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TRS Context Sensitive pair #487523744
details
property
value
status
complete
benchmark
ex5.8.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Transformed_outermost_08
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.022216796875 seconds
cpu usage
0.01731807
max memory
1630208.0
stage attributes
key
value
output-size
1985
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x xs) (STRATEGY CONTEXTSENSITIVE (cons_1) (from_1) (from_2) (from_3) (from_4) (cons_0 1 2) (nil_0) (s_0 1) ) (RULES cons_1(s_0(s_0(x)),xs) -> nil_0 from_1(x) -> cons_1(x,from_1(s_0(x))) from_2(x) -> cons_0(x,from_1(s_0(x))) from_3(x) -> cons_0(x,from_2(s_0(x))) from_4(x) -> cons_0(x,from_2(s_0(x))) ) Problem 1: Innermost Equivalent Processor: -> Rules: cons_1(s_0(s_0(x)),xs) -> nil_0 from_1(x) -> cons_1(x,from_1(s_0(x))) from_2(x) -> cons_0(x,from_1(s_0(x))) from_3(x) -> cons_0(x,from_2(s_0(x))) from_4(x) -> cons_0(x,from_2(s_0(x))) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: FROM_1(x) -> CONS_1(x,from_1(s_0(x))) FROM_2(x) -> FROM_1(s_0(x)) FROM_2(x) -> x FROM_3(x) -> FROM_2(s_0(x)) FROM_3(x) -> x FROM_4(x) -> FROM_2(s_0(x)) FROM_4(x) -> x -> Rules: cons_1(s_0(s_0(x)),xs) -> nil_0 from_1(x) -> cons_1(x,from_1(s_0(x))) from_2(x) -> cons_0(x,from_1(s_0(x))) from_3(x) -> cons_0(x,from_2(s_0(x))) from_4(x) -> cons_0(x,from_2(s_0(x))) -> Unhiding Rules: from_1(s_0(x)) -> FROM_1(s_0(x)) Problem 1: SCC Processor: -> Pairs: FROM_1(x) -> CONS_1(x,from_1(s_0(x))) FROM_2(x) -> FROM_1(s_0(x)) FROM_2(x) -> x FROM_3(x) -> FROM_2(s_0(x)) FROM_3(x) -> x FROM_4(x) -> FROM_2(s_0(x)) FROM_4(x) -> x -> Rules: cons_1(s_0(s_0(x)),xs) -> nil_0 from_1(x) -> cons_1(x,from_1(s_0(x))) from_2(x) -> cons_0(x,from_1(s_0(x))) from_3(x) -> cons_0(x,from_2(s_0(x))) from_4(x) -> cons_0(x,from_2(s_0(x))) -> Unhiding rules: from_1(s_0(x)) -> FROM_1(s_0(x)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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