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TRS Innermost pair #487093540
details
property
value
status
complete
benchmark
Ex6_9_Luc02c_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
36.7589 seconds
cpu usage
35.1437
user time
30.8326
system time
4.31107
max virtual memory
716492.0
max residence set size
12692.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S Y:S Z:S) (RULES a__2nd(cons(X:S,X1:S)) -> a__2nd(cons1(mark(X:S),mark(X1:S))) a__2nd(cons1(X:S,cons(Y:S,Z:S))) -> mark(Y:S) a__2nd(X:S) -> 2nd(X:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) mark(2nd(X:S)) -> a__2nd(mark(X:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(cons1(X1:S,X2:S)) -> cons1(mark(X1:S),mark(X2:S)) mark(from(X:S)) -> a__from(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: A__2ND(cons(X:S,X1:S)) -> A__2ND(cons1(mark(X:S),mark(X1:S))) A__2ND(cons(X:S,X1:S)) -> MARK(X:S) A__2ND(cons(X:S,X1:S)) -> MARK(X1:S) A__2ND(cons1(X:S,cons(Y:S,Z:S))) -> MARK(Y:S) A__FROM(X:S) -> MARK(X:S) MARK(2nd(X:S)) -> A__2ND(mark(X:S)) MARK(2nd(X:S)) -> MARK(X:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(cons1(X1:S,X2:S)) -> MARK(X1:S) MARK(cons1(X1:S,X2:S)) -> MARK(X2:S) MARK(from(X:S)) -> A__FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__2nd(cons(X:S,X1:S)) -> a__2nd(cons1(mark(X:S),mark(X1:S))) a__2nd(cons1(X:S,cons(Y:S,Z:S))) -> mark(Y:S) a__2nd(X:S) -> 2nd(X:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) mark(2nd(X:S)) -> a__2nd(mark(X:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(cons1(X1:S,X2:S)) -> cons1(mark(X1:S),mark(X2:S)) mark(from(X:S)) -> a__from(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) Problem 1: SCC Processor: -> Pairs: A__2ND(cons(X:S,X1:S)) -> A__2ND(cons1(mark(X:S),mark(X1:S))) A__2ND(cons(X:S,X1:S)) -> MARK(X:S) A__2ND(cons(X:S,X1:S)) -> MARK(X1:S) A__2ND(cons1(X:S,cons(Y:S,Z:S))) -> MARK(Y:S) A__FROM(X:S) -> MARK(X:S) MARK(2nd(X:S)) -> A__2ND(mark(X:S)) MARK(2nd(X:S)) -> MARK(X:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(cons1(X1:S,X2:S)) -> MARK(X1:S) MARK(cons1(X1:S,X2:S)) -> MARK(X2:S) MARK(from(X:S)) -> A__FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__2nd(cons(X:S,X1:S)) -> a__2nd(cons1(mark(X:S),mark(X1:S))) a__2nd(cons1(X:S,cons(Y:S,Z:S))) -> mark(Y:S) a__2nd(X:S) -> 2nd(X:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) mark(2nd(X:S)) -> a__2nd(mark(X:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(cons1(X1:S,X2:S)) -> cons1(mark(X1:S),mark(X2:S)) mark(from(X:S)) -> a__from(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A__2ND(cons(X:S,X1:S)) -> A__2ND(cons1(mark(X:S),mark(X1:S))) A__2ND(cons(X:S,X1:S)) -> MARK(X:S) A__2ND(cons(X:S,X1:S)) -> MARK(X1:S) A__2ND(cons1(X:S,cons(Y:S,Z:S))) -> MARK(Y:S) A__FROM(X:S) -> MARK(X:S) MARK(2nd(X:S)) -> A__2ND(mark(X:S)) MARK(2nd(X:S)) -> MARK(X:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(cons1(X1:S,X2:S)) -> MARK(X1:S) MARK(cons1(X1:S,X2:S)) -> MARK(X2:S) MARK(from(X:S)) -> A__FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) ->->-> Rules: a__2nd(cons(X:S,X1:S)) -> a__2nd(cons1(mark(X:S),mark(X1:S))) a__2nd(cons1(X:S,cons(Y:S,Z:S))) -> mark(Y:S) a__2nd(X:S) -> 2nd(X:S) a__from(X:S) -> cons(mark(X:S),from(s(X:S))) a__from(X:S) -> from(X:S) mark(2nd(X:S)) -> a__2nd(mark(X:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S)
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