%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV158+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.njmc5KMWqJ true
% Computer : n017.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 05:00:17 PM UTC 2025
% Result : Theorem 0.49s 1.04s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 19 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 821 ( 3 ~; 0 |; 18 &; 790 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 18 con; 0-3 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(sk__27_type,type,
sk__27: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(tptp_pi_type,type,
tptp_pi: $i ).
thf(times_type,type,
times: $i > $i > $i ).
thf(sum_type,type,
sum: $i > $i > $i > $i ).
thf(x_type,type,
x: $i ).
thf(n1_type,type,
n1: $i ).
thf(tptp_minus_2_type,type,
tptp_minus_2: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(n135299_type,type,
n135299: $i ).
thf(divide_type,type,
divide: $i > $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(pv84_type,type,
pv84: $i ).
thf(q_type,type,
q: $i ).
thf(exp_type,type,
exp: $i > $i ).
thf(sqrt_type,type,
sqrt: $i > $i ).
thf(pv10_type,type,
pv10: $i ).
thf(sigma_type,type,
sigma: $i ).
thf(tptp_sum_index_type,type,
tptp_sum_index: $i ).
thf(pv47_type,type,
pv47: $i ).
thf(rho_type,type,
rho: $i ).
thf(n4_type,type,
n4: $i ).
thf(cl5_nebula_norm_0008,conjecture,
( ( ( pv84
= ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) )
& ( leq @ n0 @ pv10 )
& ( leq @ n0 @ pv47 )
& ( leq @ pv10 @ n135299 )
& ( leq @ pv47 @ n4 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( pred @ pv47 ) ) )
=> ( ( a_select3 @ q @ pv10 @ A )
= ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ A ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ A ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ A ) @ ( a_select2 @ sigma @ A ) ) ) ) @ ( a_select2 @ rho @ A ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ A ) ) ) @ ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) ) ) )
& ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ ( pred @ pv10 ) ) )
=> ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ B @ tptp_sum_index ) )
= n1 ) ) )
=> ! [C: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ C @ pv47 ) )
=> ( ( pv47 = C )
=> ( ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ pv47 ) @ ( a_select2 @ sigma @ pv47 ) ) ) ) @ ( a_select2 @ rho @ pv47 ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ pv47 ) ) ) @ pv84 )
= ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ C ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ C ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ C ) @ ( a_select2 @ sigma @ C ) ) ) ) @ ( a_select2 @ rho @ C ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ C ) ) ) @ ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( pv84
= ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) )
& ( leq @ n0 @ pv10 )
& ( leq @ n0 @ pv47 )
& ( leq @ pv10 @ n135299 )
& ( leq @ pv47 @ n4 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( pred @ pv47 ) ) )
=> ( ( a_select3 @ q @ pv10 @ A )
= ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ A ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ A ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ A ) @ ( a_select2 @ sigma @ A ) ) ) ) @ ( a_select2 @ rho @ A ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ A ) ) ) @ ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) ) ) )
& ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ ( pred @ pv10 ) ) )
=> ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ B @ tptp_sum_index ) )
= n1 ) ) )
=> ! [C: $i] :
( ( ( leq @ n0 @ C )
& ( leq @ C @ pv47 ) )
=> ( ( pv47 = C )
=> ( ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ pv47 ) @ ( a_select2 @ sigma @ pv47 ) ) ) ) @ ( a_select2 @ rho @ pv47 ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ pv47 ) ) ) @ pv84 )
= ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ C ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ C ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ C ) @ ( a_select2 @ sigma @ C ) ) ) ) @ ( a_select2 @ rho @ C ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ C ) ) ) @ ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0008]) ).
thf(zip_derived_cl127,plain,
( ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ pv47 ) @ ( a_select2 @ sigma @ pv47 ) ) ) ) @ ( a_select2 @ rho @ pv47 ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ pv47 ) ) ) @ pv84 )
!= ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ sk__27 ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ sk__27 ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ sk__27 ) @ ( a_select2 @ sigma @ sk__27 ) ) ) ) @ ( a_select2 @ rho @ sk__27 ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ sk__27 ) ) ) @ ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
pv47 = sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_001,plain,
pv47 = sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_002,plain,
pv47 = sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_003,plain,
pv47 = sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_004,plain,
pv47 = sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_005,plain,
pv47 = sk__27,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl119,plain,
( pv84
= ( sum @ n0 @ n4 @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ tptp_sum_index ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ tptp_sum_index ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) @ ( a_select2 @ rho @ tptp_sum_index ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ tptp_sum_index ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl188,plain,
( ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ pv47 ) @ ( a_select2 @ sigma @ pv47 ) ) ) ) @ ( a_select2 @ rho @ pv47 ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ pv47 ) ) ) @ pv84 )
!= ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ pv47 ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ pv47 ) @ ( a_select2 @ sigma @ pv47 ) ) ) ) @ ( a_select2 @ rho @ pv47 ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ pv47 ) ) ) @ pv84 ) ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl126,zip_derived_cl126,zip_derived_cl126,zip_derived_cl126,zip_derived_cl126,zip_derived_cl126,zip_derived_cl119]) ).
thf(zip_derived_cl189,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.16 % Problem : SWV158+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.06/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.njmc5KMWqJ true
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8042.1875MB
% 0.11/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Oct 1 12:51:08 EDT 2025
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Running portfolio for 300 s
% 0.11/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.6.8
% 0.11/0.39 % Running in FO mode
% 0.48/0.67 % Total configuration time : 435
% 0.48/0.67 % Estimated wc time : 1092
% 0.48/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/1.04 % Solved by fo/fo13.sh.
% 0.49/1.04 % done 0 iterations in 0.151s
% 0.49/1.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/1.04 % SZS output start Refutation
% See solution above
% 0.49/1.04
% 0.49/1.04
% 0.49/1.04 % Terminating...
% 2.69/1.19 % Runner terminated.
% 2.72/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------