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TRS Context Sensitive pair #516978802
details
property
value
status
complete
benchmark
Ex1_Luc04b.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n003.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0609829425812 seconds
cpu usage
0.017304938
max memory
1622016.0
stage attributes
key
value
output-size
1853
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR X XS) (STRATEGY CONTEXTSENSITIVE (head 1) (incr 1) (nats) (odds) (pairs) (tail 1) (0) (cons 1) (s 1) ) (RULES head(cons(X,XS)) -> X incr(cons(X,XS)) -> cons(s(X),incr(XS)) nats -> cons(0,incr(nats)) odds -> incr(pairs) pairs -> cons(0,incr(odds)) tail(cons(X,XS)) -> XS ) Problem 1: Innermost Equivalent Processor: -> Rules: head(cons(X,XS)) -> X incr(cons(X,XS)) -> cons(s(X),incr(XS)) nats -> cons(0,incr(nats)) odds -> incr(pairs) pairs -> cons(0,incr(odds)) tail(cons(X,XS)) -> XS -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: ODDS -> INCR(pairs) ODDS -> PAIRS TAIL(cons(X,XS)) -> XS -> Rules: head(cons(X,XS)) -> X incr(cons(X,XS)) -> cons(s(X),incr(XS)) nats -> cons(0,incr(nats)) odds -> incr(pairs) pairs -> cons(0,incr(odds)) tail(cons(X,XS)) -> XS -> Unhiding Rules: incr(nats) -> INCR(nats) incr(nats) -> NATS incr(odds) -> INCR(odds) incr(odds) -> ODDS incr(XS) -> INCR(XS) incr(x2) -> x2 Problem 1: SCC Processor: -> Pairs: ODDS -> INCR(pairs) ODDS -> PAIRS TAIL(cons(X,XS)) -> XS -> Rules: head(cons(X,XS)) -> X incr(cons(X,XS)) -> cons(s(X),incr(XS)) nats -> cons(0,incr(nats)) odds -> incr(pairs) pairs -> cons(0,incr(odds)) tail(cons(X,XS)) -> XS -> Unhiding rules: incr(nats) -> INCR(nats) incr(nats) -> NATS incr(odds) -> INCR(odds) incr(odds) -> ODDS incr(XS) -> INCR(XS) incr(x2) -> x2 ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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