TSTP Solution File: LAT338+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.em7BjydR3R true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:47:05 EDT 2023
% Result : Theorem 54.32s 8.41s
% Output : Refutation 54.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 61
% Syntax : Number of formulae : 390 ( 130 unt; 38 typ; 0 def)
% Number of atoms : 1265 ( 168 equ; 86 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 4663 ( 407 ~; 315 |; 293 &;3449 @)
% ( 15 <=>; 87 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 55 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 38 usr; 7 con; 0-3 aty)
% ( 91 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 472 ( 97 ^; 373 !; 2 ?; 472 :)
% Comments :
%------------------------------------------------------------------------------
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(l1_lattices_type,type,
l1_lattices: $i > $o ).
thf(v3_conlat_1_type,type,
v3_conlat_1: $i > $o ).
thf(g3_lattices_type,type,
g3_lattices: $i > $i > $i > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(u2_lattices_type,type,
u2_lattices: $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(v6_conlat_1_type,type,
v6_conlat_1: $i > $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(u1_lattices_type,type,
u1_lattices: $i > $i ).
thf(k8_conlat_1_type,type,
k8_conlat_1: $i > $i ).
thf(k10_conlat_1_type,type,
k10_conlat_1: $i > $i ).
thf(k7_conlat_1_type,type,
k7_conlat_1: $i > $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(l2_conlat_1_type,type,
l2_conlat_1: $i > $o ).
thf(k16_lattice3_type,type,
k16_lattice3: $i > $i > $i ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
thf(a_2_1_lattice3_type,type,
a_2_1_lattice3: $i > $i > $i ).
thf(k9_conlat_1_type,type,
k9_conlat_1: $i > $i ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(k11_conlat_1_type,type,
k11_conlat_1: $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v7_conlat_1_type,type,
v7_conlat_1: $i > $i > $o ).
thf('#sk23_type',type,
'#sk23': $i > $i ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(l3_conlat_1_type,type,
l3_conlat_1: $i > $i > $o ).
thf(v9_conlat_1_type,type,
v9_conlat_1: $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf('#sk11_type',type,
'#sk11': $i > $i ).
thf(k15_lattice3_type,type,
k15_lattice3: $i > $i > $i ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(l2_lattices_type,type,
l2_lattices: $i > $o ).
thf(t4_conlat_2,conjecture,
! [A: $i] :
( ( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) ) )
=> ( ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ~ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ~ ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) ) )
=> ( ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ~ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A )
& ~ ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ A ) @ B ) @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t4_conlat_2]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ( l2_conlat_1 @ Y0 )
& ( (~) @ ( v3_conlat_1 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( m1_subset_1 @ Y1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k11_conlat_1 @ Y0 ) ) ) )
=> ( ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ Y0 ) @ Y1 ) @ Y0 )
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ Y0 ) @ Y1 ) @ Y0 )
& ( (~) @ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ Y0 ) @ Y1 ) @ Y0 ) )
& ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ Y0 ) @ Y1 ) @ Y0 )
& ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ Y0 ) @ Y1 ) @ Y0 )
& ( (~) @ ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ Y0 ) @ Y1 ) @ Y0 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106,plain,
~ ( ( ( l2_conlat_1 @ '#sk1' )
& ( (~) @ ( v3_conlat_1 @ '#sk1' ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( m1_subset_1 @ Y0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) )
=> ( ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' )
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' )
& ( (~) @ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' ) )
& ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' )
& ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' )
& ( (~) @ ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl108,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( m1_subset_1 @ Y0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) )
=> ( ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' )
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' )
& ( (~) @ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' ) )
& ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' )
& ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' )
& ( (~) @ ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ Y0 ) @ '#sk1' ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl111,plain,
~ ( ( m1_subset_1 @ '#sk2' @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) )
=> ( ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
& ( (~) @ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' ) )
& ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
& ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
& ( (~) @ ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl113,plain,
~ ( ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
& ( (~) @ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' ) )
& ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
& ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
& ( (~) @ ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl114,plain,
( ~ ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
| ~ ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
| ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
| ~ ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
| ~ ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
| ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl107,plain,
( ( l2_conlat_1 @ '#sk1' )
& ( (~) @ ( v3_conlat_1 @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl109,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(dt_k11_conlat_1,axiom,
! [A: $i] :
( ( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A ) )
=> ( ( l3_lattices @ ( k11_conlat_1 @ A ) )
& ( v3_lattices @ ( k11_conlat_1 @ A ) )
& ~ ( v3_struct_0 @ ( k11_conlat_1 @ A ) ) ) ) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: $i] :
( ( ( l2_conlat_1 @ Y0 )
& ( (~) @ ( v3_conlat_1 @ Y0 ) ) )
=> ( ( l3_lattices @ ( k11_conlat_1 @ Y0 ) )
& ( v3_lattices @ ( k11_conlat_1 @ Y0 ) )
& ( (~) @ ( v3_struct_0 @ ( k11_conlat_1 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[dt_k11_conlat_1]) ).
thf(zip_derived_cl627,plain,
! [X2: $i] :
( ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
=> ( ( l3_lattices @ ( k11_conlat_1 @ X2 ) )
& ( v3_lattices @ ( k11_conlat_1 @ X2 ) )
& ( (~) @ ( v3_struct_0 @ ( k11_conlat_1 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl628,plain,
! [X2: $i] :
( ~ ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
| ( ( l3_lattices @ ( k11_conlat_1 @ X2 ) )
& ( v3_lattices @ ( k11_conlat_1 @ X2 ) )
& ( (~) @ ( v3_struct_0 @ ( k11_conlat_1 @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl627]) ).
thf(zip_derived_cl629,plain,
! [X2: $i] :
( ~ ( l2_conlat_1 @ X2 )
| ( v3_conlat_1 @ X2 )
| ( ( l3_lattices @ ( k11_conlat_1 @ X2 ) )
& ( v3_lattices @ ( k11_conlat_1 @ X2 ) )
& ( (~) @ ( v3_struct_0 @ ( k11_conlat_1 @ X2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl628]) ).
thf(zip_derived_cl630,plain,
! [X2: $i] :
( ( l3_lattices @ ( k11_conlat_1 @ X2 ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl629]) ).
thf(zip_derived_cl633,plain,
( ( l3_lattices @ ( k11_conlat_1 @ '#sk1' ) )
| ( v3_conlat_1 @ '#sk1' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl630]) ).
thf(zip_derived_cl110,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl635,plain,
l3_lattices @ ( k11_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl633,zip_derived_cl110]) ).
thf(dt_k15_lattice3,axiom,
! [A: $i,B: $i] :
( ( ( l3_lattices @ A )
& ~ ( v3_struct_0 @ A ) )
=> ( m1_subset_1 @ ( k15_lattice3 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( l3_lattices @ Y0 )
& ( (~) @ ( v3_struct_0 @ Y0 ) ) )
=> ( m1_subset_1 @ ( k15_lattice3 @ Y0 @ Y1 ) @ ( u1_struct_0 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[dt_k15_lattice3]) ).
thf(zip_derived_cl513,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( l3_lattices @ X2 )
& ( (~) @ ( v3_struct_0 @ X2 ) ) )
=> ( m1_subset_1 @ ( k15_lattice3 @ X2 @ Y0 ) @ ( u1_struct_0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl514,plain,
! [X2: $i,X4: $i] :
( ( ( l3_lattices @ X2 )
& ( (~) @ ( v3_struct_0 @ X2 ) ) )
=> ( m1_subset_1 @ ( k15_lattice3 @ X2 @ X4 ) @ ( u1_struct_0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl513]) ).
thf(zip_derived_cl515,plain,
! [X2: $i,X4: $i] :
( ~ ( ( l3_lattices @ X2 )
& ( (~) @ ( v3_struct_0 @ X2 ) ) )
| ( m1_subset_1 @ ( k15_lattice3 @ X2 @ X4 ) @ ( u1_struct_0 @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl514]) ).
thf(zip_derived_cl516,plain,
! [X2: $i,X4: $i] :
( ~ ( l3_lattices @ X2 )
| ( v3_struct_0 @ X2 )
| ( m1_subset_1 @ ( k15_lattice3 @ X2 @ X4 ) @ ( u1_struct_0 @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl515]) ).
thf(zip_derived_cl649,plain,
! [X0: $i] :
( ( v3_struct_0 @ ( k11_conlat_1 @ '#sk1' ) )
| ( m1_subset_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl516]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( r2_hidden @ A @ B )
| ( v1_xboole_0 @ B ) ) ) ).
thf(zip_derived_cl97,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( m1_subset_1 @ Y0 @ Y1 )
=> ( ( r2_hidden @ Y0 @ Y1 )
| ( v1_xboole_0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl424,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( m1_subset_1 @ X2 @ Y0 )
=> ( ( r2_hidden @ X2 @ Y0 )
| ( v1_xboole_0 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl425,plain,
! [X2: $i,X4: $i] :
( ( m1_subset_1 @ X2 @ X4 )
=> ( ( r2_hidden @ X2 @ X4 )
| ( v1_xboole_0 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl424]) ).
thf(zip_derived_cl426,plain,
! [X2: $i,X4: $i] :
( ~ ( m1_subset_1 @ X2 @ X4 )
| ( r2_hidden @ X2 @ X4 )
| ( v1_xboole_0 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl425]) ).
thf(zip_derived_cl427,plain,
! [X2: $i,X4: $i] :
( ( r2_hidden @ X2 @ X4 )
| ( v1_xboole_0 @ X4 )
| ~ ( m1_subset_1 @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl426]) ).
thf(zip_derived_cl712,plain,
! [X0: $i] :
( ( v3_struct_0 @ ( k11_conlat_1 @ '#sk1' ) )
| ( r2_hidden @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl427]) ).
thf(zip_derived_cl109_001,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(dt_k9_conlat_1,axiom,
! [A: $i] :
( ( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A ) )
=> ( ( m2_relset_1 @ ( k9_conlat_1 @ A ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ A ) @ ( k8_conlat_1 @ A ) ) @ ( k8_conlat_1 @ A ) )
& ( v1_funct_2 @ ( k9_conlat_1 @ A ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ A ) @ ( k8_conlat_1 @ A ) ) @ ( k8_conlat_1 @ A ) )
& ( v1_funct_1 @ ( k9_conlat_1 @ A ) ) ) ) ).
thf(zip_derived_cl26,plain,
( !!
@ ^ [Y0: $i] :
( ( ( l2_conlat_1 @ Y0 )
& ( (~) @ ( v3_conlat_1 @ Y0 ) ) )
=> ( ( m2_relset_1 @ ( k9_conlat_1 @ Y0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ Y0 ) @ ( k8_conlat_1 @ Y0 ) ) @ ( k8_conlat_1 @ Y0 ) )
& ( v1_funct_2 @ ( k9_conlat_1 @ Y0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ Y0 ) @ ( k8_conlat_1 @ Y0 ) ) @ ( k8_conlat_1 @ Y0 ) )
& ( v1_funct_1 @ ( k9_conlat_1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[dt_k9_conlat_1]) ).
thf(zip_derived_cl680,plain,
! [X2: $i] :
( ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
=> ( ( m2_relset_1 @ ( k9_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_2 @ ( k9_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_1 @ ( k9_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl681,plain,
! [X2: $i] :
( ~ ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
| ( ( m2_relset_1 @ ( k9_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_2 @ ( k9_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_1 @ ( k9_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl680]) ).
thf(zip_derived_cl682,plain,
! [X2: $i] :
( ~ ( l2_conlat_1 @ X2 )
| ( v3_conlat_1 @ X2 )
| ( ( m2_relset_1 @ ( k9_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_2 @ ( k9_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_1 @ ( k9_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl681]) ).
thf(zip_derived_cl684,plain,
! [X2: $i] :
( ( v1_funct_2 @ ( k9_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl682]) ).
thf(zip_derived_cl708,plain,
( ( v1_funct_2 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ '#sk1' ) @ ( k8_conlat_1 @ '#sk1' ) ) @ ( k8_conlat_1 @ '#sk1' ) )
| ( v3_conlat_1 @ '#sk1' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl684]) ).
thf(zip_derived_cl109_002,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(redefinition_k8_conlat_1,axiom,
! [A: $i] :
( ( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A ) )
=> ( ( k8_conlat_1 @ A )
= ( k7_conlat_1 @ A ) ) ) ).
thf(zip_derived_cl93,plain,
( !!
@ ^ [Y0: $i] :
( ( ( l2_conlat_1 @ Y0 )
& ( (~) @ ( v3_conlat_1 @ Y0 ) ) )
=> ( ( k8_conlat_1 @ Y0 )
= ( k7_conlat_1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[redefinition_k8_conlat_1]) ).
thf(zip_derived_cl440,plain,
! [X2: $i] :
( ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
=> ( ( k8_conlat_1 @ X2 )
= ( k7_conlat_1 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl441,plain,
! [X2: $i] :
( ~ ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
| ( ( k8_conlat_1 @ X2 )
= ( k7_conlat_1 @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl440]) ).
thf(zip_derived_cl442,plain,
! [X2: $i] :
( ~ ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
| ( ( k8_conlat_1 @ X2 )
= ( k7_conlat_1 @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl441]) ).
thf(zip_derived_cl443,plain,
! [X2: $i] :
( ~ ( l2_conlat_1 @ X2 )
| ( v3_conlat_1 @ X2 )
| ( ( k8_conlat_1 @ X2 )
= ( k7_conlat_1 @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl444,plain,
( ( v3_conlat_1 @ '#sk1' )
| ( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl443]) ).
thf(zip_derived_cl110_003,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl446,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl446_004,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl446_005,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl110_006,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl710,plain,
v1_funct_2 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl708,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl109_007,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(dt_k10_conlat_1,axiom,
! [A: $i] :
( ( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A ) )
=> ( ( m2_relset_1 @ ( k10_conlat_1 @ A ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ A ) @ ( k8_conlat_1 @ A ) ) @ ( k8_conlat_1 @ A ) )
& ( v1_funct_2 @ ( k10_conlat_1 @ A ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ A ) @ ( k8_conlat_1 @ A ) ) @ ( k8_conlat_1 @ A ) )
& ( v1_funct_1 @ ( k10_conlat_1 @ A ) ) ) ) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: $i] :
( ( ( l2_conlat_1 @ Y0 )
& ( (~) @ ( v3_conlat_1 @ Y0 ) ) )
=> ( ( m2_relset_1 @ ( k10_conlat_1 @ Y0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ Y0 ) @ ( k8_conlat_1 @ Y0 ) ) @ ( k8_conlat_1 @ Y0 ) )
& ( v1_funct_2 @ ( k10_conlat_1 @ Y0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ Y0 ) @ ( k8_conlat_1 @ Y0 ) ) @ ( k8_conlat_1 @ Y0 ) )
& ( v1_funct_1 @ ( k10_conlat_1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[dt_k10_conlat_1]) ).
thf(zip_derived_cl610,plain,
! [X2: $i] :
( ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
=> ( ( m2_relset_1 @ ( k10_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_2 @ ( k10_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_1 @ ( k10_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl611,plain,
! [X2: $i] :
( ~ ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
| ( ( m2_relset_1 @ ( k10_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_2 @ ( k10_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_1 @ ( k10_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl610]) ).
thf(zip_derived_cl612,plain,
! [X2: $i] :
( ~ ( l2_conlat_1 @ X2 )
| ( v3_conlat_1 @ X2 )
| ( ( m2_relset_1 @ ( k10_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_2 @ ( k10_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
& ( v1_funct_1 @ ( k10_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl611]) ).
thf(zip_derived_cl614,plain,
! [X2: $i] :
( ( v1_funct_2 @ ( k10_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl612]) ).
thf(zip_derived_cl622,plain,
( ( v1_funct_2 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ '#sk1' ) @ ( k8_conlat_1 @ '#sk1' ) ) @ ( k8_conlat_1 @ '#sk1' ) )
| ( v3_conlat_1 @ '#sk1' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl614]) ).
thf(zip_derived_cl446_008,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl446_009,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl446_010,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl110_011,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl624,plain,
v1_funct_2 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(fc3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ A ) )
=> ( ( v3_lattices @ ( g3_lattices @ A @ B @ C ) )
& ~ ( v3_struct_0 @ ( g3_lattices @ A @ B @ C ) ) ) ) ).
thf(zip_derived_cl65,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( m1_relset_1 @ Y2 @ ( k2_zfmisc_1 @ Y0 @ Y0 ) @ Y0 )
& ( v1_funct_2 @ Y2 @ ( k2_zfmisc_1 @ Y0 @ Y0 ) @ Y0 )
& ( v1_funct_1 @ Y2 )
& ( m1_relset_1 @ Y1 @ ( k2_zfmisc_1 @ Y0 @ Y0 ) @ Y0 )
& ( v1_funct_2 @ Y1 @ ( k2_zfmisc_1 @ Y0 @ Y0 ) @ Y0 )
& ( v1_funct_1 @ Y1 )
& ( (~) @ ( v1_xboole_0 @ Y0 ) ) )
=> ( ( v3_lattices @ ( g3_lattices @ Y0 @ Y1 @ Y2 ) )
& ( (~) @ ( v3_struct_0 @ ( g3_lattices @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fc3_lattices]) ).
thf(zip_derived_cl872,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( m1_relset_1 @ Y1 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ Y1 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ Y1 )
& ( m1_relset_1 @ Y0 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ Y0 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ Y0 )
& ( (~) @ ( v1_xboole_0 @ X2 ) ) )
=> ( ( v3_lattices @ ( g3_lattices @ X2 @ Y0 @ Y1 ) )
& ( (~) @ ( v3_struct_0 @ ( g3_lattices @ X2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl873,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( m1_relset_1 @ Y0 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ Y0 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ Y0 )
& ( m1_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X4 )
& ( (~) @ ( v1_xboole_0 @ X2 ) ) )
=> ( ( v3_lattices @ ( g3_lattices @ X2 @ X4 @ Y0 ) )
& ( (~) @ ( v3_struct_0 @ ( g3_lattices @ X2 @ X4 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl872]) ).
thf(zip_derived_cl874,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( m1_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X6 )
& ( m1_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X4 )
& ( (~) @ ( v1_xboole_0 @ X2 ) ) )
=> ( ( v3_lattices @ ( g3_lattices @ X2 @ X4 @ X6 ) )
& ( (~) @ ( v3_struct_0 @ ( g3_lattices @ X2 @ X4 @ X6 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl873]) ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) ).
thf(zip_derived_cl94,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( m2_relset_1 @ Y2 @ Y0 @ Y1 )
<=> ( m1_relset_1 @ Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl316,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( m2_relset_1 @ Y1 @ X2 @ Y0 )
<=> ( m1_relset_1 @ Y1 @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl317,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( m2_relset_1 @ Y0 @ X2 @ X4 )
<=> ( m1_relset_1 @ Y0 @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl316]) ).
thf(zip_derived_cl318,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( m2_relset_1 @ X6 @ X2 @ X4 )
<=> ( m1_relset_1 @ X6 @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl317]) ).
thf(zip_derived_cl319,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( m2_relset_1 @ X6 @ X2 @ X4 )
= ( m1_relset_1 @ X6 @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl319_012,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( m2_relset_1 @ X6 @ X2 @ X4 )
= ( m1_relset_1 @ X6 @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl875,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X6 )
& ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X4 )
& ( (~) @ ( v1_xboole_0 @ X2 ) ) )
=> ( ( v3_lattices @ ( g3_lattices @ X2 @ X4 @ X6 ) )
& ( (~) @ ( v3_struct_0 @ ( g3_lattices @ X2 @ X4 @ X6 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl874,zip_derived_cl319,zip_derived_cl319]) ).
thf(zip_derived_cl876,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X6 )
& ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X4 )
& ( (~) @ ( v1_xboole_0 @ X2 ) ) )
| ( ( v3_lattices @ ( g3_lattices @ X2 @ X4 @ X6 ) )
& ( (~) @ ( v3_struct_0 @ ( g3_lattices @ X2 @ X4 @ X6 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl875]) ).
thf(zip_derived_cl877,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X4 )
| ( v1_xboole_0 @ X2 )
| ( ( v3_lattices @ ( g3_lattices @ X2 @ X4 @ X6 ) )
& ( (~) @ ( v3_struct_0 @ ( g3_lattices @ X2 @ X4 @ X6 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl876]) ).
thf(zip_derived_cl879,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( v3_struct_0 @ ( g3_lattices @ X2 @ X4 @ X6 ) )
| ( v1_xboole_0 @ X2 )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl877]) ).
thf(zip_derived_cl1154,plain,
! [X0: $i] :
( ~ ( v3_struct_0 @ ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ X0 ) )
| ( v1_xboole_0 @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( v1_funct_1 @ ( k10_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl879]) ).
thf(dt_k7_conlat_1,axiom,
! [A: $i] :
( ( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( k7_conlat_1 @ A ) ) ) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: $i] :
( ( ( l2_conlat_1 @ Y0 )
& ( (~) @ ( v3_conlat_1 @ Y0 ) ) )
=> ( (~) @ ( v1_xboole_0 @ ( k7_conlat_1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[dt_k7_conlat_1]) ).
thf(zip_derived_cl340,plain,
! [X2: $i] :
( ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
=> ( (~) @ ( v1_xboole_0 @ ( k7_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl341,plain,
! [X2: $i] :
( ~ ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
| ~ ( v1_xboole_0 @ ( k7_conlat_1 @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl340]) ).
thf(zip_derived_cl342,plain,
! [X2: $i] :
( ~ ( l2_conlat_1 @ X2 )
| ( v3_conlat_1 @ X2 )
| ~ ( v1_xboole_0 @ ( k7_conlat_1 @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl341]) ).
thf(zip_derived_cl110_013,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl343,plain,
( ~ ( v1_xboole_0 @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( l2_conlat_1 @ '#sk1' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl110]) ).
thf(zip_derived_cl109_014,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl344,plain,
~ ( v1_xboole_0 @ ( k7_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl343,zip_derived_cl109]) ).
thf(zip_derived_cl109_015,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl615,plain,
! [X2: $i] :
( ( v1_funct_1 @ ( k10_conlat_1 @ X2 ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl612]) ).
thf(zip_derived_cl619,plain,
( ( v1_funct_1 @ ( k10_conlat_1 @ '#sk1' ) )
| ( v3_conlat_1 @ '#sk1' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl615]) ).
thf(zip_derived_cl110_016,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl621,plain,
v1_funct_1 @ ( k10_conlat_1 @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl619,zip_derived_cl110]) ).
thf(zip_derived_cl109_017,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl613,plain,
! [X2: $i] :
( ( m2_relset_1 @ ( k10_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl612]) ).
thf(zip_derived_cl616,plain,
( ( m2_relset_1 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ '#sk1' ) @ ( k8_conlat_1 @ '#sk1' ) ) @ ( k8_conlat_1 @ '#sk1' ) )
| ( v3_conlat_1 @ '#sk1' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl613]) ).
thf(zip_derived_cl446_018,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl446_019,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl446_020,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl110_021,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl618,plain,
m2_relset_1 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl616,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl1159,plain,
! [X0: $i] :
( ~ ( v3_struct_0 @ ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ X0 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1154,zip_derived_cl344,zip_derived_cl621,zip_derived_cl618]) ).
thf(zip_derived_cl1186,plain,
( ~ ( v3_struct_0 @ ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) ) )
| ~ ( v1_funct_1 @ ( k9_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl1159]) ).
thf(zip_derived_cl109_022,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(d23_conlat_1,axiom,
! [A: $i] :
( ( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A ) )
=> ( ( k11_conlat_1 @ A )
= ( g3_lattices @ ( k8_conlat_1 @ A ) @ ( k10_conlat_1 @ A ) @ ( k9_conlat_1 @ A ) ) ) ) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: $i] :
( ( ( l2_conlat_1 @ Y0 )
& ( (~) @ ( v3_conlat_1 @ Y0 ) ) )
=> ( ( k11_conlat_1 @ Y0 )
= ( g3_lattices @ ( k8_conlat_1 @ Y0 ) @ ( k10_conlat_1 @ Y0 ) @ ( k9_conlat_1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[d23_conlat_1]) ).
thf(zip_derived_cl491,plain,
! [X2: $i] :
( ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
=> ( ( k11_conlat_1 @ X2 )
= ( g3_lattices @ ( k8_conlat_1 @ X2 ) @ ( k10_conlat_1 @ X2 ) @ ( k9_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl492,plain,
! [X2: $i] :
( ~ ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
| ( ( k11_conlat_1 @ X2 )
= ( g3_lattices @ ( k8_conlat_1 @ X2 ) @ ( k10_conlat_1 @ X2 ) @ ( k9_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl491]) ).
thf(zip_derived_cl493,plain,
! [X2: $i] :
( ~ ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
| ( ( k11_conlat_1 @ X2 )
= ( g3_lattices @ ( k8_conlat_1 @ X2 ) @ ( k10_conlat_1 @ X2 ) @ ( k9_conlat_1 @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl492]) ).
thf(zip_derived_cl494,plain,
! [X2: $i] :
( ~ ( l2_conlat_1 @ X2 )
| ( v3_conlat_1 @ X2 )
| ( ( k11_conlat_1 @ X2 )
= ( g3_lattices @ ( k8_conlat_1 @ X2 ) @ ( k10_conlat_1 @ X2 ) @ ( k9_conlat_1 @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl493]) ).
thf(zip_derived_cl495,plain,
( ( v3_conlat_1 @ '#sk1' )
| ( ( k11_conlat_1 @ '#sk1' )
= ( g3_lattices @ ( k8_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl494]) ).
thf(zip_derived_cl110_023,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl446_024,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl497,plain,
( ( k11_conlat_1 @ '#sk1' )
= ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl495,zip_derived_cl110,zip_derived_cl446]) ).
thf(zip_derived_cl109_025,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl685,plain,
! [X2: $i] :
( ( v1_funct_1 @ ( k9_conlat_1 @ X2 ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl682]) ).
thf(zip_derived_cl690,plain,
( ( v1_funct_1 @ ( k9_conlat_1 @ '#sk1' ) )
| ( v3_conlat_1 @ '#sk1' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl685]) ).
thf(zip_derived_cl110_026,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl692,plain,
v1_funct_1 @ ( k9_conlat_1 @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl690,zip_derived_cl110]) ).
thf(zip_derived_cl109_027,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl683,plain,
! [X2: $i] :
( ( m2_relset_1 @ ( k9_conlat_1 @ X2 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X2 ) @ ( k8_conlat_1 @ X2 ) ) @ ( k8_conlat_1 @ X2 ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl682]) ).
thf(zip_derived_cl686,plain,
( ( m2_relset_1 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ '#sk1' ) @ ( k8_conlat_1 @ '#sk1' ) ) @ ( k8_conlat_1 @ '#sk1' ) )
| ( v3_conlat_1 @ '#sk1' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl683]) ).
thf(zip_derived_cl446_028,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl446_029,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl446_030,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl110_031,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl688,plain,
m2_relset_1 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl1189,plain,
~ ( v3_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1186,zip_derived_cl497,zip_derived_cl692,zip_derived_cl688]) ).
thf(zip_derived_cl1194,plain,
! [X0: $i] :
( ( r2_hidden @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl712,zip_derived_cl1189]) ).
thf(zip_derived_cl635_032,plain,
l3_lattices @ ( k11_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl633,zip_derived_cl110]) ).
thf(dt_l3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l2_lattices @ A )
& ( l1_lattices @ A ) ) ) ).
thf(zip_derived_cl33,plain,
( !!
@ ^ [Y0: $i] :
( ( l3_lattices @ Y0 )
=> ( ( l2_lattices @ Y0 )
& ( l1_lattices @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl193,plain,
! [X2: $i] :
( ( l3_lattices @ X2 )
=> ( ( l2_lattices @ X2 )
& ( l1_lattices @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl194,plain,
! [X2: $i] :
( ~ ( l3_lattices @ X2 )
| ( ( l2_lattices @ X2 )
& ( l1_lattices @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl196,plain,
! [X2: $i] :
( ( l1_lattices @ X2 )
| ~ ( l3_lattices @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl637,plain,
l1_lattices @ ( k11_conlat_1 @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl196]) ).
thf(dt_l1_lattices,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl28,plain,
( !!
@ ^ [Y0: $i] :
( ( l1_lattices @ Y0 )
=> ( l1_struct_0 @ Y0 ) ) ),
inference(cnf,[status(esa)],[dt_l1_lattices]) ).
thf(zip_derived_cl144,plain,
! [X2: $i] :
( ( l1_lattices @ X2 )
=> ( l1_struct_0 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl145,plain,
! [X2: $i] :
( ~ ( l1_lattices @ X2 )
| ( l1_struct_0 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl650,plain,
l1_struct_0 @ ( k11_conlat_1 @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl637,zip_derived_cl145]) ).
thf(rc5_struct_0,axiom,
! [A: $i] :
( ( ( l1_struct_0 @ A )
& ~ ( v3_struct_0 @ A ) )
=> ? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
& ~ ( v1_xboole_0 @ B ) ) ) ).
thf(zip_derived_cl88,plain,
( !!
@ ^ [Y0: $i] :
( ( ( l1_struct_0 @ Y0 )
& ( (~) @ ( v3_struct_0 @ Y0 ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( m1_subset_1 @ Y1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ Y0 ) ) )
& ( (~) @ ( v1_xboole_0 @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[rc5_struct_0]) ).
thf(zip_derived_cl1326,plain,
! [X2: $i] :
( ( ( l1_struct_0 @ X2 )
& ( (~) @ ( v3_struct_0 @ X2 ) ) )
=> ( ??
@ ^ [Y0: $i] :
( ( m1_subset_1 @ Y0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X2 ) ) )
& ( (~) @ ( v1_xboole_0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl1327,plain,
! [X2: $i] :
( ~ ( ( l1_struct_0 @ X2 )
& ( (~) @ ( v3_struct_0 @ X2 ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( m1_subset_1 @ Y0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X2 ) ) )
& ( (~) @ ( v1_xboole_0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1326]) ).
thf(zip_derived_cl1328,plain,
! [X2: $i] :
( ~ ( l1_struct_0 @ X2 )
| ( v3_struct_0 @ X2 )
| ( ??
@ ^ [Y0: $i] :
( ( m1_subset_1 @ Y0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X2 ) ) )
& ( (~) @ ( v1_xboole_0 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1327]) ).
thf(zip_derived_cl1329,plain,
! [X2: $i] :
( ( ( m1_subset_1 @ ( '#sk23' @ ( u1_struct_0 @ X2 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X2 ) ) )
& ( (~) @ ( v1_xboole_0 @ ( '#sk23' @ ( u1_struct_0 @ X2 ) ) ) ) )
| ( v3_struct_0 @ X2 )
| ~ ( l1_struct_0 @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1328]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) ).
thf(zip_derived_cl100,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( m1_subset_1 @ Y0 @ ( k1_zfmisc_1 @ Y1 ) )
<=> ( r1_tarski @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl259,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ Y0 ) )
<=> ( r1_tarski @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl260,plain,
! [X2: $i,X4: $i] :
( ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X4 ) )
<=> ( r1_tarski @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl261,plain,
! [X2: $i,X4: $i] :
( ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X4 ) )
= ( r1_tarski @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl1330,plain,
! [X2: $i] :
( ( ( r1_tarski @ ( '#sk23' @ ( u1_struct_0 @ X2 ) ) @ ( u1_struct_0 @ X2 ) )
& ( (~) @ ( v1_xboole_0 @ ( '#sk23' @ ( u1_struct_0 @ X2 ) ) ) ) )
| ( v3_struct_0 @ X2 )
| ~ ( l1_struct_0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1329,zip_derived_cl261]) ).
thf(zip_derived_cl1331,plain,
! [X2: $i] :
( ( r1_tarski @ ( '#sk23' @ ( u1_struct_0 @ X2 ) ) @ ( u1_struct_0 @ X2 ) )
| ~ ( l1_struct_0 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1330]) ).
thf(zip_derived_cl1334,plain,
( ( r1_tarski @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) )
| ( v3_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl1331]) ).
thf(zip_derived_cl1189_033,plain,
~ ( v3_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1186,zip_derived_cl497,zip_derived_cl692,zip_derived_cl688]) ).
thf(zip_derived_cl1342,plain,
r1_tarski @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1334,zip_derived_cl1189]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( r2_hidden @ A @ B ) )
=> ( m1_subset_1 @ A @ C ) ) ).
thf(zip_derived_cl101,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( m1_subset_1 @ Y1 @ ( k1_zfmisc_1 @ Y2 ) )
& ( r2_hidden @ Y0 @ Y1 ) )
=> ( m1_subset_1 @ Y0 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl586,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( m1_subset_1 @ Y0 @ ( k1_zfmisc_1 @ Y1 ) )
& ( r2_hidden @ X2 @ Y0 ) )
=> ( m1_subset_1 @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl587,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( m1_subset_1 @ X4 @ ( k1_zfmisc_1 @ Y0 ) )
& ( r2_hidden @ X2 @ X4 ) )
=> ( m1_subset_1 @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl586]) ).
thf(zip_derived_cl588,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( m1_subset_1 @ X4 @ ( k1_zfmisc_1 @ X6 ) )
& ( r2_hidden @ X2 @ X4 ) )
=> ( m1_subset_1 @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl587]) ).
thf(zip_derived_cl261_034,plain,
! [X2: $i,X4: $i] :
( ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X4 ) )
= ( r1_tarski @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl589,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( r1_tarski @ X4 @ X6 )
& ( r2_hidden @ X2 @ X4 ) )
=> ( m1_subset_1 @ X2 @ X6 ) ),
inference(demod,[status(thm)],[zip_derived_cl588,zip_derived_cl261]) ).
thf(zip_derived_cl590,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( r1_tarski @ X4 @ X6 )
& ( r2_hidden @ X2 @ X4 ) )
| ( m1_subset_1 @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl589]) ).
thf(zip_derived_cl591,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( r1_tarski @ X4 @ X6 )
| ~ ( r2_hidden @ X2 @ X4 )
| ( m1_subset_1 @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl590]) ).
thf(zip_derived_cl1352,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) )
| ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1342,zip_derived_cl591]) ).
thf(zip_derived_cl427_035,plain,
! [X2: $i,X4: $i] :
( ( r2_hidden @ X2 @ X4 )
| ( v1_xboole_0 @ X4 )
| ~ ( m1_subset_1 @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl426]) ).
thf(zip_derived_cl1552,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) )
| ( r2_hidden @ X0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1352,zip_derived_cl427]) ).
thf(zip_derived_cl1342_036,plain,
r1_tarski @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1334,zip_derived_cl1189]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( v1_xboole_0 @ C )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( r2_hidden @ A @ B ) ) ).
thf(zip_derived_cl102,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( (~)
@ ( ( v1_xboole_0 @ Y2 )
& ( m1_subset_1 @ Y1 @ ( k1_zfmisc_1 @ Y2 ) )
& ( r2_hidden @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl503,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( (~)
@ ( ( v1_xboole_0 @ Y1 )
& ( m1_subset_1 @ Y0 @ ( k1_zfmisc_1 @ Y1 ) )
& ( r2_hidden @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl504,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( (~)
@ ( ( v1_xboole_0 @ Y0 )
& ( m1_subset_1 @ X4 @ ( k1_zfmisc_1 @ Y0 ) )
& ( r2_hidden @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl503]) ).
thf(zip_derived_cl505,plain,
! [X2: $i,X4: $i,X6: $i] :
~ ( ( v1_xboole_0 @ X6 )
& ( m1_subset_1 @ X4 @ ( k1_zfmisc_1 @ X6 ) )
& ( r2_hidden @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl504]) ).
thf(zip_derived_cl261_037,plain,
! [X2: $i,X4: $i] :
( ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X4 ) )
= ( r1_tarski @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl506,plain,
! [X2: $i,X4: $i,X6: $i] :
~ ( ( v1_xboole_0 @ X6 )
& ( r1_tarski @ X4 @ X6 )
& ( r2_hidden @ X2 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl261]) ).
thf(zip_derived_cl507,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( v1_xboole_0 @ X6 )
| ~ ( r1_tarski @ X4 @ X6 )
| ~ ( r2_hidden @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl506]) ).
thf(zip_derived_cl1351,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) )
| ~ ( r2_hidden @ X0 @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1342,zip_derived_cl507]) ).
thf(zip_derived_cl1593,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) )
| ~ ( r2_hidden @ X0 @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1552,zip_derived_cl1351]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) ).
thf(zip_derived_cl54,plain,
( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( m1_subset_1 @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl140,plain,
! [X2: $i] :
( ??
@ ^ [Y0: $i] : ( m1_subset_1 @ Y0 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl141,plain,
! [X2: $i] : ( m1_subset_1 @ ( '#sk11' @ X2 ) @ X2 ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl427_038,plain,
! [X2: $i,X4: $i] :
( ( r2_hidden @ X2 @ X4 )
| ( v1_xboole_0 @ X4 )
| ~ ( m1_subset_1 @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl426]) ).
thf(zip_derived_cl433,plain,
! [X0: $i] :
( ( r2_hidden @ ( '#sk11' @ X0 ) @ X0 )
| ( v1_xboole_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl427]) ).
thf(zip_derived_cl1594,plain,
( ( r2_hidden @ ( '#sk11' @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ) @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) )
| ( v1_xboole_0 @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1593,zip_derived_cl433]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ B )
& ( r2_hidden @ A @ B ) ) ).
thf(zip_derived_cl104,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( (~)
@ ( ( v1_xboole_0 @ Y1 )
& ( r2_hidden @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl187,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( (~)
@ ( ( v1_xboole_0 @ Y0 )
& ( r2_hidden @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl188,plain,
! [X2: $i,X4: $i] :
~ ( ( v1_xboole_0 @ X4 )
& ( r2_hidden @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl189,plain,
! [X2: $i,X4: $i] :
( ~ ( v1_xboole_0 @ X4 )
| ~ ( r2_hidden @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl1770,plain,
( ( v1_xboole_0 @ ( '#sk23' @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1594,zip_derived_cl189]) ).
thf(zip_derived_cl1332,plain,
! [X2: $i] :
( ~ ( v1_xboole_0 @ ( '#sk23' @ ( u1_struct_0 @ X2 ) ) )
| ~ ( l1_struct_0 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1330]) ).
thf(zip_derived_cl1779,plain,
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) )
| ~ ( l1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) )
| ( v3_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1770,zip_derived_cl1332]) ).
thf(zip_derived_cl650_039,plain,
l1_struct_0 @ ( k11_conlat_1 @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl637,zip_derived_cl145]) ).
thf(zip_derived_cl1189_040,plain,
~ ( v3_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1186,zip_derived_cl497,zip_derived_cl692,zip_derived_cl688]) ).
thf(zip_derived_cl1781,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl650,zip_derived_cl1189]) ).
thf(zip_derived_cl1782,plain,
! [X0: $i] : ( r2_hidden @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1194,zip_derived_cl1781]) ).
thf(zip_derived_cl635_041,plain,
l3_lattices @ ( k11_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl633,zip_derived_cl110]) ).
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_cl1,plain,
( !!
@ ^ [Y0: $i] :
( ( l3_lattices @ Y0 )
=> ( ( v3_lattices @ Y0 )
=> ( Y0
= ( g3_lattices @ ( u1_struct_0 @ Y0 ) @ ( u2_lattices @ Y0 ) @ ( u1_lattices @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[abstractness_v3_lattices]) ).
thf(zip_derived_cl116,plain,
! [X2: $i] :
( ( l3_lattices @ X2 )
=> ( ( v3_lattices @ X2 )
=> ( X2
= ( g3_lattices @ ( u1_struct_0 @ X2 ) @ ( u2_lattices @ X2 ) @ ( u1_lattices @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl117,plain,
! [X2: $i] :
( ~ ( l3_lattices @ X2 )
| ( ( v3_lattices @ X2 )
=> ( X2
= ( g3_lattices @ ( u1_struct_0 @ X2 ) @ ( u2_lattices @ X2 ) @ ( u1_lattices @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl118,plain,
! [X2: $i] :
( ~ ( v3_lattices @ X2 )
| ( X2
= ( g3_lattices @ ( u1_struct_0 @ X2 ) @ ( u2_lattices @ X2 ) @ ( u1_lattices @ X2 ) ) )
| ~ ( l3_lattices @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl119,plain,
! [X2: $i] :
( ~ ( v3_lattices @ X2 )
| ( X2
= ( g3_lattices @ ( u1_struct_0 @ X2 ) @ ( u2_lattices @ X2 ) @ ( u1_lattices @ X2 ) ) )
| ~ ( l3_lattices @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl710_042,plain,
v1_funct_2 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl708,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl624_043,plain,
v1_funct_2 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(free_g3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ B ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g3_lattices @ A @ B @ C )
= ( g3_lattices @ D @ E @ F ) )
=> ( ( C = F )
& ( B = E )
& ( A = D ) ) ) ) ).
thf(zip_derived_cl73,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( m1_relset_1 @ Y2 @ ( k2_zfmisc_1 @ Y0 @ Y0 ) @ Y0 )
& ( v1_funct_2 @ Y2 @ ( k2_zfmisc_1 @ Y0 @ Y0 ) @ Y0 )
& ( v1_funct_1 @ Y2 )
& ( m1_relset_1 @ Y1 @ ( k2_zfmisc_1 @ Y0 @ Y0 ) @ Y0 )
& ( v1_funct_2 @ Y1 @ ( k2_zfmisc_1 @ Y0 @ Y0 ) @ Y0 )
& ( v1_funct_1 @ Y1 ) )
=> ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( g3_lattices @ Y0 @ Y1 @ Y2 )
= ( g3_lattices @ Y3 @ Y4 @ Y5 ) )
=> ( ( Y2 = Y5 )
& ( Y1 = Y4 )
& ( Y0 = Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[free_g3_lattices]) ).
thf(zip_derived_cl1117,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( m1_relset_1 @ Y1 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ Y1 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ Y1 )
& ( m1_relset_1 @ Y0 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ Y0 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( g3_lattices @ X2 @ Y0 @ Y1 )
= ( g3_lattices @ Y2 @ Y3 @ Y4 ) )
=> ( ( Y1 = Y4 )
& ( Y0 = Y3 )
& ( X2 = Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl1118,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( m1_relset_1 @ Y0 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ Y0 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ Y0 )
& ( m1_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X4 ) )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( g3_lattices @ X2 @ X4 @ Y0 )
= ( g3_lattices @ Y1 @ Y2 @ Y3 ) )
=> ( ( Y0 = Y3 )
& ( X4 = Y2 )
& ( X2 = Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1117]) ).
thf(zip_derived_cl1119,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( m1_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X6 )
& ( m1_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X4 ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( g3_lattices @ X2 @ X4 @ X6 )
= ( g3_lattices @ Y0 @ Y1 @ Y2 ) )
=> ( ( X6 = Y2 )
& ( X4 = Y1 )
& ( X2 = Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1118]) ).
thf(zip_derived_cl319_044,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( m2_relset_1 @ X6 @ X2 @ X4 )
= ( m1_relset_1 @ X6 @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl319_045,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( m2_relset_1 @ X6 @ X2 @ X4 )
= ( m1_relset_1 @ X6 @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl1120,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X6 )
& ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X4 ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( g3_lattices @ X2 @ X4 @ X6 )
= ( g3_lattices @ Y0 @ Y1 @ Y2 ) )
=> ( ( X6 = Y2 )
& ( X4 = Y1 )
& ( X2 = Y0 ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1119,zip_derived_cl319,zip_derived_cl319]) ).
thf(zip_derived_cl1121,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X6 )
& ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
& ( v1_funct_1 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( g3_lattices @ X2 @ X4 @ X6 )
= ( g3_lattices @ Y0 @ Y1 @ Y2 ) )
=> ( ( X6 = Y2 )
& ( X4 = Y1 )
& ( X2 = Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1120]) ).
thf(zip_derived_cl1122,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X4 )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( g3_lattices @ X2 @ X4 @ X6 )
= ( g3_lattices @ Y0 @ Y1 @ Y2 ) )
=> ( ( X6 = Y2 )
& ( X4 = Y1 )
& ( X2 = Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1121]) ).
thf(zip_derived_cl1123,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( g3_lattices @ X2 @ X4 @ X6 )
= ( g3_lattices @ X8 @ Y0 @ Y1 ) )
=> ( ( X6 = Y1 )
& ( X4 = Y0 )
& ( X2 = X8 ) ) ) ) )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1122]) ).
thf(zip_derived_cl1124,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( g3_lattices @ X2 @ X4 @ X6 )
= ( g3_lattices @ X8 @ X10 @ Y0 ) )
=> ( ( X6 = Y0 )
& ( X4 = X10 )
& ( X2 = X8 ) ) ) )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1123]) ).
thf(zip_derived_cl1125,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( ( ( g3_lattices @ X2 @ X4 @ X6 )
= ( g3_lattices @ X8 @ X10 @ X12 ) )
=> ( ( X6 = X12 )
& ( X4 = X10 )
& ( X2 = X8 ) ) )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1124]) ).
thf(zip_derived_cl1126,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( ( g3_lattices @ X2 @ X4 @ X6 )
!= ( g3_lattices @ X8 @ X10 @ X12 ) )
| ( ( X6 = X12 )
& ( X4 = X10 )
& ( X2 = X8 ) )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1125]) ).
thf(zip_derived_cl1127,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( ( g3_lattices @ X2 @ X4 @ X6 )
!= ( g3_lattices @ X8 @ X10 @ X12 ) )
| ( ( X6 = X12 )
& ( X4 = X10 )
& ( X2 = X8 ) )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1126]) ).
thf(zip_derived_cl1128,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( X6 = X12 )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ( ( g3_lattices @ X2 @ X4 @ X6 )
!= ( g3_lattices @ X8 @ X10 @ X12 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1131,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( X6 = X12 )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ( ( g3_lattices @ X2 @ X4 @ X6 )
!= ( g3_lattices @ X8 @ X10 @ X12 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1128]) ).
thf(zip_derived_cl1136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ ( v1_funct_1 @ ( k10_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ( ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ X0 )
!= ( g3_lattices @ X3 @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl1131]) ).
thf(zip_derived_cl621_046,plain,
v1_funct_1 @ ( k10_conlat_1 @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl619,zip_derived_cl110]) ).
thf(zip_derived_cl618_047,plain,
m2_relset_1 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl616,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl1141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ( ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ X0 )
!= ( g3_lattices @ X3 @ X2 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1136,zip_derived_cl621,zip_derived_cl618]) ).
thf(zip_derived_cl1911,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k9_conlat_1 @ '#sk1' )
= X0 )
| ~ ( v1_funct_1 @ ( k9_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ( ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) )
!= ( g3_lattices @ X2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl1141]) ).
thf(zip_derived_cl692_048,plain,
v1_funct_1 @ ( k9_conlat_1 @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl690,zip_derived_cl110]) ).
thf(zip_derived_cl688_049,plain,
m2_relset_1 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl497_050,plain,
( ( k11_conlat_1 @ '#sk1' )
= ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl495,zip_derived_cl110,zip_derived_cl446]) ).
thf(zip_derived_cl1914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k9_conlat_1 @ '#sk1' )
= X0 )
| ( ( k11_conlat_1 @ '#sk1' )
!= ( g3_lattices @ X2 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1911,zip_derived_cl692,zip_derived_cl688,zip_derived_cl497]) ).
thf(zip_derived_cl1916,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v3_lattices @ X0 )
| ( ( k9_conlat_1 @ '#sk1' )
= ( u1_lattices @ X0 ) )
| ( ( k11_conlat_1 @ '#sk1' )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl1914]) ).
thf(zip_derived_cl1919,plain,
( ~ ( v3_lattices @ ( k11_conlat_1 @ '#sk1' ) )
| ( ( k9_conlat_1 @ '#sk1' )
= ( u1_lattices @ ( k11_conlat_1 @ '#sk1' ) ) )
| ( ( k11_conlat_1 @ '#sk1' )
!= ( k11_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl1916]) ).
thf(zip_derived_cl109_051,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl631,plain,
! [X2: $i] :
( ( v3_lattices @ ( k11_conlat_1 @ X2 ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl629]) ).
thf(zip_derived_cl651,plain,
( ( v3_lattices @ ( k11_conlat_1 @ '#sk1' ) )
| ( v3_conlat_1 @ '#sk1' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl631]) ).
thf(zip_derived_cl110_052,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl653,plain,
v3_lattices @ ( k11_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl110]) ).
thf(zip_derived_cl1926,plain,
( ( ( k9_conlat_1 @ '#sk1' )
= ( u1_lattices @ ( k11_conlat_1 @ '#sk1' ) ) )
| ( ( k11_conlat_1 @ '#sk1' )
!= ( k11_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1919,zip_derived_cl653]) ).
thf(zip_derived_cl1927,plain,
( ( k9_conlat_1 @ '#sk1' )
= ( u1_lattices @ ( k11_conlat_1 @ '#sk1' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1926]) ).
thf(zip_derived_cl119_053,plain,
! [X2: $i] :
( ~ ( v3_lattices @ X2 )
| ( X2
= ( g3_lattices @ ( u1_struct_0 @ X2 ) @ ( u2_lattices @ X2 ) @ ( u1_lattices @ X2 ) ) )
| ~ ( l3_lattices @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl1935,plain,
( ~ ( v3_lattices @ ( k11_conlat_1 @ '#sk1' ) )
| ( ( k11_conlat_1 @ '#sk1' )
= ( g3_lattices @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) @ ( u2_lattices @ ( k11_conlat_1 @ '#sk1' ) ) @ ( k9_conlat_1 @ '#sk1' ) ) )
| ~ ( l3_lattices @ ( k11_conlat_1 @ '#sk1' ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1927,zip_derived_cl119]) ).
thf(zip_derived_cl653_054,plain,
v3_lattices @ ( k11_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl110]) ).
thf(zip_derived_cl635_055,plain,
l3_lattices @ ( k11_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl633,zip_derived_cl110]) ).
thf(zip_derived_cl1940,plain,
( ( k11_conlat_1 @ '#sk1' )
= ( g3_lattices @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) @ ( u2_lattices @ ( k11_conlat_1 @ '#sk1' ) ) @ ( k9_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1935,zip_derived_cl653,zip_derived_cl635]) ).
thf(zip_derived_cl1940_056,plain,
( ( k11_conlat_1 @ '#sk1' )
= ( g3_lattices @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) @ ( u2_lattices @ ( k11_conlat_1 @ '#sk1' ) ) @ ( k9_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1935,zip_derived_cl653,zip_derived_cl635]) ).
thf(zip_derived_cl710_057,plain,
v1_funct_2 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl708,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl624_058,plain,
v1_funct_2 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl1129,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( X4 = X10 )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ( ( g3_lattices @ X2 @ X4 @ X6 )
!= ( g3_lattices @ X8 @ X10 @ X12 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1132,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( X4 = X10 )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ( ( g3_lattices @ X2 @ X4 @ X6 )
!= ( g3_lattices @ X8 @ X10 @ X12 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1129]) ).
thf(zip_derived_cl1880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k10_conlat_1 @ '#sk1' )
= X0 )
| ~ ( v1_funct_1 @ ( k10_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ( ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ X1 )
!= ( g3_lattices @ X3 @ X0 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl1132]) ).
thf(zip_derived_cl621_059,plain,
v1_funct_1 @ ( k10_conlat_1 @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl619,zip_derived_cl110]) ).
thf(zip_derived_cl618_060,plain,
m2_relset_1 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl616,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl1885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k10_conlat_1 @ '#sk1' )
= X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ( ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ X1 )
!= ( g3_lattices @ X3 @ X0 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1880,zip_derived_cl621,zip_derived_cl618]) ).
thf(zip_derived_cl2458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k10_conlat_1 @ '#sk1' )
= X0 )
| ~ ( v1_funct_1 @ ( k9_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ( ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) )
!= ( g3_lattices @ X2 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl1885]) ).
thf(zip_derived_cl692_061,plain,
v1_funct_1 @ ( k9_conlat_1 @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl690,zip_derived_cl110]) ).
thf(zip_derived_cl688_062,plain,
m2_relset_1 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl497_063,plain,
( ( k11_conlat_1 @ '#sk1' )
= ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl495,zip_derived_cl110,zip_derived_cl446]) ).
thf(zip_derived_cl2461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k10_conlat_1 @ '#sk1' )
= X0 )
| ( ( k11_conlat_1 @ '#sk1' )
!= ( g3_lattices @ X2 @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2458,zip_derived_cl692,zip_derived_cl688,zip_derived_cl497]) ).
thf(zip_derived_cl2464,plain,
( ( ( k10_conlat_1 @ '#sk1' )
= ( u2_lattices @ ( k11_conlat_1 @ '#sk1' ) ) )
| ( ( k11_conlat_1 @ '#sk1' )
!= ( k11_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1940,zip_derived_cl2461]) ).
thf(zip_derived_cl2467,plain,
( ( k10_conlat_1 @ '#sk1' )
= ( u2_lattices @ ( k11_conlat_1 @ '#sk1' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2464]) ).
thf(zip_derived_cl2473,plain,
( ( k11_conlat_1 @ '#sk1' )
= ( g3_lattices @ ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1940,zip_derived_cl2467]) ).
thf(zip_derived_cl710_064,plain,
v1_funct_2 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl708,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl624_065,plain,
v1_funct_2 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl1130,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( X2 = X8 )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ( ( g3_lattices @ X2 @ X4 @ X6 )
!= ( g3_lattices @ X8 @ X10 @ X12 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1133,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( X2 = X8 )
| ~ ( v1_funct_1 @ X4 )
| ~ ( v1_funct_2 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X4 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( v1_funct_1 @ X6 )
| ~ ( v1_funct_2 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ~ ( m2_relset_1 @ X6 @ ( k2_zfmisc_1 @ X2 @ X2 ) @ X2 )
| ( ( g3_lattices @ X2 @ X4 @ X6 )
!= ( g3_lattices @ X8 @ X10 @ X12 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1130]) ).
thf(zip_derived_cl1890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k7_conlat_1 @ '#sk1' )
= X0 )
| ~ ( v1_funct_1 @ ( k10_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ( ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ X1 )
!= ( g3_lattices @ X0 @ X3 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl1133]) ).
thf(zip_derived_cl621_066,plain,
v1_funct_1 @ ( k10_conlat_1 @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl619,zip_derived_cl110]) ).
thf(zip_derived_cl618_067,plain,
m2_relset_1 @ ( k10_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl616,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl1895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k7_conlat_1 @ '#sk1' )
= X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ( ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ X1 )
!= ( g3_lattices @ X0 @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1890,zip_derived_cl621,zip_derived_cl618]) ).
thf(zip_derived_cl2681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k7_conlat_1 @ '#sk1' )
= X0 )
| ~ ( v1_funct_1 @ ( k9_conlat_1 @ '#sk1' ) )
| ~ ( m2_relset_1 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ) )
| ( ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) )
!= ( g3_lattices @ X0 @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl1895]) ).
thf(zip_derived_cl692_068,plain,
v1_funct_1 @ ( k9_conlat_1 @ '#sk1' ),
inference(clc,[status(thm)],[zip_derived_cl690,zip_derived_cl110]) ).
thf(zip_derived_cl688_069,plain,
m2_relset_1 @ ( k9_conlat_1 @ '#sk1' ) @ ( k2_zfmisc_1 @ ( k7_conlat_1 @ '#sk1' ) @ ( k7_conlat_1 @ '#sk1' ) ) @ ( k7_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl446,zip_derived_cl446,zip_derived_cl446,zip_derived_cl110]) ).
thf(zip_derived_cl497_070,plain,
( ( k11_conlat_1 @ '#sk1' )
= ( g3_lattices @ ( k7_conlat_1 @ '#sk1' ) @ ( k10_conlat_1 @ '#sk1' ) @ ( k9_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl495,zip_derived_cl110,zip_derived_cl446]) ).
thf(zip_derived_cl2684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k7_conlat_1 @ '#sk1' )
= X0 )
| ( ( k11_conlat_1 @ '#sk1' )
!= ( g3_lattices @ X0 @ X2 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2681,zip_derived_cl692,zip_derived_cl688,zip_derived_cl497]) ).
thf(zip_derived_cl2687,plain,
( ( ( k7_conlat_1 @ '#sk1' )
= ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) )
| ( ( k11_conlat_1 @ '#sk1' )
!= ( k11_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2473,zip_derived_cl2684]) ).
thf(zip_derived_cl2690,plain,
( ( k7_conlat_1 @ '#sk1' )
= ( u1_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2687]) ).
thf(zip_derived_cl2710,plain,
! [X0: $i] : ( r2_hidden @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ ( k7_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1782,zip_derived_cl2690]) ).
thf(zip_derived_cl446_071,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(t35_conlat_1,axiom,
! [A: $i] :
( ( ( l2_conlat_1 @ A )
& ~ ( v3_conlat_1 @ A ) )
=> ! [B: $i] :
( ( r2_hidden @ B @ ( k8_conlat_1 @ A ) )
<=> ( ( l3_conlat_1 @ B @ A )
& ( v9_conlat_1 @ B @ A )
& ~ ( v7_conlat_1 @ B @ A )
& ( v6_conlat_1 @ B @ A ) ) ) ) ).
thf(zip_derived_cl99,plain,
( !!
@ ^ [Y0: $i] :
( ( ( l2_conlat_1 @ Y0 )
& ( (~) @ ( v3_conlat_1 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( r2_hidden @ Y1 @ ( k8_conlat_1 @ Y0 ) )
<=> ( ( l3_conlat_1 @ Y1 @ Y0 )
& ( v9_conlat_1 @ Y1 @ Y0 )
& ( (~) @ ( v7_conlat_1 @ Y1 @ Y0 ) )
& ( v6_conlat_1 @ Y1 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[t35_conlat_1]) ).
thf(zip_derived_cl1466,plain,
! [X2: $i] :
( ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( r2_hidden @ Y0 @ ( k8_conlat_1 @ X2 ) )
<=> ( ( l3_conlat_1 @ Y0 @ X2 )
& ( v9_conlat_1 @ Y0 @ X2 )
& ( (~) @ ( v7_conlat_1 @ Y0 @ X2 ) )
& ( v6_conlat_1 @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl1467,plain,
! [X2: $i] :
( ~ ( ( l2_conlat_1 @ X2 )
& ( (~) @ ( v3_conlat_1 @ X2 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( r2_hidden @ Y0 @ ( k8_conlat_1 @ X2 ) )
<=> ( ( l3_conlat_1 @ Y0 @ X2 )
& ( v9_conlat_1 @ Y0 @ X2 )
& ( (~) @ ( v7_conlat_1 @ Y0 @ X2 ) )
& ( v6_conlat_1 @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1466]) ).
thf(zip_derived_cl1468,plain,
! [X2: $i] :
( ~ ( l2_conlat_1 @ X2 )
| ( v3_conlat_1 @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( r2_hidden @ Y0 @ ( k8_conlat_1 @ X2 ) )
<=> ( ( l3_conlat_1 @ Y0 @ X2 )
& ( v9_conlat_1 @ Y0 @ X2 )
& ( (~) @ ( v7_conlat_1 @ Y0 @ X2 ) )
& ( v6_conlat_1 @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1467]) ).
thf(zip_derived_cl1469,plain,
! [X2: $i,X4: $i] :
( ( ( r2_hidden @ X4 @ ( k8_conlat_1 @ X2 ) )
<=> ( ( l3_conlat_1 @ X4 @ X2 )
& ( v9_conlat_1 @ X4 @ X2 )
& ( (~) @ ( v7_conlat_1 @ X4 @ X2 ) )
& ( v6_conlat_1 @ X4 @ X2 ) ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1468]) ).
thf(zip_derived_cl1470,plain,
! [X2: $i,X4: $i] :
( ( ( r2_hidden @ X4 @ ( k8_conlat_1 @ X2 ) )
= ( ( l3_conlat_1 @ X4 @ X2 )
& ( v9_conlat_1 @ X4 @ X2 )
& ( (~) @ ( v7_conlat_1 @ X4 @ X2 ) )
& ( v6_conlat_1 @ X4 @ X2 ) ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1469]) ).
thf(zip_derived_cl1487,plain,
! [X2: $i,X4: $i] :
( ~ ( r2_hidden @ X4 @ ( k8_conlat_1 @ X2 ) )
| ( ( l3_conlat_1 @ X4 @ X2 )
& ( v9_conlat_1 @ X4 @ X2 )
& ( (~) @ ( v7_conlat_1 @ X4 @ X2 ) )
& ( v6_conlat_1 @ X4 @ X2 ) )
| ~ ( l2_conlat_1 @ X2 )
| ( v3_conlat_1 @ X2 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl1470]) ).
thf(zip_derived_cl1685,plain,
! [X2: $i,X4: $i] :
( ~ ( v7_conlat_1 @ X4 @ X2 )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 )
| ~ ( r2_hidden @ X4 @ ( k8_conlat_1 @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1487]) ).
thf(zip_derived_cl1720,plain,
! [X0: $i] :
( ~ ( v7_conlat_1 @ X0 @ '#sk1' )
| ( v3_conlat_1 @ '#sk1' )
| ~ ( l2_conlat_1 @ '#sk1' )
| ~ ( r2_hidden @ X0 @ ( k7_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl1685]) ).
thf(zip_derived_cl110_072,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl109_073,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl1721,plain,
! [X0: $i] :
( ~ ( v7_conlat_1 @ X0 @ '#sk1' )
| ~ ( r2_hidden @ X0 @ ( k7_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1720,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3252,plain,
! [X0: $i] :
~ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl2710,zip_derived_cl1721]) ).
thf(zip_derived_cl3255,plain,
( ~ ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
| ~ ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
| ~ ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
| ~ ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' )
| ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl3252]) ).
thf(zip_derived_cl2710_074,plain,
! [X0: $i] : ( r2_hidden @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ ( k7_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1782,zip_derived_cl2690]) ).
thf(zip_derived_cl446_075,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl1683,plain,
! [X2: $i,X4: $i] :
( ( l3_conlat_1 @ X4 @ X2 )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 )
| ~ ( r2_hidden @ X4 @ ( k8_conlat_1 @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1487]) ).
thf(zip_derived_cl1690,plain,
! [X0: $i] :
( ( l3_conlat_1 @ X0 @ '#sk1' )
| ( v3_conlat_1 @ '#sk1' )
| ~ ( l2_conlat_1 @ '#sk1' )
| ~ ( r2_hidden @ X0 @ ( k7_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl1683]) ).
thf(zip_derived_cl110_076,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl109_077,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl1691,plain,
! [X0: $i] :
( ( l3_conlat_1 @ X0 @ '#sk1' )
| ~ ( r2_hidden @ X0 @ ( k7_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1690,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3251,plain,
! [X0: $i] : ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl2710,zip_derived_cl1691]) ).
thf(zip_derived_cl3251_078,plain,
! [X0: $i] : ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl2710,zip_derived_cl1691]) ).
thf(zip_derived_cl1470_079,plain,
! [X2: $i,X4: $i] :
( ( ( r2_hidden @ X4 @ ( k8_conlat_1 @ X2 ) )
= ( ( l3_conlat_1 @ X4 @ X2 )
& ( v9_conlat_1 @ X4 @ X2 )
& ( (~) @ ( v7_conlat_1 @ X4 @ X2 ) )
& ( v6_conlat_1 @ X4 @ X2 ) ) )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1469]) ).
thf(zip_derived_cl3261,plain,
! [X0: $i] :
( ( ( r2_hidden @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ ( k8_conlat_1 @ '#sk1' ) )
= ( $true
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' )
& ( (~) @ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ) )
& ( v6_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ) ) )
| ( v3_conlat_1 @ '#sk1' )
| ~ ( l2_conlat_1 @ '#sk1' ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3251,zip_derived_cl1470]) ).
thf(zip_derived_cl446_080,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl2710_081,plain,
! [X0: $i] : ( r2_hidden @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ ( k7_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1782,zip_derived_cl2690]) ).
thf(zip_derived_cl3252_082,plain,
! [X0: $i] :
~ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl2710,zip_derived_cl1721]) ).
thf(zip_derived_cl110_083,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl109_084,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl3265,plain,
! [X0: $i] :
( $true
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' )
& ( (~) @ $false )
& ( v6_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl3261,zip_derived_cl446,zip_derived_cl2710,zip_derived_cl3252,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3266,plain,
! [X0: $i] :
( ( v6_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' )
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl3265]) ).
thf(zip_derived_cl2710_085,plain,
! [X0: $i] : ( r2_hidden @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ ( k7_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1782,zip_derived_cl2690]) ).
thf(zip_derived_cl446_086,plain,
( ( k8_conlat_1 @ '#sk1' )
= ( k7_conlat_1 @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl110]) ).
thf(zip_derived_cl1686,plain,
! [X2: $i,X4: $i] :
( ( v6_conlat_1 @ X4 @ X2 )
| ( v3_conlat_1 @ X2 )
| ~ ( l2_conlat_1 @ X2 )
| ~ ( r2_hidden @ X4 @ ( k8_conlat_1 @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1487]) ).
thf(zip_derived_cl1750,plain,
! [X0: $i] :
( ( v6_conlat_1 @ X0 @ '#sk1' )
| ( v3_conlat_1 @ '#sk1' )
| ~ ( l2_conlat_1 @ '#sk1' )
| ~ ( r2_hidden @ X0 @ ( k7_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl1686]) ).
thf(zip_derived_cl110_087,plain,
~ ( v3_conlat_1 @ '#sk1' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl109_088,plain,
l2_conlat_1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl1751,plain,
! [X0: $i] :
( ( v6_conlat_1 @ X0 @ '#sk1' )
| ~ ( r2_hidden @ X0 @ ( k7_conlat_1 @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1750,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3253,plain,
! [X0: $i] : ( v6_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl2710,zip_derived_cl1751]) ).
thf(zip_derived_cl4405,plain,
! [X0: $i] :
( $true
& ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl3266,zip_derived_cl3253]) ).
thf(zip_derived_cl4406,plain,
! [X0: $i] : ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl4405]) ).
thf(zip_derived_cl635_089,plain,
l3_lattices @ ( k11_conlat_1 @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl633,zip_derived_cl110]) ).
thf(d22_lattice3,axiom,
! [A: $i] :
( ( ( l3_lattices @ A )
& ~ ( v3_struct_0 @ A ) )
=> ! [B: $i] :
( ( k16_lattice3 @ A @ B )
= ( k15_lattice3 @ A @ ( a_2_1_lattice3 @ A @ B ) ) ) ) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( ( ( l3_lattices @ Y0 )
& ( (~) @ ( v3_struct_0 @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( k16_lattice3 @ Y0 @ Y1 )
= ( k15_lattice3 @ Y0 @ ( a_2_1_lattice3 @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[d22_lattice3]) ).
thf(zip_derived_cl450,plain,
! [X2: $i] :
( ( ( l3_lattices @ X2 )
& ( (~) @ ( v3_struct_0 @ X2 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( k16_lattice3 @ X2 @ Y0 )
= ( k15_lattice3 @ X2 @ ( a_2_1_lattice3 @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl451,plain,
! [X2: $i] :
( ~ ( ( l3_lattices @ X2 )
& ( (~) @ ( v3_struct_0 @ X2 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( k16_lattice3 @ X2 @ Y0 )
= ( k15_lattice3 @ X2 @ ( a_2_1_lattice3 @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl450]) ).
thf(zip_derived_cl452,plain,
! [X2: $i] :
( ~ ( l3_lattices @ X2 )
| ( v3_struct_0 @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( k16_lattice3 @ X2 @ Y0 )
= ( k15_lattice3 @ X2 @ ( a_2_1_lattice3 @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl451]) ).
thf(zip_derived_cl453,plain,
! [X2: $i,X4: $i] :
( ( ( k16_lattice3 @ X2 @ X4 )
= ( k15_lattice3 @ X2 @ ( a_2_1_lattice3 @ X2 @ X4 ) ) )
| ( v3_struct_0 @ X2 )
| ~ ( l3_lattices @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl452]) ).
thf(zip_derived_cl454,plain,
! [X2: $i,X4: $i] :
( ( ( k16_lattice3 @ X2 @ X4 )
= ( k15_lattice3 @ X2 @ ( a_2_1_lattice3 @ X2 @ X4 ) ) )
| ( v3_struct_0 @ X2 )
| ~ ( l3_lattices @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl453]) ).
thf(zip_derived_cl648,plain,
! [X0: $i] :
( ( ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 )
= ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ ( a_2_1_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) ) )
| ( v3_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl454]) ).
thf(zip_derived_cl1189_090,plain,
~ ( v3_struct_0 @ ( k11_conlat_1 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl1186,zip_derived_cl497,zip_derived_cl692,zip_derived_cl688]) ).
thf(zip_derived_cl1191,plain,
! [X0: $i] :
( ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 )
= ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ ( a_2_1_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl648,zip_derived_cl1189]) ).
thf(zip_derived_cl3251_091,plain,
! [X0: $i] : ( l3_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl2710,zip_derived_cl1691]) ).
thf(zip_derived_cl3263,plain,
! [X0: $i] : ( l3_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup+',[status(thm)],[zip_derived_cl1191,zip_derived_cl3251]) ).
thf(zip_derived_cl1191_092,plain,
! [X0: $i] :
( ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 )
= ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ ( a_2_1_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl648,zip_derived_cl1189]) ).
thf(zip_derived_cl4406_093,plain,
! [X0: $i] : ( v9_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl4405]) ).
thf(zip_derived_cl4407,plain,
! [X0: $i] : ( v9_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup+',[status(thm)],[zip_derived_cl1191,zip_derived_cl4406]) ).
thf(zip_derived_cl27210,plain,
v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ '#sk2' ) @ '#sk1',
inference(demod,[status(thm)],[zip_derived_cl3255,zip_derived_cl3251,zip_derived_cl4406,zip_derived_cl3263,zip_derived_cl4407]) ).
thf(zip_derived_cl1191_094,plain,
! [X0: $i] :
( ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 )
= ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ ( a_2_1_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl648,zip_derived_cl1189]) ).
thf(zip_derived_cl3252_095,plain,
! [X0: $i] :
~ ( v7_conlat_1 @ ( k15_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl2710,zip_derived_cl1721]) ).
thf(zip_derived_cl3256,plain,
! [X0: $i] :
~ ( v7_conlat_1 @ ( k16_lattice3 @ ( k11_conlat_1 @ '#sk1' ) @ X0 ) @ '#sk1' ),
inference('s_sup-',[status(thm)],[zip_derived_cl1191,zip_derived_cl3252]) ).
thf(zip_derived_cl27212,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl27210,zip_derived_cl3256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT338+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.em7BjydR3R true
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 06:20:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.99/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 54.32/8.41 % Solved by fo/fo1_lcnf.sh.
% 54.32/8.41 % done 5736 iterations in 7.553s
% 54.32/8.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 54.32/8.41 % SZS output start Refutation
% See solution above
% 54.32/8.41
% 54.32/8.41
% 54.32/8.42 % Terminating...
% 54.85/8.49 % Runner terminated.
% 54.85/8.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------