details

property	value
status	complete
benchmark	rt3-9.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	Relative_05

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.50382089615 seconds
cpu usage	7.024707603
max memory	6.4047104E8

stage attributes

key	value
output-size	3719
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSRRRProof [EQUIVALENT, 55 ms] (2) RelTRS (3) RelTRSRRRProof [EQUIVALENT, 13 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 0 ms] (6) RelTRS (7) RIsEmptyProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: l(m(x)) -> m(l(x)) m(r(x)) -> r(m(x)) f(m(x), y) -> f(x, m(y)) The relative TRS consists of the following S rules: b -> l(b) f(x, y) -> f(x, r(y)) ---------------------------------------- (1) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : <<< POL(l(x_1)) = [[0], [0]] + [[1, 1], [1, 1]] * x_1 >>> <<< POL(m(x_1)) = [[0], [1]] + [[1, 0], [0, 1]] * x_1 >>> <<< POL(r(x_1)) = [[0], [0]] + [[1, 0], [0, 1]] * x_1 >>> <<< POL(f(x_1, x_2)) = [[1], [1]] + [[1, 1], [1, 1]] * x_1 + [[1, 1], [1, 1]] * x_2 >>> <<< POL(b) = [[0], [0]] >>> With this ordering the following rules can be removed [MATRO] because they are oriented strictly: Rules from R: l(m(x)) -> m(l(x)) Rules from S: none ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: m(r(x)) -> r(m(x)) f(m(x), y) -> f(x, m(y)) The relative TRS consists of the following S rules: b -> l(b) f(x, y) -> f(x, r(y)) ---------------------------------------- (3) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: m/1(YES) r/1)YES( f/2(YES,YES) popout

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job log

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actions

all output return to TRS Relat 75837