TSTP Solution File: GRP623+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP623+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.wyq5EQtzIW true
% Computer : n012.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 01:52:24 EDT 2023
% Result : Theorem 2.17s 0.98s
% Output : Refutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 29
% Syntax : Number of formulae : 95 ( 27 unt; 18 typ; 0 def)
% Number of atoms : 233 ( 7 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 771 ( 104 ~; 118 |; 23 &; 511 @)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 2 con; 0-4 aty)
% Number of variables : 64 ( 0 ^; 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(k4_autgroup_type,type,
k4_autgroup: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(l1_group_1_type,type,
l1_group_1: $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(v1_group_1_type,type,
v1_group_1: $i > $o ).
thf(v1_fraenkel_type,type,
v1_fraenkel: $i > $o ).
thf(m1_fraenkel_type,type,
m1_fraenkel: $i > $i > $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v3_group_1_type,type,
v3_group_1: $i > $o ).
thf(k1_autgroup_type,type,
k1_autgroup: $i > $i ).
thf(m2_fraenkel_type,type,
m2_fraenkel: $i > $i > $i > $i > $o ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(dt_l1_group_1,axiom,
! [A: $i] :
( ( l1_group_1 @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl36,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_cl59,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_cl618,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_cl36,zip_derived_cl59]) ).
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(t14_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_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 ) )
=> ( r1_tarski @ ( k4_autgroup @ A ) @ ( k1_autgroup @ A ) ) ),
inference('cnf.neg',[status(esa)],[t14_autgroup]) ).
thf(zip_derived_cl5,plain,
~ ( r1_tarski @ ( k4_autgroup @ sk_ ) @ ( k1_autgroup @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl627,plain,
~ ( r2_hidden @ ( sk__1 @ ( k1_autgroup @ sk_ ) @ ( k4_autgroup @ sk_ ) ) @ ( k1_autgroup @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl5]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ A @ B )
=> ( ( v1_xboole_0 @ B )
| ( r2_hidden @ A @ B ) ) ) ).
thf(zip_derived_cl108,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_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_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_cl31,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_cl608,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( m1_fraenkel @ ( k1_autgroup @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl31]) ).
thf(zip_derived_cl644,plain,
( ( sk_ != sk_ )
| ( m1_fraenkel @ ( k1_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_cl608]) ).
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_cl101,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_cl824,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( sk_ != sk_ )
| ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ) )
| ( m1_subset_1 @ X0 @ ( k1_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl644,zip_derived_cl101]) ).
thf(zip_derived_cl5782,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( m1_subset_1 @ X0 @ ( k1_autgroup @ sk_ ) )
| ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ) )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl824]) ).
thf(zip_derived_cl4,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v1_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_cl5783,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( m1_subset_1 @ X0 @ ( k1_autgroup @ sk_ ) )
| ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5782,zip_derived_cl4,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl2_001,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_002,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t13_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 ) @ ( k4_autgroup @ A ) )
=> ( m2_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k1_autgroup @ A ) ) ) ) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( k4_autgroup @ X1 ) )
| ( m2_fraenkel @ X0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X1 ) @ ( 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)],[t13_autgroup]) ).
thf(zip_derived_cl610,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ) )
| ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k4_autgroup @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl106]) ).
thf(zip_derived_cl650,plain,
! [X0: $i] :
( ( sk_ != sk_ )
| ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k4_autgroup @ sk_ ) )
| ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ) )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl610]) ).
thf(zip_derived_cl5562,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ) )
| ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k4_autgroup @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl650]) ).
thf(zip_derived_cl0_003,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_004,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_005,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5563,plain,
! [X0: $i] :
( ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k1_autgroup @ sk_ ) )
| ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k4_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5562,zip_derived_cl0,zip_derived_cl1,zip_derived_cl4]) ).
thf(zip_derived_cl5784,plain,
! [X0: $i] :
( ( m1_subset_1 @ X0 @ ( k1_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k4_autgroup @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5783,zip_derived_cl5563]) ).
thf(zip_derived_cl2_006,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_007,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_cl35,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_cl609,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_cl35]) ).
thf(zip_derived_cl647,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_cl609]) ).
thf(zip_derived_cl102,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_cl834,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( sk_ != sk_ )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k4_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl647,zip_derived_cl102]) ).
thf(zip_derived_cl5913,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k4_autgroup @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl834]) ).
thf(zip_derived_cl4_008,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_009,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_010,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5914,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( m2_fraenkel @ X0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk_ ) @ ( k4_autgroup @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5913,zip_derived_cl4,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl5920,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( m1_subset_1 @ X0 @ ( k1_autgroup @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5784,zip_derived_cl5914]) ).
thf(zip_derived_cl5924,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) )
| ( m1_subset_1 @ X0 @ ( k1_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5920]) ).
thf(zip_derived_cl5941,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( k1_autgroup @ sk_ ) )
| ( r2_hidden @ X0 @ ( k1_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl108,zip_derived_cl5924]) ).
thf(zip_derived_cl644_011,plain,
( ( sk_ != sk_ )
| ( m1_fraenkel @ ( k1_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_cl608]) ).
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_cl38,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_cl820,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ( sk_ != sk_ )
| ~ ( v1_xboole_0 @ ( k1_autgroup @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl644,zip_derived_cl38]) ).
thf(zip_derived_cl5316,plain,
( ~ ( v1_xboole_0 @ ( k1_autgroup @ sk_ ) )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v1_group_1 @ sk_ )
| ( v3_struct_0 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl820]) ).
thf(zip_derived_cl4_012,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_013,plain,
v1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_014,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5317,plain,
~ ( v1_xboole_0 @ ( k1_autgroup @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl5316,zip_derived_cl4,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl5947,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( k1_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ X0 @ ( k4_autgroup @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5941,zip_derived_cl5317]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ X1 )
| ~ ( r2_hidden @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl6076,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) )
| ( r2_hidden @ X0 @ ( k1_autgroup @ sk_ ) )
| ~ ( r2_hidden @ X0 @ ( k4_autgroup @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5947,zip_derived_cl107]) ).
thf(zip_derived_cl6146,plain,
( ~ ( r2_hidden @ ( sk__1 @ ( k1_autgroup @ sk_ ) @ ( k4_autgroup @ sk_ ) ) @ ( k4_autgroup @ sk_ ) )
| ( v1_xboole_0 @ ( u1_struct_0 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl627,zip_derived_cl6076]) ).
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_015,plain,
~ ( r1_tarski @ ( k4_autgroup @ sk_ ) @ ( k1_autgroup @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl630,plain,
r2_hidden @ ( sk__1 @ ( k1_autgroup @ sk_ ) @ ( k4_autgroup @ sk_ ) ) @ ( k4_autgroup @ sk_ ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl5]) ).
thf(zip_derived_cl6148,plain,
v1_xboole_0 @ ( u1_struct_0 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl6146,zip_derived_cl630]) ).
thf(zip_derived_cl6161,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( l1_group_1 @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl618,zip_derived_cl6148]) ).
thf(zip_derived_cl0_016,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_017,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6162,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6161,zip_derived_cl0,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP623+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wyq5EQtzIW true
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:43:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.17/0.98 % Solved by fo/fo3_bce.sh.
% 2.17/0.98 % BCE start: 116
% 2.17/0.98 % BCE eliminated: 5
% 2.17/0.98 % PE start: 111
% 2.17/0.98 logic: eq
% 2.17/0.98 % PE eliminated: -67
% 2.17/0.98 % done 428 iterations in 0.229s
% 2.17/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.17/0.98 % SZS output start Refutation
% See solution above
% 2.17/0.98
% 2.17/0.98
% 2.17/0.98 % Terminating...
% 2.73/1.07 % Runner terminated.
% 2.73/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------