%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM503+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5iuyVirQuj true
% Computer : n028.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 Oct 2 04:47:13 PM UTC 2025
% Result : Theorem 7.23s 1.63s
% Output : Refutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 19
% Syntax : Number of formulae : 146 ( 59 unt; 0 typ; 0 def)
% Number of atoms : 446 ( 221 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1074 ( 175 ~; 246 |; 34 &; 599 @)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 88 ( 0 ^; 87 !; 1 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(m__2306,axiom,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ).
thf(zip_derived_cl82,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(mDefQuot,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtsldt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( W1
= ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1652,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl52]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ( isPrime0 @ xp ) ) ).
thf(zip_derived_cl74,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl1654,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1652,zip_derived_cl70,zip_derived_cl74]) ).
thf(zip_derived_cl1671,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( xp = sz00 )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1654]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1673,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl71,zip_derived_cl72]) ).
thf(m_MulZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl82_001,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(mDefLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl1156,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl27]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1166,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1156,zip_derived_cl1]) ).
thf(zip_derived_cl1167,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( sdtlseqdt0 @ sz00 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1166]) ).
thf(zip_derived_cl1912,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ sz00 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1167]) ).
thf(zip_derived_cl1913,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz00 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1912]) ).
thf(zip_derived_cl1673_002,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl71,zip_derived_cl72]) ).
thf(m__2389,axiom,
sdtlseqdt0 @ xp @ xk ).
thf(zip_derived_cl92,plain,
sdtlseqdt0 @ xp @ xk,
inference(cnf,[status(esa)],[m__2389]) ).
thf(m__2287,axiom,
( ( sdtlseqdt0 @ xm @ xp )
& ( xm != xp )
& ( sdtlseqdt0 @ xn @ xp )
& ( xn != xp ) ) ).
thf(zip_derived_cl78,plain,
sdtlseqdt0 @ xm @ xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(mLETran,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mLETran]) ).
thf(zip_derived_cl1222,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( sdtlseqdt0 @ xp @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl33]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1233,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( sdtlseqdt0 @ xp @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1222,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl1241,plain,
( ~ ( aNaturalNumber0 @ xk )
| ( sdtlseqdt0 @ xm @ xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl1233]) ).
thf(zip_derived_cl2739,plain,
( ( xk != xk )
| ( xp = sz00 )
| ( sdtlseqdt0 @ xm @ xk ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl1241]) ).
thf(zip_derived_cl2753,plain,
( ( sdtlseqdt0 @ xm @ xk )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2739]) ).
thf(zip_derived_cl1673_005,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl71,zip_derived_cl72]) ).
thf(mMonMul,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) )
& ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( sdtlseqdt0 @ X1 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[mMonMul]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X2 @ X0 ) )
| ~ ( sdtlseqdt0 @ X1 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[mMonMul]) ).
thf(m__,conjecture,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl93,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1597,plain,
( ( xn = xp )
| ~ ( sdtlseqdt0 @ xn @ xp )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl93]) ).
thf(zip_derived_cl80,plain,
sdtlseqdt0 @ xn @ xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl70_006,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_007,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_008,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1644,plain,
( ( xn = xp )
| ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1597,zip_derived_cl80,zip_derived_cl70,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl81,plain,
xn != xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl1645,plain,
( ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1644,zip_derived_cl81]) ).
thf(zip_derived_cl1646,plain,
( ( xm = xk )
| ~ ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( xp = sz00 )
| ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl1645]) ).
thf(zip_derived_cl70_009,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_010,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1649,plain,
( ( xm = xk )
| ~ ( sdtlseqdt0 @ xm @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ( xp = sz00 )
| ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1646,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl2741,plain,
( ( xk != xk )
| ( xp = sz00 )
| ( xm = xk )
| ~ ( sdtlseqdt0 @ xm @ xk )
| ( xp = sz00 )
| ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl1649]) ).
thf(zip_derived_cl2755,plain,
( ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( xm = sz00 )
| ~ ( sdtlseqdt0 @ xm @ xk )
| ( xm = xk )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2741]) ).
thf(zip_derived_cl3016,plain,
( ( xp = sz00 )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( xm = sz00 )
| ( xm = xk )
| ( xp = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2753,zip_derived_cl2755]) ).
thf(zip_derived_cl3017,plain,
( ( xm = xk )
| ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3016]) ).
thf(zip_derived_cl5_011,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl82_012,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1674,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl53]) ).
thf(zip_derived_cl70_013,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl74_014,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl1676,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl70,zip_derived_cl74]) ).
thf(zip_derived_cl1677,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( xp = sz00 )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1676]) ).
thf(zip_derived_cl71_015,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_016,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1678,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1677,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl3040,plain,
( ( xp = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( xm = sz00 )
| ( xm = xk )
| ( xp = sz00 )
| ( xk != xk )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3017,zip_derived_cl1678]) ).
thf(zip_derived_cl3079,plain,
( ( xm = xk )
| ( xm = sz00 )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3040]) ).
thf(mMulCanc,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X2 @ X0 )
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl3094,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( xm = sz00 )
| ( xm = xk )
| ( xm = sz00 )
| ( ( sdtasdt0 @ X0 @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ( X0 = xp )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3079,zip_derived_cl20]) ).
thf(zip_derived_cl70_017,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_018,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3130,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( xm = sz00 )
| ( xm = xk )
| ( xm = sz00 )
| ( ( sdtasdt0 @ X0 @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ( X0 = xp )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3094,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl3131,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = xp )
| ( ( sdtasdt0 @ X0 @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ( xm = xk )
| ( xm = sz00 )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3130]) ).
thf(zip_derived_cl6320,plain,
( ( xp = sz00 )
| ( xm = sz00 )
| ( xm = xk )
| ( xn = xp )
| ~ ( aNaturalNumber0 @ xn ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3131]) ).
thf(zip_derived_cl72_019,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl6321,plain,
( ( xp = sz00 )
| ( xm = sz00 )
| ( xm = xk )
| ( xn = xp ) ),
inference(demod,[status(thm)],[zip_derived_cl6320,zip_derived_cl72]) ).
thf(zip_derived_cl81_020,plain,
xn != xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl6322,plain,
( ( xp = sz00 )
| ( xm = sz00 )
| ( xm = xk ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6321,zip_derived_cl81]) ).
thf(zip_derived_cl92_021,plain,
sdtlseqdt0 @ xp @ xk,
inference(cnf,[status(esa)],[m__2389]) ).
thf(mLEAsym,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl932,plain,
( ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp )
| ( xk = xp )
| ~ ( sdtlseqdt0 @ xk @ xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl32]) ).
thf(zip_derived_cl70_022,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl941,plain,
( ~ ( aNaturalNumber0 @ xk )
| ( xk = xp )
| ~ ( sdtlseqdt0 @ xk @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl932,zip_derived_cl70]) ).
thf(zip_derived_cl6347,plain,
( ( xm = sz00 )
| ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xm )
| ( xm = xp )
| ~ ( sdtlseqdt0 @ xm @ xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6322,zip_derived_cl941]) ).
thf(zip_derived_cl71_023,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl78_024,plain,
sdtlseqdt0 @ xm @ xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl6378,plain,
( ( xm = sz00 )
| ( xp = sz00 )
| ( xm = xp ) ),
inference(demod,[status(thm)],[zip_derived_cl6347,zip_derived_cl71,zip_derived_cl78]) ).
thf(zip_derived_cl79,plain,
xm != xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl6379,plain,
( ( xm = sz00 )
| ( xp = sz00 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6378,zip_derived_cl79]) ).
thf(m__1870,axiom,
~ ( sdtlseqdt0 @ xp @ xn ) ).
thf(zip_derived_cl76,plain,
~ ( sdtlseqdt0 @ xp @ xn ),
inference(cnf,[status(esa)],[m__1870]) ).
thf(zip_derived_cl6415,plain,
( ( xm = sz00 )
| ~ ( sdtlseqdt0 @ sz00 @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6379,zip_derived_cl76]) ).
thf(zip_derived_cl6458,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( xm = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1913,zip_derived_cl6415]) ).
thf(zip_derived_cl72_025,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl6459,plain,
xm = sz00,
inference(demod,[status(thm)],[zip_derived_cl6458,zip_derived_cl72]) ).
thf(zip_derived_cl6465,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ sz00 ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl6459]) ).
thf(zip_derived_cl6696,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( xk
= ( sdtsldt0 @ sz00 @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl6465]) ).
thf(zip_derived_cl72_026,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl6702,plain,
( xk
= ( sdtsldt0 @ sz00 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl6696,zip_derived_cl72]) ).
thf(zip_derived_cl53_027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl6713,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ sz00 )
| ( X0 != xk )
| ( sz00
= ( sdtasdt0 @ xp @ X0 ) )
| ~ ( doDivides0 @ xp @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6702,zip_derived_cl53]) ).
thf(zip_derived_cl70_028,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1_029,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl14_030,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz00 )
= sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl74_031,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl6459_032,plain,
xm = sz00,
inference(demod,[status(thm)],[zip_derived_cl6458,zip_derived_cl72]) ).
thf(zip_derived_cl6461,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl6459]) ).
thf(zip_derived_cl6623,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( doDivides0 @ xp @ sz00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl6461]) ).
thf(zip_derived_cl72_033,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl6629,plain,
doDivides0 @ xp @ sz00,
inference(demod,[status(thm)],[zip_derived_cl6623,zip_derived_cl72]) ).
thf(zip_derived_cl6716,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( sz00
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6713,zip_derived_cl70,zip_derived_cl1,zip_derived_cl6629]) ).
thf(zip_derived_cl79_034,plain,
xm != xp,
inference(cnf,[status(esa)],[m__2287]) ).
thf(zip_derived_cl6459_035,plain,
xm = sz00,
inference(demod,[status(thm)],[zip_derived_cl6458,zip_derived_cl72]) ).
thf(zip_derived_cl6464,plain,
sz00 != xp,
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl6459]) ).
thf(zip_derived_cl6717,plain,
! [X0: $i] :
( ( X0 != xk )
| ( sz00
= ( sdtasdt0 @ xp @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6716,zip_derived_cl6464]) ).
thf(mZeroMul,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 )
| ( ( sdtasdt0 @ X0 @ X1 )
!= sz00 ) ),
inference(cnf,[status(esa)],[mZeroMul]) ).
thf(zip_derived_cl6722,plain,
! [X0: $i] :
( ( X0 != xk )
| ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( sz00 != sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6717,zip_derived_cl24]) ).
thf(zip_derived_cl70_036,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl6759,plain,
! [X0: $i] :
( ( X0 != xk )
| ( xp = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl6722,zip_derived_cl70]) ).
thf(zip_derived_cl6760,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = sz00 )
| ( X0 != xk ) ),
inference(simplify,[status(thm)],[zip_derived_cl6759]) ).
thf(zip_derived_cl6464_037,plain,
sz00 != xp,
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl6459]) ).
thf(zip_derived_cl6761,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6760,zip_derived_cl6464]) ).
thf(zip_derived_cl7238,plain,
( ~ ( aNaturalNumber0 @ xk )
| ( xk = sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6761]) ).
thf(m__2315,axiom,
~ ( ( xk = sz00 )
| ( xk = sz10 ) ) ).
thf(zip_derived_cl84,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__2315]) ).
thf(zip_derived_cl7239,plain,
~ ( aNaturalNumber0 @ xk ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7238,zip_derived_cl84]) ).
thf(zip_derived_cl7246,plain,
( ( xk != xk )
| ( xp = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1673,zip_derived_cl7239]) ).
thf(zip_derived_cl7247,plain,
xp = sz00,
inference(simplify,[status(thm)],[zip_derived_cl7246]) ).
thf(zip_derived_cl6464_038,plain,
sz00 != xp,
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl6459]) ).
thf(zip_derived_cl7248,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7247,zip_derived_cl6464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : NUM503+1 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5iuyVirQuj true
% 0.14/0.38 % Computer : n028.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Wed Oct 1 16:32:23 EDT 2025
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % Running portfolio for 300 s
% 0.14/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.6.8
% 0.14/0.39 % Running in FO mode
% 0.49/0.63 % Total configuration time : 435
% 0.49/0.63 % Estimated wc time : 1092
% 0.49/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.23/1.63 % Solved by fo/fo6_bce.sh.
% 7.23/1.63 % BCE start: 94
% 7.23/1.63 % BCE eliminated: 1
% 7.23/1.63 % PE start: 93
% 7.23/1.63 logic: eq
% 7.23/1.63 % PE eliminated: 1
% 7.23/1.63 % done 801 iterations in 0.896s
% 7.23/1.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.23/1.63 % SZS output start Refutation
% See solution above
% 7.23/1.64
% 7.23/1.64
% 7.23/1.64 % Terminating...
% 7.76/1.76 % Runner terminated.
% 7.76/1.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------