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TRS Contextsensitive pair #487092444
details
property
value
status
complete
benchmark
cariboo_ex1.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)
0.040998 seconds
cpu usage
0.035701
user time
0.015728
system time
0.019973
max virtual memory
113188.0
max residence set size
5192.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR x) (STRATEGY CONTEXTSENSITIVE (*top*_0 1) (f_0 1) (f_1) (g_1) (a_0) (b_0) ) (RULES *top*_0(g_1(x)) -> *top*_0(f_0(g_1(x))) f_0(g_1(x)) -> f_1(f_0(g_1(x))) f_1(f_0(x)) -> b_0 f_1(f_1(x)) -> b_0 f_1(g_1(a_0)) -> a_0 g_1(x) -> f_1(g_1(x)) ) Problem 1: Dependency Pairs Processor: -> Pairs: *TOP*_0(g_1(x)) -> *TOP*_0(f_0(g_1(x))) *TOP*_0(g_1(x)) -> F_0(g_1(x)) F_0(g_1(x)) -> F_1(f_0(g_1(x))) G_1(x) -> F_1(g_1(x)) -> Rules: *top*_0(g_1(x)) -> *top*_0(f_0(g_1(x))) f_0(g_1(x)) -> f_1(f_0(g_1(x))) f_1(f_0(x)) -> b_0 f_1(f_1(x)) -> b_0 f_1(g_1(a_0)) -> a_0 g_1(x) -> f_1(g_1(x)) -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: *TOP*_0(g_1(x)) -> *TOP*_0(f_0(g_1(x))) *TOP*_0(g_1(x)) -> F_0(g_1(x)) F_0(g_1(x)) -> F_1(f_0(g_1(x))) G_1(x) -> F_1(g_1(x)) -> Rules: *top*_0(g_1(x)) -> *top*_0(f_0(g_1(x))) f_0(g_1(x)) -> f_1(f_0(g_1(x))) f_1(f_0(x)) -> b_0 f_1(f_1(x)) -> b_0 f_1(g_1(a_0)) -> a_0 g_1(x) -> f_1(g_1(x)) -> Unhiding rules: Empty ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: *TOP*_0(g_1(x)) -> *TOP*_0(f_0(g_1(x))) ->->-> Rules: *top*_0(g_1(x)) -> *top*_0(f_0(g_1(x))) f_0(g_1(x)) -> f_1(f_0(g_1(x))) f_1(f_0(x)) -> b_0 f_1(f_1(x)) -> b_0 f_1(g_1(a_0)) -> a_0 g_1(x) -> f_1(g_1(x)) ->->-> Unhiding rules: Empty Problem 1: Reduction Pairs Processor: -> Pairs: *TOP*_0(g_1(x)) -> *TOP*_0(f_0(g_1(x))) -> Rules: *top*_0(g_1(x)) -> *top*_0(f_0(g_1(x))) f_0(g_1(x)) -> f_1(f_0(g_1(x))) f_1(f_0(x)) -> b_0 f_1(f_1(x)) -> b_0 f_1(g_1(a_0)) -> a_0 g_1(x) -> f_1(g_1(x)) -> Unhiding rules: Empty -> Usable rules: f_0(g_1(x)) -> f_1(f_0(g_1(x))) f_1(f_0(x)) -> b_0 f_1(f_1(x)) -> b_0 f_1(g_1(a_0)) -> a_0 g_1(x) -> f_1(g_1(x)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation:
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