TSTP Solution File: NUM496+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM496+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.8pVRIubHoY true
% Computer : n017.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 12:41:53 EDT 2023
% Result : Theorem 6.19s 1.53s
% Output : Refutation 6.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of formulae : 63 ( 11 unt; 19 typ; 0 def)
% Number of atoms : 138 ( 24 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 337 ( 55 ~; 60 |; 24 &; 188 @)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 35 !; 9 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $o ).
thf(sz10_type,type,
sz10: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xr_type,type,
xr: $i ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(m_MulUnit,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( X0
= ( sdtasdt0 @ sz10 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulUnit]) ).
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(mDefDiv,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( doDivides0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( W1
= ( sdtasdt0 @ W0 @ W2 ) )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X1
!= ( sdtasdt0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[mDefDiv]) ).
thf(zip_derived_cl1945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl51]) ).
thf(zip_derived_cl1957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sdtasdt0 @ X1 @ X0 ) )
| ( doDivides0 @ X0 @ X2 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1945]) ).
thf(zip_derived_cl2165,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != X0 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sz10 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1957]) ).
thf(mSortsC_01,axiom,
( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) ) ).
thf(zip_derived_cl3,plain,
aNaturalNumber0 @ sz10,
inference(cnf,[status(esa)],[mSortsC_01]) ).
thf(zip_derived_cl2181,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( X1 != X0 )
| ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2165,zip_derived_cl3]) ).
thf(zip_derived_cl2182,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X0 @ X1 )
| ( X1 != X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2181]) ).
thf(zip_derived_cl2210,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2182]) ).
thf(zip_derived_cl2211,plain,
! [X0: $i] :
( ( doDivides0 @ X0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2210]) ).
thf(m__1883,axiom,
( ( xr
= ( sdtmndt0 @ xn @ xp ) )
& ( ( sdtpldt0 @ xp @ xr )
= xn )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl107,plain,
( ( sdtpldt0 @ xp @ xr )
= xn ),
inference(cnf,[status(esa)],[m__1883]) ).
thf(mDivSum,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W0 @ W2 ) )
=> ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( doDivides0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( doDivides0 @ X0 @ ( sdtpldt0 @ X1 @ X2 ) )
| ~ ( doDivides0 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mDivSum]) ).
thf(zip_derived_cl2263,plain,
! [X0: $i] :
( ~ ( doDivides0 @ X0 @ xp )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xr )
| ( doDivides0 @ X0 @ xn )
| ~ ( doDivides0 @ X0 @ xr ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl56]) ).
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_cl108,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1883]) ).
thf(zip_derived_cl2275,plain,
! [X0: $i] :
( ~ ( doDivides0 @ X0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X0 @ xn )
| ~ ( doDivides0 @ X0 @ xr ) ),
inference(demod,[status(thm)],[zip_derived_cl2263,zip_derived_cl70,zip_derived_cl108]) ).
thf(zip_derived_cl3825,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xp )
| ( doDivides0 @ xp @ xn )
| ~ ( doDivides0 @ xp @ xr ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2211,zip_derived_cl2275]) ).
thf(zip_derived_cl70_001,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_002,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__,conjecture,
( ( doDivides0 @ xp @ xm )
| ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xp @ xn )
| ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( doDivides0 @ xp @ xm )
| ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
| ( doDivides0 @ xp @ xn )
| ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl126,plain,
~ ( doDivides0 @ xp @ xn ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__2027,axiom,
( ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( xr
= ( sdtasdt0 @ xp @ W0 ) ) )
& ( doDivides0 @ xp @ xr ) )
| ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( xm
= ( sdtasdt0 @ xp @ W0 ) ) )
& ( doDivides0 @ xp @ xm ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_13: $o ).
thf(zf_stmt_2,axiom,
( zip_tseitin_13
=> ( ( doDivides0 @ xp @ xm )
& ? [W0: $i] : ( zip_tseitin_12 @ W0 ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_12: $i > $o ).
thf(zf_stmt_4,axiom,
! [W0: $i] :
( ( zip_tseitin_12 @ W0 )
=> ( ( xm
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_11: $o ).
thf(zf_stmt_6,axiom,
( zip_tseitin_11
=> ( ( doDivides0 @ xp @ xr )
& ? [W0: $i] : ( zip_tseitin_10 @ W0 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_10: $i > $o ).
thf(zf_stmt_8,axiom,
! [W0: $i] :
( ( zip_tseitin_10 @ W0 )
=> ( ( xr
= ( sdtasdt0 @ xp @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zf_stmt_9,axiom,
( zip_tseitin_13
| zip_tseitin_11 ) ).
thf(zip_derived_cl124,plain,
( zip_tseitin_13
| zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl118,plain,
( ( doDivides0 @ xp @ xr )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl834,plain,
( zip_tseitin_13
| ( doDivides0 @ xp @ xr ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl124,zip_derived_cl118]) ).
thf(zip_derived_cl122,plain,
( ( doDivides0 @ xp @ xm )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl128,plain,
~ ( doDivides0 @ xp @ xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl955,plain,
~ zip_tseitin_13,
inference(clc,[status(thm)],[zip_derived_cl122,zip_derived_cl128]) ).
thf(zip_derived_cl1180,plain,
doDivides0 @ xp @ xr,
inference(demod,[status(thm)],[zip_derived_cl834,zip_derived_cl955]) ).
thf(zip_derived_cl3837,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3825,zip_derived_cl70,zip_derived_cl70,zip_derived_cl126,zip_derived_cl1180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM496+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8pVRIubHoY true
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 07:52:55 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.23/0.70 % Total configuration time : 435
% 0.23/0.70 % Estimated wc time : 1092
% 0.23/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.88/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.41/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.41/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.19/1.53 % Solved by fo/fo6_bce.sh.
% 6.19/1.53 % BCE start: 129
% 6.19/1.53 % BCE eliminated: 1
% 6.19/1.53 % PE start: 128
% 6.19/1.53 logic: eq
% 6.19/1.53 % PE eliminated: 11
% 6.19/1.53 % done 415 iterations in 0.693s
% 6.19/1.53 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.19/1.53 % SZS output start Refutation
% See solution above
% 6.19/1.54
% 6.19/1.54
% 6.19/1.54 % Terminating...
% 6.19/1.65 % Runner terminated.
% 6.19/1.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------