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TRS Innermost pair #487093534
details
property
value
status
complete
benchmark
ExProp7_Luc06_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.754843 seconds
cpu usage
0.681084
user time
0.529395
system time
0.151689
max virtual memory
452896.0
max residence set size
10548.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S) (RULES active(f(s(0))) -> mark(f(p(s(0)))) active(f(0)) -> mark(cons(0,f(s(0)))) active(p(s(X:S))) -> mark(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) f(active(X:S)) -> f(X:S) f(mark(X:S)) -> f(X:S) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(f(X:S)) -> active(f(mark(X:S))) mark(p(X:S)) -> active(p(mark(X:S))) mark(s(X:S)) -> active(s(mark(X:S))) mark(0) -> active(0) p(active(X:S)) -> p(X:S) p(mark(X:S)) -> p(X:S) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(f(s(0))) -> MARK(f(p(s(0)))) ACTIVE(f(0)) -> MARK(cons(0,f(s(0)))) ACTIVE(p(s(X:S))) -> MARK(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) F(active(X:S)) -> F(X:S) F(mark(X:S)) -> F(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(f(X:S)) -> ACTIVE(f(mark(X:S))) MARK(f(X:S)) -> F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) MARK(p(X:S)) -> ACTIVE(p(mark(X:S))) MARK(p(X:S)) -> MARK(X:S) MARK(p(X:S)) -> P(mark(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)) P(active(X:S)) -> P(X:S) P(mark(X:S)) -> P(X:S) S(active(X:S)) -> S(X:S) S(mark(X:S)) -> S(X:S) -> Rules: active(f(s(0))) -> mark(f(p(s(0)))) active(f(0)) -> mark(cons(0,f(s(0)))) active(p(s(X:S))) -> mark(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) f(active(X:S)) -> f(X:S) f(mark(X:S)) -> f(X:S) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(f(X:S)) -> active(f(mark(X:S))) mark(p(X:S)) -> active(p(mark(X:S))) mark(s(X:S)) -> active(s(mark(X:S))) mark(0) -> active(0) p(active(X:S)) -> p(X:S) p(mark(X:S)) -> p(X:S) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) Problem 1: SCC Processor: -> Pairs: ACTIVE(f(s(0))) -> MARK(f(p(s(0)))) ACTIVE(f(0)) -> MARK(cons(0,f(s(0)))) ACTIVE(p(s(X:S))) -> MARK(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) F(active(X:S)) -> F(X:S) F(mark(X:S)) -> F(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(f(X:S)) -> ACTIVE(f(mark(X:S))) MARK(f(X:S)) -> F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) MARK(p(X:S)) -> ACTIVE(p(mark(X:S))) MARK(p(X:S)) -> MARK(X:S) MARK(p(X:S)) -> P(mark(X:S)) MARK(s(X:S)) -> ACTIVE(s(mark(X:S))) MARK(s(X:S)) -> MARK(X:S)
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