TSTP Solution File: NUM490+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM490+1 : 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.kzGpRG1e6h 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 12:41:50 EDT 2023
% Result : Theorem 38.96s 6.23s
% Output : Refutation 38.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 58 ( 22 unt; 9 typ; 0 def)
% Number of atoms : 115 ( 29 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 368 ( 59 ~; 49 |; 9 &; 243 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 39 !; 1 ?; 40 :)
% 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(xr_type,type,
xr: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
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__1883,axiom,
( xr
= ( sdtmndt0 @ xn @ xp ) ) ).
thf(zip_derived_cl77,plain,
( xr
= ( sdtmndt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__1883]) ).
thf(mDefDiff,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> ! [W2: $i] :
( ( W2
= ( sdtmndt0 @ W1 @ W0 ) )
<=> ( ( aNaturalNumber0 @ W2 )
& ( ( sdtpldt0 @ W0 @ W2 )
= W1 ) ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtmndt0 @ X1 @ X0 ) )
| ( aNaturalNumber0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
thf(zip_derived_cl1231,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ( X0 != xr )
| ( aNaturalNumber0 @ X0 )
| ~ ( sdtlseqdt0 @ xp @ xn ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl30]) ).
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_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1870,axiom,
sdtlseqdt0 @ xp @ xn ).
thf(zip_derived_cl76,plain,
sdtlseqdt0 @ xp @ xn,
inference(cnf,[status(esa)],[m__1870]) ).
thf(zip_derived_cl1233,plain,
! [X0: $i] :
( ( X0 != xr )
| ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1231,zip_derived_cl70,zip_derived_cl72,zip_derived_cl76]) ).
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(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(m__1951,axiom,
( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xr @ xm ) ) ) ).
thf(zip_derived_cl81,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xr @ xm ) ) ),
inference(cnf,[status(esa)],[m__1951]) ).
thf(zip_derived_cl728,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xr @ xm ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl81]) ).
thf(zip_derived_cl70_002,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl762,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xr @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl728,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 )
| ( X2
= ( sdtmndt0 @ X1 @ X0 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
thf(mDefLE,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
<=> ? [W2: $i] :
( ( ( sdtpldt0 @ W0 @ W2 )
= W1 )
& ( aNaturalNumber0 @ W2 ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 ) ),
inference(cnf,[status(esa)],[mDefLE]) ).
thf(zip_derived_cl1178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sdtmndt0 @ X1 @ X0 ) )
| ( ( sdtpldt0 @ X0 @ X2 )
!= X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl28,zip_derived_cl27]) ).
thf(zip_derived_cl1190,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( X1
= ( sdtmndt0 @ ( sdtpldt0 @ X0 @ X1 ) @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1178]) ).
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_cl21903,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sdtmndt0 @ ( sdtpldt0 @ X0 @ X1 ) @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1190,zip_derived_cl4]) ).
thf(zip_derived_cl21939,plain,
( ( ( sdtasdt0 @ xr @ xm )
= ( sdtmndt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xm @ xp ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl762,zip_derived_cl21903]) ).
thf(zip_derived_cl10_003,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(m__,conjecture,
( ( sdtasdt0 @ xr @ xm )
= ( sdtmndt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sdtasdt0 @ xr @ xm )
!= ( sdtmndt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl82,plain,
( ( sdtasdt0 @ xr @ xm )
!= ( sdtmndt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl729,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtasdt0 @ xr @ xm )
!= ( sdtmndt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl82]) ).
thf(zip_derived_cl70_004,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_005,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl763,plain,
( ( sdtasdt0 @ xr @ xm )
!= ( sdtmndt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl729,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl21973,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21939,zip_derived_cl763]) ).
thf(zip_derived_cl21990,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl21973]) ).
thf(zip_derived_cl71_006,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl21993,plain,
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21990,zip_derived_cl71]) ).
thf(zip_derived_cl22021,plain,
( ( xr != xr )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1233,zip_derived_cl21993]) ).
thf(zip_derived_cl22022,plain,
~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ),
inference(simplify,[status(thm)],[zip_derived_cl22021]) ).
thf(zip_derived_cl22024,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl22022]) ).
thf(zip_derived_cl70_007,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_008,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl22026,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl22024,zip_derived_cl70,zip_derived_cl71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.17/0.17 % Problem : NUM490+1 : TPTP v8.1.2. Released v4.0.0.
% 0.17/0.18 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kzGpRG1e6h true
% 0.17/0.40 % Computer : n017.cluster.edu
% 0.17/0.40 % Model : x86_64 x86_64
% 0.17/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.40 % Memory : 8042.1875MB
% 0.17/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.40 % CPULimit : 300
% 0.17/0.40 % WCLimit : 300
% 0.17/0.40 % DateTime : Fri Aug 25 08:31:40 EDT 2023
% 0.17/0.40 % CPUTime :
% 0.17/0.40 % Running portfolio for 300 s
% 0.17/0.40 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.40 % Number of cores: 8
% 0.17/0.40 % Python version: Python 3.6.8
% 0.17/0.40 % Running in FO mode
% 0.57/0.72 % Total configuration time : 435
% 0.57/0.72 % Estimated wc time : 1092
% 0.57/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 38.96/6.23 % Solved by fo/fo6_bce.sh.
% 38.96/6.23 % BCE start: 83
% 38.96/6.23 % BCE eliminated: 1
% 38.96/6.23 % PE start: 82
% 38.96/6.23 logic: eq
% 38.96/6.23 % PE eliminated: 1
% 38.96/6.23 % done 927 iterations in 5.397s
% 38.96/6.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 38.96/6.23 % SZS output start Refutation
% See solution above
% 38.96/6.23
% 38.96/6.23
% 38.96/6.23 % Terminating...
% 39.26/6.35 % Runner terminated.
% 39.26/6.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------