TSTP Solution File: SWV164+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV164+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WfLC3kGEWq true
% Computer : n011.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 : Fri Sep 1 00:08:08 EDT 2023
% Result : Theorem 1.25s 0.79s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 33
% Syntax : Number of formulae : 44 ( 9 unt; 28 typ; 0 def)
% Number of atoms : 37 ( 6 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 275 ( 7 ~; 4 |; 9 &; 247 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 17 con; 0-3 aty)
% Number of variables : 17 ( 0 ^; 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__17_type,type,
sk__17: $i ).
thf(pred_type,type,
pred: $i > $i ).
thf(n135299_type,type,
n135299: $i ).
thf(tptp_minus_1_type,type,
tptp_minus_1: $i ).
thf(sigma_type,type,
sigma: $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_sum_index_type,type,
tptp_sum_index: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $i ).
thf(n1_type,type,
n1: $i ).
thf(exp_type,type,
exp: $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sqrt_type,type,
sqrt: $i > $i ).
thf(gt_type,type,
gt: $i > $i > $o ).
thf(tptp_minus_2_type,type,
tptp_minus_2: $i ).
thf(n0_type,type,
n0: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(pv10_type,type,
pv10: $i ).
thf(tptp_pi_type,type,
tptp_pi: $i ).
thf(rho_type,type,
rho: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(q_type,type,
q: $i ).
thf(divide_type,type,
divide: $i > $i > $i ).
thf(x_type,type,
x: $i ).
thf(mu_type,type,
mu: $i ).
thf(times_type,type,
times: $i > $i > $i ).
thf(n4_type,type,
n4: $i ).
thf(cl5_nebula_norm_0014,conjecture,
( ( ( leq @ n0 @ pv10 )
& ( leq @ pv10 @ n135299 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( pred @ pv10 ) ) )
=> ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
= n1 ) ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ tptp_minus_1 ) )
=> ( ( a_select3 @ q @ pv10 @ B )
= ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ B ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ B ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ B ) @ ( a_select2 @ sigma @ B ) ) ) ) @ ( a_select2 @ rho @ B ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ B ) ) ) @ ( 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,
~ ( ( ( leq @ n0 @ pv10 )
& ( leq @ pv10 @ n135299 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( pred @ pv10 ) ) )
=> ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
= n1 ) ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ tptp_minus_1 ) )
=> ( ( a_select3 @ q @ pv10 @ B )
= ( divide @ ( divide @ ( times @ ( exp @ ( divide @ ( divide @ ( times @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ B ) ) @ ( minus @ ( a_select2 @ x @ pv10 ) @ ( a_select2 @ mu @ B ) ) ) @ tptp_minus_2 ) @ ( times @ ( a_select2 @ sigma @ B ) @ ( a_select2 @ sigma @ B ) ) ) ) @ ( a_select2 @ rho @ B ) ) @ ( times @ ( sqrt @ ( times @ n2 @ tptp_pi ) ) @ ( a_select2 @ sigma @ B ) ) ) @ ( 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_0014]) ).
thf(zip_derived_cl130,plain,
leq @ n0 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(transitivity_leq,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( leq @ X0 @ X1 )
| ~ ( leq @ X1 @ X2 )
| ( leq @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity_leq]) ).
thf(zip_derived_cl727,plain,
! [X0: $i] :
( ( leq @ n0 @ X0 )
| ~ ( leq @ sk__17 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl4]) ).
thf(zip_derived_cl129,plain,
leq @ sk__17 @ tptp_minus_1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl771,plain,
leq @ n0 @ tptp_minus_1,
inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl129]) ).
thf(leq_succ_gt_equiv,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( gt @ ( succ @ Y ) @ X ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( gt @ ( succ @ X0 ) @ X1 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).
thf(zip_derived_cl864,plain,
gt @ ( succ @ tptp_minus_1 ) @ n0,
inference('sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl11]) ).
thf(succ_tptp_minus_1,axiom,
( ( succ @ tptp_minus_1 )
= n0 ) ).
thf(zip_derived_cl48,plain,
( ( succ @ tptp_minus_1 )
= n0 ),
inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).
thf(irreflexivity_gt,axiom,
! [X: $i] :
~ ( gt @ X @ X ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
~ ( gt @ X0 @ X0 ),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
thf(zip_derived_cl871,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl864,zip_derived_cl48,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV164+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WfLC3kGEWq true
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 09:47:11 EDT 2023
% 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
% 0.22/0.36 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.37 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.82/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.79 % Solved by fo/fo3_bce.sh.
% 1.25/0.79 % BCE start: 131
% 1.25/0.79 % BCE eliminated: 0
% 1.25/0.79 % PE start: 131
% 1.25/0.79 logic: eq
% 1.25/0.79 % PE eliminated: 3
% 1.25/0.79 % done 95 iterations in 0.056s
% 1.25/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.25/0.79 % SZS output start Refutation
% See solution above
% 1.25/0.79
% 1.25/0.79
% 1.25/0.79 % Terminating...
% 1.42/0.87 % Runner terminated.
% 1.42/0.89 % Zipperpin 1.5 exiting
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