TSTP Solution File: GRP620+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP620+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.ZFImSS9C0H true
% Computer : n008.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 01:52:21 EDT 2023
% Result : Theorem 1.36s 1.46s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 53
% Syntax : Number of formulae : 252 ( 103 unt; 33 typ; 0 def)
% Number of atoms : 1069 ( 54 equ; 0 cnn)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 3638 ( 637 ~; 714 |; 88 &;2151 @)
% ( 12 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 62 ( 62 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 3 con; 0-4 aty)
% Number of variables : 213 ( 0 ^; 213 !; 0 ?; 213 :)
% Comments :
%------------------------------------------------------------------------------
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v1_fraenkel_type,type,
v1_fraenkel: $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(v3_group_6_type,type,
v3_group_6: $i > $i > $i > $o ).
thf(v1_group_6_type,type,
v1_group_6: $i > $i > $i > $o ).
thf(v2_funct_1_type,type,
v2_funct_1: $i > $o ).
thf(l1_group_1_type,type,
l1_group_1: $i > $o ).
thf(m2_fraenkel_type,type,
m2_fraenkel: $i > $i > $i > $i > $o ).
thf(k2_funct_1_type,type,
k2_funct_1: $i > $i ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(v1_group_1_type,type,
v1_group_1: $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(m1_fraenkel_type,type,
m1_fraenkel: $i > $i > $i > $o ).
thf(k1_autgroup_type,type,
k1_autgroup: $i > $i ).
thf(v2_group_6_type,type,
v2_group_6: $i > $i > $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(v4_group_6_type,type,
v4_group_6: $i > $i > $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(v3_group_1_type,type,
v3_group_1: $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(dt_k1_autgroup,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( m1_fraenkel @ ( k1_autgroup @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k1_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_autgroup]) ).
thf(dt_m1_fraenkel,axiom,
! [A: $i,B: $i,C: $i] :
( ( m1_fraenkel @ C @ A @ B )
=> ( ~ ( v1_xboole_0 @ C )
& ( v1_fraenkel @ C ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[dt_m1_fraenkel]) ).
thf(zip_derived_cl1483,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_xboole_0 @ ( k1_autgroup @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl49]) ).
thf(t7_autgroup,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m2_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k1_autgroup @ A ) )
=> ( m2_fraenkel @ ( k2_funct_1 @ B ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k1_autgroup @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m2_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k1_autgroup @ A ) )
=> ( m2_fraenkel @ ( k2_funct_1 @ B ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k1_autgroup @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t7_autgroup]) ).
thf(zip_derived_cl132,plain,
m2_fraenkel @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t6_autgroup,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m2_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k1_autgroup @ A ) )
=> ( ( v1_funct_1 @ ( k2_funct_1 @ B ) )
& ( v1_funct_2 @ ( k2_funct_1 @ B ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_group_6 @ ( k2_funct_1 @ B ) @ A @ A )
& ( m2_relset_1 @ ( k2_funct_1 @ B ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( k1_autgroup @ X1 ) )
| ( m2_relset_1 @ ( k2_funct_1 @ X0 ) @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t6_autgroup]) ).
thf(zip_derived_cl2935,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( m2_relset_1 @ ( k2_funct_1 @ sk__23 ) @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl119]) ).
thf(zip_derived_cl126,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2936,plain,
m2_relset_1 @ ( k2_funct_1 @ sk__23 ) @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ),
inference(demod,[status(thm)],[zip_derived_cl2935,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl132_001,plain,
m2_fraenkel @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_002,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k1_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_autgroup]) ).
thf(redefinition_m2_fraenkel,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_fraenkel @ C @ A @ B ) )
=> ! [D: $i] :
( ( m2_fraenkel @ D @ A @ B @ C )
<=> ( m1_subset_1 @ D @ C ) ) ) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
| ( m1_subset_1 @ X3 @ X1 )
| ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_m2_fraenkel]) ).
thf(zip_derived_cl1488,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ( m1_subset_1 @ X1 @ ( k1_autgroup @ X0 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl107]) ).
thf(dt_l1_group_1,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_group_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_group_1]) ).
thf(fc1_struct_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A ) )
=> ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_struct_0 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl1155,plain,
! [X0: $i] :
( ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl67]) ).
thf(zip_derived_cl3025,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X1 @ ( k1_autgroup @ X0 ) )
| ~ ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1488,zip_derived_cl1155]) ).
thf(zip_derived_cl3027,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( m1_subset_1 @ sk__23 @ ( k1_autgroup @ sk__22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3025]) ).
thf(zip_derived_cl126_003,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_004,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_005,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_006,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_007,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3028,plain,
m1_subset_1 @ sk__23 @ ( k1_autgroup @ sk__22 ),
inference(demod,[status(thm)],[zip_derived_cl3027,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) ).
thf(zip_derived_cl112,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_cl3030,plain,
( ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ( r2_hidden @ sk__23 @ ( k1_autgroup @ sk__22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3028,zip_derived_cl112]) ).
thf(zip_derived_cl132_008,plain,
m2_fraenkel @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_009,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k1_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_autgroup]) ).
thf(dt_m2_fraenkel,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_fraenkel @ C @ A @ B ) )
=> ! [D: $i] :
( ( m2_fraenkel @ D @ A @ B @ C )
=> ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ A @ B )
& ( m2_relset_1 @ D @ A @ B ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
| ( m2_relset_1 @ X3 @ X2 @ X0 )
| ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).
thf(zip_derived_cl1486,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl53]) ).
thf(zip_derived_cl1155_010,plain,
! [X0: $i] :
( ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl67]) ).
thf(zip_derived_cl3162,plain,
! [X0: $i,X1: $i] :
( ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1486,zip_derived_cl1155]) ).
thf(zip_derived_cl3166,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3162]) ).
thf(zip_derived_cl126_011,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_012,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_013,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_014,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_015,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3168,plain,
m2_relset_1 @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ),
inference(demod,[status(thm)],[zip_derived_cl3166,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl45_016,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k1_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_autgroup]) ).
thf(d1_autgroup,axiom,
! [A: $i] :
( ( ( l1_group_1 @ A )
& ( v4_group_1 @ A )
& ( v3_group_1 @ A )
& ( v1_group_1 @ A )
& ~ ( v3_struct_0 @ A ) )
=> ! [B: $i] :
( ( m1_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
=> ( ( B
= ( k1_autgroup @ A ) )
<=> ( ! [C: $i] :
( ( ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_group_6 @ C @ A @ A )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_funct_1 @ C ) )
=> ( ( r2_hidden @ C @ B )
<=> ( ( v3_group_6 @ C @ A @ A )
& ( v2_funct_1 @ C ) ) ) )
& ! [C: $i] :
( ( m2_fraenkel @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ B )
=> ( ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_group_6 @ C @ A @ A )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_funct_1 @ C ) ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [C: $i,A: $i] :
( ( zip_tseitin_0 @ C @ A )
<=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_group_6 @ C @ A @ A )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( m2_relset_1 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_group_6 @ X0 @ X1 @ X1 )
| ~ ( v1_funct_2 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_funct_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_3 @ C @ B @ A )
<=> ( ( m2_fraenkel @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ B )
=> ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_group_6 @ C @ A @ A )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_2 @ C @ B @ A )
<=> ( ( zip_tseitin_0 @ C @ A )
=> ( ( r2_hidden @ C @ B )
<=> ( zip_tseitin_1 @ C @ A ) ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [C: $i,A: $i] :
( ( zip_tseitin_1 @ C @ A )
<=> ( ( v2_funct_1 @ C )
& ( v3_group_6 @ C @ A @ A ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
=> ( ( B
= ( k1_autgroup @ A ) )
<=> ( ! [C: $i] : ( zip_tseitin_3 @ C @ B @ A )
& ! [C: $i] : ( zip_tseitin_2 @ C @ B @ A ) ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ( X0
!= ( k1_autgroup @ X1 ) )
| ( zip_tseitin_2 @ X2 @ X0 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( r2_hidden @ X0 @ X2 )
| ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( X1
!= ( k1_autgroup @ X0 ) )
| ~ ( m1_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( zip_tseitin_1 @ X2 @ X0 )
| ~ ( r2_hidden @ X2 @ X1 )
| ~ ( zip_tseitin_0 @ X2 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl29]) ).
thf(zip_derived_cl1173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( r2_hidden @ X1 @ X2 )
| ( zip_tseitin_1 @ X1 @ X0 )
| ~ ( m1_fraenkel @ X2 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( X2
!= ( k1_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl1164]) ).
thf(zip_derived_cl1492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k1_autgroup @ X0 )
!= X3 )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ X2 ) )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ X2 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ X2 )
| ~ ( v1_group_1 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( l1_group_1 @ X2 )
| ( X3
!= ( k1_autgroup @ X2 ) )
| ( zip_tseitin_1 @ X1 @ X2 )
| ~ ( r2_hidden @ X1 @ X3 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_group_6 @ X1 @ X2 @ X2 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_funct_1 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl1173]) ).
thf(zip_derived_cl3537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_group_6 @ X1 @ X2 @ X2 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( r2_hidden @ X1 @ X3 )
| ( zip_tseitin_1 @ X1 @ X2 )
| ( X3
!= ( k1_autgroup @ X2 ) )
| ~ ( l1_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ~ ( v1_group_1 @ X2 )
| ( v3_struct_0 @ X2 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ X2 ) )
| ( ( k1_autgroup @ X0 )
!= X3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1492]) ).
thf(zip_derived_cl3544,plain,
! [X0: $i,X1: $i] :
( ( ( k1_autgroup @ X0 )
!= X1 )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ sk__22 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( X1
!= ( k1_autgroup @ sk__22 ) )
| ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ~ ( r2_hidden @ sk__23 @ X1 )
| ~ ( v1_group_6 @ sk__23 @ sk__22 @ sk__22 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) )
| ~ ( v1_funct_1 @ sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3168,zip_derived_cl3537]) ).
thf(zip_derived_cl126_017,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_018,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_019,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_020,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_021,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_022,plain,
m2_fraenkel @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_023,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k1_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_autgroup]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
| ( v1_funct_2 @ X3 @ X2 @ X0 )
| ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).
thf(zip_derived_cl1485,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl52]) ).
thf(zip_derived_cl1155_024,plain,
! [X0: $i] :
( ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl67]) ).
thf(zip_derived_cl3116,plain,
! [X0: $i,X1: $i] :
( ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1485,zip_derived_cl1155]) ).
thf(zip_derived_cl3118,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3116]) ).
thf(zip_derived_cl126_025,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_026,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_027,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_028,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_029,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3119,plain,
v1_funct_2 @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ),
inference(demod,[status(thm)],[zip_derived_cl3118,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl132_030,plain,
m2_fraenkel @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_031,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k1_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_autgroup]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
| ( v1_funct_1 @ X3 )
| ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).
thf(zip_derived_cl1484,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ( v1_funct_1 @ X1 )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl51]) ).
thf(zip_derived_cl1155_032,plain,
! [X0: $i] :
( ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl67]) ).
thf(zip_derived_cl2909,plain,
! [X0: $i,X1: $i] :
( ( v1_funct_1 @ X1 )
| ~ ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1484,zip_derived_cl1155]) ).
thf(zip_derived_cl2911,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( v1_funct_1 @ sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl2909]) ).
thf(zip_derived_cl126_033,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_034,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_035,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_036,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_037,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2912,plain,
v1_funct_1 @ sk__23,
inference(demod,[status(thm)],[zip_derived_cl2911,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl3549,plain,
! [X0: $i,X1: $i] :
( ( ( k1_autgroup @ X0 )
!= X1 )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ sk__22 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( X1
!= ( k1_autgroup @ sk__22 ) )
| ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ~ ( r2_hidden @ sk__23 @ X1 )
| ~ ( v1_group_6 @ sk__23 @ sk__22 @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl3544,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl3119,zip_derived_cl2912]) ).
thf(zip_derived_cl132_038,plain,
m2_fraenkel @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_039,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k1_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_autgroup]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ( X0
!= ( k1_autgroup @ X1 ) )
| ( zip_tseitin_3 @ X2 @ X0 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ X2 )
| ( v1_group_6 @ X0 @ X1 @ X1 )
| ~ ( zip_tseitin_3 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( X1
!= ( k1_autgroup @ X0 ) )
| ~ ( m1_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v1_group_6 @ X2 @ X0 @ X0 )
| ~ ( m2_fraenkel @ X2 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl35]) ).
thf(zip_derived_cl1501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k1_autgroup @ X0 )
!= X2 )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ X1 ) )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ X1 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( m2_fraenkel @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ X2 )
| ( v1_group_6 @ X3 @ X1 @ X1 )
| ( X2
!= ( k1_autgroup @ X1 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl1191]) ).
thf(zip_derived_cl3636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v3_struct_0 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ( X2
!= ( k1_autgroup @ X1 ) )
| ( v1_group_6 @ X3 @ X1 @ X1 )
| ~ ( m2_fraenkel @ X3 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ X2 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ X1 ) )
| ( ( k1_autgroup @ X0 )
!= X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1501]) ).
thf(zip_derived_cl3641,plain,
! [X0: $i] :
( ( ( k1_autgroup @ X0 )
!= ( k1_autgroup @ sk__22 ) )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ sk__22 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( v1_group_6 @ sk__23 @ sk__22 @ sk__22 )
| ( ( k1_autgroup @ sk__22 )
!= ( k1_autgroup @ sk__22 ) )
| ~ ( l1_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl3636]) ).
thf(zip_derived_cl130_040,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_041,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_042,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_043,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_044,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3646,plain,
! [X0: $i] :
( ( ( k1_autgroup @ X0 )
!= ( k1_autgroup @ sk__22 ) )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ sk__22 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( v1_group_6 @ sk__23 @ sk__22 @ sk__22 )
| ( ( k1_autgroup @ sk__22 )
!= ( k1_autgroup @ sk__22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3641,zip_derived_cl130,zip_derived_cl129,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl3647,plain,
! [X0: $i] :
( ( v1_group_6 @ sk__23 @ sk__22 @ sk__22 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ sk__22 ) )
| ( ( k1_autgroup @ X0 )
!= ( k1_autgroup @ sk__22 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3646]) ).
thf(zip_derived_cl3651,plain,
( ( ( u1_struct_0 @ sk__22 )
!= ( u1_struct_0 @ sk__22 ) )
| ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( v1_group_6 @ sk__23 @ sk__22 @ sk__22 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3647]) ).
thf(zip_derived_cl3652,plain,
( ( v1_group_6 @ sk__23 @ sk__22 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3651]) ).
thf(zip_derived_cl130_045,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_046,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_047,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_048,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_049,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3653,plain,
v1_group_6 @ sk__23 @ sk__22 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl3652,zip_derived_cl130,zip_derived_cl129,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl3656,plain,
! [X0: $i,X1: $i] :
( ( ( k1_autgroup @ X0 )
!= X1 )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ sk__22 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( X1
!= ( k1_autgroup @ sk__22 ) )
| ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ~ ( r2_hidden @ sk__23 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3549,zip_derived_cl3653]) ).
thf(zip_derived_cl3722,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ( ( k1_autgroup @ sk__22 )
!= ( k1_autgroup @ sk__22 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ sk__22 ) )
| ( ( k1_autgroup @ X0 )
!= ( k1_autgroup @ sk__22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3030,zip_derived_cl3656]) ).
thf(zip_derived_cl3727,plain,
! [X0: $i] :
( ( ( k1_autgroup @ X0 )
!= ( k1_autgroup @ sk__22 ) )
| ( ( u1_struct_0 @ X0 )
!= ( u1_struct_0 @ sk__22 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3722]) ).
thf(zip_derived_cl3737,plain,
( ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ( ( u1_struct_0 @ sk__22 )
!= ( u1_struct_0 @ sk__22 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3727]) ).
thf(zip_derived_cl3738,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3737]) ).
thf(zip_derived_cl126_050,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_051,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_052,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_053,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_054,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3739,plain,
( ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3738,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( v2_funct_1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(d12_group_6,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v2_group_6 @ C @ A @ B )
<=> ( v2_funct_1 @ C ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v2_funct_1 @ X1 )
| ( v2_group_6 @ X1 @ X2 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X2 @ X0 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( l1_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(cnf,[status(esa)],[d12_group_6]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( v3_group_6 @ X0 @ X1 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(d14_group_6,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ C @ A @ B )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v4_group_6 @ C @ A @ B )
<=> ( ( v3_group_6 @ C @ A @ B )
& ( v2_group_6 @ C @ A @ B ) ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v3_group_6 @ X1 @ X2 @ X0 )
| ~ ( v2_group_6 @ X1 @ X2 @ X0 )
| ( v4_group_6 @ X1 @ X2 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X2 @ X0 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( l1_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(cnf,[status(esa)],[d14_group_6]) ).
thf(zip_derived_cl1141,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v4_group_6 @ X1 @ X0 @ X0 )
| ~ ( v2_group_6 @ X1 @ X0 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl18]) ).
thf(zip_derived_cl1146,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v2_funct_1 @ X1 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( v4_group_6 @ X1 @ X0 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl1141]) ).
thf(zip_derived_cl1180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X2 )
| ( v3_struct_0 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( l1_group_1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_group_6 @ X0 @ X2 @ X2 )
| ~ ( m2_relset_1 @ X0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ( v4_group_6 @ X0 @ X2 @ X2 )
| ~ ( l1_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ( v3_struct_0 @ X2 )
| ( v3_struct_0 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( l1_group_1 @ X2 )
| ~ ( m2_relset_1 @ X0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_group_6 @ X0 @ X2 @ X2 )
| ~ ( v1_funct_2 @ X0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( l1_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl1146]) ).
thf(zip_derived_cl3160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v4_group_6 @ X0 @ X2 @ X2 )
| ~ ( m2_relset_1 @ X0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_group_6 @ X0 @ X2 @ X2 )
| ~ ( v1_funct_2 @ X0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( l1_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ( v3_struct_0 @ X2 )
| ~ ( zip_tseitin_1 @ X0 @ X2 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1180]) ).
thf(zip_derived_cl3740,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ~ ( zip_tseitin_1 @ sk__23 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_funct_1 @ sk__23 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ sk__23 @ X0 @ X0 )
| ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v4_group_6 @ sk__23 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3739,zip_derived_cl3160]) ).
thf(zip_derived_cl2912_055,plain,
v1_funct_1 @ sk__23,
inference(demod,[status(thm)],[zip_derived_cl2911,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl3742,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ~ ( zip_tseitin_1 @ sk__23 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ sk__23 @ X0 @ X0 )
| ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v4_group_6 @ sk__23 @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3740,zip_derived_cl2912]) ).
thf(t73_group_6,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v3_group_1 @ B )
& ( v4_group_1 @ B )
& ( l1_group_1 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) )
& ( v1_group_6 @ C @ B @ A )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) )
=> ! [D: $i] :
( ( ( v1_funct_1 @ D )
& ( v1_funct_2 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( v1_group_6 @ D @ A @ B )
& ( m2_relset_1 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( ( v4_group_6 @ C @ B @ A )
& ( D
= ( k2_funct_1 @ C ) ) )
=> ( v4_group_6 @ D @ A @ B ) ) ) ) ) ) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X2 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ( v4_group_6 @ X1 @ X2 @ X0 )
| ( X1
!= ( k2_funct_1 @ X3 ) )
| ~ ( v4_group_6 @ X3 @ X0 @ X2 )
| ~ ( m2_relset_1 @ X3 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_group_6 @ X3 @ X0 @ X2 )
| ~ ( v1_funct_2 @ X3 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X2 ) )
| ~ ( v1_funct_1 @ X3 )
| ~ ( l1_group_1 @ X2 )
| ~ ( v4_group_1 @ X2 )
| ~ ( v3_group_1 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(cnf,[status(esa)],[t73_group_6]) ).
thf(zip_derived_cl3800,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ sk__23 @ X0 @ X0 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( zip_tseitin_1 @ sk__23 @ X0 )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_funct_1 @ sk__23 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ sk__23 @ X0 @ X0 )
| ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( X1
!= ( k2_funct_1 @ sk__23 ) )
| ( v4_group_6 @ X1 @ X0 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3742,zip_derived_cl123]) ).
thf(zip_derived_cl2912_056,plain,
v1_funct_1 @ sk__23,
inference(demod,[status(thm)],[zip_derived_cl2911,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl3814,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ sk__23 @ X0 @ X0 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( zip_tseitin_1 @ sk__23 @ X0 )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ sk__23 @ X0 @ X0 )
| ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( X1
!= ( k2_funct_1 @ sk__23 ) )
| ( v4_group_6 @ X1 @ X0 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3800,zip_derived_cl2912]) ).
thf(zip_derived_cl3815,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( v4_group_6 @ X1 @ X0 @ X0 )
| ( X1
!= ( k2_funct_1 @ sk__23 ) )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ~ ( zip_tseitin_1 @ sk__23 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ sk__23 @ X0 @ X0 )
| ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3814]) ).
thf(t5_autgroup,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) )
& ( v1_group_6 @ B @ A @ A )
& ( m2_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) )
=> ( ( r2_hidden @ B @ ( k1_autgroup @ A ) )
<=> ( v4_group_6 @ B @ A @ A ) ) ) ) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_funct_1 @ X0 )
| ~ ( v1_funct_2 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_group_6 @ X0 @ X1 @ X1 )
| ~ ( m2_relset_1 @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( v4_group_6 @ X0 @ X1 @ X1 )
| ( r2_hidden @ X0 @ ( k1_autgroup @ X1 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t5_autgroup]) ).
thf(zip_derived_cl4039,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ sk__23 @ X0 @ X0 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( zip_tseitin_1 @ sk__23 @ X0 )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ( X1
!= ( k2_funct_1 @ sk__23 ) )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ( r2_hidden @ X1 @ ( k1_autgroup @ X0 ) )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3815,zip_derived_cl116]) ).
thf(zip_derived_cl4057,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ X1 @ ( k1_autgroup @ X0 ) )
| ~ ( v1_group_1 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ X1 @ X0 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ( X1
!= ( k2_funct_1 @ sk__23 ) )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ~ ( zip_tseitin_1 @ sk__23 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_group_6 @ sk__23 @ X0 @ X0 )
| ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4039]) ).
thf(zip_derived_cl4364,plain,
( ~ ( m2_relset_1 @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) )
| ~ ( v1_group_6 @ sk__23 @ sk__22 @ sk__22 )
| ~ ( v1_funct_2 @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) )
| ~ ( l1_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 )
| ~ ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ( ( k2_funct_1 @ sk__23 )
!= ( k2_funct_1 @ sk__23 ) )
| ~ ( v1_group_6 @ ( k2_funct_1 @ sk__23 ) @ sk__22 @ sk__22 )
| ~ ( v1_funct_2 @ ( k2_funct_1 @ sk__23 ) @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) )
| ~ ( v1_funct_1 @ ( k2_funct_1 @ sk__23 ) )
| ~ ( v1_group_1 @ sk__22 )
| ( r2_hidden @ ( k2_funct_1 @ sk__23 ) @ ( k1_autgroup @ sk__22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2936,zip_derived_cl4057]) ).
thf(zip_derived_cl3168_057,plain,
m2_relset_1 @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ),
inference(demod,[status(thm)],[zip_derived_cl3166,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl3653_058,plain,
v1_group_6 @ sk__23 @ sk__22 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl3652,zip_derived_cl130,zip_derived_cl129,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl3119_059,plain,
v1_funct_2 @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ),
inference(demod,[status(thm)],[zip_derived_cl3118,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl130_060,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_061,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_062,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_063,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_064,plain,
m2_fraenkel @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( k1_autgroup @ X1 ) )
| ( v1_group_6 @ ( k2_funct_1 @ X0 ) @ X1 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t6_autgroup]) ).
thf(zip_derived_cl2906,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( v1_group_6 @ ( k2_funct_1 @ sk__23 ) @ sk__22 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl120]) ).
thf(zip_derived_cl126_065,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_066,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_067,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_068,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_069,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2907,plain,
v1_group_6 @ ( k2_funct_1 @ sk__23 ) @ sk__22 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl2906,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl132_070,plain,
m2_fraenkel @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( k1_autgroup @ X1 ) )
| ( v1_funct_2 @ ( k2_funct_1 @ X0 ) @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t6_autgroup]) ).
thf(zip_derived_cl3010,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( v1_funct_2 @ ( k2_funct_1 @ sk__23 ) @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl121]) ).
thf(zip_derived_cl126_071,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_072,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_073,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_074,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_075,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3011,plain,
v1_funct_2 @ ( k2_funct_1 @ sk__23 ) @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ),
inference(demod,[status(thm)],[zip_derived_cl3010,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl132_076,plain,
m2_fraenkel @ sk__23 @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( k1_autgroup @ X1 ) )
| ( v1_funct_1 @ ( k2_funct_1 @ X0 ) )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t6_autgroup]) ).
thf(zip_derived_cl2898,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ( v1_funct_1 @ ( k2_funct_1 @ sk__23 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl122]) ).
thf(zip_derived_cl126_077,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_078,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_079,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_080,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_081,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2899,plain,
v1_funct_1 @ ( k2_funct_1 @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl2898,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl127_082,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131,plain,
~ ( m2_fraenkel @ ( k2_funct_1 @ sk__23 ) @ ( u1_struct_0 @ sk__22 ) @ ( u1_struct_0 @ sk__22 ) @ ( k1_autgroup @ sk__22 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_083,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k1_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_autgroup]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
| ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 )
| ~ ( m1_subset_1 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_m2_fraenkel]) ).
thf(zip_derived_cl1489,plain,
! [X0: $i,X1: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( l1_group_1 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_autgroup @ X0 ) )
| ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl108]) ).
thf(zip_derived_cl1155_084,plain,
! [X0: $i] :
( ~ ( l1_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl67]) ).
thf(zip_derived_cl3121,plain,
! [X0: $i,X1: $i] :
( ( m2_fraenkel @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k1_autgroup @ X0 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_autgroup @ X0 ) )
| ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ~ ( v1_group_1 @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1489,zip_derived_cl1155]) ).
thf(zip_derived_cl3138,plain,
( ( v3_struct_0 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( l1_group_1 @ sk__22 )
| ~ ( m1_subset_1 @ ( k2_funct_1 @ sk__23 ) @ ( k1_autgroup @ sk__22 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl3121]) ).
thf(zip_derived_cl126_085,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_086,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_087,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_088,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_089,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3146,plain,
~ ( m1_subset_1 @ ( k2_funct_1 @ sk__23 ) @ ( k1_autgroup @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl3138,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ X1 )
| ~ ( r2_hidden @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl3156,plain,
~ ( r2_hidden @ ( k2_funct_1 @ sk__23 ) @ ( k1_autgroup @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3146,zip_derived_cl111]) ).
thf(zip_derived_cl4375,plain,
( ~ ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ( ( k2_funct_1 @ sk__23 )
!= ( k2_funct_1 @ sk__23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4364,zip_derived_cl3168,zip_derived_cl3653,zip_derived_cl3119,zip_derived_cl130,zip_derived_cl129,zip_derived_cl128,zip_derived_cl126,zip_derived_cl2907,zip_derived_cl3011,zip_derived_cl2899,zip_derived_cl127,zip_derived_cl3156]) ).
thf(zip_derived_cl4376,plain,
( ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) )
| ~ ( zip_tseitin_1 @ sk__23 @ sk__22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4375]) ).
thf(zip_derived_cl3739_090,plain,
( ( zip_tseitin_1 @ sk__23 @ sk__22 )
| ( v1_xboole_0 @ ( k1_autgroup @ sk__22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3738,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130]) ).
thf(zip_derived_cl4387,plain,
v1_xboole_0 @ ( k1_autgroup @ sk__22 ),
inference(clc,[status(thm)],[zip_derived_cl4376,zip_derived_cl3739]) ).
thf(zip_derived_cl4396,plain,
( ~ ( l1_group_1 @ sk__22 )
| ~ ( v4_group_1 @ sk__22 )
| ~ ( v3_group_1 @ sk__22 )
| ~ ( v1_group_1 @ sk__22 )
| ( v3_struct_0 @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl4387]) ).
thf(zip_derived_cl130_091,plain,
l1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129_092,plain,
v4_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128_093,plain,
v3_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_094,plain,
v1_group_1 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_095,plain,
~ ( v3_struct_0 @ sk__22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4397,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4396,zip_derived_cl130,zip_derived_cl129,zip_derived_cl128,zip_derived_cl127,zip_derived_cl126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP620+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZFImSS9C0H true
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 21:57:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.90/0.89 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.36/1.46 % Solved by fo/fo3_bce.sh.
% 1.36/1.46 % BCE start: 133
% 1.36/1.46 % BCE eliminated: 1
% 1.36/1.46 % PE start: 132
% 1.36/1.46 logic: eq
% 1.36/1.46 % PE eliminated: -17
% 1.36/1.46 % done 614 iterations in 0.609s
% 1.36/1.46 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/1.46 % SZS output start Refutation
% See solution above
% 1.36/1.46
% 1.36/1.46
% 1.36/1.46 % Terminating...
% 5.39/1.55 % Runner terminated.
% 5.39/1.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------