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TRS Standard pair #487072064
details
property
value
status
complete
benchmark
ExIntrod_GM99.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
Strategy_removed_CSR_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
78.1618 seconds
cpu usage
82.6457
user time
71.5912
system time
11.0544
max virtual memory
883276.0
max residence set size
158168.0
stage attributes
key
value
starexec-result
NO
output
NO Problem 1: (VAR v_NonEmpty:S X:S Y:S Z:S) (RULES filter(s(s(X:S)),cons(Y:S,Z:S)) -> if(divides(s(s(X:S)),Y:S),filter(s(s(X:S)),Z:S),cons(Y:S,filter(X:S,sieve(Y:S)))) from(X:S) -> cons(X:S,from(s(X:S))) head(cons(X:S,Y:S)) -> X:S if(ffalse,X:S,Y:S) -> Y:S if(ttrue,X:S,Y:S) -> X:S primes -> sieve(from(s(s(0)))) sieve(cons(X:S,Y:S)) -> cons(X:S,filter(X:S,sieve(Y:S))) tail(cons(X:S,Y:S)) -> Y:S ) Problem 1: Dependency Pairs Processor: -> Pairs: FILTER(s(s(X:S)),cons(Y:S,Z:S)) -> FILTER(s(s(X:S)),Z:S) FILTER(s(s(X:S)),cons(Y:S,Z:S)) -> FILTER(X:S,sieve(Y:S)) FILTER(s(s(X:S)),cons(Y:S,Z:S)) -> IF(divides(s(s(X:S)),Y:S),filter(s(s(X:S)),Z:S),cons(Y:S,filter(X:S,sieve(Y:S)))) FILTER(s(s(X:S)),cons(Y:S,Z:S)) -> SIEVE(Y:S) FROM(X:S) -> FROM(s(X:S)) PRIMES -> FROM(s(s(0))) PRIMES -> SIEVE(from(s(s(0)))) SIEVE(cons(X:S,Y:S)) -> FILTER(X:S,sieve(Y:S)) SIEVE(cons(X:S,Y:S)) -> SIEVE(Y:S) -> Rules: filter(s(s(X:S)),cons(Y:S,Z:S)) -> if(divides(s(s(X:S)),Y:S),filter(s(s(X:S)),Z:S),cons(Y:S,filter(X:S,sieve(Y:S)))) from(X:S) -> cons(X:S,from(s(X:S))) head(cons(X:S,Y:S)) -> X:S if(ffalse,X:S,Y:S) -> Y:S if(ttrue,X:S,Y:S) -> X:S primes -> sieve(from(s(s(0)))) sieve(cons(X:S,Y:S)) -> cons(X:S,filter(X:S,sieve(Y:S))) tail(cons(X:S,Y:S)) -> Y:S Problem 1: Infinite Processor: -> Pairs: FILTER(s(s(X:S)),cons(Y:S,Z:S)) -> FILTER(s(s(X:S)),Z:S) FILTER(s(s(X:S)),cons(Y:S,Z:S)) -> FILTER(X:S,sieve(Y:S)) FILTER(s(s(X:S)),cons(Y:S,Z:S)) -> IF(divides(s(s(X:S)),Y:S),filter(s(s(X:S)),Z:S),cons(Y:S,filter(X:S,sieve(Y:S)))) FILTER(s(s(X:S)),cons(Y:S,Z:S)) -> SIEVE(Y:S) FROM(X:S) -> FROM(s(X:S)) PRIMES -> FROM(s(s(0))) PRIMES -> SIEVE(from(s(s(0)))) SIEVE(cons(X:S,Y:S)) -> FILTER(X:S,sieve(Y:S)) SIEVE(cons(X:S,Y:S)) -> SIEVE(Y:S) -> Rules: filter(s(s(X:S)),cons(Y:S,Z:S)) -> if(divides(s(s(X:S)),Y:S),filter(s(s(X:S)),Z:S),cons(Y:S,filter(X:S,sieve(Y:S)))) from(X:S) -> cons(X:S,from(s(X:S))) head(cons(X:S,Y:S)) -> X:S if(ffalse,X:S,Y:S) -> Y:S if(ttrue,X:S,Y:S) -> X:S primes -> sieve(from(s(s(0)))) sieve(cons(X:S,Y:S)) -> cons(X:S,filter(X:S,sieve(Y:S))) tail(cons(X:S,Y:S)) -> Y:S -> Pairs in cycle: FROM(X:S) -> FROM(s(X:S)) The problem is infinite.
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