details

property	value
status	complete
benchmark	24.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n072.star.cs.uiowa.edu
space	Various_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.1992 seconds
cpu usage	4.11454
user time	3.9281
system time	0.186433
max virtual memory	1.8408912E7
max residence set size	245620.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 113 ms] (2) QTRS (3) Overlay + Local Confluence [EQUIVALENT, 0 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 0 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) QDP (9) UsableRulesProof [EQUIVALENT, 0 ms] (10) QDP (11) QReductionProof [EQUIVALENT, 0 ms] (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] (14) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: max(L(x)) -> x max(N(L(0), L(y))) -> y max(N(L(s(x)), L(s(y)))) -> s(max(N(L(x), L(y)))) max(N(L(x), N(y, z))) -> max(N(L(x), L(max(N(y, z))))) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: max/1)YES( L/1)YES( N/2(YES,YES) 0/0) s/1(YES) Quasi precedence: N_2 > s_1 0 > s_1 Status: N_2: multiset status 0: multiset status s_1: multiset status With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: max(N(L(0), L(y))) -> y max(N(L(s(x)), L(s(y)))) -> s(max(N(L(x), L(y)))) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: max(L(x)) -> x max(N(L(x), N(y, z))) -> max(N(L(x), L(max(N(y, z))))) Q is empty. ---------------------------------------- (3) Overlay + Local Confluence (EQUIVALENT) The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: max(L(x)) -> x max(N(L(x), N(y, z))) -> max(N(L(x), L(max(N(y, z))))) The set Q consists of the following terms: max(L(x0)) max(N(L(x0), N(x1, x2))) ---------------------------------------- popout

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all output return to TRS Standard