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TRS Innermost pair #487093364
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
n141.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.060533 seconds
cpu usage
0.050053
user time
0.024876
system time
0.025177
max virtual memory
113188.0
max residence set size
5604.0
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)) ) (STRATEGY INNERMOST) 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))
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