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TRS Contextsensitive pair #487092460
details
property
value
status
complete
benchmark
ex5.7.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Transformed_outermost_08
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0788509 seconds
cpu usage
0.071982
user time
0.030108
system time
0.041874
max virtual memory
113188.0
max residence set size
5308.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR x) (STRATEGY CONTEXTSENSITIVE (*top*_0 1) (f_0 1) (f_1) (h_1) (i_1) ) (RULES *top*_0(f_1(i_1(x))) -> *top*_0(x) f_0(f_1(i_1(x))) -> f_1(x) f_1(h_1(x)) -> f_1(i_1(x)) f_1(i_1(x)) -> x h_1(x) -> f_1(h_1(x)) i_1(x) -> h_1(x) ) Problem 1: Dependency Pairs Processor: -> Pairs: *TOP*_0(f_1(i_1(x))) -> *TOP*_0(x) *TOP*_0(f_1(i_1(x))) -> x F_0(f_1(i_1(x))) -> F_1(x) F_1(h_1(x)) -> F_1(i_1(x)) F_1(i_1(x)) -> x H_1(x) -> F_1(h_1(x)) I_1(x) -> H_1(x) -> Rules: *top*_0(f_1(i_1(x))) -> *top*_0(x) f_0(f_1(i_1(x))) -> f_1(x) f_1(h_1(x)) -> f_1(i_1(x)) f_1(i_1(x)) -> x h_1(x) -> f_1(h_1(x)) i_1(x) -> h_1(x) -> Unhiding Rules: h_1(x) -> H_1(x) i_1(x) -> I_1(x) Problem 1: SCC Processor: -> Pairs: *TOP*_0(f_1(i_1(x))) -> *TOP*_0(x) *TOP*_0(f_1(i_1(x))) -> x F_0(f_1(i_1(x))) -> F_1(x) F_1(h_1(x)) -> F_1(i_1(x)) F_1(i_1(x)) -> x H_1(x) -> F_1(h_1(x)) I_1(x) -> H_1(x) -> Rules: *top*_0(f_1(i_1(x))) -> *top*_0(x) f_0(f_1(i_1(x))) -> f_1(x) f_1(h_1(x)) -> f_1(i_1(x)) f_1(i_1(x)) -> x h_1(x) -> f_1(h_1(x)) i_1(x) -> h_1(x) -> Unhiding rules: h_1(x) -> H_1(x) i_1(x) -> I_1(x) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F_1(h_1(x)) -> F_1(i_1(x)) F_1(i_1(x)) -> x H_1(x) -> F_1(h_1(x)) I_1(x) -> H_1(x) ->->-> Rules: *top*_0(f_1(i_1(x))) -> *top*_0(x) f_0(f_1(i_1(x))) -> f_1(x) f_1(h_1(x)) -> f_1(i_1(x)) f_1(i_1(x)) -> x h_1(x) -> f_1(h_1(x)) i_1(x) -> h_1(x) ->->-> Unhiding rules: h_1(x) -> H_1(x) i_1(x) -> I_1(x) ->->Cycle: ->->-> Pairs: *TOP*_0(f_1(i_1(x))) -> *TOP*_0(x) ->->-> Rules: *top*_0(f_1(i_1(x))) -> *top*_0(x) f_0(f_1(i_1(x))) -> f_1(x) f_1(h_1(x)) -> f_1(i_1(x)) f_1(i_1(x)) -> x h_1(x) -> f_1(h_1(x)) i_1(x) -> h_1(x) ->->-> Unhiding rules: Empty The problem is decomposed in 2 subproblems. Problem 1.1: Reduction Pairs Processor:
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