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TRS Innermost pair #487093486
details
property
value
status
complete
benchmark
Ex1_2_Luc02c_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.540062 seconds
cpu usage
0.400063
user time
0.25552
system time
0.144543
max virtual memory
113188.0
max residence set size
5876.0
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,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(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,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(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,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(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,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(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,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(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,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(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,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(from(X:S)) -> a__from(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) Problem 1: Reduction Pairs Processor: -> Pairs: A__2ND(cons(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(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,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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