%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM474+2 : 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.biYYhoojfX true
% Computer : n016.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 04:47:07 PM UTC 2025
% Result : Theorem 6.39s 1.56s
% Output : Refutation 6.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 43 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 265 ( 26 ~; 23 |; 19 &; 193 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 17 !; 2 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $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(xq_type,type,
xq: $i ).
thf(xn_type,type,
xn: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(xl_type,type,
xl: $i ).
thf(m__1360,axiom,
( ( xp
= ( sdtsldt0 @ xm @ xl ) )
& ( xm
= ( sdtasdt0 @ xl @ xp ) )
& ( aNaturalNumber0 @ xp ) ) ).
thf(zip_derived_cl67,plain,
( xp
= ( sdtsldt0 @ xm @ xl ) ),
inference(cnf,[status(esa)],[m__1360]) ).
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_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X2
!= ( sdtsldt0 @ X1 @ X0 ) )
| ( X1
= ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( doDivides0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefQuot]) ).
thf(zip_derived_cl1385,plain,
! [X0: $i] :
( ( X0 != xp )
| ~ ( doDivides0 @ xl @ xm )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xl )
| ( xl = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl53]) ).
thf(m__1324_04,axiom,
( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xl @ xm )
& ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl62,plain,
doDivides0 @ xl @ xm,
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(m__1324,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xl ) ) ).
thf(zip_derived_cl58,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl59,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl1389,plain,
! [X0: $i] :
( ( X0 != xp )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1385,zip_derived_cl62,zip_derived_cl58,zip_derived_cl59]) ).
thf(m__1347,axiom,
xl != sz00 ).
thf(zip_derived_cl66,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl1390,plain,
! [X0: $i] :
( ( X0 != xp )
| ( xm
= ( sdtasdt0 @ xl @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1389,zip_derived_cl66]) ).
thf(m__1422,axiom,
( ( xr
= ( sdtmndt0 @ xq @ xp ) )
& ( ( sdtpldt0 @ xp @ xr )
= xq )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl77,plain,
( ( sdtpldt0 @ xp @ xr )
= xq ),
inference(cnf,[status(esa)],[m__1422]) ).
thf(mAMDistr,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAMDistr]) ).
thf(zip_derived_cl762,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ xq )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xp ) @ ( sdtasdt0 @ X0 @ xr ) ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl16]) ).
thf(zip_derived_cl78,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1422]) ).
thf(zip_derived_cl69,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl773,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ xq )
= ( sdtpldt0 @ ( sdtasdt0 @ X0 @ xp ) @ ( sdtasdt0 @ X0 @ xr ) ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl762,zip_derived_cl78,zip_derived_cl69]) ).
thf(zip_derived_cl9905,plain,
( ( ( sdtasdt0 @ xl @ xq )
= ( sdtpldt0 @ xm @ ( sdtasdt0 @ xl @ xr ) ) )
| ( xp != xp )
| ~ ( aNaturalNumber0 @ xl ) ),
inference('sup+',[status(thm)],[zip_derived_cl1390,zip_derived_cl773]) ).
thf(m__1379,axiom,
( ( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) )
& ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ xq ) )
& ( aNaturalNumber0 @ xq ) ) ).
thf(zip_derived_cl71,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ xq ) ),
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl59_001,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl9937,plain,
( ( ( sdtpldt0 @ xm @ xn )
= ( sdtpldt0 @ xm @ ( sdtasdt0 @ xl @ xr ) ) )
| ( xp != xp ) ),
inference(demod,[status(thm)],[zip_derived_cl9905,zip_derived_cl71,zip_derived_cl59]) ).
thf(zip_derived_cl9938,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtpldt0 @ xm @ ( sdtasdt0 @ xl @ xr ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9937]) ).
thf(m__,conjecture,
( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ ( sdtasdt0 @ xl @ xr ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ ( sdtasdt0 @ xl @ xr ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl79,plain,
( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ ( sdtasdt0 @ xl @ xr ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68,plain,
( xm
= ( sdtasdt0 @ xl @ xp ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl68_002,plain,
( xm
= ( sdtasdt0 @ xl @ xp ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl498,plain,
( ( sdtpldt0 @ xm @ ( sdtasdt0 @ xl @ xr ) )
!= ( sdtpldt0 @ xm @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl68,zip_derived_cl68]) ).
thf(zip_derived_cl9939,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl9938,zip_derived_cl498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16 % Problem : NUM474+2 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.biYYhoojfX true
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8042.1875MB
% 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Wed Oct 1 16:40:38 EDT 2025
% 0.13/0.39 % CPUTime :
% 0.13/0.39 % Running portfolio for 300 s
% 0.13/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Number of cores: 8
% 0.13/0.39 % Python version: Python 3.6.8
% 0.13/0.39 % Running in FO mode
% 0.34/0.68 % Total configuration time : 435
% 0.34/0.68 % Estimated wc time : 1092
% 0.34/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.34/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.34/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.34/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.34/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.34/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.34/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.34/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.39/1.56 % Solved by fo/fo3_bce.sh.
% 6.39/1.56 % BCE start: 80
% 6.39/1.56 % BCE eliminated: 2
% 6.39/1.56 % PE start: 78
% 6.39/1.56 logic: eq
% 6.39/1.56 % PE eliminated: 0
% 6.39/1.56 % done 1039 iterations in 0.772s
% 6.39/1.56 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.39/1.56 % SZS output start Refutation
% See solution above
% 6.39/1.56
% 6.39/1.56
% 6.39/1.56 % Terminating...
% 6.66/1.60 % Runner terminated.
% 6.66/1.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------