%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG220+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z8uVzoRUG0 true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:28:20 PM UTC 2025
% Result : Theorem 7.17s 1.67s
% Output : Refutation 7.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 5
% Syntax : Number of formulae : 326 ( 214 unt; 0 typ; 0 def)
% Number of atoms : 1985 ( 53 equ; 0 cnn)
% Maximal formula atoms : 29 ( 6 avg)
% Number of connectives : 6224 (1397 ~;1512 |; 125 &;3168 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 5 con; 0-3 aty)
% Number of variables : 201 ( 0 ^; 201 !; 0 ?; 201 :)
% Comments :
%------------------------------------------------------------------------------
thf(v5_rlvect_1_type,type,
v5_rlvect_1: $i > $o ).
thf(m1_rmod_2_type,type,
m1_rmod_2: $i > $i > $i > $o ).
thf(l1_vectsp_2_type,type,
l1_vectsp_2: $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v6_rlvect_1_type,type,
v6_rlvect_1: $i > $o ).
thf(v3_vectsp_2_type,type,
v3_vectsp_2: $i > $i > $o ).
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(v3_rlvect_1_type,type,
v3_rlvect_1: $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v5_vectsp_2_type,type,
v5_vectsp_2: $i > $i > $o ).
thf(v7_vectsp_1_type,type,
v7_vectsp_1: $i > $o ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(sk__25_type,type,
sk__25: $i ).
thf(v7_group_1_type,type,
v7_group_1: $i > $o ).
thf(l3_vectsp_1_type,type,
l3_vectsp_1: $i > $o ).
thf(v4_rlvect_1_type,type,
v4_rlvect_1: $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(k1_rmod_5_type,type,
k1_rmod_5: $i > $i > $i > $i ).
thf(sk__24_type,type,
sk__24: $i ).
thf(v2_vectsp_2_type,type,
v2_vectsp_2: $i > $o ).
thf(v10_vectsp_1_type,type,
v10_vectsp_1: $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(v6_vectsp_1_type,type,
v6_vectsp_1: $i > $o ).
thf(v8_vectsp_1_type,type,
v8_vectsp_1: $i > $o ).
thf(t16_rmod_5,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_rlvect_1 @ A )
& ( v4_rlvect_1 @ A )
& ( v5_rlvect_1 @ A )
& ( v6_rlvect_1 @ A )
& ( v4_group_1 @ A )
& ( v7_group_1 @ A )
& ( v6_vectsp_1 @ A )
& ( v7_vectsp_1 @ A )
& ( v8_vectsp_1 @ A )
& ~ ( v10_vectsp_1 @ A )
& ( v2_vectsp_2 @ A )
& ( l3_vectsp_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_rlvect_1 @ B )
& ( v4_rlvect_1 @ B )
& ( v5_rlvect_1 @ B )
& ( v6_rlvect_1 @ B )
& ( v3_vectsp_2 @ B @ A )
& ( v5_vectsp_2 @ B @ A )
& ( l1_vectsp_2 @ B @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
=> ( ( ( ( k1_rmod_5 @ A @ B @ C )
= B )
& ( r1_tarski @ C @ D ) )
=> ( ( k1_rmod_5 @ A @ B @ D )
= B ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_rlvect_1 @ A )
& ( v4_rlvect_1 @ A )
& ( v5_rlvect_1 @ A )
& ( v6_rlvect_1 @ A )
& ( v4_group_1 @ A )
& ( v7_group_1 @ A )
& ( v6_vectsp_1 @ A )
& ( v7_vectsp_1 @ A )
& ( v8_vectsp_1 @ A )
& ~ ( v10_vectsp_1 @ A )
& ( v2_vectsp_2 @ A )
& ( l3_vectsp_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_rlvect_1 @ B )
& ( v4_rlvect_1 @ B )
& ( v5_rlvect_1 @ B )
& ( v6_rlvect_1 @ B )
& ( v3_vectsp_2 @ B @ A )
& ( v5_vectsp_2 @ B @ A )
& ( l1_vectsp_2 @ B @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
=> ( ( ( ( k1_rmod_5 @ A @ B @ C )
= B )
& ( r1_tarski @ C @ D ) )
=> ( ( k1_rmod_5 @ A @ B @ D )
= B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t16_rmod_5]) ).
thf(zip_derived_cl117,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_m1_rmod_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_rlvect_1 @ A )
& ( v4_rlvect_1 @ A )
& ( v5_rlvect_1 @ A )
& ( v6_rlvect_1 @ A )
& ( v4_group_1 @ A )
& ( v6_vectsp_1 @ A )
& ( v7_vectsp_1 @ A )
& ( v8_vectsp_1 @ A )
& ( l3_vectsp_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v3_rlvect_1 @ B )
& ( v4_rlvect_1 @ B )
& ( v5_rlvect_1 @ B )
& ( v6_rlvect_1 @ B )
& ( v5_vectsp_2 @ B @ A )
& ( l1_vectsp_2 @ B @ A ) )
=> ! [C: $i] :
( ( m1_rmod_2 @ C @ A @ B )
=> ( ~ ( v3_struct_0 @ C )
& ( v3_rlvect_1 @ C )
& ( v4_rlvect_1 @ C )
& ( v5_rlvect_1 @ C )
& ( v6_rlvect_1 @ C )
& ( v5_vectsp_2 @ C @ A )
& ( l1_vectsp_2 @ C @ A ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_vectsp_2 @ X1 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ X0 )
| ~ ( v3_struct_0 @ X2 )
| ~ ( m1_rmod_2 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_rmod_2]) ).
thf(zip_derived_cl1815,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ~ ( v3_struct_0 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl28]) ).
thf(zip_derived_cl1876,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v3_struct_0 @ X1 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1815]) ).
thf(zip_derived_cl3290,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ~ ( v3_struct_0 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1876]) ).
thf(zip_derived_cl109,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3291,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ~ ( v3_struct_0 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3290,zip_derived_cl109,zip_derived_cl110,zip_derived_cl111,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116,zip_derived_cl118,zip_derived_cl121]) ).
thf(zip_derived_cl117_001,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_002,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115,plain,
v7_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
v2_vectsp_2 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k1_rmod_5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_rlvect_1 @ A )
& ( v4_rlvect_1 @ A )
& ( v5_rlvect_1 @ A )
& ( v6_rlvect_1 @ A )
& ( v4_group_1 @ A )
& ( v7_group_1 @ A )
& ( v6_vectsp_1 @ A )
& ( v7_vectsp_1 @ A )
& ( v8_vectsp_1 @ A )
& ~ ( v10_vectsp_1 @ A )
& ( v2_vectsp_2 @ A )
& ( l3_vectsp_1 @ A )
& ~ ( v3_struct_0 @ B )
& ( v3_rlvect_1 @ B )
& ( v4_rlvect_1 @ B )
& ( v5_rlvect_1 @ B )
& ( v6_rlvect_1 @ B )
& ( v5_vectsp_2 @ B @ A )
& ( l1_vectsp_2 @ B @ A )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) ) )
=> ( ( v3_vectsp_2 @ ( k1_rmod_5 @ A @ B @ C ) @ A )
& ( m1_rmod_2 @ ( k1_rmod_5 @ A @ B @ C ) @ A @ B ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_vectsp_2 @ X0 @ X1 )
| ~ ( v5_vectsp_2 @ X0 @ X1 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l3_vectsp_1 @ X1 )
| ~ ( v2_vectsp_2 @ X1 )
| ( v10_vectsp_1 @ X1 )
| ~ ( v8_vectsp_1 @ X1 )
| ~ ( v7_vectsp_1 @ X1 )
| ~ ( v6_vectsp_1 @ X1 )
| ~ ( v7_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ X1 @ X0 @ X2 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_rmod_5]) ).
thf(zip_derived_cl119,plain,
~ ( v10_vectsp_1 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1730,plain,
! [X0: $i,X1: $i] :
( ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v7_group_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v2_vectsp_2 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl119]) ).
thf(zip_derived_cl1737,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl120,zip_derived_cl1730]) ).
thf(zip_derived_cl1791,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( sk__22 != sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl115,zip_derived_cl1737]) ).
thf(zip_derived_cl1846,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ( sk__22 != sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 )
| ( sk__22 != sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl1791]) ).
thf(zip_derived_cl1957,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ( sk__22 != sk__22 )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( sk__22 != sk__22 )
| ( sk__22 != sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1846]) ).
thf(zip_derived_cl3618,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1957]) ).
thf(zip_derived_cl121_003,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_004,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_005,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_006,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_007,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_008,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_009,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl109_010,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3619,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3618,zip_derived_cl121,zip_derived_cl118,zip_derived_cl116,zip_derived_cl113,zip_derived_cl112,zip_derived_cl111,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3634,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3291,zip_derived_cl3619]) ).
thf(zip_derived_cl3642,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3634]) ).
thf(zip_derived_cl117_011,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_012,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_vectsp_2 @ X1 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ X0 )
| ( v3_rlvect_1 @ X2 )
| ~ ( m1_rmod_2 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_rmod_2]) ).
thf(zip_derived_cl1814,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v3_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl27]) ).
thf(zip_derived_cl1873,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v3_rlvect_1 @ X1 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1814]) ).
thf(zip_derived_cl3266,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v3_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1873]) ).
thf(zip_derived_cl109_013,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_014,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_015,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_016,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_017,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_018,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_019,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_020,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3267,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v3_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3266,zip_derived_cl109,zip_derived_cl110,zip_derived_cl111,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116,zip_derived_cl118,zip_derived_cl121]) ).
thf(zip_derived_cl3619_021,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3618,zip_derived_cl121,zip_derived_cl118,zip_derived_cl116,zip_derived_cl113,zip_derived_cl112,zip_derived_cl111,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3633,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3267,zip_derived_cl3619]) ).
thf(zip_derived_cl3641,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3633]) ).
thf(zip_derived_cl117_022,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_023,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_vectsp_2 @ X1 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ X0 )
| ( v4_rlvect_1 @ X2 )
| ~ ( m1_rmod_2 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_rmod_2]) ).
thf(zip_derived_cl1813,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v4_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl26]) ).
thf(zip_derived_cl1870,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v4_rlvect_1 @ X1 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1813]) ).
thf(zip_derived_cl3255,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v4_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1870]) ).
thf(zip_derived_cl109_024,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_025,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_026,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_027,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_028,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_029,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_030,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_031,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3256,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v4_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3255,zip_derived_cl109,zip_derived_cl110,zip_derived_cl111,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116,zip_derived_cl118,zip_derived_cl121]) ).
thf(zip_derived_cl3619_032,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3618,zip_derived_cl121,zip_derived_cl118,zip_derived_cl116,zip_derived_cl113,zip_derived_cl112,zip_derived_cl111,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3632,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3256,zip_derived_cl3619]) ).
thf(zip_derived_cl3640,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3632]) ).
thf(zip_derived_cl117_033,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_034,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_vectsp_2 @ X1 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ X0 )
| ( v5_rlvect_1 @ X2 )
| ~ ( m1_rmod_2 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_rmod_2]) ).
thf(zip_derived_cl1812,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v5_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl25]) ).
thf(zip_derived_cl1867,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v5_rlvect_1 @ X1 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1812]) ).
thf(zip_derived_cl3234,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v5_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1867]) ).
thf(zip_derived_cl109_035,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_036,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_037,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_038,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_039,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_040,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_041,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_042,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3235,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v5_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3234,zip_derived_cl109,zip_derived_cl110,zip_derived_cl111,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116,zip_derived_cl118,zip_derived_cl121]) ).
thf(zip_derived_cl3619_043,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3618,zip_derived_cl121,zip_derived_cl118,zip_derived_cl116,zip_derived_cl113,zip_derived_cl112,zip_derived_cl111,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3631,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3235,zip_derived_cl3619]) ).
thf(zip_derived_cl3639,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3631]) ).
thf(zip_derived_cl117_044,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_045,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_vectsp_2 @ X1 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ X0 )
| ( v6_rlvect_1 @ X2 )
| ~ ( m1_rmod_2 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_rmod_2]) ).
thf(zip_derived_cl1811,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v6_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl24]) ).
thf(zip_derived_cl1864,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v6_rlvect_1 @ X1 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1811]) ).
thf(zip_derived_cl3215,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v6_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1864]) ).
thf(zip_derived_cl109_046,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_047,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_048,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_049,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_050,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_051,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_052,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_053,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3216,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v6_rlvect_1 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3215,zip_derived_cl109,zip_derived_cl110,zip_derived_cl111,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116,zip_derived_cl118,zip_derived_cl121]) ).
thf(zip_derived_cl3619_054,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3618,zip_derived_cl121,zip_derived_cl118,zip_derived_cl116,zip_derived_cl113,zip_derived_cl112,zip_derived_cl111,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3630,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3216,zip_derived_cl3619]) ).
thf(zip_derived_cl3638,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3630]) ).
thf(zip_derived_cl117_055,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_056,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115_057,plain,
v7_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_058,plain,
v2_vectsp_2 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_vectsp_2 @ X0 @ X1 )
| ~ ( v5_vectsp_2 @ X0 @ X1 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l3_vectsp_1 @ X1 )
| ~ ( v2_vectsp_2 @ X1 )
| ( v10_vectsp_1 @ X1 )
| ~ ( v8_vectsp_1 @ X1 )
| ~ ( v7_vectsp_1 @ X1 )
| ~ ( v6_vectsp_1 @ X1 )
| ~ ( v7_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_vectsp_2 @ ( k1_rmod_5 @ X1 @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[dt_k1_rmod_5]) ).
thf(zip_derived_cl119_059,plain,
~ ( v10_vectsp_1 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1729,plain,
! [X0: $i,X1: $i] :
( ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v7_group_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v2_vectsp_2 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl119]) ).
thf(zip_derived_cl1734,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ~ ( l1_vectsp_2 @ X1 @ sk__22 )
| ~ ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X1 @ X0 ) @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl120,zip_derived_cl1729]) ).
thf(zip_derived_cl1788,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( sk__22 != sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl115,zip_derived_cl1734]) ).
thf(zip_derived_cl1843,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ( sk__22 != sk__22 )
| ~ ( l1_vectsp_2 @ X1 @ sk__22 )
| ~ ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X1 @ X0 ) @ sk__22 )
| ( sk__22 != sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl1788]) ).
thf(zip_derived_cl1954,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ( sk__22 != sk__22 )
| ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( sk__22 != sk__22 )
| ( sk__22 != sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1843]) ).
thf(zip_derived_cl3566,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1954]) ).
thf(zip_derived_cl121_060,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_061,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_062,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_063,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_064,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_065,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_066,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl109_067,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3567,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl3566,zip_derived_cl121,zip_derived_cl118,zip_derived_cl116,zip_derived_cl113,zip_derived_cl112,zip_derived_cl111,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl117_068,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_069,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_vectsp_2 @ X1 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ X0 )
| ( v5_vectsp_2 @ X2 @ X0 )
| ~ ( m1_rmod_2 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_rmod_2]) ).
thf(zip_derived_cl1810,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl23]) ).
thf(zip_derived_cl1861,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1810]) ).
thf(zip_derived_cl3191,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1861]) ).
thf(zip_derived_cl109_070,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_071,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_072,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_073,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_074,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_075,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_076,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_077,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3192,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3191,zip_derived_cl109,zip_derived_cl110,zip_derived_cl111,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116,zip_derived_cl118,zip_derived_cl121]) ).
thf(zip_derived_cl3619_078,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3618,zip_derived_cl121,zip_derived_cl118,zip_derived_cl116,zip_derived_cl113,zip_derived_cl112,zip_derived_cl111,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3629,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( v5_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3192,zip_derived_cl3619]) ).
thf(zip_derived_cl3637,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v5_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3629]) ).
thf(zip_derived_cl117_079,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_080,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_vectsp_2 @ X1 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ X0 )
| ( l1_vectsp_2 @ X2 @ X0 )
| ~ ( m1_rmod_2 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_rmod_2]) ).
thf(zip_derived_cl1809,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( l1_vectsp_2 @ X1 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl22]) ).
thf(zip_derived_cl1858,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( l1_vectsp_2 @ X1 @ sk__22 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1809]) ).
thf(zip_derived_cl3169,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( l1_vectsp_2 @ X1 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1858]) ).
thf(zip_derived_cl109_081,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_082,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_083,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_084,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_085,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_086,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_087,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_088,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3170,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( l1_vectsp_2 @ X1 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3169,zip_derived_cl109,zip_derived_cl110,zip_derived_cl111,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116,zip_derived_cl118,zip_derived_cl121]) ).
thf(zip_derived_cl3619_089,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3618,zip_derived_cl121,zip_derived_cl118,zip_derived_cl116,zip_derived_cl113,zip_derived_cl112,zip_derived_cl111,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl3628,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( l1_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3170,zip_derived_cl3619]) ).
thf(zip_derived_cl3636,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( l1_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3628]) ).
thf(zip_derived_cl3619_090,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3618,zip_derived_cl121,zip_derived_cl118,zip_derived_cl116,zip_derived_cl113,zip_derived_cl112,zip_derived_cl111,zip_derived_cl110,zip_derived_cl109]) ).
thf(zip_derived_cl123,plain,
( ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__24 )
= sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl117_091,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_092,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115_093,plain,
v7_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124,plain,
r1_tarski @ sk__24 @ sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120_094,plain,
v2_vectsp_2 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t15_rmod_5,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_rlvect_1 @ A )
& ( v4_rlvect_1 @ A )
& ( v5_rlvect_1 @ A )
& ( v6_rlvect_1 @ A )
& ( v4_group_1 @ A )
& ( v7_group_1 @ A )
& ( v6_vectsp_1 @ A )
& ( v7_vectsp_1 @ A )
& ( v8_vectsp_1 @ A )
& ~ ( v10_vectsp_1 @ A )
& ( v2_vectsp_2 @ A )
& ( l3_vectsp_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_rlvect_1 @ B )
& ( v4_rlvect_1 @ B )
& ( v5_rlvect_1 @ B )
& ( v6_rlvect_1 @ B )
& ( v5_vectsp_2 @ B @ A )
& ( l1_vectsp_2 @ B @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
=> ( ( r1_tarski @ C @ D )
=> ( m1_rmod_2 @ ( k1_rmod_5 @ A @ B @ C ) @ A @ ( k1_rmod_5 @ A @ B @ D ) ) ) ) ) ) ) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ X1 @ X0 @ X3 ) @ X1 @ ( k1_rmod_5 @ X1 @ X0 @ X2 ) )
| ~ ( r1_tarski @ X3 @ X2 )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l3_vectsp_1 @ X1 )
| ~ ( v2_vectsp_2 @ X1 )
| ( v10_vectsp_1 @ X1 )
| ~ ( v8_vectsp_1 @ X1 )
| ~ ( v7_vectsp_1 @ X1 )
| ~ ( v6_vectsp_1 @ X1 )
| ~ ( v7_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t15_rmod_5]) ).
thf(zip_derived_cl119_095,plain,
~ ( v10_vectsp_1 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1731,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v7_group_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v2_vectsp_2 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( r1_tarski @ X2 @ X1 )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X2 ) @ sk__22 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl99,zip_derived_cl119]) ).
thf(zip_derived_cl1740,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk__22 != sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ X1 ) @ sk__22 @ ( k1_rmod_5 @ sk__22 @ X0 @ X2 ) )
| ~ ( r1_tarski @ X1 @ X2 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl120,zip_derived_cl1731]) ).
thf(zip_derived_cl1746,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v7_group_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( m1_subset_1 @ sk__24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__24 ) @ sk__22 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__25 ) )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( sk__22 != sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl124,zip_derived_cl1740]) ).
thf(zip_derived_cl1800,plain,
! [X0: $i] :
( ( sk__22 != sk__22 )
| ( sk__22 != sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__24 ) @ sk__22 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__25 ) )
| ~ ( m1_subset_1 @ sk__24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl115,zip_derived_cl1746]) ).
thf(zip_derived_cl1855,plain,
! [X0: $i] :
( ( sk__22 != sk__22 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( m1_subset_1 @ sk__24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__24 ) @ sk__22 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__25 ) )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( sk__22 != sk__22 )
| ( sk__22 != sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl1800]) ).
thf(zip_derived_cl1966,plain,
! [X0: $i] :
( ( sk__22 != sk__22 )
| ( sk__22 != sk__22 )
| ( sk__22 != sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__24 ) @ sk__22 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__25 ) )
| ~ ( m1_subset_1 @ sk__24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ( sk__22 != sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1855]) ).
thf(zip_derived_cl3817,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( m1_subset_1 @ sk__24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__24 ) @ sk__22 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__25 ) )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1966]) ).
thf(zip_derived_cl109_096,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_097,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_098,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_099,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_100,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_101,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_102,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_103,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3818,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__24 ) @ sk__22 @ ( k1_rmod_5 @ sk__22 @ X0 @ sk__25 ) )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3817,zip_derived_cl109,zip_derived_cl110,zip_derived_cl111,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116,zip_derived_cl118,zip_derived_cl121]) ).
thf(zip_derived_cl3834,plain,
( ( m1_rmod_2 @ sk__23 @ sk__22 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) )
| ~ ( m1_subset_1 @ sk__24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl3818]) ).
thf(zip_derived_cl134,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122,plain,
m1_subset_1 @ sk__24 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3835,plain,
m1_rmod_2 @ sk__23 @ sk__22 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ),
inference(demod,[status(thm)],[zip_derived_cl3834,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126,zip_derived_cl122]) ).
thf(zip_derived_cl117_104,plain,
v7_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_105,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t33_rmod_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_rlvect_1 @ A )
& ( v4_rlvect_1 @ A )
& ( v5_rlvect_1 @ A )
& ( v6_rlvect_1 @ A )
& ( v4_group_1 @ A )
& ( v6_vectsp_1 @ A )
& ( v7_vectsp_1 @ A )
& ( v8_vectsp_1 @ A )
& ( l3_vectsp_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_rlvect_1 @ B )
& ( v4_rlvect_1 @ B )
& ( v5_rlvect_1 @ B )
& ( v6_rlvect_1 @ B )
& ( v3_vectsp_2 @ B @ A )
& ( v5_vectsp_2 @ B @ A )
& ( l1_vectsp_2 @ B @ A ) )
=> ! [C: $i] :
( ( ~ ( v3_struct_0 @ C )
& ( v3_rlvect_1 @ C )
& ( v4_rlvect_1 @ C )
& ( v5_rlvect_1 @ C )
& ( v6_rlvect_1 @ C )
& ( v3_vectsp_2 @ C @ A )
& ( v5_vectsp_2 @ C @ A )
& ( l1_vectsp_2 @ C @ A ) )
=> ( ( ( m1_rmod_2 @ C @ A @ B )
& ( m1_rmod_2 @ B @ A @ C ) )
=> ( C = B ) ) ) ) ) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v3_vectsp_2 @ X0 @ X1 )
| ~ ( v5_vectsp_2 @ X0 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ X1 )
| ~ ( m1_rmod_2 @ X2 @ X1 @ X0 )
| ~ ( m1_rmod_2 @ X0 @ X1 @ X2 )
| ( X2 = X0 )
| ~ ( l1_vectsp_2 @ X2 @ X1 )
| ~ ( v5_vectsp_2 @ X2 @ X1 )
| ~ ( v3_vectsp_2 @ X2 @ X1 )
| ~ ( v6_rlvect_1 @ X2 )
| ~ ( v5_rlvect_1 @ X2 )
| ~ ( v4_rlvect_1 @ X2 )
| ~ ( v3_rlvect_1 @ X2 )
| ( v3_struct_0 @ X2 )
| ~ ( l3_vectsp_1 @ X1 )
| ~ ( v8_vectsp_1 @ X1 )
| ~ ( v7_vectsp_1 @ X1 )
| ~ ( v6_vectsp_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t33_rmod_2]) ).
thf(zip_derived_cl1840,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v7_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v3_vectsp_2 @ X1 @ sk__22 )
| ~ ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( l1_vectsp_2 @ X1 @ sk__22 )
| ( X1 = X0 )
| ~ ( m1_rmod_2 @ X0 @ sk__22 @ X1 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v3_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl102]) ).
thf(zip_derived_cl1951,plain,
! [X0: $i,X1: $i] :
( ( sk__22 != sk__22 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v3_vectsp_2 @ X1 @ sk__22 )
| ~ ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( l1_vectsp_2 @ X1 @ sk__22 )
| ~ ( m1_rmod_2 @ X0 @ sk__22 @ X1 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ( X0 = X1 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( v3_vectsp_2 @ X0 @ sk__22 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl117,zip_derived_cl1840]) ).
thf(zip_derived_cl3537,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ sk__22 )
| ~ ( v3_rlvect_1 @ sk__22 )
| ~ ( v4_rlvect_1 @ sk__22 )
| ~ ( v5_rlvect_1 @ sk__22 )
| ~ ( v6_rlvect_1 @ sk__22 )
| ~ ( v6_vectsp_1 @ sk__22 )
| ~ ( v8_vectsp_1 @ sk__22 )
| ~ ( l3_vectsp_1 @ sk__22 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v3_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( X0 = X1 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ~ ( m1_rmod_2 @ X0 @ sk__22 @ X1 )
| ~ ( l1_vectsp_2 @ X1 @ sk__22 )
| ~ ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( v3_vectsp_2 @ X1 @ sk__22 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1951]) ).
thf(zip_derived_cl109_106,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_107,plain,
v3_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111_108,plain,
v4_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_109,plain,
v5_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_110,plain,
v6_rlvect_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_111,plain,
v6_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_112,plain,
v8_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121_113,plain,
l3_vectsp_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3538,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v3_vectsp_2 @ X0 @ sk__22 )
| ~ ( v5_vectsp_2 @ X0 @ sk__22 )
| ~ ( l1_vectsp_2 @ X0 @ sk__22 )
| ( X0 = X1 )
| ~ ( m1_rmod_2 @ X1 @ sk__22 @ X0 )
| ~ ( m1_rmod_2 @ X0 @ sk__22 @ X1 )
| ~ ( l1_vectsp_2 @ X1 @ sk__22 )
| ~ ( v5_vectsp_2 @ X1 @ sk__22 )
| ~ ( v3_vectsp_2 @ X1 @ sk__22 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3537,zip_derived_cl109,zip_derived_cl110,zip_derived_cl111,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116,zip_derived_cl118,zip_derived_cl121]) ).
thf(zip_derived_cl3843,plain,
( ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v3_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 @ sk__23 )
| ( ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 )
= sk__23 )
| ~ ( l1_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v5_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3835,zip_derived_cl3538]) ).
thf(zip_derived_cl134_114,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_115,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_116,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_117,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_118,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129,plain,
v3_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_119,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_120,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3865,plain,
( ~ ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 @ sk__23 )
| ( ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 )
= sk__23 )
| ~ ( l1_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v5_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3843,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl129,zip_derived_cl128,zip_derived_cl127]) ).
thf(zip_derived_cl125,plain,
( ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 )
!= sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3866,plain,
( ~ ( m1_rmod_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 @ sk__23 )
| ~ ( l1_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v5_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3865,zip_derived_cl125]) ).
thf(zip_derived_cl4323,plain,
( ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) )
| ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v5_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( l1_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3619,zip_derived_cl3866]) ).
thf(zip_derived_cl126_121,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl134_122,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_123,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_124,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_125,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_126,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_127,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_128,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4325,plain,
( ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v5_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( l1_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl4323,zip_derived_cl126,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127]) ).
thf(zip_derived_cl4417,plain,
( ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) )
| ~ ( v5_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3636,zip_derived_cl4325]) ).
thf(zip_derived_cl134_129,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_130,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_131,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_132,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_133,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_134,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_135,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_136,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4419,plain,
( ~ ( v5_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4417,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl4425,plain,
( ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3637,zip_derived_cl4419]) ).
thf(zip_derived_cl134_137,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_138,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_139,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_140,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_141,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_142,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_143,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_144,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4427,plain,
( ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_vectsp_2 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl4432,plain,
( ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) )
| ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3567,zip_derived_cl4427]) ).
thf(zip_derived_cl126_145,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl134_146,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_147,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_148,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_149,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_150,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_151,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_152,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4433,plain,
( ~ ( v6_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4432,zip_derived_cl126,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127]) ).
thf(zip_derived_cl4437,plain,
( ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3638,zip_derived_cl4433]) ).
thf(zip_derived_cl134_153,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_154,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_155,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_156,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_157,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_158,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_159,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_160,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4439,plain,
( ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v5_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4437,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl4445,plain,
( ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) )
| ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3639,zip_derived_cl4439]) ).
thf(zip_derived_cl134_161,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_162,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_163,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_164,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_165,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_166,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_167,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_168,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4447,plain,
( ~ ( v4_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4445,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl4453,plain,
( ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3640,zip_derived_cl4447]) ).
thf(zip_derived_cl134_169,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_170,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_171,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_172,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_173,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_174,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_175,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_176,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4455,plain,
( ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) )
| ~ ( v3_rlvect_1 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4453,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl4461,plain,
( ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) )
| ( v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3641,zip_derived_cl4455]) ).
thf(zip_derived_cl134_177,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_178,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_179,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_180,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_181,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_182,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_183,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_184,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4463,plain,
v3_struct_0 @ ( k1_rmod_5 @ sk__22 @ sk__23 @ sk__25 ),
inference(demod,[status(thm)],[zip_derived_cl4461,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl4469,plain,
( ( v3_struct_0 @ sk__23 )
| ~ ( v3_rlvect_1 @ sk__23 )
| ~ ( v4_rlvect_1 @ sk__23 )
| ~ ( v5_rlvect_1 @ sk__23 )
| ~ ( v6_rlvect_1 @ sk__23 )
| ~ ( v5_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( l1_vectsp_2 @ sk__23 @ sk__22 )
| ~ ( m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3642,zip_derived_cl4463]) ).
thf(zip_derived_cl134_185,plain,
~ ( v3_struct_0 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl133_186,plain,
v3_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_187,plain,
v4_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131_188,plain,
v5_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_189,plain,
v6_rlvect_1 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_190,plain,
v5_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_191,plain,
l1_vectsp_2 @ sk__23 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_192,plain,
m1_subset_1 @ sk__25 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4471,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4469,zip_derived_cl134,zip_derived_cl133,zip_derived_cl132,zip_derived_cl131,zip_derived_cl130,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG220+1 : TPTP v9.2.0. Released v3.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z8uVzoRUG0 true
% 0.12/0.34 % Computer : n011.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 : Wed Oct 1 16:59:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.17/1.67 % Solved by fo/fo3_bce.sh.
% 7.17/1.67 % BCE start: 135
% 7.17/1.67 % BCE eliminated: 3
% 7.17/1.67 % PE start: 132
% 7.17/1.67 logic: eq
% 7.17/1.67 % PE eliminated: 3
% 7.17/1.67 % done 619 iterations in 0.865s
% 7.17/1.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.17/1.67 % SZS output start Refutation
% See solution above
% 7.17/1.67
% 7.17/1.67
% 7.17/1.67 % Terminating...
% 7.76/1.83 % Runner terminated.
% 7.79/1.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------