%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM505+1 : 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.o4fdAZ52jn true
% Computer : n006.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 04:47:14 PM UTC 2025
% Result : Theorem 0.54s 1.05s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 113 ( 33 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 254 ( 53 ~; 43 |; 14 &; 134 @)
% ( 2 <=>; 8 =>; 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 : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% 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(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(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(m__,conjecture,
( ~ ( sdtlseqdt0 @ xp @ xk )
=> ( ( xk != xp )
& ( sdtlseqdt0 @ xk @ xp ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ~ ( sdtlseqdt0 @ xp @ xk )
=> ( ( xk != xp )
& ( sdtlseqdt0 @ xk @ xp ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl93,plain,
( ( xk = xp )
| ~ ( sdtlseqdt0 @ xk @ xp ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl1272,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_cl1274,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1272,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_cl685,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( xp != sz00 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl66]) ).
thf(zip_derived_cl693,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( xp != sz00 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl685]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl694,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl693,zip_derived_cl1]) ).
thf(zip_derived_cl1275,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1274,zip_derived_cl694]) ).
thf(zip_derived_cl2253,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1275]) ).
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_cl2256,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl2253,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl70_001,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl795,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xp )
| ( sdtlseqdt0 @ xp @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl35]) ).
thf(zip_derived_cl2258,plain,
! [X0: $i] :
( ( X0 != xk )
| ( sdtlseqdt0 @ xp @ X0 )
| ( sdtlseqdt0 @ X0 @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl2256,zip_derived_cl795]) ).
thf(zip_derived_cl2261,plain,
( ( sdtlseqdt0 @ xk @ xp )
| ( sdtlseqdt0 @ xp @ xk ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2258]) ).
thf(zip_derived_cl92,plain,
~ ( sdtlseqdt0 @ xp @ xk ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2262,plain,
sdtlseqdt0 @ xk @ xp,
inference(demod,[status(thm)],[zip_derived_cl2261,zip_derived_cl92]) ).
thf(zip_derived_cl2263,plain,
xk = xp,
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl2262]) ).
thf(zip_derived_cl92_002,plain,
~ ( sdtlseqdt0 @ xp @ xk ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl735,plain,
( ( xk != xp )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl34]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl739,plain,
( ( xk != xp )
| ~ ( aNaturalNumber0 @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl735,zip_derived_cl70]) ).
thf(zip_derived_cl740,plain,
( ( xk != xp )
| ~ ( aNaturalNumber0 @ xp ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl739]) ).
thf(zip_derived_cl70_004,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl749,plain,
xk != xp,
inference(demod,[status(thm)],[zip_derived_cl740,zip_derived_cl70]) ).
thf(zip_derived_cl2264,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2263,zip_derived_cl749]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM505+1 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o4fdAZ52jn true
% 0.13/0.35 % Computer : n006.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 16:38:08 EDT 2025
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/1.05 % Solved by fo/fo3_bce.sh.
% 0.54/1.05 % BCE start: 94
% 0.54/1.05 % BCE eliminated: 1
% 0.54/1.05 % PE start: 93
% 0.54/1.05 logic: eq
% 0.54/1.05 % PE eliminated: -8
% 0.54/1.05 % done 191 iterations in 0.308s
% 0.54/1.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/1.05 % SZS output start Refutation
% See solution above
% 0.54/1.05
% 0.54/1.05
% 0.54/1.05 % Terminating...
% 3.58/1.17 % Runner terminated.
% 3.58/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------