%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM512+3 : 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.BeqD3iI9md true
% Computer : n019.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 04:47:16 PM UTC 2025
% Result : Theorem 0.57s 0.82s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 181 ( 95 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1015 ( 91 ~; 44 |; 29 &; 818 @)
% ( 0 <=>; 9 =>; 24 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 23 !; 3 ?; 26 :)
% 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(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(xk_type,type,
xk: $i ).
thf(xr_type,type,
xr: $i ).
thf(m__2306,axiom,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk ) ) ).
thf(zip_derived_cl116,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(m__,conjecture,
( ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) ) )
& ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) )
& ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) )
=> ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) ) )
& ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) )
& ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) )
=> ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl161,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl182,plain,
( ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) )
<= ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl200,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) )
<= ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl182]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(mMulAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl10_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl160,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl179,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf(zip_derived_cl298,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl179]) ).
thf(m__2504,axiom,
( ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn )
& ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
& ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ~ ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ( sdtsldt0 @ xn @ xr )
= xn ) ) ) ).
thf(zip_derived_cl154,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl308,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl154,zip_derived_cl71]) ).
thf(zip_derived_cl349,plain,
( ( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xr ) )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl308]) ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xr
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xr ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xr ) ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( doDivides0 @ xr @ xk )
& ? [W0: $i] :
( ( xk
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl122,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl71_003,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl154_004,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl377,plain,
( ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xr ) )
!= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl122,zip_derived_cl71,zip_derived_cl154]) ).
thf(zip_derived_cl382,plain,
( ( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
| ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl377]) ).
thf(zip_derived_cl122_005,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl154_006,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl153,plain,
( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl384,plain,
( ( ( sdtasdt0 @ xm @ xn )
!= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl382,zip_derived_cl122,zip_derived_cl154,zip_derived_cl153]) ).
thf(zip_derived_cl386,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) )
<= ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl384]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_007,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl388,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
<= ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl386,zip_derived_cl72,zip_derived_cl71]) ).
thf('0',plain,
( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) ),
inference(simplify,[status(thm)],[zip_derived_cl388]) ).
thf('1',plain,
( ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf('2',plain,
( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl401,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl200,'2']) ).
thf(zip_derived_cl10_008,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl116_009,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl180,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) )
<= ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf(zip_derived_cl199,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) @ xr ) )
<= ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl180]) ).
thf(zip_derived_cl300,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ~ ( aNaturalNumber0 @ xr )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ) )
<= ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl199]) ).
thf(zip_derived_cl122_010,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl310,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ) )
<= ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl300,zip_derived_cl122]) ).
thf('3',plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf('4',plain,
( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ),
inference('sat_resolution*',[status(thm)],['0','3']) ).
thf(zip_derived_cl420,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl310,'4']) ).
thf(zip_derived_cl422,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) )
<= ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl420]) ).
thf(zip_derived_cl162,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl200_011,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) )
<= ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl182]) ).
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(zip_derived_cl205,plain,
( ( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) )
<= ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl5]) ).
thf(zip_derived_cl213,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
<= ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ),
inference(split,[status(esa)],[zip_derived_cl205]) ).
thf(zip_derived_cl116_012,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl183,plain,
( ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) )
<= ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl201,plain,
( ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
<= ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl183]) ).
thf('6',plain,
( ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl213,zip_derived_cl201]) ).
thf(zip_derived_cl10_013,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl180_014,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) )
<= ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf(zip_derived_cl299,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) )
| ~ ( aNaturalNumber0 @ xr )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) )
<= ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl180]) ).
thf(zip_derived_cl116_015,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl122_016,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl116_017,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl309,plain,
( ( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ) )
<= ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl116,zip_derived_cl122,zip_derived_cl116]) ).
thf('7',plain,
( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ),
inference('sat_resolution*',[status(thm)],['0','3']) ).
thf(zip_derived_cl417,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl309,'7']) ).
thf('8',plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl417]) ).
thf('9',plain,
( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ),
inference('sat_resolution*',[status(thm)],['0','5','6','8']) ).
thf(zip_derived_cl423,plain,
( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl422,'9']) ).
thf(zip_derived_cl491,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl401,zip_derived_cl423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM512+3 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BeqD3iI9md true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:47:23 EDT 2025
% 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.82 % Solved by fo/fo1_av.sh.
% 0.57/0.82 % done 147 iterations in 0.061s
% 0.57/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.82 % SZS output start Refutation
% See solution above
% 0.57/0.82
% 0.57/0.82
% 0.57/0.82 % Terminating...
% 1.52/0.86 % Runner terminated.
% 1.52/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------