TSTP Solution File: NUM514+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM514+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.6YXPTqLTlH true
% Computer : n014.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 12:42:01 EDT 2023
% Result : Theorem 32.56s 5.29s
% Output : Refutation 32.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 66 ( 25 unt; 12 typ; 0 def)
% Number of atoms : 133 ( 36 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 342 ( 66 ~; 56 |; 14 &; 197 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 35 !; 1 ?; 36 :)
% 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(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(xk_type,type,
xk: $i ).
thf(xn_type,type,
xn: $i ).
thf(xr_type,type,
xr: $i ).
thf(xm_type,type,
xm: $i ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(m__2306,axiom,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ).
thf(zip_derived_cl82,plain,
( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
inference(cnf,[status(esa)],[m__2306]) ).
thf(mDefQuot,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtsldt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( W1
= ( sdtasdt0 @ W0 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1586,plain,
! [X0: $i] :
( ( X0 != xk )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xp )
| ( xp = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl52]) ).
thf(m__1860,axiom,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
& ( isPrime0 @ xp ) ) ).
thf(zip_derived_cl74,plain,
doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ),
inference(cnf,[status(esa)],[m__1860]) ).
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_cl1588,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ( xp = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1586,zip_derived_cl74,zip_derived_cl70]) ).
thf(zip_derived_cl75,plain,
isPrime0 @ xp,
inference(cnf,[status(esa)],[m__1860]) ).
thf(mDefPrime,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( isPrime0 @ W0 )
<=> ( ( W0 != sz00 )
& ( W0 != sz10 )
& ! [W1: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( doDivides0 @ W1 @ W0 ) )
=> ( ( W1 = sz10 )
| ( W1 = W0 ) ) ) ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl701,plain,
( ~ ( aNaturalNumber0 @ xp )
| ( xp != sz00 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl66]) ).
thf(zip_derived_cl709,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( xp != sz00 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl701]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl710,plain,
xp != sz00,
inference(demod,[status(thm)],[zip_derived_cl709,zip_derived_cl1]) ).
thf(zip_derived_cl1589,plain,
! [X0: $i] :
( ( X0 != xk )
| ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1588,zip_derived_cl710]) ).
thf(zip_derived_cl3546,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn )
| ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1589]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3549,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ X0 )
| ( X0 != xk ) ),
inference(demod,[status(thm)],[zip_derived_cl3546,zip_derived_cl71,zip_derived_cl72]) ).
thf(m__2613,axiom,
( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
= ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ) ).
thf(zip_derived_cl100,plain,
( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
= ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ),
inference(cnf,[status(esa)],[m__2613]) ).
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_cl967,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl10734,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X1 )
| ( doDivides0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl967,zip_derived_cl5]) ).
thf(zip_derived_cl10810,plain,
( ( doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xk @ xr ) )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl100,zip_derived_cl10734]) ).
thf(m__,conjecture,
doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl101,plain,
~ ( doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl70_002,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl10896,plain,
~ ( aNaturalNumber0 @ ( sdtsldt0 @ xk @ xr ) ),
inference(demod,[status(thm)],[zip_derived_cl10810,zip_derived_cl101,zip_derived_cl70]) ).
thf(zip_derived_cl52_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1587,plain,
! [X0: $i,X1: $i] :
( ~ ( doDivides0 @ X1 @ X0 )
| ( aNaturalNumber0 @ ( sdtsldt0 @ X0 @ X1 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1 = sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl40456,plain,
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xk )
| ~ ( doDivides0 @ xr @ xk ) ),
inference('sup+',[status(thm)],[zip_derived_cl10896,zip_derived_cl1587]) ).
thf(m__2342,axiom,
( ( isPrime0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl89,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl88,plain,
doDivides0 @ xr @ xk,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl40658,plain,
( ( xr = sz00 )
| ~ ( aNaturalNumber0 @ xk ) ),
inference(demod,[status(thm)],[zip_derived_cl40456,zip_derived_cl89,zip_derived_cl88]) ).
thf(zip_derived_cl87,plain,
isPrime0 @ xr,
inference(cnf,[status(esa)],[m__2342]) ).
thf(zip_derived_cl66_004,plain,
! [X0: $i] :
( ~ ( isPrime0 @ X0 )
| ( X0 != sz00 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefPrime]) ).
thf(zip_derived_cl705,plain,
( ~ ( aNaturalNumber0 @ xr )
| ( xr != sz00 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl87,zip_derived_cl66]) ).
thf(zip_derived_cl713,plain,
( ~ ( aNaturalNumber0 @ sz00 )
| ( xr != sz00 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl705]) ).
thf(zip_derived_cl1_005,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl714,plain,
xr != sz00,
inference(demod,[status(thm)],[zip_derived_cl713,zip_derived_cl1]) ).
thf(zip_derived_cl40659,plain,
~ ( aNaturalNumber0 @ xk ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl40658,zip_derived_cl714]) ).
thf(zip_derived_cl40956,plain,
xk != xk,
inference('sup-',[status(thm)],[zip_derived_cl3549,zip_derived_cl40659]) ).
thf(zip_derived_cl40957,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl40956]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM514+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6YXPTqLTlH true
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 13:22:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 32.56/5.29 % Solved by fo/fo3_bce.sh.
% 32.56/5.29 % BCE start: 102
% 32.56/5.29 % BCE eliminated: 1
% 32.56/5.29 % PE start: 101
% 32.56/5.29 logic: eq
% 32.56/5.29 % PE eliminated: -8
% 32.56/5.29 % done 2702 iterations in 4.518s
% 32.56/5.29 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 32.56/5.29 % SZS output start Refutation
% See solution above
% 32.56/5.29
% 32.56/5.29
% 32.56/5.29 % Terminating...
% 32.56/5.37 % Runner terminated.
% 32.60/5.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------