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TRS Contextsensitive pair #487092464
details
property
value
status
complete
benchmark
cariboo_ex4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Transformed_outermost_08
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0349751 seconds
cpu usage
0.029367
user time
0.008263
system time
0.021104
max virtual memory
113188.0
max residence set size
4148.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR x) (STRATEGY CONTEXTSENSITIVE (f_1) (i_1) (a_0) (h_0 1) ) (RULES f_1(i_1(x)) -> a_0 f_1(h_0(x)) -> f_1(i_1(x)) i_1(x) -> h_0(x) ) Problem 1: Dependency Pairs Processor: -> Pairs: F_1(h_0(x)) -> F_1(i_1(x)) I_1(x) -> x -> Rules: f_1(i_1(x)) -> a_0 f_1(h_0(x)) -> f_1(i_1(x)) i_1(x) -> h_0(x) -> Unhiding Rules: i_1(x) -> I_1(x) Problem 1: SCC Processor: -> Pairs: F_1(h_0(x)) -> F_1(i_1(x)) I_1(x) -> x -> Rules: f_1(i_1(x)) -> a_0 f_1(h_0(x)) -> f_1(i_1(x)) i_1(x) -> h_0(x) -> Unhiding rules: i_1(x) -> I_1(x) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: I_1(x) -> x ->->-> Rules: f_1(i_1(x)) -> a_0 f_1(h_0(x)) -> f_1(i_1(x)) i_1(x) -> h_0(x) ->->-> Unhiding rules: i_1(x) -> I_1(x) Problem 1: Reduction Pairs Processor: -> Pairs: I_1(x) -> x -> Rules: f_1(i_1(x)) -> a_0 f_1(h_0(x)) -> f_1(i_1(x)) i_1(x) -> h_0(x) -> Unhiding rules: i_1(x) -> I_1(x) -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [i_1](X) = 2.X + 2 [I_1](X) = 2.X + 2 Problem 1: Basic Processor: -> Pairs: Empty -> Rules: f_1(i_1(x)) -> a_0 f_1(h_0(x)) -> f_1(i_1(x)) i_1(x) -> h_0(x) -> Unhiding rules: i_1(x) -> I_1(x) -> Result: Set P is empty The problem is finite.
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