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TRS Standard pair #487071159
details
property
value
status
complete
benchmark
Ex14_AEGL02_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0535961 seconds
cpu usage
0.049532
user time
0.026472
system time
0.02306
max virtual memory
113188.0
max residence set size
5720.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S Y:S) (RULES a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__length(cons(X:S,Y:S)) -> s(a__length1(Y:S)) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__length1(X:S) -> a__length(X:S) a__length1(X:S) -> length1(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(from(X:S)) -> a__from(mark(X:S)) mark(length(X:S)) -> a__length(X:S) mark(length1(X:S)) -> a__length1(X:S) mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__FROM(X:S) -> MARK(X:S) A__LENGTH(cons(X:S,Y:S)) -> A__LENGTH1(Y:S) A__LENGTH1(X:S) -> A__LENGTH(X:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(from(X:S)) -> A__FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(length(X:S)) -> A__LENGTH(X:S) MARK(length1(X:S)) -> A__LENGTH1(X:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__length(cons(X:S,Y:S)) -> s(a__length1(Y:S)) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__length1(X:S) -> a__length(X:S) a__length1(X:S) -> length1(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(from(X:S)) -> a__from(mark(X:S)) mark(length(X:S)) -> a__length(X:S) mark(length1(X:S)) -> a__length1(X:S) mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) Problem 1: SCC Processor: -> Pairs: A__FROM(X:S) -> MARK(X:S) A__LENGTH(cons(X:S,Y:S)) -> A__LENGTH1(Y:S) A__LENGTH1(X:S) -> A__LENGTH(X:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(from(X:S)) -> A__FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(length(X:S)) -> A__LENGTH(X:S) MARK(length1(X:S)) -> A__LENGTH1(X:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__length(cons(X:S,Y:S)) -> s(a__length1(Y:S)) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__length1(X:S) -> a__length(X:S) a__length1(X:S) -> length1(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(from(X:S)) -> a__from(mark(X:S)) mark(length(X:S)) -> a__length(X:S) mark(length1(X:S)) -> a__length1(X:S) mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A__LENGTH(cons(X:S,Y:S)) -> A__LENGTH1(Y:S) A__LENGTH1(X:S) -> A__LENGTH(X:S) ->->-> Rules: a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) a__length(cons(X:S,Y:S)) -> s(a__length1(Y:S)) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__length1(X:S) -> a__length(X:S) a__length1(X:S) -> length1(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(from(X:S)) -> a__from(mark(X:S)) mark(length(X:S)) -> a__length(X:S) mark(length1(X:S)) -> a__length1(X:S) mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) ->->Cycle:
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