%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM431+3 : 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.y3qQ7gCIF2 true
% Computer : n003.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 04:46:57 PM UTC 2025
% Result : Theorem 0.49s 0.94s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 110 ( 30 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 417 ( 54 ~; 41 |; 14 &; 302 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 33 ( 0 ^; 33 !; 0 ?; 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(xm_type,type,
xm: $i ).
thf(xq_type,type,
xq: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xc_type,type,
xc: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(xb_type,type,
xb: $i ).
thf(mIntNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( aInteger0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(mAddNeg,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz00 )
& ( sz00
= ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( sz00
= ( sdtpldt0 @ ( smndt0 @ X0 ) @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddNeg]) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl305,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ ( smndt0 @ X1 ) )
| ~ ( aInteger0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).
thf(zip_derived_cl313,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ ( smndt0 @ X1 ) )
| ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl305]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i] :
( ( aInteger0 @ ( smndt0 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mIntNeg]) ).
thf(zip_derived_cl1318,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ ( smndt0 @ X1 ) @ ( sdtpldt0 @ X1 @ X0 ) )
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl313,zip_derived_cl3]) ).
thf(zip_derived_cl6_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(mDistrib,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( aInteger0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X2 )
| ( ( sdtasdt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ X1 @ X0 ) @ ( sdtasdt0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mDistrib]) ).
thf(m__,conjecture,
( ( sdtasdt0 @ xq @ ( sdtpldt0 @ xn @ xm ) )
= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sdtasdt0 @ xq @ ( sdtpldt0 @ xn @ xm ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl49,plain,
( ( sdtasdt0 @ xq @ ( sdtpldt0 @ xn @ xm ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl576,plain,
( ( ( sdtpldt0 @ ( sdtasdt0 @ xq @ xn ) @ ( sdtasdt0 @ xq @ xm ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ xm )
| ~ ( aInteger0 @ xq )
| ~ ( aInteger0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl49]) ).
thf(m__876,axiom,
( ( ( sdtasdt0 @ xq @ xn )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) )
& ( aInteger0 @ xn ) ) ).
thf(zip_derived_cl45,plain,
( ( sdtasdt0 @ xq @ xn )
= ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) ),
inference(cnf,[status(esa)],[m__876]) ).
thf(m__899,axiom,
( ( ( sdtasdt0 @ xq @ xm )
= ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) )
& ( aInteger0 @ xm ) ) ).
thf(zip_derived_cl47,plain,
( ( sdtasdt0 @ xq @ xm )
= ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) ),
inference(cnf,[status(esa)],[m__899]) ).
thf(zip_derived_cl48,plain,
aInteger0 @ xm,
inference(cnf,[status(esa)],[m__899]) ).
thf(m__818,axiom,
( ( aInteger0 @ xc )
& ( xq != sz00 )
& ( aInteger0 @ xq )
& ( aInteger0 @ xb )
& ( aInteger0 @ xa ) ) ).
thf(zip_derived_cl34,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl46,plain,
aInteger0 @ xn,
inference(cnf,[status(esa)],[m__876]) ).
thf(zip_derived_cl606,plain,
( ( sdtpldt0 @ ( sdtpldt0 @ xa @ ( smndt0 @ xb ) ) @ ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) ),
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl45,zip_derived_cl47,zip_derived_cl48,zip_derived_cl34,zip_derived_cl46]) ).
thf(zip_derived_cl607,plain,
( ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xb ) @ ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ xa )
| ~ ( aInteger0 @ ( smndt0 @ xb ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl606]) ).
thf(zip_derived_cl47_004,plain,
( ( sdtasdt0 @ xq @ xm )
= ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) ),
inference(cnf,[status(esa)],[m__899]) ).
thf(mIntMult,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntMult]) ).
thf(zip_derived_cl273,plain,
( ( aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ xm )
| ~ ( aInteger0 @ xq ) ),
inference('sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl5]) ).
thf(zip_derived_cl48_005,plain,
aInteger0 @ xm,
inference(cnf,[status(esa)],[m__899]) ).
thf(zip_derived_cl34_006,plain,
aInteger0 @ xq,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl285,plain,
aInteger0 @ ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl48,zip_derived_cl34]) ).
thf(zip_derived_cl36,plain,
aInteger0 @ xa,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl608,plain,
( ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ ( smndt0 @ xb ) @ ( sdtpldt0 @ xb @ ( smndt0 @ xc ) ) ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ ( smndt0 @ xb ) ) ),
inference(demod,[status(thm)],[zip_derived_cl607,zip_derived_cl285,zip_derived_cl36]) ).
thf(zip_derived_cl1328,plain,
( ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ sz00 @ ( smndt0 @ xc ) ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ ( smndt0 @ xc ) )
| ~ ( aInteger0 @ xb )
| ~ ( aInteger0 @ ( smndt0 @ xb ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1318,zip_derived_cl608]) ).
thf(zip_derived_cl35,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl1364,plain,
( ( ( sdtpldt0 @ xa @ ( sdtpldt0 @ sz00 @ ( smndt0 @ xc ) ) )
!= ( sdtpldt0 @ xa @ ( smndt0 @ xc ) ) )
| ~ ( aInteger0 @ ( smndt0 @ xc ) )
| ~ ( aInteger0 @ ( smndt0 @ xb ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1328,zip_derived_cl35]) ).
thf(mAddZero,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( X0
= ( sdtpldt0 @ sz00 @ X0 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl1365,plain,
( ~ ( aInteger0 @ ( smndt0 @ xb ) )
| ~ ( aInteger0 @ ( smndt0 @ xc ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1364,zip_derived_cl9]) ).
thf(zip_derived_cl1367,plain,
( ~ ( aInteger0 @ xc )
| ~ ( aInteger0 @ ( smndt0 @ xb ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1365]) ).
thf(zip_derived_cl32,plain,
aInteger0 @ xc,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl1368,plain,
~ ( aInteger0 @ ( smndt0 @ xb ) ),
inference(demod,[status(thm)],[zip_derived_cl1367,zip_derived_cl32]) ).
thf(zip_derived_cl1371,plain,
~ ( aInteger0 @ xb ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1368]) ).
thf(zip_derived_cl35_007,plain,
aInteger0 @ xb,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl1372,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1371,zip_derived_cl35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM431+3 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y3qQ7gCIF2 true
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 16:36:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.44/0.61 % Total configuration time : 435
% 0.44/0.61 % Estimated wc time : 1092
% 0.44/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.94 % Solved by fo/fo3_bce.sh.
% 0.49/0.94 % BCE start: 50
% 0.49/0.94 % BCE eliminated: 0
% 0.49/0.94 % PE start: 50
% 0.49/0.94 logic: eq
% 0.49/0.94 % PE eliminated: -7
% 0.49/0.94 % done 151 iterations in 0.174s
% 0.49/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.94 % SZS output start Refutation
% See solution above
% 0.49/0.94
% 0.49/0.94
% 0.49/0.94 % Terminating...
% 1.46/1.08 % Runner terminated.
% 1.46/1.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------