TSTP Solution File: GRP640+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP640+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.KWKcWsOVPB true
% Computer : n018.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 01:52:34 EDT 2023
% Result : Theorem 1.71s 0.95s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of formulae : 106 ( 40 unt; 25 typ; 0 def)
% Number of atoms : 293 ( 40 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1170 ( 159 ~; 148 |; 39 &; 799 @)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 7 con; 0-4 aty)
% Number of variables : 102 ( 0 ^; 102 !; 0 ?; 102 :)
% Comments :
%------------------------------------------------------------------------------
thf(l1_group_1_type,type,
l1_group_1: $i > $o ).
thf(k2_xboole_0_type,type,
k2_xboole_0: $i > $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k9_relat_1_type,type,
k9_relat_1: $i > $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(sk__1_type,type,
sk__1: $i ).
thf(m1_group_2_type,type,
m1_group_2: $i > $i > $o ).
thf(v3_group_1_type,type,
v3_group_1: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(k2_funct_2_type,type,
k2_funct_2: $i > $i > $i > $i > $i ).
thf(k8_group_4_type,type,
k8_group_4: $i > $i > $i > $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(k5_group_4_type,type,
k5_group_4: $i > $i > $i ).
thf(v4_group_1_type,type,
v4_group_1: $i > $o ).
thf(r1_group_2_type,type,
r1_group_2: $i > $i > $i > $o ).
thf(m1_relset_1_type,type,
m1_relset_1: $i > $i > $i > $o ).
thf(t13_latsubgr,conjecture,
! [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] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_group_2 @ D @ A )
=> ! [E: $i] :
( ( ( v1_funct_1 @ E )
& ( v1_funct_2 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( F
= ( k2_xboole_0 @ ( u1_struct_0 @ C ) @ ( u1_struct_0 @ D ) ) )
=> ( ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k8_group_4 @ A @ C @ D ) ) )
= ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k5_group_4 @ A @ F ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [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] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_group_2 @ D @ A )
=> ! [E: $i] :
( ( ( v1_funct_1 @ E )
& ( v1_funct_2 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ E @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( F
= ( k2_xboole_0 @ ( u1_struct_0 @ C ) @ ( u1_struct_0 @ D ) ) )
=> ( ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k8_group_4 @ A @ C @ D ) ) )
= ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ E @ ( u1_struct_0 @ ( k5_group_4 @ A @ F ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t13_latsubgr]) ).
thf(zip_derived_cl8,plain,
( sk__5
= ( k2_xboole_0 @ ( u1_struct_0 @ sk__2 ) @ ( u1_struct_0 @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k8_group_4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_group_2 @ B @ A )
& ( m1_group_2 @ C @ A ) )
=> ( ( v1_group_1 @ ( k8_group_4 @ A @ B @ C ) )
& ( m1_group_2 @ ( k8_group_4 @ A @ B @ C ) @ A ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_group_2 @ X2 @ X1 )
| ( m1_group_2 @ ( k8_group_4 @ X1 @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_group_4]) ).
thf(zip_derived_cl637,plain,
! [X0: $i,X1: $i] :
( ( m1_group_2 @ ( k8_group_4 @ sk_ @ X0 @ X1 ) @ sk_ )
| ~ ( m1_group_2 @ X1 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ~ ( m1_group_2 @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl91]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1160,plain,
! [X0: $i,X1: $i] :
( ( m1_group_2 @ ( k8_group_4 @ sk_ @ X0 @ X1 ) @ sk_ )
| ~ ( m1_group_2 @ X1 @ sk_ )
| ~ ( m1_group_2 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl637,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl2_001,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t4_latsubgr,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A ) )
=> ! [B: $i] :
( ( m1_group_2 @ B @ A )
=> ! [C: $i] :
( ( m1_group_2 @ C @ A )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( D
= ( k2_xboole_0 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) )
=> ( r1_group_2 @ A @ ( k8_group_4 @ A @ B @ C ) @ ( k5_group_4 @ A @ D ) ) ) ) ) ) ) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( r1_group_2 @ X1 @ ( k8_group_4 @ X1 @ X0 @ X3 ) @ ( k5_group_4 @ X1 @ X2 ) )
| ( X2
!= ( k2_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X3 ) ) )
| ~ ( m1_group_2 @ X3 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t4_latsubgr]) ).
thf(zip_derived_cl639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ~ ( m1_group_2 @ X2 @ sk_ )
| ( X1
!= ( k2_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X2 ) ) )
| ( r1_group_2 @ sk_ @ ( k8_group_4 @ sk_ @ X0 @ X2 ) @ ( k5_group_4 @ sk_ @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ~ ( m1_group_2 @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl103]) ).
thf(zip_derived_cl0_002,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_003,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_004,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X2 @ sk_ )
| ( X1
!= ( k2_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X2 ) ) )
| ( r1_group_2 @ sk_ @ ( k8_group_4 @ sk_ @ X0 @ X2 ) @ ( k5_group_4 @ sk_ @ X1 ) )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ~ ( m1_group_2 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl639,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl2_005,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_r1_group_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( v1_group_1 @ B )
& ( m1_group_2 @ B @ A )
& ( v1_group_1 @ C )
& ( m1_group_2 @ C @ A ) )
=> ( ( r1_group_2 @ A @ B @ C )
<=> ( B = C ) ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ~ ( v1_group_1 @ X0 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( v1_group_1 @ X2 )
| ~ ( m1_group_2 @ X2 @ X1 )
| ( X0 = X2 )
| ~ ( r1_group_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_r1_group_2]) ).
thf(zip_derived_cl633,plain,
! [X0: $i,X1: $i] :
( ~ ( r1_group_2 @ sk_ @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( m1_group_2 @ X1 @ sk_ )
| ~ ( v1_group_1 @ X1 )
| ( v3_struct_0 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ~ ( v1_group_1 @ X0 )
| ~ ( m1_group_2 @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl84]) ).
thf(zip_derived_cl0_006,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_007,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_008,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1074,plain,
! [X0: $i,X1: $i] :
( ~ ( r1_group_2 @ sk_ @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( m1_group_2 @ X1 @ sk_ )
| ~ ( v1_group_1 @ X1 )
| ~ ( v1_group_1 @ X0 )
| ~ ( m1_group_2 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl633,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl1191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X2 @ sk_ )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( X0
!= ( k2_xboole_0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X1 ) ) )
| ~ ( m1_group_2 @ X1 @ sk_ )
| ~ ( m1_group_2 @ ( k8_group_4 @ sk_ @ X2 @ X1 ) @ sk_ )
| ~ ( v1_group_1 @ ( k8_group_4 @ sk_ @ X2 @ X1 ) )
| ~ ( v1_group_1 @ ( k5_group_4 @ sk_ @ X0 ) )
| ~ ( m1_group_2 @ ( k5_group_4 @ sk_ @ X0 ) @ sk_ )
| ( ( k8_group_4 @ sk_ @ X2 @ X1 )
= ( k5_group_4 @ sk_ @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1189,zip_derived_cl1074]) ).
thf(zip_derived_cl1276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X1 @ sk_ )
| ~ ( m1_group_2 @ X0 @ sk_ )
| ( ( k8_group_4 @ sk_ @ X1 @ X0 )
= ( k5_group_4 @ sk_ @ X2 ) )
| ~ ( m1_group_2 @ ( k5_group_4 @ sk_ @ X2 ) @ sk_ )
| ~ ( v1_group_1 @ ( k5_group_4 @ sk_ @ X2 ) )
| ~ ( v1_group_1 @ ( k8_group_4 @ sk_ @ X1 @ X0 ) )
| ~ ( m1_group_2 @ X0 @ sk_ )
| ( X2
!= ( k2_xboole_0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ~ ( m1_group_2 @ X1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl1160,zip_derived_cl1191]) ).
thf(zip_derived_cl1277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( X2
!= ( k2_xboole_0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v1_group_1 @ ( k8_group_4 @ sk_ @ X1 @ X0 ) )
| ~ ( v1_group_1 @ ( k5_group_4 @ sk_ @ X2 ) )
| ~ ( m1_group_2 @ ( k5_group_4 @ sk_ @ X2 ) @ sk_ )
| ( ( k8_group_4 @ sk_ @ X1 @ X0 )
= ( k5_group_4 @ sk_ @ X2 ) )
| ~ ( m1_group_2 @ X0 @ sk_ )
| ~ ( m1_group_2 @ X1 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl1276]) ).
thf(zip_derived_cl2_009,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X0 @ X1 )
| ~ ( l1_group_1 @ X1 )
| ~ ( v4_group_1 @ X1 )
| ~ ( v3_group_1 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_group_2 @ X2 @ X1 )
| ( v1_group_1 @ ( k8_group_4 @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[dt_k8_group_4]) ).
thf(zip_derived_cl638,plain,
! [X0: $i,X1: $i] :
( ( v1_group_1 @ ( k8_group_4 @ sk_ @ X0 @ X1 ) )
| ~ ( m1_group_2 @ X1 @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ )
| ~ ( m1_group_2 @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl92]) ).
thf(zip_derived_cl0_010,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_011,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_012,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1185,plain,
! [X0: $i,X1: $i] :
( ( v1_group_1 @ ( k8_group_4 @ sk_ @ X0 @ X1 ) )
| ~ ( m1_group_2 @ X1 @ sk_ )
| ~ ( m1_group_2 @ X0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl638,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl1278,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X1 @ sk_ )
| ~ ( m1_group_2 @ X0 @ sk_ )
| ( ( k8_group_4 @ sk_ @ X1 @ X0 )
= ( k5_group_4 @ sk_ @ X2 ) )
| ~ ( m1_group_2 @ ( k5_group_4 @ sk_ @ X2 ) @ sk_ )
| ~ ( v1_group_1 @ ( k5_group_4 @ sk_ @ X2 ) )
| ( X2
!= ( k2_xboole_0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1277,zip_derived_cl1185]) ).
thf(zip_derived_cl2_013,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k5_group_4,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v3_group_1 @ A )
& ( v4_group_1 @ A )
& ( l1_group_1 @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( v1_group_1 @ ( k5_group_4 @ A @ B ) )
& ( m1_group_2 @ ( k5_group_4 @ A @ B ) @ A ) ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( m1_group_2 @ ( k5_group_4 @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_group_4]) ).
thf(zip_derived_cl636,plain,
! [X0: $i] :
( ( m1_group_2 @ ( k5_group_4 @ sk_ @ X0 ) @ sk_ )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl90]) ).
thf(zip_derived_cl0_014,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_015,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_016,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1047,plain,
! [X0: $i] :
( ( m1_group_2 @ ( k5_group_4 @ sk_ @ X0 ) @ sk_ )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl636,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl1279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( X2
!= ( k2_xboole_0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v1_group_1 @ ( k5_group_4 @ sk_ @ X2 ) )
| ( ( k8_group_4 @ sk_ @ X1 @ X0 )
= ( k5_group_4 @ sk_ @ X2 ) )
| ~ ( m1_group_2 @ X0 @ sk_ )
| ~ ( m1_group_2 @ X1 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl1278,zip_derived_cl1047]) ).
thf(zip_derived_cl2_017,plain,
v4_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_group_1 @ X0 )
| ~ ( v4_group_1 @ X0 )
| ~ ( v3_group_1 @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( v1_group_1 @ ( k5_group_4 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k5_group_4]) ).
thf(zip_derived_cl635,plain,
! [X0: $i] :
( ( v1_group_1 @ ( k5_group_4 @ sk_ @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v3_group_1 @ sk_ )
| ~ ( l1_group_1 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl89]) ).
thf(zip_derived_cl0_018,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_019,plain,
v3_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_020,plain,
l1_group_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1014,plain,
! [X0: $i] :
( ( v1_group_1 @ ( k5_group_4 @ sk_ @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl635,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl1280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_group_2 @ X1 @ sk_ )
| ~ ( m1_group_2 @ X0 @ sk_ )
| ( ( k8_group_4 @ sk_ @ X1 @ X0 )
= ( k5_group_4 @ sk_ @ X2 ) )
| ( X2
!= ( k2_xboole_0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1279,zip_derived_cl1014]) ).
thf(zip_derived_cl1284,plain,
! [X0: $i] :
( ( X0 != sk__5 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( ( k8_group_4 @ sk_ @ sk__2 @ sk__3 )
= ( k5_group_4 @ sk_ @ X0 ) )
| ~ ( m1_group_2 @ sk__3 @ sk_ )
| ~ ( m1_group_2 @ sk__2 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1280]) ).
thf(zip_derived_cl11,plain,
m1_group_2 @ sk__3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
m1_group_2 @ sk__2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1287,plain,
! [X0: $i] :
( ( X0 != sk__5 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( ( k8_group_4 @ sk_ @ sk__2 @ sk__3 )
= ( k5_group_4 @ sk_ @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1284,zip_derived_cl11,zip_derived_cl4]) ).
thf(redefinition_k2_funct_2,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ A @ B )
& ( m1_relset_1 @ C @ A @ B ) )
=> ( ( k2_funct_2 @ A @ B @ C @ D )
= ( k9_relat_1 @ C @ D ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( ( k2_funct_2 @ X1 @ X2 @ X0 @ X3 )
= ( k9_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k2_funct_2]) ).
thf(zip_derived_cl81_021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
| ~ ( v1_funct_1 @ X0 )
| ( ( k2_funct_2 @ X1 @ X2 @ X0 @ X3 )
= ( k9_relat_1 @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k2_funct_2]) ).
thf(zip_derived_cl9,plain,
( ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__4 @ ( u1_struct_0 @ ( k8_group_4 @ sk_ @ sk__2 @ sk__3 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__4 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__5 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl993,plain,
( ( ( k9_relat_1 @ sk__4 @ ( u1_struct_0 @ ( k8_group_4 @ sk_ @ sk__2 @ sk__3 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__4 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__5 ) ) ) )
| ~ ( v1_funct_1 @ sk__4 )
| ~ ( v1_funct_2 @ sk__4 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
| ~ ( m1_relset_1 @ sk__4 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl9]) ).
thf(zip_derived_cl5,plain,
v1_funct_1 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
v1_funct_2 @ sk__4 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
m2_relset_1 @ sk__4 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( m2_relset_1 @ C @ A @ B )
<=> ( m1_relset_1 @ C @ A @ B ) ) ).
thf(zip_derived_cl82,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_cl614,plain,
m1_relset_1 @ sk__4 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl82]) ).
thf(zip_derived_cl994,plain,
( ( k9_relat_1 @ sk__4 @ ( u1_struct_0 @ ( k8_group_4 @ sk_ @ sk__2 @ sk__3 ) ) )
!= ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__4 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl993,zip_derived_cl5,zip_derived_cl6,zip_derived_cl614]) ).
thf(zip_derived_cl995,plain,
( ( ( k9_relat_1 @ sk__4 @ ( u1_struct_0 @ ( k8_group_4 @ sk_ @ sk__2 @ sk__3 ) ) )
!= ( k9_relat_1 @ sk__4 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__5 ) ) ) )
| ~ ( v1_funct_1 @ sk__4 )
| ~ ( v1_funct_2 @ sk__4 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
| ~ ( m1_relset_1 @ sk__4 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl994]) ).
thf(zip_derived_cl5_022,plain,
v1_funct_1 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_023,plain,
v1_funct_2 @ sk__4 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl614_024,plain,
m1_relset_1 @ sk__4 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl82]) ).
thf(zip_derived_cl996,plain,
( ( k9_relat_1 @ sk__4 @ ( u1_struct_0 @ ( k8_group_4 @ sk_ @ sk__2 @ sk__3 ) ) )
!= ( k9_relat_1 @ sk__4 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl995,zip_derived_cl5,zip_derived_cl6,zip_derived_cl614]) ).
thf(zip_derived_cl1315,plain,
! [X0: $i] :
( ( ( k9_relat_1 @ sk__4 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ X0 ) ) )
!= ( k9_relat_1 @ sk__4 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__5 ) ) ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
| ( X0 != sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1287,zip_derived_cl996]) ).
thf(zip_derived_cl1376,plain,
( ( sk__5 != sk__5 )
| ~ ( m1_subset_1 @ sk__5 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1315]) ).
thf(zip_derived_cl1377,plain,
~ ( m1_subset_1 @ sk__5 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1376]) ).
thf(zip_derived_cl10,plain,
m1_subset_1 @ sk__5 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1378,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1377,zip_derived_cl10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KWKcWsOVPB true
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:29:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % 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
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.71/0.95 % Solved by fo/fo3_bce.sh.
% 1.71/0.95 % BCE start: 104
% 1.71/0.95 % BCE eliminated: 3
% 1.71/0.95 % PE start: 101
% 1.71/0.95 logic: eq
% 1.71/0.95 % PE eliminated: -5
% 1.71/0.95 % done 334 iterations in 0.188s
% 1.71/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.71/0.95 % SZS output start Refutation
% See solution above
% 1.71/0.95
% 1.71/0.95
% 1.71/0.95 % Terminating...
% 2.05/1.04 % Runner terminated.
% 2.05/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------