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TRS Standard pair #487072069
details
property
value
status
complete
benchmark
Ex2_Luc03b.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Strategy_removed_CSR_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
100.952 seconds
cpu usage
100.772
user time
75.3588
system time
25.4134
max virtual memory
599076.0
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 add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) from(X:S) -> cons(X:S,from(s(X:S))) fst(0,Z:S) -> nil fst(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,fst(X:S,Z:S)) len(cons(X:S,Z:S)) -> s(len(Z:S)) len(nil) -> 0 ) Problem 1: Dependency Pairs Processor: -> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FROM(X:S) -> FROM(s(X:S)) FST(s(X:S),cons(Y:S,Z:S)) -> FST(X:S,Z:S) LEN(cons(X:S,Z:S)) -> LEN(Z:S) -> Rules: add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) from(X:S) -> cons(X:S,from(s(X:S))) fst(0,Z:S) -> nil fst(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,fst(X:S,Z:S)) len(cons(X:S,Z:S)) -> s(len(Z:S)) len(nil) -> 0 Problem 1: Infinite Processor: -> Pairs: ADD(s(X:S),Y:S) -> ADD(X:S,Y:S) FROM(X:S) -> FROM(s(X:S)) FST(s(X:S),cons(Y:S,Z:S)) -> FST(X:S,Z:S) LEN(cons(X:S,Z:S)) -> LEN(Z:S) -> Rules: add(0,X:S) -> X:S add(s(X:S),Y:S) -> s(add(X:S,Y:S)) from(X:S) -> cons(X:S,from(s(X:S))) fst(0,Z:S) -> nil fst(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,fst(X:S,Z:S)) len(cons(X:S,Z:S)) -> s(len(Z:S)) len(nil) -> 0 -> Pairs in cycle: FROM(X:S) -> FROM(s(X:S)) The problem is infinite.
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