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TRS_Outermost 2019-04-01 06.45 pair #433314675
details
property
value
status
complete
benchmark
Ex1_Luc02b_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n068.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.23493 seconds
cpu usage
2.53079
user time
2.40198
system time
0.128813
max virtual memory
1.8275288E7
max residence set size
186740.0
stage attributes
key
value
starexec-result
NO
output
2.48/1.20 NO 2.48/1.21 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 2.48/1.21 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.48/1.21 2.48/1.21 2.48/1.21 Outermost Termination of the given OTRS could be disproven: 2.48/1.21 2.48/1.21 (0) OTRS 2.48/1.21 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.48/1.21 (2) NO 2.48/1.21 2.48/1.21 2.48/1.21 ---------------------------------------- 2.48/1.21 2.48/1.21 (0) 2.48/1.21 Obligation: 2.48/1.21 Term rewrite system R: 2.48/1.21 The TRS R consists of the following rules: 2.48/1.21 2.48/1.21 sel(s(X), cons(Y)) -> sel(X, Z) 2.48/1.21 from(X) -> cons(X) 2.48/1.21 first(0, Z) -> nil 2.48/1.21 first(s(X), cons(Y)) -> cons(Y) 2.48/1.21 sel(0, cons(X)) -> X 2.48/1.21 2.48/1.21 2.48/1.21 2.48/1.21 Outermost Strategy. 2.48/1.21 2.48/1.21 ---------------------------------------- 2.48/1.21 2.48/1.21 (1) OutermostNonTerminationProof (COMPLETE) 2.48/1.21 Term rewrite system R: 2.48/1.21 The TRS R consists of the following rules: 2.48/1.21 2.48/1.21 sel(s(X), cons(Y)) -> sel(X, Z) 2.48/1.21 from(X) -> cons(X) 2.48/1.21 first(0, Z) -> nil 2.48/1.21 first(s(X), cons(Y)) -> cons(Y) 2.48/1.21 sel(0, cons(X)) -> X 2.48/1.21 2.48/1.21 2.48/1.21 2.48/1.21 Outermost Strategy. 2.48/1.21 2.48/1.21 ---------- Loop: ---------- 2.48/1.21 2.48/1.21 sel(s(X), cons(Y)) -> sel(X, sel(s(X), cons(Y))) with rule sel(s(X''), cons(Y'')) -> sel(X'', Z) at position [] and matcher [X'' / X, Y'' / Y, Z / sel(s(X), cons(Y))] 2.48/1.21 2.48/1.21 Now an instance of the first term with Matcher [ ] occurs in the last term at position [1]. 2.48/1.21 2.48/1.21 Context: sel(X, []) 2.48/1.21 2.48/1.21 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.48/1.21 ---------------------------------------- 2.48/1.21 2.48/1.21 (2) 2.48/1.21 NO 2.48/1.23 EOF
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