%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM487+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PvnylITIYQ 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 04:47:10 PM UTC 2025
% Result : Theorem 0.36s 0.95s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 99 ( 48 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 216 ( 34 ~; 33 |; 20 &; 124 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 23 ( 0 ^; 19 !; 4 ?; 23 :)
% 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(xr_type,type,
xr: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
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__1883,axiom,
( ( xr
= ( sdtmndt0 @ xn @ xp ) )
& ( ( sdtpldt0 @ xp @ xr )
= xn )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl107,plain,
( ( sdtpldt0 @ xp @ xr )
= xn ),
inference(cnf,[status(esa)],[m__1883]) ).
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_cl182,plain,
( ( xn
= ( sdtpldt0 @ xr @ xp ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl6]) ).
thf(zip_derived_cl108,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1883]) ).
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_cl186,plain,
( xn
= ( sdtpldt0 @ xr @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl108,zip_derived_cl70]) ).
thf(zip_derived_cl186_001,plain,
( xn
= ( sdtpldt0 @ xr @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl108,zip_derived_cl70]) ).
thf(m__,conjecture,
( ( xr != xn )
& ( ( sdtlseqdt0 @ xr @ xn )
| ? [W0: $i] :
( ( ( sdtpldt0 @ xr @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( xr != xn )
& ( ( sdtlseqdt0 @ xr @ xn )
| ? [W0: $i] :
( ( ( sdtpldt0 @ xr @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ( xr = xn )
| ( ( sdtpldt0 @ xr @ X0 )
!= xn )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
( ( xn != xn )
| ~ ( aNaturalNumber0 @ xp )
| ( xr = xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl110]) ).
thf(zip_derived_cl70_002,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl197,plain,
( ( xn != xn )
| ( xr = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl70]) ).
thf(zip_derived_cl198,plain,
xr = xn,
inference(simplify,[status(thm)],[zip_derived_cl197]) ).
thf(zip_derived_cl238,plain,
( xr
= ( sdtpldt0 @ xr @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl198]) ).
thf(zip_derived_cl6_003,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ X0 @ X1 )
= ( sdtpldt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mAddComm]) ).
thf(zip_derived_cl108_004,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1883]) ).
thf(zip_derived_cl139,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xr @ X0 )
= ( sdtpldt0 @ X0 @ xr ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl108]) ).
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(zip_derived_cl374,plain,
( ( xr
= ( sdtpldt0 @ xr @ sz00 ) )
| ~ ( aNaturalNumber0 @ sz00 )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('sup+',[status(thm)],[zip_derived_cl139,zip_derived_cl9]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl108_005,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1883]) ).
thf(zip_derived_cl375,plain,
( xr
= ( sdtpldt0 @ xr @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl374,zip_derived_cl1,zip_derived_cl108]) ).
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_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= ( sdtpldt0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl895,plain,
! [X0: $i] :
( ( xr
!= ( sdtpldt0 @ xr @ X0 ) )
| ( sz00 = X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl19]) ).
thf(zip_derived_cl108_006,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1883]) ).
thf(zip_derived_cl1_007,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl931,plain,
! [X0: $i] :
( ( xr
!= ( sdtpldt0 @ xr @ X0 ) )
| ( sz00 = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl895,zip_derived_cl108,zip_derived_cl1]) ).
thf(zip_derived_cl958,plain,
( ( xr != xr )
| ~ ( aNaturalNumber0 @ xp )
| ( sz00 = xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl931]) ).
thf(zip_derived_cl70_008,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl970,plain,
( ( xr != xr )
| ( sz00 = xp ) ),
inference(demod,[status(thm)],[zip_derived_cl958,zip_derived_cl70]) ).
thf(zip_derived_cl971,plain,
sz00 = xp,
inference(simplify,[status(thm)],[zip_derived_cl970]) ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( isPrime0 @ xp )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xp
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xp ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xp ) ) )
& ( xp != sz10 )
& ( xp != sz00 ) ) ).
thf(zip_derived_cl95,plain,
xp != sz00,
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl972,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl971,zip_derived_cl95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.20 % Problem : NUM487+3 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.21 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PvnylITIYQ true
% 0.14/0.43 % Computer : n019.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8042.1875MB
% 0.14/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Wed Oct 1 16:41:08 EDT 2025
% 0.22/0.43 % CPUTime :
% 0.22/0.43 % Running portfolio for 300 s
% 0.22/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43 % Number of cores: 8
% 0.22/0.44 % Python version: Python 3.6.8
% 0.22/0.44 % Running in FO mode
% 0.34/0.69 % Total configuration time : 435
% 0.34/0.69 % Estimated wc time : 1092
% 0.34/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.36/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.36/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.36/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.36/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.36/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.36/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.36/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.36/0.95 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.36/0.95 % Solved by fo/fo5.sh.
% 0.36/0.95 % done 194 iterations in 0.116s
% 0.36/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.36/0.95 % SZS output start Refutation
% See solution above
% 0.36/0.95
% 0.36/0.95
% 0.36/0.95 % Terminating...
% 0.36/1.01 % Runner terminated.
% 2.01/1.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------