%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV050+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yBC1gZUxCA true
% Computer : n027.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 04:59:58 PM UTC 2025
% Result : Theorem 0.58s 0.80s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 45 unt; 0 typ; 0 def)
% Number of atoms : 61 ( 60 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 508 ( 7 ~; 4 |; 6 &; 489 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 19 con; 0-3 aty)
% Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(rho_type,type,
rho: $i ).
thf(n3_type,type,
n3: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(tptp_minus_1_type,type,
tptp_minus_1: $i ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $i ).
thf(muold_type,type,
muold: $i ).
thf(n1_type,type,
n1: $i ).
thf(rhoold_type,type,
rhoold: $i ).
thf(divide_type,type,
divide: $i > $i > $i ).
thf(sigmaold_type,type,
sigmaold: $i ).
thf(n5_type,type,
n5: $i ).
thf(n0_type,type,
n0: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(pv86_type,type,
pv86: $i ).
thf(pv87_type,type,
pv87: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(pv88_type,type,
pv88: $i ).
thf(mu_type,type,
mu: $i ).
thf(sigma_type,type,
sigma: $i ).
thf(pv89_type,type,
pv89: $i ).
thf(pv91_type,type,
pv91: $i ).
thf(abs_type,type,
abs: $i > $i ).
thf(n4_type,type,
n4: $i ).
thf(cl5_nebula_norm_0022,conjecture,
( ( ( pv86
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
& ( pv88
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) )
=> ( ( n0
= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ sigma @ pv91 ) @ ( a_select2 @ sigmaold @ pv91 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ sigma @ pv91 ) ) @ ( abs @ ( a_select2 @ sigmaold @ pv91 ) ) ) ) ) )
& ( pv86
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
& ( pv88
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( pv86
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
& ( pv88
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) )
=> ( ( n0
= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ sigma @ pv91 ) @ ( a_select2 @ sigmaold @ pv91 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ sigma @ pv91 ) ) @ ( abs @ ( a_select2 @ sigmaold @ pv91 ) ) ) ) ) )
& ( pv86
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
& ( pv88
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0022]) ).
thf(zip_derived_cl72,plain,
( ( n0
!= ( sum @ n0 @ ( minus @ n0 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ sigma @ pv91 ) @ ( a_select2 @ sigmaold @ pv91 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ sigma @ pv91 ) ) @ ( abs @ ( a_select2 @ sigmaold @ pv91 ) ) ) ) ) )
| ( pv86
!= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) )
| ( pv88
!= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(pred_minus_1,axiom,
! [X: $i] :
( ( minus @ X @ n1 )
= ( pred @ X ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(succ_tptp_minus_1,axiom,
( ( succ @ tptp_minus_1 )
= n0 ) ).
thf(zip_derived_cl15,plain,
( ( succ @ tptp_minus_1 )
= n0 ),
inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).
thf(pred_succ,axiom,
! [X: $i] :
( ( pred @ ( succ @ X ) )
= X ) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl291,plain,
( ( pred @ n0 )
= tptp_minus_1 ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl27]) ).
thf(sum_plus_base,axiom,
! [Body: $i] :
( ( sum @ n0 @ tptp_minus_1 @ Body )
= n0 ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( sum @ n0 @ tptp_minus_1 @ X0 )
= n0 ),
inference(cnf,[status(esa)],[sum_plus_base]) ).
thf(zip_derived_cl26_001,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(successor_5,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ) ).
thf(zip_derived_cl66,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ),
inference(cnf,[status(esa)],[successor_5]) ).
thf(successor_1,axiom,
( ( succ @ n0 )
= n1 ) ).
thf(zip_derived_cl67,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(successor_2,axiom,
( ( succ @ ( succ @ n0 ) )
= n2 ) ).
thf(zip_derived_cl68,plain,
( ( succ @ ( succ @ n0 ) )
= n2 ),
inference(cnf,[status(esa)],[successor_2]) ).
thf(zip_derived_cl67_002,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl287,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).
thf(successor_3,axiom,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ) ).
thf(zip_derived_cl69,plain,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ),
inference(cnf,[status(esa)],[successor_3]) ).
thf(zip_derived_cl67_003,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl287_004,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).
thf(zip_derived_cl313,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl67,zip_derived_cl287]) ).
thf(successor_4,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ) ).
thf(zip_derived_cl65,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ),
inference(cnf,[status(esa)],[successor_4]) ).
thf(zip_derived_cl67_005,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl287_006,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).
thf(zip_derived_cl313_007,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl67,zip_derived_cl287]) ).
thf(zip_derived_cl478,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl67,zip_derived_cl287,zip_derived_cl313]) ).
thf(zip_derived_cl519,plain,
( ( succ @ n4 )
= n5 ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl67,zip_derived_cl287,zip_derived_cl313,zip_derived_cl478]) ).
thf(zip_derived_cl27_008,plain,
! [X0: $i] :
( ( pred @ ( succ @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[pred_succ]) ).
thf(zip_derived_cl521,plain,
( ( pred @ n5 )
= n4 ),
inference('sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl70,plain,
( pv86
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_009,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(zip_derived_cl274,plain,
( pv86
= ( sum @ n0 @ ( pred @ n5 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl26]) ).
thf(zip_derived_cl521_010,plain,
( ( pred @ n5 )
= n4 ),
inference('sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl532,plain,
( pv86
= ( sum @ n0 @ n4 @ ( divide @ ( abs @ ( minus @ ( a_select2 @ mu @ pv87 ) @ ( a_select2 @ muold @ pv87 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ mu @ pv87 ) ) @ ( abs @ ( a_select2 @ muold @ pv87 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl521]) ).
thf(zip_derived_cl26_011,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(zip_derived_cl521_012,plain,
( ( pred @ n5 )
= n4 ),
inference('sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl71,plain,
( pv88
= ( sum @ n0 @ ( minus @ n5 @ n1 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_013,plain,
! [X0: $i] :
( ( minus @ X0 @ n1 )
= ( pred @ X0 ) ),
inference(cnf,[status(esa)],[pred_minus_1]) ).
thf(zip_derived_cl275,plain,
( pv88
= ( sum @ n0 @ ( pred @ n5 ) @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl26]) ).
thf(zip_derived_cl521_014,plain,
( ( pred @ n5 )
= n4 ),
inference('sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl27]) ).
thf(zip_derived_cl533,plain,
( pv88
= ( sum @ n0 @ n4 @ ( divide @ ( abs @ ( minus @ ( a_select2 @ rho @ pv89 ) @ ( a_select2 @ rhoold @ pv89 ) ) ) @ ( plus @ ( abs @ ( a_select2 @ rho @ pv89 ) ) @ ( abs @ ( a_select2 @ rhoold @ pv89 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl275,zip_derived_cl521]) ).
thf(zip_derived_cl561,plain,
( ( n0 != n0 )
| ( pv86 != pv86 )
| ( pv88 != pv88 ) ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl26,zip_derived_cl291,zip_derived_cl13,zip_derived_cl26,zip_derived_cl521,zip_derived_cl532,zip_derived_cl26,zip_derived_cl521,zip_derived_cl533]) ).
thf(zip_derived_cl562,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV050+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.14/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yBC1gZUxCA true
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 12:39:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % Solved by fo/fo3_bce.sh.
% 0.58/0.80 % BCE start: 73
% 0.58/0.80 % BCE eliminated: 0
% 0.58/0.80 % PE start: 73
% 0.58/0.80 logic: eq
% 0.58/0.80 % PE eliminated: 0
% 0.58/0.80 % done 104 iterations in 0.067s
% 0.58/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.80 % SZS output start Refutation
% See solution above
% 0.58/0.80
% 0.58/0.80
% 0.58/0.80 % Terminating...
% 1.62/0.95 % Runner terminated.
% 1.62/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------