TSTP Solution File: ALG219+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG219+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tUPYZu8d9u true
% Computer : n024.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 : Wed Aug 30 17:12:15 EDT 2023
% Result : Theorem 54.34s 8.40s
% Output : Refutation 54.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 49
% Syntax : Number of formulae : 160 ( 73 unt; 38 typ; 0 def)
% Number of atoms : 639 ( 74 equ; 0 cnn)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 1890 ( 373 ~; 402 |; 92 &;1000 @)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 50 ( 50 >; 0 *; 0 +; 0 <<)
% Number of symbols : 40 ( 38 usr; 4 con; 0-5 aty)
% Number of variables : 82 ( 0 ^; 82 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(v5_rlvect_1_type,type,
v5_rlvect_1: $i > $o ).
thf(r1_tarski_type,type,
r1_tarski: $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(k2_group_1_type,type,
k2_group_1: $i > $i ).
thf(v6_rlvect_1_type,type,
v6_rlvect_1: $i > $o ).
thf(l1_group_1_type,type,
l1_group_1: $i > $o ).
thf(l1_rlvect_1_type,type,
l1_rlvect_1: $i > $o ).
thf(v3_vectsp_2_type,type,
v3_vectsp_2: $i > $i > $o ).
thf(m1_rmod_2_type,type,
m1_rmod_2: $i > $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(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k2_rmod_2_type,type,
k2_rmod_2: $i > $i > $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(u1_rlvect_1_type,type,
u1_rlvect_1: $i > $i ).
thf(v5_vectsp_2_type,type,
v5_vectsp_2: $i > $i > $o ).
thf(u1_vectsp_2_type,type,
u1_vectsp_2: $i > $i > $i ).
thf(v7_vectsp_1_type,type,
v7_vectsp_1: $i > $o ).
thf(k1_rmod_5_type,type,
k1_rmod_5: $i > $i > $i > $i ).
thf(l2_vectsp_1_type,type,
l2_vectsp_1: $i > $o ).
thf(u2_struct_0_type,type,
u2_struct_0: $i > $i ).
thf(g1_vectsp_2_type,type,
g1_vectsp_2: $i > $i > $i > $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(v7_group_1_type,type,
v7_group_1: $i > $o ).
thf(l3_vectsp_1_type,type,
l3_vectsp_1: $i > $o ).
thf(k1_rlvect_1_type,type,
k1_rlvect_1: $i > $i ).
thf(v4_rlvect_1_type,type,
v4_rlvect_1: $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(v2_vectsp_2_type,type,
v2_vectsp_2: $i > $o ).
thf(l2_struct_0_type,type,
l2_struct_0: $i > $o ).
thf(v10_vectsp_1_type,type,
v10_vectsp_1: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(v6_vectsp_1_type,type,
v6_vectsp_1: $i > $o ).
thf(l1_vectsp_1_type,type,
l1_vectsp_1: $i > $o ).
thf(v8_vectsp_1_type,type,
v8_vectsp_1: $i > $o ).
thf(t14_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 ) ) )
=> ( ( C
= ( u1_struct_0 @ B ) )
=> ( ( ( k1_rlvect_1 @ A )
= ( k2_group_1 @ A ) )
| ( ( k1_rmod_5 @ A @ B @ C )
= 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 ) ) )
=> ( ( C
= ( u1_struct_0 @ B ) )
=> ( ( ( k1_rlvect_1 @ A )
= ( k2_group_1 @ A ) )
| ( ( k1_rmod_5 @ A @ B @ C )
= B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t14_rmod_5]) ).
thf(zip_derived_cl17,plain,
l1_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
v3_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
v7_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
v7_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
v2_vectsp_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t13_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] :
( ( ( v3_vectsp_2 @ D @ A )
& ( m1_rmod_2 @ D @ A @ B ) )
=> ( ( C
= ( u1_struct_0 @ D ) )
=> ( ( ( k1_rlvect_1 @ A )
= ( k2_group_1 @ A ) )
| ( ( k1_rmod_5 @ A @ B @ C )
= D ) ) ) ) ) ) ) ).
thf(zip_derived_cl141,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 )
| ~ ( v3_vectsp_2 @ X2 @ X1 )
| ~ ( m1_rmod_2 @ X2 @ X1 @ X0 )
| ( ( k1_rmod_5 @ X1 @ X0 @ X3 )
= X2 )
| ( X3
!= ( u1_struct_0 @ X2 ) )
| ( ( k1_rlvect_1 @ X1 )
= ( k2_group_1 @ X1 ) )
| ~ ( 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)],[t13_rmod_5]) ).
thf(zip_derived_cl10,plain,
~ ( v10_vectsp_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( v7_group_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v7_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( v2_vectsp_2 @ sk_ )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ( X2
!= ( u1_struct_0 @ X1 ) )
| ( ( k1_rmod_5 @ sk_ @ X0 @ X2 )
= X1 )
| ~ ( m1_rmod_2 @ X1 @ sk_ @ X0 )
| ~ ( v3_vectsp_2 @ X1 @ sk_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( 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_cl141,zip_derived_cl10]) ).
thf(zip_derived_cl1835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_ != sk_ )
| ( 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_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v3_vectsp_2 @ X2 @ sk_ )
| ~ ( m1_rmod_2 @ X2 @ sk_ @ X0 )
| ( ( k1_rmod_5 @ sk_ @ X0 @ X1 )
= X2 )
| ( X1
!= ( u1_struct_0 @ X2 ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( v7_vectsp_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v7_group_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl1826]) ).
thf(zip_derived_cl1881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_ != sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v4_group_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v7_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ( X2
!= ( u1_struct_0 @ X1 ) )
| ( ( k1_rmod_5 @ sk_ @ X0 @ X2 )
= X1 )
| ~ ( m1_rmod_2 @ X1 @ sk_ @ X0 )
| ~ ( v3_vectsp_2 @ X1 @ sk_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( sk_ != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl1835]) ).
thf(zip_derived_cl2174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_ != sk_ )
| ( sk_ != sk_ )
| ( 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_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v3_vectsp_2 @ X2 @ sk_ )
| ~ ( m1_rmod_2 @ X2 @ sk_ @ X0 )
| ( ( k1_rmod_5 @ sk_ @ X0 @ X1 )
= X2 )
| ( X1
!= ( u1_struct_0 @ X2 ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( v7_vectsp_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ( sk_ != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl1881]) ).
thf(zip_derived_cl2417,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_ != sk_ )
| ( sk_ != sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ( X2
!= ( u1_struct_0 @ X1 ) )
| ( ( k1_rmod_5 @ sk_ @ X0 @ X2 )
= X1 )
| ~ ( m1_rmod_2 @ X1 @ sk_ @ X0 )
| ~ ( v3_vectsp_2 @ X1 @ sk_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( sk_ != sk_ )
| ( sk_ != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl2174]) ).
thf(zip_derived_cl4757,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 )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v3_vectsp_2 @ X1 @ sk_ )
| ~ ( m1_rmod_2 @ X1 @ sk_ @ X0 )
| ( ( k1_rmod_5 @ sk_ @ X0 @ X2 )
= X1 )
| ( X2
!= ( u1_struct_0 @ X1 ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl2417]) ).
thf(zip_derived_cl12,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
v8_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
v6_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
v6_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
v5_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
v4_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v3_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4758,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 )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v3_vectsp_2 @ X1 @ sk_ )
| ~ ( m1_rmod_2 @ X1 @ sk_ @ X0 )
| ( ( k1_rmod_5 @ sk_ @ X0 @ X2 )
= X1 )
| ( X2
!= ( u1_struct_0 @ X1 ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4757,zip_derived_cl12,zip_derived_cl9,zip_derived_cl7,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
( ( k1_rlvect_1 @ sk_ )
!= ( k2_group_1 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4759,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 )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v3_vectsp_2 @ X1 @ sk_ )
| ~ ( m1_rmod_2 @ X1 @ sk_ @ X0 )
| ( ( k1_rmod_5 @ sk_ @ X0 @ X2 )
= X1 )
| ( X2
!= ( u1_struct_0 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4758,zip_derived_cl16]) ).
thf(zip_derived_cl4763,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ ( u1_struct_0 @ X1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( ( k1_rmod_5 @ sk_ @ X0 @ ( u1_struct_0 @ X1 ) )
= X1 )
| ~ ( m1_rmod_2 @ X1 @ sk_ @ X0 )
| ~ ( v3_vectsp_2 @ X1 @ sk_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4759]) ).
thf(zip_derived_cl7125,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ ( u1_struct_0 @ sk__1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( ( k1_rmod_5 @ sk_ @ X0 @ ( u1_struct_0 @ sk__1 ) )
= sk__1 )
| ~ ( m1_rmod_2 @ sk__1 @ sk_ @ X0 )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl4763]) ).
thf(zip_derived_cl15,plain,
( sk__2
= ( u1_struct_0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15_001,plain,
( sk__2
= ( u1_struct_0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7130,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( ( k1_rmod_5 @ sk_ @ X0 @ sk__2 )
= sk__1 )
| ~ ( m1_rmod_2 @ sk__1 @ sk_ @ X0 )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( 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_cl7125,zip_derived_cl15,zip_derived_cl15]) ).
thf(zip_derived_cl21739,plain,
( ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__1 ) ) )
| ( ( k1_rmod_5 @ sk_ @ sk__1 @ sk__2 )
= sk__1 )
| ~ ( m1_rmod_2 @ sk__1 @ sk_ @ sk__1 )
| ~ ( v5_vectsp_2 @ sk__1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk__1 )
| ~ ( v5_rlvect_1 @ sk__1 )
| ~ ( v4_rlvect_1 @ sk__1 )
| ~ ( v3_rlvect_1 @ sk__1 )
| ( v3_struct_0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl7130]) ).
thf(zip_derived_cl15_002,plain,
( sk__2
= ( u1_struct_0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ) ).
thf(zip_derived_cl140,plain,
! [X0: $i] : ( r1_tarski @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) ).
thf(zip_derived_cl145,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
| ~ ( r1_tarski @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl1814,plain,
! [X0: $i] : ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl140,zip_derived_cl145]) ).
thf(dt_l3_vectsp_1,axiom,
! [A: $i] :
( ( l3_vectsp_1 @ A )
=> ( ( l1_rlvect_1 @ A )
& ( l2_vectsp_1 @ A ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( l2_vectsp_1 @ X0 )
| ~ ( l3_vectsp_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_vectsp_1]) ).
thf(dt_l2_vectsp_1,axiom,
! [A: $i] :
( ( l2_vectsp_1 @ A )
=> ( ( l1_vectsp_1 @ A )
& ( l2_struct_0 @ A ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( l1_vectsp_1 @ X0 )
| ~ ( l2_vectsp_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l2_vectsp_1]) ).
thf(zip_derived_cl1816,plain,
! [X0: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ( l1_vectsp_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl57,zip_derived_cl54]) ).
thf(dt_l1_vectsp_1,axiom,
! [A: $i] :
( ( l1_vectsp_1 @ A )
=> ( l1_group_1 @ A ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( l1_group_1 @ X0 )
| ~ ( l1_vectsp_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_vectsp_1]) ).
thf(dt_l1_group_1,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_group_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_group_1]) ).
thf(zip_derived_cl1821,plain,
! [X0: $i] :
( ~ ( l1_vectsp_1 @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl48]) ).
thf(zip_derived_cl1891,plain,
! [X0: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1816,zip_derived_cl1821]) ).
thf(zip_derived_cl15_003,plain,
( sk__2
= ( u1_struct_0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_004,plain,
v7_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_005,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_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 )
& ( v5_vectsp_2 @ B @ A )
& ( l1_vectsp_2 @ B @ A ) )
=> ( ( k2_rmod_2 @ A @ B )
= ( g1_vectsp_2 @ A @ ( u1_struct_0 @ B ) @ ( u1_rlvect_1 @ B ) @ ( u2_struct_0 @ B ) @ ( u1_vectsp_2 @ A @ B ) ) ) ) ) ).
thf(zip_derived_cl36,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 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ X1 )
| ( ( k2_rmod_2 @ X1 @ X0 )
= ( g1_vectsp_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_rlvect_1 @ X0 ) @ ( u2_struct_0 @ X0 ) @ ( u1_vectsp_2 @ X1 @ X0 ) ) )
| ~ ( 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)],[d4_rmod_2]) ).
thf(zip_derived_cl2132,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v7_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( l3_vectsp_1 @ sk_ )
| ( ( k2_rmod_2 @ sk_ @ X0 )
= ( g1_vectsp_2 @ sk_ @ ( u1_struct_0 @ X0 ) @ ( u1_rlvect_1 @ X0 ) @ ( u2_struct_0 @ X0 ) @ ( u1_vectsp_2 @ sk_ @ X0 ) ) )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( 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_cl5,zip_derived_cl36]) ).
thf(zip_derived_cl2309,plain,
! [X0: $i] :
( ( sk_ != sk_ )
| ( 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_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ( ( k2_rmod_2 @ sk_ @ X0 )
= ( g1_vectsp_2 @ sk_ @ ( u1_struct_0 @ X0 ) @ ( u1_rlvect_1 @ X0 ) @ ( u2_struct_0 @ X0 ) @ ( u1_vectsp_2 @ sk_ @ X0 ) ) )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl2132]) ).
thf(zip_derived_cl4166,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( l3_vectsp_1 @ sk_ )
| ( ( k2_rmod_2 @ sk_ @ X0 )
= ( g1_vectsp_2 @ sk_ @ ( u1_struct_0 @ X0 ) @ ( u1_rlvect_1 @ X0 ) @ ( u2_struct_0 @ X0 ) @ ( u1_vectsp_2 @ sk_ @ X0 ) ) )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( 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_cl2309]) ).
thf(zip_derived_cl0_006,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_007,plain,
v3_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_008,plain,
v4_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_009,plain,
v5_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_010,plain,
v6_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_011,plain,
v6_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_012,plain,
v8_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_013,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4167,plain,
! [X0: $i] :
( ( ( k2_rmod_2 @ sk_ @ X0 )
= ( g1_vectsp_2 @ sk_ @ ( u1_struct_0 @ X0 ) @ ( u1_rlvect_1 @ X0 ) @ ( u2_struct_0 @ X0 ) @ ( u1_vectsp_2 @ sk_ @ X0 ) ) )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( 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_cl4166,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl7,zip_derived_cl9,zip_derived_cl12]) ).
thf(zip_derived_cl4177,plain,
( ( ( k2_rmod_2 @ sk_ @ sk__1 )
= ( g1_vectsp_2 @ sk_ @ sk__2 @ ( u1_rlvect_1 @ sk__1 ) @ ( u2_struct_0 @ sk__1 ) @ ( u1_vectsp_2 @ sk_ @ sk__1 ) ) )
| ~ ( l1_vectsp_2 @ sk__1 @ sk_ )
| ~ ( v5_vectsp_2 @ sk__1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk__1 )
| ~ ( v5_rlvect_1 @ sk__1 )
| ~ ( v4_rlvect_1 @ sk__1 )
| ~ ( v3_rlvect_1 @ sk__1 )
| ( v3_struct_0 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl4167]) ).
thf(zip_derived_cl17_014,plain,
l1_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
v5_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
v6_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
v5_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
v4_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
v3_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4178,plain,
( ( k2_rmod_2 @ sk_ @ sk__1 )
= ( g1_vectsp_2 @ sk_ @ sk__2 @ ( u1_rlvect_1 @ sk__1 ) @ ( u2_struct_0 @ sk__1 ) @ ( u1_vectsp_2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4177,zip_derived_cl17,zip_derived_cl18,zip_derived_cl20,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).
thf(zip_derived_cl15_015,plain,
( sk__2
= ( u1_struct_0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(abstractness_v3_vectsp_2,axiom,
! [A: $i,B: $i] :
( ( ( l1_struct_0 @ A )
& ( l1_vectsp_2 @ B @ A ) )
=> ( ( v3_vectsp_2 @ B @ A )
=> ( B
= ( g1_vectsp_2 @ A @ ( u1_struct_0 @ B ) @ ( u1_rlvect_1 @ B ) @ ( u2_struct_0 @ B ) @ ( u1_vectsp_2 @ A @ B ) ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_struct_0 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ X0 )
| ( X1
= ( g1_vectsp_2 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_rlvect_1 @ X1 ) @ ( u2_struct_0 @ X1 ) @ ( u1_vectsp_2 @ X0 @ X1 ) ) )
| ~ ( v3_vectsp_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[abstractness_v3_vectsp_2]) ).
thf(zip_derived_cl3761,plain,
! [X0: $i] :
( ~ ( l1_struct_0 @ X0 )
| ~ ( l1_vectsp_2 @ sk__1 @ X0 )
| ( sk__1
= ( g1_vectsp_2 @ X0 @ sk__2 @ ( u1_rlvect_1 @ sk__1 ) @ ( u2_struct_0 @ sk__1 ) @ ( u1_vectsp_2 @ X0 @ sk__1 ) ) )
| ~ ( v3_vectsp_2 @ sk__1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl25]) ).
thf(zip_derived_cl5158,plain,
( ~ ( l1_struct_0 @ sk_ )
| ~ ( l1_vectsp_2 @ sk__1 @ sk_ )
| ( sk__1
= ( k2_rmod_2 @ sk_ @ sk__1 ) )
| ~ ( v3_vectsp_2 @ sk__1 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4178,zip_derived_cl3761]) ).
thf(zip_derived_cl17_016,plain,
l1_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_017,plain,
v3_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5165,plain,
( ~ ( l1_struct_0 @ sk_ )
| ( sk__1
= ( k2_rmod_2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5158,zip_derived_cl17,zip_derived_cl19]) ).
thf(zip_derived_cl5166,plain,
( ~ ( l3_vectsp_1 @ sk_ )
| ( sk__1
= ( k2_rmod_2 @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1891,zip_derived_cl5165]) ).
thf(zip_derived_cl12_018,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5167,plain,
( sk__1
= ( k2_rmod_2 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5166,zip_derived_cl12]) ).
thf(zip_derived_cl8_019,plain,
v7_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_020,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k2_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 ) )
=> ( ( v3_vectsp_2 @ ( k2_rmod_2 @ A @ B ) @ A )
& ( m1_rmod_2 @ ( k2_rmod_2 @ A @ B ) @ A @ B ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $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 )
| ( m1_rmod_2 @ ( k2_rmod_2 @ X0 @ X1 ) @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_k2_rmod_2]) ).
thf(zip_derived_cl2134,plain,
! [X0: $i] :
( ( m1_rmod_2 @ ( k2_rmod_2 @ sk_ @ X0 ) @ sk_ @ X0 )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v7_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( l3_vectsp_1 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl46]) ).
thf(zip_derived_cl2315,plain,
! [X0: $i] :
( ( sk_ != sk_ )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ( 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_ )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ( m1_rmod_2 @ ( k2_rmod_2 @ sk_ @ X0 ) @ sk_ @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl2134]) ).
thf(zip_derived_cl4207,plain,
! [X0: $i] :
( ( m1_rmod_2 @ ( k2_rmod_2 @ sk_ @ X0 ) @ sk_ @ X0 )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ sk_ )
| ~ ( v3_rlvect_1 @ sk_ )
| ~ ( v4_rlvect_1 @ sk_ )
| ~ ( v5_rlvect_1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( l3_vectsp_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl2315]) ).
thf(zip_derived_cl0_021,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_022,plain,
v3_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_023,plain,
v4_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_024,plain,
v5_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_025,plain,
v6_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_026,plain,
v6_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_027,plain,
v8_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_028,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4208,plain,
! [X0: $i] :
( ( m1_rmod_2 @ ( k2_rmod_2 @ sk_ @ X0 ) @ sk_ @ X0 )
| ~ ( l1_vectsp_2 @ X0 @ sk_ )
| ~ ( v5_vectsp_2 @ X0 @ sk_ )
| ~ ( 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_cl4207,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl7,zip_derived_cl9,zip_derived_cl12]) ).
thf(zip_derived_cl5183,plain,
( ( m1_rmod_2 @ sk__1 @ sk_ @ sk__1 )
| ~ ( l1_vectsp_2 @ sk__1 @ sk_ )
| ~ ( v5_vectsp_2 @ sk__1 @ sk_ )
| ~ ( v6_rlvect_1 @ sk__1 )
| ~ ( v5_rlvect_1 @ sk__1 )
| ~ ( v4_rlvect_1 @ sk__1 )
| ~ ( v3_rlvect_1 @ sk__1 )
| ( v3_struct_0 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5167,zip_derived_cl4208]) ).
thf(zip_derived_cl17_029,plain,
l1_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_030,plain,
v5_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_031,plain,
v6_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_032,plain,
v5_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22_033,plain,
v4_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_034,plain,
v3_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24_035,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5185,plain,
m1_rmod_2 @ sk__1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl5183,zip_derived_cl17,zip_derived_cl18,zip_derived_cl20,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).
thf(zip_derived_cl18_036,plain,
v5_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_037,plain,
v6_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_038,plain,
v5_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22_039,plain,
v4_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_040,plain,
v3_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24_041,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21777,plain,
( ( k1_rmod_5 @ sk_ @ sk__1 @ sk__2 )
= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl21739,zip_derived_cl15,zip_derived_cl1814,zip_derived_cl5185,zip_derived_cl18,zip_derived_cl20,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).
thf(zip_derived_cl14,plain,
( ( k1_rmod_5 @ sk_ @ sk__1 @ sk__2 )
!= sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21778,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21777,zip_derived_cl14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG219+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tUPYZu8d9u true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 03:00:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 54.34/8.40 % Solved by fo/fo6_bce.sh.
% 54.34/8.40 % BCE start: 151
% 54.34/8.40 % BCE eliminated: 3
% 54.34/8.40 % PE start: 148
% 54.34/8.40 logic: eq
% 54.34/8.40 % PE eliminated: 8
% 54.34/8.40 % done 3896 iterations in 7.663s
% 54.34/8.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 54.34/8.40 % SZS output start Refutation
% See solution above
% 54.34/8.40
% 54.34/8.40
% 54.34/8.40 % Terminating...
% 54.34/8.49 % Runner terminated.
% 54.34/8.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------