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TRS_Contextsensitive 2019-03-21 05.07 pair #429997048
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
n142.star.cs.uiowa.edu
space
Transformed_outermost_08
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.016287 seconds
cpu usage
0.016738
user time
0.009661
system time
0.007077
max virtual memory
113176.0
max residence set size
4948.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.01 YES 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 (VAR x xs) 0.00/0.01 (STRATEGY CONTEXTSENSITIVE 0.00/0.01 (cons_1) 0.00/0.01 (from_1) 0.00/0.01 (from_2) 0.00/0.01 (from_3) 0.00/0.01 (from_4) 0.00/0.01 (cons_0 1 2) 0.00/0.01 (nil_0) 0.00/0.01 (s_0 1) 0.00/0.01 ) 0.00/0.01 (RULES 0.00/0.01 cons_1(s_0(s_0(x)),xs) -> nil_0 0.00/0.01 from_1(x) -> cons_1(x,from_1(s_0(x))) 0.00/0.01 from_2(x) -> cons_0(x,from_1(s_0(x))) 0.00/0.01 from_3(x) -> cons_0(x,from_2(s_0(x))) 0.00/0.01 from_4(x) -> cons_0(x,from_2(s_0(x))) 0.00/0.01 ) 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 Innermost Equivalent Processor: 0.00/0.01 -> Rules: 0.00/0.01 cons_1(s_0(s_0(x)),xs) -> nil_0 0.00/0.01 from_1(x) -> cons_1(x,from_1(s_0(x))) 0.00/0.01 from_2(x) -> cons_0(x,from_1(s_0(x))) 0.00/0.01 from_3(x) -> cons_0(x,from_2(s_0(x))) 0.00/0.01 from_4(x) -> cons_0(x,from_2(s_0(x))) 0.00/0.01 -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. 0.00/0.01 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 Dependency Pairs Processor: 0.00/0.01 -> Pairs: 0.00/0.01 FROM_1(x) -> CONS_1(x,from_1(s_0(x))) 0.00/0.01 FROM_2(x) -> FROM_1(s_0(x)) 0.00/0.01 FROM_2(x) -> x 0.00/0.01 FROM_3(x) -> FROM_2(s_0(x)) 0.00/0.01 FROM_3(x) -> x 0.00/0.01 FROM_4(x) -> FROM_2(s_0(x)) 0.00/0.01 FROM_4(x) -> x 0.00/0.01 -> Rules: 0.00/0.01 cons_1(s_0(s_0(x)),xs) -> nil_0 0.00/0.01 from_1(x) -> cons_1(x,from_1(s_0(x))) 0.00/0.01 from_2(x) -> cons_0(x,from_1(s_0(x))) 0.00/0.01 from_3(x) -> cons_0(x,from_2(s_0(x))) 0.00/0.01 from_4(x) -> cons_0(x,from_2(s_0(x))) 0.00/0.01 -> Unhiding Rules: 0.00/0.01 from_1(s_0(x)) -> FROM_1(s_0(x)) 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 SCC Processor: 0.00/0.01 -> Pairs: 0.00/0.01 FROM_1(x) -> CONS_1(x,from_1(s_0(x))) 0.00/0.01 FROM_2(x) -> FROM_1(s_0(x)) 0.00/0.01 FROM_2(x) -> x 0.00/0.01 FROM_3(x) -> FROM_2(s_0(x)) 0.00/0.01 FROM_3(x) -> x 0.00/0.01 FROM_4(x) -> FROM_2(s_0(x)) 0.00/0.01 FROM_4(x) -> x 0.00/0.01 -> Rules: 0.00/0.01 cons_1(s_0(s_0(x)),xs) -> nil_0 0.00/0.01 from_1(x) -> cons_1(x,from_1(s_0(x))) 0.00/0.01 from_2(x) -> cons_0(x,from_1(s_0(x))) 0.00/0.01 from_3(x) -> cons_0(x,from_2(s_0(x))) 0.00/0.01 from_4(x) -> cons_0(x,from_2(s_0(x))) 0.00/0.01 -> Unhiding rules: 0.00/0.01 from_1(s_0(x)) -> FROM_1(s_0(x)) 0.00/0.01 ->Strongly Connected Components: 0.00/0.01 There is no strongly connected component 0.00/0.01 0.00/0.01 The problem is finite. 0.00/0.01 EOF
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