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TRS Contextsensitive pair #487092472
details
property
value
status
complete
benchmark
f4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Transformed_outermost_08
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.143109 seconds
cpu usage
0.128972
user time
0.054446
system time
0.074526
max virtual memory
113188.0
max residence set size
5348.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR x) (STRATEGY CONTEXTSENSITIVE (*top*_0 1) (f_0 1) (f_1) (a_1) (c_0) ) (RULES *top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1)))) *top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1))) *top*_0(a_1) -> *top*_0(f_0(a_1)) f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1)))) f_1(f_0(f_0(f_0(x)))) -> c_0 f_1(f_1(f_0(f_0(x)))) -> c_0 f_1(f_1(f_1(f_0(x)))) -> c_0 f_1(f_1(f_1(f_1(x)))) -> c_0 ) Problem 1: Dependency Pairs Processor: -> Pairs: *TOP*_0(f_0(f_0(a_1))) -> *TOP*_0(f_0(f_0(f_0(a_1)))) *TOP*_0(f_0(f_0(a_1))) -> F_0(f_0(f_0(a_1))) *TOP*_0(f_0(a_1)) -> *TOP*_0(f_0(f_0(a_1))) *TOP*_0(a_1) -> *TOP*_0(f_0(a_1)) F_0(f_0(f_0(a_1))) -> F_1(f_0(f_0(f_0(a_1)))) -> Rules: *top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1)))) *top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1))) *top*_0(a_1) -> *top*_0(f_0(a_1)) f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1)))) f_1(f_0(f_0(f_0(x)))) -> c_0 f_1(f_1(f_0(f_0(x)))) -> c_0 f_1(f_1(f_1(f_0(x)))) -> c_0 f_1(f_1(f_1(f_1(x)))) -> c_0 -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: *TOP*_0(f_0(f_0(a_1))) -> *TOP*_0(f_0(f_0(f_0(a_1)))) *TOP*_0(f_0(f_0(a_1))) -> F_0(f_0(f_0(a_1))) *TOP*_0(f_0(a_1)) -> *TOP*_0(f_0(f_0(a_1))) *TOP*_0(a_1) -> *TOP*_0(f_0(a_1)) F_0(f_0(f_0(a_1))) -> F_1(f_0(f_0(f_0(a_1)))) -> Rules: *top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1)))) *top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1))) *top*_0(a_1) -> *top*_0(f_0(a_1)) f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1)))) f_1(f_0(f_0(f_0(x)))) -> c_0 f_1(f_1(f_0(f_0(x)))) -> c_0 f_1(f_1(f_1(f_0(x)))) -> c_0 f_1(f_1(f_1(f_1(x)))) -> c_0 -> Unhiding rules: Empty ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: *TOP*_0(f_0(f_0(a_1))) -> *TOP*_0(f_0(f_0(f_0(a_1)))) *TOP*_0(f_0(a_1)) -> *TOP*_0(f_0(f_0(a_1))) *TOP*_0(a_1) -> *TOP*_0(f_0(a_1)) ->->-> Rules: *top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1)))) *top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1))) *top*_0(a_1) -> *top*_0(f_0(a_1)) f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1)))) f_1(f_0(f_0(f_0(x)))) -> c_0 f_1(f_1(f_0(f_0(x)))) -> c_0 f_1(f_1(f_1(f_0(x)))) -> c_0 f_1(f_1(f_1(f_1(x)))) -> c_0 ->->-> Unhiding rules: Empty Problem 1: Reduction Pairs Processor: -> Pairs: *TOP*_0(f_0(f_0(a_1))) -> *TOP*_0(f_0(f_0(f_0(a_1)))) *TOP*_0(f_0(a_1)) -> *TOP*_0(f_0(f_0(a_1))) *TOP*_0(a_1) -> *TOP*_0(f_0(a_1)) -> Rules: *top*_0(f_0(f_0(a_1))) -> *top*_0(f_0(f_0(f_0(a_1)))) *top*_0(f_0(a_1)) -> *top*_0(f_0(f_0(a_1))) *top*_0(a_1) -> *top*_0(f_0(a_1)) f_0(f_0(f_0(a_1))) -> f_1(f_0(f_0(f_0(a_1)))) f_1(f_0(f_0(f_0(x)))) -> c_0 f_1(f_1(f_0(f_0(x)))) -> c_0 f_1(f_1(f_1(f_0(x)))) -> c_0 f_1(f_1(f_1(f_1(x)))) -> c_0 -> Unhiding rules: Empty
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