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TRS Standard pair #487072119
details
property
value
status
complete
benchmark
Ex8_BLR02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Strategy_removed_CSR_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
60.3982 seconds
cpu usage
60.3332
user time
51.8401
system time
8.4931
max virtual memory
686500.0
max residence set size
112560.0
stage attributes
key
value
starexec-result
NO
output
NO Problem 1: (VAR v_NonEmpty:S N:S X:S XS:S Y:S) (RULES add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,fib1(Y:S,add(X:S,Y:S))) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,XS:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FIB(N:S) -> FIB1(s(0),s(0)) FIB(N:S) -> SEL(N:S,fib1(s(0),s(0))) FIB1(X:S,Y:S) -> ADD(X:S,Y:S) FIB1(X:S,Y:S) -> FIB1(Y:S,add(X:S,Y:S)) SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,XS:S) -> Rules: add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,fib1(Y:S,add(X:S,Y:S))) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,XS:S) Problem 1: Infinite Processor: -> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FIB(N:S) -> FIB1(s(0),s(0)) FIB(N:S) -> SEL(N:S,fib1(s(0),s(0))) FIB1(X:S,Y:S) -> ADD(X:S,Y:S) FIB1(X:S,Y:S) -> FIB1(Y:S,add(X:S,Y:S)) SEL(s(N:S),cons(X:S,XS:S)) -> SEL(N:S,XS:S) -> Rules: add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) fib(N:S) -> sel(N:S,fib1(s(0),s(0))) fib1(X:S,Y:S) -> cons(X:S,fib1(Y:S,add(X:S,Y:S))) sel(0,cons(X:S,XS:S)) -> X:S sel(s(N:S),cons(X:S,XS:S)) -> sel(N:S,XS:S) -> Pairs in cycle: FIB1(X:S,Y:S) -> FIB1(Y:S,add(X:S,Y:S)) The problem is infinite.
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