TSTP Solution File: LAT369+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT369+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rEQU1yBDYB true
% Computer : n002.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 Aug 31 06:47:23 EDT 2023
% Result : Theorem 92.05s 13.74s
% Output : Refutation 92.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 61
% Syntax : Number of formulae : 310 ( 198 unt; 41 typ; 0 def)
% Number of atoms : 833 ( 14 equ; 0 cnn)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 2971 ( 362 ~; 353 |; 163 &;2045 @)
% ( 2 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 73 ( 73 >; 0 *; 0 +; 0 <<)
% Number of symbols : 43 ( 41 usr; 3 con; 0-3 aty)
% Number of variables : 97 ( 0 ^; 97 !; 0 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_lattice3_type,type,
v1_lattice3: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v22_waybel_0_type,type,
v22_waybel_0: $i > $i > $i > $o ).
thf(v2_orders_2_type,type,
v2_orders_2: $i > $o ).
thf(v1_waybel34_type,type,
v1_waybel34: $i > $i > $i > $o ).
thf(v4_waybel_0_type,type,
v4_waybel_0: $i > $i > $o ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(v5_yellow_0_type,type,
v5_yellow_0: $i > $i > $o ).
thf(v3_yellow_0_type,type,
v3_yellow_0: $i > $o ).
thf(v2_lattice3_type,type,
v2_lattice3: $i > $o ).
thf(k3_waybel_1_type,type,
k3_waybel_1: $i > $i > $i > $i ).
thf(m1_yellow_0_type,type,
m1_yellow_0: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(v24_waybel_0_type,type,
v24_waybel_0: $i > $o ).
thf(v7_yellow_0_type,type,
v7_yellow_0: $i > $i > $o ).
thf(v25_waybel_0_type,type,
v25_waybel_0: $i > $o ).
thf(k1_waybel34_type,type,
k1_waybel34: $i > $i > $i > $i ).
thf(v3_lattice3_type,type,
v3_lattice3: $i > $o ).
thf(v3_orders_2_type,type,
v3_orders_2: $i > $o ).
thf(v4_yellow_0_type,type,
v4_yellow_0: $i > $i > $o ).
thf(v1_yellow_0_type,type,
v1_yellow_0: $i > $o ).
thf(v18_waybel_0_type,type,
v18_waybel_0: $i > $i > $i > $o ).
thf(v1_orders_2_type,type,
v1_orders_2: $i > $o ).
thf(k2_yellow_2_type,type,
k2_yellow_2: $i > $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(v1_partfun1_type,type,
v1_partfun1: $i > $i > $i > $o ).
thf(l1_orders_2_type,type,
l1_orders_2: $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v4_orders_2_type,type,
v4_orders_2: $i > $o ).
thf(k2_waybel_1_type,type,
k2_waybel_1: $i > $i > $i > $i ).
thf(k7_grcat_1_type,type,
k7_grcat_1: $i > $i ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(v17_waybel_0_type,type,
v17_waybel_0: $i > $i > $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(v2_yellow_0_type,type,
v2_yellow_0: $i > $o ).
thf(v6_waybel_1_type,type,
v6_waybel_1: $i > $i > $o ).
thf(k2_waybel34_type,type,
k2_waybel34: $i > $i > $i > $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v7_waybel_1_type,type,
v7_waybel_1: $i > $i > $o ).
thf(v3_waybel_0_type,type,
v3_waybel_0: $i > $i > $o ).
thf(t42_waybel34,conjecture,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v7_waybel_1 @ B @ A )
& ( m2_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
=> ( ( v4_waybel_0 @ ( k2_yellow_2 @ A @ A @ B ) @ A )
=> ( v1_waybel34 @ ( k2_waybel_1 @ A @ A @ B ) @ A @ ( k2_yellow_2 @ A @ A @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v7_waybel_1 @ B @ A )
& ( m2_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
=> ( ( v4_waybel_0 @ ( k2_yellow_2 @ A @ A @ B ) @ A )
=> ( v1_waybel34 @ ( k2_waybel_1 @ A @ A @ B ) @ A @ ( k2_yellow_2 @ A @ A @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t42_waybel34]) ).
thf(zip_derived_cl8,plain,
~ ( v1_waybel34 @ ( k2_waybel_1 @ sk_ @ sk_ @ sk__1 ) @ sk_ @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t39_waybel34,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v7_waybel_1 @ B @ A )
& ( m2_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
=> ( ( v18_waybel_0 @ ( k2_waybel_1 @ A @ A @ B ) @ A @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v17_waybel_0 @ ( k3_waybel_1 @ A @ A @ B ) @ ( k2_yellow_2 @ A @ A @ B ) @ A )
& ( ( k2_waybel34 @ ( k2_yellow_2 @ A @ A @ B ) @ A @ ( k2_waybel_1 @ A @ A @ B ) )
= ( k3_waybel_1 @ A @ A @ B ) )
& ( ( k1_waybel34 @ ( k2_yellow_2 @ A @ A @ B ) @ A @ ( k3_waybel_1 @ A @ A @ B ) )
= ( k2_waybel_1 @ A @ A @ B ) ) ) ) ) ).
thf(zip_derived_cl568,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v7_waybel_1 @ X0 @ X1 )
| ~ ( m2_relset_1 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ( ( k1_waybel34 @ ( k2_yellow_2 @ X1 @ X1 @ X0 ) @ X1 @ ( k3_waybel_1 @ X1 @ X1 @ X0 ) )
= ( k2_waybel_1 @ X1 @ X1 @ X0 ) )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[t39_waybel34]) ).
thf(zip_derived_cl16498,plain,
( ~ ( v1_funct_1 @ sk__1 )
| ~ ( v7_waybel_1 @ sk__1 @ sk_ )
| ~ ( m2_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( ( k1_waybel34 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ @ ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 ) )
= ( k2_waybel_1 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( l1_orders_2 @ sk_ )
| ~ ( v3_lattice3 @ sk_ )
| ~ ( v2_lattice3 @ sk_ )
| ~ ( v1_lattice3 @ sk_ )
| ~ ( v4_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ )
| ~ ( v2_orders_2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl568]) ).
thf(zip_derived_cl12,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
v7_waybel_1 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
m2_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_001,plain,
m2_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d17_waybel_1,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( k3_waybel_1 @ A @ B @ C )
= ( k7_grcat_1 @ ( k2_yellow_2 @ A @ B @ C ) ) ) ) ) ) ).
thf(zip_derived_cl179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( ( k3_waybel_1 @ X1 @ X0 @ X2 )
= ( k7_grcat_1 @ ( k2_yellow_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d17_waybel_1]) ).
thf(zip_derived_cl2849,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ( ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 )
= ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) )
| ~ ( v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl179]) ).
thf(zip_derived_cl3,plain,
v1_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(cc1_lattice3,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_lattice3 @ A )
=> ~ ( v3_struct_0 @ A ) ) ) ).
thf(zip_derived_cl79,plain,
! [X0: $i] :
( ~ ( v1_lattice3 @ X0 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc1_lattice3]) ).
thf(zip_derived_cl640,plain,
( ~ ( v3_struct_0 @ sk_ )
| ~ ( l1_orders_2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl79]) ).
thf(zip_derived_cl6,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl6_002,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_003,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_004,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_005,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_006,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl2860,plain,
( ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 )
= ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2849,zip_derived_cl642,zip_derived_cl6,zip_derived_cl11,zip_derived_cl12,zip_derived_cl6,zip_derived_cl642]) ).
thf(zip_derived_cl6_007,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
v3_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
v2_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_008,plain,
v1_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16528,plain,
( ( k1_waybel34 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) )
= ( k2_waybel_1 @ sk_ @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl16498,zip_derived_cl12,zip_derived_cl10,zip_derived_cl9,zip_derived_cl2860,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(t24_waybel34,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_lattice3 @ B )
& ( v2_lattice3 @ B )
& ( v3_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v17_waybel_0 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v22_waybel_0 @ C @ A @ B )
=> ( v1_waybel34 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A ) ) ) ) ) ).
thf(zip_derived_cl563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v22_waybel_0 @ X1 @ X2 @ X0 )
| ( v1_waybel34 @ ( k1_waybel34 @ X2 @ X0 @ X1 ) @ X0 @ X2 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v17_waybel_0 @ X1 @ X2 @ X0 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( l1_orders_2 @ X2 )
| ~ ( v3_lattice3 @ X2 )
| ~ ( v2_lattice3 @ X2 )
| ~ ( v1_lattice3 @ X2 )
| ~ ( v4_orders_2 @ X2 )
| ~ ( v3_orders_2 @ X2 )
| ~ ( v2_orders_2 @ X2 ) ),
inference(cnf,[status(esa)],[t24_waybel34]) ).
thf(zip_derived_cl64405,plain,
( ~ ( v2_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ )
| ~ ( v4_orders_2 @ sk_ )
| ~ ( v1_lattice3 @ sk_ )
| ~ ( v2_lattice3 @ sk_ )
| ~ ( v3_lattice3 @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ~ ( v22_waybel_0 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ )
| ( v1_waybel34 @ ( k2_waybel_1 @ sk_ @ sk_ @ sk__1 ) @ sk_ @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( m2_relset_1 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( v17_waybel_0 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ )
| ~ ( v1_funct_2 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( v1_funct_1 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) )
| ~ ( l1_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v3_lattice3 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v2_lattice3 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v1_lattice3 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v4_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v3_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v2_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16528,zip_derived_cl563]) ).
thf(zip_derived_cl0_009,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_010,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_011,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_012,plain,
v1_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_013,plain,
v2_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_014,plain,
v3_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_015,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_016,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t40_waybel34,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v7_waybel_1 @ B @ A )
& ( m2_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
=> ( ( v4_waybel_0 @ ( k2_yellow_2 @ A @ A @ B ) @ A )
<=> ( v22_waybel_0 @ ( k3_waybel_1 @ A @ A @ B ) @ ( k2_yellow_2 @ A @ A @ B ) @ A ) ) ) ) ).
thf(zip_derived_cl572,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v7_waybel_1 @ X0 @ X1 )
| ~ ( m2_relset_1 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v4_waybel_0 @ ( k2_yellow_2 @ X1 @ X1 @ X0 ) @ X1 )
| ( v22_waybel_0 @ ( k3_waybel_1 @ X1 @ X1 @ X0 ) @ ( k2_yellow_2 @ X1 @ X1 @ X0 ) @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[t40_waybel34]) ).
thf(zip_derived_cl16675,plain,
( ~ ( v1_funct_1 @ sk__1 )
| ~ ( v7_waybel_1 @ sk__1 @ sk_ )
| ~ ( m2_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( v4_waybel_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ )
| ( v22_waybel_0 @ ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 ) @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ~ ( v3_lattice3 @ sk_ )
| ~ ( v2_lattice3 @ sk_ )
| ~ ( v1_lattice3 @ sk_ )
| ~ ( v4_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ )
| ~ ( v2_orders_2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl572]) ).
thf(zip_derived_cl12_017,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_018,plain,
v7_waybel_1 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_019,plain,
m2_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
v4_waybel_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2860_020,plain,
( ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 )
= ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2849,zip_derived_cl642,zip_derived_cl6,zip_derived_cl11,zip_derived_cl12,zip_derived_cl6,zip_derived_cl642]) ).
thf(zip_derived_cl6_021,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_022,plain,
v3_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_023,plain,
v2_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_024,plain,
v1_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_025,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_026,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_027,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16702,plain,
v22_waybel_0 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl16675,zip_derived_cl12,zip_derived_cl10,zip_derived_cl9,zip_derived_cl7,zip_derived_cl2860,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl11_028,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k3_waybel_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_funct_1 @ ( k3_waybel_1 @ A @ B @ C ) )
& ( v1_funct_2 @ ( k3_waybel_1 @ A @ B @ C ) @ ( u1_struct_0 @ ( k2_yellow_2 @ A @ B @ C ) ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ ( k3_waybel_1 @ A @ B @ C ) @ ( u1_struct_0 @ ( k2_yellow_2 @ A @ B @ C ) ) @ ( u1_struct_0 @ B ) ) ) ) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ( m2_relset_1 @ ( k3_waybel_1 @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ ( k2_yellow_2 @ X1 @ X0 @ X2 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k3_waybel_1]) ).
thf(zip_derived_cl3723,plain,
( ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( m2_relset_1 @ ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 ) @ ( u1_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl199]) ).
thf(zip_derived_cl6_029,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_030,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl6_031,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_032,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl12_033,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_034,plain,
m2_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl559,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_cl1120,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(zip_derived_cl2860_035,plain,
( ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 )
= ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2849,zip_derived_cl642,zip_derived_cl6,zip_derived_cl11,zip_derived_cl12,zip_derived_cl6,zip_derived_cl642]) ).
thf(zip_derived_cl3751,plain,
m2_relset_1 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl3723,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120,zip_derived_cl2860]) ).
thf(zip_derived_cl11_036,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl566,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v7_waybel_1 @ X0 @ X1 )
| ~ ( m2_relset_1 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ( v17_waybel_0 @ ( k3_waybel_1 @ X1 @ X1 @ X0 ) @ ( k2_yellow_2 @ X1 @ X1 @ X0 ) @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[t39_waybel34]) ).
thf(zip_derived_cl16377,plain,
( ~ ( v1_funct_1 @ sk__1 )
| ~ ( v7_waybel_1 @ sk__1 @ sk_ )
| ~ ( m2_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( v17_waybel_0 @ ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 ) @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ~ ( v3_lattice3 @ sk_ )
| ~ ( v2_lattice3 @ sk_ )
| ~ ( v1_lattice3 @ sk_ )
| ~ ( v4_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ )
| ~ ( v2_orders_2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl566]) ).
thf(zip_derived_cl12_037,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_038,plain,
v7_waybel_1 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_039,plain,
m2_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2860_040,plain,
( ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 )
= ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2849,zip_derived_cl642,zip_derived_cl6,zip_derived_cl11,zip_derived_cl12,zip_derived_cl6,zip_derived_cl642]) ).
thf(zip_derived_cl6_041,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_042,plain,
v3_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_043,plain,
v2_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_044,plain,
v1_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_045,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_046,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_047,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16404,plain,
v17_waybel_0 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl16377,zip_derived_cl12,zip_derived_cl10,zip_derived_cl9,zip_derived_cl2860,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl1120_048,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(zip_derived_cl198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ( v1_funct_2 @ ( k3_waybel_1 @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ ( k2_yellow_2 @ X1 @ X0 @ X2 ) ) @ ( u1_struct_0 @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k3_waybel_1]) ).
thf(zip_derived_cl3651,plain,
( ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( v1_funct_2 @ ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 ) @ ( u1_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1120,zip_derived_cl198]) ).
thf(zip_derived_cl6_049,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_050,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl6_051,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_052,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl12_053,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_054,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2860_055,plain,
( ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 )
= ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2849,zip_derived_cl642,zip_derived_cl6,zip_derived_cl11,zip_derived_cl12,zip_derived_cl6,zip_derived_cl642]) ).
thf(zip_derived_cl3673,plain,
v1_funct_2 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl3651,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl11,zip_derived_cl2860]) ).
thf(zip_derived_cl11_056,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ( v1_funct_1 @ ( k3_waybel_1 @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[dt_k3_waybel_1]) ).
thf(zip_derived_cl3626,plain,
( ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( v1_funct_1 @ ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl197]) ).
thf(zip_derived_cl6_057,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_058,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl6_059,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_060,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl12_061,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1120_062,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(zip_derived_cl2860_063,plain,
( ( k3_waybel_1 @ sk_ @ sk_ @ sk__1 )
= ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2849,zip_derived_cl642,zip_derived_cl6,zip_derived_cl11,zip_derived_cl12,zip_derived_cl6,zip_derived_cl642]) ).
thf(zip_derived_cl3645,plain,
v1_funct_1 @ ( k7_grcat_1 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3626,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120,zip_derived_cl2860]) ).
thf(zip_derived_cl11_064,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k2_yellow_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A )
& ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B )
& ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v1_orders_2 @ ( k2_yellow_2 @ A @ B @ C ) )
& ( v4_yellow_0 @ ( k2_yellow_2 @ A @ B @ C ) @ B )
& ( m1_yellow_0 @ ( k2_yellow_2 @ A @ B @ C ) @ B ) ) ) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ( m1_yellow_0 @ ( k2_yellow_2 @ X1 @ X0 @ X2 ) @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_2]) ).
thf(zip_derived_cl3576,plain,
( ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( m1_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl195]) ).
thf(zip_derived_cl6_065,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_066,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl6_067,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_068,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl12_069,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1120_070,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(zip_derived_cl3594,plain,
m1_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl3576,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120]) ).
thf(dt_m1_yellow_0,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( m1_yellow_0 @ B @ A )
=> ( l1_orders_2 @ B ) ) ) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_yellow_0 @ X0 @ X1 )
| ( l1_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_yellow_0]) ).
thf(zip_derived_cl3602,plain,
( ( l1_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( l1_orders_2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3594,zip_derived_cl208]) ).
thf(zip_derived_cl6_071,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3610,plain,
l1_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3602,zip_derived_cl6]) ).
thf(zip_derived_cl11_072,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fc10_waybel34,axiom,
! [A: $i,B: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A )
& ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A )
& ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
=> ( ~ ( v3_struct_0 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v1_orders_2 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v2_orders_2 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v3_orders_2 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v4_orders_2 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v1_yellow_0 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v2_yellow_0 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v3_yellow_0 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v4_yellow_0 @ ( k2_yellow_2 @ A @ A @ B ) @ A )
& ( v24_waybel_0 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v25_waybel_0 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v1_lattice3 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v2_lattice3 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v3_lattice3 @ ( k2_yellow_2 @ A @ A @ B ) ) ) ) ).
thf(zip_derived_cl237,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v6_waybel_1 @ X1 @ X0 )
| ~ ( m1_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v25_waybel_0 @ ( k2_yellow_2 @ X0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc10_waybel34]) ).
thf(zip_derived_cl5540,plain,
( ~ ( l1_orders_2 @ sk_ )
| ~ ( v3_lattice3 @ sk_ )
| ~ ( v2_lattice3 @ sk_ )
| ~ ( v1_lattice3 @ sk_ )
| ~ ( v4_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ )
| ~ ( v2_orders_2 @ sk_ )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( v6_waybel_1 @ sk__1 @ sk_ )
| ~ ( m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( v25_waybel_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl237]) ).
thf(zip_derived_cl6_073,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_074,plain,
v3_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_075,plain,
v2_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_076,plain,
v1_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_077,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_078,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_079,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_080,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1120_081,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(cc3_waybel_1,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
=> ( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v7_waybel_1 @ B @ A ) )
=> ( ( v1_funct_1 @ B )
& ~ ( v1_xboole_0 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v6_waybel_1 @ B @ A ) ) ) ) ) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_relset_1 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ( v6_waybel_1 @ X0 @ X1 )
| ~ ( v7_waybel_1 @ X0 @ X1 )
| ~ ( v1_funct_2 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[cc3_waybel_1]) ).
thf(zip_derived_cl1949,plain,
( ( v6_waybel_1 @ sk__1 @ sk_ )
| ~ ( v7_waybel_1 @ sk__1 @ sk_ )
| ~ ( v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1120,zip_derived_cl139]) ).
thf(zip_derived_cl10_082,plain,
v7_waybel_1 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_083,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_084,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_085,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_086,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl1955,plain,
v6_waybel_1 @ sk__1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl1949,zip_derived_cl10,zip_derived_cl11,zip_derived_cl12,zip_derived_cl6,zip_derived_cl642]) ).
thf(zip_derived_cl1120_087,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(zip_derived_cl5556,plain,
v25_waybel_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl5540,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl12,zip_derived_cl1955,zip_derived_cl1120]) ).
thf(cc1_yellow_2,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_yellow_0 @ A )
& ( v2_yellow_0 @ A )
& ( v3_yellow_0 @ A )
& ( v24_waybel_0 @ A )
& ( v25_waybel_0 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A ) ) ) ) ).
thf(zip_derived_cl107,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v24_waybel_0 @ X0 )
| ~ ( v25_waybel_0 @ X0 )
| ( v3_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc1_yellow_2]) ).
thf(zip_derived_cl5560,plain,
( ( v3_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v2_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v3_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v4_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v2_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v24_waybel_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ( v3_lattice3 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( l1_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5556,zip_derived_cl107]) ).
thf(zip_derived_cl3594_088,plain,
m1_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl3576,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120]) ).
thf(cc2_waybel10,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_lattice3 @ A )
& ( v3_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_yellow_0 @ B @ A )
=> ( ( v7_yellow_0 @ B @ A )
=> ~ ( v3_struct_0 @ B ) ) ) ) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_yellow_0 @ X0 @ X1 )
| ~ ( v3_struct_0 @ X0 )
| ~ ( v7_yellow_0 @ X0 @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v3_lattice3 @ X1 )
| ~ ( v2_lattice3 @ X1 )
| ~ ( v1_lattice3 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[cc2_waybel10]) ).
thf(zip_derived_cl3597,plain,
( ~ ( v3_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v7_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ~ ( v3_lattice3 @ sk_ )
| ~ ( v2_lattice3 @ sk_ )
| ~ ( v1_lattice3 @ sk_ )
| ~ ( v4_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ )
| ~ ( v2_orders_2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3594,zip_derived_cl130]) ).
thf(zip_derived_cl6_089,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_090,plain,
v3_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_091,plain,
v2_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_092,plain,
v1_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_093,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_094,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_095,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3605,plain,
( ~ ( v3_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v7_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl3597,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl11_096,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fc10_waybel10,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( l1_orders_2 @ A )
& ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v7_waybel_1 @ B @ A )
& ( m1_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
=> ( ~ ( v3_struct_0 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v1_orders_2 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v2_orders_2 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v3_orders_2 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v4_orders_2 @ ( k2_yellow_2 @ A @ A @ B ) )
& ( v4_yellow_0 @ ( k2_yellow_2 @ A @ A @ B ) @ A )
& ( v5_yellow_0 @ ( k2_yellow_2 @ A @ A @ B ) @ A )
& ( v7_yellow_0 @ ( k2_yellow_2 @ A @ A @ B ) @ A )
& ( v3_waybel_0 @ ( k2_yellow_2 @ A @ A @ B ) @ A ) ) ) ).
thf(zip_derived_cl225,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v7_waybel_1 @ X1 @ X0 )
| ~ ( m1_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v7_yellow_0 @ ( k2_yellow_2 @ X0 @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[fc10_waybel10]) ).
thf(zip_derived_cl4458,plain,
( ~ ( l1_orders_2 @ sk_ )
| ~ ( v4_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ )
| ~ ( v2_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( v7_waybel_1 @ sk__1 @ sk_ )
| ~ ( m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( v7_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl225]) ).
thf(zip_derived_cl6_097,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_098,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_099,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_100,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_101,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl12_102,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_103,plain,
v7_waybel_1 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1120_104,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(zip_derived_cl4473,plain,
v7_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl4458,zip_derived_cl6,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl642,zip_derived_cl12,zip_derived_cl10,zip_derived_cl1120]) ).
thf(zip_derived_cl4474,plain,
~ ( v3_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3605,zip_derived_cl4473]) ).
thf(zip_derived_cl3594_105,plain,
m1_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl3576,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120]) ).
thf(cc6_yellow_0,axiom,
! [A: $i] :
( ( ( v2_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_yellow_0 @ B @ A )
=> ( ( v4_yellow_0 @ B @ A )
=> ( ( v2_orders_2 @ B )
& ( v4_yellow_0 @ B @ A ) ) ) ) ) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_yellow_0 @ X0 @ X1 )
| ( v2_orders_2 @ X0 )
| ~ ( v4_yellow_0 @ X0 @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[cc6_yellow_0]) ).
thf(zip_derived_cl3598,plain,
( ( v2_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v4_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ~ ( v2_orders_2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3594,zip_derived_cl160]) ).
thf(zip_derived_cl11_106,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( v1_funct_1 @ X2 )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ( v4_yellow_0 @ ( k2_yellow_2 @ X1 @ X0 @ X2 ) @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_2]) ).
thf(zip_derived_cl3547,plain,
( ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( v4_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl194]) ).
thf(zip_derived_cl6_107,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_108,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl6_109,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl642_110,plain,
~ ( v3_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6]) ).
thf(zip_derived_cl12_111,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1120_112,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(zip_derived_cl3565,plain,
v4_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl3547,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120]) ).
thf(zip_derived_cl6_113,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_114,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3606,plain,
v2_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl3594_115,plain,
m1_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl3576,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120]) ).
thf(cc7_yellow_0,axiom,
! [A: $i] :
( ( ( v3_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_yellow_0 @ B @ A )
=> ( ( v4_yellow_0 @ B @ A )
=> ( ( v3_orders_2 @ B )
& ( v4_yellow_0 @ B @ A ) ) ) ) ) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_yellow_0 @ X0 @ X1 )
| ( v3_orders_2 @ X0 )
| ~ ( v4_yellow_0 @ X0 @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[cc7_yellow_0]) ).
thf(zip_derived_cl3599,plain,
( ( v3_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v4_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3594,zip_derived_cl166]) ).
thf(zip_derived_cl3565_116,plain,
v4_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl3547,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120]) ).
thf(zip_derived_cl6_117,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_118,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3607,plain,
v3_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3599,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl3594_119,plain,
m1_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl3576,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120]) ).
thf(cc8_yellow_0,axiom,
! [A: $i] :
( ( ( v4_orders_2 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( m1_yellow_0 @ B @ A )
=> ( ( v4_yellow_0 @ B @ A )
=> ( ( v4_orders_2 @ B )
& ( v4_yellow_0 @ B @ A ) ) ) ) ) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_yellow_0 @ X0 @ X1 )
| ( v4_orders_2 @ X0 )
| ~ ( v4_yellow_0 @ X0 @ X1 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v4_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[cc8_yellow_0]) ).
thf(zip_derived_cl3600,plain,
( ( v4_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v4_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_ )
| ~ ( l1_orders_2 @ sk_ )
| ~ ( v4_orders_2 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3594,zip_derived_cl172]) ).
thf(zip_derived_cl3565_120,plain,
v4_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl3547,zip_derived_cl6,zip_derived_cl642,zip_derived_cl6,zip_derived_cl642,zip_derived_cl12,zip_derived_cl1120]) ).
thf(zip_derived_cl6_121,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_122,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3608,plain,
v4_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3600,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl11_123,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl233,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v6_waybel_1 @ X1 @ X0 )
| ~ ( m1_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v2_yellow_0 @ ( k2_yellow_2 @ X0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc10_waybel34]) ).
thf(zip_derived_cl5087,plain,
( ~ ( l1_orders_2 @ sk_ )
| ~ ( v3_lattice3 @ sk_ )
| ~ ( v2_lattice3 @ sk_ )
| ~ ( v1_lattice3 @ sk_ )
| ~ ( v4_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ )
| ~ ( v2_orders_2 @ sk_ )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( v6_waybel_1 @ sk__1 @ sk_ )
| ~ ( m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( v2_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl233]) ).
thf(zip_derived_cl6_124,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_125,plain,
v3_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_126,plain,
v2_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_127,plain,
v1_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_128,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_129,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_130,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_131,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1955_132,plain,
v6_waybel_1 @ sk__1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl1949,zip_derived_cl10,zip_derived_cl11,zip_derived_cl12,zip_derived_cl6,zip_derived_cl642]) ).
thf(zip_derived_cl1120_133,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(zip_derived_cl5103,plain,
v2_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl5087,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl12,zip_derived_cl1955,zip_derived_cl1120]) ).
thf(zip_derived_cl11_134,plain,
v1_funct_2 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl236,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ X0 )
| ~ ( v3_lattice3 @ X0 )
| ~ ( v2_lattice3 @ X0 )
| ~ ( v1_lattice3 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v3_orders_2 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v6_waybel_1 @ X1 @ X0 )
| ~ ( m1_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v24_waybel_0 @ ( k2_yellow_2 @ X0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc10_waybel34]) ).
thf(zip_derived_cl5437,plain,
( ~ ( l1_orders_2 @ sk_ )
| ~ ( v3_lattice3 @ sk_ )
| ~ ( v2_lattice3 @ sk_ )
| ~ ( v1_lattice3 @ sk_ )
| ~ ( v4_orders_2 @ sk_ )
| ~ ( v3_orders_2 @ sk_ )
| ~ ( v2_orders_2 @ sk_ )
| ~ ( v1_funct_1 @ sk__1 )
| ~ ( v6_waybel_1 @ sk__1 @ sk_ )
| ~ ( m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( v24_waybel_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl236]) ).
thf(zip_derived_cl6_135,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_136,plain,
v3_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_137,plain,
v2_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_138,plain,
v1_lattice3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_139,plain,
v4_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_140,plain,
v3_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_141,plain,
v2_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_142,plain,
v1_funct_1 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1955_143,plain,
v6_waybel_1 @ sk__1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl1949,zip_derived_cl10,zip_derived_cl11,zip_derived_cl12,zip_derived_cl6,zip_derived_cl642]) ).
thf(zip_derived_cl1120_144,plain,
m1_relset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl559]) ).
thf(zip_derived_cl5453,plain,
v24_waybel_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl5437,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl12,zip_derived_cl1955,zip_derived_cl1120]) ).
thf(zip_derived_cl3610_145,plain,
l1_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3602,zip_derived_cl6]) ).
thf(zip_derived_cl5563,plain,
v3_lattice3 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl5560,zip_derived_cl4474,zip_derived_cl3606,zip_derived_cl3607,zip_derived_cl3608,zip_derived_cl5103,zip_derived_cl5453,zip_derived_cl3610]) ).
thf(zip_derived_cl5556_146,plain,
v25_waybel_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl5540,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl12,zip_derived_cl1955,zip_derived_cl1120]) ).
thf(cc13_waybel_0,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_lattice3 @ A ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v25_waybel_0 @ X0 )
| ( v2_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc13_waybel_0]) ).
thf(zip_derived_cl5558,plain,
( ( v3_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v2_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v4_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ( v2_lattice3 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( l1_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5556,zip_derived_cl51]) ).
thf(zip_derived_cl4474_147,plain,
~ ( v3_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3605,zip_derived_cl4473]) ).
thf(zip_derived_cl3606_148,plain,
v2_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl3608_149,plain,
v4_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3600,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl3610_150,plain,
l1_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3602,zip_derived_cl6]) ).
thf(zip_derived_cl5561,plain,
v2_lattice3 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl5558,zip_derived_cl4474,zip_derived_cl3606,zip_derived_cl3608,zip_derived_cl3610]) ).
thf(zip_derived_cl5556_151,plain,
v25_waybel_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl5540,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl12,zip_derived_cl1955,zip_derived_cl1120]) ).
thf(cc14_waybel_0,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v2_yellow_0 @ A )
& ( v25_waybel_0 @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_lattice3 @ A )
& ( v2_yellow_0 @ A ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v2_orders_2 @ X0 )
| ~ ( v4_orders_2 @ X0 )
| ~ ( v2_yellow_0 @ X0 )
| ~ ( v25_waybel_0 @ X0 )
| ( v1_lattice3 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[cc14_waybel_0]) ).
thf(zip_derived_cl5559,plain,
( ( v3_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v2_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v4_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( v2_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ( v1_lattice3 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) )
| ~ ( l1_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5556,zip_derived_cl58]) ).
thf(zip_derived_cl4474_152,plain,
~ ( v3_struct_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3605,zip_derived_cl4473]) ).
thf(zip_derived_cl3606_153,plain,
v2_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl3608_154,plain,
v4_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3600,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl5103_155,plain,
v2_yellow_0 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl5087,zip_derived_cl6,zip_derived_cl5,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl12,zip_derived_cl1955,zip_derived_cl1120]) ).
thf(zip_derived_cl3610_156,plain,
l1_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3602,zip_derived_cl6]) ).
thf(zip_derived_cl5562,plain,
v1_lattice3 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl5559,zip_derived_cl4474,zip_derived_cl3606,zip_derived_cl3608,zip_derived_cl5103,zip_derived_cl3610]) ).
thf(zip_derived_cl3608_157,plain,
v4_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3600,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl3607_158,plain,
v3_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3599,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl3606_159,plain,
v2_orders_2 @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl3565,zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl64421,plain,
v1_waybel34 @ ( k2_waybel_1 @ sk_ @ sk_ @ sk__1 ) @ sk_ @ ( k2_yellow_2 @ sk_ @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl64405,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl5,zip_derived_cl6,zip_derived_cl16702,zip_derived_cl3751,zip_derived_cl16404,zip_derived_cl3673,zip_derived_cl3645,zip_derived_cl3610,zip_derived_cl5563,zip_derived_cl5561,zip_derived_cl5562,zip_derived_cl3608,zip_derived_cl3607,zip_derived_cl3606]) ).
thf(zip_derived_cl64465,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl64421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT369+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rEQU1yBDYB true
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 08:21:31 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.26/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.26/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.21/1.64 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 92.05/13.74 % Solved by fo/fo13.sh.
% 92.05/13.74 % done 7469 iterations in 12.946s
% 92.05/13.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 92.05/13.74 % SZS output start Refutation
% See solution above
% 92.05/13.75
% 92.05/13.75
% 92.23/13.75 % Terminating...
% 92.23/13.79 % Runner terminated.
% 92.23/13.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------