%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG215+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.eQ3VjQ8xS6 true
% Computer : n023.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 04:28:19 PM UTC 2025
% Result : Theorem 4.01s 1.19s
% Output : Refutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 110 ( 88 unt; 0 typ; 0 def)
% Number of atoms : 389 ( 29 equ; 0 cnn)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 1095 ( 186 ~; 182 |; 78 &; 630 @)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 4 con; 0-4 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(v5_rlvect_1_type,type,
v5_rlvect_1: $i > $o ).
thf(k1_rlvect_1_type,type,
k1_rlvect_1: $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
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(m1_rmod_4_type,type,
m1_rmod_4: $i > $i > $i > $o ).
thf(v1_rmod_5_type,type,
v1_rmod_5: $i > $i > $i > $o ).
thf(k5_rmod_4_type,type,
k5_rmod_4: $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(m2_rmod_4_type,type,
m2_rmod_4: $i > $i > $i > $i > $o ).
thf(v8_vectsp_1_type,type,
v8_vectsp_1: $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(v6_vectsp_1_type,type,
v6_vectsp_1: $i > $o ).
thf(k1_subset_1_type,type,
k1_subset_1: $i > $i ).
thf(v4_rlvect_1_type,type,
v4_rlvect_1: $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(v5_vectsp_2_type,type,
v5_vectsp_2: $i > $i > $o ).
thf(k2_rmod_4_type,type,
k2_rmod_4: $i > $i > $i > $i ).
thf(v7_vectsp_1_type,type,
v7_vectsp_1: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(l3_vectsp_1_type,type,
l3_vectsp_1: $i > $o ).
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(t4_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 ) )
=> ( v1_rmod_5 @ ( k1_subset_1 @ ( u1_struct_0 @ B ) ) @ 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 ) )
=> ( v1_rmod_5 @ ( k1_subset_1 @ ( u1_struct_0 @ B ) ) @ A @ B ) ) ),
inference('cnf.neg',[status(esa)],[t4_rmod_5]) ).
thf(zip_derived_cl69,plain,
~ ( v1_rmod_5 @ ( k1_subset_1 @ ( u1_struct_0 @ sk__18 ) ) @ sk__17 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl882,plain,
( ( v3_struct_0 @ sk__17 )
| ~ ( v3_rlvect_1 @ sk__17 )
| ~ ( v4_rlvect_1 @ sk__17 )
| ~ ( v5_rlvect_1 @ sk__17 )
| ~ ( v6_rlvect_1 @ sk__17 )
| ~ ( v4_group_1 @ sk__17 )
| ~ ( v6_vectsp_1 @ sk__17 )
| ~ ( v7_vectsp_1 @ sk__17 )
| ~ ( v8_vectsp_1 @ sk__17 )
| ~ ( l3_vectsp_1 @ sk__17 )
| ~ ( m1_subset_1 @ ( k1_subset_1 @ ( u1_struct_0 @ sk__18 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( m2_rmod_4 @ ( sk_ @ ( k1_subset_1 @ ( u1_struct_0 @ sk__18 ) ) @ sk__18 @ sk__17 ) @ sk__17 @ sk__18 @ ( k1_subset_1 @ ( u1_struct_0 @ sk__18 ) ) )
| ~ ( l1_vectsp_2 @ sk__18 @ sk__17 )
| ~ ( v5_vectsp_2 @ sk__18 @ sk__17 )
| ~ ( v6_rlvect_1 @ sk__18 )
| ~ ( v5_rlvect_1 @ sk__18 )
| ~ ( v4_rlvect_1 @ sk__18 )
| ~ ( v3_rlvect_1 @ sk__18 )
| ( v3_struct_0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl69]) ).
thf(zip_derived_cl59,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
v3_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
v4_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
v5_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
v6_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64,plain,
v4_group_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65,plain,
v6_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
v7_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
v8_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68,plain,
l3_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( v1_xboole_0 @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(dt_k1_subset_1,axiom,
! [A: $i] :
( ( m1_subset_1 @ ( k1_subset_1 @ A ) @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ ( k1_subset_1 @ A ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] : ( v1_xboole_0 @ ( k1_subset_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_subset_1]) ).
thf(zip_derived_cl907,plain,
! [X0: $i] :
( ( k1_subset_1 @ X0 )
= k1_xboole_0 ),
inference('sup+',[status(thm)],[zip_derived_cl56,zip_derived_cl8]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] : ( m1_subset_1 @ ( k1_subset_1 @ X0 ) @ ( k1_zfmisc_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_subset_1]) ).
thf(zip_derived_cl907_001,plain,
! [X0: $i] :
( ( k1_subset_1 @ X0 )
= k1_xboole_0 ),
inference('sup+',[status(thm)],[zip_derived_cl56,zip_derived_cl8]) ).
thf(zip_derived_cl919,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl907]) ).
thf(zip_derived_cl907_002,plain,
! [X0: $i] :
( ( k1_subset_1 @ X0 )
= k1_xboole_0 ),
inference('sup+',[status(thm)],[zip_derived_cl56,zip_derived_cl8]) ).
thf(zip_derived_cl907_003,plain,
! [X0: $i] :
( ( k1_subset_1 @ X0 )
= k1_xboole_0 ),
inference('sup+',[status(thm)],[zip_derived_cl56,zip_derived_cl8]) ).
thf(zip_derived_cl70,plain,
l1_vectsp_2 @ sk__18 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71,plain,
v5_vectsp_2 @ sk__18 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
v6_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73,plain,
v5_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
v4_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75,plain,
v3_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1053,plain,
m2_rmod_4 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) @ sk__17 @ sk__18 @ k1_xboole_0,
inference(demod,[status(thm)],[zip_derived_cl882,zip_derived_cl59,zip_derived_cl60,zip_derived_cl61,zip_derived_cl62,zip_derived_cl63,zip_derived_cl64,zip_derived_cl65,zip_derived_cl66,zip_derived_cl67,zip_derived_cl68,zip_derived_cl907,zip_derived_cl919,zip_derived_cl907,zip_derived_cl907,zip_derived_cl70,zip_derived_cl71,zip_derived_cl72,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75,zip_derived_cl76]) ).
thf(d7_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_rmod_4 @ D @ A @ B )
=> ( ( m2_rmod_4 @ D @ A @ B @ C )
<=> ( r1_tarski @ ( k2_rmod_4 @ A @ B @ D ) @ C ) ) ) ) ) ) ).
thf(zip_derived_cl6,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_rmod_4 @ X2 @ X1 @ X0 )
| ~ ( m2_rmod_4 @ X2 @ X1 @ X0 @ X3 )
| ( r1_tarski @ ( k2_rmod_4 @ X1 @ X0 @ X2 ) @ 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)],[d7_rmod_4]) ).
thf(t3_xboole_1,axiom,
! [A: $i] :
( ( r1_tarski @ A @ k1_xboole_0 )
=> ( A = k1_xboole_0 ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( r1_tarski @ X0 @ k1_xboole_0 ) ),
inference(cnf,[status(esa)],[t3_xboole_1]) ).
thf(zip_derived_cl889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( k2_rmod_4 @ X1 @ X0 @ X2 )
!= X4 )
| ( X3 != k1_xboole_0 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v6_vectsp_1 @ X1 )
| ~ ( v7_vectsp_1 @ X1 )
| ~ ( v8_vectsp_1 @ X1 )
| ~ ( l3_vectsp_1 @ X1 )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( m2_rmod_4 @ X2 @ X1 @ X0 @ X3 )
| ~ ( m1_rmod_4 @ X2 @ X1 @ X0 )
| ~ ( 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 )
| ( X4 = k1_xboole_0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl53]) ).
thf(zip_derived_cl1058,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ( v3_struct_0 @ sk__18 )
| ~ ( v3_rlvect_1 @ sk__18 )
| ~ ( v4_rlvect_1 @ sk__18 )
| ~ ( v5_rlvect_1 @ sk__18 )
| ~ ( v6_rlvect_1 @ sk__18 )
| ~ ( v5_vectsp_2 @ sk__18 @ sk__17 )
| ~ ( l1_vectsp_2 @ sk__18 @ sk__17 )
| ~ ( m1_rmod_4 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) @ sk__17 @ sk__18 )
| ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__18 ) ) )
| ~ ( l3_vectsp_1 @ sk__17 )
| ~ ( v8_vectsp_1 @ sk__17 )
| ~ ( v7_vectsp_1 @ sk__17 )
| ~ ( v6_vectsp_1 @ sk__17 )
| ~ ( v4_group_1 @ sk__17 )
| ~ ( v6_rlvect_1 @ sk__17 )
| ~ ( v5_rlvect_1 @ sk__17 )
| ~ ( v4_rlvect_1 @ sk__17 )
| ~ ( v3_rlvect_1 @ sk__17 )
| ( v3_struct_0 @ sk__17 )
| ( k1_xboole_0 != k1_xboole_0 )
| ( ( k2_rmod_4 @ sk__17 @ sk__18 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1053,zip_derived_cl889]) ).
thf(zip_derived_cl76_004,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_005,plain,
v3_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_006,plain,
v4_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_007,plain,
v5_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72_008,plain,
v6_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_009,plain,
v5_vectsp_2 @ sk__18 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl70_010,plain,
l1_vectsp_2 @ sk__18 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl919_011,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl907]) ).
thf(zip_derived_cl68_012,plain,
l3_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67_013,plain,
v8_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66_014,plain,
v7_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65_015,plain,
v6_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_016,plain,
v4_group_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63_017,plain,
v6_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_018,plain,
v5_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61_019,plain,
v4_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60_020,plain,
v3_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59_021,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1077,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( m1_rmod_4 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) @ sk__17 @ sk__18 )
| ( k1_xboole_0 != k1_xboole_0 )
| ( ( k2_rmod_4 @ sk__17 @ sk__18 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1058,zip_derived_cl76,zip_derived_cl75,zip_derived_cl74,zip_derived_cl73,zip_derived_cl72,zip_derived_cl71,zip_derived_cl70,zip_derived_cl919,zip_derived_cl68,zip_derived_cl67,zip_derived_cl66,zip_derived_cl65,zip_derived_cl64,zip_derived_cl63,zip_derived_cl62,zip_derived_cl61,zip_derived_cl60,zip_derived_cl59]) ).
thf(zip_derived_cl1078,plain,
! [X0: $i] :
( ( ( k2_rmod_4 @ sk__17 @ sk__18 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) )
!= X0 )
| ~ ( m1_rmod_4 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) @ sk__17 @ sk__18 )
| ( X0 = k1_xboole_0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1077]) ).
thf(dt_m2_rmod_4,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 )
& ( 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 )
& ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) ) )
=> ! [D: $i] :
( ( m2_rmod_4 @ D @ A @ B @ C )
=> ( m1_rmod_4 @ D @ A @ B ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $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 )
| ~ ( 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 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_rmod_4 @ X3 @ X1 @ X0 )
| ~ ( m2_rmod_4 @ X3 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[dt_m2_rmod_4]) ).
thf(zip_derived_cl1053_022,plain,
m2_rmod_4 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) @ sk__17 @ sk__18 @ k1_xboole_0,
inference(demod,[status(thm)],[zip_derived_cl882,zip_derived_cl59,zip_derived_cl60,zip_derived_cl61,zip_derived_cl62,zip_derived_cl63,zip_derived_cl64,zip_derived_cl65,zip_derived_cl66,zip_derived_cl67,zip_derived_cl68,zip_derived_cl907,zip_derived_cl919,zip_derived_cl907,zip_derived_cl907,zip_derived_cl70,zip_derived_cl71,zip_derived_cl72,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75,zip_derived_cl76]) ).
thf(zip_derived_cl1059,plain,
( ( m1_rmod_4 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) @ sk__17 @ sk__18 )
| ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( v3_struct_0 @ sk__17 )
| ~ ( v3_rlvect_1 @ sk__17 )
| ~ ( v4_rlvect_1 @ sk__17 )
| ~ ( v5_rlvect_1 @ sk__17 )
| ~ ( v6_rlvect_1 @ sk__17 )
| ~ ( v4_group_1 @ sk__17 )
| ~ ( v6_vectsp_1 @ sk__17 )
| ~ ( v7_vectsp_1 @ sk__17 )
| ~ ( v8_vectsp_1 @ sk__17 )
| ~ ( l3_vectsp_1 @ sk__17 )
| ( v3_struct_0 @ sk__18 )
| ~ ( v3_rlvect_1 @ sk__18 )
| ~ ( v4_rlvect_1 @ sk__18 )
| ~ ( v5_rlvect_1 @ sk__18 )
| ~ ( v6_rlvect_1 @ sk__18 )
| ~ ( v5_vectsp_2 @ sk__18 @ sk__17 )
| ~ ( l1_vectsp_2 @ sk__18 @ sk__17 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl1053]) ).
thf(zip_derived_cl919_023,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl907]) ).
thf(zip_derived_cl59_024,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60_025,plain,
v3_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61_026,plain,
v4_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_027,plain,
v5_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63_028,plain,
v6_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_029,plain,
v4_group_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65_030,plain,
v6_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66_031,plain,
v7_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67_032,plain,
v8_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_033,plain,
l3_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_034,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_035,plain,
v3_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_036,plain,
v4_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_037,plain,
v5_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72_038,plain,
v6_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_039,plain,
v5_vectsp_2 @ sk__18 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl70_040,plain,
l1_vectsp_2 @ sk__18 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1063,plain,
m1_rmod_4 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) @ sk__17 @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl1059,zip_derived_cl919,zip_derived_cl59,zip_derived_cl60,zip_derived_cl61,zip_derived_cl62,zip_derived_cl63,zip_derived_cl64,zip_derived_cl65,zip_derived_cl66,zip_derived_cl67,zip_derived_cl68,zip_derived_cl76,zip_derived_cl75,zip_derived_cl74,zip_derived_cl73,zip_derived_cl72,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl1103,plain,
! [X0: $i] :
( ( ( k2_rmod_4 @ sk__17 @ sk__18 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) )
!= X0 )
| ( X0 = k1_xboole_0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1078,zip_derived_cl1063]) ).
thf(zip_derived_cl1104,plain,
( ( k2_rmod_4 @ sk__17 @ sk__18 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) )
= k1_xboole_0 ),
inference(eq_res,[status(thm)],[zip_derived_cl1103]) ).
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_cl69_041,plain,
~ ( v1_rmod_5 @ ( k1_subset_1 @ ( u1_struct_0 @ sk__18 ) ) @ sk__17 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl880,plain,
( ( v3_struct_0 @ sk__17 )
| ~ ( v3_rlvect_1 @ sk__17 )
| ~ ( v4_rlvect_1 @ sk__17 )
| ~ ( v5_rlvect_1 @ sk__17 )
| ~ ( v6_rlvect_1 @ sk__17 )
| ~ ( v4_group_1 @ sk__17 )
| ~ ( v6_vectsp_1 @ sk__17 )
| ~ ( v7_vectsp_1 @ sk__17 )
| ~ ( v8_vectsp_1 @ sk__17 )
| ~ ( l3_vectsp_1 @ sk__17 )
| ~ ( m1_subset_1 @ ( k1_subset_1 @ ( u1_struct_0 @ sk__18 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__18 ) ) )
| ( ( k2_rmod_4 @ sk__17 @ sk__18 @ ( sk_ @ ( k1_subset_1 @ ( u1_struct_0 @ sk__18 ) ) @ sk__18 @ sk__17 ) )
!= k1_xboole_0 )
| ~ ( l1_vectsp_2 @ sk__18 @ sk__17 )
| ~ ( v5_vectsp_2 @ sk__18 @ sk__17 )
| ~ ( v6_rlvect_1 @ sk__18 )
| ~ ( v5_rlvect_1 @ sk__18 )
| ~ ( v4_rlvect_1 @ sk__18 )
| ~ ( v3_rlvect_1 @ sk__18 )
| ( v3_struct_0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl69]) ).
thf(zip_derived_cl59_042,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60_043,plain,
v3_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61_044,plain,
v4_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_045,plain,
v5_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63_046,plain,
v6_rlvect_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64_047,plain,
v4_group_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65_048,plain,
v6_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66_049,plain,
v7_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67_050,plain,
v8_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68_051,plain,
l3_vectsp_1 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl907_052,plain,
! [X0: $i] :
( ( k1_subset_1 @ X0 )
= k1_xboole_0 ),
inference('sup+',[status(thm)],[zip_derived_cl56,zip_derived_cl8]) ).
thf(zip_derived_cl919_053,plain,
! [X0: $i] : ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl907]) ).
thf(zip_derived_cl907_054,plain,
! [X0: $i] :
( ( k1_subset_1 @ X0 )
= k1_xboole_0 ),
inference('sup+',[status(thm)],[zip_derived_cl56,zip_derived_cl8]) ).
thf(zip_derived_cl70_055,plain,
l1_vectsp_2 @ sk__18 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_056,plain,
v5_vectsp_2 @ sk__18 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72_057,plain,
v6_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_058,plain,
v5_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_059,plain,
v4_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75_060,plain,
v3_rlvect_1 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_061,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1002,plain,
( ( k2_rmod_4 @ sk__17 @ sk__18 @ ( sk_ @ k1_xboole_0 @ sk__18 @ sk__17 ) )
!= k1_xboole_0 ),
inference(demod,[status(thm)],[zip_derived_cl880,zip_derived_cl59,zip_derived_cl60,zip_derived_cl61,zip_derived_cl62,zip_derived_cl63,zip_derived_cl64,zip_derived_cl65,zip_derived_cl66,zip_derived_cl67,zip_derived_cl68,zip_derived_cl907,zip_derived_cl919,zip_derived_cl907,zip_derived_cl70,zip_derived_cl71,zip_derived_cl72,zip_derived_cl73,zip_derived_cl74,zip_derived_cl75,zip_derived_cl76]) ).
thf(zip_derived_cl1105,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1104,zip_derived_cl1002]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG215+1 : TPTP v9.2.0. Released v3.4.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eQ3VjQ8xS6 true
% 0.14/0.34 % Computer : n023.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 : Wed Oct 1 17:04:38 EDT 2025
% 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
% 0.14/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.01/1.19 % Solved by fo/fo3_bce.sh.
% 4.01/1.19 % BCE start: 77
% 4.01/1.19 % BCE eliminated: 4
% 4.01/1.19 % PE start: 73
% 4.01/1.19 logic: eq
% 4.01/1.19 % PE eliminated: -1
% 4.01/1.19 % done 120 iterations in 0.405s
% 4.01/1.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.01/1.19 % SZS output start Refutation
% See solution above
% 4.01/1.19
% 4.01/1.19
% 4.01/1.19 % Terminating...
% 4.53/1.26 % Runner terminated.
% 4.53/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------