%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM443+4 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HZjE9W1DiA true
% Computer : n023.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 04:47:00 PM UTC 2025
% Result : Theorem 0.58s 0.92s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 149 ( 21 equ; 0 cnn)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 520 ( 39 ~; 44 |; 55 &; 366 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 33 ( 0 ^; 23 !; 10 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(xa_type,type,
xa: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(szAzrzSzezqlpdtcmdtrp0_type,type,
szAzrzSzezqlpdtcmdtrp0: $i > $i > $i ).
thf(stldt0_type,type,
stldt0: $i > $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(xc_type,type,
xc: $i ).
thf(xq_type,type,
xq: $i ).
thf(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(m__,conjecture,
( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
& ! [W0: $i] :
( ( ( ( aInteger0 @ W0 )
& ( ? [W1: $i] :
( ( ( sdtasdt0 @ xq @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( aInteger0 @ W1 ) )
| ( aDivisorOf0 @ xq @ ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ xa @ xq ) ) )
=> ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) )
& ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( ( sdtasdt0 @ xq @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( aInteger0 @ W1 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W0 @ xa @ xq ) ) ) )
& ~ ( aElementOf0 @ xb @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
& ( aElementOf0 @ xb @ ( stldt0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xq @ W0 )
= ( sdtpldt0 @ xc @ ( smndt0 @ xb ) ) )
& ( aInteger0 @ W0 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xc @ ( smndt0 @ xb ) ) )
& ( sdteqdtlpzmzozddtrp0 @ xc @ xb @ xq ) )
=> ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
& ! [W0: $i] :
( ( ( ( aInteger0 @ W0 )
& ( ? [W1: $i] :
( ( ( sdtasdt0 @ xq @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( aInteger0 @ W1 ) )
| ( aDivisorOf0 @ xq @ ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ xa @ xq ) ) )
=> ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) )
& ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( ( sdtasdt0 @ xq @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( aInteger0 @ W1 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W0 @ xa @ xq ) ) ) ) )
=> ( ~ ( aElementOf0 @ xc @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
| ( aElementOf0 @ xc @ ( stldt0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
& ! [W0: $i] :
( ( ( ( aInteger0 @ W0 )
& ( ? [W1: $i] :
( ( ( sdtasdt0 @ xq @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( aInteger0 @ W1 ) )
| ( aDivisorOf0 @ xq @ ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ xa @ xq ) ) )
=> ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) )
& ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( ( sdtasdt0 @ xq @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( aInteger0 @ W1 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W0 @ xa @ xq ) ) ) )
& ~ ( aElementOf0 @ xb @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
& ( aElementOf0 @ xb @ ( stldt0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xq @ W0 )
= ( sdtpldt0 @ xc @ ( smndt0 @ xb ) ) )
& ( aInteger0 @ W0 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ xc @ ( smndt0 @ xb ) ) )
& ( sdteqdtlpzmzozddtrp0 @ xc @ xb @ xq ) )
=> ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
& ! [W0: $i] :
( ( ( ( aInteger0 @ W0 )
& ( ? [W1: $i] :
( ( ( sdtasdt0 @ xq @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( aInteger0 @ W1 ) )
| ( aDivisorOf0 @ xq @ ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W0 @ xa @ xq ) ) )
=> ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) )
& ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( ( sdtasdt0 @ xq @ W1 )
= ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( aInteger0 @ W1 ) )
& ( aDivisorOf0 @ xq @ ( sdtpldt0 @ W0 @ ( smndt0 @ xa ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W0 @ xa @ xq ) ) ) ) )
=> ( ~ ( aElementOf0 @ xc @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
| ( aElementOf0 @ xc @ ( stldt0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl122,plain,
~ ( aElementOf0 @ xb @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
| ~ ( sdteqdtlpzmzozddtrp0 @ X0 @ xa @ xq )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121,plain,
! [X2: $i] :
( ( sdteqdtlpzmzozddtrp0 @ X2 @ xa @ xq )
| ~ ( aElementOf0 @ X2 @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127,plain,
sdteqdtlpzmzozddtrp0 @ xc @ xb @ xq,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mEquModSym,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
=> ( sdteqdtlpzmzozddtrp0 @ W1 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( X2 = sz00 )
| ( sdteqdtlpzmzozddtrp0 @ X0 @ X1 @ X2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mEquModSym]) ).
thf(zip_derived_cl1696,plain,
( ( sdteqdtlpzmzozddtrp0 @ xb @ xc @ xq )
| ( xq = sz00 )
| ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ xc )
| ~ ( aInteger0 @ xb ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl31]) ).
thf(m__1962,axiom,
( ( xq != sz00 )
& ( aInteger0 @ xq )
& ( aInteger0 @ xa ) ) ).
thf(zip_derived_cl109,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__1962]) ).
thf(m__2010,axiom,
( ( aInteger0 @ xc )
& ( aInteger0 @ xb ) ) ).
thf(zip_derived_cl111,plain,
aInteger0 @ xc,
inference(cnf,[status(esa)],[m__2010]) ).
thf(zip_derived_cl112,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__2010]) ).
thf(zip_derived_cl1703,plain,
( ( sdteqdtlpzmzozddtrp0 @ xb @ xc @ xq )
| ( xq = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1696,zip_derived_cl109,zip_derived_cl111,zip_derived_cl112]) ).
thf(zip_derived_cl108,plain,
xq != sz00,
inference(cnf,[status(esa)],[m__1962]) ).
thf(zip_derived_cl1704,plain,
sdteqdtlpzmzozddtrp0 @ xb @ xc @ xq,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1703,zip_derived_cl108]) ).
thf(mEquModTrn,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 )
& ( W2 != sz00 )
& ( aInteger0 @ W3 ) )
=> ( ( ( sdteqdtlpzmzozddtrp0 @ W0 @ W1 @ W2 )
& ( sdteqdtlpzmzozddtrp0 @ W1 @ W3 @ W2 ) )
=> ( sdteqdtlpzmzozddtrp0 @ W0 @ W3 @ W2 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdteqdtlpzmzozddtrp0 @ X0 @ X1 @ X2 )
| ( X2 = sz00 )
| ~ ( aInteger0 @ X2 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X3 )
| ( sdteqdtlpzmzozddtrp0 @ X0 @ X3 @ X2 )
| ~ ( sdteqdtlpzmzozddtrp0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[mEquModTrn]) ).
thf(zip_derived_cl1737,plain,
! [X0: $i] :
( ~ ( sdteqdtlpzmzozddtrp0 @ xc @ X0 @ xq )
| ( sdteqdtlpzmzozddtrp0 @ xb @ X0 @ xq )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ xc )
| ~ ( aInteger0 @ xq )
| ( xq = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1704,zip_derived_cl32]) ).
thf(zip_derived_cl112_001,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__2010]) ).
thf(zip_derived_cl111_002,plain,
aInteger0 @ xc,
inference(cnf,[status(esa)],[m__2010]) ).
thf(zip_derived_cl109_003,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__1962]) ).
thf(zip_derived_cl1747,plain,
! [X0: $i] :
( ~ ( sdteqdtlpzmzozddtrp0 @ xc @ X0 @ xq )
| ( sdteqdtlpzmzozddtrp0 @ xb @ X0 @ xq )
| ~ ( aInteger0 @ X0 )
| ( xq = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1737,zip_derived_cl112,zip_derived_cl111,zip_derived_cl109]) ).
thf(zip_derived_cl108_004,plain,
xq != sz00,
inference(cnf,[status(esa)],[m__1962]) ).
thf(zip_derived_cl1748,plain,
! [X0: $i] :
( ~ ( sdteqdtlpzmzozddtrp0 @ xc @ X0 @ xq )
| ( sdteqdtlpzmzozddtrp0 @ xb @ X0 @ xq )
| ~ ( aInteger0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1747,zip_derived_cl108]) ).
thf(zip_derived_cl1757,plain,
( ~ ( aElementOf0 @ xc @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) )
| ~ ( aInteger0 @ xa )
| ( sdteqdtlpzmzozddtrp0 @ xb @ xa @ xq ) ),
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl1748]) ).
thf(zip_derived_cl129,plain,
aElementOf0 @ xc @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__1962]) ).
thf(zip_derived_cl1764,plain,
sdteqdtlpzmzozddtrp0 @ xb @ xa @ xq,
inference(demod,[status(thm)],[zip_derived_cl1757,zip_derived_cl129,zip_derived_cl110]) ).
thf(zip_derived_cl1778,plain,
( ~ ( aInteger0 @ xb )
| ( aElementOf0 @ xb @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl1764]) ).
thf(zip_derived_cl112_005,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__2010]) ).
thf(zip_derived_cl1781,plain,
aElementOf0 @ xb @ ( szAzrzSzezqlpdtcmdtrp0 @ xa @ xq ),
inference(demod,[status(thm)],[zip_derived_cl1778,zip_derived_cl112]) ).
thf(zip_derived_cl1991,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl1781]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM443+4 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HZjE9W1DiA true
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:18:23 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.57/0.66 % Total configuration time : 435
% 0.57/0.66 % Estimated wc time : 1092
% 0.57/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.92 % Solved by fo/fo3_bce.sh.
% 0.58/0.92 % BCE start: 139
% 0.58/0.92 % BCE eliminated: 3
% 0.58/0.92 % PE start: 136
% 0.58/0.92 logic: eq
% 0.58/0.92 % PE eliminated: -19
% 0.58/0.92 % done 209 iterations in 0.157s
% 0.58/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.92 % SZS output start Refutation
% See solution above
% 0.58/0.92
% 0.58/0.92
% 0.58/0.92 % Terminating...
% 0.59/0.98 % Runner terminated.
% 0.59/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------