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TRS Contextsensitive pair #487092508
details
property
value
status
complete
benchmark
Ex1_2_Luc02c.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.013512 seconds
cpu usage
0.013997
user time
0.003094
system time
0.010903
max virtual memory
113188.0
max residence set size
3556.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR X Y Z) (STRATEGY CONTEXTSENSITIVE (2nd 1) (from 1) (cons 1) (s 1) ) (RULES 2nd(cons(X,cons(Y,Z))) -> Y from(X) -> cons(X,from(s(X))) ) Problem 1: Innermost Equivalent Processor: -> Rules: 2nd(cons(X,cons(Y,Z))) -> Y from(X) -> cons(X,from(s(X))) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: 2ND(cons(X,cons(Y,Z))) -> Y -> Rules: 2nd(cons(X,cons(Y,Z))) -> Y from(X) -> cons(X,from(s(X))) -> Unhiding Rules: from(s(X)) -> FROM(s(X)) Problem 1: SCC Processor: -> Pairs: 2ND(cons(X,cons(Y,Z))) -> Y -> Rules: 2nd(cons(X,cons(Y,Z))) -> Y from(X) -> cons(X,from(s(X))) -> Unhiding rules: from(s(X)) -> FROM(s(X)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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