%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT326+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.6Ub7UCGtA9 true
% Computer : n016.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 04:41:33 PM UTC 2025
% Result : Theorem 4.27s 1.19s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 17
% Syntax : Number of formulae : 239 ( 90 unt; 0 typ; 0 def)
% Number of atoms : 972 ( 73 equ; 0 cnn)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 4202 ( 586 ~; 606 |; 88 &;2883 @)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 35 usr; 5 con; 0-3 aty)
% Number of variables : 180 ( 0 ^; 179 !; 1 ?; 180 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(v1_binop_1_type,type,
v1_binop_1: $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v2_binop_1_type,type,
v2_binop_1: $i > $i > $o ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(v1_partfun1_type,type,
v1_partfun1: $i > $i > $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(u2_lattices_type,type,
u2_lattices: $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(l1_lattices_type,type,
l1_lattices: $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(m2_lattice4_type,type,
m2_lattice4: $i > $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(l2_lattices_type,type,
l2_lattices: $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(u1_lattices_type,type,
u1_lattices: $i > $i ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(r1_lattice2_type,type,
r1_lattice2: $i > $i > $i > $o ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(k1_realset1_type,type,
k1_realset1: $i > $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(v3_binop_1_type,type,
v3_binop_1: $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(dt_l3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(dt_u2_lattices,axiom,
! [A: $i] :
( ( l2_lattices @ A )
=> ( ( v1_funct_1 @ ( u2_lattices @ A ) )
& ( v1_funct_2 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( v1_funct_1 @ ( u2_lattices @ X0 ) )
| ~ ( l2_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u2_lattices]) ).
thf(zip_derived_cl728,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u2_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl22]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(dt_u1_lattices,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( ( v1_funct_1 @ ( u1_lattices @ A ) )
& ( v1_funct_2 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ~ ( l1_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_lattices]) ).
thf(zip_derived_cl700,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u1_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl19]) ).
thf(zip_derived_cl16_001,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l2_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u2_lattices]) ).
thf(zip_derived_cl729,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl23]) ).
thf(zip_derived_cl15_002,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_lattices]) ).
thf(zip_derived_cl701,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ( m2_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l2_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u2_lattices]) ).
thf(zip_derived_cl730,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m2_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl24]) ).
thf(zip_derived_cl15_004,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( m2_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_lattices]) ).
thf(zip_derived_cl702,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m2_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl21]) ).
thf(t40_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( r1_lattice2 @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( r1_lattice2 @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t40_lattice2]) ).
thf(t62_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m2_lattice4 @ B @ A ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( m2_relset_1 @ C @ ( k2_zfmisc_1 @ B @ B ) @ B ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( m2_relset_1 @ D @ ( k2_zfmisc_1 @ B @ B ) @ B ) )
=> ( ( ( C
= ( k1_realset1 @ ( u2_lattices @ A ) @ B ) )
& ( D
= ( k1_realset1 @ ( u1_lattices @ A ) @ B ) ) )
=> ( ( v1_binop_1 @ C @ B )
& ( v2_binop_1 @ C @ B )
& ( v1_binop_1 @ D @ B )
& ( v2_binop_1 @ D @ B )
& ( r1_lattice2 @ B @ C @ D )
& ( r1_lattice2 @ B @ D @ C ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m2_lattice4 @ B @ A ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( m2_relset_1 @ C @ ( k2_zfmisc_1 @ B @ B ) @ B ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( m2_relset_1 @ D @ ( k2_zfmisc_1 @ B @ B ) @ B ) )
=> ( ( ( C
= ( k1_realset1 @ ( u2_lattices @ A ) @ B ) )
& ( D
= ( k1_realset1 @ ( u1_lattices @ A ) @ B ) ) )
=> ( ( v1_binop_1 @ C @ B )
& ( v2_binop_1 @ C @ B )
& ( v1_binop_1 @ D @ B )
& ( v2_binop_1 @ D @ B )
& ( r1_lattice2 @ B @ C @ D )
& ( r1_lattice2 @ B @ D @ C ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t62_filter_2]) ).
thf(zip_derived_cl100,plain,
m2_lattice4 @ sk__17 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl17,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_cl671,plain,
( ( v3_struct_0 @ sk__16 )
| ~ ( v10_lattices @ sk__16 )
| ~ ( l3_lattices @ sk__16 )
| ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl100,zip_derived_cl17]) ).
thf(zip_derived_cl88,plain,
~ ( v3_struct_0 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89,plain,
v10_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl914,plain,
m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl671,zip_derived_cl88,zip_derived_cl89,zip_derived_cl90]) ).
thf(t5_filter_2,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m2_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m2_relset_1 @ D @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [E: $i] :
( ( ( v1_funct_1 @ E )
& ( v1_funct_2 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( m2_relset_1 @ E @ ( k2_zfmisc_1 @ B @ B ) @ B ) )
=> ! [F: $i] :
( ( ( v1_funct_1 @ F )
& ( v1_funct_2 @ F @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( m2_relset_1 @ F @ ( k2_zfmisc_1 @ B @ B ) @ B ) )
=> ( ( ( E
= ( k1_realset1 @ C @ B ) )
& ( F
= ( k1_realset1 @ D @ B ) )
& ( r1_lattice2 @ A @ C @ D ) )
=> ( r1_lattice2 @ B @ E @ F ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( m2_relset_1 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( v1_funct_2 @ X3 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X3 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ( r1_lattice2 @ X0 @ X4 @ X3 )
| ( X3
!= ( k1_realset1 @ X2 @ X0 ) )
| ~ ( r1_lattice2 @ X1 @ X5 @ X2 )
| ( X4
!= ( k1_realset1 @ X5 @ X0 ) )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v1_funct_1 @ X4 )
| ~ ( m2_relset_1 @ X5 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X5 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X5 )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t5_filter_2]) ).
thf(zip_derived_cl915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( X1
!= ( k1_realset1 @ X0 @ sk__17 ) )
| ~ ( r1_lattice2 @ ( u1_struct_0 @ sk__16 ) @ X0 @ X2 )
| ( X3
!= ( k1_realset1 @ X2 @ sk__17 ) )
| ( r1_lattice2 @ sk__17 @ X1 @ X3 )
| ~ ( m2_relset_1 @ X3 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ X3 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( m2_relset_1 @ X2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X2 )
| ( v1_xboole_0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl914,zip_derived_cl85]) ).
thf(zip_derived_cl101,plain,
~ ( v1_xboole_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( X1
!= ( k1_realset1 @ X0 @ sk__17 ) )
| ~ ( r1_lattice2 @ ( u1_struct_0 @ sk__16 ) @ X0 @ X2 )
| ( X3
!= ( k1_realset1 @ X2 @ sk__17 ) )
| ( r1_lattice2 @ sk__17 @ X1 @ X3 )
| ~ ( m2_relset_1 @ X3 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ X3 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( m2_relset_1 @ X2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl915,zip_derived_cl101]) ).
thf(zip_derived_cl914_005,plain,
m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl671,zip_derived_cl88,zip_derived_cl89,zip_derived_cl90]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ X0 @ X1 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X2 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X1 @ X0 )
| ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) )
| ~ ( v1_xboole_0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl86]) ).
thf(zip_derived_cl917,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) )
| ( v1_xboole_0 @ sk__17 )
| ~ ( m1_subset_1 @ X0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl914,zip_derived_cl668]) ).
thf(zip_derived_cl101_006,plain,
~ ( v1_xboole_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl920,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m1_subset_1 @ X0 @ sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl917,zip_derived_cl101]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__4 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl921,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl920,zip_derived_cl29]) ).
thf(zip_derived_cl1384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( X1
!= ( k1_realset1 @ X0 @ sk__17 ) )
| ~ ( r1_lattice2 @ ( u1_struct_0 @ sk__16 ) @ X0 @ X2 )
| ( X3
!= ( k1_realset1 @ X2 @ sk__17 ) )
| ( r1_lattice2 @ sk__17 @ X1 @ X3 )
| ~ ( m2_relset_1 @ X3 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ X3 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( m2_relset_1 @ X2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl918,zip_derived_cl921]) ).
thf(zip_derived_cl1385,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ sk__16 )
| ~ ( v10_lattices @ sk__16 )
| ~ ( l3_lattices @ sk__16 )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( r1_lattice2 @ sk__17 @ X1 @ X0 )
| ( X0
!= ( k1_realset1 @ ( u1_lattices @ sk__16 ) @ sk__17 ) )
| ( X1
!= ( k1_realset1 @ ( u2_lattices @ sk__16 ) @ sk__17 ) )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl1384]) ).
thf(zip_derived_cl88_007,plain,
~ ( v3_struct_0 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89_008,plain,
v10_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90_009,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95,plain,
( sk__19
= ( k1_realset1 @ ( u1_lattices @ sk__16 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94,plain,
( sk__18
= ( k1_realset1 @ ( u2_lattices @ sk__16 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1387,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( r1_lattice2 @ sk__17 @ X1 @ X0 )
| ( X0 != sk__19 )
| ( X1 != sk__18 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1385,zip_derived_cl88,zip_derived_cl89,zip_derived_cl90,zip_derived_cl95,zip_derived_cl94]) ).
thf(zip_derived_cl96,plain,
( ~ ( v1_binop_1 @ sk__18 @ sk__17 )
| ~ ( v2_binop_1 @ sk__18 @ sk__17 )
| ~ ( v1_binop_1 @ sk__19 @ sk__17 )
| ~ ( v2_binop_1 @ sk__19 @ sk__17 )
| ~ ( r1_lattice2 @ sk__17 @ sk__18 @ sk__19 )
| ~ ( r1_lattice2 @ sk__17 @ sk__19 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_010,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(cc1_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v5_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc1_lattices]) ).
thf(fc3_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v5_lattices @ A )
& ( l2_lattices @ A ) )
=> ( ( v1_relat_1 @ ( u2_lattices @ A ) )
& ( v1_funct_1 @ ( u2_lattices @ A ) )
& ( v1_funct_2 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( v2_binop_1 @ ( u2_lattices @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( v2_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l2_lattices @ X0 )
| ~ ( v5_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc3_lattice2]) ).
thf(zip_derived_cl679,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l2_lattices @ X0 )
| ( v2_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl45]) ).
thf(zip_derived_cl738,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v2_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl679]) ).
thf(zip_derived_cl942,plain,
! [X0: $i] :
( ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( v2_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl738]) ).
thf(zip_derived_cl914_011,plain,
m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl671,zip_derived_cl88,zip_derived_cl89,zip_derived_cl90]) ).
thf(zip_derived_cl93,plain,
m2_relset_1 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t1_filter_2,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m2_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( k2_zfmisc_1 @ B @ B ) @ B )
& ( m2_relset_1 @ D @ ( k2_zfmisc_1 @ B @ B ) @ B ) )
=> ( ( D
= ( k1_realset1 @ C @ B ) )
=> ( ( ( v1_binop_1 @ C @ A )
=> ( v1_binop_1 @ D @ B ) )
& ( ( v3_binop_1 @ C @ A )
=> ( v3_binop_1 @ D @ B ) )
& ( ( v2_binop_1 @ C @ A )
=> ( v2_binop_1 @ D @ B ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v2_binop_1 @ X3 @ X1 )
| ( v2_binop_1 @ X2 @ X0 )
| ( X2
!= ( k1_realset1 @ X3 @ X0 ) )
| ~ ( m2_relset_1 @ X3 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X3 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X3 )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_filter_2]) ).
thf(zip_derived_cl821,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ( sk__18
!= ( k1_realset1 @ X1 @ sk__17 ) )
| ( v2_binop_1 @ sk__18 @ sk__17 )
| ~ ( v2_binop_1 @ X1 @ X0 )
| ~ ( v1_funct_2 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ sk__18 )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ X0 ) )
| ( v1_xboole_0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl77]) ).
thf(zip_derived_cl92,plain,
v1_funct_2 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
v1_funct_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_012,plain,
~ ( v1_xboole_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl825,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ( sk__18
!= ( k1_realset1 @ X1 @ sk__17 ) )
| ( v2_binop_1 @ sk__18 @ sk__17 )
| ~ ( v2_binop_1 @ X1 @ X0 )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl821,zip_derived_cl92,zip_derived_cl91,zip_derived_cl101]) ).
thf(zip_derived_cl730_013,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m2_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl24]) ).
thf(zip_derived_cl1005,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v2_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v2_binop_1 @ sk__18 @ sk__17 )
| ( sk__18
!= ( k1_realset1 @ ( u2_lattices @ X0 ) @ sk__17 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl825,zip_derived_cl730]) ).
thf(zip_derived_cl729_014,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl23]) ).
thf(zip_derived_cl1256,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
| ( sk__18
!= ( k1_realset1 @ ( u2_lattices @ X0 ) @ sk__17 ) )
| ( v2_binop_1 @ sk__18 @ sk__17 )
| ~ ( v2_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1005,zip_derived_cl729]) ).
thf(zip_derived_cl728_015,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u2_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl22]) ).
thf(zip_derived_cl1257,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v2_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v2_binop_1 @ sk__18 @ sk__17 )
| ( sk__18
!= ( k1_realset1 @ ( u2_lattices @ X0 ) @ sk__17 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1256,zip_derived_cl728]) ).
thf(zip_derived_cl1259,plain,
( ~ ( l3_lattices @ sk__16 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) )
| ( sk__18
!= ( k1_realset1 @ ( u2_lattices @ sk__16 ) @ sk__17 ) )
| ( v2_binop_1 @ sk__18 @ sk__17 )
| ~ ( v2_binop_1 @ ( u2_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl914,zip_derived_cl1257]) ).
thf(zip_derived_cl90_016,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl921_017,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl920,zip_derived_cl29]) ).
thf(zip_derived_cl94_018,plain,
( sk__18
= ( k1_realset1 @ ( u2_lattices @ sk__16 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1260,plain,
( ( sk__18 != sk__18 )
| ( v2_binop_1 @ sk__18 @ sk__17 )
| ~ ( v2_binop_1 @ ( u2_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1259,zip_derived_cl90,zip_derived_cl921,zip_derived_cl94]) ).
thf(zip_derived_cl1261,plain,
( ~ ( v2_binop_1 @ ( u2_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) )
| ( v2_binop_1 @ sk__18 @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1260]) ).
thf(zip_derived_cl1265,plain,
( ~ ( l3_lattices @ sk__16 )
| ( v3_struct_0 @ sk__16 )
| ~ ( v10_lattices @ sk__16 )
| ( v2_binop_1 @ sk__18 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl942,zip_derived_cl1261]) ).
thf(zip_derived_cl90_019,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88_020,plain,
~ ( v3_struct_0 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89_021,plain,
v10_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1266,plain,
v2_binop_1 @ sk__18 @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl1265,zip_derived_cl90,zip_derived_cl88,zip_derived_cl89]) ).
thf(zip_derived_cl1268,plain,
( ~ ( v1_binop_1 @ sk__18 @ sk__17 )
| ~ ( v1_binop_1 @ sk__19 @ sk__17 )
| ~ ( v2_binop_1 @ sk__19 @ sk__17 )
| ~ ( r1_lattice2 @ sk__17 @ sk__18 @ sk__19 )
| ~ ( r1_lattice2 @ sk__17 @ sk__19 @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl1266]) ).
thf(zip_derived_cl15_022,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v7_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc1_lattices]) ).
thf(fc5_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v7_lattices @ A )
& ( l1_lattices @ A ) )
=> ( ( v1_relat_1 @ ( u1_lattices @ A ) )
& ( v1_funct_1 @ ( u1_lattices @ A ) )
& ( v1_funct_2 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( v2_binop_1 @ ( u1_lattices @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ( v2_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_lattices @ X0 )
| ~ ( v7_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc5_lattice2]) ).
thf(zip_derived_cl687,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_lattices @ X0 )
| ( v2_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl58]) ).
thf(zip_derived_cl710,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v2_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl687]) ).
thf(zip_derived_cl940,plain,
! [X0: $i] :
( ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( v2_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl710]) ).
thf(zip_derived_cl914_023,plain,
m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl671,zip_derived_cl88,zip_derived_cl89,zip_derived_cl90]) ).
thf(zip_derived_cl97,plain,
m2_relset_1 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v2_binop_1 @ X3 @ X1 )
| ( v2_binop_1 @ X2 @ X0 )
| ( X2
!= ( k1_realset1 @ X3 @ X0 ) )
| ~ ( m2_relset_1 @ X3 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X3 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X3 )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_filter_2]) ).
thf(zip_derived_cl822,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ( sk__19
!= ( k1_realset1 @ X1 @ sk__17 ) )
| ( v2_binop_1 @ sk__19 @ sk__17 )
| ~ ( v2_binop_1 @ X1 @ X0 )
| ~ ( v1_funct_2 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ X0 ) )
| ( v1_xboole_0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl77]) ).
thf(zip_derived_cl98,plain,
v1_funct_2 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99,plain,
v1_funct_1 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_025,plain,
~ ( v1_xboole_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl826,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ( sk__19
!= ( k1_realset1 @ X1 @ sk__17 ) )
| ( v2_binop_1 @ sk__19 @ sk__17 )
| ~ ( v2_binop_1 @ X1 @ X0 )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl98,zip_derived_cl99,zip_derived_cl101]) ).
thf(zip_derived_cl702_026,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m2_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl21]) ).
thf(zip_derived_cl1075,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v2_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v2_binop_1 @ sk__19 @ sk__17 )
| ( sk__19
!= ( k1_realset1 @ ( u1_lattices @ X0 ) @ sk__17 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl826,zip_derived_cl702]) ).
thf(zip_derived_cl701_027,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).
thf(zip_derived_cl1303,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ( sk__19
!= ( k1_realset1 @ ( u1_lattices @ X0 ) @ sk__17 ) )
| ( v2_binop_1 @ sk__19 @ sk__17 )
| ~ ( v2_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1075,zip_derived_cl701]) ).
thf(zip_derived_cl700_028,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u1_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl19]) ).
thf(zip_derived_cl1304,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v2_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v2_binop_1 @ sk__19 @ sk__17 )
| ( sk__19
!= ( k1_realset1 @ ( u1_lattices @ X0 ) @ sk__17 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1303,zip_derived_cl700]) ).
thf(zip_derived_cl1306,plain,
( ~ ( l3_lattices @ sk__16 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) )
| ( sk__19
!= ( k1_realset1 @ ( u1_lattices @ sk__16 ) @ sk__17 ) )
| ( v2_binop_1 @ sk__19 @ sk__17 )
| ~ ( v2_binop_1 @ ( u1_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl914,zip_derived_cl1304]) ).
thf(zip_derived_cl90_029,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl921_030,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl920,zip_derived_cl29]) ).
thf(zip_derived_cl95_031,plain,
( sk__19
= ( k1_realset1 @ ( u1_lattices @ sk__16 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1307,plain,
( ( sk__19 != sk__19 )
| ( v2_binop_1 @ sk__19 @ sk__17 )
| ~ ( v2_binop_1 @ ( u1_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1306,zip_derived_cl90,zip_derived_cl921,zip_derived_cl95]) ).
thf(zip_derived_cl1308,plain,
( ~ ( v2_binop_1 @ ( u1_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) )
| ( v2_binop_1 @ sk__19 @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1307]) ).
thf(zip_derived_cl1312,plain,
( ~ ( l3_lattices @ sk__16 )
| ( v3_struct_0 @ sk__16 )
| ~ ( v10_lattices @ sk__16 )
| ( v2_binop_1 @ sk__19 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl1308]) ).
thf(zip_derived_cl90_032,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88_033,plain,
~ ( v3_struct_0 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89_034,plain,
v10_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1313,plain,
v2_binop_1 @ sk__19 @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl1312,zip_derived_cl90,zip_derived_cl88,zip_derived_cl89]) ).
thf(zip_derived_cl1315,plain,
( ~ ( v1_binop_1 @ sk__18 @ sk__17 )
| ~ ( v1_binop_1 @ sk__19 @ sk__17 )
| ~ ( r1_lattice2 @ sk__17 @ sk__18 @ sk__19 )
| ~ ( r1_lattice2 @ sk__17 @ sk__19 @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1268,zip_derived_cl1313]) ).
thf(zip_derived_cl16_035,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v4_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc1_lattices]) ).
thf(fc2_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( l2_lattices @ A ) )
=> ( ( v1_relat_1 @ ( u2_lattices @ A ) )
& ( v1_funct_1 @ ( u2_lattices @ A ) )
& ( v1_funct_2 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( v1_binop_1 @ ( u2_lattices @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( v1_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l2_lattices @ X0 )
| ~ ( v4_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc2_lattice2]) ).
thf(zip_derived_cl675,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l2_lattices @ X0 )
| ( v1_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl38]) ).
thf(zip_derived_cl734,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl675]) ).
thf(zip_derived_cl941,plain,
! [X0: $i] :
( ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( v1_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl734]) ).
thf(zip_derived_cl914_036,plain,
m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl671,zip_derived_cl88,zip_derived_cl89,zip_derived_cl90]) ).
thf(zip_derived_cl93_037,plain,
m2_relset_1 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v1_binop_1 @ X3 @ X1 )
| ( v1_binop_1 @ X2 @ X0 )
| ( X2
!= ( k1_realset1 @ X3 @ X0 ) )
| ~ ( m2_relset_1 @ X3 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X3 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X3 )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_filter_2]) ).
thf(zip_derived_cl852,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ( sk__18
!= ( k1_realset1 @ X1 @ sk__17 ) )
| ( v1_binop_1 @ sk__18 @ sk__17 )
| ~ ( v1_binop_1 @ X1 @ X0 )
| ~ ( v1_funct_2 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ sk__18 )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ X0 ) )
| ( v1_xboole_0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl79]) ).
thf(zip_derived_cl92_038,plain,
v1_funct_2 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91_039,plain,
v1_funct_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_040,plain,
~ ( v1_xboole_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl856,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ( sk__18
!= ( k1_realset1 @ X1 @ sk__17 ) )
| ( v1_binop_1 @ sk__18 @ sk__17 )
| ~ ( v1_binop_1 @ X1 @ X0 )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl852,zip_derived_cl92,zip_derived_cl91,zip_derived_cl101]) ).
thf(zip_derived_cl730_041,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m2_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl24]) ).
thf(zip_derived_cl1154,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v1_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v1_binop_1 @ sk__18 @ sk__17 )
| ( sk__18
!= ( k1_realset1 @ ( u2_lattices @ X0 ) @ sk__17 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl856,zip_derived_cl730]) ).
thf(zip_derived_cl729_042,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl23]) ).
thf(zip_derived_cl1320,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
| ( sk__18
!= ( k1_realset1 @ ( u2_lattices @ X0 ) @ sk__17 ) )
| ( v1_binop_1 @ sk__18 @ sk__17 )
| ~ ( v1_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1154,zip_derived_cl729]) ).
thf(zip_derived_cl728_043,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u2_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl22]) ).
thf(zip_derived_cl1321,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v1_binop_1 @ ( u2_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v1_binop_1 @ sk__18 @ sk__17 )
| ( sk__18
!= ( k1_realset1 @ ( u2_lattices @ X0 ) @ sk__17 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1320,zip_derived_cl728]) ).
thf(zip_derived_cl1323,plain,
( ~ ( l3_lattices @ sk__16 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) )
| ( sk__18
!= ( k1_realset1 @ ( u2_lattices @ sk__16 ) @ sk__17 ) )
| ( v1_binop_1 @ sk__18 @ sk__17 )
| ~ ( v1_binop_1 @ ( u2_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl914,zip_derived_cl1321]) ).
thf(zip_derived_cl90_044,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl921_045,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl920,zip_derived_cl29]) ).
thf(zip_derived_cl94_046,plain,
( sk__18
= ( k1_realset1 @ ( u2_lattices @ sk__16 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1324,plain,
( ( sk__18 != sk__18 )
| ( v1_binop_1 @ sk__18 @ sk__17 )
| ~ ( v1_binop_1 @ ( u2_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1323,zip_derived_cl90,zip_derived_cl921,zip_derived_cl94]) ).
thf(zip_derived_cl1325,plain,
( ~ ( v1_binop_1 @ ( u2_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) )
| ( v1_binop_1 @ sk__18 @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1324]) ).
thf(zip_derived_cl1329,plain,
( ~ ( l3_lattices @ sk__16 )
| ( v3_struct_0 @ sk__16 )
| ~ ( v10_lattices @ sk__16 )
| ( v1_binop_1 @ sk__18 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl941,zip_derived_cl1325]) ).
thf(zip_derived_cl90_047,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88_048,plain,
~ ( v3_struct_0 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89_049,plain,
v10_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1330,plain,
v1_binop_1 @ sk__18 @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl1329,zip_derived_cl90,zip_derived_cl88,zip_derived_cl89]) ).
thf(zip_derived_cl1333,plain,
( ~ ( v1_binop_1 @ sk__19 @ sk__17 )
| ~ ( r1_lattice2 @ sk__17 @ sk__18 @ sk__19 )
| ~ ( r1_lattice2 @ sk__17 @ sk__19 @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1315,zip_derived_cl1330]) ).
thf(zip_derived_cl15_050,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v6_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc1_lattices]) ).
thf(fc4_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v6_lattices @ A )
& ( l1_lattices @ A ) )
=> ( ( v1_relat_1 @ ( u1_lattices @ A ) )
& ( v1_funct_1 @ ( u1_lattices @ A ) )
& ( v1_funct_2 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( v1_binop_1 @ ( u1_lattices @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( v1_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_lattices @ X0 )
| ~ ( v6_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc4_lattice2]) ).
thf(zip_derived_cl683,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_lattices @ X0 )
| ( v1_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl52]) ).
thf(zip_derived_cl706,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl683]) ).
thf(zip_derived_cl939,plain,
! [X0: $i] :
( ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ( v1_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl706]) ).
thf(zip_derived_cl914_051,plain,
m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl671,zip_derived_cl88,zip_derived_cl89,zip_derived_cl90]) ).
thf(zip_derived_cl97_052,plain,
m2_relset_1 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79_053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v1_binop_1 @ X3 @ X1 )
| ( v1_binop_1 @ X2 @ X0 )
| ( X2
!= ( k1_realset1 @ X3 @ X0 ) )
| ~ ( m2_relset_1 @ X3 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X3 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X3 )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_filter_2]) ).
thf(zip_derived_cl853,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ( sk__19
!= ( k1_realset1 @ X1 @ sk__17 ) )
| ( v1_binop_1 @ sk__19 @ sk__17 )
| ~ ( v1_binop_1 @ X1 @ X0 )
| ~ ( v1_funct_2 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ X0 ) )
| ( v1_xboole_0 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl79]) ).
thf(zip_derived_cl98_054,plain,
v1_funct_2 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99_055,plain,
v1_funct_1 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101_056,plain,
~ ( v1_xboole_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl857,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ( sk__19
!= ( k1_realset1 @ X1 @ sk__17 ) )
| ( v1_binop_1 @ sk__19 @ sk__17 )
| ~ ( v1_binop_1 @ X1 @ X0 )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl853,zip_derived_cl98,zip_derived_cl99,zip_derived_cl101]) ).
thf(zip_derived_cl702_057,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m2_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl21]) ).
thf(zip_derived_cl1219,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v1_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v1_binop_1 @ sk__19 @ sk__17 )
| ( sk__19
!= ( k1_realset1 @ ( u1_lattices @ X0 ) @ sk__17 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl857,zip_derived_cl702]) ).
thf(zip_derived_cl701_058,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).
thf(zip_derived_cl1363,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ( sk__19
!= ( k1_realset1 @ ( u1_lattices @ X0 ) @ sk__17 ) )
| ( v1_binop_1 @ sk__19 @ sk__17 )
| ~ ( v1_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1219,zip_derived_cl701]) ).
thf(zip_derived_cl700_059,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u1_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl19]) ).
thf(zip_derived_cl1364,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v1_binop_1 @ ( u1_lattices @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v1_binop_1 @ sk__19 @ sk__17 )
| ( sk__19
!= ( k1_realset1 @ ( u1_lattices @ X0 ) @ sk__17 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1363,zip_derived_cl700]) ).
thf(zip_derived_cl1366,plain,
( ~ ( l3_lattices @ sk__16 )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) )
| ( sk__19
!= ( k1_realset1 @ ( u1_lattices @ sk__16 ) @ sk__17 ) )
| ( v1_binop_1 @ sk__19 @ sk__17 )
| ~ ( v1_binop_1 @ ( u1_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl914,zip_derived_cl1364]) ).
thf(zip_derived_cl90_060,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl921_061,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl920,zip_derived_cl29]) ).
thf(zip_derived_cl95_062,plain,
( sk__19
= ( k1_realset1 @ ( u1_lattices @ sk__16 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1367,plain,
( ( sk__19 != sk__19 )
| ( v1_binop_1 @ sk__19 @ sk__17 )
| ~ ( v1_binop_1 @ ( u1_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1366,zip_derived_cl90,zip_derived_cl921,zip_derived_cl95]) ).
thf(zip_derived_cl1368,plain,
( ~ ( v1_binop_1 @ ( u1_lattices @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) )
| ( v1_binop_1 @ sk__19 @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1367]) ).
thf(zip_derived_cl1372,plain,
( ~ ( l3_lattices @ sk__16 )
| ( v3_struct_0 @ sk__16 )
| ~ ( v10_lattices @ sk__16 )
| ( v1_binop_1 @ sk__19 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl939,zip_derived_cl1368]) ).
thf(zip_derived_cl90_063,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88_064,plain,
~ ( v3_struct_0 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89_065,plain,
v10_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1373,plain,
v1_binop_1 @ sk__19 @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl1372,zip_derived_cl90,zip_derived_cl88,zip_derived_cl89]) ).
thf(zip_derived_cl1375,plain,
( ~ ( r1_lattice2 @ sk__17 @ sk__18 @ sk__19 )
| ~ ( r1_lattice2 @ sk__17 @ sk__19 @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl1333,zip_derived_cl1373]) ).
thf(t41_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( r1_lattice2 @ ( u1_struct_0 @ A ) @ ( u1_lattices @ A ) @ ( u2_lattices @ A ) ) ) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ( r1_lattice2 @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ ( u2_lattices @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t41_lattice2]) ).
thf(zip_derived_cl1384_066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( X1
!= ( k1_realset1 @ X0 @ sk__17 ) )
| ~ ( r1_lattice2 @ ( u1_struct_0 @ sk__16 ) @ X0 @ X2 )
| ( X3
!= ( k1_realset1 @ X2 @ sk__17 ) )
| ( r1_lattice2 @ sk__17 @ X1 @ X3 )
| ~ ( m2_relset_1 @ X3 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ X3 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ X3 )
| ~ ( m2_relset_1 @ X2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl918,zip_derived_cl921]) ).
thf(zip_derived_cl1386,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ sk__16 )
| ~ ( v10_lattices @ sk__16 )
| ~ ( l3_lattices @ sk__16 )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( r1_lattice2 @ sk__17 @ X1 @ X0 )
| ( X0
!= ( k1_realset1 @ ( u2_lattices @ sk__16 ) @ sk__17 ) )
| ( X1
!= ( k1_realset1 @ ( u1_lattices @ sk__16 ) @ sk__17 ) )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl1384]) ).
thf(zip_derived_cl88_067,plain,
~ ( v3_struct_0 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89_068,plain,
v10_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90_069,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94_070,plain,
( sk__18
= ( k1_realset1 @ ( u2_lattices @ sk__16 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95_071,plain,
( sk__19
= ( k1_realset1 @ ( u1_lattices @ sk__16 ) @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1388,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( r1_lattice2 @ sk__17 @ X1 @ X0 )
| ( X0 != sk__18 )
| ( X1 != sk__19 )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1386,zip_derived_cl88,zip_derived_cl89,zip_derived_cl90,zip_derived_cl94,zip_derived_cl95]) ).
thf(zip_derived_cl1485,plain,
( ~ ( r1_lattice2 @ sk__17 @ sk__18 @ sk__19 )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( v1_funct_2 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( sk__19 != sk__19 )
| ( sk__18 != sk__18 )
| ~ ( m2_relset_1 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ sk__18 )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1375,zip_derived_cl1388]) ).
thf(zip_derived_cl99_072,plain,
v1_funct_1 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98_073,plain,
v1_funct_2 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97_074,plain,
m2_relset_1 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93_075,plain,
m2_relset_1 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_076,plain,
v1_funct_2 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91_077,plain,
v1_funct_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1486,plain,
( ~ ( r1_lattice2 @ sk__17 @ sk__18 @ sk__19 )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ( sk__19 != sk__19 )
| ( sk__18 != sk__18 )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1485,zip_derived_cl99,zip_derived_cl98,zip_derived_cl97,zip_derived_cl93,zip_derived_cl92,zip_derived_cl91]) ).
thf(zip_derived_cl1487,plain,
( ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( r1_lattice2 @ sk__17 @ sk__18 @ sk__19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1486]) ).
thf(zip_derived_cl1499,plain,
( ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ sk__18 )
| ~ ( v1_funct_2 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( m2_relset_1 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ( sk__18 != sk__18 )
| ( sk__19 != sk__19 )
| ~ ( m2_relset_1 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_2 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1387,zip_derived_cl1487]) ).
thf(zip_derived_cl91_078,plain,
v1_funct_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_079,plain,
v1_funct_2 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93_080,plain,
m2_relset_1 @ sk__18 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97_081,plain,
m2_relset_1 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98_082,plain,
v1_funct_2 @ sk__19 @ ( k2_zfmisc_1 @ sk__17 @ sk__17 ) @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99_083,plain,
v1_funct_1 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1501,plain,
( ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ( sk__18 != sk__18 )
| ( sk__19 != sk__19 )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1499,zip_derived_cl91,zip_derived_cl92,zip_derived_cl93,zip_derived_cl97,zip_derived_cl98,zip_derived_cl99]) ).
thf(zip_derived_cl1502,plain,
( ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1501]) ).
thf(zip_derived_cl1510,plain,
( ~ ( l3_lattices @ sk__16 )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl1502]) ).
thf(zip_derived_cl90_084,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1511,plain,
( ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( m2_relset_1 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1510,zip_derived_cl90]) ).
thf(zip_derived_cl1514,plain,
( ~ ( l3_lattices @ sk__16 )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl1511]) ).
thf(zip_derived_cl90_085,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1515,plain,
( ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1514,zip_derived_cl90]) ).
thf(zip_derived_cl1518,plain,
( ~ ( l3_lattices @ sk__16 )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl701,zip_derived_cl1515]) ).
thf(zip_derived_cl90_086,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1519,plain,
( ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ sk__16 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__16 ) @ ( u1_struct_0 @ sk__16 ) ) @ ( u1_struct_0 @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1518,zip_derived_cl90]) ).
thf(zip_derived_cl1522,plain,
( ~ ( l3_lattices @ sk__16 )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl729,zip_derived_cl1519]) ).
thf(zip_derived_cl90_087,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1523,plain,
( ~ ( v1_funct_1 @ ( u1_lattices @ sk__16 ) )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1522,zip_derived_cl90]) ).
thf(zip_derived_cl1528,plain,
( ~ ( l3_lattices @ sk__16 )
| ~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl700,zip_derived_cl1523]) ).
thf(zip_derived_cl90_088,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1529,plain,
~ ( v1_funct_1 @ ( u2_lattices @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl1528,zip_derived_cl90]) ).
thf(zip_derived_cl1534,plain,
~ ( l3_lattices @ sk__16 ),
inference('sup-',[status(thm)],[zip_derived_cl728,zip_derived_cl1529]) ).
thf(zip_derived_cl90_089,plain,
l3_lattices @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1535,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1534,zip_derived_cl90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT326+1 : TPTP v9.2.0. Released v3.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6Ub7UCGtA9 true
% 0.12/0.36 % Computer : n016.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Oct 1 14:31:38 EDT 2025
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.49/0.62 % Total configuration time : 435
% 0.49/0.62 % Estimated wc time : 1092
% 0.49/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 4.27/1.19 % Solved by fo/fo3_bce.sh.
% 4.27/1.19 % BCE start: 102
% 4.27/1.19 % BCE eliminated: 5
% 4.27/1.19 % PE start: 97
% 4.27/1.19 logic: eq
% 4.27/1.19 % PE eliminated: -18
% 4.27/1.19 % done 343 iterations in 0.412s
% 4.27/1.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.27/1.19 % SZS output start Refutation
% See solution above
% 4.27/1.20
% 4.27/1.20
% 4.27/1.20 % Terminating...
% 4.61/1.32 % Runner terminated.
% 4.61/1.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------