%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG216+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.mlYGCJVc7s true
% Computer : n004.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 1.08s 0.86s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 82 ( 50 unt; 0 typ; 0 def)
% Number of atoms : 259 ( 21 equ; 0 cnn)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 782 ( 117 ~; 102 |; 49 &; 488 @)
% ( 0 <=>; 19 =>; 7 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 4 con; 0-3 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(v5_rlvect_1_type,type,
v5_rlvect_1: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v1_rmod_5_type,type,
v1_rmod_5: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $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(k2_group_1_type,type,
k2_group_1: $i > $i ).
thf(l2_vectsp_1_type,type,
l2_vectsp_1: $i > $o ).
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(v3_rlvect_1_type,type,
v3_rlvect_1: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(k8_rlvect_2_type,type,
k8_rlvect_2: $i > $i > $i > $i ).
thf(k1_rlvect_1_type,type,
k1_rlvect_1: $i > $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(l2_struct_0_type,type,
l2_struct_0: $i > $o ).
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(l1_rlvect_1_type,type,
l1_rlvect_1: $i > $o ).
thf(v5_vectsp_2_type,type,
v5_vectsp_2: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(v7_vectsp_1_type,type,
v7_vectsp_1: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(l3_vectsp_1_type,type,
l3_vectsp_1: $i > $o ).
thf(dt_k1_rlvect_1,axiom,
! [A: $i] :
( ( l2_struct_0 @ A )
=> ( m1_subset_1 @ ( k1_rlvect_1 @ A ) @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k1_rlvect_1 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l2_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_rlvect_1]) ).
thf(t6_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 @ ( u1_struct_0 @ B ) )
=> ( ( ( k1_rlvect_1 @ A )
!= ( k2_group_1 @ A ) )
=> ( ~ ( v1_rmod_5 @ ( k8_rlvect_2 @ B @ C @ ( k1_rlvect_1 @ B ) ) @ A @ B )
& ~ ( v1_rmod_5 @ ( k8_rlvect_2 @ B @ ( k1_rlvect_1 @ B ) @ 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 @ ( u1_struct_0 @ B ) )
=> ( ( ( k1_rlvect_1 @ A )
!= ( k2_group_1 @ A ) )
=> ( ~ ( v1_rmod_5 @ ( k8_rlvect_2 @ B @ C @ ( k1_rlvect_1 @ B ) ) @ A @ B )
& ~ ( v1_rmod_5 @ ( k8_rlvect_2 @ B @ ( k1_rlvect_1 @ B ) @ C ) @ A @ B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t6_rmod_5]) ).
thf(zip_derived_cl11,plain,
( ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ sk__2 @ ( k1_rlvect_1 @ sk__1 ) ) @ sk_ @ sk__1 )
| ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
( ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ sk__2 @ ( k1_rlvect_1 @ sk__1 ) ) @ sk_ @ sk__1 )
<= ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ sk__2 @ ( k1_rlvect_1 @ sk__1 ) ) @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl74_001,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k1_rlvect_1 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l2_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_rlvect_1]) ).
thf(zip_derived_cl85,plain,
( ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 )
<= ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(t5_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 @ ( u1_struct_0 @ B ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) )
=> ( ( v1_rmod_5 @ ( k8_rlvect_2 @ B @ C @ D ) @ A @ B )
=> ( ( ( k1_rlvect_1 @ A )
= ( k2_group_1 @ A ) )
| ( ( C
!= ( k1_rlvect_1 @ B ) )
& ( D
!= ( k1_rlvect_1 @ B ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( X3
!= ( k1_rlvect_1 @ X0 ) )
| ~ ( v1_rmod_5 @ ( k8_rlvect_2 @ X0 @ X3 @ X2 ) @ X1 @ X0 )
| ( ( k1_rlvect_1 @ X1 )
= ( k2_group_1 @ X1 ) )
| ~ ( m1_subset_1 @ X3 @ ( 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)],[t5_rmod_5]) ).
thf(zip_derived_cl260,plain,
( ( ( v3_struct_0 @ sk__1 )
| ~ ( v3_rlvect_1 @ sk__1 )
| ~ ( v4_rlvect_1 @ sk__1 )
| ~ ( v5_rlvect_1 @ sk__1 )
| ~ ( v6_rlvect_1 @ sk__1 )
| ~ ( v5_vectsp_2 @ sk__1 @ sk_ )
| ~ ( l1_vectsp_2 @ sk__1 @ sk_ )
| ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk__1 ) )
| ( ( k1_rlvect_1 @ sk__1 )
!= ( k1_rlvect_1 @ sk__1 ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( v7_vectsp_1 @ sk_ )
| ~ ( v6_vectsp_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_ ) )
<= ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl83]) ).
thf(zip_derived_cl19,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
v3_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17,plain,
v4_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
v5_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
v6_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14,plain,
v5_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
l1_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
v8_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
v7_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
v6_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_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_cl268,plain,
( ( ( ( k1_rlvect_1 @ sk__1 )
!= ( k1_rlvect_1 @ sk__1 ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) ) )
<= ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl19,zip_derived_cl18,zip_derived_cl17,zip_derived_cl16,zip_derived_cl15,zip_derived_cl14,zip_derived_cl13,zip_derived_cl10,zip_derived_cl9,zip_derived_cl8,zip_derived_cl7,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl269,plain,
( ( ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) ) )
<= ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl268]) ).
thf(zip_derived_cl12,plain,
( ( k1_rlvect_1 @ sk_ )
!= ( k2_group_1 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl270,plain,
( ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
<= ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl269,zip_derived_cl12]) ).
thf(zip_derived_cl284,plain,
( ~ ( l2_struct_0 @ sk__1 )
<= ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl270]) ).
thf(zip_derived_cl13_002,plain,
l1_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_l1_vectsp_2,axiom,
! [A: $i] :
( ( l1_struct_0 @ A )
=> ! [B: $i] :
( ( l1_vectsp_2 @ B @ A )
=> ( l1_rlvect_1 @ B ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_vectsp_2 @ X0 @ X1 )
| ( l1_rlvect_1 @ X0 )
| ~ ( l1_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_l1_vectsp_2]) ).
thf(zip_derived_cl140,plain,
( ( l1_rlvect_1 @ sk__1 )
| ~ ( l1_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl78]) ).
thf(dt_l3_vectsp_1,axiom,
! [A: $i] :
( ( l3_vectsp_1 @ A )
=> ( ( l1_rlvect_1 @ A )
& ( l2_vectsp_1 @ A ) ) ) ).
thf(zip_derived_cl79,plain,
! [X0: $i] :
( ( l1_rlvect_1 @ X0 )
| ~ ( l3_vectsp_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l3_vectsp_1]) ).
thf(dt_l1_rlvect_1,axiom,
! [A: $i] :
( ( l1_rlvect_1 @ A )
=> ( l2_struct_0 @ A ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( l2_struct_0 @ X0 )
| ~ ( l1_rlvect_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_rlvect_1]) ).
thf(zip_derived_cl114,plain,
! [X0: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ( l2_struct_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl53]) ).
thf(dt_l2_struct_0,axiom,
! [A: $i] :
( ( l2_struct_0 @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l2_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l2_struct_0]) ).
thf(zip_derived_cl120,plain,
! [X0: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl55]) ).
thf(zip_derived_cl9_003,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl123,plain,
l1_struct_0 @ sk_,
inference('s_sup+',[status(thm)],[zip_derived_cl120,zip_derived_cl9]) ).
thf(zip_derived_cl141,plain,
l1_rlvect_1 @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl123]) ).
thf(zip_derived_cl53_004,plain,
! [X0: $i] :
( ( l2_struct_0 @ X0 )
| ~ ( l1_rlvect_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_rlvect_1]) ).
thf(zip_derived_cl142,plain,
l2_struct_0 @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl53]) ).
thf('0',plain,
~ ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl142]) ).
thf('1',plain,
( ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ sk__2 @ ( k1_rlvect_1 @ sk__1 ) ) @ sk_ @ sk__1 )
| ( v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) @ sk_ @ sk__1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf('2',plain,
v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ sk__2 @ ( k1_rlvect_1 @ sk__1 ) ) @ sk_ @ sk__1,
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl290,plain,
v1_rmod_5 @ ( k8_rlvect_2 @ sk__1 @ sk__2 @ ( k1_rlvect_1 @ sk__1 ) ) @ sk_ @ sk__1,
inference(simpl_trail,[status(thm)],[zip_derived_cl86,'2']) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_rlvect_1 @ X0 )
| ~ ( v4_rlvect_1 @ X0 )
| ~ ( v5_rlvect_1 @ X0 )
| ~ ( v6_rlvect_1 @ X0 )
| ~ ( v5_vectsp_2 @ X0 @ X1 )
| ~ ( l1_vectsp_2 @ X0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( X2
!= ( k1_rlvect_1 @ X0 ) )
| ~ ( v1_rmod_5 @ ( k8_rlvect_2 @ X0 @ X3 @ X2 ) @ X1 @ X0 )
| ( ( k1_rlvect_1 @ X1 )
= ( k2_group_1 @ X1 ) )
| ~ ( m1_subset_1 @ X3 @ ( 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)],[t5_rmod_5]) ).
thf(zip_derived_cl327,plain,
( ( v3_struct_0 @ sk__1 )
| ~ ( v3_rlvect_1 @ sk__1 )
| ~ ( v4_rlvect_1 @ sk__1 )
| ~ ( v5_rlvect_1 @ sk__1 )
| ~ ( v6_rlvect_1 @ sk__1 )
| ~ ( v5_vectsp_2 @ sk__1 @ sk_ )
| ~ ( l1_vectsp_2 @ sk__1 @ sk_ )
| ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ( ( k1_rlvect_1 @ sk__1 )
!= ( k1_rlvect_1 @ sk__1 ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk__1 ) )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( v7_vectsp_1 @ sk_ )
| ~ ( v6_vectsp_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('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl84]) ).
thf(zip_derived_cl19_005,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_006,plain,
v3_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_007,plain,
v4_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_008,plain,
v5_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15_009,plain,
v6_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14_010,plain,
v5_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_011,plain,
l1_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_012,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_013,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_014,plain,
v8_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_015,plain,
v7_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_016,plain,
v6_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_017,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_018,plain,
v6_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_019,plain,
v5_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_020,plain,
v4_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_021,plain,
v3_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_022,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl330,plain,
( ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ( ( k1_rlvect_1 @ sk__1 )
!= ( k1_rlvect_1 @ sk__1 ) )
| ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl19,zip_derived_cl18,zip_derived_cl17,zip_derived_cl16,zip_derived_cl15,zip_derived_cl14,zip_derived_cl13,zip_derived_cl10,zip_derived_cl9,zip_derived_cl8,zip_derived_cl7,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl331,plain,
( ( ( k1_rlvect_1 @ sk_ )
= ( k2_group_1 @ sk_ ) )
| ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl12_023,plain,
( ( k1_rlvect_1 @ sk_ )
!= ( k2_group_1 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl332,plain,
~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl331,zip_derived_cl12]) ).
thf(zip_derived_cl334,plain,
~ ( l2_struct_0 @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl332]) ).
thf(zip_derived_cl142_024,plain,
l2_struct_0 @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl53]) ).
thf(zip_derived_cl335,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG216+1 : TPTP v9.2.0. Released v3.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mlYGCJVc7s true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:03:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.62 % Total configuration time : 435
% 0.56/0.62 % Estimated wc time : 1092
% 0.56/0.62 % Estimated cpu time (7 cpus) : 156.0
% 1.01/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.01/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.01/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.01/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.01/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.01/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.01/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.08/0.86 % Solved by fo/fo1_av.sh.
% 1.08/0.86 % done 191 iterations in 0.119s
% 1.08/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.08/0.86 % SZS output start Refutation
% See solution above
% 1.22/0.86
% 1.22/0.86
% 1.22/0.86 % Terminating...
% 1.80/0.94 % Runner terminated.
% 1.80/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------