%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM490+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FMo1xjtM1v 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 Oct 2 04:47:10 PM UTC 2025
% Result : Theorem 26.63s 7.10s
% Output : Refutation 26.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 61 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 145 ( 30 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 480 ( 77 ~; 67 |; 9 &; 319 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 0 ^; 40 !; 1 ?; 41 :)
% 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(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_cl716,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xr @ xm ) ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl81]) ).
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_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl750,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xm @ xp ) @ ( sdtasdt0 @ xr @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl70,zip_derived_cl71]) ).
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_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_cl1348,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_cl1354,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xn @ xm )
!= X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) )
| ( ( sdtasdt0 @ xr @ xm )
= ( sdtmndt0 @ X0 @ ( sdtasdt0 @ xm @ xp ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl750,zip_derived_cl1348]) ).
thf(zip_derived_cl10_002,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_cl717,plain,
( ( ( sdtasdt0 @ xr @ xm )
!= ( sdtmndt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xm @ xp ) ) )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl82]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl751,plain,
( ( sdtasdt0 @ xr @ xm )
!= ( sdtmndt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl717,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl33727,plain,
( ( ( sdtasdt0 @ xr @ xm )
!= ( sdtasdt0 @ xr @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1354,zip_derived_cl751]) ).
thf(zip_derived_cl5_005,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl81_006,plain,
( ( sdtasdt0 @ xn @ xm )
= ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xr @ xm ) ) ),
inference(cnf,[status(esa)],[m__1951]) ).
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_cl660,plain,
( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl4]) ).
thf(zip_derived_cl5_007,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(zip_derived_cl670,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xr ) ),
inference('sup+',[status(thm)],[zip_derived_cl660,zip_derived_cl5]) ).
thf(zip_derived_cl71_008,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl674,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
| ~ ( aNaturalNumber0 @ xr ) ),
inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl71]) ).
thf(zip_derived_cl2166,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xr )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl674]) ).
thf(zip_derived_cl71_009,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl70_010,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl2170,plain,
( ~ ( aNaturalNumber0 @ xr )
| ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2166,zip_derived_cl71,zip_derived_cl70]) ).
thf(m__1883,axiom,
( xr
= ( sdtmndt0 @ xn @ xp ) ) ).
thf(zip_derived_cl77,plain,
( xr
= ( sdtmndt0 @ xn @ xp ) ),
inference(cnf,[status(esa)],[m__1883]) ).
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_cl798,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ X1 @ X0 )
| ( aNaturalNumber0 @ ( sdtmndt0 @ X0 @ X1 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl3687,plain,
( ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( sdtlseqdt0 @ xp @ xn ) ),
inference('sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl798]) ).
thf(zip_derived_cl70_011,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_cl3689,plain,
aNaturalNumber0 @ xr,
inference(demod,[status(thm)],[zip_derived_cl3687,zip_derived_cl70,zip_derived_cl72,zip_derived_cl76]) ).
thf(zip_derived_cl3701,plain,
aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ),
inference(demod,[status(thm)],[zip_derived_cl2170,zip_derived_cl3689]) ).
thf(zip_derived_cl33749,plain,
( ( ( sdtasdt0 @ xr @ xm )
!= ( sdtasdt0 @ xr @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xn @ xm ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33727,zip_derived_cl3701]) ).
thf(zip_derived_cl33750,plain,
( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xr @ xm ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl33749]) ).
thf(zip_derived_cl33755,plain,
( ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl33750]) ).
thf(zip_derived_cl71_012,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl3689_013,plain,
aNaturalNumber0 @ xr,
inference(demod,[status(thm)],[zip_derived_cl3687,zip_derived_cl70,zip_derived_cl72,zip_derived_cl76]) ).
thf(zip_derived_cl33762,plain,
~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl33755,zip_derived_cl71,zip_derived_cl3689]) ).
thf(zip_derived_cl33776,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl33762]) ).
thf(zip_derived_cl70_014,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_015,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl33785,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl33776,zip_derived_cl70,zip_derived_cl71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.19 % Problem : NUM490+1 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.19 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FMo1xjtM1v true
% 0.11/0.40 % Computer : n014.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8042.1875MB
% 0.11/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Wed Oct 1 16:46:23 EDT 2025
% 0.11/0.40 % CPUTime :
% 0.11/0.40 % Running portfolio for 300 s
% 0.11/0.40 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.41 % Number of cores: 8
% 0.11/0.41 % Python version: Python 3.6.8
% 0.11/0.41 % Running in FO mode
% 0.29/0.72 % Total configuration time : 435
% 0.29/0.72 % Estimated wc time : 1092
% 0.29/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.30/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.30/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.30/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.30/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.30/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.30/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.30/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.63/7.10 % Solved by fo/fo3_bce.sh.
% 26.63/7.10 % BCE start: 83
% 26.63/7.10 % BCE eliminated: 1
% 26.63/7.10 % PE start: 82
% 26.63/7.10 logic: eq
% 26.63/7.10 % PE eliminated: -5
% 26.63/7.10 % done 2351 iterations in 6.110s
% 26.63/7.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.63/7.10 % SZS output start Refutation
% See solution above
% 26.63/7.11
% 26.63/7.11
% 26.63/7.11 % Terminating...
% 27.39/7.33 % Runner terminated.
% 27.39/7.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------