%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM476+2 : 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.8yw5JxrUEH true
% Computer : n022.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 04:47:07 PM UTC 2025
% Result : Theorem 0.58s 0.80s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 91 ( 53 equ; 0 cnn)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 233 ( 22 ~; 15 |; 37 &; 153 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 7 !; 12 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xn_type,type,
xn: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(xl_type,type,
xl: $i ).
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__1324_04,axiom,
( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xl @ xm )
& ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl63,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ sk__2 ) ),
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(m__,conjecture,
( ( ( xl != sz00 )
=> ? [W0: $i] :
( ? [W1: $i] :
( ? [W2: $i] :
( ( xn
= ( sdtasdt0 @ xl @ W2 ) )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ W0 ) @ ( sdtasdt0 @ xl @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xl @ W0 ) @ xn ) )
& ( W2
= ( sdtmndt0 @ W1 @ W0 ) )
& ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) )
& ( sdtlseqdt0 @ W0 @ W1 )
& ? [W2: $i] :
( ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) )
& ( W1
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) )
& ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
& ( W0
= ( sdtsldt0 @ xm @ xl ) )
& ( xm
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) )
=> ( ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xl @ xn ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( xl != sz00 )
=> ? [W0: $i] :
( ? [W1: $i] :
( ? [W2: $i] :
( ( xn
= ( sdtasdt0 @ xl @ W2 ) )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xl @ W0 ) @ ( sdtasdt0 @ xl @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xl @ W0 ) @ xn ) )
& ( W2
= ( sdtmndt0 @ W1 @ W0 ) )
& ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) )
& ( sdtlseqdt0 @ W0 @ W1 )
& ? [W2: $i] :
( ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) )
& ( W1
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) )
& ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
& ( W0
= ( sdtsldt0 @ xm @ xl ) )
& ( xm
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) )
=> ( ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xl @ xn ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl72,plain,
( ( xn
= ( sdtasdt0 @ xl @ sk__6 ) )
| ( xl = sz00 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl506,plain,
( ( xn != xn )
| ( xl = sz00 )
| ~ ( aNaturalNumber0 @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl80]) ).
thf(zip_derived_cl507,plain,
( ~ ( aNaturalNumber0 @ sk__6 )
| ( xl = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl506]) ).
thf(zip_derived_cl76,plain,
( ( aNaturalNumber0 @ sk__6 )
| ( xl = sz00 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl508,plain,
xl = sz00,
inference(clc,[status(thm)],[zip_derived_cl507,zip_derived_cl76]) ).
thf(zip_derived_cl523,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ sz00 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl508]) ).
thf(zip_derived_cl80_001,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl508_002,plain,
xl = sz00,
inference(clc,[status(thm)],[zip_derived_cl507,zip_derived_cl76]) ).
thf(zip_derived_cl513,plain,
! [X0: $i] :
( ( xn
!= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl508]) ).
thf(zip_derived_cl525,plain,
( ( xn
!= ( sdtpldt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl513]) ).
thf(zip_derived_cl64,plain,
aNaturalNumber0 @ sk__2,
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl527,plain,
( xn
!= ( sdtpldt0 @ xm @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl525,zip_derived_cl64]) ).
thf(zip_derived_cl60,plain,
( xm
= ( sdtasdt0 @ xl @ sk__3 ) ),
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl508_003,plain,
xl = sz00,
inference(clc,[status(thm)],[zip_derived_cl507,zip_derived_cl76]) ).
thf(zip_derived_cl510,plain,
( xm
= ( sdtasdt0 @ sz00 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl508]) ).
thf(m_MulZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl567,plain,
( ( sz00 = xm )
| ~ ( aNaturalNumber0 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl510,zip_derived_cl15]) ).
thf(zip_derived_cl61,plain,
aNaturalNumber0 @ sk__3,
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl569,plain,
sz00 = xm,
inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl61]) ).
thf(zip_derived_cl580,plain,
( xn
!= ( sdtpldt0 @ sz00 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl569]) ).
thf(zip_derived_cl604,plain,
( ( xn != xn )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl580]) ).
thf(m__1324,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xl ) ) ).
thf(zip_derived_cl57,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl605,plain,
xn != xn,
inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl57]) ).
thf(zip_derived_cl606,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM476+2 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8yw5JxrUEH true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 16:29:08 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.80 % Solved by fo/fo3_bce.sh.
% 0.58/0.80 % BCE start: 82
% 0.58/0.80 % BCE eliminated: 2
% 0.58/0.80 % PE start: 80
% 0.58/0.80 logic: eq
% 0.58/0.80 % PE eliminated: 0
% 0.58/0.80 % done 53 iterations in 0.030s
% 0.58/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.80 % SZS output start Refutation
% See solution above
% 0.58/0.80
% 0.58/0.80
% 0.58/0.80 % Terminating...
% 0.62/0.85 % Runner terminated.
% 0.62/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------