%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM500+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.uXMcRUMyrL true
% Computer : n008.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 04:47:13 PM UTC 2025
% Result : Theorem 0.57s 0.88s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 45 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 252 ( 51 ~; 52 |; 18 &; 123 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 25 !; 3 ?; 28 :)
% 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(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(xn_type,type,
xn: $i ).
thf(xm_type,type,
xm: $i ).
thf(mPrimDiv,axiom,
! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( W0 != sz00 )
& ( W0 != sz10 ) )
=> ? [W1: $i] :
( ( isPrime0 @ W1 )
& ( doDivides0 @ W1 @ W0 )
& ( aNaturalNumber0 @ W1 ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( doDivides0 @ ( sk__3 @ X0 ) @ X0 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mPrimDiv]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( isPrime0 @ ( sk__3 @ X0 ) )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mPrimDiv]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( isPrime0 @ W0 )
& ( doDivides0 @ W0 @ xk )
& ( aNaturalNumber0 @ W0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ( isPrime0 @ W0 )
& ( doDivides0 @ W0 @ xk )
& ( aNaturalNumber0 @ W0 ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ~ ( doDivides0 @ X0 @ xk )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl670,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ~ ( doDivides0 @ ( sk__3 @ X0 ) @ xk ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl87]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mPrimDiv]) ).
thf(zip_derived_cl1108,plain,
! [X0: $i] :
( ~ ( doDivides0 @ ( sk__3 @ X0 ) @ xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl670,zip_derived_cl69]) ).
thf(zip_derived_cl1110,plain,
( ~ ( aNaturalNumber0 @ xk )
| ( xk = sz00 )
| ( xk = sz10 )
| ~ ( aNaturalNumber0 @ xk )
| ( xk = sz00 )
| ( xk = sz10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl1108]) ).
thf(zip_derived_cl1111,plain,
( ( xk = sz10 )
| ( xk = sz00 )
| ~ ( aNaturalNumber0 @ xk ) ),
inference(simplify,[status(thm)],[zip_derived_cl1110]) ).
thf(m__2315,axiom,
~ ( ( xk = sz00 )
| ( xk = sz10 ) ) ).
thf(zip_derived_cl84,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__2315]) ).
thf(zip_derived_cl83,plain,
xk != sz10,
inference(cnf,[status(esa)],[m__2315]) ).
thf(zip_derived_cl1112,plain,
~ ( aNaturalNumber0 @ xk ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1111,zip_derived_cl84,zip_derived_cl83]) ).
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__2306,axiom,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ).
thf(zip_derived_cl82,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(mDefQuot,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtsldt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( W1
= ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1187,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl52]) ).
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(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_cl1189,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1187,zip_derived_cl74,zip_derived_cl70]) ).
thf(zip_derived_cl75,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__1860]) ).
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_cl674,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( xp != sz00 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl66]) ).
thf(zip_derived_cl679,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( xp != sz00 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl674]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl680,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl679,zip_derived_cl1]) ).
thf(zip_derived_cl1190,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1189,zip_derived_cl680]) ).
thf(zip_derived_cl1206,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1190]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1209,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl1206,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl1212,plain,
xk != xk,
inference('sup+',[status(thm)],[zip_derived_cl1112,zip_derived_cl1209]) ).
thf(zip_derived_cl1213,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : NUM500+1 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uXMcRUMyrL true
% 0.14/0.39 % Computer : n008.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8042.1875MB
% 0.14/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Wed Oct 1 16:47:53 EDT 2025
% 0.14/0.39 % CPUTime :
% 0.14/0.39 % Running portfolio for 300 s
% 0.14/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 % Number of cores: 8
% 0.14/0.39 % Python version: Python 3.6.8
% 0.14/0.39 % Running in FO mode
% 0.56/0.68 % Total configuration time : 435
% 0.56/0.68 % Estimated wc time : 1092
% 0.56/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.88 % Solved by fo/fo3_bce.sh.
% 0.57/0.88 % BCE start: 88
% 0.57/0.88 % BCE eliminated: 1
% 0.57/0.88 % PE start: 87
% 0.57/0.88 logic: eq
% 0.57/0.88 % PE eliminated: -10
% 0.57/0.88 % done 101 iterations in 0.092s
% 0.57/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.88 % SZS output start Refutation
% See solution above
% 0.57/0.88
% 0.57/0.88
% 0.57/0.88 % Terminating...
% 0.62/0.99 % Runner terminated.
% 0.62/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------