%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : 600s
% DateTime : Wed Jul 20 21:41:28 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 4 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(148,axiom,
equal(sum__dfg(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x__dfg,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x__dfg,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)))),pv84),
file('SWV158+1.p',unknown),
[] ).
cnf(157,axiom,
~ equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x__dfg,pv10),a_select2(mu,pv47)),minus(a_select2(x__dfg,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))),sum__dfg(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x__dfg,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x__dfg,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))))),divide(divide(times(exp(divide(divide(times(minus(a_select2(x__dfg,pv10),a_select2(mu,pv47)),minus(a_select2(x__dfg,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)),
file('SWV158+1.p',unknown),
[] ).
cnf(172,plain,
~ equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x__dfg,pv10),a_select2(mu,pv47)),minus(a_select2(x__dfg,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__dfg,pv10),a_select2(mu,pv47)),minus(a_select2(x__dfg,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(rew,[status(thm),theory(equality)],[148,157]),
[iquote('0:Rew:148.0,157.0')] ).
cnf(173,plain,
$false,
inference(obv,[status(thm),theory(equality)],[172]),
[iquote('0:Obv:172.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Wed Jun 15 02:46:48 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.53
% 0.21/0.53 SPASS V 3.9
% 0.21/0.53 SPASS beiseite: Proof found.
% 0.21/0.53 % SZS status Theorem
% 0.21/0.53 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 155 clauses.
% 0.21/0.53 SPASS allocated 85886 KBytes.
% 0.21/0.53 SPASS spent 0:00:00.15 on the problem.
% 0.21/0.53 0:00:00.04 for the input.
% 0.21/0.53 0:00:00.08 for the FLOTTER CNF translation.
% 0.21/0.53 0:00:00.00 for inferences.
% 0.21/0.53 0:00:00.00 for the backtracking.
% 0.21/0.53 0:00:00.02 for the reduction.
% 0.21/0.53
% 0.21/0.53
% 0.21/0.53 Here is a proof with depth 0, length 4 :
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 Formulae used in the proof : cl5_nebula_norm_0008
% 0.21/0.53
%------------------------------------------------------------------------------