TSTP Solution File: NUM508+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM508+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.ig4ZGMQZuA true
% Computer : n004.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 12:41:58 EDT 2023
% Result : Theorem 1.26s 0.91s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 53 ( 15 unt; 12 typ; 0 def)
% Number of atoms : 126 ( 9 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 528 ( 66 ~; 67 |; 12 &; 377 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $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(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(xn_type,type,
xn: $i ).
thf(xr_type,type,
xr: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(mSortsB,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl4_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(m__2362,axiom,
( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
& ( sdtlseqdt0 @ xr @ xk ) ) ).
thf(zip_derived_cl90,plain,
doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__2362]) ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl87,plain,
isPrime0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(mIH_03,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ( iLess0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( iLess0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mIH_03]) ).
thf(m__1799,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( isPrime0 @ W2 )
& ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) )
=> ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
=> ( ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ X2 @ X1 )
| ( doDivides0 @ X2 @ X0 )
| ~ ( doDivides0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( isPrime0 @ X2 ) ),
inference(cnf,[status(esa)],[m__1799]) ).
thf(zip_derived_cl670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ X2 @ X1 ) @ X0 ) )
| ~ ( isPrime0 @ X0 )
| ~ ( doDivides0 @ X0 @ ( sdtasdt0 @ X2 @ X1 ) )
| ( doDivides0 @ X0 @ X1 )
| ( doDivides0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl73]) ).
thf(zip_derived_cl698,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ xr )
| ( doDivides0 @ xr @ X1 )
| ( doDivides0 @ xr @ X0 )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl87,zip_derived_cl670]) ).
thf(zip_derived_cl89,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1836,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ xr @ X1 )
| ( doDivides0 @ xr @ X0 )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ xr ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl698,zip_derived_cl89]) ).
thf(zip_derived_cl1838,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) )
| ( doDivides0 @ xr @ xm )
| ( doDivides0 @ xr @ xn )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl1836]) ).
thf(m__2478,axiom,
( ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ) ).
thf(zip_derived_cl94,plain,
sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ),
inference(cnf,[status(esa)],[m__2478]) ).
thf(m__,conjecture,
( ( doDivides0 @ xr @ xn )
| ( doDivides0 @ xr @ xm ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( doDivides0 @ xr @ xn )
| ( doDivides0 @ xr @ xm ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl97,plain,
~ ( doDivides0 @ xr @ xn ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1849,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) )
| ( doDivides0 @ xr @ xm ) ),
inference(demod,[status(thm)],[zip_derived_cl1838,zip_derived_cl94,zip_derived_cl97,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl95,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2478]) ).
thf(zip_derived_cl1850,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) )
| ( doDivides0 @ xr @ xm ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1849,zip_derived_cl95]) ).
thf(zip_derived_cl96,plain,
~ ( doDivides0 @ xr @ xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1867,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1850,zip_derived_cl96]) ).
thf(zip_derived_cl1871,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1867]) ).
thf(zip_derived_cl89_003,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl1875,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1871,zip_derived_cl89]) ).
thf(zip_derived_cl1889,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1875]) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1893,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1889,zip_derived_cl70]) ).
thf(zip_derived_cl1894,plain,
~ ( aNaturalNumber0 @ ( sdtpldt0 @ xn @ xm ) ),
inference(simplify,[status(thm)],[zip_derived_cl1893]) ).
thf(zip_derived_cl1944,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1894]) ).
thf(zip_derived_cl71_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72_005,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1945,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1944,zip_derived_cl71,zip_derived_cl72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM508+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ig4ZGMQZuA true
% 0.13/0.34 % Computer : n004.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 08:54:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 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/fo13.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.91 % Solved by fo/fo3_bce.sh.
% 1.26/0.91 % BCE start: 98
% 1.26/0.91 % BCE eliminated: 1
% 1.26/0.91 % PE start: 97
% 1.26/0.91 logic: eq
% 1.26/0.91 % PE eliminated: -8
% 1.26/0.91 % done 150 iterations in 0.171s
% 1.26/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.26/0.91 % SZS output start Refutation
% See solution above
% 1.26/0.91
% 1.26/0.91
% 1.26/0.91 % Terminating...
% 1.71/0.96 % Runner terminated.
% 1.71/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------