%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM523+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.zNK1IWOKvA true
% Computer : n005.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 04:47:18 PM UTC 2025
% Result : Theorem 3.70s 1.12s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 96 ( 15 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 272 ( 36 ~; 37 |; 21 &; 172 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 22 !; 6 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xm_type,type,
xm: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xp_type,type,
xp: $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__3014,axiom,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ) ).
thf(zip_derived_cl84,plain,
( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
= ( sdtasdt0 @ xn @ xn ) ),
inference(cnf,[status(esa)],[m__3014]) ).
thf(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( W1
= ( sdtasdt0 @ W0 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl1568,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl51]) ).
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(zip_derived_cl1904,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1568,zip_derived_cl5]) ).
thf(zip_derived_cl1914,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl84,zip_derived_cl1904]) ).
thf(m__2987,axiom,
( ( xp != sz00 )
& ( xm != sz00 )
& ( xn != sz00 )
& ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl74,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1927,plain,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1914,zip_derived_cl74]) ).
thf(zip_derived_cl1958,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xm )
| ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1927]) ).
thf(zip_derived_cl75,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl75_002,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl1961,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl1958,zip_derived_cl75,zip_derived_cl75]) ).
thf(mPDP,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( isPrime0 @ W2 )
& ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) )
=> ( ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) ) ) ) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X2 @ X0 )
| ( doDivides0 @ X2 @ X1 )
| ~ ( doDivides0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( isPrime0 @ X2 ) ),
inference(cnf,[status(esa)],[mPDP]) ).
thf(zip_derived_cl2178,plain,
( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xp )
| ( doDivides0 @ xp @ xn )
| ( doDivides0 @ xp @ xn )
| ~ ( isPrime0 @ xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1961,zip_derived_cl70]) ).
thf(zip_derived_cl76,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl76_003,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__2987]) ).
thf(zip_derived_cl74_004,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__2987]) ).
thf(m__,conjecture,
( ( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) )
& ( ( doDivides0 @ xp @ xn )
| ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
| ? [W0: $i] :
( ( ( sdtasdt0 @ xn @ xn )
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) )
& ( ( doDivides0 @ xp @ xn )
| ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl89,plain,
( ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
| ~ ( doDivides0 @ xp @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1961_005,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ),
inference(demod,[status(thm)],[zip_derived_cl1958,zip_derived_cl75,zip_derived_cl75]) ).
thf(zip_derived_cl1964,plain,
~ ( doDivides0 @ xp @ xn ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl1961]) ).
thf(zip_derived_cl1964_006,plain,
~ ( doDivides0 @ xp @ xn ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl1961]) ).
thf(m__3025,axiom,
( ( isPrime0 @ xp )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xp
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xp ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xp ) ) )
& ( xp != sz10 ) ) ).
thf(zip_derived_cl88,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__3025]) ).
thf(zip_derived_cl2197,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2178,zip_derived_cl76,zip_derived_cl76,zip_derived_cl74,zip_derived_cl1964,zip_derived_cl1964,zip_derived_cl88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM523+3 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zNK1IWOKvA true
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 16:16:53 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.19/0.34 % Running in FO mode
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.70/1.12 % Solved by fo/fo6_bce.sh.
% 3.70/1.12 % BCE start: 93
% 3.70/1.12 % BCE eliminated: 1
% 3.70/1.12 % PE start: 92
% 3.70/1.12 logic: eq
% 3.70/1.12 % PE eliminated: 1
% 3.70/1.12 % done 233 iterations in 0.404s
% 3.70/1.12 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.70/1.12 % SZS output start Refutation
% See solution above
% 3.70/1.12
% 3.70/1.12
% 3.70/1.12 % Terminating...
% 4.36/1.25 % Runner terminated.
% 4.36/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------