%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM487+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.6jCNTvC196 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 04:47:10 PM UTC 2025
% Result : Theorem 0.57s 0.92s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 146 ( 52 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 324 ( 62 ~; 56 |; 16 &; 178 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 39 ( 0 ^; 38 !; 1 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $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(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(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ( isPrime0 @ xp ) ) ).
thf(zip_derived_cl75,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__1860]) ).
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(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_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtmndt0 @ X1 @ X0 ) )
| ( ( sdtpldt0 @ X0 @ X2 )
= X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
thf(zip_derived_cl703,plain,
! [X0: $i] :
( ( X0 != xr )
| ~ ( sdtlseqdt0 @ xp @ xn )
| ( ( sdtpldt0 @ xp @ X0 )
= xn )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl29]) ).
thf(m__1870,axiom,
sdtlseqdt0 @ xp @ xn ).
thf(zip_derived_cl76,plain,
sdtlseqdt0 @ xp @ xn,
inference(cnf,[status(esa)],[m__1870]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl705,plain,
! [X0: $i] :
( ( X0 != xr )
| ( ( sdtpldt0 @ xp @ X0 )
= xn ) ),
inference(demod,[status(thm)],[zip_derived_cl703,zip_derived_cl76,zip_derived_cl72,zip_derived_cl70]) ).
thf(zip_derived_cl788,plain,
( ( sdtpldt0 @ xp @ xr )
= xn ),
inference(eq_res,[status(thm)],[zip_derived_cl705]) ).
thf(mAddCanc,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W0 @ W2 ) )
| ( ( sdtpldt0 @ W1 @ W0 )
= ( sdtpldt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X0 @ X1 )
!= ( sdtpldt0 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl791,plain,
! [X0: $i] :
( ( xn
!= ( sdtpldt0 @ X0 @ xr ) )
| ( xp = X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl788,zip_derived_cl18]) ).
thf(zip_derived_cl77_001,plain,
( xr
= ( sdtmndt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__1883]) ).
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_cl218,plain,
! [X0: $i] :
( ( X0 != xr )
| ~ ( sdtlseqdt0 @ xp @ xn )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl30]) ).
thf(zip_derived_cl76_002,plain,
sdtlseqdt0 @ xp @ xn,
inference(cnf,[status(esa)],[m__1870]) ).
thf(zip_derived_cl72_003,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_004,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ( X0 != xr )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl76,zip_derived_cl72,zip_derived_cl70]) ).
thf(zip_derived_cl259,plain,
aNaturalNumber0 @ xr,
inference(eq_res,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl70_005,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl802,plain,
! [X0: $i] :
( ( xn
!= ( sdtpldt0 @ X0 @ xr ) )
| ( xp = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl791,zip_derived_cl259,zip_derived_cl70]) ).
thf(m__,conjecture,
( ( xr != xn )
& ( sdtlseqdt0 @ xr @ xn ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( xr != xn )
& ( sdtlseqdt0 @ xr @ xn ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl78,plain,
( ( xr = xn )
| ~ ( sdtlseqdt0 @ xr @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl788_006,plain,
( ( sdtpldt0 @ xp @ xr )
= xn ),
inference(eq_res,[status(thm)],[zip_derived_cl705]) ).
thf(mAddComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl790,plain,
( ( xn
= ( sdtpldt0 @ xr @ xp ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl788,zip_derived_cl6]) ).
thf(zip_derived_cl259_007,plain,
aNaturalNumber0 @ xr,
inference(eq_res,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl70_008,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl801,plain,
( xn
= ( sdtpldt0 @ xr @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl790,zip_derived_cl259,zip_derived_cl70]) ).
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_cl934,plain,
! [X0: $i] :
( ( xn != X0 )
| ~ ( aNaturalNumber0 @ xp )
| ( sdtlseqdt0 @ xr @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('sup-',[status(thm)],[zip_derived_cl801,zip_derived_cl27]) ).
thf(zip_derived_cl70_009,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl259_010,plain,
aNaturalNumber0 @ xr,
inference(eq_res,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl944,plain,
! [X0: $i] :
( ( xn != X0 )
| ( sdtlseqdt0 @ xr @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl934,zip_derived_cl70,zip_derived_cl259]) ).
thf(zip_derived_cl998,plain,
( ~ ( aNaturalNumber0 @ xn )
| ( sdtlseqdt0 @ xr @ xn ) ),
inference(eq_res,[status(thm)],[zip_derived_cl944]) ).
thf(zip_derived_cl72_011,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl999,plain,
sdtlseqdt0 @ xr @ xn,
inference(demod,[status(thm)],[zip_derived_cl998,zip_derived_cl72]) ).
thf(zip_derived_cl1000,plain,
xr = xn,
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl999]) ).
thf(zip_derived_cl1210,plain,
! [X0: $i] :
( ( xr
!= ( sdtpldt0 @ X0 @ xr ) )
| ( xp = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl802,zip_derived_cl1000]) ).
thf(zip_derived_cl1213,plain,
( ( xr != xr )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ sz00 )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1210]) ).
thf(zip_derived_cl259_012,plain,
aNaturalNumber0 @ xr,
inference(eq_res,[status(thm)],[zip_derived_cl220]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl1221,plain,
( ( xr != xr )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1213,zip_derived_cl259,zip_derived_cl1]) ).
thf(zip_derived_cl1222,plain,
xp = sz00,
inference(simplify,[status(thm)],[zip_derived_cl1221]) ).
thf(mDefPrime,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( isPrime0 @ W0 )
<=> ( ( W0 != sz00 )
& ( W0 != sz10 )
& ! [W1: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( doDivides0 @ W1 @ W0 ) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) ) ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl81,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( isPrime0 @ sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl1_013,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl82,plain,
~ ( isPrime0 @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl1]) ).
thf(zip_derived_cl1229,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl1222,zip_derived_cl82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM487+1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6jCNTvC196 true
% 0.13/0.35 % Computer : n028.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 16:48:23 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.92 % Solved by fo/fo5.sh.
% 0.57/0.92 % done 165 iterations in 0.111s
% 0.57/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.92 % SZS output start Refutation
% See solution above
% 0.57/0.92
% 0.57/0.92
% 0.57/0.92 % Terminating...
% 0.58/0.97 % Runner terminated.
% 0.58/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------