details

property	value
status	complete
benchmark	random-186.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	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	249.306 seconds
cpu usage	982.03
user time	972.372
system time	9.65793
max virtual memory	3.9215184E7
max residence set size	1.4508348E7

stage attributes

key	value
starexec-result	YES

output

981.74/249.19 YES 981.74/249.20 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 981.74/249.20 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 981.74/249.20 981.74/249.20 981.74/249.20 Termination of the given RelTRS could be proven: 981.74/249.20 981.74/249.20 (0) RelTRS 981.74/249.20 (1) RelTRSRRRProof [EQUIVALENT, 72.3 s] 981.74/249.20 (2) RelTRS 981.74/249.20 (3) RelTRSRRRProof [EQUIVALENT, 0 ms] 981.74/249.20 (4) RelTRS 981.74/249.20 (5) RelTRSRRRProof [EQUIVALENT, 0 ms] 981.74/249.20 (6) RelTRS 981.74/249.20 (7) RIsEmptyProof [EQUIVALENT, 0 ms] 981.74/249.20 (8) YES 981.74/249.20 981.74/249.20 981.74/249.20 ---------------------------------------- 981.74/249.20 981.74/249.20 (0) 981.74/249.20 Obligation: 981.74/249.20 Relative term rewrite system: 981.74/249.20 The relative TRS consists of the following R rules: 981.74/249.20 981.74/249.20 b(c(b(x1))) -> a(b(b(x1))) 981.74/249.20 a(c(c(x1))) -> c(a(a(x1))) 981.74/249.20 b(c(a(x1))) -> a(b(a(x1))) 981.74/249.20 981.74/249.20 The relative TRS consists of the following S rules: 981.74/249.20 981.74/249.20 b(c(b(x1))) -> b(c(c(x1))) 981.74/249.20 a(b(c(x1))) -> b(b(b(x1))) 981.74/249.20 c(a(c(x1))) -> c(b(a(x1))) 981.74/249.20 a(a(a(x1))) -> a(c(c(x1))) 981.74/249.20 981.74/249.20 981.74/249.20 ---------------------------------------- 981.74/249.20 981.74/249.20 (1) RelTRSRRRProof (EQUIVALENT) 981.74/249.20 We used the following monotonic ordering for rule removal: 981.74/249.20 Matrix interpretation [MATRO] to (N^3, +, *, >=, >) : 981.74/249.20 981.74/249.20 <<< 981.74/249.20 POL(b(x_1)) = [[1], [1], [1]] + [[1, 1, 0], [1, 0, 1], [1, 0, 1]] * x_1 981.74/249.20 >>> 981.74/249.20 981.74/249.20 <<< 981.74/249.20 POL(c(x_1)) = [[1], [2], [0]] + [[2, 0, 0], [0, 1, 1], [0, 1, 1]] * x_1 981.74/249.20 >>> 981.74/249.20 981.74/249.20 <<< 981.74/249.20 POL(a(x_1)) = [[1], [0], [0]] + [[2, 0, 0], [2, 0, 0], [2, 0, 0]] * x_1 981.74/249.20 >>> 981.74/249.20 981.74/249.20 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 981.74/249.20 Rules from R: 981.74/249.20 981.74/249.20 b(c(b(x1))) -> a(b(b(x1))) 981.74/249.20 b(c(a(x1))) -> a(b(a(x1))) 981.74/249.20 Rules from S: 981.74/249.20 981.74/249.20 a(b(c(x1))) -> b(b(b(x1))) 981.74/249.20 c(a(c(x1))) -> c(b(a(x1))) 981.74/249.20 981.74/249.20 981.74/249.20 981.74/249.20 981.74/249.20 ---------------------------------------- 981.74/249.20 981.74/249.20 (2) 981.74/249.20 Obligation: 981.74/249.20 Relative term rewrite system: 981.74/249.20 The relative TRS consists of the following R rules: 981.74/249.20 981.74/249.20 a(c(c(x1))) -> c(a(a(x1))) 981.74/249.20 981.74/249.20 The relative TRS consists of the following S rules: 981.74/249.20 981.74/249.20 b(c(b(x1))) -> b(c(c(x1))) 981.74/249.20 a(a(a(x1))) -> a(c(c(x1))) 981.74/249.20 981.74/249.20 981.74/249.20 ---------------------------------------- 981.74/249.20 981.74/249.20 (3) RelTRSRRRProof (EQUIVALENT) 981.74/249.20 We used the following monotonic ordering for rule removal: 981.74/249.20 Polynomial interpretation [POLO]: 981.74/249.20 981.74/249.20 POL(a(x_1)) = x_1 981.74/249.20 POL(b(x_1)) = 1 + x_1 981.74/249.20 POL(c(x_1)) = x_1 981.74/249.20 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 981.74/249.20 Rules from R: 981.74/249.20 none 981.74/249.20 Rules from S: 981.74/249.20 981.74/249.20 b(c(b(x1))) -> b(c(c(x1))) 981.74/249.20 981.74/249.20 popout

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

job log

popout

actions

all output return to SRS_Relative 2019-03-29 08.12