TSTP Solution File: NUM469+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM469+2 : 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.2ItYsRpAck 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 12:41:40 EDT 2023
% Result : Theorem 0.16s 0.64s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 55 ( 20 unt; 11 typ; 0 def)
% Number of atoms : 84 ( 44 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 228 ( 27 ~; 22 |; 14 &; 161 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 11 !; 4 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xl_type,type,
xl: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xn_type,type,
xn: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(xm_type,type,
xm: $i ).
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(m__1240_04,axiom,
( ( doDivides0 @ xl @ xn )
& ? [W0: $i] :
( ( xn
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xl @ xm )
& ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl59,plain,
( xm
= ( sdtasdt0 @ xl @ sk__3 ) ),
inference(cnf,[status(esa)],[m__1240_04]) ).
thf(m__,conjecture,
( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xm @ xn )
!= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl473,plain,
( ( ( sdtpldt0 @ xm @ xn )
!= xm )
| ~ ( aNaturalNumber0 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl70]) ).
thf(zip_derived_cl60,plain,
aNaturalNumber0 @ sk__3,
inference(cnf,[status(esa)],[m__1240_04]) ).
thf(zip_derived_cl475,plain,
( ( sdtpldt0 @ xm @ xn )
!= xm ),
inference(demod,[status(thm)],[zip_derived_cl473,zip_derived_cl60]) ).
thf(zip_derived_cl62,plain,
( xn
= ( sdtasdt0 @ xl @ sk__2 ) ),
inference(cnf,[status(esa)],[m__1240_04]) ).
thf(m__1298,axiom,
( ( xl != sz00 )
=> ( ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
& ( xm
= ( sdtasdt0 @ xl @ ( sdtsldt0 @ xm @ xl ) ) )
& ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xl ) )
& ( xn
= ( sdtasdt0 @ xl @ ( sdtsldt0 @ xn @ xl ) ) )
& ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ ( sdtpldt0 @ ( sdtsldt0 @ xm @ xl ) @ ( sdtsldt0 @ xn @ xl ) ) ) ) ) ) ).
thf(zip_derived_cl69,plain,
( ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ ( sdtpldt0 @ ( sdtsldt0 @ xm @ xl ) @ ( sdtsldt0 @ xn @ xl ) ) ) )
| ( xl = sz00 ) ),
inference(cnf,[status(esa)],[m__1298]) ).
thf(zip_derived_cl70_001,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xm @ xn )
!= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl510,plain,
( ( ( sdtpldt0 @ xm @ xn )
!= ( sdtpldt0 @ xm @ xn ) )
| ( xl = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtsldt0 @ xm @ xl ) @ ( sdtsldt0 @ xn @ xl ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl70]) ).
thf(zip_derived_cl512,plain,
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ ( sdtsldt0 @ xm @ xl ) @ ( sdtsldt0 @ xn @ xl ) ) )
| ( xl = sz00 ) ),
inference(simplify,[status(thm)],[zip_derived_cl510]) ).
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_cl513,plain,
( ( xl = sz00 )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xl ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl512,zip_derived_cl4]) ).
thf(zip_derived_cl67,plain,
( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xl ) )
| ( xl = sz00 ) ),
inference(cnf,[status(esa)],[m__1298]) ).
thf(zip_derived_cl515,plain,
( ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
| ( xl = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl513,zip_derived_cl67]) ).
thf(zip_derived_cl65,plain,
( ( aNaturalNumber0 @ ( sdtsldt0 @ xm @ xl ) )
| ( xl = sz00 ) ),
inference(cnf,[status(esa)],[m__1298]) ).
thf(zip_derived_cl516,plain,
xl = sz00,
inference(clc,[status(thm)],[zip_derived_cl515,zip_derived_cl65]) ).
thf(zip_derived_cl520,plain,
( xn
= ( sdtasdt0 @ sz00 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl516]) ).
thf(m_MulZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl577,plain,
( ( sz00 = xn )
| ~ ( aNaturalNumber0 @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl15]) ).
thf(zip_derived_cl63,plain,
aNaturalNumber0 @ sk__2,
inference(cnf,[status(esa)],[m__1240_04]) ).
thf(zip_derived_cl579,plain,
sz00 = xn,
inference(demod,[status(thm)],[zip_derived_cl577,zip_derived_cl63]) ).
thf(zip_derived_cl586,plain,
( ( sdtpldt0 @ xm @ sz00 )
!= xm ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl579]) ).
thf(zip_derived_cl59_002,plain,
( xm
= ( sdtasdt0 @ xl @ sk__3 ) ),
inference(cnf,[status(esa)],[m__1240_04]) ).
thf(zip_derived_cl516_003,plain,
xl = sz00,
inference(clc,[status(thm)],[zip_derived_cl515,zip_derived_cl65]) ).
thf(zip_derived_cl518,plain,
( xm
= ( sdtasdt0 @ sz00 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl516]) ).
thf(zip_derived_cl15_004,plain,
! [X0: $i] :
( ( sz00
= ( sdtasdt0 @ sz00 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
thf(zip_derived_cl578,plain,
( ( sz00 = xm )
| ~ ( aNaturalNumber0 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl15]) ).
thf(zip_derived_cl60_005,plain,
aNaturalNumber0 @ sk__3,
inference(cnf,[status(esa)],[m__1240_04]) ).
thf(zip_derived_cl580,plain,
sz00 = xm,
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl60]) ).
thf(zip_derived_cl580_006,plain,
sz00 = xm,
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl60]) ).
thf(zip_derived_cl595,plain,
( ( sdtpldt0 @ sz00 @ sz00 )
!= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl586,zip_derived_cl580,zip_derived_cl580]) ).
thf(zip_derived_cl598,plain,
( ( sz00 != sz00 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl595]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl602,plain,
sz00 != sz00,
inference(demod,[status(thm)],[zip_derived_cl598,zip_derived_cl1]) ).
thf(zip_derived_cl603,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM469+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2ItYsRpAck true
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Aug 25 08:01:42 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.16/0.53 % Total configuration time : 435
% 0.16/0.53 % Estimated wc time : 1092
% 0.16/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.59 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.59 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.64 % Solved by fo/fo3_bce.sh.
% 0.16/0.64 % BCE start: 72
% 0.16/0.64 % BCE eliminated: 2
% 0.16/0.64 % PE start: 70
% 0.16/0.64 logic: eq
% 0.16/0.64 % PE eliminated: 0
% 0.16/0.64 % done 56 iterations in 0.032s
% 0.16/0.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.16/0.64 % SZS output start Refutation
% See solution above
% 0.16/0.64
% 0.16/0.64
% 0.16/0.64 % Terminating...
% 0.16/0.74 % Runner terminated.
% 0.16/0.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------