TSTP Solution File: NUM521+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM521+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.QSjf8P0ppn true
% Computer : n032.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 12:42:05 EDT 2023
% Result : Theorem 0.13s 0.74s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 53 ( 18 unt; 11 typ; 0 def)
% Number of atoms : 98 ( 27 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 204 ( 41 ~; 35 |; 17 &; 107 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 ^; 11 !; 6 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(xm_type,type,
xm: $i ).
thf(m__2287,axiom,
~ ( ( ( sdtlseqdt0 @ xm @ xp )
| ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xm @ W0 )
= xp ) ) )
& ( xm != xp )
& ( ( sdtlseqdt0 @ xn @ xp )
| ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xn @ W0 )
= xp ) ) )
& ( xn != xp ) ) ).
thf(zf_stmt_0,axiom,
( ( ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ W0 )
= xp )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ xm @ xp ) )
=> zip_tseitin_10 ) ).
thf(zip_derived_cl108,plain,
( zip_tseitin_10
| ~ ( sdtlseqdt0 @ xm @ xp ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,type,
zip_tseitin_11: $o ).
thf(zf_stmt_2,axiom,
( ( ? [W0: $i] :
( ( ( sdtpldt0 @ xn @ W0 )
= xp )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ xn @ xp ) )
=> zip_tseitin_11 ) ).
thf(zf_stmt_3,type,
zip_tseitin_10: $o ).
thf(zf_stmt_4,axiom,
~ ( ( xn != xp )
& zip_tseitin_11
& ( xm != xp )
& zip_tseitin_10 ) ).
thf(zip_derived_cl111,plain,
( ( xn = xp )
| ~ zip_tseitin_11
| ( xm = xp )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl800,plain,
( ~ ( sdtlseqdt0 @ xm @ xp )
| ( xm = xp )
| ~ zip_tseitin_11
| ( xn = xp ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl108,zip_derived_cl111]) ).
thf(zip_derived_cl110,plain,
( zip_tseitin_11
| ~ ( sdtlseqdt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
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__1870,axiom,
~ ( ? [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ xp @ xn ) ) ).
thf(zip_derived_cl103,plain,
~ ( sdtlseqdt0 @ xp @ xn ),
inference(cnf,[status(esa)],[m__1870]) ).
thf(zip_derived_cl1566,plain,
( ( sdtlseqdt0 @ xn @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl103]) ).
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_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1578,plain,
sdtlseqdt0 @ xn @ xp,
inference(demod,[status(thm)],[zip_derived_cl1566,zip_derived_cl72,zip_derived_cl70]) ).
thf(zip_derived_cl1590,plain,
zip_tseitin_11,
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl1578]) ).
thf(zip_derived_cl1635,plain,
( ~ ( sdtlseqdt0 @ xm @ xp )
| ( xm = xp )
| ( xn = xp ) ),
inference(demod,[status(thm)],[zip_derived_cl800,zip_derived_cl1590]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xp @ X0 )
!= xn )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1870]) ).
thf(zip_derived_cl907,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( xp != xn )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl104]) ).
thf(zip_derived_cl70_001,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl912,plain,
xp != xn,
inference(demod,[status(thm)],[zip_derived_cl907,zip_derived_cl70,zip_derived_cl1]) ).
thf(zip_derived_cl8_002,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(m__2075,axiom,
~ ( ? [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
= xm )
& ( aNaturalNumber0 @ W0 ) )
| ( sdtlseqdt0 @ xp @ xm ) ) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xp @ X0 )
!= xm )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m__2075]) ).
thf(zip_derived_cl915,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( xp != xm )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl106]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1_004,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl920,plain,
xp != xm,
inference(demod,[status(thm)],[zip_derived_cl915,zip_derived_cl70,zip_derived_cl1]) ).
thf(zip_derived_cl1636,plain,
~ ( sdtlseqdt0 @ xm @ xp ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1635,zip_derived_cl912,zip_derived_cl920]) ).
thf(zip_derived_cl35_005,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl105,plain,
~ ( sdtlseqdt0 @ xp @ xm ),
inference(cnf,[status(esa)],[m__2075]) ).
thf(zip_derived_cl1567,plain,
( ( sdtlseqdt0 @ xm @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl105]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_006,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1579,plain,
sdtlseqdt0 @ xm @ xp,
inference(demod,[status(thm)],[zip_derived_cl1567,zip_derived_cl71,zip_derived_cl70]) ).
thf(zip_derived_cl1638,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1636,zip_derived_cl1579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM521+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QSjf8P0ppn true
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri Aug 25 17:07:58 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % Running portfolio for 300 s
% 0.09/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.29 % Running in FO mode
% 0.13/0.51 % Total configuration time : 435
% 0.13/0.51 % Estimated wc time : 1092
% 0.13/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.13/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.74 % Solved by fo/fo6_bce.sh.
% 0.13/0.74 % BCE start: 116
% 0.13/0.74 % BCE eliminated: 1
% 0.13/0.74 % PE start: 115
% 0.13/0.74 logic: eq
% 0.13/0.74 % PE eliminated: 9
% 0.13/0.74 % done 146 iterations in 0.137s
% 0.13/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.13/0.74 % SZS output start Refutation
% See solution above
% 0.13/0.74
% 0.13/0.74
% 0.13/0.74 % Terminating...
% 1.48/0.83 % Runner terminated.
% 1.48/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------