details

property	value
status	complete
benchmark	random-50.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.76570487022 seconds
cpu usage	3.989549609
max memory	2.85028352E8

stage attributes

key	value
output-size	1809
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSRRRProof [EQUIVALENT, 33 ms] (2) RelTRS (3) RIsEmptyProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: c(b(a(x1))) -> c(c(c(x1))) b(c(c(x1))) -> a(c(c(x1))) The relative TRS consists of the following S rules: b(a(c(x1))) -> b(c(b(x1))) a(a(c(x1))) -> c(c(c(x1))) c(a(c(x1))) -> c(c(b(x1))) b(c(a(x1))) -> a(a(b(x1))) ---------------------------------------- (1) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Knuth-Bendix order [KBO] with precedence:b_1 > a_1 > c_1 and weight map: c_1=1 b_1=1 a_1=1 The variable weight is 1With this ordering the following rules can be removed [MATRO] because they are oriented strictly: Rules from R: c(b(a(x1))) -> c(c(c(x1))) b(c(c(x1))) -> a(c(c(x1))) Rules from S: b(a(c(x1))) -> b(c(b(x1))) a(a(c(x1))) -> c(c(c(x1))) c(a(c(x1))) -> c(c(b(x1))) b(c(a(x1))) -> a(a(b(x1))) ---------------------------------------- (2) Obligation: Relative term rewrite system: R is empty. S is empty. ---------------------------------------- (3) RIsEmptyProof (EQUIVALENT) The TRS R is empty. Hence, termination is trivially proven. ---------------------------------------- (4) YES popout

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

job log

popout

actions

all output return to SRS Relative