details

property	value
status	complete
benchmark	trafic.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Mixed_relative_TRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.45716 seconds
cpu usage	21.6527
user time	20.4473
system time	1.20548
max virtual memory	3.7634192E7
max residence set size	3174136.0

stage attributes

key	value
starexec-result	YES

output

21.35/6.37 YES 21.35/6.40 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 21.35/6.40 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.35/6.40 21.35/6.40 21.35/6.40 Termination of the given RelTRS could be proven: 21.35/6.40 21.35/6.40 (0) RelTRS 21.35/6.40 (1) RelTRSRRRProof [EQUIVALENT, 129 ms] 21.35/6.40 (2) RelTRS 21.35/6.40 (3) RelTRSRRRProof [EQUIVALENT, 239 ms] 21.35/6.40 (4) RelTRS 21.35/6.40 (5) RelTRSRRRProof [EQUIVALENT, 147 ms] 21.35/6.40 (6) RelTRS 21.35/6.40 (7) RelTRSRRRProof [EQUIVALENT, 99 ms] 21.35/6.40 (8) RelTRS 21.35/6.40 (9) RelTRSRRRProof [EQUIVALENT, 75 ms] 21.35/6.40 (10) RelTRS 21.35/6.40 (11) RelTRSRRRProof [EQUIVALENT, 54 ms] 21.35/6.40 (12) RelTRS 21.35/6.40 (13) RelTRSRRRProof [EQUIVALENT, 41 ms] 21.35/6.40 (14) RelTRS 21.35/6.40 (15) RelTRSRRRProof [EQUIVALENT, 0 ms] 21.35/6.40 (16) RelTRS 21.35/6.40 (17) RelTRSRRRProof [EQUIVALENT, 0 ms] 21.35/6.40 (18) RelTRS 21.35/6.40 (19) RelTRSRRRProof [EQUIVALENT, 0 ms] 21.35/6.40 (20) RelTRS 21.35/6.40 (21) RelTRSRRRProof [EQUIVALENT, 8 ms] 21.35/6.40 (22) RelTRS 21.35/6.40 (23) RelTRSRRRProof [EQUIVALENT, 7 ms] 21.35/6.40 (24) RelTRS 21.35/6.40 (25) RIsEmptyProof [EQUIVALENT, 0 ms] 21.35/6.40 (26) YES 21.35/6.40 21.35/6.40 21.35/6.40 ---------------------------------------- 21.35/6.40 21.35/6.40 (0) 21.35/6.40 Obligation: 21.35/6.40 Relative term rewrite system: 21.35/6.40 The relative TRS consists of the following R rules: 21.35/6.40 21.35/6.40 top(north(old(n), e, s, w)) -> top(east(n, e, s, w)) 21.35/6.40 top(north(new(n), old(e), s, w)) -> top(east(n, old(e), s, w)) 21.35/6.40 top(north(new(n), e, old(s), w)) -> top(east(n, e, old(s), w)) 21.35/6.40 top(north(new(n), e, s, old(w))) -> top(east(n, e, s, old(w))) 21.35/6.40 top(east(n, old(e), s, w)) -> top(south(n, e, s, w)) 21.35/6.40 top(east(old(n), new(e), s, w)) -> top(south(old(n), e, s, w)) 21.35/6.40 top(east(n, new(e), old(s), w)) -> top(south(n, e, old(s), w)) 21.35/6.40 top(east(n, new(e), s, old(w))) -> top(south(n, e, s, old(w))) 21.35/6.40 top(south(n, e, old(s), w)) -> top(west(n, e, s, w)) 21.35/6.40 top(south(old(n), e, new(s), w)) -> top(west(old(n), e, s, w)) 21.35/6.40 top(south(n, old(e), new(s), w)) -> top(west(n, old(e), s, w)) 21.35/6.40 top(south(n, e, new(s), old(w))) -> top(west(n, e, s, old(w))) 21.35/6.40 top(west(n, e, s, old(w))) -> top(north(n, e, s, w)) 21.35/6.40 top(west(old(n), e, s, new(w))) -> top(north(old(n), e, s, w)) 21.35/6.40 top(west(n, old(e), s, new(w))) -> top(north(n, old(e), s, w)) 21.35/6.40 top(west(n, e, old(s), new(w))) -> top(north(n, e, old(s), w)) 21.35/6.40 top(north(bot, old(e), s, w)) -> top(east(bot, old(e), s, w)) 21.35/6.40 top(north(bot, e, old(s), w)) -> top(east(bot, e, old(s), w)) 21.35/6.40 top(north(bot, e, s, old(w))) -> top(east(bot, e, s, old(w))) 21.35/6.40 top(east(old(n), bot, s, w)) -> top(south(old(n), bot, s, w)) 21.35/6.40 top(east(n, bot, old(s), w)) -> top(south(n, bot, old(s), w)) 21.35/6.40 top(east(n, bot, s, old(w))) -> top(south(n, bot, s, old(w))) 21.35/6.40 top(south(old(n), e, bot, w)) -> top(west(old(n), e, bot, w)) 21.35/6.40 top(south(n, old(e), bot, w)) -> top(west(n, old(e), bot, w)) 21.35/6.40 top(south(n, e, bot, old(w))) -> top(west(n, e, bot, old(w))) 21.35/6.40 top(west(old(n), e, s, bot)) -> top(north(old(n), e, s, bot)) 21.35/6.40 top(west(n, old(e), s, bot)) -> top(north(n, old(e), s, bot)) 21.35/6.40 top(west(n, e, old(s), bot)) -> top(north(n, e, old(s), bot)) 21.35/6.40 21.35/6.40 The relative TRS consists of the following S rules: 21.35/6.40 21.35/6.40 top(north(old(n), e, s, w)) -> top(north(n, e, s, w)) 21.35/6.40 top(north(new(n), e, s, w)) -> top(north(n, e, s, w)) 21.35/6.40 top(east(n, old(e), s, w)) -> top(east(n, e, s, w)) 21.35/6.40 top(east(n, new(e), s, w)) -> top(east(n, e, s, w)) 21.35/6.40 top(south(n, e, old(s), w)) -> top(south(n, e, s, w)) 21.35/6.40 top(south(n, e, new(s), w)) -> top(south(n, e, s, w)) 21.35/6.40 top(west(n, e, s, old(w))) -> top(west(n, e, s, w)) 21.35/6.40 top(west(n, e, s, new(w))) -> top(west(n, e, s, w)) 21.35/6.40 bot -> new(bot) 21.35/6.40 21.35/6.40 21.35/6.40 ---------------------------------------- 21.35/6.40 21.35/6.40 (1) RelTRSRRRProof (EQUIVALENT) 21.35/6.40 We used the following monotonic ordering for rule removal: 21.35/6.40 Polynomial interpretation [POLO]: 21.35/6.40 21.35/6.40 POL(bot) = 0 21.35/6.40 POL(east(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4 21.35/6.40 POL(new(x_1)) = x_1 21.35/6.40 POL(north(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4 21.35/6.40 POL(old(x_1)) = 1 + x_1 21.35/6.40 POL(south(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4 21.35/6.40 POL(top(x_1)) = x_1 21.35/6.40 POL(west(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4 21.35/6.40 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: popout

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job log

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actions

all output return to TRS_Relative 2019-03-21 03.54