details

property	value
status	complete
benchmark	zr11.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n055.star.cs.uiowa.edu
space	Mixed_relative_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.22053003311 seconds
cpu usage	9.805434178
max memory	1.245106176E9

stage attributes

key	value
output-size	3470
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRS Reverse [EQUIVALENT, 0 ms] (2) RelTRS (3) RelTRSRRRProof [EQUIVALENT, 372 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 6 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: b(c(a(x1))) -> a(b(a(b(x1)))) a(a(x1)) -> a(c(b(a(x1)))) The relative TRS consists of the following S rules: b(x1) -> c(b(x1)) ---------------------------------------- (1) RelTRS Reverse (EQUIVALENT) We have reversed the following relative TRS [REVERSE]: The set of rules R is b(c(a(x1))) -> a(b(a(b(x1)))) a(a(x1)) -> a(c(b(a(x1)))) The set of rules S is b(x1) -> c(b(x1)) We have obtained the following relative TRS: The set of rules R is a(c(b(x1))) -> b(a(b(a(x1)))) a(a(x1)) -> a(b(c(a(x1)))) The set of rules S is b(x1) -> b(c(x1)) ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: a(c(b(x1))) -> b(a(b(a(x1)))) a(a(x1)) -> a(b(c(a(x1)))) The relative TRS consists of the following S rules: b(x1) -> b(c(x1)) ---------------------------------------- (3) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Matrix interpretation [MATRO] to (N^3, +, *, >=, >) : <<< POL(a(x_1)) = [[0], [0], [0]] + [[2, 1, 0], [0, 0, 0], [0, 2, 0]] * x_1 >>> <<< POL(c(x_1)) = [[0], [0], [0]] + [[1, 0, 0], [0, 0, 2], [0, 0, 0]] * x_1 >>> <<< POL(b(x_1)) = [[0], [0], [1]] + [[1, 0, 0], [0, 0, 0], [2, 1, 2]] * x_1 >>> With this ordering the following rules can be removed [MATRO] because they are oriented strictly: Rules from R: a(c(b(x1))) -> b(a(b(a(x1)))) Rules from S: none popout

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

job log

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actions

all output return to SRS Relat 19260