%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT343+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.iJ7JTDaC6U true
% Computer : n001.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 04:41:37 PM UTC 2025
% Result : Theorem 23.09s 3.92s
% Output : Refutation 23.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 20
% Syntax : Number of formulae : 250 ( 95 unt; 0 typ; 0 def)
% Number of atoms : 632 ( 60 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2952 ( 298 ~; 302 |; 51 &;2272 @)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 34 usr; 4 con; 0-4 aty)
% Number of variables : 188 ( 0 ^; 188 !; 0 ?; 188 :)
% Comments :
%------------------------------------------------------------------------------
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(v3_conlat_1_type,type,
v3_conlat_1: $i > $o ).
thf(l3_conlat_1_type,type,
l3_conlat_1: $i > $i > $o ).
thf(u1_conlat_1_type,type,
u1_conlat_1: $i > $i ).
thf(u1_lattices_type,type,
u1_lattices: $i > $i ).
thf(k9_conlat_1_type,type,
k9_conlat_1: $i > $i ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(u2_conlat_1_type,type,
u2_conlat_1: $i > $i ).
thf(l2_conlat_1_type,type,
l2_conlat_1: $i > $o ).
thf(g3_lattices_type,type,
g3_lattices: $i > $i > $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(k5_conlat_2_type,type,
k5_conlat_2: $i > $i ).
thf(k7_conlat_1_type,type,
k7_conlat_1: $i > $i ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(l1_conlat_1_type,type,
l1_conlat_1: $i > $o ).
thf(m1_conlat_1_type,type,
m1_conlat_1: $i > $i > $o ).
thf(u2_lattices_type,type,
u2_lattices: $i > $i ).
thf(k10_conlat_1_type,type,
k10_conlat_1: $i > $i ).
thf(k4_conlat_2_type,type,
k4_conlat_2: $i > $i ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(k11_conlat_1_type,type,
k11_conlat_1: $i > $i ).
thf(v9_conlat_1_type,type,
v9_conlat_1: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(v7_conlat_1_type,type,
v7_conlat_1: $i > $i > $o ).
thf(k8_conlat_1_type,type,
k8_conlat_1: $i > $i ).
thf(k8_funct_2_type,type,
k8_funct_2: $i > $i > $i > $i > $i ).
thf(dt_k8_funct_2,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( v1_xboole_0 @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B )
& ( m1_subset_1 @ D @ A ) )
=> ( m1_subset_1 @ ( k8_funct_2 @ A @ B @ C @ D ) @ B ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X3 @ X1 )
| ( m1_subset_1 @ ( k8_funct_2 @ X1 @ X2 @ X0 @ X3 ) @ X2 ) ),
inference(cnf,[status(esa)],[dt_k8_funct_2]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) ).
thf(zip_derived_cl216,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_cl58_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X3 @ X1 )
| ( m1_subset_1 @ ( k8_funct_2 @ X1 @ X2 @ X0 @ X3 ) @ X2 ) ),
inference(cnf,[status(esa)],[dt_k8_funct_2]) ).
thf(zip_derived_cl216_002,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_cl58_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X3 @ X1 )
| ( m1_subset_1 @ ( k8_funct_2 @ X1 @ X2 @ X0 @ X3 ) @ X2 ) ),
inference(cnf,[status(esa)],[dt_k8_funct_2]) ).
thf(zip_derived_cl58_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( v1_xboole_0 @ X1 )
| ~ ( m1_subset_1 @ X3 @ X1 )
| ( m1_subset_1 @ ( k8_funct_2 @ X1 @ X2 @ X0 @ X3 ) @ X2 ) ),
inference(cnf,[status(esa)],[dt_k8_funct_2]) ).
thf(zip_derived_cl216_005,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(t11_conlat_2,conjecture,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_conlat_1 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u2_conlat_1 @ A ) )
=> ( ~ ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k4_conlat_2 @ A ) @ B ) @ A )
& ( v9_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k4_conlat_2 @ A ) @ B ) @ A )
& ( l3_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k4_conlat_2 @ A ) @ B ) @ A )
& ~ ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k5_conlat_2 @ A ) @ C ) @ A )
& ( v9_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k5_conlat_2 @ A ) @ C ) @ A )
& ( l3_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k5_conlat_2 @ A ) @ C ) @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_conlat_1 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u2_conlat_1 @ A ) )
=> ( ~ ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k4_conlat_2 @ A ) @ B ) @ A )
& ( v9_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k4_conlat_2 @ A ) @ B ) @ A )
& ( l3_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k4_conlat_2 @ A ) @ B ) @ A )
& ~ ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k5_conlat_2 @ A ) @ C ) @ A )
& ( v9_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k5_conlat_2 @ A ) @ C ) @ A )
& ( l3_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) @ ( k5_conlat_2 @ A ) @ C ) @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t11_conlat_2]) ).
thf(zip_derived_cl1,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k8_conlat_1,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( m1_conlat_1 @ ( k8_conlat_1 @ A ) @ A ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( m1_conlat_1 @ ( k8_conlat_1 @ X0 ) @ X0 )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k8_conlat_1]) ).
thf(zip_derived_cl2780,plain,
( ( v3_conlat_1 @ sk_ )
| ( m1_conlat_1 @ ( k8_conlat_1 @ sk_ ) @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl57]) ).
thf(zip_derived_cl0,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3710,plain,
( ( sk_ != sk_ )
| ( m1_conlat_1 @ ( k8_conlat_1 @ sk_ ) @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2780,zip_derived_cl0]) ).
thf(zip_derived_cl4327,plain,
m1_conlat_1 @ ( k8_conlat_1 @ sk_ ) @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl3710]) ).
thf(zip_derived_cl1_006,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d18_conlat_1,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ! [B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ( ( m1_conlat_1 @ B @ A )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
=> ( ~ ( v7_conlat_1 @ C @ A )
& ( v9_conlat_1 @ C @ A )
& ( l3_conlat_1 @ C @ A ) ) ) ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_conlat_1 @ X0 @ X1 )
| ( l3_conlat_1 @ X2 @ X1 )
| ~ ( r2_hidden @ X2 @ X0 )
| ~ ( l2_conlat_1 @ X1 )
| ( v3_conlat_1 @ X1 ) ),
inference(cnf,[status(esa)],[d18_conlat_1]) ).
thf(zip_derived_cl2765,plain,
! [X0: $i,X1: $i] :
( ( v3_conlat_1 @ sk_ )
| ~ ( r2_hidden @ X1 @ X0 )
| ( l3_conlat_1 @ X1 @ sk_ )
| ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( v1_xboole_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl32]) ).
thf(zip_derived_cl0_007,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3665,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ( v1_xboole_0 @ X0 )
| ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( l3_conlat_1 @ X1 @ sk_ )
| ~ ( r2_hidden @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2765,zip_derived_cl0]) ).
thf(zip_derived_cl5321,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X1 @ X0 )
| ( l3_conlat_1 @ X1 @ sk_ )
| ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( v1_xboole_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3665]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl222,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl5322,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( l3_conlat_1 @ X1 @ sk_ )
| ~ ( r2_hidden @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5321,zip_derived_cl222]) ).
thf(zip_derived_cl5323,plain,
! [X0: $i] :
( ( l3_conlat_1 @ X0 @ sk_ )
| ~ ( r2_hidden @ X0 @ ( k8_conlat_1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4327,zip_derived_cl5322]) ).
thf(zip_derived_cl5325,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k8_conlat_1 @ sk_ ) )
| ( v1_xboole_0 @ ( k8_conlat_1 @ sk_ ) )
| ( l3_conlat_1 @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl5323]) ).
thf(zip_derived_cl1_008,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k7_conlat_1,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( k7_conlat_1 @ A ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( k7_conlat_1 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k7_conlat_1]) ).
thf(zip_derived_cl2779,plain,
( ( v3_conlat_1 @ sk_ )
| ~ ( v1_xboole_0 @ ( k7_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl56]) ).
thf(zip_derived_cl0_009,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3707,plain,
( ( sk_ != sk_ )
| ~ ( v1_xboole_0 @ ( k7_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2779,zip_derived_cl0]) ).
thf(zip_derived_cl4266,plain,
~ ( v1_xboole_0 @ ( k7_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3707]) ).
thf(zip_derived_cl1_010,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_k8_conlat_1,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( k8_conlat_1 @ A )
= ( k7_conlat_1 @ A ) ) ) ).
thf(zip_derived_cl210,plain,
! [X0: $i] :
( ( ( k8_conlat_1 @ X0 )
= ( k7_conlat_1 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[redefinition_k8_conlat_1]) ).
thf(zip_derived_cl2810,plain,
( ( v3_conlat_1 @ sk_ )
| ( ( k8_conlat_1 @ sk_ )
= ( k7_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl210]) ).
thf(zip_derived_cl0_011,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3782,plain,
( ( sk_ != sk_ )
| ( ( k8_conlat_1 @ sk_ )
= ( k7_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2810,zip_derived_cl0]) ).
thf(zip_derived_cl4252,plain,
( ( k8_conlat_1 @ sk_ )
= ( k7_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3782]) ).
thf(zip_derived_cl4267,plain,
~ ( v1_xboole_0 @ ( k8_conlat_1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl4266,zip_derived_cl4252]) ).
thf(zip_derived_cl5328,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k8_conlat_1 @ sk_ ) )
| ( l3_conlat_1 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5325,zip_derived_cl4267]) ).
thf(zip_derived_cl1_012,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d23_conlat_1,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( k11_conlat_1 @ A )
= ( g3_lattices @ ( k8_conlat_1 @ A ) @ ( k10_conlat_1 @ A ) @ ( k9_conlat_1 @ A ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( ( k11_conlat_1 @ X0 )
= ( g3_lattices @ ( k8_conlat_1 @ X0 ) @ ( k10_conlat_1 @ X0 ) @ ( k9_conlat_1 @ X0 ) ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[d23_conlat_1]) ).
thf(zip_derived_cl2770,plain,
( ( v3_conlat_1 @ sk_ )
| ( ( k11_conlat_1 @ sk_ )
= ( g3_lattices @ ( k8_conlat_1 @ sk_ ) @ ( k10_conlat_1 @ sk_ ) @ ( k9_conlat_1 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl37]) ).
thf(zip_derived_cl0_013,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3680,plain,
( ( sk_ != sk_ )
| ( ( k11_conlat_1 @ sk_ )
= ( g3_lattices @ ( k8_conlat_1 @ sk_ ) @ ( k10_conlat_1 @ sk_ ) @ ( k9_conlat_1 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2770,zip_derived_cl0]) ).
thf(zip_derived_cl4680,plain,
( ( k11_conlat_1 @ sk_ )
= ( g3_lattices @ ( k8_conlat_1 @ sk_ ) @ ( k10_conlat_1 @ sk_ ) @ ( k9_conlat_1 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3680]) ).
thf(dt_g3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ( ( v3_lattices @ ( g3_lattices @ A @ B @ C ) )
& ( l3_lattices @ ( g3_lattices @ A @ B @ C ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_relset_1 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( m1_relset_1 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ( v3_lattices @ ( g3_lattices @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[dt_g3_lattices]) ).
thf(abstractness_v3_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ A )
=> ( A
= ( g3_lattices @ ( u1_struct_0 @ A ) @ ( u2_lattices @ A ) @ ( u1_lattices @ A ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ~ ( v3_lattices @ X0 )
| ( X0
= ( g3_lattices @ ( u1_struct_0 @ X0 ) @ ( u2_lattices @ X0 ) @ ( u1_lattices @ X0 ) ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[abstractness_v3_lattices]) ).
thf(zip_derived_cl1461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_relset_1 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( l3_lattices @ ( g3_lattices @ X0 @ X1 @ X2 ) )
| ( ( g3_lattices @ X0 @ X1 @ X2 )
= ( g3_lattices @ ( u1_struct_0 @ ( g3_lattices @ X0 @ X1 @ X2 ) ) @ ( u2_lattices @ ( g3_lattices @ X0 @ X1 @ X2 ) ) @ ( u1_lattices @ ( g3_lattices @ X0 @ X1 @ X2 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl39,zip_derived_cl5]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_relset_1 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( m1_relset_1 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ( l3_lattices @ ( g3_lattices @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[dt_g3_lattices]) ).
thf(zip_derived_cl4604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( g3_lattices @ X0 @ X1 @ X2 )
= ( g3_lattices @ ( u1_struct_0 @ ( g3_lattices @ X0 @ X1 @ X2 ) ) @ ( u2_lattices @ ( g3_lattices @ X0 @ X1 @ X2 ) ) @ ( u1_lattices @ ( g3_lattices @ X0 @ X1 @ X2 ) ) ) )
| ~ ( m1_relset_1 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v1_funct_2 @ X1 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 )
| ~ ( m1_relset_1 @ X2 @ ( k2_zfmisc_1 @ X0 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1461,zip_derived_cl38]) ).
thf(zip_derived_cl4682,plain,
( ( ( k11_conlat_1 @ sk_ )
= ( g3_lattices @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( u2_lattices @ ( k11_conlat_1 @ sk_ ) ) @ ( u1_lattices @ ( k11_conlat_1 @ sk_ ) ) ) )
| ~ ( m1_relset_1 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ~ ( v1_funct_2 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ~ ( v1_funct_1 @ ( k10_conlat_1 @ sk_ ) )
| ~ ( v1_funct_1 @ ( k9_conlat_1 @ sk_ ) )
| ~ ( v1_funct_2 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ~ ( m1_relset_1 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4680,zip_derived_cl4604]) ).
thf(zip_derived_cl1_014,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k10_conlat_1,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( v1_funct_1 @ ( k10_conlat_1 @ A ) )
& ( v1_funct_2 @ ( k10_conlat_1 @ A ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ A ) @ ( k8_conlat_1 @ A ) ) @ ( k8_conlat_1 @ A ) )
& ( m2_relset_1 @ ( k10_conlat_1 @ A ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ A ) @ ( k8_conlat_1 @ A ) ) @ ( k8_conlat_1 @ A ) ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( v1_funct_1 @ ( k10_conlat_1 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k10_conlat_1]) ).
thf(zip_derived_cl2771,plain,
( ( v3_conlat_1 @ sk_ )
| ( v1_funct_1 @ ( k10_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl40]) ).
thf(zip_derived_cl0_015,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3683,plain,
( ( sk_ != sk_ )
| ( v1_funct_1 @ ( k10_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2771,zip_derived_cl0]) ).
thf(zip_derived_cl4255,plain,
v1_funct_1 @ ( k10_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3683]) ).
thf(zip_derived_cl1_016,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k9_conlat_1,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( v1_funct_1 @ ( k9_conlat_1 @ A ) )
& ( v1_funct_2 @ ( k9_conlat_1 @ A ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ A ) @ ( k8_conlat_1 @ A ) ) @ ( k8_conlat_1 @ A ) )
& ( m2_relset_1 @ ( k9_conlat_1 @ A ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ A ) @ ( k8_conlat_1 @ A ) ) @ ( k8_conlat_1 @ A ) ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ( v1_funct_1 @ ( k9_conlat_1 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k9_conlat_1]) ).
thf(zip_derived_cl2781,plain,
( ( v3_conlat_1 @ sk_ )
| ( v1_funct_1 @ ( k9_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl59]) ).
thf(zip_derived_cl0_017,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3713,plain,
( ( sk_ != sk_ )
| ( v1_funct_1 @ ( k9_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2781,zip_derived_cl0]) ).
thf(zip_derived_cl4272,plain,
v1_funct_1 @ ( k9_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3713]) ).
thf(zip_derived_cl4695,plain,
( ( ( k11_conlat_1 @ sk_ )
= ( g3_lattices @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( u2_lattices @ ( k11_conlat_1 @ sk_ ) ) @ ( u1_lattices @ ( k11_conlat_1 @ sk_ ) ) ) )
| ~ ( m1_relset_1 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ~ ( v1_funct_2 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ~ ( v1_funct_2 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ~ ( m1_relset_1 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4682,zip_derived_cl4255,zip_derived_cl4272]) ).
thf(zip_derived_cl1_018,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( m2_relset_1 @ ( k10_conlat_1 @ X0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X0 ) @ ( k8_conlat_1 @ X0 ) ) @ ( k8_conlat_1 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k10_conlat_1]) ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) ).
thf(zip_derived_cl212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl1453,plain,
! [X0: $i] :
( ( v3_conlat_1 @ X0 )
| ~ ( l2_conlat_1 @ X0 )
| ( m1_relset_1 @ ( k10_conlat_1 @ X0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X0 ) @ ( k8_conlat_1 @ X0 ) ) @ ( k8_conlat_1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl212]) ).
thf(zip_derived_cl2821,plain,
( ( m1_relset_1 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ( v3_conlat_1 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl1453]) ).
thf(zip_derived_cl0_019,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3803,plain,
( ( sk_ != sk_ )
| ( m1_relset_1 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2821,zip_derived_cl0]) ).
thf(zip_derived_cl4964,plain,
m1_relset_1 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3803]) ).
thf(zip_derived_cl1_020,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( k10_conlat_1 @ X0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X0 ) @ ( k8_conlat_1 @ X0 ) ) @ ( k8_conlat_1 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k10_conlat_1]) ).
thf(zip_derived_cl2772,plain,
( ( v3_conlat_1 @ sk_ )
| ( v1_funct_2 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl41]) ).
thf(zip_derived_cl0_021,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3686,plain,
( ( sk_ != sk_ )
| ( v1_funct_2 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2772,zip_derived_cl0]) ).
thf(zip_derived_cl4905,plain,
v1_funct_2 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3686]) ).
thf(zip_derived_cl1_022,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( k9_conlat_1 @ X0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X0 ) @ ( k8_conlat_1 @ X0 ) ) @ ( k8_conlat_1 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k9_conlat_1]) ).
thf(zip_derived_cl2782,plain,
( ( v3_conlat_1 @ sk_ )
| ( v1_funct_2 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl60]) ).
thf(zip_derived_cl0_023,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3716,plain,
( ( sk_ != sk_ )
| ( v1_funct_2 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2782,zip_derived_cl0]) ).
thf(zip_derived_cl4935,plain,
v1_funct_2 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3716]) ).
thf(zip_derived_cl5018,plain,
( ( ( k11_conlat_1 @ sk_ )
= ( g3_lattices @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( u2_lattices @ ( k11_conlat_1 @ sk_ ) ) @ ( u1_lattices @ ( k11_conlat_1 @ sk_ ) ) ) )
| ~ ( m1_relset_1 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4695,zip_derived_cl4964,zip_derived_cl4905,zip_derived_cl4935]) ).
thf(zip_derived_cl1_024,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ( m2_relset_1 @ ( k9_conlat_1 @ X0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X0 ) @ ( k8_conlat_1 @ X0 ) ) @ ( k8_conlat_1 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k9_conlat_1]) ).
thf(zip_derived_cl212_025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl1456,plain,
! [X0: $i] :
( ( v3_conlat_1 @ X0 )
| ~ ( l2_conlat_1 @ X0 )
| ( m1_relset_1 @ ( k9_conlat_1 @ X0 ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ X0 ) @ ( k8_conlat_1 @ X0 ) ) @ ( k8_conlat_1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl212]) ).
thf(zip_derived_cl2824,plain,
( ( m1_relset_1 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ( v3_conlat_1 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl1456]) ).
thf(zip_derived_cl0_026,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3812,plain,
( ( sk_ != sk_ )
| ( m1_relset_1 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2824,zip_derived_cl0]) ).
thf(zip_derived_cl5037,plain,
m1_relset_1 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3812]) ).
thf(zip_derived_cl5038,plain,
( ( k11_conlat_1 @ sk_ )
= ( g3_lattices @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( u2_lattices @ ( k11_conlat_1 @ sk_ ) ) @ ( u1_lattices @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5018,zip_derived_cl5037]) ).
thf(zip_derived_cl4935_027,plain,
v1_funct_2 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3716]) ).
thf(zip_derived_cl4964_028,plain,
m1_relset_1 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3803]) ).
thf(free_g3_lattices,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A )
& ( m1_relset_1 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( g3_lattices @ A @ B @ C )
= ( g3_lattices @ D @ E @ F ) )
=> ( ( A = D )
& ( B = E )
& ( C = F ) ) ) ) ).
thf(zip_derived_cl155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( m1_relset_1 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ~ ( m1_relset_1 @ X2 @ ( k2_zfmisc_1 @ X1 @ X1 ) @ X1 )
| ( X1 = X3 )
| ( ( g3_lattices @ X1 @ X0 @ X2 )
!= ( g3_lattices @ X3 @ X4 @ X5 ) ) ),
inference(cnf,[status(esa)],[free_g3_lattices]) ).
thf(zip_derived_cl4966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( v1_funct_2 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ~ ( v1_funct_1 @ ( k10_conlat_1 @ sk_ ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ~ ( m1_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ( ( k8_conlat_1 @ sk_ )
= X1 )
| ( ( g3_lattices @ ( k8_conlat_1 @ sk_ ) @ ( k10_conlat_1 @ sk_ ) @ X0 )
!= ( g3_lattices @ X1 @ X3 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4964,zip_derived_cl155]) ).
thf(zip_derived_cl4905_029,plain,
v1_funct_2 @ ( k10_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3686]) ).
thf(zip_derived_cl4255_030,plain,
v1_funct_1 @ ( k10_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3683]) ).
thf(zip_derived_cl4986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ~ ( m1_relset_1 @ X0 @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ( ( k8_conlat_1 @ sk_ )
= X1 )
| ( ( g3_lattices @ ( k8_conlat_1 @ sk_ ) @ ( k10_conlat_1 @ sk_ ) @ X0 )
!= ( g3_lattices @ X1 @ X3 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4966,zip_derived_cl4905,zip_derived_cl4255]) ).
thf(zip_derived_cl6161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_funct_1 @ ( k9_conlat_1 @ sk_ ) )
| ~ ( m1_relset_1 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ) )
| ( ( k8_conlat_1 @ sk_ )
= X0 )
| ( ( g3_lattices @ ( k8_conlat_1 @ sk_ ) @ ( k10_conlat_1 @ sk_ ) @ ( k9_conlat_1 @ sk_ ) )
!= ( g3_lattices @ X0 @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4935,zip_derived_cl4986]) ).
thf(zip_derived_cl4272_031,plain,
v1_funct_1 @ ( k9_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3713]) ).
thf(zip_derived_cl5037_032,plain,
m1_relset_1 @ ( k9_conlat_1 @ sk_ ) @ ( k2_zfmisc_1 @ ( k8_conlat_1 @ sk_ ) @ ( k8_conlat_1 @ sk_ ) ) @ ( k8_conlat_1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3812]) ).
thf(zip_derived_cl4680_033,plain,
( ( k11_conlat_1 @ sk_ )
= ( g3_lattices @ ( k8_conlat_1 @ sk_ ) @ ( k10_conlat_1 @ sk_ ) @ ( k9_conlat_1 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3680]) ).
thf(zip_derived_cl6172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k8_conlat_1 @ sk_ )
= X0 )
| ( ( k11_conlat_1 @ sk_ )
!= ( g3_lattices @ X0 @ X2 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6161,zip_derived_cl4272,zip_derived_cl5037,zip_derived_cl4680]) ).
thf(zip_derived_cl6182,plain,
( ( ( k8_conlat_1 @ sk_ )
= ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( ( k11_conlat_1 @ sk_ )
!= ( k11_conlat_1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5038,zip_derived_cl6172]) ).
thf(zip_derived_cl6189,plain,
( ( k8_conlat_1 @ sk_ )
= ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6182]) ).
thf(zip_derived_cl6210,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( l3_conlat_1 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5328,zip_derived_cl6189]) ).
thf(zip_derived_cl216_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_cl4327_035,plain,
m1_conlat_1 @ ( k8_conlat_1 @ sk_ ) @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl3710]) ).
thf(zip_derived_cl1_036,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_conlat_1 @ X0 @ X1 )
| ( v9_conlat_1 @ X2 @ X1 )
| ~ ( r2_hidden @ X2 @ X0 )
| ~ ( l2_conlat_1 @ X1 )
| ( v3_conlat_1 @ X1 ) ),
inference(cnf,[status(esa)],[d18_conlat_1]) ).
thf(zip_derived_cl2766,plain,
! [X0: $i,X1: $i] :
( ( v3_conlat_1 @ sk_ )
| ~ ( r2_hidden @ X1 @ X0 )
| ( v9_conlat_1 @ X1 @ sk_ )
| ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( v1_xboole_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl33]) ).
thf(zip_derived_cl0_037,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3668,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ( v1_xboole_0 @ X0 )
| ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( v9_conlat_1 @ X1 @ sk_ )
| ~ ( r2_hidden @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2766,zip_derived_cl0]) ).
thf(zip_derived_cl5335,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X1 @ X0 )
| ( v9_conlat_1 @ X1 @ sk_ )
| ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( v1_xboole_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3668]) ).
thf(zip_derived_cl222_038,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl5336,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( v9_conlat_1 @ X1 @ sk_ )
| ~ ( r2_hidden @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5335,zip_derived_cl222]) ).
thf(zip_derived_cl5337,plain,
! [X0: $i] :
( ( v9_conlat_1 @ X0 @ sk_ )
| ~ ( r2_hidden @ X0 @ ( k8_conlat_1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4327,zip_derived_cl5336]) ).
thf(zip_derived_cl5376,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k8_conlat_1 @ sk_ ) )
| ( v1_xboole_0 @ ( k8_conlat_1 @ sk_ ) )
| ( v9_conlat_1 @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl5337]) ).
thf(zip_derived_cl4267_039,plain,
~ ( v1_xboole_0 @ ( k8_conlat_1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl4266,zip_derived_cl4252]) ).
thf(zip_derived_cl5379,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k8_conlat_1 @ sk_ ) )
| ( v9_conlat_1 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5376,zip_derived_cl4267]) ).
thf(zip_derived_cl6189_040,plain,
( ( k8_conlat_1 @ sk_ )
= ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6182]) ).
thf(zip_derived_cl6215,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v9_conlat_1 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5379,zip_derived_cl6189]) ).
thf(zip_derived_cl3,plain,
( ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ~ ( v9_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ~ ( l3_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ~ ( v9_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ~ ( l3_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6374,plain,
( ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ~ ( l3_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ~ ( v9_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ~ ( l3_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6215,zip_derived_cl3]) ).
thf(zip_derived_cl6210_041,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( l3_conlat_1 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5328,zip_derived_cl6189]) ).
thf(zip_derived_cl9130,plain,
( ~ ( l3_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ~ ( v9_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6374,zip_derived_cl6210]) ).
thf(zip_derived_cl9131,plain,
( ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ~ ( v9_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6210,zip_derived_cl9130]) ).
thf(zip_derived_cl6215_042,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v9_conlat_1 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5379,zip_derived_cl6189]) ).
thf(zip_derived_cl9673,plain,
( ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl9131,zip_derived_cl6215]) ).
thf(zip_derived_cl9674,plain,
( ~ ( m1_subset_1 @ sk__1 @ ( u1_conlat_1 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_conlat_1 @ sk_ ) )
| ~ ( v1_funct_1 @ ( k4_conlat_2 @ sk_ ) )
| ~ ( v1_funct_2 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ~ ( m1_relset_1 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl9673]) ).
thf(zip_derived_cl4,plain,
m1_subset_1 @ sk__1 @ ( u1_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_043,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_l2_conlat_1,axiom,
! [A: $i] :
( ( l2_conlat_1 @ A )
=> ( l1_conlat_1 @ A ) ) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( ( l1_conlat_1 @ X0 )
| ~ ( l2_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l2_conlat_1]) ).
thf(fc2_conlat_1,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_conlat_1 @ A ) ) ) ).
thf(zip_derived_cl111,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u1_conlat_1 @ X0 ) )
| ~ ( l1_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc2_conlat_1]) ).
thf(zip_derived_cl1441,plain,
! [X0: $i] :
( ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 )
| ~ ( v1_xboole_0 @ ( u1_conlat_1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl111]) ).
thf(zip_derived_cl2816,plain,
( ~ ( v1_xboole_0 @ ( u1_conlat_1 @ sk_ ) )
| ( v3_conlat_1 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl1441]) ).
thf(zip_derived_cl0_044,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3788,plain,
( ( sk_ != sk_ )
| ~ ( v1_xboole_0 @ ( u1_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2816,zip_derived_cl0]) ).
thf(zip_derived_cl4259,plain,
~ ( v1_xboole_0 @ ( u1_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3788]) ).
thf(zip_derived_cl1_045,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k4_conlat_2,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( v1_funct_1 @ ( k4_conlat_2 @ A ) )
& ( v1_funct_2 @ ( k4_conlat_2 @ A ) @ ( u1_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ( m2_relset_1 @ ( k4_conlat_2 @ A ) @ ( u1_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( v1_funct_1 @ ( k4_conlat_2 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_conlat_2]) ).
thf(zip_derived_cl2775,plain,
( ( v3_conlat_1 @ sk_ )
| ( v1_funct_1 @ ( k4_conlat_2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl50]) ).
thf(zip_derived_cl0_046,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3695,plain,
( ( sk_ != sk_ )
| ( v1_funct_1 @ ( k4_conlat_2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2775,zip_derived_cl0]) ).
thf(zip_derived_cl4263,plain,
v1_funct_1 @ ( k4_conlat_2 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3695]) ).
thf(zip_derived_cl1_047,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( k4_conlat_2 @ X0 ) @ ( u1_conlat_1 @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ X0 ) ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_conlat_2]) ).
thf(zip_derived_cl2776,plain,
( ( v3_conlat_1 @ sk_ )
| ( v1_funct_2 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl51]) ).
thf(zip_derived_cl0_048,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3698,plain,
( ( sk_ != sk_ )
| ( v1_funct_2 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2776,zip_derived_cl0]) ).
thf(zip_derived_cl4711,plain,
v1_funct_2 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3698]) ).
thf(zip_derived_cl1_049,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( m2_relset_1 @ ( k4_conlat_2 @ X0 ) @ ( u1_conlat_1 @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ X0 ) ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k4_conlat_2]) ).
thf(zip_derived_cl212_050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl1454,plain,
! [X0: $i] :
( ( v3_conlat_1 @ X0 )
| ~ ( l2_conlat_1 @ X0 )
| ( m1_relset_1 @ ( k4_conlat_2 @ X0 ) @ ( u1_conlat_1 @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl212]) ).
thf(zip_derived_cl2822,plain,
( ( m1_relset_1 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v3_conlat_1 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl1454]) ).
thf(zip_derived_cl0_051,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3806,plain,
( ( sk_ != sk_ )
| ( m1_relset_1 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2822,zip_derived_cl0]) ).
thf(zip_derived_cl4777,plain,
m1_relset_1 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3806]) ).
thf(zip_derived_cl9691,plain,
( ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ )
| ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9674,zip_derived_cl4,zip_derived_cl4259,zip_derived_cl4263,zip_derived_cl4711,zip_derived_cl4777]) ).
thf(zip_derived_cl9779,plain,
( ~ ( m1_subset_1 @ sk__2 @ ( u2_conlat_1 @ sk_ ) )
| ( v1_xboole_0 @ ( u2_conlat_1 @ sk_ ) )
| ~ ( v1_funct_1 @ ( k5_conlat_2 @ sk_ ) )
| ~ ( v1_funct_2 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ~ ( m1_relset_1 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl9691]) ).
thf(zip_derived_cl2,plain,
m1_subset_1 @ sk__2 @ ( u2_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_052,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65_053,plain,
! [X0: $i] :
( ( l1_conlat_1 @ X0 )
| ~ ( l2_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l2_conlat_1]) ).
thf(fc1_conlat_1,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l1_conlat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( u2_conlat_1 @ A ) ) ) ).
thf(zip_derived_cl94,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u2_conlat_1 @ X0 ) )
| ~ ( l1_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_conlat_1]) ).
thf(zip_derived_cl1440,plain,
! [X0: $i] :
( ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 )
| ~ ( v1_xboole_0 @ ( u2_conlat_1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl94]) ).
thf(zip_derived_cl2815,plain,
( ~ ( v1_xboole_0 @ ( u2_conlat_1 @ sk_ ) )
| ( v3_conlat_1 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl1440]) ).
thf(zip_derived_cl0_054,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3785,plain,
( ( sk_ != sk_ )
| ~ ( v1_xboole_0 @ ( u2_conlat_1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2815,zip_derived_cl0]) ).
thf(zip_derived_cl4258,plain,
~ ( v1_xboole_0 @ ( u2_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3785]) ).
thf(zip_derived_cl1_055,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k5_conlat_2,axiom,
! [A: $i] :
( ( ~ ( v3_conlat_1 @ A )
& ( l2_conlat_1 @ A ) )
=> ( ( v1_funct_1 @ ( k5_conlat_2 @ A ) )
& ( v1_funct_2 @ ( k5_conlat_2 @ A ) @ ( u2_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) )
& ( m2_relset_1 @ ( k5_conlat_2 @ A ) @ ( u2_conlat_1 @ A ) @ ( u1_struct_0 @ ( k11_conlat_1 @ A ) ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( v1_funct_1 @ ( k5_conlat_2 @ X0 ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_conlat_2]) ).
thf(zip_derived_cl2777,plain,
( ( v3_conlat_1 @ sk_ )
| ( v1_funct_1 @ ( k5_conlat_2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl53]) ).
thf(zip_derived_cl0_056,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3701,plain,
( ( sk_ != sk_ )
| ( v1_funct_1 @ ( k5_conlat_2 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2777,zip_derived_cl0]) ).
thf(zip_derived_cl4265,plain,
v1_funct_1 @ ( k5_conlat_2 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3701]) ).
thf(zip_derived_cl1_057,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( v1_funct_2 @ ( k5_conlat_2 @ X0 ) @ ( u2_conlat_1 @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ X0 ) ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_conlat_2]) ).
thf(zip_derived_cl2778,plain,
( ( v3_conlat_1 @ sk_ )
| ( v1_funct_2 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl54]) ).
thf(zip_derived_cl0_058,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3704,plain,
( ( sk_ != sk_ )
| ( v1_funct_2 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2778,zip_derived_cl0]) ).
thf(zip_derived_cl4749,plain,
v1_funct_2 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3704]) ).
thf(zip_derived_cl1_059,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( m2_relset_1 @ ( k5_conlat_2 @ X0 ) @ ( u2_conlat_1 @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ X0 ) ) )
| ~ ( l2_conlat_1 @ X0 )
| ( v3_conlat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_conlat_2]) ).
thf(zip_derived_cl212_060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl1455,plain,
! [X0: $i] :
( ( v3_conlat_1 @ X0 )
| ~ ( l2_conlat_1 @ X0 )
| ( m1_relset_1 @ ( k5_conlat_2 @ X0 ) @ ( u2_conlat_1 @ X0 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl212]) ).
thf(zip_derived_cl2823,plain,
( ( m1_relset_1 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v3_conlat_1 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl1455]) ).
thf(zip_derived_cl0_061,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3809,plain,
( ( sk_ != sk_ )
| ( m1_relset_1 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2823,zip_derived_cl0]) ).
thf(zip_derived_cl4836,plain,
m1_relset_1 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3809]) ).
thf(zip_derived_cl9796,plain,
( ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl9779,zip_derived_cl2,zip_derived_cl4258,zip_derived_cl4265,zip_derived_cl4749,zip_derived_cl4836]) ).
thf(zip_derived_cl4327_062,plain,
m1_conlat_1 @ ( k8_conlat_1 @ sk_ ) @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl3710]) ).
thf(zip_derived_cl1_063,plain,
l2_conlat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_conlat_1 @ X0 @ X1 )
| ~ ( v7_conlat_1 @ X2 @ X1 )
| ~ ( r2_hidden @ X2 @ X0 )
| ~ ( l2_conlat_1 @ X1 )
| ( v3_conlat_1 @ X1 ) ),
inference(cnf,[status(esa)],[d18_conlat_1]) ).
thf(zip_derived_cl2767,plain,
! [X0: $i,X1: $i] :
( ( v3_conlat_1 @ sk_ )
| ~ ( r2_hidden @ X1 @ X0 )
| ~ ( v7_conlat_1 @ X1 @ sk_ )
| ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( v1_xboole_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl34]) ).
thf(zip_derived_cl0_064,plain,
~ ( v3_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3671,plain,
! [X0: $i,X1: $i] :
( ( sk_ != sk_ )
| ( v1_xboole_0 @ X0 )
| ~ ( m1_conlat_1 @ X0 @ sk_ )
| ~ ( v7_conlat_1 @ X1 @ sk_ )
| ~ ( r2_hidden @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2767,zip_derived_cl0]) ).
thf(zip_derived_cl5359,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X1 @ X0 )
| ~ ( v7_conlat_1 @ X1 @ sk_ )
| ~ ( m1_conlat_1 @ X0 @ sk_ )
| ( v1_xboole_0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3671]) ).
thf(zip_derived_cl222_065,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl5360,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_conlat_1 @ X0 @ sk_ )
| ~ ( v7_conlat_1 @ X1 @ sk_ )
| ~ ( r2_hidden @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5359,zip_derived_cl222]) ).
thf(zip_derived_cl5361,plain,
! [X0: $i] :
( ~ ( v7_conlat_1 @ X0 @ sk_ )
| ~ ( r2_hidden @ X0 @ ( k8_conlat_1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4327,zip_derived_cl5360]) ).
thf(zip_derived_cl6189_066,plain,
( ( k8_conlat_1 @ sk_ )
= ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6182]) ).
thf(zip_derived_cl6214,plain,
! [X0: $i] :
( ~ ( v7_conlat_1 @ X0 @ sk_ )
| ~ ( r2_hidden @ X0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5361,zip_derived_cl6189]) ).
thf(zip_derived_cl9862,plain,
( ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ )
| ~ ( r2_hidden @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9796,zip_derived_cl6214]) ).
thf(zip_derived_cl10865,plain,
( ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl9862]) ).
thf(zip_derived_cl4267_067,plain,
~ ( v1_xboole_0 @ ( k8_conlat_1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl4266,zip_derived_cl4252]) ).
thf(zip_derived_cl6189_068,plain,
( ( k8_conlat_1 @ sk_ )
= ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6182]) ).
thf(zip_derived_cl6192,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4267,zip_derived_cl6189]) ).
thf(zip_derived_cl10882,plain,
( ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k5_conlat_2 @ sk_ ) @ sk__2 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl10865,zip_derived_cl6192]) ).
thf(zip_derived_cl11003,plain,
( ~ ( m1_subset_1 @ sk__2 @ ( u2_conlat_1 @ sk_ ) )
| ( v1_xboole_0 @ ( u2_conlat_1 @ sk_ ) )
| ~ ( v1_funct_1 @ ( k5_conlat_2 @ sk_ ) )
| ~ ( v1_funct_2 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ~ ( m1_relset_1 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl10882]) ).
thf(zip_derived_cl2_069,plain,
m1_subset_1 @ sk__2 @ ( u2_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4258_070,plain,
~ ( v1_xboole_0 @ ( u2_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3785]) ).
thf(zip_derived_cl4265_071,plain,
v1_funct_1 @ ( k5_conlat_2 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3701]) ).
thf(zip_derived_cl4749_072,plain,
v1_funct_2 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3704]) ).
thf(zip_derived_cl4836_073,plain,
m1_relset_1 @ ( k5_conlat_2 @ sk_ ) @ ( u2_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3809]) ).
thf(zip_derived_cl11020,plain,
v7_conlat_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl11003,zip_derived_cl2,zip_derived_cl4258,zip_derived_cl4265,zip_derived_cl4749,zip_derived_cl4836]) ).
thf(zip_derived_cl6214_074,plain,
! [X0: $i] :
( ~ ( v7_conlat_1 @ X0 @ sk_ )
| ~ ( r2_hidden @ X0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5361,zip_derived_cl6189]) ).
thf(zip_derived_cl11037,plain,
~ ( r2_hidden @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11020,zip_derived_cl6214]) ).
thf(zip_derived_cl11148,plain,
( ~ ( m1_subset_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl11037]) ).
thf(zip_derived_cl6192_075,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4267,zip_derived_cl6189]) ).
thf(zip_derived_cl11165,plain,
~ ( m1_subset_1 @ ( k8_funct_2 @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) @ ( k4_conlat_2 @ sk_ ) @ sk__1 ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11148,zip_derived_cl6192]) ).
thf(zip_derived_cl11175,plain,
( ~ ( m1_subset_1 @ sk__1 @ ( u1_conlat_1 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_conlat_1 @ sk_ ) )
| ~ ( v1_funct_1 @ ( k4_conlat_2 @ sk_ ) )
| ~ ( v1_funct_2 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) )
| ~ ( m1_relset_1 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl11165]) ).
thf(zip_derived_cl4_076,plain,
m1_subset_1 @ sk__1 @ ( u1_conlat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4259_077,plain,
~ ( v1_xboole_0 @ ( u1_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3788]) ).
thf(zip_derived_cl4263_078,plain,
v1_funct_1 @ ( k4_conlat_2 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl3695]) ).
thf(zip_derived_cl4711_079,plain,
v1_funct_2 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3698]) ).
thf(zip_derived_cl4777_080,plain,
m1_relset_1 @ ( k4_conlat_2 @ sk_ ) @ ( u1_conlat_1 @ sk_ ) @ ( u1_struct_0 @ ( k11_conlat_1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl3806]) ).
thf(zip_derived_cl11192,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl11175,zip_derived_cl4,zip_derived_cl4259,zip_derived_cl4263,zip_derived_cl4711,zip_derived_cl4777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT343+1 : TPTP v9.2.0. Released v3.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iJ7JTDaC6U true
% 0.13/0.34 % Computer : n001.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 14:43:08 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 23.09/3.92 % Solved by fo/fo6_bce.sh.
% 23.09/3.92 % BCE start: 224
% 23.09/3.92 % BCE eliminated: 14
% 23.09/3.92 % PE start: 210
% 23.09/3.92 logic: eq
% 23.09/3.92 % PE eliminated: -61
% 23.09/3.92 % done 1591 iterations in 3.190s
% 23.09/3.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.09/3.92 % SZS output start Refutation
% See solution above
% 23.09/3.92
% 23.09/3.92
% 23.09/3.92 % Terminating...
% 23.09/3.97 % Runner terminated.
% 23.09/3.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------