TSTP Solution File: NUM512+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM512+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KMe5PNiiUx 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 Aug 31 12:42:00 EDT 2023
% Result : Theorem 1.44s 0.86s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 61 ( 21 unt; 14 typ; 0 def)
% Number of atoms : 117 ( 56 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 551 ( 50 ~; 34 |; 28 &; 431 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 17 !; 3 ?; 20 :)
% 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(sdtpldt0_type,type,
sdtpldt0: $i > $i > $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(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(xk_type,type,
xk: $i ).
thf(xr_type,type,
xr: $i ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(mMulAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
thf(zip_derived_cl10_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl10_003,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__,conjecture,
( ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) ) )
& ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) )
& ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) )
=> ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
= ( sdtasdt0 @ xn @ xm ) ) )
& ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) )
& ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) )
=> ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl160,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) @ xr ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__2306,axiom,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk ) ) ).
thf(zip_derived_cl116,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl1274,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl116]) ).
thf(zip_derived_cl1399,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ~ ( aNaturalNumber0 @ xr )
| ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1274]) ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( xr
= ( sdtasdt0 @ W0 @ W1 ) )
& ( aNaturalNumber0 @ W1 ) )
| ( doDivides0 @ W0 @ xr ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xr ) ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( doDivides0 @ xr @ xk )
& ? [W0: $i] :
( ( xk
= ( sdtasdt0 @ xr @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl122,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1427,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1399,zip_derived_cl122]) ).
thf(zip_derived_cl161,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xp @ xk )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_004,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl116_005,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl1295,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl116,zip_derived_cl116]) ).
thf(zip_derived_cl1740,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1427,zip_derived_cl1295]) ).
thf(zip_derived_cl162,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xp @ xk ) @ xr ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116_006,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(zip_derived_cl1360,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xr ) ) ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl116]) ).
thf(zip_derived_cl1741,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ),
inference(clc,[status(thm)],[zip_derived_cl1740,zip_derived_cl1360]) ).
thf(zip_derived_cl1745,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1741]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__2504,axiom,
( ( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn )
& ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
& ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ~ ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
& ( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
=> ( ( sdtsldt0 @ xn @ xr )
= xn ) ) ) ).
thf(zip_derived_cl154,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl1750,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xm @ ( sdtsldt0 @ xn @ xr ) ) @ xr )
!= ( sdtasdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1745,zip_derived_cl71,zip_derived_cl154]) ).
thf(zip_derived_cl1805,plain,
( ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xr ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1750]) ).
thf(zip_derived_cl122_007,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl71_008,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl154_009,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl1808,plain,
( ( sdtasdt0 @ xm @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xr ) )
!= ( sdtasdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1805,zip_derived_cl122,zip_derived_cl71,zip_derived_cl154]) ).
thf(zip_derived_cl1809,plain,
( ( ( sdtasdt0 @ xm @ ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1808]) ).
thf(zip_derived_cl153,plain,
( xn
= ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl122_010,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl154_011,plain,
aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ),
inference(cnf,[status(esa)],[m__2504]) ).
thf(zip_derived_cl1811,plain,
( ( sdtasdt0 @ xm @ xn )
!= ( sdtasdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1809,zip_derived_cl153,zip_derived_cl122,zip_derived_cl154]) ).
thf(zip_derived_cl1813,plain,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1811]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_012,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1815,plain,
( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1813,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl1816,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1815]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM512+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KMe5PNiiUx true
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 08:52:40 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.44/0.86 % Solved by fo/fo3_bce.sh.
% 1.44/0.86 % BCE start: 169
% 1.44/0.86 % BCE eliminated: 1
% 1.44/0.86 % PE start: 168
% 1.44/0.86 logic: eq
% 1.44/0.86 % PE eliminated: -11
% 1.44/0.86 % done 143 iterations in 0.104s
% 1.44/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.44/0.86 % SZS output start Refutation
% See solution above
% 1.44/0.86
% 1.44/0.86
% 1.44/0.86 % Terminating...
% 1.98/0.96 % Runner terminated.
% 1.98/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------