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TRS Innermost pair #487093028
details
property
value
status
complete
benchmark
Ex14_AEGL02_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.809994 seconds
cpu usage
0.728529
user time
0.527804
system time
0.200725
max virtual memory
706924.0
max residence set size
10932.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S Y:S) (RULES active(from(X:S)) -> mark(cons(X:S,from(s(X:S)))) active(length(cons(X:S,Y:S))) -> mark(s(length1(Y:S))) active(length(nil)) -> mark(0) active(length1(X:S)) -> mark(length(X:S)) cons(active(X1:S),X2:S) -> cons(X1:S,X2:S) cons(mark(X1:S),X2:S) -> cons(X1:S,X2:S) cons(X1:S,active(X2:S)) -> cons(X1:S,X2:S) cons(X1:S,mark(X2:S)) -> cons(X1:S,X2:S) from(active(X:S)) -> from(X:S) from(mark(X:S)) -> from(X:S) length(active(X:S)) -> length(X:S) length(mark(X:S)) -> length(X:S) length1(active(X:S)) -> length1(X:S) length1(mark(X:S)) -> length1(X:S) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(from(X:S)) -> active(from(mark(X:S))) mark(length(X:S)) -> active(length(X:S)) mark(length1(X:S)) -> active(length1(X:S)) mark(s(X:S)) -> active(s(mark(X:S))) mark(0) -> active(0) mark(nil) -> active(nil) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(from(X:S)) -> CONS(X:S,from(s(X:S))) ACTIVE(from(X:S)) -> FROM(s(X:S)) ACTIVE(from(X:S)) -> MARK(cons(X:S,from(s(X:S)))) ACTIVE(from(X:S)) -> S(X:S) ACTIVE(length(cons(X:S,Y:S))) -> LENGTH1(Y:S) ACTIVE(length(cons(X:S,Y:S))) -> MARK(s(length1(Y:S))) ACTIVE(length(cons(X:S,Y:S))) -> S(length1(Y:S)) ACTIVE(length(nil)) -> MARK(0) ACTIVE(length1(X:S)) -> LENGTH(X:S) ACTIVE(length1(X:S)) -> MARK(length(X:S)) CONS(active(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(X1:S,active(X2:S)) -> CONS(X1:S,X2:S) CONS(X1:S,mark(X2:S)) -> CONS(X1:S,X2:S) FROM(active(X:S)) -> FROM(X:S) FROM(mark(X:S)) -> FROM(X:S) LENGTH(active(X:S)) -> LENGTH(X:S) LENGTH(mark(X:S)) -> LENGTH(X:S) LENGTH1(active(X:S)) -> LENGTH1(X:S) LENGTH1(mark(X:S)) -> LENGTH1(X:S) MARK(cons(X1:S,X2:S)) -> ACTIVE(cons(mark(X1:S),X2:S)) MARK(cons(X1:S,X2:S)) -> CONS(mark(X1:S),X2:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(from(X:S)) -> ACTIVE(from(mark(X:S))) MARK(from(X:S)) -> FROM(mark(X:S)) MARK(from(X:S)) -> MARK(X:S) MARK(length(X:S)) -> ACTIVE(length(X:S)) MARK(length1(X:S)) -> ACTIVE(length1(X:S)) MARK(s(X:S)) -> ACTIVE(s(mark(X:S))) MARK(s(X:S)) -> MARK(X:S) MARK(s(X:S)) -> S(mark(X:S)) S(active(X:S)) -> S(X:S) S(mark(X:S)) -> S(X:S) -> Rules: active(from(X:S)) -> mark(cons(X:S,from(s(X:S)))) active(length(cons(X:S,Y:S))) -> mark(s(length1(Y:S))) active(length(nil)) -> mark(0) active(length1(X:S)) -> mark(length(X:S)) cons(active(X1:S),X2:S) -> cons(X1:S,X2:S) cons(mark(X1:S),X2:S) -> cons(X1:S,X2:S) cons(X1:S,active(X2:S)) -> cons(X1:S,X2:S) cons(X1:S,mark(X2:S)) -> cons(X1:S,X2:S) from(active(X:S)) -> from(X:S) from(mark(X:S)) -> from(X:S) length(active(X:S)) -> length(X:S) length(mark(X:S)) -> length(X:S) length1(active(X:S)) -> length1(X:S) length1(mark(X:S)) -> length1(X:S) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(from(X:S)) -> active(from(mark(X:S))) mark(length(X:S)) -> active(length(X:S)) mark(length1(X:S)) -> active(length1(X:S)) mark(s(X:S)) -> active(s(mark(X:S))) mark(0) -> active(0) mark(nil) -> active(nil) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) Problem 1: SCC Processor: -> Pairs: ACTIVE(from(X:S)) -> CONS(X:S,from(s(X:S))) ACTIVE(from(X:S)) -> FROM(s(X:S))
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