TSTP Solution File: LAT295+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT295+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.q7qr1MxgVj true
% Computer : n002.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 06:46:39 EDT 2023
% Result : Theorem 16.55s 2.98s
% Output : Refutation 16.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 33
% Syntax : Number of formulae : 240 ( 85 unt; 24 typ; 0 def)
% Number of atoms : 620 ( 214 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 2945 ( 344 ~; 341 |; 27 &;2197 @)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 39 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 7 con; 0-6 aty)
% Number of variables : 255 ( 0 ^; 255 !; 0 ?; 255 :)
% Comments :
%------------------------------------------------------------------------------
thf(u1_lattices_type,type,
u1_lattices: $i > $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(l2_lattices_type,type,
l2_lattices: $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(k2_binop_1_type,type,
k2_binop_1: $i > $i > $i > $i > $i > $i > $i ).
thf(l1_lattices_type,type,
l1_lattices: $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(r1_lattices_type,type,
r1_lattices: $i > $i > $i > $o ).
thf(k2_lattices_type,type,
k2_lattices: $i > $i > $i > $i ).
thf(k1_lattices_type,type,
k1_lattices: $i > $i > $i > $i ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(u2_lattices_type,type,
u2_lattices: $i > $i ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(g3_lattices_type,type,
g3_lattices: $i > $i > $i > $i ).
thf(t8_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l3_lattices @ B ) )
=> ( ( ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ B ) @ ( u2_lattices @ B ) @ ( u1_lattices @ B ) ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ! [E: $i] :
( ( m1_subset_1 @ E @ ( u1_struct_0 @ B ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( u1_struct_0 @ B ) )
=> ( ( ( C = E )
& ( D = F ) )
=> ( ( ( k1_lattices @ A @ C @ D )
= ( k1_lattices @ B @ E @ F ) )
& ( ( k2_lattices @ A @ C @ D )
= ( k2_lattices @ B @ E @ F ) )
& ( ( r1_lattices @ A @ C @ D )
=> ( r1_lattices @ B @ E @ F ) )
& ( ( r1_lattices @ B @ E @ F )
=> ( r1_lattices @ A @ C @ D ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l3_lattices @ B ) )
=> ( ( ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) )
= ( g3_lattices @ ( u1_struct_0 @ B ) @ ( u2_lattices @ B ) @ ( u1_lattices @ B ) ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ! [E: $i] :
( ( m1_subset_1 @ E @ ( u1_struct_0 @ B ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( u1_struct_0 @ B ) )
=> ( ( ( C = E )
& ( D = F ) )
=> ( ( ( k1_lattices @ A @ C @ D )
= ( k1_lattices @ B @ E @ F ) )
& ( ( k2_lattices @ A @ C @ D )
= ( k2_lattices @ B @ E @ F ) )
& ( ( r1_lattices @ A @ C @ D )
=> ( r1_lattices @ B @ E @ F ) )
& ( ( r1_lattices @ B @ E @ F )
=> ( r1_lattices @ A @ C @ D ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t8_filter_2]) ).
thf(zip_derived_cl76,plain,
( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__18 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__19 ) @ ( u2_lattices @ sk__19 ) @ ( u1_lattices @ sk__19 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_l3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(dt_u1_lattices,axiom,
! [A: $i] :
( ( l1_lattices @ A )
=> ( ( v1_funct_1 @ ( u1_lattices @ A ) )
& ( v1_funct_2 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u1_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ( m2_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_lattices]) ).
thf(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_cl66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl513,plain,
! [X0: $i] :
( ~ ( l1_lattices @ X0 )
| ( m1_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl66]) ).
thf(zip_derived_cl533,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m1_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl513]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(dt_u2_lattices,axiom,
! [A: $i] :
( ( l2_lattices @ A )
=> ( ( v1_funct_1 @ ( u2_lattices @ A ) )
& ( v1_funct_2 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) )
& ( m2_relset_1 @ ( u2_lattices @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ( m2_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l2_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u2_lattices]) ).
thf(zip_derived_cl66_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl514,plain,
! [X0: $i] :
( ~ ( l2_lattices @ X0 )
| ( m1_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl66]) ).
thf(zip_derived_cl551,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m1_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl514]) ).
thf(free_g3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g3_lattices @ A @ B @ C )
= ( g3_lattices @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( m1_relset_1 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( m1_relset_1 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ( X1 = X3 )
| ( ( g3_lattices @ X1 @ X0 @ X2 )
!= ( g3_lattices @ X3 @ X4 @ X5 ) ) ),
inference(cnf,[status(esa)],[free_g3_lattices]) ).
thf(zip_derived_cl1301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( l3_lattices @ X0 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 )
!= ( g3_lattices @ X4 @ X3 @ X2 ) )
| ( ( u1_struct_0 @ X0 )
= X4 )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl39]) ).
thf(zip_derived_cl19_002,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ( v1_funct_1 @ ( u2_lattices @ X0 ) )
| ~ ( l2_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u2_lattices]) ).
thf(zip_derived_cl549,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u2_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl24]) ).
thf(zip_derived_cl3012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ( ( u1_struct_0 @ X0 )
= X4 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 )
!= ( g3_lattices @ X4 @ X3 @ X2 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1301,zip_derived_cl549]) ).
thf(zip_derived_cl19_003,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l2_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u2_lattices]) ).
thf(zip_derived_cl550,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl25]) ).
thf(zip_derived_cl3013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( l3_lattices @ X0 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 )
!= ( g3_lattices @ X4 @ X3 @ X2 ) )
| ( ( u1_struct_0 @ X0 )
= X4 )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl3012,zip_derived_cl550]) ).
thf(zip_derived_cl3016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ( ( u1_struct_0 @ X0 )
= X1 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) )
!= ( g3_lattices @ X1 @ X3 @ X2 ) )
| ~ ( l3_lattices @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl533,zip_derived_cl3013]) ).
thf(zip_derived_cl3027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) )
!= ( g3_lattices @ X1 @ X3 @ X2 ) )
| ( ( u1_struct_0 @ X0 )
= X1 )
| ~ ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3016]) ).
thf(zip_derived_cl18_004,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_lattices]) ).
thf(zip_derived_cl532,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl22]) ).
thf(zip_derived_cl4531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ( ( u1_struct_0 @ X0 )
= X1 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) )
!= ( g3_lattices @ X1 @ X3 @ X2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3027,zip_derived_cl532]) ).
thf(zip_derived_cl18_005,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ~ ( l1_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_lattices]) ).
thf(zip_derived_cl531,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u1_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl21]) ).
thf(zip_derived_cl4532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) )
!= ( g3_lattices @ X1 @ X3 @ X2 ) )
| ( ( u1_struct_0 @ X0 )
= X1 )
| ~ ( l3_lattices @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl4531,zip_derived_cl531]) ).
thf(zip_derived_cl4535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__18 ) )
!= ( g3_lattices @ X2 @ X1 @ X0 ) )
| ~ ( l3_lattices @ sk__19 )
| ( ( u1_struct_0 @ sk__19 )
= X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl4532]) ).
thf(zip_derived_cl87,plain,
l3_lattices @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__18 ) )
!= ( g3_lattices @ X2 @ X1 @ X0 ) )
| ( ( u1_struct_0 @ sk__19 )
= X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4535,zip_derived_cl87]) ).
thf(zip_derived_cl4560,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl19_006,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(d1_lattices,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l2_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k1_lattices @ A @ B @ C )
= ( k2_binop_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ B @ C ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( ( k1_lattices @ X1 @ X0 @ X2 )
= ( k2_binop_1 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( u2_lattices @ X1 ) @ X0 @ X2 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l2_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d1_lattices]) ).
thf(zip_derived_cl545,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( ( k1_lattices @ X0 @ X1 @ X2 )
= ( k2_binop_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 @ X2 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl7]) ).
thf(zip_derived_cl4582,plain,
! [X0: $i,X1: $i] :
( ( ( k1_lattices @ sk__19 @ X1 @ X0 )
= ( k2_binop_1 @ ( u1_struct_0 @ sk__19 ) @ ( u1_struct_0 @ sk__19 ) @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__19 ) @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__19 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 )
| ~ ( l3_lattices @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4560,zip_derived_cl545]) ).
thf(zip_derived_cl4560_007,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl4560_008,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl4560_009,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl4560_010,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl88,plain,
~ ( v3_struct_0 @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87_011,plain,
l3_lattices @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4712,plain,
! [X0: $i,X1: $i] :
( ( ( k1_lattices @ sk__19 @ X1 @ X0 )
= ( k2_binop_1 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__19 ) @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4582,zip_derived_cl4560,zip_derived_cl4560,zip_derived_cl4560,zip_derived_cl4560,zip_derived_cl88,zip_derived_cl87]) ).
thf(zip_derived_cl4560_012,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl533_013,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m1_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl513]) ).
thf(zip_derived_cl551_014,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m1_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl514]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( m1_relset_1 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( m1_relset_1 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ( X0 = X3 )
| ( ( g3_lattices @ X1 @ X0 @ X2 )
!= ( g3_lattices @ X4 @ X3 @ X5 ) ) ),
inference(cnf,[status(esa)],[free_g3_lattices]) ).
thf(zip_derived_cl1302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( l3_lattices @ X0 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 )
!= ( g3_lattices @ X4 @ X3 @ X2 ) )
| ( ( u2_lattices @ X0 )
= X3 )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl40]) ).
thf(zip_derived_cl549_015,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u2_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl24]) ).
thf(zip_derived_cl3040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ( ( u2_lattices @ X0 )
= X3 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 )
!= ( g3_lattices @ X4 @ X3 @ X2 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1302,zip_derived_cl549]) ).
thf(zip_derived_cl550_016,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl25]) ).
thf(zip_derived_cl3041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( l3_lattices @ X0 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 )
!= ( g3_lattices @ X4 @ X3 @ X2 ) )
| ( ( u2_lattices @ X0 )
= X3 )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl3040,zip_derived_cl550]) ).
thf(zip_derived_cl3044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ( ( u2_lattices @ X0 )
= X1 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) )
!= ( g3_lattices @ X3 @ X1 @ X2 ) )
| ~ ( l3_lattices @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl533,zip_derived_cl3041]) ).
thf(zip_derived_cl3055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) )
!= ( g3_lattices @ X3 @ X1 @ X2 ) )
| ( ( u2_lattices @ X0 )
= X1 )
| ~ ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3044]) ).
thf(zip_derived_cl532_017,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl22]) ).
thf(zip_derived_cl5470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v1_funct_1 @ ( u1_lattices @ X0 ) )
| ( ( u2_lattices @ X0 )
= X1 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) )
!= ( g3_lattices @ X3 @ X1 @ X2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3055,zip_derived_cl532]) ).
thf(zip_derived_cl531_018,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u1_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl21]) ).
thf(zip_derived_cl5471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) )
!= ( g3_lattices @ X3 @ X1 @ X2 ) )
| ( ( u2_lattices @ X0 )
= X1 )
| ~ ( l3_lattices @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5470,zip_derived_cl531]) ).
thf(zip_derived_cl5474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__19 ) @ ( u1_lattices @ sk__19 ) )
!= ( g3_lattices @ X2 @ X1 @ X0 ) )
| ~ ( l3_lattices @ sk__19 )
| ( ( u2_lattices @ sk__19 )
= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4560,zip_derived_cl5471]) ).
thf(zip_derived_cl76_019,plain,
( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__18 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__19 ) @ ( u2_lattices @ sk__19 ) @ ( u1_lattices @ sk__19 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4560_020,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl4562,plain,
( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__18 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__19 ) @ ( u1_lattices @ sk__19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl4560]) ).
thf(zip_derived_cl87_021,plain,
l3_lattices @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__18 ) )
!= ( g3_lattices @ X2 @ X1 @ X0 ) )
| ( ( u2_lattices @ sk__19 )
= X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5474,zip_derived_cl4562,zip_derived_cl87]) ).
thf(zip_derived_cl5496,plain,
( ( u2_lattices @ sk__19 )
= ( u2_lattices @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5481]) ).
thf(zip_derived_cl9941,plain,
! [X0: $i,X1: $i] :
( ( ( k1_lattices @ sk__19 @ X1 @ X0 )
= ( k2_binop_1 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4712,zip_derived_cl5496]) ).
thf(zip_derived_cl545_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( ( k1_lattices @ X0 @ X1 @ X2 )
= ( k2_binop_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 @ X2 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl7]) ).
thf(zip_derived_cl9945,plain,
! [X0: $i,X1: $i] :
( ( ( k1_lattices @ sk__18 @ X1 @ X0 )
= ( k1_lattices @ sk__19 @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( v3_struct_0 @ sk__18 )
| ~ ( l3_lattices @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl9941,zip_derived_cl545]) ).
thf(zip_derived_cl74,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75,plain,
l3_lattices @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9952,plain,
! [X0: $i,X1: $i] :
( ( ( k1_lattices @ sk__18 @ X1 @ X0 )
= ( k1_lattices @ sk__19 @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9945,zip_derived_cl74,zip_derived_cl75]) ).
thf(zip_derived_cl9953,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k1_lattices @ sk__18 @ X1 @ X0 )
= ( k1_lattices @ sk__19 @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9952]) ).
thf(zip_derived_cl4560_023,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl18_024,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(d2_lattices,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k2_lattices @ A @ B @ C )
= ( k2_binop_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_lattices @ A ) @ B @ C ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( ( k2_lattices @ X1 @ X0 @ X2 )
= ( k2_binop_1 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( u1_lattices @ X1 ) @ X0 @ X2 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d2_lattices]) ).
thf(zip_derived_cl529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( ( k2_lattices @ X0 @ X1 @ X2 )
= ( k2_binop_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ X1 @ X2 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl8]) ).
thf(zip_derived_cl4570,plain,
! [X0: $i,X1: $i] :
( ( ( k2_lattices @ sk__19 @ X1 @ X0 )
= ( k2_binop_1 @ ( u1_struct_0 @ sk__19 ) @ ( u1_struct_0 @ sk__19 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_lattices @ sk__19 ) @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__19 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 )
| ~ ( l3_lattices @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4560,zip_derived_cl529]) ).
thf(zip_derived_cl4560_025,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl4560_026,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl4560_027,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl4560_028,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl88_029,plain,
~ ( v3_struct_0 @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87_030,plain,
l3_lattices @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4700,plain,
! [X0: $i,X1: $i] :
( ( ( k2_lattices @ sk__19 @ X1 @ X0 )
= ( k2_binop_1 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_lattices @ sk__19 ) @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4570,zip_derived_cl4560,zip_derived_cl4560,zip_derived_cl4560,zip_derived_cl4560,zip_derived_cl88,zip_derived_cl87]) ).
thf(zip_derived_cl531_031,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u1_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl21]) ).
thf(zip_derived_cl4560_032,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl533_033,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m1_relset_1 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl513]) ).
thf(zip_derived_cl4577,plain,
( ( m1_relset_1 @ ( u1_lattices @ sk__19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__19 ) @ ( u1_struct_0 @ sk__19 ) ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( l3_lattices @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4560,zip_derived_cl533]) ).
thf(zip_derived_cl4560_034,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl4560_035,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl87_036,plain,
l3_lattices @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4707,plain,
m1_relset_1 @ ( u1_lattices @ sk__19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl4577,zip_derived_cl4560,zip_derived_cl4560,zip_derived_cl87]) ).
thf(zip_derived_cl551_037,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( m1_relset_1 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl514]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( m1_relset_1 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( m1_relset_1 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ( X2 = X3 )
| ( ( g3_lattices @ X1 @ X0 @ X2 )
!= ( g3_lattices @ X4 @ X5 @ X3 ) ) ),
inference(cnf,[status(esa)],[free_g3_lattices]) ).
thf(zip_derived_cl1303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( l3_lattices @ X0 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 )
!= ( g3_lattices @ X4 @ X3 @ X2 ) )
| ( X1 = X2 )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_1 @ ( u2_lattices @ X0 ) )
| ~ ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl41]) ).
thf(zip_derived_cl549_038,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_1 @ ( u2_lattices @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl24]) ).
thf(zip_derived_cl3069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ( X1 = X2 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 )
!= ( g3_lattices @ X4 @ X3 @ X2 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1303,zip_derived_cl549]) ).
thf(zip_derived_cl550_039,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u2_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl25]) ).
thf(zip_derived_cl3070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( l3_lattices @ X0 )
| ( ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ X1 )
!= ( g3_lattices @ X4 @ X3 @ X2 ) )
| ( X1 = X2 )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl3069,zip_derived_cl550]) ).
thf(zip_derived_cl5071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_funct_1 @ ( u1_lattices @ sk__19 ) )
| ~ ( v1_funct_2 @ ( u1_lattices @ sk__19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ) )
| ( ( u1_lattices @ sk__19 )
= X0 )
| ( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__19 ) )
!= ( g3_lattices @ X2 @ X1 @ X0 ) )
| ~ ( l3_lattices @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4707,zip_derived_cl3070]) ).
thf(zip_derived_cl4560_040,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl532_041,plain,
! [X0: $i] :
( ~ ( l3_lattices @ X0 )
| ( v1_funct_2 @ ( u1_lattices @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl22]) ).
thf(zip_derived_cl4574,plain,
( ( v1_funct_2 @ ( u1_lattices @ sk__19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__19 ) @ ( u1_struct_0 @ sk__19 ) ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( l3_lattices @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4560,zip_derived_cl532]) ).
thf(zip_derived_cl4560_042,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl4560_043,plain,
( ( u1_struct_0 @ sk__19 )
= ( u1_struct_0 @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4542]) ).
thf(zip_derived_cl87_044,plain,
l3_lattices @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4704,plain,
v1_funct_2 @ ( u1_lattices @ sk__19 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) ) @ ( u1_struct_0 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl4574,zip_derived_cl4560,zip_derived_cl4560,zip_derived_cl87]) ).
thf(zip_derived_cl75_045,plain,
l3_lattices @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_funct_1 @ ( u1_lattices @ sk__19 ) )
| ( ( u1_lattices @ sk__19 )
= X0 )
| ( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__19 ) )
!= ( g3_lattices @ X2 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5071,zip_derived_cl4704,zip_derived_cl75]) ).
thf(zip_derived_cl4562_046,plain,
( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__18 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__19 ) @ ( u1_lattices @ sk__19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl4560]) ).
thf(zip_derived_cl5496_047,plain,
( ( u2_lattices @ sk__19 )
= ( u2_lattices @ sk__18 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5481]) ).
thf(zip_derived_cl5498,plain,
( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__18 ) )
= ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__19 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4562,zip_derived_cl5496]) ).
thf(zip_derived_cl5658,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_funct_1 @ ( u1_lattices @ sk__19 ) )
| ( ( u1_lattices @ sk__19 )
= X0 )
| ( ( g3_lattices @ ( u1_struct_0 @ sk__18 ) @ ( u2_lattices @ sk__18 ) @ ( u1_lattices @ sk__18 ) )
!= ( g3_lattices @ X2 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5146,zip_derived_cl5498]) ).
thf(zip_derived_cl5882,plain,
( ( ( u1_lattices @ sk__19 )
= ( u1_lattices @ sk__18 ) )
| ~ ( v1_funct_1 @ ( u1_lattices @ sk__19 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5658]) ).
thf(zip_derived_cl5889,plain,
( ~ ( l3_lattices @ sk__19 )
| ( ( u1_lattices @ sk__19 )
= ( u1_lattices @ sk__18 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl5882]) ).
thf(zip_derived_cl87_048,plain,
l3_lattices @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5890,plain,
( ( u1_lattices @ sk__19 )
= ( u1_lattices @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl5889,zip_derived_cl87]) ).
thf(zip_derived_cl7744,plain,
! [X0: $i,X1: $i] :
( ( ( k2_lattices @ sk__19 @ X1 @ X0 )
= ( k2_binop_1 @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_struct_0 @ sk__18 ) @ ( u1_lattices @ sk__18 ) @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4700,zip_derived_cl5890]) ).
thf(zip_derived_cl529_049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( ( k2_lattices @ X0 @ X1 @ X2 )
= ( k2_binop_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_lattices @ X0 ) @ X1 @ X2 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl8]) ).
thf(zip_derived_cl7748,plain,
! [X0: $i,X1: $i] :
( ( ( k2_lattices @ sk__18 @ X1 @ X0 )
= ( k2_lattices @ sk__19 @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( v3_struct_0 @ sk__18 )
| ~ ( l3_lattices @ sk__18 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7744,zip_derived_cl529]) ).
thf(zip_derived_cl74_050,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_051,plain,
l3_lattices @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7755,plain,
! [X0: $i,X1: $i] :
( ( ( k2_lattices @ sk__18 @ X1 @ X0 )
= ( k2_lattices @ sk__19 @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7748,zip_derived_cl74,zip_derived_cl75]) ).
thf(zip_derived_cl7756,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k2_lattices @ sk__18 @ X1 @ X0 )
= ( k2_lattices @ sk__19 @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7755]) ).
thf(zip_derived_cl19_052,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(d3_lattices,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l2_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r1_lattices @ A @ B @ C )
<=> ( ( k1_lattices @ A @ B @ C )
= C ) ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( r1_lattices @ X1 @ X0 @ X2 )
| ( ( k1_lattices @ X1 @ X0 @ X2 )
= X2 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l2_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d3_lattices]) ).
thf(zip_derived_cl546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( ( k1_lattices @ X0 @ X1 @ X2 )
= X2 )
| ~ ( r1_lattices @ X0 @ X1 @ X2 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl9]) ).
thf(zip_derived_cl546_053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( ( k1_lattices @ X0 @ X1 @ X2 )
= X2 )
| ~ ( r1_lattices @ X0 @ X1 @ X2 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl9]) ).
thf(zip_derived_cl84,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__22 @ sk__23 ) )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__22 @ sk__23 ) )
| ( r1_lattices @ sk__18 @ sk__20 @ sk__21 )
| ( r1_lattices @ sk__19 @ sk__22 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79_054,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_055,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79_056,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_057,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1274,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( r1_lattices @ sk__18 @ sk__20 @ sk__21 )
| ( r1_lattices @ sk__19 @ sk__20 @ sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl79,zip_derived_cl80,zip_derived_cl79,zip_derived_cl80,zip_derived_cl79,zip_derived_cl80]) ).
thf(zip_derived_cl1277,plain,
( ~ ( m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__19 ) )
| ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
= sk__21 )
| ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 )
| ~ ( l3_lattices @ sk__19 )
| ( r1_lattices @ sk__18 @ sk__20 @ sk__21 )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl546,zip_derived_cl1274]) ).
thf(zip_derived_cl78,plain,
m1_subset_1 @ sk__22 @ ( u1_struct_0 @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79_058,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1093,plain,
m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl79]) ).
thf(zip_derived_cl85,plain,
m1_subset_1 @ sk__23 @ ( u1_struct_0 @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_059,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1094,plain,
m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl80]) ).
thf(zip_derived_cl88_060,plain,
~ ( v3_struct_0 @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87_061,plain,
l3_lattices @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1279,plain,
( ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
= sk__21 )
| ( r1_lattices @ sk__18 @ sk__20 @ sk__21 )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1277,zip_derived_cl1093,zip_derived_cl1094,zip_derived_cl88,zip_derived_cl87]) ).
thf(zip_derived_cl1280,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 )
| ( r1_lattices @ sk__18 @ sk__20 @ sk__21 )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1279]) ).
thf(zip_derived_cl1336,plain,
( ~ ( m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 )
| ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ) )
| ( v3_struct_0 @ sk__18 )
| ~ ( l3_lattices @ sk__18 )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl546,zip_derived_cl1280]) ).
thf(zip_derived_cl77,plain,
m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_062,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_063,plain,
l3_lattices @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1338,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1336,zip_derived_cl77,zip_derived_cl86,zip_derived_cl74,zip_derived_cl75]) ).
thf(zip_derived_cl1339,plain,
( ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1338]) ).
thf(zip_derived_cl7764,plain,
( ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__18 @ sk__20 @ sk__21 ) )
| ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7756,zip_derived_cl1339]) ).
thf(zip_derived_cl86_064,plain,
m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_065,plain,
m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7773,plain,
( ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__18 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7764,zip_derived_cl86,zip_derived_cl77]) ).
thf(zip_derived_cl7774,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7773]) ).
thf(zip_derived_cl9968,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__18 @ sk__20 @ sk__21 ) )
| ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9953,zip_derived_cl7774]) ).
thf(zip_derived_cl86_066,plain,
m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_067,plain,
m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9977,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__18 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl9968,zip_derived_cl86,zip_derived_cl77]) ).
thf(zip_derived_cl9978,plain,
( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
= sk__21 ),
inference(simplify,[status(thm)],[zip_derived_cl9977]) ).
thf(zip_derived_cl9953_068,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k1_lattices @ sk__18 @ X1 @ X0 )
= ( k1_lattices @ sk__19 @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9952]) ).
thf(zip_derived_cl7756_069,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k2_lattices @ sk__18 @ X1 @ X0 )
= ( k2_lattices @ sk__19 @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7755]) ).
thf(zip_derived_cl19_070,plain,
! [X0: $i] :
( ( l2_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( ( k1_lattices @ X1 @ X0 @ X2 )
!= X2 )
| ( r1_lattices @ X1 @ X0 @ X2 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l2_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d3_lattices]) ).
thf(zip_derived_cl547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( r1_lattices @ X0 @ X1 @ X2 )
| ( ( k1_lattices @ X0 @ X1 @ X2 )
!= X2 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl10]) ).
thf(zip_derived_cl81,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__22 @ sk__23 ) )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__22 @ sk__23 ) )
| ~ ( r1_lattices @ sk__19 @ sk__22 @ sk__23 )
| ~ ( r1_lattices @ sk__18 @ sk__20 @ sk__21 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79_071,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_072,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79_073,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_074,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79_075,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_076,plain,
sk__21 = sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1167,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ~ ( r1_lattices @ sk__19 @ sk__20 @ sk__21 )
| ~ ( r1_lattices @ sk__18 @ sk__20 @ sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl79,zip_derived_cl80,zip_derived_cl79,zip_derived_cl80,zip_derived_cl79,zip_derived_cl80]) ).
thf(zip_derived_cl547_077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( r1_lattices @ X0 @ X1 @ X2 )
| ( ( k1_lattices @ X0 @ X1 @ X2 )
!= X2 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl10]) ).
thf(zip_derived_cl1173,plain,
( ~ ( r1_lattices @ sk__18 @ sk__20 @ sk__21 )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ~ ( m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__19 ) )
| ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
!= sk__21 )
| ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__19 ) )
| ( v3_struct_0 @ sk__19 )
| ~ ( l3_lattices @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1167,zip_derived_cl547]) ).
thf(zip_derived_cl1093_078,plain,
m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl79]) ).
thf(zip_derived_cl1094_079,plain,
m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl80]) ).
thf(zip_derived_cl88_080,plain,
~ ( v3_struct_0 @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87_081,plain,
l3_lattices @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1178,plain,
( ~ ( r1_lattices @ sk__18 @ sk__20 @ sk__21 )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
!= sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1173,zip_derived_cl1093,zip_derived_cl1094,zip_derived_cl88,zip_derived_cl87]) ).
thf(zip_derived_cl1194,plain,
( ~ ( m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 )
| ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ) )
| ( v3_struct_0 @ sk__18 )
| ~ ( l3_lattices @ sk__18 )
| ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
!= sk__21 )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl547,zip_derived_cl1178]) ).
thf(zip_derived_cl77_082,plain,
m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86_083,plain,
m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_084,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_085,plain,
l3_lattices @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1195,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 )
| ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
!= sk__21 )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1194,zip_derived_cl77,zip_derived_cl86,zip_derived_cl74,zip_derived_cl75]) ).
thf(zip_derived_cl1196,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 )
| ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
!= sk__21 )
| ( sk__21
!= ( k1_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1195]) ).
thf(zip_derived_cl1197,plain,
( ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__19 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
!= sk__21 )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1196]) ).
thf(zip_derived_cl7763,plain,
( ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__18 @ sk__20 @ sk__21 ) )
| ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 )
| ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
!= sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7756,zip_derived_cl1197]) ).
thf(zip_derived_cl86_086,plain,
m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_087,plain,
m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7771,plain,
( ( ( k2_lattices @ sk__18 @ sk__20 @ sk__21 )
!= ( k2_lattices @ sk__18 @ sk__20 @ sk__21 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 )
| ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
!= sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl7763,zip_derived_cl86,zip_derived_cl77]) ).
thf(zip_derived_cl7772,plain,
( ( ( k1_lattices @ sk__19 @ sk__20 @ sk__21 )
!= sk__21 )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7771]) ).
thf(zip_derived_cl9967,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 )
| ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ) )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9953,zip_derived_cl7772]) ).
thf(zip_derived_cl86_088,plain,
m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_089,plain,
m1_subset_1 @ sk__20 @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9975,plain,
( ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 )
| ( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl9967,zip_derived_cl86,zip_derived_cl77]) ).
thf(zip_derived_cl9976,plain,
( ( k1_lattices @ sk__18 @ sk__20 @ sk__21 )
!= sk__21 ),
inference(simplify,[status(thm)],[zip_derived_cl9975]) ).
thf(zip_derived_cl9979,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9978,zip_derived_cl9976]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT295+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q7qr1MxgVj true
% 0.14/0.35 % Computer : n002.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 08:17:01 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
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.95/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.95/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.95/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.95/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.95/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.95/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 16.55/2.98 % Solved by fo/fo3_bce.sh.
% 16.55/2.98 % BCE start: 89
% 16.55/2.98 % BCE eliminated: 2
% 16.55/2.98 % PE start: 87
% 16.55/2.98 logic: eq
% 16.55/2.98 % PE eliminated: -16
% 16.55/2.98 % done 2154 iterations in 2.170s
% 16.55/2.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.55/2.98 % SZS output start Refutation
% See solution above
% 16.55/2.98
% 16.55/2.98
% 16.55/2.98 % Terminating...
% 16.55/3.07 % Runner terminated.
% 16.55/3.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------