TSTP Solution File: LAT309+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT309+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6DWEst00Jr true
% Computer : n013.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 06:46:48 EDT 2023
% Result : Theorem 81.00s 12.34s
% Output : Refutation 81.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 49
% Syntax : Number of formulae : 217 ( 71 unt; 32 typ; 0 def)
% Number of atoms : 632 ( 104 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 2044 ( 226 ~; 354 |; 62 &;1371 @)
% ( 2 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 32 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 0 ^; 80 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(v13_lattices_type,type,
v13_lattices: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(m1_filter_0_type,type,
m1_filter_0: $i > $i > $o ).
thf(k5_filter_2_type,type,
k5_filter_2: $i > $i > $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(k7_filter_2_type,type,
k7_filter_2: $i > $i > $i ).
thf(k8_filter_2_type,type,
k8_filter_2: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(v1_filter_0_type,type,
v1_filter_0: $i > $i > $o ).
thf(k5_lattices_type,type,
k5_lattices: $i > $i ).
thf(v14_lattices_type,type,
v14_lattices: $i > $o ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
thf(k15_filter_2_type,type,
k15_filter_2: $i > $i > $i ).
thf(sk__27_type,type,
sk__27: $i > $i > $i ).
thf(k14_filter_2_type,type,
k14_filter_2: $i > $i > $i ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(k6_lattices_type,type,
k6_lattices: $i > $i ).
thf(k1_lattice2_type,type,
k1_lattice2: $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(r2_filter_2_type,type,
r2_filter_2: $i > $i > $o ).
thf(m2_filter_2_type,type,
m2_filter_2: $i > $i > $o ).
thf(t36_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ~ ( ( v14_lattices @ A )
& ( B
!= ( k6_lattices @ A ) )
& ! [C: $i] :
( ( m2_filter_2 @ C @ A )
=> ~ ( ( r2_hidden @ B @ C )
& ( r2_filter_2 @ A @ C ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ~ ( ( v14_lattices @ A )
& ( B
!= ( k6_lattices @ A ) )
& ! [C: $i] :
( ( m2_filter_2 @ C @ A )
=> ~ ( ( r2_hidden @ B @ C )
& ( r2_filter_2 @ A @ C ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t36_filter_2]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fc6_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattices @ ( k1_lattice2 @ A ) )
& ( v5_lattices @ ( k1_lattice2 @ A ) )
& ( v6_lattices @ ( k1_lattice2 @ A ) )
& ( v7_lattices @ ( k1_lattice2 @ A ) )
& ( v8_lattices @ ( k1_lattice2 @ A ) )
& ( v9_lattices @ ( k1_lattice2 @ A ) )
& ( v10_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl117,plain,
! [X0: $i] :
( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc6_lattice2]) ).
thf(dt_k1_lattice2,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(t64_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( v14_lattices @ A )
<=> ( v13_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ~ ( v14_lattices @ X0 )
| ( v13_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t64_lattice2]) ).
thf(zip_derived_cl37_001,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(zip_derived_cl117_002,plain,
! [X0: $i] :
( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc6_lattice2]) ).
thf(zip_derived_cl6,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k5_filter_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k5_filter_2 @ A @ B ) @ ( u1_struct_0 @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
| ( m1_subset_1 @ ( k5_filter_2 @ X0 @ X1 ) @ ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[dt_k5_filter_2]) ).
thf(zip_derived_cl1225,plain,
( ( m1_subset_1 @ ( k5_filter_2 @ sk_ @ sk__1 ) @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl41]) ).
thf(zip_derived_cl6_003,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k5_filter_2 @ A @ B )
= B ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( ( k5_filter_2 @ X1 @ X0 )
= X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d4_filter_2]) ).
thf(zip_derived_cl778,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( ( k5_filter_2 @ sk_ @ sk__1 )
= sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl29]) ).
thf(zip_derived_cl1,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl782,plain,
( ( v3_struct_0 @ sk_ )
| ( ( k5_filter_2 @ sk_ @ sk__1 )
= sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl778,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl0_004,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl793,plain,
( ( k5_filter_2 @ sk_ @ sk__1 )
= sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl782,zip_derived_cl0]) ).
thf(zip_derived_cl0_005,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_006,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_007,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1233,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1225,zip_derived_cl793,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(t24_filter_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ~ ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v13_lattices @ A )
& ( l3_lattices @ A )
& ( B
!= ( k5_lattices @ A ) )
& ! [C: $i] :
( ( m1_filter_0 @ C @ A )
=> ~ ( ( r2_hidden @ B @ C )
& ( v1_filter_0 @ C @ A ) ) ) ) ) ) ).
thf(zip_derived_cl179,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( X0
= ( k5_lattices @ X1 ) )
| ( m1_filter_0 @ ( sk__27 @ X0 @ X1 ) @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( v10_lattices @ X1 )
| ~ ( v13_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t24_filter_0]) ).
thf(zip_derived_cl4183,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X1 )
| ~ ( v13_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ( m1_filter_0 @ ( sk__27 @ X0 @ X1 ) @ X1 )
| ( X0
= ( k5_lattices @ X1 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl4188,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( m1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1233,zip_derived_cl4183]) ).
thf(zip_derived_cl28468,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl4188]) ).
thf(zip_derived_cl0_008,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_009,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_010,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28474,plain,
( ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28468,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl28475,plain,
( ~ ( l3_lattices @ sk_ )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( m1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl28474]) ).
thf(zip_derived_cl2_011,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28481,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( m1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28475,zip_derived_cl2]) ).
thf(zip_derived_cl28482,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v14_lattices @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl28481]) ).
thf(zip_derived_cl0_012,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_013,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_014,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
v14_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28488,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28482,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).
thf(dt_m1_filter_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_0 @ B @ A )
=> ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_filter_0]) ).
thf(zip_derived_cl28489,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( m1_subset_1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28488,zip_derived_cl51]) ).
thf(zip_derived_cl28508,plain,
( ( m1_subset_1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl28489]) ).
thf(zip_derived_cl28950,plain,
( ~ ( l3_lattices @ sk_ )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( m1_subset_1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl28508]) ).
thf(zip_derived_cl2_015,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28956,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ( m1_subset_1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28950,zip_derived_cl2]) ).
thf(zip_derived_cl28957,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( m1_subset_1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl28956]) ).
thf(zip_derived_cl0_016,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_017,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_018,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28963,plain,
( ( m1_subset_1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28957,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(d7_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ A ) ) ) )
=> ( ( k8_filter_2 @ A @ B )
= B ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ X1 ) ) ) )
| ( ( k8_filter_2 @ X1 @ X0 )
= X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d7_filter_2]) ).
thf(zip_derived_cl29114,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( ( k8_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28963,zip_derived_cl31]) ).
thf(zip_derived_cl0_019,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_020,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_021,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29157,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( ( k8_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29114,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl28963_022,plain,
( ( m1_subset_1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28957,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(dt_k8_filter_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ A ) ) ) ) )
=> ( m1_subset_1 @ ( k8_filter_2 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) ) )
| ( m1_subset_1 @ ( k8_filter_2 @ X0 @ X1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[dt_k8_filter_2]) ).
thf(zip_derived_cl29117,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_subset_1 @ ( k8_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl28963,zip_derived_cl45]) ).
thf(zip_derived_cl0_023,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_024,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_025,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29160,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_subset_1 @ ( k8_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29117,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl29979,plain,
( ( m1_subset_1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl29157,zip_derived_cl29160]) ).
thf(zip_derived_cl29998,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_subset_1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29979]) ).
thf(d6_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( k7_filter_2 @ A @ B )
= B ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( ( k7_filter_2 @ X1 @ X0 )
= X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d6_filter_2]) ).
thf(zip_derived_cl30006,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( ( k7_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29998,zip_derived_cl30]) ).
thf(zip_derived_cl0_026,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_027,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_028,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30039,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( ( k7_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30006,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl29157_029,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( ( k8_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl29114,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl28488_030,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28482,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).
thf(redefinition_k14_filter_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_filter_0 @ B @ ( k1_lattice2 @ A ) ) )
=> ( ( k14_filter_2 @ A @ B )
= ( k8_filter_2 @ A @ B ) ) ) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ ( k1_lattice2 @ X0 ) )
| ( ( k14_filter_2 @ X0 @ X1 )
= ( k8_filter_2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[redefinition_k14_filter_2]) ).
thf(zip_derived_cl28493,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( ( k14_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( k8_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl28488,zip_derived_cl169]) ).
thf(zip_derived_cl0_031,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_032,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_033,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28512,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( ( k14_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( k8_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28493,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl40479,plain,
( ( ( k14_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl29157,zip_derived_cl28512]) ).
thf(zip_derived_cl40491,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( ( k14_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl40479]) ).
thf(zip_derived_cl28488_034,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28482,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).
thf(dt_k14_filter_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_filter_0 @ B @ ( k1_lattice2 @ A ) ) )
=> ( m2_filter_2 @ ( k14_filter_2 @ A @ B ) @ A ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_filter_0 @ X1 @ ( k1_lattice2 @ X0 ) )
| ( m2_filter_2 @ ( k14_filter_2 @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[dt_k14_filter_2]) ).
thf(zip_derived_cl28492,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m2_filter_2 @ ( k14_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl28488,zip_derived_cl34]) ).
thf(zip_derived_cl0_035,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_036,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_037,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28511,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m2_filter_2 @ ( k14_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl28492,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl40506,plain,
( ( m2_filter_2 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl40491,zip_derived_cl28511]) ).
thf(zip_derived_cl40526,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m2_filter_2 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl40506]) ).
thf(redefinition_k15_filter_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m2_filter_2 @ B @ A ) )
=> ( ( k15_filter_2 @ A @ B )
= ( k7_filter_2 @ A @ B ) ) ) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m2_filter_2 @ X1 @ X0 )
| ( ( k15_filter_2 @ X0 @ X1 )
= ( k7_filter_2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[redefinition_k15_filter_2]) ).
thf(zip_derived_cl40536,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( ( k15_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( k7_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl40526,zip_derived_cl170]) ).
thf(zip_derived_cl0_038,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_039,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_040,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40552,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( ( k15_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
= ( k7_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40536,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(t33_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ( r2_filter_2 @ A @ B )
<=> ( v1_filter_0 @ ( k15_filter_2 @ A @ B ) @ ( k1_lattice2 @ A ) ) ) ) ) ).
thf(zip_derived_cl182,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_filter_2 @ X0 @ X1 )
| ~ ( v1_filter_0 @ ( k15_filter_2 @ X1 @ X0 ) @ ( k1_lattice2 @ X1 ) )
| ( r2_filter_2 @ X1 @ X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t33_filter_2]) ).
thf(zip_derived_cl46995,plain,
( ~ ( v1_filter_0 @ ( k7_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( r2_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m2_filter_2 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl40552,zip_derived_cl182]) ).
thf(zip_derived_cl0_041,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_042,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_043,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47026,plain,
( ~ ( v1_filter_0 @ ( k7_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m2_filter_2 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl46995,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl40526_044,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m2_filter_2 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl40506]) ).
thf(zip_derived_cl78324,plain,
( ( r2_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( v1_filter_0 @ ( k7_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) @ ( k1_lattice2 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl47026,zip_derived_cl40526]) ).
thf(zip_derived_cl78336,plain,
( ~ ( v1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30039,zip_derived_cl78324]) ).
thf(zip_derived_cl78348,plain,
( ( r2_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( v1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl78336]) ).
thf(zip_derived_cl188_045,plain,
! [X0: $i] :
( ~ ( v14_lattices @ X0 )
| ( v13_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t64_lattice2]) ).
thf(zip_derived_cl37_046,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(zip_derived_cl117_047,plain,
! [X0: $i] :
( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc6_lattice2]) ).
thf(zip_derived_cl1233_048,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1225,zip_derived_cl793,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl177,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( X0
= ( k5_lattices @ X1 ) )
| ( v1_filter_0 @ ( sk__27 @ X0 @ X1 ) @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( v10_lattices @ X1 )
| ~ ( v13_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t24_filter_0]) ).
thf(zip_derived_cl4005,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X1 )
| ~ ( v13_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ( v1_filter_0 @ ( sk__27 @ X0 @ X1 ) @ X1 )
| ( X0
= ( k5_lattices @ X1 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl4010,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1233,zip_derived_cl4005]) ).
thf(zip_derived_cl28346,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl4010]) ).
thf(zip_derived_cl0_049,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_050,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_051,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28352,plain,
( ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28346,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl28440,plain,
( ~ ( l3_lattices @ sk_ )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl28352]) ).
thf(zip_derived_cl2_052,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28446,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28440,zip_derived_cl2]) ).
thf(zip_derived_cl28447,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v14_lattices @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl28446]) ).
thf(zip_derived_cl0_053,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_054,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_055,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_056,plain,
v14_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28453,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v1_filter_0 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl28447,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl78349,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_filter_2 @ sk_ @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl78348,zip_derived_cl28453]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( r2_filter_2 @ sk_ @ X0 )
| ~ ( r2_hidden @ sk__1 @ X0 )
| ~ ( m2_filter_2 @ X0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78350,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( m2_filter_2 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ sk_ )
| ~ ( r2_hidden @ sk__1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl78349,zip_derived_cl4]) ).
thf(zip_derived_cl40526_057,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m2_filter_2 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl40506]) ).
thf(zip_derived_cl78506,plain,
( ~ ( r2_hidden @ sk__1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl78350,zip_derived_cl40526]) ).
thf(zip_derived_cl188_058,plain,
! [X0: $i] :
( ~ ( v14_lattices @ X0 )
| ( v13_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t64_lattice2]) ).
thf(zip_derived_cl37_059,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(zip_derived_cl117_060,plain,
! [X0: $i] :
( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc6_lattice2]) ).
thf(zip_derived_cl1233_061,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1225,zip_derived_cl793,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl178,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( X0
= ( k5_lattices @ X1 ) )
| ( r2_hidden @ X0 @ ( sk__27 @ X0 @ X1 ) )
| ( v3_struct_0 @ X1 )
| ~ ( v10_lattices @ X1 )
| ~ ( v13_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t24_filter_0]) ).
thf(zip_derived_cl4079,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X1 )
| ~ ( v13_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ( r2_hidden @ X0 @ ( sk__27 @ X0 @ X1 ) )
| ( X0
= ( k5_lattices @ X1 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl4084,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( r2_hidden @ sk__1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1233,zip_derived_cl4079]) ).
thf(zip_derived_cl26817,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl4084]) ).
thf(zip_derived_cl0_062,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_063,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_064,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26823,plain,
( ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26817,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl26824,plain,
( ~ ( l3_lattices @ sk_ )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( r2_hidden @ sk__1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl26823]) ).
thf(zip_derived_cl2_065,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26830,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( r2_hidden @ sk__1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v13_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26824,zip_derived_cl2]) ).
thf(zip_derived_cl26831,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v14_lattices @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl26830]) ).
thf(zip_derived_cl0_066,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_067,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_068,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_069,plain,
v14_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26837,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__1 @ ( sk__27 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26831,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl78507,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl78506,zip_derived_cl26837]) ).
thf(fc1_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ~ ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_lattice2]) ).
thf(zip_derived_cl78508,plain,
( ( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl78507,zip_derived_cl80]) ).
thf(zip_derived_cl0_070,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_071,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78514,plain,
( sk__1
= ( k5_lattices @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl78508,zip_derived_cl0,zip_derived_cl2]) ).
thf(t79_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v14_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ( k6_lattices @ A )
= ( k5_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl190,plain,
! [X0: $i] :
( ( ( k6_lattices @ X0 )
= ( k5_lattices @ ( k1_lattice2 @ X0 ) ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v14_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[t79_lattice2]) ).
thf(zip_derived_cl78554,plain,
( ( ( k6_lattices @ sk_ )
= sk__1 )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( v14_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl78514,zip_derived_cl190]) ).
thf(zip_derived_cl1_072,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_073,plain,
v14_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_074,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78568,plain,
( ( ( k6_lattices @ sk_ )
= sk__1 )
| ( v3_struct_0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl78554,zip_derived_cl1,zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( sk__1
!= ( k6_lattices @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78569,plain,
v3_struct_0 @ sk_,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl78568,zip_derived_cl5]) ).
thf(zip_derived_cl78574,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl78569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT309+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6DWEst00Jr true
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 07:34:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 81.00/12.34 % Solved by fo/fo5.sh.
% 81.00/12.34 % done 7526 iterations in 11.541s
% 81.00/12.34 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 81.00/12.34 % SZS output start Refutation
% See solution above
% 81.00/12.34
% 81.00/12.34
% 81.00/12.34 % Terminating...
% 82.30/12.40 % Runner terminated.
% 82.30/12.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------