details

property	value
status	complete
benchmark	random-187.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n062.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	14.3569 seconds
cpu usage	53.4653
user time	51.6621
system time	1.80324
max virtual memory	3.890598E7
max residence set size	4559616.0

stage attributes

key	value
starexec-result	YES

output

53.23/14.31 YES 53.23/14.32 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 53.23/14.32 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 53.23/14.32 53.23/14.32 53.23/14.32 Termination of the given RelTRS could be proven: 53.23/14.32 53.23/14.32 (0) RelTRS 53.23/14.32 (1) RelTRSRRRProof [EQUIVALENT, 2054 ms] 53.23/14.32 (2) RelTRS 53.23/14.32 (3) RelTRSRRRProof [EQUIVALENT, 0 ms] 53.23/14.32 (4) RelTRS 53.23/14.32 (5) RelTRSRRRProof [EQUIVALENT, 3 ms] 53.23/14.32 (6) RelTRS 53.23/14.32 (7) RIsEmptyProof [EQUIVALENT, 0 ms] 53.23/14.32 (8) YES 53.23/14.32 53.23/14.32 53.23/14.32 ---------------------------------------- 53.23/14.32 53.23/14.32 (0) 53.23/14.32 Obligation: 53.23/14.32 Relative term rewrite system: 53.23/14.32 The relative TRS consists of the following R rules: 53.23/14.32 53.23/14.32 c(c(a(x1))) -> b(b(c(x1))) 53.23/14.32 a(b(c(x1))) -> a(b(a(x1))) 53.23/14.32 53.23/14.32 The relative TRS consists of the following S rules: 53.23/14.32 53.23/14.32 c(c(c(x1))) -> b(c(a(x1))) 53.23/14.32 a(b(b(x1))) -> a(c(a(x1))) 53.23/14.32 c(c(a(x1))) -> b(b(b(x1))) 53.23/14.32 c(b(a(x1))) -> c(c(b(x1))) 53.23/14.32 53.23/14.32 53.23/14.32 ---------------------------------------- 53.23/14.32 53.23/14.32 (1) RelTRSRRRProof (EQUIVALENT) 53.23/14.32 We used the following monotonic ordering for rule removal: 53.23/14.32 Matrix interpretation [MATRO] to (N^6, +, *, >=, >) : 53.23/14.32 53.23/14.32 <<< 53.23/14.32 POL(c(x_1)) = [[0], [1], [0], [1], [0], [0]] + [[1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]] * x_1 53.23/14.32 >>> 53.23/14.32 53.23/14.32 <<< 53.23/14.32 POL(a(x_1)) = [[0], [0], [0], [1], [1], [0]] + [[1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0]] * x_1 53.23/14.32 >>> 53.23/14.32 53.23/14.32 <<< 53.23/14.32 POL(b(x_1)) = [[0], [1], [0], [1], [0], [0]] + [[1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]] * x_1 53.23/14.32 >>> 53.23/14.32 53.23/14.32 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 53.23/14.32 Rules from R: 53.23/14.32 53.23/14.32 c(c(a(x1))) -> b(b(c(x1))) 53.23/14.32 Rules from S: 53.23/14.32 53.23/14.32 c(c(c(x1))) -> b(c(a(x1))) 53.23/14.32 c(c(a(x1))) -> b(b(b(x1))) 53.23/14.32 53.23/14.32 53.23/14.32 53.23/14.32 53.23/14.32 ---------------------------------------- 53.23/14.32 53.23/14.32 (2) 53.23/14.32 Obligation: 53.23/14.32 Relative term rewrite system: 53.23/14.32 The relative TRS consists of the following R rules: 53.23/14.32 53.23/14.32 a(b(c(x1))) -> a(b(a(x1))) 53.23/14.32 53.23/14.32 The relative TRS consists of the following S rules: 53.23/14.32 53.23/14.32 a(b(b(x1))) -> a(c(a(x1))) 53.23/14.32 c(b(a(x1))) -> c(c(b(x1))) 53.23/14.32 53.23/14.32 53.23/14.32 ---------------------------------------- 53.23/14.32 53.23/14.32 (3) RelTRSRRRProof (EQUIVALENT) 53.23/14.32 We used the following monotonic ordering for rule removal: 53.23/14.32 Polynomial interpretation [POLO]: 53.23/14.32 53.23/14.32 POL(a(x_1)) = x_1 53.23/14.32 POL(b(x_1)) = 1 + x_1 53.23/14.32 POL(c(x_1)) = x_1 53.23/14.32 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 53.23/14.32 Rules from R: 53.23/14.32 none 53.23/14.32 Rules from S: 53.23/14.32 53.23/14.32 a(b(b(x1))) -> a(c(a(x1))) 53.23/14.32 53.23/14.32 53.23/14.32 53.23/14.32 popout

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all output return to SRS_Relative 2019-03-29 08.12