24 % Solved by fo/fo6_bce.sh.
% 4.64/1.24 % BCE start: 181
% 4.64/1.24 % BCE eliminated: 10
% 4.64/1.24 % PE start: 171
% 4.64/1.24 logic: eq
% 4.64/1.24 % PE eliminated: -20
% 4.64/1.24 % done 337 iterations in 0.461s
% 4.64/1.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.64/1.24 % SZS output start Refutation
% See solution above
% 4.64/1.24
% 4.64/1.24
% 4.64/1.24 % Terminating...
% 5.13/1.36 % Runner terminated.
% 5.13/1.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------