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TRS Standard pair #487072104
details
property
value
status
complete
benchmark
Ex3_2_Luc97.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n190.star.cs.uiowa.edu
space
Strategy_removed_CSR_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
100.833 seconds
cpu usage
120.62
user time
88.1064
system time
32.5131
max virtual memory
599080.0
max residence set size
8348.0
stage attributes
key
value
starexec-result
NO
output
NO Problem 1: (VAR v_NonEmpty:S X:S Y:S Z:S) (RULES dbl(0) -> 0 dbl(s(X:S)) -> s(s(dbl(X:S))) dbls(cons(X:S,Y:S)) -> cons(dbl(X:S),dbls(Y:S)) dbls(nil) -> nil from(X:S) -> cons(X:S,from(s(X:S))) indx(cons(X:S,Y:S),Z:S) -> cons(sel(X:S,Z:S),indx(Y:S,Z:S)) indx(nil,X:S) -> nil sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,Z:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: DBL(s(X:S)) -> DBL(X:S) DBLS(cons(X:S,Y:S)) -> DBL(X:S) DBLS(cons(X:S,Y:S)) -> DBLS(Y:S) FROM(X:S) -> FROM(s(X:S)) INDX(cons(X:S,Y:S),Z:S) -> INDX(Y:S,Z:S) INDX(cons(X:S,Y:S),Z:S) -> SEL(X:S,Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,Z:S) -> Rules: dbl(0) -> 0 dbl(s(X:S)) -> s(s(dbl(X:S))) dbls(cons(X:S,Y:S)) -> cons(dbl(X:S),dbls(Y:S)) dbls(nil) -> nil from(X:S) -> cons(X:S,from(s(X:S))) indx(cons(X:S,Y:S),Z:S) -> cons(sel(X:S,Z:S),indx(Y:S,Z:S)) indx(nil,X:S) -> nil sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,Z:S) Problem 1: Infinite Processor: -> Pairs: DBL(s(X:S)) -> DBL(X:S) DBLS(cons(X:S,Y:S)) -> DBL(X:S) DBLS(cons(X:S,Y:S)) -> DBLS(Y:S) FROM(X:S) -> FROM(s(X:S)) INDX(cons(X:S,Y:S),Z:S) -> INDX(Y:S,Z:S) INDX(cons(X:S,Y:S),Z:S) -> SEL(X:S,Z:S) SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,Z:S) -> Rules: dbl(0) -> 0 dbl(s(X:S)) -> s(s(dbl(X:S))) dbls(cons(X:S,Y:S)) -> cons(dbl(X:S),dbls(Y:S)) dbls(nil) -> nil from(X:S) -> cons(X:S,from(s(X:S))) indx(cons(X:S,Y:S),Z:S) -> cons(sel(X:S,Z:S),indx(Y:S,Z:S)) indx(nil,X:S) -> nil sel(0,cons(X:S,Y:S)) -> X:S sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,Z:S) -> Pairs in cycle: FROM(X:S) -> FROM(s(X:S)) The problem is infinite.
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