%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG218+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.aIVI0DmfAD true
% Computer : n015.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 176.40s 25.87s
% Output : Refutation 176.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 22
% Syntax : Number of formulae : 230 ( 74 unt; 0 typ; 0 def)
% Number of atoms : 928 ( 105 equ; 0 cnn)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 2729 ( 506 ~; 585 |; 82 &;1525 @)
% ( 6 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 41 ( 39 usr; 5 con; 0-3 aty)
% Number of variables : 272 ( 0 ^; 271 !; 1 ?; 272 :)
% Comments :
%------------------------------------------------------------------------------
thf(v5_rlvect_1_type,type,
v5_rlvect_1: $i > $o ).
thf(l1_rlvect_1_type,type,
l1_rlvect_1: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $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(v5_vectsp_2_type,type,
v5_vectsp_2: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(v3_rlvect_1_type,type,
v3_rlvect_1: $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(l1_vectsp_2_type,type,
l1_vectsp_2: $i > $i > $o ).
thf(v7_vectsp_1_type,type,
v7_vectsp_1: $i > $o ).
thf(k7_rlvect_2_type,type,
k7_rlvect_2: $i > $i > $i ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(l2_vectsp_1_type,type,
l2_vectsp_1: $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(l1_vectsp_1_type,type,
l1_vectsp_1: $i > $o ).
thf(k1_rmod_5_type,type,
k1_rmod_5: $i > $i > $i > $i ).
thf(v7_group_1_type,type,
v7_group_1: $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(l3_vectsp_1_type,type,
l3_vectsp_1: $i > $o ).
thf(v4_rlvect_1_type,type,
v4_rlvect_1: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(l1_group_1_type,type,
l1_group_1: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(k1_rlvect_1_type,type,
k1_rlvect_1: $i > $i ).
thf(v2_vectsp_2_type,type,
v2_vectsp_2: $i > $o ).
thf(k1_rmod_2_type,type,
k1_rmod_2: $i > $i > $i ).
thf(v10_vectsp_1_type,type,
v10_vectsp_1: $i > $o ).
thf(r1_rlvect_1_type,type,
r1_rlvect_1: $i > $i > $o ).
thf(l2_struct_0_type,type,
l2_struct_0: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(k1_tarski_type,type,
k1_tarski: $i > $i ).
thf(v6_vectsp_1_type,type,
v6_vectsp_1: $i > $o ).
thf(v8_vectsp_1_type,type,
v8_vectsp_1: $i > $o ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( r1_tarski @ A @ B )
<=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( r2_hidden @ C @ B ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( k1_tarski @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( k1_tarski @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl2085,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( r2_hidden @ X0 @ ( k1_tarski @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl2103,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ ( k1_tarski @ X0 ) @ X1 )
| ( ( sk__4 @ X1 @ ( k1_tarski @ X0 ) )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2085]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl28545,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ ( k1_tarski @ X0 ) @ X1 )
| ( r1_tarski @ ( k1_tarski @ X0 ) @ X1 )
| ~ ( r2_hidden @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2103,zip_derived_cl43]) ).
thf(zip_derived_cl28568,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ( r1_tarski @ ( k1_tarski @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl28545]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( r2_hidden @ X1 @ X2 )
| ( X2
!= ( k1_tarski @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl2083,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( k1_tarski @ X1 ) )
| ( r2_hidden @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl2084,plain,
! [X0: $i] : ( r2_hidden @ X0 @ ( k1_tarski @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2083]) ).
thf(zip_derived_cl44_001,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t12_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 )
& ( v5_vectsp_2 @ B @ A )
& ( l1_vectsp_2 @ B @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
=> ~ ( ( ( k1_rmod_5 @ A @ B @ C )
= ( k1_rmod_2 @ A @ B ) )
& ( C != k1_xboole_0 )
& ( C
!= ( k7_rlvect_2 @ B @ ( k1_rlvect_1 @ 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 )
& ( v5_vectsp_2 @ B @ A )
& ( l1_vectsp_2 @ B @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) )
=> ~ ( ( ( k1_rmod_5 @ A @ B @ C )
= ( k1_rmod_2 @ A @ B ) )
& ( C != k1_xboole_0 )
& ( C
!= ( k7_rlvect_2 @ B @ ( k1_rlvect_1 @ B ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t12_rmod_5]) ).
thf(zip_derived_cl13,plain,
m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__1 ) ),
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_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(t10_rmod_5,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_rlvect_1 @ B )
& ( v4_rlvect_1 @ B )
& ( v5_rlvect_1 @ B )
& ( v6_rlvect_1 @ B )
& ( v4_group_1 @ B )
& ( v7_group_1 @ B )
& ( v6_vectsp_1 @ B )
& ( v7_vectsp_1 @ B )
& ( v8_vectsp_1 @ B )
& ~ ( v10_vectsp_1 @ B )
& ( v2_vectsp_2 @ B )
& ( l3_vectsp_1 @ B ) )
=> ! [C: $i] :
( ( ~ ( v3_struct_0 @ C )
& ( v3_rlvect_1 @ C )
& ( v4_rlvect_1 @ C )
& ( v5_rlvect_1 @ C )
& ( v6_rlvect_1 @ C )
& ( v5_vectsp_2 @ C @ B )
& ( l1_vectsp_2 @ C @ B ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ C ) ) )
=> ( ( r2_hidden @ A @ D )
=> ( r1_rlvect_1 @ ( k1_rmod_5 @ B @ C @ D ) @ A ) ) ) ) ) ).
thf(zip_derived_cl156,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 )
| ~ ( r2_hidden @ X2 @ X3 )
| ( r1_rlvect_1 @ ( k1_rmod_5 @ X1 @ X0 @ X3 ) @ X2 )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l3_vectsp_1 @ X1 )
| ~ ( v2_vectsp_2 @ X1 )
| ( v10_vectsp_1 @ X1 )
| ~ ( v8_vectsp_1 @ X1 )
| ~ ( v7_vectsp_1 @ X1 )
| ~ ( v6_vectsp_1 @ X1 )
| ~ ( v7_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t10_rmod_5]) ).
thf(t46_rmod_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_rlvect_1 @ B )
& ( v4_rlvect_1 @ B )
& ( v5_rlvect_1 @ B )
& ( v6_rlvect_1 @ B )
& ( v4_group_1 @ B )
& ( v6_vectsp_1 @ B )
& ( v7_vectsp_1 @ B )
& ( v8_vectsp_1 @ B )
& ( l3_vectsp_1 @ B ) )
=> ! [C: $i] :
( ( ~ ( v3_struct_0 @ C )
& ( v3_rlvect_1 @ C )
& ( v4_rlvect_1 @ C )
& ( v5_rlvect_1 @ C )
& ( v6_rlvect_1 @ C )
& ( v5_vectsp_2 @ C @ B )
& ( l1_vectsp_2 @ C @ B ) )
=> ( ( r1_rlvect_1 @ ( k1_rmod_2 @ B @ C ) @ A )
<=> ( A
= ( k1_rlvect_1 @ C ) ) ) ) ) ).
thf(zip_derived_cl161,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 )
| ~ ( r1_rlvect_1 @ ( k1_rmod_2 @ X1 @ X0 ) @ X2 )
| ( X2
= ( k1_rlvect_1 @ 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)],[t46_rmod_2]) ).
thf(zip_derived_cl1939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ( k1_rmod_5 @ X1 @ X0 @ X2 )
!= ( k1_rmod_2 @ X5 @ X4 ) )
| ( X3 != X6 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v7_group_1 @ X1 )
| ~ ( v6_vectsp_1 @ X1 )
| ~ ( v7_vectsp_1 @ X1 )
| ~ ( v8_vectsp_1 @ X1 )
| ( v10_vectsp_1 @ X1 )
| ~ ( v2_vectsp_2 @ X1 )
| ~ ( l3_vectsp_1 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( r2_hidden @ X3 @ X2 )
| ~ ( 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 )
| ( v3_struct_0 @ X5 )
| ~ ( v3_rlvect_1 @ X5 )
| ~ ( v4_rlvect_1 @ X5 )
| ~ ( v5_rlvect_1 @ X5 )
| ~ ( v6_rlvect_1 @ X5 )
| ~ ( v4_group_1 @ X5 )
| ~ ( v6_vectsp_1 @ X5 )
| ~ ( v7_vectsp_1 @ X5 )
| ~ ( v8_vectsp_1 @ X5 )
| ~ ( l3_vectsp_1 @ X5 )
| ( X6
= ( k1_rlvect_1 @ X4 ) )
| ~ ( l1_vectsp_2 @ X4 @ X5 )
| ~ ( v5_vectsp_2 @ X4 @ X5 )
| ~ ( v6_rlvect_1 @ X4 )
| ~ ( v5_rlvect_1 @ X4 )
| ~ ( v4_rlvect_1 @ X4 )
| ~ ( v3_rlvect_1 @ X4 )
| ( v3_struct_0 @ X4 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl156,zip_derived_cl161]) ).
thf(zip_derived_cl10,plain,
~ ( v10_vectsp_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( v3_struct_0 @ X2 )
| ~ ( v3_rlvect_1 @ X2 )
| ~ ( v4_rlvect_1 @ X2 )
| ~ ( v5_rlvect_1 @ X2 )
| ~ ( v6_rlvect_1 @ X2 )
| ~ ( v5_vectsp_2 @ X2 @ X3 )
| ~ ( l1_vectsp_2 @ X2 @ X3 )
| ( X5
= ( k1_rlvect_1 @ X2 ) )
| ~ ( l3_vectsp_1 @ X3 )
| ~ ( v8_vectsp_1 @ X3 )
| ~ ( v7_vectsp_1 @ X3 )
| ~ ( v6_vectsp_1 @ X3 )
| ~ ( v4_group_1 @ X3 )
| ~ ( v6_rlvect_1 @ X3 )
| ~ ( v5_rlvect_1 @ X3 )
| ~ ( v4_rlvect_1 @ X3 )
| ~ ( v3_rlvect_1 @ X3 )
| ( v3_struct_0 @ X3 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_vectsp_2 @ X1 @ sk_ )
| ~ ( l1_vectsp_2 @ X1 @ sk_ )
| ~ ( r2_hidden @ X4 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( v2_vectsp_2 @ 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_ )
| ( X4 != X5 )
| ( ( k1_rmod_5 @ sk_ @ X1 @ X0 )
!= ( k1_rmod_2 @ X3 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1939,zip_derived_cl10]) ).
thf(zip_derived_cl1958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sk_ != sk_ )
| ( ( k1_rmod_5 @ sk_ @ X3 @ X4 )
!= ( k1_rmod_2 @ X1 @ X0 ) )
| ( X5 != X2 )
| ( 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_ )
| ~ ( l3_vectsp_1 @ sk_ )
| ~ ( m1_subset_1 @ X4 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X3 ) ) )
| ~ ( r2_hidden @ X5 @ X4 )
| ~ ( l1_vectsp_2 @ X3 @ sk_ )
| ~ ( v5_vectsp_2 @ X3 @ sk_ )
| ~ ( v6_rlvect_1 @ X3 )
| ~ ( v5_rlvect_1 @ X3 )
| ~ ( v4_rlvect_1 @ X3 )
| ~ ( v3_rlvect_1 @ X3 )
| ( v3_struct_0 @ X3 )
| ( 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 )
| ( X2
= ( k1_rlvect_1 @ 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 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl1949]) ).
thf(zip_derived_cl2024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sk_ != sk_ )
| ( v3_struct_0 @ X2 )
| ~ ( v3_rlvect_1 @ X2 )
| ~ ( v4_rlvect_1 @ X2 )
| ~ ( v5_rlvect_1 @ X2 )
| ~ ( v6_rlvect_1 @ X2 )
| ~ ( v5_vectsp_2 @ X2 @ X3 )
| ~ ( l1_vectsp_2 @ X2 @ X3 )
| ( X5
= ( k1_rlvect_1 @ X2 ) )
| ~ ( l3_vectsp_1 @ X3 )
| ~ ( v8_vectsp_1 @ X3 )
| ~ ( v7_vectsp_1 @ X3 )
| ~ ( v6_vectsp_1 @ X3 )
| ~ ( v4_group_1 @ X3 )
| ~ ( v6_rlvect_1 @ X3 )
| ~ ( v5_rlvect_1 @ X3 )
| ~ ( v4_rlvect_1 @ X3 )
| ~ ( v3_rlvect_1 @ X3 )
| ( v3_struct_0 @ X3 )
| ( v3_struct_0 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_vectsp_2 @ X1 @ sk_ )
| ~ ( l1_vectsp_2 @ X1 @ sk_ )
| ~ ( r2_hidden @ X4 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( 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_ )
| ( X4 != X5 )
| ( ( k1_rmod_5 @ sk_ @ X1 @ X0 )
!= ( k1_rmod_2 @ X3 @ X2 ) )
| ( sk_ != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl1958]) ).
thf(zip_derived_cl3120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( k1_rmod_5 @ sk_ @ X1 @ X0 )
!= ( k1_rmod_2 @ X3 @ X2 ) )
| ( X4 != X5 )
| ( 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 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( r2_hidden @ X4 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ sk_ )
| ~ ( v5_vectsp_2 @ X1 @ sk_ )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 )
| ( v3_struct_0 @ X3 )
| ~ ( v3_rlvect_1 @ X3 )
| ~ ( v4_rlvect_1 @ X3 )
| ~ ( v5_rlvect_1 @ X3 )
| ~ ( v6_rlvect_1 @ X3 )
| ~ ( v4_group_1 @ X3 )
| ~ ( v6_vectsp_1 @ X3 )
| ~ ( v7_vectsp_1 @ X3 )
| ~ ( v8_vectsp_1 @ X3 )
| ~ ( l3_vectsp_1 @ X3 )
| ( X5
= ( k1_rlvect_1 @ X2 ) )
| ~ ( l1_vectsp_2 @ X2 @ X3 )
| ~ ( v5_vectsp_2 @ X2 @ X3 )
| ~ ( v6_rlvect_1 @ X2 )
| ~ ( v5_rlvect_1 @ X2 )
| ~ ( v4_rlvect_1 @ X2 )
| ~ ( v3_rlvect_1 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2024]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ 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_cl2,plain,
v4_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_cl4,plain,
v6_rlvect_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_cl7,plain,
v6_vectsp_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_cl9,plain,
v8_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( k1_rmod_5 @ sk_ @ X1 @ X0 )
!= ( k1_rmod_2 @ X3 @ X2 ) )
| ( X4 != X5 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( r2_hidden @ X4 @ X0 )
| ~ ( l1_vectsp_2 @ X1 @ sk_ )
| ~ ( v5_vectsp_2 @ X1 @ sk_ )
| ~ ( v6_rlvect_1 @ X1 )
| ~ ( v5_rlvect_1 @ X1 )
| ~ ( v4_rlvect_1 @ X1 )
| ~ ( v3_rlvect_1 @ X1 )
| ( v3_struct_0 @ X1 )
| ( v3_struct_0 @ X3 )
| ~ ( v3_rlvect_1 @ X3 )
| ~ ( v4_rlvect_1 @ X3 )
| ~ ( v5_rlvect_1 @ X3 )
| ~ ( v6_rlvect_1 @ X3 )
| ~ ( v4_group_1 @ X3 )
| ~ ( v6_vectsp_1 @ X3 )
| ~ ( v7_vectsp_1 @ X3 )
| ~ ( v8_vectsp_1 @ X3 )
| ~ ( l3_vectsp_1 @ X3 )
| ( X5
= ( k1_rlvect_1 @ X2 ) )
| ~ ( l1_vectsp_2 @ X2 @ X3 )
| ~ ( v5_vectsp_2 @ X2 @ X3 )
| ~ ( v6_rlvect_1 @ X2 )
| ~ ( v5_rlvect_1 @ X2 )
| ~ ( v4_rlvect_1 @ X2 )
| ~ ( v3_rlvect_1 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl3120,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl5,zip_derived_cl7,zip_derived_cl8,zip_derived_cl9,zip_derived_cl12]) ).
thf(zip_derived_cl3122,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 )
| ( X2
= ( k1_rlvect_1 @ 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 )
| ( v3_struct_0 @ X3 )
| ~ ( v3_rlvect_1 @ X3 )
| ~ ( v4_rlvect_1 @ X3 )
| ~ ( v5_rlvect_1 @ X3 )
| ~ ( v6_rlvect_1 @ X3 )
| ~ ( v5_vectsp_2 @ X3 @ sk_ )
| ~ ( l1_vectsp_2 @ X3 @ sk_ )
| ~ ( r2_hidden @ X2 @ X4 )
| ~ ( m1_subset_1 @ X4 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X3 ) ) )
| ( ( k1_rmod_5 @ sk_ @ X3 @ X4 )
!= ( k1_rmod_2 @ X1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3121]) ).
thf(zip_derived_cl3593,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 )
| ( X2
= ( k1_rlvect_1 @ 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 )
| ( 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 )
| ~ ( l1_vectsp_2 @ sk__1 @ sk_ )
| ~ ( r2_hidden @ X2 @ X3 )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__1 ) ) )
| ( ( k1_rmod_5 @ sk_ @ sk__1 @ X3 )
!= ( k1_rmod_2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl3122]) ).
thf(zip_derived_cl23,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
v3_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
v4_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
v5_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
v6_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17,plain,
l1_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3597,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 )
| ( X2
= ( k1_rlvect_1 @ 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 )
| ~ ( r2_hidden @ X2 @ X3 )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__1 ) ) )
| ( ( k1_rmod_5 @ sk_ @ sk__1 @ X3 )
!= ( k1_rmod_2 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3593,zip_derived_cl23,zip_derived_cl22,zip_derived_cl21,zip_derived_cl20,zip_derived_cl19,zip_derived_cl17]) ).
thf(zip_derived_cl4873,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 )
| ( X2
= ( k1_rlvect_1 @ 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 )
| ~ ( r2_hidden @ X2 @ sk__2 )
| ( ( k1_rmod_5 @ sk_ @ sk__1 @ sk__2 )
!= ( k1_rmod_2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3597]) ).
thf(zip_derived_cl14,plain,
( ( k1_rmod_5 @ sk_ @ sk__1 @ sk__2 )
= ( k1_rmod_2 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4881,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 )
| ( X2
= ( k1_rlvect_1 @ 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 )
| ~ ( r2_hidden @ X2 @ sk__2 )
| ( ( k1_rmod_2 @ sk_ @ sk__1 )
!= ( k1_rmod_2 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4873,zip_derived_cl14]) ).
thf(zip_derived_cl4932,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r1_tarski @ sk__2 @ 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 @ X2 )
| ~ ( l1_vectsp_2 @ X1 @ X2 )
| ( ( sk__4 @ X0 @ sk__2 )
= ( k1_rlvect_1 @ X1 ) )
| ~ ( l3_vectsp_1 @ X2 )
| ~ ( v8_vectsp_1 @ X2 )
| ~ ( v7_vectsp_1 @ X2 )
| ~ ( v6_vectsp_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( v6_rlvect_1 @ X2 )
| ~ ( v5_rlvect_1 @ X2 )
| ~ ( v4_rlvect_1 @ X2 )
| ~ ( v3_rlvect_1 @ X2 )
| ( v3_struct_0 @ X2 )
| ( ( k1_rmod_2 @ sk_ @ sk__1 )
!= ( k1_rmod_2 @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl4881]) ).
thf(zip_derived_cl12342,plain,
! [X0: $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_ )
| ~ ( v6_vectsp_1 @ sk_ )
| ~ ( v7_vectsp_1 @ sk_ )
| ~ ( v8_vectsp_1 @ sk_ )
| ~ ( l3_vectsp_1 @ sk_ )
| ( ( sk__4 @ X0 @ sk__2 )
= ( k1_rlvect_1 @ 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 )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4932]) ).
thf(zip_derived_cl0_002,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_003,plain,
v3_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_004,plain,
v4_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_005,plain,
v5_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_006,plain,
v6_rlvect_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_007,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_008,plain,
v6_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_009,plain,
v7_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_010,plain,
v8_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_011,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_012,plain,
l1_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_013,plain,
v5_vectsp_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_014,plain,
v6_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_015,plain,
v5_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_016,plain,
v4_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22_017,plain,
v3_rlvect_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_018,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12343,plain,
! [X0: $i] :
( ( ( sk__4 @ X0 @ sk__2 )
= ( k1_rlvect_1 @ sk__1 ) )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12342,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl5,zip_derived_cl7,zip_derived_cl8,zip_derived_cl9,zip_derived_cl12,zip_derived_cl17,zip_derived_cl18,zip_derived_cl19,zip_derived_cl20,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23]) ).
thf(zip_derived_cl43_019,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl12352,plain,
! [X0: $i] :
( ( r1_tarski @ sk__2 @ X0 )
| ( r1_tarski @ sk__2 @ X0 )
| ~ ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12343,zip_derived_cl43]) ).
thf(zip_derived_cl12373,plain,
! [X0: $i] :
( ~ ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ X0 )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12352]) ).
thf(zip_derived_cl12403,plain,
r1_tarski @ sk__2 @ ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2084,zip_derived_cl12373]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( r1_tarski @ A @ B )
& ( r1_tarski @ B @ A ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( r1_tarski @ X0 @ X1 )
| ~ ( r1_tarski @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl12407,plain,
( ( ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) )
= sk__2 )
| ~ ( r1_tarski @ ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) ) @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12403,zip_derived_cl37]) ).
thf(zip_derived_cl28631,plain,
( ~ ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ( ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) )
= sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28568,zip_derived_cl12407]) ).
thf(zip_derived_cl12343_020,plain,
! [X0: $i] :
( ( ( sk__4 @ X0 @ sk__2 )
= ( k1_rlvect_1 @ sk__1 ) )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12342,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl5,zip_derived_cl7,zip_derived_cl8,zip_derived_cl9,zip_derived_cl12,zip_derived_cl17,zip_derived_cl18,zip_derived_cl19,zip_derived_cl20,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23]) ).
thf(zip_derived_cl44_021,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl12353,plain,
! [X0: $i] :
( ( r1_tarski @ sk__2 @ X0 )
| ( r1_tarski @ sk__2 @ X0 )
| ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12343,zip_derived_cl44]) ).
thf(zip_derived_cl12374,plain,
! [X0: $i] :
( ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12353]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( m1_subset_1 @ B @ A ) ).
thf(zip_derived_cl96,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__15 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) )
<=> ( r1_tarski @ A @ B ) ) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl2119,plain,
! [X0: $i] : ( r1_tarski @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl159]) ).
thf(zip_derived_cl37_022,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( r1_tarski @ X0 @ X1 )
| ~ ( r1_tarski @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl2159,plain,
! [X0: $i] :
( ( X0
= ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ~ ( r1_tarski @ X0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2119,zip_derived_cl37]) ).
thf(zip_derived_cl26222,plain,
( ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ( sk__2
= ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12374,zip_derived_cl2159]) ).
thf(zip_derived_cl96_023,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__15 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ X0 @ X1 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl96_024,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__15 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
| ( m1_subset_1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl2245,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X1 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( m1_subset_1 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl163]) ).
thf(zip_derived_cl2568,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( m1_subset_1 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl2245]) ).
thf(zip_derived_cl7472,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( m1_subset_1 @ ( sk__15 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl2568]) ).
thf(zip_derived_cl158_025,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ X0 @ X1 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl12403_026,plain,
r1_tarski @ sk__2 @ ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2084,zip_derived_cl12373]) ).
thf(zip_derived_cl160,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_cl163_027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
| ( m1_subset_1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl2240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1_tarski @ X1 @ X0 )
| ~ ( r2_hidden @ X2 @ X1 )
| ( m1_subset_1 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl163]) ).
thf(zip_derived_cl12410,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ sk__2 )
| ( m1_subset_1 @ X0 @ ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12403,zip_derived_cl2240]) ).
thf(zip_derived_cl158_028,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ X0 @ X1 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl2085_029,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( r2_hidden @ X0 @ ( k1_tarski @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl2227,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( k1_tarski @ X0 ) )
| ( v1_xboole_0 @ ( k1_tarski @ X0 ) )
| ( X1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl2085]) ).
thf(fc2_subset_1,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) ).
thf(zip_derived_cl103,plain,
! [X0: $i] :
~ ( v1_xboole_0 @ ( k1_tarski @ X0 ) ),
inference(cnf,[status(esa)],[fc2_subset_1]) ).
thf(zip_derived_cl3385,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_tarski @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2227,zip_derived_cl103]) ).
thf(zip_derived_cl12813,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ sk__2 )
| ( X0
= ( k1_rlvect_1 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12410,zip_derived_cl3385]) ).
thf(zip_derived_cl12849,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ sk__2 )
| ( v1_xboole_0 @ sk__2 )
| ( X0
= ( k1_rlvect_1 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl12813]) ).
thf(zip_derived_cl12872,plain,
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( v1_xboole_0 @ sk__2 )
| ( ( sk__15 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
= ( k1_rlvect_1 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7472,zip_derived_cl12849]) ).
thf(zip_derived_cl96_030,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__15 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl158_031,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ X0 @ X1 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl96_032,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__15 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) )
& ( v1_xboole_0 @ C ) ) ).
thf(zip_derived_cl164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X2 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl2114,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X1 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ~ ( v1_xboole_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl164]) ).
thf(zip_derived_cl2228,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ~ ( v1_xboole_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl2114]) ).
thf(zip_derived_cl5264,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ~ ( v1_xboole_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl2228]) ).
thf(zip_derived_cl13019,plain,
( ( ( sk__15 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
= ( k1_rlvect_1 @ sk__1 ) )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12872,zip_derived_cl5264]) ).
thf(zip_derived_cl96_033,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__15 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl13020,plain,
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13019,zip_derived_cl96]) ).
thf(zip_derived_cl158_034,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ X0 @ X1 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl2119_035,plain,
! [X0: $i] : ( r1_tarski @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl159]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ( r2_hidden @ X0 @ X2 )
| ~ ( r1_tarski @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl2161,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X1 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( r2_hidden @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2119,zip_derived_cl42]) ).
thf(zip_derived_cl2630,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( r2_hidden @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl2161]) ).
thf(zip_derived_cl13433,plain,
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13020,zip_derived_cl2630]) ).
thf(zip_derived_cl13450,plain,
( ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13433]) ).
thf(zip_derived_cl26310,plain,
( ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ( v1_xboole_0 @ sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26222,zip_derived_cl13450]) ).
thf(zip_derived_cl13450_036,plain,
( ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13433]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( v1_xboole_0 @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl13475,plain,
( ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ( ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) )
= k1_xboole_0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13450,zip_derived_cl165]) ).
thf(zip_derived_cl2119_037,plain,
! [X0: $i] : ( r1_tarski @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl159]) ).
thf(zip_derived_cl44_038,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl2102,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl166]) ).
thf(zip_derived_cl37_039,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( r1_tarski @ X0 @ X1 )
| ~ ( r1_tarski @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl2181,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_xboole_0 @ X1 )
| ( X0 = X1 )
| ~ ( r1_tarski @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2102,zip_derived_cl37]) ).
thf(zip_derived_cl2190,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ( ( sk__15 @ ( k1_zfmisc_1 @ X0 ) )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2119,zip_derived_cl2181]) ).
thf(zip_derived_cl13504,plain,
( ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ~ ( v1_xboole_0 @ sk__2 )
| ( k1_xboole_0 = sk__2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13475,zip_derived_cl2190]) ).
thf(zip_derived_cl15,plain,
sk__2 != k1_xboole_0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13562,plain,
( ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ~ ( v1_xboole_0 @ sk__2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13504,zip_derived_cl15]) ).
thf(zip_derived_cl166_040,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl13580,plain,
~ ( v1_xboole_0 @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl13562,zip_derived_cl166]) ).
thf(zip_derived_cl26432,plain,
( ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 )
| ( r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl26310,zip_derived_cl13580]) ).
thf(zip_derived_cl26433,plain,
r2_hidden @ ( k1_rlvect_1 @ sk__1 ) @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl26432]) ).
thf(zip_derived_cl28639,plain,
( ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl28631,zip_derived_cl26433]) ).
thf(redefinition_k7_rlvect_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( ( k7_rlvect_2 @ A @ B )
= ( k1_tarski @ B ) ) ) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
| ( ( k7_rlvect_2 @ X0 @ X1 )
= ( k1_tarski @ X1 ) ) ),
inference(cnf,[status(esa)],[redefinition_k7_rlvect_2]) ).
thf(zip_derived_cl16,plain,
( sk__2
!= ( k7_rlvect_2 @ sk__1 @ ( k1_rlvect_1 @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2744,plain,
( ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ( v3_struct_0 @ sk__1 )
| ~ ( l1_struct_0 @ sk__1 )
| ( sk__2
!= ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl16]) ).
thf(zip_derived_cl23_041,plain,
~ ( v3_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_l3_vectsp_1,axiom,
! [A: $i] :
( ( l3_vectsp_1 @ A )
=> ( ( l1_rlvect_1 @ A )
& ( l2_vectsp_1 @ A ) ) ) ).
thf(zip_derived_cl67,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_cl64,plain,
! [X0: $i] :
( ( l1_vectsp_1 @ X0 )
| ~ ( l2_vectsp_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l2_vectsp_1]) ).
thf(zip_derived_cl1943,plain,
! [X0: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ( l1_vectsp_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl64]) ).
thf(dt_l1_vectsp_1,axiom,
! [A: $i] :
( ( l1_vectsp_1 @ A )
=> ( l1_group_1 @ A ) ) ).
thf(zip_derived_cl61,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_cl58,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_group_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_group_1]) ).
thf(zip_derived_cl1935,plain,
! [X0: $i] :
( ~ ( l1_vectsp_1 @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl58]) ).
thf(zip_derived_cl2011,plain,
! [X0: $i] :
( ~ ( l3_vectsp_1 @ X0 )
| ( l1_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1943,zip_derived_cl1935]) ).
thf(zip_derived_cl17_042,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_cl62,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_cl2122,plain,
( ( l1_rlvect_1 @ sk__1 )
| ~ ( l1_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl62]) ).
thf(zip_derived_cl2125,plain,
( ~ ( l3_vectsp_1 @ sk_ )
| ( l1_rlvect_1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2011,zip_derived_cl2122]) ).
thf(zip_derived_cl12_043,plain,
l3_vectsp_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2126,plain,
l1_rlvect_1 @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl2125,zip_derived_cl12]) ).
thf(dt_l1_rlvect_1,axiom,
! [A: $i] :
( ( l1_rlvect_1 @ A )
=> ( l2_struct_0 @ A ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ( l2_struct_0 @ X0 )
| ~ ( l1_rlvect_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_rlvect_1]) ).
thf(zip_derived_cl2129,plain,
l2_struct_0 @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl2126,zip_derived_cl59]) ).
thf(dt_l2_struct_0,axiom,
! [A: $i] :
( ( l2_struct_0 @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l2_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l2_struct_0]) ).
thf(zip_derived_cl2130,plain,
l1_struct_0 @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl2129,zip_derived_cl63]) ).
thf(zip_derived_cl2749,plain,
( ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ( sk__2
!= ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2744,zip_derived_cl23,zip_derived_cl2130]) ).
thf(zip_derived_cl12343_044,plain,
! [X0: $i] :
( ( ( sk__4 @ X0 @ sk__2 )
= ( k1_rlvect_1 @ sk__1 ) )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12342,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl5,zip_derived_cl7,zip_derived_cl8,zip_derived_cl9,zip_derived_cl12,zip_derived_cl17,zip_derived_cl18,zip_derived_cl19,zip_derived_cl20,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23]) ).
thf(zip_derived_cl44_045,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl13_046,plain,
m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl163_047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
| ( m1_subset_1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl2244,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ sk__2 )
| ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl163]) ).
thf(zip_derived_cl2252,plain,
! [X0: $i] :
( ( r1_tarski @ sk__2 @ X0 )
| ( m1_subset_1 @ ( sk__4 @ X0 @ sk__2 ) @ ( u1_struct_0 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2244]) ).
thf(zip_derived_cl12359,plain,
! [X0: $i] :
( ( r1_tarski @ sk__2 @ X0 )
| ( r1_tarski @ sk__2 @ X0 )
| ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12343,zip_derived_cl2252]) ).
thf(zip_derived_cl12380,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12359]) ).
thf(zip_derived_cl2159_048,plain,
! [X0: $i] :
( ( X0
= ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ~ ( r1_tarski @ X0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2119,zip_derived_cl37]) ).
thf(zip_derived_cl21387,plain,
( ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ( sk__2
= ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12380,zip_derived_cl2159]) ).
thf(zip_derived_cl7472_049,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( m1_subset_1 @ ( sk__15 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl2568]) ).
thf(zip_derived_cl13020_050,plain,
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13019,zip_derived_cl96]) ).
thf(zip_derived_cl12343_051,plain,
! [X0: $i] :
( ( ( sk__4 @ X0 @ sk__2 )
= ( k1_rlvect_1 @ sk__1 ) )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12342,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl5,zip_derived_cl7,zip_derived_cl8,zip_derived_cl9,zip_derived_cl12,zip_derived_cl17,zip_derived_cl18,zip_derived_cl19,zip_derived_cl20,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23]) ).
thf(zip_derived_cl158_052,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ X0 @ X1 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl43_053,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl2230,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ ( sk__4 @ X0 @ X1 ) @ X0 )
| ( v1_xboole_0 @ X0 )
| ( r1_tarski @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl43]) ).
thf(zip_derived_cl12356,plain,
! [X0: $i] :
( ( r1_tarski @ sk__2 @ X0 )
| ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ X0 )
| ( v1_xboole_0 @ X0 )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12343,zip_derived_cl2230]) ).
thf(zip_derived_cl12377,plain,
! [X0: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ X0 )
| ( r1_tarski @ sk__2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12356]) ).
thf(zip_derived_cl14820,plain,
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( r1_tarski @ sk__2 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13020,zip_derived_cl12377]) ).
thf(zip_derived_cl14838,plain,
( ( r1_tarski @ sk__2 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14820]) ).
thf(zip_derived_cl2159_054,plain,
! [X0: $i] :
( ( X0
= ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ~ ( r1_tarski @ X0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2119,zip_derived_cl37]) ).
thf(zip_derived_cl14872,plain,
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( sk__2
= ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14838,zip_derived_cl2159]) ).
thf(zip_derived_cl165_055,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( v1_xboole_0 @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl14896,plain,
( ( sk__2
= ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) )
= k1_xboole_0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14872,zip_derived_cl165]) ).
thf(zip_derived_cl2630_056,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ X0 ) ) )
| ( r2_hidden @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl2161]) ).
thf(zip_derived_cl14929,plain,
! [X0: $i] :
( ( ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) )
= k1_xboole_0 )
| ~ ( m1_subset_1 @ X0 @ sk__2 )
| ( v1_xboole_0 @ sk__2 )
| ( r2_hidden @ X0 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14896,zip_derived_cl2630]) ).
thf(zip_derived_cl13580_057,plain,
~ ( v1_xboole_0 @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl13562,zip_derived_cl166]) ).
thf(zip_derived_cl14997,plain,
! [X0: $i] :
( ( ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) )
= k1_xboole_0 )
| ~ ( m1_subset_1 @ X0 @ sk__2 )
| ( r2_hidden @ X0 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl14929,zip_derived_cl13580]) ).
thf(zip_derived_cl15240,plain,
( ( v1_xboole_0 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) )
| ( ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) )
= k1_xboole_0 )
| ( r2_hidden @ ( sk__15 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7472,zip_derived_cl14997]) ).
thf(zip_derived_cl165_058,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( v1_xboole_0 @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl15253,plain,
( ( r2_hidden @ ( sk__15 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) @ sk__2 )
| ( ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) )
= k1_xboole_0 ) ),
inference(clc,[status(thm)],[zip_derived_cl15240,zip_derived_cl165]) ).
thf(zip_derived_cl2244_059,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ sk__2 )
| ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl163]) ).
thf(zip_derived_cl15257,plain,
( ( ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) )
= k1_xboole_0 )
| ( m1_subset_1 @ ( sk__15 @ ( sk__15 @ ( k1_zfmisc_1 @ sk__2 ) ) ) @ ( u1_struct_0 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15253,zip_derived_cl2244]) ).
thf(zip_derived_cl21470,plain,
( ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ( sk__2 = k1_xboole_0 )
| ( m1_subset_1 @ ( sk__15 @ sk__2 ) @ ( u1_struct_0 @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21387,zip_derived_cl15257]) ).
thf(zip_derived_cl96_060,plain,
! [X0: $i] : ( m1_subset_1 @ ( sk__15 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl12849_061,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ sk__2 )
| ( v1_xboole_0 @ sk__2 )
| ( X0
= ( k1_rlvect_1 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl12813]) ).
thf(zip_derived_cl12870,plain,
( ( v1_xboole_0 @ sk__2 )
| ( ( sk__15 @ sk__2 )
= ( k1_rlvect_1 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl12849]) ).
thf(zip_derived_cl13580_062,plain,
~ ( v1_xboole_0 @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl13562,zip_derived_cl166]) ).
thf(zip_derived_cl13614,plain,
( ( sk__15 @ sk__2 )
= ( k1_rlvect_1 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl12870,zip_derived_cl13580]) ).
thf(zip_derived_cl21569,plain,
( ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) )
| ( sk__2 = k1_xboole_0 )
| ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21470,zip_derived_cl13614]) ).
thf(zip_derived_cl21570,plain,
( ( sk__2 = k1_xboole_0 )
| ( m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl21569]) ).
thf(zip_derived_cl15_063,plain,
sk__2 != k1_xboole_0,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21571,plain,
m1_subset_1 @ ( k1_rlvect_1 @ sk__1 ) @ ( u1_struct_0 @ sk__1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21570,zip_derived_cl15]) ).
thf(zip_derived_cl21595,plain,
( sk__2
!= ( k1_tarski @ ( k1_rlvect_1 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2749,zip_derived_cl21571]) ).
thf(zip_derived_cl28640,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28639,zip_derived_cl21595]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG218+1 : TPTP v9.2.0. Released v3.4.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aIVI0DmfAD true
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 17:02:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 176.40/25.87 % Solved by fo/fo6_bce.sh.
% 176.40/25.87 % BCE start: 168
% 176.40/25.87 % BCE eliminated: 5
% 176.40/25.87 % PE start: 163
% 176.40/25.87 logic: eq
% 176.40/25.87 % PE eliminated: 9
% 176.40/25.87 % done 4798 iterations in 25.061s
% 176.40/25.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 176.40/25.87 % SZS output start Refutation
% See solution above
% 176.40/25.87
% 176.40/25.87
% 176.40/25.87 % Terminating...
% 176.40/25.94 % Runner terminated.
% 176.40/25.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------