details

property	value
status	complete
benchmark	dup02.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n098.star.cs.uiowa.edu
space	Mixed_relative_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	26.0855 seconds
cpu usage	98.6575
user time	95.5186
system time	3.13889
max virtual memory	3.7769624E7
max residence set size	6123212.0

stage attributes

key	value
starexec-result	YES

output

89.97/23.85 YES 98.35/25.98 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 98.35/25.98 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 98.35/25.98 98.35/25.98 98.35/25.98 Termination of the given RelTRS could be proven: 98.35/25.98 98.35/25.98 (0) RelTRS 98.35/25.98 (1) RelTRS Reverse [EQUIVALENT, 0 ms] 98.35/25.98 (2) RelTRS 98.35/25.98 (3) RelTRSRRRProof [EQUIVALENT, 51 ms] 98.35/25.98 (4) RelTRS 98.35/25.98 (5) RelTRSRRRProof [EQUIVALENT, 2898 ms] 98.35/25.98 (6) RelTRS 98.35/25.98 (7) RelTRSRRRProof [EQUIVALENT, 5 ms] 98.35/25.98 (8) RelTRS 98.35/25.98 (9) RelTRSRRRProof [EQUIVALENT, 498 ms] 98.35/25.98 (10) RelTRS 98.35/25.98 (11) RelTRSRRRProof [EQUIVALENT, 279 ms] 98.35/25.98 (12) RelTRS 98.35/25.98 (13) RelTRSRRRProof [EQUIVALENT, 887 ms] 98.35/25.98 (14) RelTRS 98.35/25.98 (15) RIsEmptyProof [EQUIVALENT, 0 ms] 98.35/25.98 (16) YES 98.35/25.98 98.35/25.98 98.35/25.98 ---------------------------------------- 98.35/25.98 98.35/25.98 (0) 98.35/25.98 Obligation: 98.35/25.98 Relative term rewrite system: 98.35/25.98 The relative TRS consists of the following R rules: 98.35/25.98 98.35/25.98 d(d(n(n(x1)))) -> d(d(x1)) 98.35/25.98 d(d(o(o(x1)))) -> d(d(x1)) 98.35/25.98 o(o(u(u(x1)))) -> u(u(x1)) 98.35/25.98 98.35/25.98 The relative TRS consists of the following S rules: 98.35/25.98 98.35/25.98 t(t(u(u(x1)))) -> t(t(c(c(d(d(x1)))))) 98.35/25.98 d(d(f(f(x1)))) -> f(f(d(d(x1)))) 98.35/25.98 d(d(g(g(x1)))) -> u(u(g(g(x1)))) 98.35/26.00 f(f(u(u(x1)))) -> u(u(f(f(x1)))) 98.35/26.00 n(n(u(u(x1)))) -> u(u(x1)) 98.35/26.00 f(f(x1)) -> f(f(n(n(x1)))) 98.35/26.00 t(t(x1)) -> t(t(c(c(n(n(x1)))))) 98.35/26.00 c(c(n(n(x1)))) -> n(n(c(c(x1)))) 98.35/26.00 c(c(o(o(x1)))) -> o(o(c(c(x1)))) 98.35/26.00 c(c(o(o(x1)))) -> o(o(x1)) 98.35/26.00 c(c(f(f(x1)))) -> f(f(c(c(x1)))) 98.35/26.00 c(c(u(u(x1)))) -> u(u(c(c(x1)))) 98.35/26.00 c(c(d(d(x1)))) -> d(d(c(c(x1)))) 98.35/26.00 98.35/26.00 98.35/26.00 ---------------------------------------- 98.35/26.00 98.35/26.00 (1) RelTRS Reverse (EQUIVALENT) 98.35/26.00 We have reversed the following relative TRS [REVERSE]: 98.35/26.00 The set of rules R is 98.35/26.00 d(d(n(n(x1)))) -> d(d(x1)) 98.35/26.00 d(d(o(o(x1)))) -> d(d(x1)) 98.35/26.00 o(o(u(u(x1)))) -> u(u(x1)) 98.35/26.00 98.35/26.00 The set of rules S is 98.35/26.00 t(t(u(u(x1)))) -> t(t(c(c(d(d(x1)))))) 98.35/26.00 d(d(f(f(x1)))) -> f(f(d(d(x1)))) 98.35/26.00 d(d(g(g(x1)))) -> u(u(g(g(x1)))) 98.35/26.00 f(f(u(u(x1)))) -> u(u(f(f(x1)))) 98.35/26.00 n(n(u(u(x1)))) -> u(u(x1)) 98.35/26.00 f(f(x1)) -> f(f(n(n(x1)))) 98.35/26.00 t(t(x1)) -> t(t(c(c(n(n(x1)))))) 98.35/26.00 c(c(n(n(x1)))) -> n(n(c(c(x1)))) 98.35/26.00 c(c(o(o(x1)))) -> o(o(c(c(x1)))) 98.35/26.00 c(c(o(o(x1)))) -> o(o(x1)) 98.35/26.00 c(c(f(f(x1)))) -> f(f(c(c(x1)))) 98.35/26.00 c(c(u(u(x1)))) -> u(u(c(c(x1)))) 98.35/26.00 c(c(d(d(x1)))) -> d(d(c(c(x1)))) 98.35/26.00 98.35/26.00 We have obtained the following relative TRS: 98.35/26.00 The set of rules R is 98.35/26.00 n(n(d(d(x1)))) -> d(d(x1)) 98.35/26.00 o(o(d(d(x1)))) -> d(d(x1)) 98.35/26.00 u(u(o(o(x1)))) -> u(u(x1)) 98.35/26.00 98.35/26.00 The set of rules S is 98.35/26.00 u(u(t(t(x1)))) -> d(d(c(c(t(t(x1)))))) 98.35/26.00 f(f(d(d(x1)))) -> d(d(f(f(x1)))) 98.35/26.00 g(g(d(d(x1)))) -> g(g(u(u(x1)))) 98.35/26.00 u(u(f(f(x1)))) -> f(f(u(u(x1)))) 98.35/26.00 u(u(n(n(x1)))) -> u(u(x1)) 98.35/26.00 f(f(x1)) -> n(n(f(f(x1)))) 98.35/26.00 t(t(x1)) -> n(n(c(c(t(t(x1)))))) 98.35/26.00 n(n(c(c(x1)))) -> c(c(n(n(x1)))) 98.35/26.00 o(o(c(c(x1)))) -> c(c(o(o(x1)))) 98.35/26.00 o(o(c(c(x1)))) -> o(o(x1)) 98.35/26.00 f(f(c(c(x1)))) -> c(c(f(f(x1)))) 98.35/26.00 u(u(c(c(x1)))) -> c(c(u(u(x1)))) 98.35/26.00 d(d(c(c(x1)))) -> c(c(d(d(x1)))) 98.35/26.00 98.35/26.00 popout

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all output return to SRS_Relative 2019-03-29 08.12