TSTP Solution File: NUM505+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM505+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bSDZoJwNgk true
% Computer : n010.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 Aug 31 12:41:57 EDT 2023
% Result : Theorem 1.27s 0.94s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 55 ( 16 unt; 12 typ; 0 def)
% Number of atoms : 110 ( 35 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 235 ( 44 ~; 42 |; 14 &; 124 @)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% 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__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ( isPrime0 @ xp ) ) ).
thf(zip_derived_cl75,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__1860]) ).
thf(mLERefl,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERefl]) ).
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_cl1616,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl52]) ).
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_cl74,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
thf(zip_derived_cl1618,plain,
! [X0: $i] :
( ( xp = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1616,zip_derived_cl70,zip_derived_cl74]) ).
thf(zip_derived_cl1993,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( xp = sz00 )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1618]) ).
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_cl1995,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 != xk )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1993,zip_derived_cl71,zip_derived_cl72]) ).
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(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(zip_derived_cl1238,plain,
( ( sdtlseqdt0 @ xp @ xk )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xk )
| ( xk = xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl93]) ).
thf(zip_derived_cl70_001,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1261,plain,
( ( sdtlseqdt0 @ xp @ xk )
| ~ ( aNaturalNumber0 @ xk )
| ( xk = xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1238,zip_derived_cl70]) ).
thf(zip_derived_cl92,plain,
~ ( sdtlseqdt0 @ xp @ xk ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1274,plain,
( ( xk = xp )
| ~ ( aNaturalNumber0 @ xk ) ),
inference(clc,[status(thm)],[zip_derived_cl1261,zip_derived_cl92]) ).
thf(zip_derived_cl2003,plain,
( ( xk != xk )
| ( xp = sz00 )
| ( xk = xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1995,zip_derived_cl1274]) ).
thf(zip_derived_cl2007,plain,
( ( xk = xp )
| ( xp = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2003]) ).
thf(zip_derived_cl92_002,plain,
~ ( sdtlseqdt0 @ xp @ xk ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2013,plain,
( ( xp = sz00 )
| ~ ( sdtlseqdt0 @ xp @ xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2007,zip_derived_cl92]) ).
thf(zip_derived_cl2033,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2013]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2036,plain,
xp = sz00,
inference(demod,[status(thm)],[zip_derived_cl2033,zip_derived_cl70]) ).
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_cl725,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ~ ( isPrime0 @ sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl726,plain,
~ ( isPrime0 @ sz00 ),
inference(demod,[status(thm)],[zip_derived_cl725,zip_derived_cl1]) ).
thf(zip_derived_cl2063,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl2036,zip_derived_cl726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM505+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bSDZoJwNgk true
% 0.13/0.35 % Computer : n010.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 : Fri Aug 25 08:59:50 EDT 2023
% 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
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.94 % Solved by fo/fo6_bce.sh.
% 1.27/0.94 % BCE start: 94
% 1.27/0.94 % BCE eliminated: 1
% 1.27/0.94 % PE start: 93
% 1.27/0.94 logic: eq
% 1.27/0.94 % PE eliminated: 1
% 1.27/0.94 % done 209 iterations in 0.223s
% 1.27/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/0.94 % SZS output start Refutation
% See solution above
% 1.27/0.94
% 1.27/0.94
% 1.27/0.94 % Terminating...
% 1.63/0.98 % Runner terminated.
% 1.63/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------