TSTP Solution File: GRP622+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP622+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KYVE9Emgsx true
% Computer : n031.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 01:52:23 EDT 2023
% Result : Theorem 2.12s 0.92s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 37
% Syntax : Number of formulae : 93 ( 16 unt; 24 typ; 0 def)
% Number of atoms : 205 ( 5 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 733 ( 84 ~; 97 |; 21 &; 513 @)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 2 con; 0-4 aty)
% Number of variables : 106 ( 0 ^; 106 !; 0 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(k4_autgroup_type,type,
k4_autgroup: $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(m1_fraenkel_type,type,
m1_fraenkel: $i > $i > $i > $o ).
thf(l1_group_1_type,type,
l1_group_1: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(v1_group_1_type,type,
v1_group_1: $i > $o ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v3_group_1_type,type,
v3_group_1: $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(m2_fraenkel_type,type,
m2_fraenkel: $i > $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(k1_funct_2_type,type,
k1_funct_2: $i > $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(k1_fraenkel_type,type,
k1_fraenkel: $i > $i > $i ).
thf(v1_fraenkel_type,type,
v1_fraenkel: $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(dt_l1_group_1,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl37,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_cl62,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_cl627,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_cl37,zip_derived_cl62]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( r1_tarski @ A @ B )
<=> ! [C: $i] :
( ( r2_hidden @ C @ A )
=> ( r2_hidden @ C @ B ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ~ ( r2_hidden @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t12_autgroup,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v1_group_1 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ( r1_tarski @ ( k4_autgroup @ A ) @ ( k1_fraenkel @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ 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 ) )
=> ( r1_tarski @ ( k4_autgroup @ A ) @ ( k1_fraenkel @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t12_autgroup]) ).
thf(zip_derived_cl5,plain,
~ ( r1_tarski @ ( k4_autgroup @ sk_ ) @ ( k1_fraenkel @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl644,plain,
~ ( r2_hidden @ ( sk__1 @ ( k1_fraenkel @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) @ ( k4_autgroup @ sk_ ) ) @ ( k1_fraenkel @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl5]) ).
thf(redefinition_k1_fraenkel,axiom,
! [A: $i,B: $i] :
( ~ ( v1_xboole_0 @ B )
=> ( ( k1_fraenkel @ A @ B )
= ( k1_funct_2 @ A @ B ) ) ) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i] :
( ( ( k1_fraenkel @ X0 @ X1 )
= ( k1_funct_2 @ X0 @ X1 ) )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_k1_fraenkel]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ X1 )
| ~ ( r2_hidden @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl1,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k4_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 @ ( k4_autgroup @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( m1_fraenkel @ ( k4_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_k4_autgroup]) ).
thf(zip_derived_cl601,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( m1_fraenkel @ ( k4_autgroup @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl36]) ).
thf(zip_derived_cl616,plain,
( ( sk_ != sk_ )
| ( m1_fraenkel @ ( k4_autgroup @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl601]) ).
thf(zip_derived_cl667,plain,
( ( sk_ != sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( m1_fraenkel @ ( k4_autgroup @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( sk_ != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl616]) ).
thf(zip_derived_cl2344,plain,
( ( m1_fraenkel @ ( k4_autgroup @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ~ ( l1_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl667]) ).
thf(zip_derived_cl4,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2345,plain,
m1_fraenkel @ ( k4_autgroup @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl2344,zip_derived_cl4,zip_derived_cl0]) ).
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 )
| ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 )
| ~ ( m1_subset_1 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_m2_fraenkel]) ).
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_cl44,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_cl641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X3 @ X2 )
| ~ ( m1_fraenkel @ X2 @ X1 @ X0 )
| ( v1_xboole_0 @ X0 )
| ( v1_funct_2 @ X3 @ X1 @ X0 )
| ~ ( m1_fraenkel @ X2 @ X1 @ X0 )
| ( v1_xboole_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl44]) ).
thf(zip_derived_cl2290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_funct_2 @ X3 @ X1 @ X0 )
| ( v1_xboole_0 @ X0 )
| ~ ( m1_fraenkel @ X2 @ X1 @ X0 )
| ~ ( m1_subset_1 @ X3 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl641]) ).
thf(zip_derived_cl2347,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( v1_funct_2 @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2345,zip_derived_cl2290]) ).
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_cl109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( m2_relset_1 @ X0 @ X1 @ X2 )
| ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(t12_funct_2,axiom,
! [A: $i,B: $i] :
( ( ( v1_funct_1 @ B )
& ( v1_funct_2 @ B @ A @ A )
& ( m2_relset_1 @ B @ A @ A ) )
=> ( r2_hidden @ B @ ( k1_funct_2 @ A @ A ) ) ) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i] :
( ( r2_hidden @ X0 @ ( k1_funct_2 @ X1 @ X1 ) )
| ~ ( m2_relset_1 @ X0 @ X1 @ X1 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X1 )
| ~ ( v1_funct_1 @ X0 ) ),
inference(cnf,[status(esa)],[t12_funct_2]) ).
thf(zip_derived_cl663,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_relset_1 @ X1 @ X0 @ X0 )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_funct_2 @ X1 @ X0 @ X0 )
| ( r2_hidden @ X1 @ ( k1_funct_2 @ X0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl109,zip_derived_cl111]) ).
thf(zip_derived_cl2447,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ( r2_hidden @ X0 @ ( k1_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( m1_relset_1 @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2347,zip_derived_cl663]) ).
thf(zip_derived_cl2345_001,plain,
m1_fraenkel @ ( k4_autgroup @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl2344,zip_derived_cl4,zip_derived_cl0]) ).
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_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v1_fraenkel @ X0 )
| ~ ( m1_fraenkel @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[dt_m1_fraenkel]) ).
thf(cc1_fraenkel,axiom,
! [A: $i] :
( ( v1_fraenkel @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ A )
=> ( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ X1 )
| ( v1_funct_1 @ X0 )
| ~ ( v1_fraenkel @ X1 ) ),
inference(cnf,[status(esa)],[cc1_fraenkel]) ).
thf(zip_derived_cl607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_fraenkel @ X0 @ X2 @ X1 )
| ( v1_funct_1 @ X3 )
| ~ ( m1_subset_1 @ X3 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl8]) ).
thf(zip_derived_cl2348,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ( v1_funct_1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2345,zip_derived_cl607]) ).
thf(zip_derived_cl2680,plain,
! [X0: $i] :
( ~ ( m1_relset_1 @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
| ( r2_hidden @ X0 @ ( k1_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2447,zip_derived_cl2348]) ).
thf(zip_derived_cl2345_002,plain,
m1_fraenkel @ ( k4_autgroup @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl2344,zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl107_003,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_cl45,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_cl642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_subset_1 @ X3 @ X2 )
| ~ ( m1_fraenkel @ X2 @ X1 @ X0 )
| ( v1_xboole_0 @ X0 )
| ( m2_relset_1 @ X3 @ X1 @ X0 )
| ~ ( m1_fraenkel @ X2 @ X1 @ X0 )
| ( v1_xboole_0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl45]) ).
thf(zip_derived_cl108,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_cl661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v1_xboole_0 @ X2 )
| ~ ( m1_fraenkel @ X0 @ X3 @ X2 )
| ( v1_xboole_0 @ X2 )
| ~ ( m1_fraenkel @ X0 @ X3 @ X2 )
| ~ ( m1_subset_1 @ X1 @ X0 )
| ( m1_relset_1 @ X1 @ X3 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl642,zip_derived_cl108]) ).
thf(zip_derived_cl2294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( m1_relset_1 @ X1 @ X3 @ X2 )
| ~ ( m1_subset_1 @ X1 @ X0 )
| ~ ( m1_fraenkel @ X0 @ X3 @ X2 )
| ( v1_xboole_0 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl661]) ).
thf(zip_derived_cl2350,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ( m1_relset_1 @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2345,zip_derived_cl2294]) ).
thf(zip_derived_cl2681,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ( r2_hidden @ X0 @ ( k1_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2680,zip_derived_cl2350]) ).
thf(zip_derived_cl2682,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ ( k4_autgroup @ sk_ ) )
| ( r2_hidden @ X0 @ ( k1_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl2681]) ).
thf(zip_derived_cl2748,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( k1_fraenkel @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( r2_hidden @ X0 @ ( k4_autgroup @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl2682]) ).
thf(zip_derived_cl2749,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ ( k4_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( r2_hidden @ X0 @ ( k1_fraenkel @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2748]) ).
thf(zip_derived_cl2863,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( r2_hidden @ ( sk__1 @ ( k1_fraenkel @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) @ ( k4_autgroup @ sk_ ) ) @ ( k4_autgroup @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl644,zip_derived_cl2749]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( r1_tarski @ X0 @ X1 )
| ( r2_hidden @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl5_004,plain,
~ ( r1_tarski @ ( k4_autgroup @ sk_ ) @ ( k1_fraenkel @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl647,plain,
r2_hidden @ ( sk__1 @ ( k1_fraenkel @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) @ ( k4_autgroup @ sk_ ) ) @ ( k4_autgroup @ sk_ ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl5]) ).
thf(zip_derived_cl2864,plain,
v1_xboole_0 @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl2863,zip_derived_cl647]) ).
thf(zip_derived_cl2876,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( l1_group_1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl627,zip_derived_cl2864]) ).
thf(zip_derived_cl0_005,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_006,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2877,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2876,zip_derived_cl0,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP622+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KYVE9Emgsx true
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:07:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.49/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.12/0.92 % Solved by fo/fo3_bce.sh.
% 2.12/0.92 % BCE start: 121
% 2.12/0.92 % BCE eliminated: 5
% 2.12/0.92 % PE start: 116
% 2.12/0.92 logic: eq
% 2.12/0.92 % PE eliminated: -19
% 2.12/0.92 % done 386 iterations in 0.171s
% 2.12/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.12/0.92 % SZS output start Refutation
% See solution above
% 2.12/0.92
% 2.12/0.92
% 2.12/0.92 % Terminating...
% 2.45/1.04 % Runner terminated.
% 2.45/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------