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TRS Relat 75837 pair #381724844
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
n097.star.cs.uiowa.edu
space
Mixed_relative_TRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.69679307938 seconds
cpu usage
18.365028564
max memory
2.178101248E9
stage attributes
key
value
output-size
31523
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSRRRProof [EQUIVALENT, 147 ms] (2) RelTRS (3) RelTRSRRRProof [EQUIVALENT, 157 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 113 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 130 ms] (8) RelTRS (9) RelTRSRRRProof [EQUIVALENT, 77 ms] (10) RelTRS (11) RelTRSRRRProof [EQUIVALENT, 67 ms] (12) RelTRS (13) RelTRSRRRProof [EQUIVALENT, 63 ms] (14) RelTRS (15) RelTRSRRRProof [EQUIVALENT, 37 ms] (16) RelTRS (17) RelTRSRRRProof [EQUIVALENT, 0 ms] (18) RelTRS (19) RelTRSRRRProof [EQUIVALENT, 0 ms] (20) RelTRS (21) RelTRSRRRProof [EQUIVALENT, 6 ms] (22) RelTRS (23) RIsEmptyProof [EQUIVALENT, 0 ms] (24) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: top(north(old(n), e, s, w)) -> top(east(n, e, s, w)) top(north(new(n), old(e), s, w)) -> top(east(n, old(e), s, w)) top(north(new(n), e, old(s), w)) -> top(east(n, e, old(s), w)) top(north(new(n), e, s, old(w))) -> top(east(n, e, s, old(w))) top(east(n, old(e), s, w)) -> top(south(n, e, s, w)) top(east(old(n), new(e), s, w)) -> top(south(old(n), e, s, w)) top(east(n, new(e), old(s), w)) -> top(south(n, e, old(s), w)) top(east(n, new(e), s, old(w))) -> top(south(n, e, s, old(w))) top(south(n, e, old(s), w)) -> top(west(n, e, s, w)) top(south(old(n), e, new(s), w)) -> top(west(old(n), e, s, w)) top(south(n, old(e), new(s), w)) -> top(west(n, old(e), s, w)) top(south(n, e, new(s), old(w))) -> top(west(n, e, s, old(w))) top(west(n, e, s, old(w))) -> top(north(n, e, s, w)) top(west(old(n), e, s, new(w))) -> top(north(old(n), e, s, w)) top(west(n, old(e), s, new(w))) -> top(north(n, old(e), s, w)) top(west(n, e, old(s), new(w))) -> top(north(n, e, old(s), w)) top(north(bot, old(e), s, w)) -> top(east(bot, old(e), s, w)) top(north(bot, e, old(s), w)) -> top(east(bot, e, old(s), w)) top(north(bot, e, s, old(w))) -> top(east(bot, e, s, old(w))) top(east(old(n), bot, s, w)) -> top(south(old(n), bot, s, w)) top(east(n, bot, old(s), w)) -> top(south(n, bot, old(s), w)) top(east(n, bot, s, old(w))) -> top(south(n, bot, s, old(w))) top(south(old(n), e, bot, w)) -> top(west(old(n), e, bot, w)) top(south(n, old(e), bot, w)) -> top(west(n, old(e), bot, w)) top(south(n, e, bot, old(w))) -> top(west(n, e, bot, old(w))) top(west(old(n), e, s, bot)) -> top(north(old(n), e, s, bot)) top(west(n, old(e), s, bot)) -> top(north(n, old(e), s, bot)) top(west(n, e, old(s), bot)) -> top(north(n, e, old(s), bot)) The relative TRS consists of the following S rules: top(north(old(n), e, s, w)) -> top(north(n, e, s, w)) top(north(new(n), e, s, w)) -> top(north(n, e, s, w)) top(east(n, old(e), s, w)) -> top(east(n, e, s, w)) top(east(n, new(e), s, w)) -> top(east(n, e, s, w)) top(south(n, e, old(s), w)) -> top(south(n, e, s, w)) top(south(n, e, new(s), w)) -> top(south(n, e, s, w)) top(west(n, e, s, old(w))) -> top(west(n, e, s, w)) top(west(n, e, s, new(w))) -> top(west(n, e, s, w)) bot -> new(bot) ---------------------------------------- (1) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Polynomial interpretation [POLO]: POL(bot) = 0 POL(east(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4 POL(new(x_1)) = x_1 POL(north(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4 POL(old(x_1)) = 1 + x_1
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