%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT331+3 : 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.0CSVZ1D465 true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:41:34 PM UTC 2025
% Result : Theorem 23.65s 3.97s
% Output : Refutation 23.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 155 ( 100 unt; 0 typ; 0 def)
% Number of atoms : 340 ( 84 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1088 ( 122 ~; 125 |; 37 &; 781 @)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 5 con; 0-3 aty)
% Number of variables : 57 ( 0 ^; 57 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(k1_lattice2_type,type,
k1_lattice2: $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(g3_lattices_type,type,
g3_lattices: $i > $i > $i > $i ).
thf(m1_filter_2_type,type,
m1_filter_2: $i > $i > $o ).
thf(u2_lattices_type,type,
u2_lattices: $i > $i ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(k8_filter_0_type,type,
k8_filter_0: $i > $i > $i ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
thf(k1_realset1_type,type,
k1_realset1: $i > $i > $i ).
thf(m1_filter_0_type,type,
m1_filter_0: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(u1_lattices_type,type,
u1_lattices: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(t68_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m1_filter_2 @ C @ A )
=> ! [D: $i] :
( ( m1_filter_2 @ D @ B )
=> ( ( ( ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ B ) @ ( u2_lattices @ B ) @ ( u1_lattices @ B ) ) )
& ( C = D ) )
=> ( ( k8_filter_0 @ A @ C )
= ( k8_filter_0 @ B @ D ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B ) )
=> ! [C: $i] :
( ( m1_filter_2 @ C @ A )
=> ! [D: $i] :
( ( m1_filter_2 @ D @ B )
=> ( ( ( ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ B ) @ ( u2_lattices @ B ) @ ( u1_lattices @ B ) ) )
& ( C = D ) )
=> ( ( k8_filter_0 @ A @ C )
= ( k8_filter_0 @ B @ D ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t68_filter_2]) ).
thf(zip_derived_cl78,plain,
m1_filter_2 @ sk__7 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
sk__7 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87,plain,
m1_filter_2 @ sk__8 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl80]) ).
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_cl66,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_cl130,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 )
| ( m1_filter_0 @ sk__8 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl66]) ).
thf(zip_derived_cl75,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl134,plain,
m1_filter_0 @ sk__8 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(t63_filter_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_0 @ B @ A )
=> ( ( ( u1_struct_0 @ ( k8_filter_0 @ A @ B ) )
= B )
& ( ( u2_lattices @ ( k8_filter_0 @ A @ B ) )
= ( k1_realset1 @ ( u2_lattices @ A ) @ B ) )
& ( ( u1_lattices @ ( k8_filter_0 @ A @ B ) )
= ( k1_realset1 @ ( u1_lattices @ A ) @ B ) ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u1_lattices @ ( k8_filter_0 @ X1 @ X0 ) )
= ( k1_realset1 @ ( u1_lattices @ X1 ) @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl328,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 )
| ( ( u1_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__5 ) @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl28]) ).
thf(zip_derived_cl75_001,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_002,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_003,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl332,plain,
( ( u1_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__5 ) @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl328,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl77_004,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t18_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l3_lattices @ A ) )
=> ( ( ( u1_struct_0 @ A )
= ( u1_struct_0 @ ( k1_lattice2 @ A ) ) )
& ( ( u2_lattices @ A )
= ( u1_lattices @ ( k1_lattice2 @ A ) ) )
& ( ( u1_lattices @ A )
= ( u2_lattices @ ( k1_lattice2 @ A ) ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ( ( u1_lattices @ X0 )
= ( u2_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t18_lattice2]) ).
thf(zip_derived_cl105,plain,
( ( v3_struct_0 @ sk__5 )
| ( ( u1_lattices @ sk__5 )
= ( u2_lattices @ ( k1_lattice2 @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl58]) ).
thf(zip_derived_cl75_005,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107,plain,
( ( u1_lattices @ sk__5 )
= ( u2_lattices @ ( k1_lattice2 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl75]) ).
thf(zip_derived_cl83,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t7_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( k1_lattice2 @ ( k1_lattice2 @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ X0 ) )
= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t7_filter_2]) ).
thf(zip_derived_cl368,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl68]) ).
thf(zip_derived_cl85,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl374,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl368,zip_derived_cl85,zip_derived_cl84]) ).
thf(zip_derived_cl77_006,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_007,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ X0 ) )
= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t7_filter_2]) ).
thf(zip_derived_cl367,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl68]) ).
thf(zip_derived_cl75_008,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_009,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl373,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl75,zip_derived_cl76]) ).
thf(zip_derived_cl79,plain,
( ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl373_010,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl75,zip_derived_cl76]) ).
thf(zip_derived_cl393,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl373]) ).
thf(zip_derived_cl374_011,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__6 ) @ ( u2_lattices @ sk__6 ) @ ( u1_lattices @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl368,zip_derived_cl85,zip_derived_cl84]) ).
thf(zip_derived_cl431,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__5 ) )
= ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl393,zip_derived_cl374]) ).
thf(zip_derived_cl432,plain,
( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__5 ) @ ( u2_lattices @ sk__5 ) @ ( u1_lattices @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl373,zip_derived_cl431]) ).
thf(t6_filter_2,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ! [B: $i] :
( ( l3_lattices @ B )
=> ( ( ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ B ) @ ( u2_lattices @ B ) @ ( u1_lattices @ B ) ) )
=> ( ( k1_lattice2 @ A )
= ( k1_lattice2 @ B ) ) ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ( ( k1_lattice2 @ X1 )
= ( k1_lattice2 @ X0 ) )
| ( ( g3_lattices @ ( u1_struct_0 @ X1 ) @ ( u2_lattices @ X1 ) @ ( u1_lattices @ X1 ) )
!= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X1 ) ),
inference(cnf,[status(esa)],[t6_filter_2]) ).
thf(zip_derived_cl1297,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
!= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ sk__5 )
| ( ( k1_lattice2 @ sk__5 )
= ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl67]) ).
thf(zip_derived_cl77_012,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1353,plain,
! [X0: $i] :
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
!= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ( ( k1_lattice2 @ sk__5 )
= ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1297,zip_derived_cl77]) ).
thf(zip_derived_cl3947,plain,
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
!= ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) ) )
| ~ ( l3_lattices @ sk__6 )
| ( ( k1_lattice2 @ sk__5 )
= ( k1_lattice2 @ sk__6 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl1353]) ).
thf(zip_derived_cl83_013,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3976,plain,
( ( ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) )
!= ( k1_lattice2 @ ( k1_lattice2 @ sk__6 ) ) )
| ( ( k1_lattice2 @ sk__5 )
= ( k1_lattice2 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3947,zip_derived_cl83]) ).
thf(zip_derived_cl3977,plain,
( ( k1_lattice2 @ sk__5 )
= ( k1_lattice2 @ sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3976]) ).
thf(zip_derived_cl83_014,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_015,plain,
! [X0: $i] :
( ( ( u1_lattices @ X0 )
= ( u2_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t18_lattice2]) ).
thf(zip_derived_cl106,plain,
( ( v3_struct_0 @ sk__6 )
| ( ( u1_lattices @ sk__6 )
= ( u2_lattices @ ( k1_lattice2 @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl58]) ).
thf(zip_derived_cl85_016,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108,plain,
( ( u1_lattices @ sk__6 )
= ( u2_lattices @ ( k1_lattice2 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl85]) ).
thf(zip_derived_cl3993,plain,
( ( u1_lattices @ sk__5 )
= ( u1_lattices @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl3977,zip_derived_cl108]) ).
thf(zip_derived_cl82,plain,
m1_filter_2 @ sk__8 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66_017,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_cl131,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 )
| ( m1_filter_0 @ sk__8 @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl66]) ).
thf(zip_derived_cl85_018,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84_019,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_020,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl135,plain,
m1_filter_0 @ sk__8 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(zip_derived_cl28_021,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u1_lattices @ ( k8_filter_0 @ X1 @ X0 ) )
= ( k1_realset1 @ ( u1_lattices @ X1 ) @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl329,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 )
| ( ( u1_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__6 ) @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl28]) ).
thf(zip_derived_cl85_022,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84_023,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_024,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl333,plain,
( ( u1_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) )
= ( k1_realset1 @ ( u1_lattices @ sk__6 ) @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(zip_derived_cl4206,plain,
( ( u1_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
= ( u1_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl3993,zip_derived_cl333]) ).
thf(abstractness_v3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ A )
=> ( A
= ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( v3_lattices @ X0 )
| ( X0
= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[abstractness_v3_lattices]) ).
thf(zip_derived_cl4336,plain,
( ( ( k8_filter_0 @ sk__5 @ sk__8 )
= ( g3_lattices @ ( u1_struct_0 @ ( k8_filter_0 @ sk__5 @ sk__8 ) ) @ ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) ) ) )
| ~ ( l3_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
| ~ ( v3_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4206,zip_derived_cl3]) ).
thf(zip_derived_cl134_025,plain,
m1_filter_0 @ sk__8 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ X1 @ X0 ) )
= X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl235,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
= sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl30]) ).
thf(zip_derived_cl75_026,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_027,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_028,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl239,plain,
( ( u1_struct_0 @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
= sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl134_029,plain,
m1_filter_0 @ sk__8 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u2_lattices @ ( k8_filter_0 @ X1 @ X0 ) )
= ( k1_realset1 @ ( u2_lattices @ X1 ) @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl336,plain,
( ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 )
| ( ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__5 ) @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl29]) ).
thf(zip_derived_cl75_030,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_031,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_032,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl340,plain,
( ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__5 ) @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl77_033,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( ( u2_lattices @ X0 )
= ( u1_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t18_lattice2]) ).
thf(zip_derived_cl96,plain,
( ( v3_struct_0 @ sk__5 )
| ( ( u2_lattices @ sk__5 )
= ( u1_lattices @ ( k1_lattice2 @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl57]) ).
thf(zip_derived_cl75_034,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98,plain,
( ( u2_lattices @ sk__5 )
= ( u1_lattices @ ( k1_lattice2 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl75]) ).
thf(zip_derived_cl3977_035,plain,
( ( k1_lattice2 @ sk__5 )
= ( k1_lattice2 @ sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3976]) ).
thf(zip_derived_cl83_036,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_037,plain,
! [X0: $i] :
( ( ( u2_lattices @ X0 )
= ( u1_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t18_lattice2]) ).
thf(zip_derived_cl97,plain,
( ( v3_struct_0 @ sk__6 )
| ( ( u2_lattices @ sk__6 )
= ( u1_lattices @ ( k1_lattice2 @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl57]) ).
thf(zip_derived_cl85_038,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99,plain,
( ( u2_lattices @ sk__6 )
= ( u1_lattices @ ( k1_lattice2 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl85]) ).
thf(zip_derived_cl3992,plain,
( ( u2_lattices @ sk__5 )
= ( u2_lattices @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl3977,zip_derived_cl99]) ).
thf(zip_derived_cl135_039,plain,
m1_filter_0 @ sk__8 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(zip_derived_cl29_040,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u2_lattices @ ( k8_filter_0 @ X1 @ X0 ) )
= ( k1_realset1 @ ( u2_lattices @ X1 ) @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl337,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 )
| ( ( u2_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__6 ) @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl29]) ).
thf(zip_derived_cl85_041,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84_042,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_043,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl341,plain,
( ( u2_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) )
= ( k1_realset1 @ ( u2_lattices @ sk__6 ) @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl337,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(zip_derived_cl4149,plain,
( ( u2_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
= ( u2_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl3992,zip_derived_cl341]) ).
thf(zip_derived_cl135_044,plain,
m1_filter_0 @ sk__8 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(zip_derived_cl30_045,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ X1 @ X0 ) )
= X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t63_filter_0]) ).
thf(zip_derived_cl236,plain,
( ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 )
| ( ( u1_struct_0 @ ( k8_filter_0 @ sk__6 @ sk__8 ) )
= sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl30]) ).
thf(zip_derived_cl85_046,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84_047,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_048,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl240,plain,
( ( u1_struct_0 @ ( k8_filter_0 @ sk__6 @ sk__8 ) )
= sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(zip_derived_cl3_049,plain,
! [X0: $i] :
( ~ ( v3_lattices @ X0 )
| ( X0
= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[abstractness_v3_lattices]) ).
thf(zip_derived_cl294,plain,
( ( ( k8_filter_0 @ sk__6 @ sk__8 )
= ( g3_lattices @ sk__8 @ ( u2_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) ) ) )
| ~ ( l3_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) )
| ~ ( v3_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl240,zip_derived_cl3]) ).
thf(zip_derived_cl135_050,plain,
m1_filter_0 @ sk__8 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(dt_k8_filter_0,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_filter_0 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ ( k8_filter_0 @ A @ B ) )
& ( v10_lattices @ ( k8_filter_0 @ A @ B ) )
& ( l3_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ X0 )
| ( l3_lattices @ ( k8_filter_0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k8_filter_0]) ).
thf(zip_derived_cl228,plain,
( ( l3_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) )
| ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl52]) ).
thf(zip_derived_cl85_051,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84_052,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_053,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl232,plain,
l3_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(zip_derived_cl135_054,plain,
m1_filter_0 @ sk__8 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(fc2_filter_0,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_filter_0 @ B @ A ) )
=> ( ~ ( v3_struct_0 @ ( k8_filter_0 @ A @ B ) )
& ( v3_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v4_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v5_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v6_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v7_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v8_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v9_lattices @ ( k8_filter_0 @ A @ B ) )
& ( v10_lattices @ ( k8_filter_0 @ A @ B ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ X0 )
| ( v3_lattices @ ( k8_filter_0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc2_filter_0]) ).
thf(zip_derived_cl220,plain,
( ( v3_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) )
| ( v3_struct_0 @ sk__6 )
| ~ ( v10_lattices @ sk__6 )
| ~ ( l3_lattices @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl16]) ).
thf(zip_derived_cl85_055,plain,
~ ( v3_struct_0 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84_056,plain,
v10_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_057,plain,
l3_lattices @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
v3_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl85,zip_derived_cl84,zip_derived_cl83]) ).
thf(zip_derived_cl295,plain,
( ( k8_filter_0 @ sk__6 @ sk__8 )
= ( g3_lattices @ sk__8 @ ( u2_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) ) @ ( u1_lattices @ ( k8_filter_0 @ sk__6 @ sk__8 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl232,zip_derived_cl224]) ).
thf(zip_derived_cl134_058,plain,
m1_filter_0 @ sk__8 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl52_059,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ X0 )
| ( l3_lattices @ ( k8_filter_0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k8_filter_0]) ).
thf(zip_derived_cl227,plain,
( ( l3_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
| ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl52]) ).
thf(zip_derived_cl75_060,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_061,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_062,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
l3_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl134_063,plain,
m1_filter_0 @ sk__8 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl16_064,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ X0 )
| ( v3_lattices @ ( k8_filter_0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc2_filter_0]) ).
thf(zip_derived_cl219,plain,
( ( v3_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ) )
| ( v3_struct_0 @ sk__5 )
| ~ ( v10_lattices @ sk__5 )
| ~ ( l3_lattices @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl16]) ).
thf(zip_derived_cl75_065,plain,
~ ( v3_struct_0 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_066,plain,
v10_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_067,plain,
l3_lattices @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl223,plain,
v3_lattices @ ( k8_filter_0 @ sk__5 @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl75,zip_derived_cl76,zip_derived_cl77]) ).
thf(zip_derived_cl4360,plain,
( ( k8_filter_0 @ sk__5 @ sk__8 )
= ( k8_filter_0 @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl4336,zip_derived_cl239,zip_derived_cl4149,zip_derived_cl295,zip_derived_cl231,zip_derived_cl223]) ).
thf(zip_derived_cl81,plain,
( ( k8_filter_0 @ sk__5 @ sk__7 )
!= ( k8_filter_0 @ sk__6 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_068,plain,
sk__7 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
( ( k8_filter_0 @ sk__5 @ sk__8 )
!= ( k8_filter_0 @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl80]) ).
thf(zip_derived_cl4361,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4360,zip_derived_cl86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT331+3 : 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.0CSVZ1D465 true
% 0.12/0.35 % Computer : n021.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 14:44:24 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % 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
% 0.12/0.36 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 23.65/3.97 % Solved by fo/fo4.sh.
% 23.65/3.97 % done 789 iterations in 3.183s
% 23.65/3.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 23.65/3.97 % SZS output start Refutation
% See solution above
% 23.65/3.97
% 23.65/3.97
% 23.65/3.97 % Terminating...
% 24.19/4.09 % Runner terminated.
% 24.19/4.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------