%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT303+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.63SNGcKqwJ true
% Computer : n012.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 5.73s 1.38s
% Output : Refutation 5.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 14
% Syntax : Number of formulae : 93 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 296 ( 5 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 928 ( 136 ~; 145 |; 33 &; 589 @)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 0 ^; 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(m2_filter_2_type,type,
m2_filter_2: $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(v14_lattices_type,type,
v14_lattices: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(k5_filter_2_type,type,
k5_filter_2: $i > $i > $i ).
thf(m1_filter_0_type,type,
m1_filter_0: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(v13_lattices_type,type,
v13_lattices: $i > $o ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(l1_lattices_type,type,
l1_lattices: $i > $o ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(m1_filter_2_type,type,
m1_filter_2: $i > $i > $o ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(k6_domain_1_type,type,
k6_domain_1: $i > $i > $i ).
thf(l2_lattices_type,type,
l2_lattices: $i > $o ).
thf(k1_tarski_type,type,
k1_tarski: $i > $i ).
thf(k1_lattice2_type,type,
k1_lattice2: $i > $i ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
thf(dt_l3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(dt_l1_lattices,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_lattices]) ).
thf(zip_derived_cl1469,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).
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(zip_derived_cl1469_001,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).
thf(redefinition_k6_domain_1,axiom,
! [A: $i,B: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( m1_subset_1 @ B @ A ) )
=> ( ( k6_domain_1 @ A @ B )
= ( k1_tarski @ B ) ) ) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ X0 )
| ( ( k6_domain_1 @ X0 @ X1 )
= ( k1_tarski @ X1 ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_domain_1]) ).
thf(t27_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 ) )
=> ( ( m2_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ A ) @ B ) @ A )
=> ( v13_lattices @ 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 @ ( u1_struct_0 @ A ) )
=> ( ( m2_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ A ) @ B ) @ A )
=> ( v13_lattices @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t27_filter_2]) ).
thf(zip_derived_cl4,plain,
m2_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ sk_ ) @ sk__1 ) @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t21_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
<=> ( m1_filter_2 @ B @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl178,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_filter_2 @ X0 @ X1 )
| ( m1_filter_2 @ X0 @ ( k1_lattice2 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t21_filter_2]) ).
thf(zip_derived_cl1180,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ sk_ ) @ sk__1 ) @ ( k1_lattice2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl178]) ).
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_cl2286,plain,
m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ sk_ ) @ sk__1 ) @ ( k1_lattice2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1180,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2292,plain,
( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( m1_filter_2 @ ( k1_tarski @ sk__1 ) @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl2286]) ).
thf(zip_derived_cl5,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2293,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( m1_filter_2 @ ( k1_tarski @ sk__1 ) @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2292,zip_derived_cl5]) ).
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_cl29,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(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_cl38,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_cl1850,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X1 )
| ~ ( v10_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl38]) ).
thf(zip_derived_cl1851,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ X1 ) ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1850]) ).
thf(zip_derived_cl169_002,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ X0 )
| ( ( k6_domain_1 @ X0 @ X1 )
= ( k1_tarski @ X1 ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_domain_1]) ).
thf(zip_derived_cl5_003,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1851_004,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ X1 ) ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1850]) ).
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_cl113,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_cl33_005,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
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_cl171,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(t14_filter_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( m1_filter_0 @ ( k6_domain_1 @ ( u1_struct_0 @ A ) @ B ) @ A )
=> ( v14_lattices @ A ) ) ) ) ).
thf(zip_derived_cl175,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( m1_filter_0 @ ( k6_domain_1 @ ( u1_struct_0 @ X1 ) @ X0 ) @ X1 )
| ( v14_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t14_filter_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_cl184,plain,
! [X0: $i] :
( ~ ( v14_lattices @ ( k1_lattice2 @ X0 ) )
| ( v13_lattices @ X0 )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t63_lattice2]) ).
thf(zip_derived_cl3,plain,
~ ( v13_lattices @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1150,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v14_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl184,zip_derived_cl3]) ).
thf(zip_derived_cl1161,plain,
! [X0: $i] :
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( m1_filter_0 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( l3_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl175,zip_derived_cl1150]) ).
thf(zip_derived_cl1197,plain,
! [X0: $i] :
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_subset_1 @ X0 @ ( u1_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_cl171,zip_derived_cl1161]) ).
thf(zip_derived_cl2534,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( l3_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1197]) ).
thf(zip_derived_cl2_006,plain,
l3_lattices @ 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_cl0_008,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2535,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2534,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl2536,plain,
! [X0: $i] :
( ~ ( l3_lattices @ sk_ )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl2535]) ).
thf(zip_derived_cl2_009,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2539,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2536,zip_derived_cl2]) ).
thf(zip_derived_cl2540,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl2539]) ).
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_cl2_012,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2543,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2540,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2613,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1851,zip_derived_cl2543]) ).
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_cl2_015,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2620,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ X0 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2613,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl2642,plain,
( ~ ( m1_filter_2 @ ( k6_domain_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) @ sk__1 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2620]) ).
thf(zip_derived_cl2674,plain,
( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m1_filter_2 @ ( k1_tarski @ sk__1 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl2642]) ).
thf(zip_derived_cl3057,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m1_filter_2 @ ( k1_tarski @ sk__1 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1851,zip_derived_cl2674]) ).
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,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3062,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m1_filter_2 @ ( k1_tarski @ sk__1 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3057,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl3091,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2293,zip_derived_cl3062]) ).
thf(fc1_struct_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_struct_0 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl3122,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( l1_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3091,zip_derived_cl75]) ).
thf(zip_derived_cl3132,plain,
( ~ ( l1_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3122]) ).
thf(zip_derived_cl3140,plain,
( ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1469,zip_derived_cl3132]) ).
thf(zip_derived_cl3143,plain,
( ~ ( l3_lattices @ sk_ )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl3140]) ).
thf(zip_derived_cl2_020,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3146,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3143,zip_derived_cl2]) ).
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_cl73,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_cl3147,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( l3_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3146,zip_derived_cl73]) ).
thf(zip_derived_cl2_021,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_022,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3150,plain,
v1_xboole_0 @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl3147,zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl75_023,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_struct_0 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl3155,plain,
( ~ ( l1_struct_0 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3150,zip_derived_cl75]) ).
thf(zip_derived_cl0_024,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3161,plain,
~ ( l1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl3155,zip_derived_cl0]) ).
thf(zip_derived_cl3183,plain,
~ ( l3_lattices @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl1469,zip_derived_cl3161]) ).
thf(zip_derived_cl2_025,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3184,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3183,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT303+1 : TPTP v9.2.0. Released v3.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.63SNGcKqwJ true
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 14:41:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.59 % Total configuration time : 435
% 0.20/0.59 % Estimated wc time : 1092
% 0.20/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.73/1.38 % Solved by fo/fo6_bce.sh.
% 5.73/1.38 % BCE start: 189
% 5.73/1.38 % BCE eliminated: 11
% 5.73/1.38 % PE start: 178
% 5.73/1.38 logic: eq
% 5.73/1.38 % PE eliminated: -4
% 5.73/1.38 % done 432 iterations in 0.696s
% 5.73/1.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.73/1.38 % SZS output start Refutation
% See solution above
% 5.73/1.38
% 5.73/1.38
% 5.73/1.38 % Terminating...
% 5.73/1.44 % Runner terminated.
% 5.73/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------