%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM492+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.1WSrxIlDnI true
% Computer : n003.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 04:47:11 PM UTC 2025
% Result : Theorem 26.99s 7.16s
% Output : Refutation 26.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 106 ( 12 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 337 ( 47 ~; 40 |; 11 &; 232 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $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(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xr_type,type,
xr: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $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(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(m__,conjecture,
doDivides0 @ xp @ ( sdtasdt0 @ xr @ xm ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( doDivides0 @ xp @ ( sdtasdt0 @ xr @ xm ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl85,plain,
~ ( doDivides0 @ xp @ ( sdtasdt0 @ xr @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(m__1951,axiom,
( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xr @ xm ) ) ) ).
thf(zip_derived_cl81,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xr @ xm ) ) ),
inference(cnf,[status(esa)],[m__1951]) ).
thf(zip_derived_cl702,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xr @ xm ) ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl81]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl738,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xr @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl70,zip_derived_cl71]) ).
thf(mDivMin,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
=> ( doDivides0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X0 @ X2 )
| ~ ( doDivides0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDivMin]) ).
thf(zip_derived_cl1291,plain,
! [X0: $i] :
( ~ ( doDivides0 @ X0 @ ( sdtasdt0 @ xn @ xm ) )
| ( doDivides0 @ X0 @ ( sdtasdt0 @ xr @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( doDivides0 @ X0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl57]) ).
thf(zip_derived_cl34020,plain,
( ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl1291]) ).
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(m__2001,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xp @ xm ) )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ) ).
thf(zip_derived_cl83,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xp @ xm ),
inference(cnf,[status(esa)],[m__2001]) ).
thf(zip_derived_cl704,plain,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl83]) ).
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_cl740,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xm @ xp ),
inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl70_005,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_cl34043,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34020,zip_derived_cl740,zip_derived_cl70,zip_derived_cl74]) ).
thf(zip_derived_cl34084,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl34043]) ).
thf(zip_derived_cl71_006,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1883,axiom,
( xr
= ( sdtmndt0 @ xn @ xp ) ) ).
thf(zip_derived_cl77,plain,
( xr
= ( sdtmndt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__1883]) ).
thf(mDefDiff,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> ! [W2: $i] :
( ( W2
= ( sdtmndt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( ( sdtpldt0 @ W0 @ W2 )
= W1 ) ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtmndt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
thf(zip_derived_cl849,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ X1 @ X0 )
| ( aNaturalNumber0 @ ( sdtmndt0 @ X0 @ X1 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl6334,plain,
( ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( sdtlseqdt0 @ xp @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl849]) ).
thf(zip_derived_cl70_007,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1870,axiom,
sdtlseqdt0 @ xp @ xn ).
thf(zip_derived_cl76,plain,
sdtlseqdt0 @ xp @ xn,
inference(cnf,[status(esa)],[m__1870]) ).
thf(zip_derived_cl6337,plain,
aNaturalNumber0 @ xr,
inference(demod,[status(thm)],[zip_derived_cl6334,zip_derived_cl70,zip_derived_cl72,zip_derived_cl76]) ).
thf(zip_derived_cl34087,plain,
~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl34084,zip_derived_cl71,zip_derived_cl6337]) ).
thf(zip_derived_cl34094,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl34087]) ).
thf(zip_derived_cl70_008,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl34095,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl34094,zip_derived_cl70,zip_derived_cl71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.21 % Problem : NUM492+1 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.22 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1WSrxIlDnI true
% 0.11/0.45 % Computer : n003.cluster.edu
% 0.11/0.45 % Model : x86_64 x86_64
% 0.11/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.45 % Memory : 8042.1875MB
% 0.11/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.45 % CPULimit : 300
% 0.11/0.45 % WCLimit : 300
% 0.11/0.45 % DateTime : Wed Oct 1 16:42:38 EDT 2025
% 0.11/0.45 % CPUTime :
% 0.11/0.45 % Running portfolio for 300 s
% 0.11/0.45 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.46 % Number of cores: 8
% 0.11/0.46 % Python version: Python 3.6.8
% 0.11/0.46 % Running in FO mode
% 0.25/0.72 % Total configuration time : 435
% 0.25/0.72 % Estimated wc time : 1092
% 0.25/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.27/0.85 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.27/0.87 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.27/0.92 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.27/0.92 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.27/0.96 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.27/0.97 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.27/0.99 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 26.99/7.16 % Solved by fo/fo3_bce.sh.
% 26.99/7.16 % BCE start: 86
% 26.99/7.16 % BCE eliminated: 1
% 26.99/7.16 % PE start: 85
% 26.99/7.16 logic: eq
% 26.99/7.16 % PE eliminated: -5
% 26.99/7.16 % done 2087 iterations in 6.237s
% 26.99/7.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.99/7.16 % SZS output start Refutation
% See solution above
% 26.99/7.16
% 26.99/7.16
% 26.99/7.16 % Terminating...
% 27.33/7.31 % Runner terminated.
% 27.33/7.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------