TSTP Solution File: LAT305+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT305+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.S9Zukv5JA6 true
% Computer : n020.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 06:46:45 EDT 2023
% Result : Theorem 188.78s 27.82s
% Output : Refutation 188.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 34
% Syntax : Number of formulae : 164 ( 82 unt; 23 typ; 0 def)
% Number of atoms : 362 ( 35 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1278 ( 157 ~; 150 |; 49 &; 900 @)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 4 con; 0-3 aty)
% Number of variables : 93 ( 0 ^; 92 !; 1 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(k18_filter_2_type,type,
k18_filter_2: $i > $i > $i ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(a_2_0_filter_2_type,type,
a_2_0_filter_2: $i > $i > $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(r1_lattices_type,type,
r1_lattices: $i > $i > $i > $o ).
thf(l1_lattices_type,type,
l1_lattices: $i > $o ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(k2_lattices_type,type,
k2_lattices: $i > $i > $i > $i ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(k4_lattices_type,type,
k4_lattices: $i > $i > $i > $i ).
thf(l2_lattices_type,type,
l2_lattices: $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(r3_lattices_type,type,
r3_lattices: $i > $i > $i > $o ).
thf(t31_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 ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r2_hidden @ B @ ( k18_filter_2 @ A @ B ) )
& ( r2_hidden @ ( k4_lattices @ A @ B @ C ) @ ( k18_filter_2 @ A @ B ) )
& ( r2_hidden @ ( k4_lattices @ A @ C @ B ) @ ( k18_filter_2 @ A @ B ) ) ) ) ) ) ).
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 ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r2_hidden @ B @ ( k18_filter_2 @ A @ B ) )
& ( r2_hidden @ ( k4_lattices @ A @ B @ C ) @ ( k18_filter_2 @ A @ B ) )
& ( r2_hidden @ ( k4_lattices @ A @ C @ B ) @ ( k18_filter_2 @ A @ B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t31_filter_2]) ).
thf(zip_derived_cl4,plain,
( ~ ( r2_hidden @ sk__1 @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ~ ( r2_hidden @ ( k4_lattices @ sk_ @ sk__1 @ sk__2 ) @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ~ ( r2_hidden @ ( k4_lattices @ sk_ @ sk__2 @ sk__1 ) @ ( k18_filter_2 @ sk_ @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k4_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v6_lattices @ A )
& ( l1_lattices @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( ( k4_lattices @ A @ B @ C )
= ( k4_lattices @ A @ C @ B ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_lattices @ X1 )
| ~ ( v6_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( ( k4_lattices @ X1 @ X0 @ X2 )
= ( k4_lattices @ X1 @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[commutativity_k4_lattices]) ).
thf(zip_derived_cl537,plain,
! [X0: $i] :
( ( ( k4_lattices @ sk_ @ sk__1 @ X0 )
= ( k4_lattices @ sk_ @ X0 @ sk__1 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v6_lattices @ sk_ )
| ~ ( l1_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl23]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(cc1_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v6_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc1_lattices]) ).
thf(zip_derived_cl0_001,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl185,plain,
( ~ ( l3_lattices @ sk_ )
| ( v6_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
v6_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl2,zip_derived_cl1]) ).
thf(dt_l3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( l1_lattices @ A )
& ( l2_lattices @ A ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( l1_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_lattices]) ).
thf(zip_derived_cl2_002,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132,plain,
l1_lattices @ sk_,
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2]) ).
thf(zip_derived_cl543,plain,
! [X0: $i] :
( ( ( k4_lattices @ sk_ @ sk__1 @ X0 )
= ( k4_lattices @ sk_ @ X0 @ sk__1 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl0,zip_derived_cl187,zip_derived_cl132]) ).
thf(zip_derived_cl624,plain,
( ( k4_lattices @ sk_ @ sk__1 @ sk__2 )
= ( k4_lattices @ sk_ @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl543]) ).
thf(zip_derived_cl630,plain,
( ~ ( r2_hidden @ sk__1 @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ~ ( r2_hidden @ ( k4_lattices @ sk_ @ sk__2 @ sk__1 ) @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ~ ( r2_hidden @ ( k4_lattices @ sk_ @ sk__2 @ sk__1 ) @ ( k18_filter_2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl624]) ).
thf(zip_derived_cl631,plain,
( ~ ( r2_hidden @ ( k4_lattices @ sk_ @ sk__2 @ sk__1 ) @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ~ ( r2_hidden @ sk__1 @ ( k18_filter_2 @ sk_ @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl630]) ).
thf(zip_derived_cl5_003,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_004,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_k4_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v6_lattices @ A )
& ( l1_lattices @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( ( k4_lattices @ A @ B @ C )
= ( k2_lattices @ A @ B @ C ) ) ) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_lattices @ X1 )
| ~ ( v6_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( ( k4_lattices @ X1 @ X0 @ X2 )
= ( k2_lattices @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k4_lattices]) ).
thf(zip_derived_cl4037,plain,
! [X0: $i] :
( ( ( k4_lattices @ sk_ @ sk__2 @ X0 )
= ( k2_lattices @ sk_ @ sk__2 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v6_lattices @ sk_ )
| ~ ( l1_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl112]) ).
thf(zip_derived_cl0_005,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187_006,plain,
v6_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl132_007,plain,
l1_lattices @ sk_,
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2]) ).
thf(zip_derived_cl4061,plain,
! [X0: $i] :
( ( ( k4_lattices @ sk_ @ sk__2 @ X0 )
= ( k2_lattices @ sk_ @ sk__2 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4037,zip_derived_cl0,zip_derived_cl187,zip_derived_cl132]) ).
thf(zip_derived_cl4151,plain,
( ( k4_lattices @ sk_ @ sk__2 @ sk__1 )
= ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4061]) ).
thf(zip_derived_cl4186,plain,
( ~ ( r2_hidden @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ~ ( r2_hidden @ sk__1 @ ( k18_filter_2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl631,zip_derived_cl4151]) ).
thf(zip_derived_cl5_008,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(reflexivity_r3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v6_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A )
& ( l3_lattices @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( r3_lattices @ A @ B @ B ) ) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r3_lattices @ X0 @ X1 @ X1 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v9_lattices @ X0 )
| ~ ( v8_lattices @ X0 )
| ~ ( v6_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) ) ),
inference(cnf,[status(esa)],[reflexivity_r3_lattices]) ).
thf(zip_derived_cl4422,plain,
! [X0: $i,X1: $i] :
( ( r3_lattices @ X1 @ X0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v9_lattices @ X1 )
| ~ ( v8_lattices @ X1 )
| ~ ( v6_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl4430,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v6_lattices @ sk_ )
| ~ ( v8_lattices @ sk_ )
| ~ ( v9_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( r3_lattices @ sk_ @ sk__1 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4422]) ).
thf(zip_derived_cl0_009,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187_010,plain,
v6_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v8_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc1_lattices]) ).
thf(zip_derived_cl0_011,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl191,plain,
( ~ ( l3_lattices @ sk_ )
| ( v8_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).
thf(zip_derived_cl2_012,plain,
l3_lattices @ 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_cl193,plain,
v8_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v9_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc1_lattices]) ).
thf(zip_derived_cl0_014,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
( ~ ( l3_lattices @ sk_ )
| ( v9_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl0]) ).
thf(zip_derived_cl2_015,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_016,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200,plain,
v9_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl2_017,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4449,plain,
r3_lattices @ sk_ @ sk__1 @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl4430,zip_derived_cl0,zip_derived_cl187,zip_derived_cl193,zip_derived_cl200,zip_derived_cl2]) ).
thf(zip_derived_cl5_018,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fraenkel_a_2_0_filter_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v10_lattices @ B )
& ( l3_lattices @ B )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) )
=> ( ( r2_hidden @ A @ ( a_2_0_filter_2 @ B @ C ) )
<=> ? [D: $i] :
( ( r3_lattices @ B @ D @ C )
& ( A = D )
& ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) ) ) ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
| ( r2_hidden @ X2 @ ( a_2_0_filter_2 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X3 @ ( u1_struct_0 @ X0 ) )
| ( X2 != X3 )
| ~ ( r3_lattices @ X0 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[fraenkel_a_2_0_filter_2]) ).
thf(zip_derived_cl3733,plain,
! [X0: $i,X1: $i] :
( ~ ( r3_lattices @ sk_ @ X0 @ sk__1 )
| ( X1 != X0 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( r2_hidden @ X1 @ ( a_2_0_filter_2 @ sk_ @ sk__1 ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl86]) ).
thf(zip_derived_cl5_019,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d9_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 ) )
=> ( ( k18_filter_2 @ A @ B )
= ( a_2_0_filter_2 @ A @ B ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( ( k18_filter_2 @ X1 @ X0 )
= ( a_2_0_filter_2 @ X1 @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d9_filter_2]) ).
thf(zip_derived_cl797,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( ( k18_filter_2 @ sk_ @ sk__1 )
= ( a_2_0_filter_2 @ sk_ @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl27]) ).
thf(zip_derived_cl0_020,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_021,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_022,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl802,plain,
( ( k18_filter_2 @ sk_ @ sk__1 )
= ( a_2_0_filter_2 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
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_cl3757,plain,
! [X0: $i,X1: $i] :
( ~ ( r3_lattices @ sk_ @ X0 @ sk__1 )
| ( X1 != X0 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( r2_hidden @ X1 @ ( k18_filter_2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3733,zip_derived_cl802,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl5276,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( X0 != sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4449,zip_derived_cl3757]) ).
thf(zip_derived_cl5_026,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5281,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ( X0 != sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5276,zip_derived_cl5]) ).
thf(zip_derived_cl5333,plain,
r2_hidden @ sk__1 @ ( k18_filter_2 @ sk_ @ sk__1 ),
inference(eq_res,[status(thm)],[zip_derived_cl5281]) ).
thf(zip_derived_cl5370,plain,
~ ( r2_hidden @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ ( k18_filter_2 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4186,zip_derived_cl5333]) ).
thf(zip_derived_cl3_027,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_028,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t23_lattices,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v6_lattices @ A )
& ( v8_lattices @ A )
& ( l3_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 @ ( k4_lattices @ A @ B @ C ) @ B ) ) ) ) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( r1_lattices @ X1 @ ( k4_lattices @ X1 @ X0 @ X2 ) @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v8_lattices @ X1 )
| ~ ( v6_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t23_lattices]) ).
thf(zip_derived_cl4526,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v6_lattices @ sk_ )
| ~ ( v8_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( r1_lattices @ sk_ @ ( k4_lattices @ sk_ @ sk__1 @ X0 ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl120]) ).
thf(zip_derived_cl0_029,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187_030,plain,
v6_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl193_031,plain,
v8_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl2_032,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4546,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( r1_lattices @ sk_ @ ( k4_lattices @ sk_ @ sk__1 @ X0 ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4526,zip_derived_cl0,zip_derived_cl187,zip_derived_cl193,zip_derived_cl2]) ).
thf(zip_derived_cl4560,plain,
r1_lattices @ sk_ @ ( k4_lattices @ sk_ @ sk__1 @ sk__2 ) @ sk__1,
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4546]) ).
thf(zip_derived_cl3_033,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_034,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_lattices @ X1 )
| ~ ( v6_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( ( k4_lattices @ X1 @ X0 @ X2 )
= ( k2_lattices @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k4_lattices]) ).
thf(zip_derived_cl4036,plain,
! [X0: $i] :
( ( ( k4_lattices @ sk_ @ sk__1 @ X0 )
= ( k2_lattices @ sk_ @ sk__1 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v6_lattices @ sk_ )
| ~ ( l1_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl112]) ).
thf(zip_derived_cl0_036,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187_037,plain,
v6_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl132_038,plain,
l1_lattices @ sk_,
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2]) ).
thf(zip_derived_cl4060,plain,
! [X0: $i] :
( ( ( k4_lattices @ sk_ @ sk__1 @ X0 )
= ( k2_lattices @ sk_ @ sk__1 @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4036,zip_derived_cl0,zip_derived_cl187,zip_derived_cl132]) ).
thf(zip_derived_cl4127,plain,
( ( k4_lattices @ sk_ @ sk__1 @ sk__2 )
= ( k2_lattices @ sk_ @ sk__1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4060]) ).
thf(zip_derived_cl624_039,plain,
( ( k4_lattices @ sk_ @ sk__1 @ sk__2 )
= ( k4_lattices @ sk_ @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl543]) ).
thf(zip_derived_cl4127_040,plain,
( ( k4_lattices @ sk_ @ sk__1 @ sk__2 )
= ( k2_lattices @ sk_ @ sk__1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4060]) ).
thf(zip_derived_cl4179,plain,
( ( k2_lattices @ sk_ @ sk__1 @ sk__2 )
= ( k4_lattices @ sk_ @ sk__2 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl624,zip_derived_cl4127]) ).
thf(zip_derived_cl4151_041,plain,
( ( k4_lattices @ sk_ @ sk__2 @ sk__1 )
= ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4061]) ).
thf(zip_derived_cl4406,plain,
( ( k2_lattices @ sk_ @ sk__1 @ sk__2 )
= ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4179,zip_derived_cl4151]) ).
thf(zip_derived_cl4415,plain,
( ( k4_lattices @ sk_ @ sk__1 @ sk__2 )
= ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4127,zip_derived_cl4406]) ).
thf(zip_derived_cl4574,plain,
r1_lattices @ sk_ @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl4560,zip_derived_cl4415]) ).
thf(zip_derived_cl3_042,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_043,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k2_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_lattices @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k2_lattices @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( m1_subset_1 @ ( k2_lattices @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k2_lattices]) ).
thf(zip_derived_cl1134,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k2_lattices @ sk_ @ sk__1 @ X0 ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( l1_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl35]) ).
thf(zip_derived_cl0_044,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_045,plain,
l1_lattices @ sk_,
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2]) ).
thf(zip_derived_cl1140,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k2_lattices @ sk_ @ sk__1 @ X0 ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl0,zip_derived_cl132]) ).
thf(zip_derived_cl1167,plain,
m1_subset_1 @ ( k2_lattices @ sk_ @ sk__1 @ sk__2 ) @ ( u1_struct_0 @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1140]) ).
thf(redefinition_r3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v6_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A )
& ( l3_lattices @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( ( r3_lattices @ A @ B @ C )
<=> ( r1_lattices @ A @ B @ C ) ) ) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v9_lattices @ X1 )
| ~ ( v8_lattices @ X1 )
| ~ ( v6_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( r3_lattices @ X1 @ X0 @ X2 )
| ~ ( r1_lattices @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_r3_lattices]) ).
thf(zip_derived_cl4205,plain,
! [X0: $i] :
( ~ ( r1_lattices @ sk_ @ ( k2_lattices @ sk_ @ sk__1 @ sk__2 ) @ X0 )
| ( r3_lattices @ sk_ @ ( k2_lattices @ sk_ @ sk__1 @ sk__2 ) @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v6_lattices @ sk_ )
| ~ ( v8_lattices @ sk_ )
| ~ ( v9_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1167,zip_derived_cl115]) ).
thf(zip_derived_cl0_046,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187_047,plain,
v6_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl193_048,plain,
v8_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl200_049,plain,
v9_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl2_050,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4227,plain,
! [X0: $i] :
( ~ ( r1_lattices @ sk_ @ ( k2_lattices @ sk_ @ sk__1 @ sk__2 ) @ X0 )
| ( r3_lattices @ sk_ @ ( k2_lattices @ sk_ @ sk__1 @ sk__2 ) @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4205,zip_derived_cl0,zip_derived_cl187,zip_derived_cl193,zip_derived_cl200,zip_derived_cl2]) ).
thf(zip_derived_cl4406_051,plain,
( ( k2_lattices @ sk_ @ sk__1 @ sk__2 )
= ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4179,zip_derived_cl4151]) ).
thf(zip_derived_cl4406_052,plain,
( ( k2_lattices @ sk_ @ sk__1 @ sk__2 )
= ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4179,zip_derived_cl4151]) ).
thf(zip_derived_cl255500,plain,
! [X0: $i] :
( ~ ( r1_lattices @ sk_ @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ X0 )
| ( r3_lattices @ sk_ @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4227,zip_derived_cl4406,zip_derived_cl4406]) ).
thf(zip_derived_cl255502,plain,
( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( r3_lattices @ sk_ @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4574,zip_derived_cl255500]) ).
thf(zip_derived_cl5_053,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl255521,plain,
r3_lattices @ sk_ @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl255502,zip_derived_cl5]) ).
thf(zip_derived_cl3757_054,plain,
! [X0: $i,X1: $i] :
( ~ ( r3_lattices @ sk_ @ X0 @ sk__1 )
| ( X1 != X0 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( r2_hidden @ X1 @ ( k18_filter_2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3733,zip_derived_cl802,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl255523,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ~ ( m1_subset_1 @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ ( u1_struct_0 @ sk_ ) )
| ( X0
!= ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl255521,zip_derived_cl3757]) ).
thf(zip_derived_cl5_055,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_056,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35_057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( m1_subset_1 @ ( k2_lattices @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k2_lattices]) ).
thf(zip_derived_cl1135,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k2_lattices @ sk_ @ sk__2 @ X0 ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( l1_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl35]) ).
thf(zip_derived_cl0_058,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_059,plain,
l1_lattices @ sk_,
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2]) ).
thf(zip_derived_cl1141,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k2_lattices @ sk_ @ sk__2 @ X0 ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl0,zip_derived_cl132]) ).
thf(zip_derived_cl1232,plain,
m1_subset_1 @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ ( u1_struct_0 @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1141]) ).
thf(zip_derived_cl255542,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( k18_filter_2 @ sk_ @ sk__1 ) )
| ( X0
!= ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl255523,zip_derived_cl1232]) ).
thf(zip_derived_cl255557,plain,
r2_hidden @ ( k2_lattices @ sk_ @ sk__2 @ sk__1 ) @ ( k18_filter_2 @ sk_ @ sk__1 ),
inference(eq_res,[status(thm)],[zip_derived_cl255542]) ).
thf(zip_derived_cl255578,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5370,zip_derived_cl255557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT305+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.S9Zukv5JA6 true
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 07:10:00 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.19/0.34 % Running in FO mode
% 0.20/0.61 % Total configuration time : 435
% 0.20/0.61 % Estimated wc time : 1092
% 0.20/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 188.78/27.82 % Solved by fo/fo5.sh.
% 188.78/27.82 % done 5911 iterations in 27.045s
% 188.78/27.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 188.78/27.82 % SZS output start Refutation
% See solution above
% 188.78/27.82
% 188.78/27.82
% 188.78/27.82 % Terminating...
% 189.24/27.90 % Runner terminated.
% 189.24/27.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------