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TRS_Contextsensitive 2019-03-21 05.07 pair #429997042
details
property
value
status
complete
benchmark
ex5.6.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
Transformed_outermost_08
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0475349 seconds
cpu usage
0.0315
user time
0.016624
system time
0.014876
max virtual memory
113176.0
max residence set size
4432.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.02 YES 0.00/0.02 0.00/0.02 Problem 1: 0.00/0.02 0.00/0.02 (VAR x y) 0.00/0.02 (STRATEGY CONTEXTSENSITIVE 0.00/0.02 (f_1) 0.00/0.02 (g_1) 0.00/0.02 (a_0) 0.00/0.02 (i_0 1) 0.00/0.02 ) 0.00/0.02 (RULES 0.00/0.02 f_1(x,i_0(g_1(x))) -> a_0 0.00/0.02 f_1(x,i_0(x)) -> f_1(x,x) 0.00/0.02 f_1(x,x) -> f_1(i_0(x),g_1(g_1(x))) 0.00/0.02 f_1(x,y) -> x 0.00/0.02 g_1(x) -> i_0(x) 0.00/0.02 ) 0.00/0.02 0.00/0.02 Problem 1: 0.00/0.02 0.00/0.02 Dependency Pairs Processor: 0.00/0.02 -> Pairs: 0.00/0.02 F_1(x,i_0(x)) -> F_1(x,x) 0.00/0.02 F_1(x,x) -> F_1(i_0(x),g_1(g_1(x))) 0.00/0.02 F_1(x,y) -> x 0.00/0.02 G_1(x) -> x 0.00/0.02 -> Rules: 0.00/0.02 f_1(x,i_0(g_1(x))) -> a_0 0.00/0.02 f_1(x,i_0(x)) -> f_1(x,x) 0.00/0.02 f_1(x,x) -> f_1(i_0(x),g_1(g_1(x))) 0.00/0.02 f_1(x,y) -> x 0.00/0.02 g_1(x) -> i_0(x) 0.00/0.02 -> Unhiding Rules: 0.00/0.02 g_1(g_1(x)) -> G_1(g_1(x)) 0.00/0.02 i_0(x2) -> x2 0.00/0.02 0.00/0.02 Problem 1: 0.00/0.02 0.00/0.02 SCC Processor: 0.00/0.02 -> Pairs: 0.00/0.02 F_1(x,i_0(x)) -> F_1(x,x) 0.00/0.02 F_1(x,x) -> F_1(i_0(x),g_1(g_1(x))) 0.00/0.02 F_1(x,y) -> x 0.00/0.02 G_1(x) -> x 0.00/0.02 -> Rules: 0.00/0.02 f_1(x,i_0(g_1(x))) -> a_0 0.00/0.02 f_1(x,i_0(x)) -> f_1(x,x) 0.00/0.02 f_1(x,x) -> f_1(i_0(x),g_1(g_1(x))) 0.00/0.02 f_1(x,y) -> x 0.00/0.02 g_1(x) -> i_0(x) 0.00/0.02 -> Unhiding rules: 0.00/0.02 g_1(g_1(x)) -> G_1(g_1(x)) 0.00/0.02 i_0(x2) -> x2 0.00/0.02 ->Strongly Connected Components: 0.00/0.02 ->->Cycle: 0.00/0.02 ->->-> Pairs: 0.00/0.02 G_1(x) -> x 0.00/0.02 ->->-> Rules: 0.00/0.02 f_1(x,i_0(g_1(x))) -> a_0 0.00/0.02 f_1(x,i_0(x)) -> f_1(x,x) 0.00/0.02 f_1(x,x) -> f_1(i_0(x),g_1(g_1(x))) 0.00/0.02 f_1(x,y) -> x 0.00/0.02 g_1(x) -> i_0(x) 0.00/0.02 ->->-> Unhiding rules: 0.00/0.02 g_1(g_1(x)) -> G_1(g_1(x)) 0.00/0.02 i_0(x2) -> x2 0.00/0.02 0.00/0.02 Problem 1: 0.00/0.02 0.00/0.02 Reduction Pairs Processor: 0.00/0.02 -> Pairs: 0.00/0.02 G_1(x) -> x 0.00/0.02 -> Rules: 0.00/0.02 f_1(x,i_0(g_1(x))) -> a_0 0.00/0.02 f_1(x,i_0(x)) -> f_1(x,x) 0.00/0.02 f_1(x,x) -> f_1(i_0(x),g_1(g_1(x))) 0.00/0.02 f_1(x,y) -> x 0.00/0.02 g_1(x) -> i_0(x) 0.00/0.02 -> Unhiding rules: 0.00/0.02 g_1(g_1(x)) -> G_1(g_1(x)) 0.00/0.02 i_0(x2) -> x2 0.00/0.02 -> Usable rules: 0.00/0.02 g_1(x) -> i_0(x) 0.00/0.02 ->Interpretation type: 0.00/0.02 Linear 0.00/0.02 ->Coefficients: 0.00/0.02 Natural Numbers 0.00/0.02 ->Dimension: 0.00/0.02 1 0.00/0.02 ->Bound: 0.00/0.02 2 0.00/0.02 ->Interpretation: 0.00/0.02 0.00/0.02 [g_1](X) = 2.X + 2 0.00/0.02 [i_0](X) = 2.X 0.00/0.02 [G_1](X) = 2.X + 2 0.00/0.02 0.00/0.02 Problem 1: 0.00/0.02
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