details

property	value
status	complete
benchmark	#3.15_rand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n047.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.42568397522 seconds
cpu usage	10.11672926
max memory	1.090428928E9

stage attributes

key	value
output-size	4808
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSRRRProof [EQUIVALENT, 51 ms] (2) RelTRS (3) RelTRSRRRProof [EQUIVALENT, 9 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 0 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 5 ms] (8) RelTRS (9) RIsEmptyProof [EQUIVALENT, 0 ms] (10) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: average(s(x), y) -> average(x, s(y)) average(x, s(s(s(y)))) -> s(average(s(x), y)) average(0, 0) -> 0 average(0, s(0)) -> 0 average(0, s(s(0))) -> s(0) The relative TRS consists of the following S rules: rand(x) -> x rand(x) -> rand(s(x)) ---------------------------------------- (1) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Polynomial interpretation [POLO]: POL(0) = 0 POL(average(x_1, x_2)) = x_1 + x_2 POL(rand(x_1)) = 1 + x_1 POL(s(x_1)) = x_1 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: Rules from R: none Rules from S: rand(x) -> x ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: average(s(x), y) -> average(x, s(y)) average(x, s(s(s(y)))) -> s(average(s(x), y)) average(0, 0) -> 0 average(0, s(0)) -> 0 average(0, s(s(0))) -> s(0) The relative TRS consists of the following S rules: rand(x) -> rand(s(x)) ---------------------------------------- (3) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : <<< POL(average(x_1, x_2)) = [[0], [1]] + [[1, 1], [0, 0]] * x_1 + [[1, 1], [0, 0]] * x_2 >>> <<< POL(s(x_1)) = [[0], [0]] + [[1, 0], [0, 1]] * x_1 >>> <<< POL(0) = [[1], [1]] >>> popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Relat 75837