%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG214+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7czY2XZeF4 true
% Computer : n019.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 04:28:18 PM UTC 2025
% Result : Theorem 0.58s 0.98s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 126 ( 102 unt; 0 typ; 0 def)
% Number of atoms : 510 ( 17 equ; 0 cnn)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1503 ( 286 ~; 300 |; 62 &; 833 @)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(v5_rlvect_1_type,type,
v5_rlvect_1: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(l1_vectsp_2_type,type,
l1_vectsp_2: $i > $i > $o ).
thf(v6_rlvect_1_type,type,
v6_rlvect_1: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(m2_rmod_4_type,type,
m2_rmod_4: $i > $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(v3_rlvect_1_type,type,
v3_rlvect_1: $i > $o ).
thf(v1_rmod_5_type,type,
v1_rmod_5: $i > $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(v8_vectsp_1_type,type,
v8_vectsp_1: $i > $o ).
thf(v6_vectsp_1_type,type,
v6_vectsp_1: $i > $o ).
thf(v4_rlvect_1_type,type,
v4_rlvect_1: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(k2_rmod_4_type,type,
k2_rmod_4: $i > $i > $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(v5_vectsp_2_type,type,
v5_vectsp_2: $i > $i > $o ).
thf(k1_rlvect_1_type,type,
k1_rlvect_1: $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(v7_vectsp_1_type,type,
v7_vectsp_1: $i > $o ).
thf(l3_vectsp_1_type,type,
l3_vectsp_1: $i > $o ).
thf(k5_rmod_4_type,type,
k5_rmod_4: $i > $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(t2_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 )
& ( 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 ) )
=> ! [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 )
& ( v1_rmod_5 @ D @ A @ B ) )
=> ( v1_rmod_5 @ C @ A @ 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 )
& ( 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 ) )
=> ! [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 )
& ( v1_rmod_5 @ D @ A @ B ) )
=> ( v1_rmod_5 @ C @ A @ B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t2_rmod_5]) ).
thf(zip_derived_cl33,plain,
~ ( v1_rmod_5 @ sk__11 @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
l1_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
m1_subset_1 @ sk__11 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_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 )
& ( 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 ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_rmod_5 @ C @ A @ B )
<=> ! [D: $i] :
( ( m2_rmod_4 @ D @ A @ B @ C )
=> ( ( ( k5_rmod_4 @ A @ B @ D )
= ( k1_rlvect_1 @ B ) )
=> ( ( k2_rmod_4 @ A @ B @ D )
= k1_xboole_0 ) ) ) ) ) ) ) ).
thf(zip_derived_cl3,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 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ X1 )
| ( m2_rmod_4 @ ( sk_ @ X2 @ X0 @ X1 ) @ X1 @ X0 @ X2 )
| ( v1_rmod_5 @ X2 @ X1 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ 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)],[d1_rmod_5]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( l3_vectsp_1 @ X0 )
| ( v1_rmod_5 @ sk__11 @ X0 @ sk__10 )
| ( m2_rmod_4 @ ( sk_ @ sk__11 @ sk__10 @ X0 ) @ X0 @ sk__10 @ sk__11 )
| ~ ( l1_vectsp_2 @ sk__10 @ X0 )
| ~ ( v5_vectsp_2 @ sk__10 @ X0 )
| ~ ( v6_rlvect_1 @ sk__10 )
| ~ ( v5_rlvect_1 @ sk__10 )
| ~ ( v4_rlvect_1 @ sk__10 )
| ~ ( v3_rlvect_1 @ sk__10 )
| ( v3_struct_0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl3]) ).
thf(zip_derived_cl39,plain,
v6_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40,plain,
v5_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
v4_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
v3_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
~ ( v3_struct_0 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( l3_vectsp_1 @ X0 )
| ( v1_rmod_5 @ sk__11 @ X0 @ sk__10 )
| ( m2_rmod_4 @ ( sk_ @ sk__11 @ sk__10 @ X0 ) @ X0 @ sk__10 @ sk__11 )
| ~ ( l1_vectsp_2 @ sk__10 @ X0 )
| ~ ( v5_vectsp_2 @ sk__10 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl39,zip_derived_cl40,zip_derived_cl41,zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl96,plain,
( ~ ( v5_vectsp_2 @ sk__10 @ sk__9 )
| ( m2_rmod_4 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) @ sk__9 @ sk__10 @ sk__11 )
| ( v1_rmod_5 @ sk__11 @ sk__9 @ sk__10 )
| ~ ( l3_vectsp_1 @ sk__9 )
| ~ ( v8_vectsp_1 @ sk__9 )
| ~ ( v7_vectsp_1 @ sk__9 )
| ~ ( v6_vectsp_1 @ sk__9 )
| ~ ( v4_group_1 @ sk__9 )
| ~ ( v6_rlvect_1 @ sk__9 )
| ~ ( v5_rlvect_1 @ sk__9 )
| ~ ( v4_rlvect_1 @ sk__9 )
| ~ ( v3_rlvect_1 @ sk__9 )
| ( v3_struct_0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl94]) ).
thf(zip_derived_cl38,plain,
v5_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_001,plain,
~ ( v1_rmod_5 @ sk__11 @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
l3_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
v8_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,plain,
v7_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
v6_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
v4_group_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
v6_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25,plain,
v5_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
v4_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
v3_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
~ ( v3_struct_0 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
m2_rmod_4 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) @ sk__9 @ sk__10 @ sk__11,
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl38,zip_derived_cl33,zip_derived_cl31,zip_derived_cl30,zip_derived_cl29,zip_derived_cl28,zip_derived_cl27,zip_derived_cl26,zip_derived_cl25,zip_derived_cl24,zip_derived_cl23,zip_derived_cl22]) ).
thf(zip_derived_cl32_002,plain,
m1_subset_1 @ sk__11 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
m1_subset_1 @ sk__12 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t25_rmod_4,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 ) )
=> ! [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 ) ) )
=> ! [E: $i] :
( ( m2_rmod_4 @ E @ A @ B @ C )
=> ( ( r1_tarski @ C @ D )
=> ( m2_rmod_4 @ E @ A @ B @ D ) ) ) ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $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 ) ) )
| ~ ( r1_tarski @ X3 @ X2 )
| ( m2_rmod_4 @ X4 @ X1 @ X0 @ X2 )
| ~ ( m2_rmod_4 @ X4 @ X1 @ X0 @ X3 )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ 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)],[t25_rmod_4]) ).
thf(zip_derived_cl85,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 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( l3_vectsp_1 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ) )
| ~ ( m2_rmod_4 @ X2 @ X0 @ sk__10 @ X1 )
| ( m2_rmod_4 @ X2 @ X0 @ sk__10 @ sk__12 )
| ~ ( r1_tarski @ X1 @ sk__12 )
| ~ ( l1_vectsp_2 @ sk__10 @ X0 )
| ~ ( v5_vectsp_2 @ sk__10 @ X0 )
| ~ ( v6_rlvect_1 @ sk__10 )
| ~ ( v5_rlvect_1 @ sk__10 )
| ~ ( v4_rlvect_1 @ sk__10 )
| ~ ( v3_rlvect_1 @ sk__10 )
| ( v3_struct_0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl19]) ).
thf(zip_derived_cl39_003,plain,
v6_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_004,plain,
v5_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41_005,plain,
v4_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_006,plain,
v3_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_007,plain,
~ ( v3_struct_0 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87,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 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( l3_vectsp_1 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ) )
| ~ ( m2_rmod_4 @ X2 @ X0 @ sk__10 @ X1 )
| ( m2_rmod_4 @ X2 @ X0 @ sk__10 @ sk__12 )
| ~ ( r1_tarski @ X1 @ sk__12 )
| ~ ( l1_vectsp_2 @ sk__10 @ X0 )
| ~ ( v5_vectsp_2 @ sk__10 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl39,zip_derived_cl40,zip_derived_cl41,zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl146,plain,
! [X0: $i,X1: $i] :
( ~ ( v5_vectsp_2 @ sk__10 @ X0 )
| ~ ( l1_vectsp_2 @ sk__10 @ X0 )
| ~ ( r1_tarski @ sk__11 @ sk__12 )
| ( m2_rmod_4 @ X1 @ X0 @ sk__10 @ sk__12 )
| ~ ( m2_rmod_4 @ X1 @ X0 @ sk__10 @ sk__11 )
| ~ ( 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 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl87]) ).
thf(zip_derived_cl34,plain,
r1_tarski @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i] :
( ~ ( v5_vectsp_2 @ sk__10 @ X0 )
| ~ ( l1_vectsp_2 @ sk__10 @ X0 )
| ( m2_rmod_4 @ X1 @ X0 @ sk__10 @ sk__12 )
| ~ ( m2_rmod_4 @ X1 @ X0 @ sk__10 @ sk__11 )
| ~ ( 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 ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl34]) ).
thf(zip_derived_cl161,plain,
( ( v3_struct_0 @ sk__9 )
| ~ ( v3_rlvect_1 @ sk__9 )
| ~ ( v4_rlvect_1 @ sk__9 )
| ~ ( v5_rlvect_1 @ sk__9 )
| ~ ( v6_rlvect_1 @ sk__9 )
| ~ ( v4_group_1 @ sk__9 )
| ~ ( v6_vectsp_1 @ sk__9 )
| ~ ( v7_vectsp_1 @ sk__9 )
| ~ ( v8_vectsp_1 @ sk__9 )
| ~ ( l3_vectsp_1 @ sk__9 )
| ( m2_rmod_4 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) @ sk__9 @ sk__10 @ sk__12 )
| ~ ( l1_vectsp_2 @ sk__10 @ sk__9 )
| ~ ( v5_vectsp_2 @ sk__10 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl148]) ).
thf(zip_derived_cl22_008,plain,
~ ( v3_struct_0 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_009,plain,
v3_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24_010,plain,
v4_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25_011,plain,
v5_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_012,plain,
v6_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27_013,plain,
v4_group_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28_014,plain,
v6_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_015,plain,
v7_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30_016,plain,
v8_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31_017,plain,
l3_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37_018,plain,
l1_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38_019,plain,
v5_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl162,plain,
m2_rmod_4 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) @ sk__9 @ sk__10 @ sk__12,
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27,zip_derived_cl28,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31,zip_derived_cl37,zip_derived_cl38]) ).
thf(zip_derived_cl0,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 )
| ~ ( v1_rmod_5 @ X2 @ X1 @ X0 )
| ( ( k5_rmod_4 @ X1 @ X0 @ X3 )
!= ( k1_rlvect_1 @ X0 ) )
| ( ( k2_rmod_4 @ X1 @ X0 @ X3 )
= k1_xboole_0 )
| ~ ( m2_rmod_4 @ X3 @ X1 @ X0 @ X2 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ 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)],[d1_rmod_5]) ).
thf(zip_derived_cl163,plain,
( ( v3_struct_0 @ sk__9 )
| ~ ( v3_rlvect_1 @ sk__9 )
| ~ ( v4_rlvect_1 @ sk__9 )
| ~ ( v5_rlvect_1 @ sk__9 )
| ~ ( v6_rlvect_1 @ sk__9 )
| ~ ( v4_group_1 @ sk__9 )
| ~ ( v6_vectsp_1 @ sk__9 )
| ~ ( v7_vectsp_1 @ sk__9 )
| ~ ( v8_vectsp_1 @ sk__9 )
| ~ ( l3_vectsp_1 @ sk__9 )
| ~ ( m1_subset_1 @ sk__12 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ) )
| ( ( k2_rmod_4 @ sk__9 @ sk__10 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) )
= k1_xboole_0 )
| ( ( k5_rmod_4 @ sk__9 @ sk__10 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) )
!= ( k1_rlvect_1 @ sk__10 ) )
| ~ ( v1_rmod_5 @ sk__12 @ sk__9 @ sk__10 )
| ~ ( l1_vectsp_2 @ sk__10 @ sk__9 )
| ~ ( v5_vectsp_2 @ sk__10 @ sk__9 )
| ~ ( v6_rlvect_1 @ sk__10 )
| ~ ( v5_rlvect_1 @ sk__10 )
| ~ ( v4_rlvect_1 @ sk__10 )
| ~ ( v3_rlvect_1 @ sk__10 )
| ( v3_struct_0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl0]) ).
thf(zip_derived_cl22_020,plain,
~ ( v3_struct_0 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_021,plain,
v3_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24_022,plain,
v4_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25_023,plain,
v5_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_024,plain,
v6_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27_025,plain,
v4_group_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28_026,plain,
v6_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_027,plain,
v7_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30_028,plain,
v8_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31_029,plain,
l3_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_030,plain,
m1_subset_1 @ sk__12 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37_031,plain,
l1_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32_032,plain,
m1_subset_1 @ sk__11 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,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 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ X1 )
| ( ( k5_rmod_4 @ X1 @ X0 @ ( sk_ @ X2 @ X0 @ X1 ) )
= ( k1_rlvect_1 @ X0 ) )
| ( v1_rmod_5 @ X2 @ X1 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ 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)],[d1_rmod_5]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( l3_vectsp_1 @ X0 )
| ( v1_rmod_5 @ sk__11 @ X0 @ sk__10 )
| ( ( k5_rmod_4 @ X0 @ sk__10 @ ( sk_ @ sk__11 @ sk__10 @ X0 ) )
= ( k1_rlvect_1 @ sk__10 ) )
| ~ ( l1_vectsp_2 @ sk__10 @ X0 )
| ~ ( v5_vectsp_2 @ sk__10 @ X0 )
| ~ ( v6_rlvect_1 @ sk__10 )
| ~ ( v5_rlvect_1 @ sk__10 )
| ~ ( v4_rlvect_1 @ sk__10 )
| ~ ( v3_rlvect_1 @ sk__10 )
| ( v3_struct_0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl1]) ).
thf(zip_derived_cl39_033,plain,
v6_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_034,plain,
v5_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41_035,plain,
v4_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_036,plain,
v3_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_037,plain,
~ ( v3_struct_0 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v6_vectsp_1 @ X0 )
| ~ ( v7_vectsp_1 @ X0 )
| ~ ( v8_vectsp_1 @ X0 )
| ~ ( l3_vectsp_1 @ X0 )
| ( v1_rmod_5 @ sk__11 @ X0 @ sk__10 )
| ( ( k5_rmod_4 @ X0 @ sk__10 @ ( sk_ @ sk__11 @ sk__10 @ X0 ) )
= ( k1_rlvect_1 @ sk__10 ) )
| ~ ( l1_vectsp_2 @ sk__10 @ X0 )
| ~ ( v5_vectsp_2 @ sk__10 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl39,zip_derived_cl40,zip_derived_cl41,zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl76,plain,
( ~ ( v5_vectsp_2 @ sk__10 @ sk__9 )
| ( ( k5_rmod_4 @ sk__9 @ sk__10 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) )
= ( k1_rlvect_1 @ sk__10 ) )
| ( v1_rmod_5 @ sk__11 @ sk__9 @ sk__10 )
| ~ ( l3_vectsp_1 @ sk__9 )
| ~ ( v8_vectsp_1 @ sk__9 )
| ~ ( v7_vectsp_1 @ sk__9 )
| ~ ( v6_vectsp_1 @ sk__9 )
| ~ ( v4_group_1 @ sk__9 )
| ~ ( v6_rlvect_1 @ sk__9 )
| ~ ( v5_rlvect_1 @ sk__9 )
| ~ ( v4_rlvect_1 @ sk__9 )
| ~ ( v3_rlvect_1 @ sk__9 )
| ( v3_struct_0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl53]) ).
thf(zip_derived_cl38_038,plain,
v5_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_039,plain,
~ ( v1_rmod_5 @ sk__11 @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31_040,plain,
l3_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30_041,plain,
v8_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_042,plain,
v7_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28_043,plain,
v6_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27_044,plain,
v4_group_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_045,plain,
v6_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25_046,plain,
v5_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24_047,plain,
v4_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_048,plain,
v3_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22_049,plain,
~ ( v3_struct_0 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77,plain,
( ( k5_rmod_4 @ sk__9 @ sk__10 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) )
= ( k1_rlvect_1 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl38,zip_derived_cl33,zip_derived_cl31,zip_derived_cl30,zip_derived_cl29,zip_derived_cl28,zip_derived_cl27,zip_derived_cl26,zip_derived_cl25,zip_derived_cl24,zip_derived_cl23,zip_derived_cl22]) ).
thf(zip_derived_cl35,plain,
v1_rmod_5 @ sk__12 @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37_050,plain,
l1_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38_051,plain,
v5_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_052,plain,
v6_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_053,plain,
v5_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41_054,plain,
v4_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_055,plain,
v3_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_056,plain,
~ ( v3_struct_0 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl165,plain,
( ( ( k2_rmod_4 @ sk__9 @ sk__10 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) )
= k1_xboole_0 )
| ( ( k1_rlvect_1 @ sk__10 )
!= ( k1_rlvect_1 @ sk__10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27,zip_derived_cl28,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31,zip_derived_cl36,zip_derived_cl77,zip_derived_cl35,zip_derived_cl37,zip_derived_cl38,zip_derived_cl39,zip_derived_cl40,zip_derived_cl41,zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl166,plain,
( ( k2_rmod_4 @ sk__9 @ sk__10 @ ( sk_ @ sk__11 @ sk__10 @ sk__9 ) )
= k1_xboole_0 ),
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl2,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 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ X1 )
| ( ( k2_rmod_4 @ X1 @ X0 @ ( sk_ @ X2 @ X0 @ X1 ) )
!= k1_xboole_0 )
| ( v1_rmod_5 @ X2 @ X1 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ 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)],[d1_rmod_5]) ).
thf(zip_derived_cl168,plain,
( ( k1_xboole_0 != k1_xboole_0 )
| ( v3_struct_0 @ sk__9 )
| ~ ( v3_rlvect_1 @ sk__9 )
| ~ ( v4_rlvect_1 @ sk__9 )
| ~ ( v5_rlvect_1 @ sk__9 )
| ~ ( v6_rlvect_1 @ sk__9 )
| ~ ( v4_group_1 @ sk__9 )
| ~ ( v6_vectsp_1 @ sk__9 )
| ~ ( v7_vectsp_1 @ sk__9 )
| ~ ( v8_vectsp_1 @ sk__9 )
| ~ ( l3_vectsp_1 @ sk__9 )
| ~ ( m1_subset_1 @ sk__11 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ) )
| ( v1_rmod_5 @ sk__11 @ sk__9 @ sk__10 )
| ~ ( l1_vectsp_2 @ sk__10 @ sk__9 )
| ~ ( v5_vectsp_2 @ sk__10 @ sk__9 )
| ~ ( v6_rlvect_1 @ sk__10 )
| ~ ( v5_rlvect_1 @ sk__10 )
| ~ ( v4_rlvect_1 @ sk__10 )
| ~ ( v3_rlvect_1 @ sk__10 )
| ( v3_struct_0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl2]) ).
thf(zip_derived_cl22_057,plain,
~ ( v3_struct_0 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_058,plain,
v3_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24_059,plain,
v4_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25_060,plain,
v5_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_061,plain,
v6_rlvect_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27_062,plain,
v4_group_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28_063,plain,
v6_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_064,plain,
v7_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30_065,plain,
v8_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31_066,plain,
l3_vectsp_1 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32_067,plain,
m1_subset_1 @ sk__11 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37_068,plain,
l1_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38_069,plain,
v5_vectsp_2 @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_070,plain,
v6_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl40_071,plain,
v5_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41_072,plain,
v4_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_073,plain,
v3_rlvect_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_074,plain,
~ ( v3_struct_0 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl169,plain,
( ( k1_xboole_0 != k1_xboole_0 )
| ( v1_rmod_5 @ sk__11 @ sk__9 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27,zip_derived_cl28,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31,zip_derived_cl32,zip_derived_cl37,zip_derived_cl38,zip_derived_cl39,zip_derived_cl40,zip_derived_cl41,zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl170,plain,
v1_rmod_5 @ sk__11 @ sk__9 @ sk__10,
inference(simplify,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl171,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG214+1 : TPTP v9.2.0. Released v3.4.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7czY2XZeF4 true
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:03:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.57/0.67 % Total configuration time : 435
% 0.57/0.67 % Estimated wc time : 1092
% 0.57/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.98 % Solved by fo/fo4.sh.
% 0.58/0.98 % done 91 iterations in 0.130s
% 0.58/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.98 % SZS output start Refutation
% See solution above
% 0.58/0.98
% 0.58/0.98
% 0.58/0.98 % Terminating...
% 1.75/1.07 % Runner terminated.
% 1.75/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------