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TRS Contextsensitive pair #487092448
details
property
value
status
complete
benchmark
ex5.5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
Transformed_outermost_08
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.172334 seconds
cpu usage
0.189736
user time
0.093712
system time
0.096024
max virtual memory
113188.0
max residence set size
5884.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR x x0 y z) (STRATEGY CONTEXTSENSITIVE (*top*_0 1) (f_0 1 2) (f_1) (a_1) (c_0) ) (RULES *top*_0(a_1) -> *top*_0(f_0(a_1,a_1)) f_0(a_1,x0) -> f_1(f_0(a_1,a_1),x0) f_0(x0,a_1) -> f_1(x0,f_0(a_1,a_1)) f_1(f_0(x,y),z) -> c_0 f_1(f_1(x,y),z) -> c_0 f_1(x,f_0(y,z)) -> f_1(f_0(x,y),z) f_1(x,f_0(y,z)) -> f_1(f_1(x,y),z) f_1(x,f_1(y,z)) -> f_1(f_0(x,y),z) f_1(x,f_1(y,z)) -> f_1(f_1(x,y),z) ) Problem 1: Dependency Pairs Processor: -> Pairs: *TOP*_0(a_1) -> *TOP*_0(f_0(a_1,a_1)) *TOP*_0(a_1) -> F_0(a_1,a_1) F_0(a_1,x0) -> F_1(f_0(a_1,a_1),x0) F_0(x0,a_1) -> F_1(x0,f_0(a_1,a_1)) F_1(x,f_0(y,z)) -> F_1(f_0(x,y),z) F_1(x,f_0(y,z)) -> F_1(f_1(x,y),z) F_1(x,f_1(y,z)) -> F_1(f_0(x,y),z) F_1(x,f_1(y,z)) -> F_1(f_1(x,y),z) -> Rules: *top*_0(a_1) -> *top*_0(f_0(a_1,a_1)) f_0(a_1,x0) -> f_1(f_0(a_1,a_1),x0) f_0(x0,a_1) -> f_1(x0,f_0(a_1,a_1)) f_1(f_0(x,y),z) -> c_0 f_1(f_1(x,y),z) -> c_0 f_1(x,f_0(y,z)) -> f_1(f_0(x,y),z) f_1(x,f_0(y,z)) -> f_1(f_1(x,y),z) f_1(x,f_1(y,z)) -> f_1(f_0(x,y),z) f_1(x,f_1(y,z)) -> f_1(f_1(x,y),z) -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: *TOP*_0(a_1) -> *TOP*_0(f_0(a_1,a_1)) *TOP*_0(a_1) -> F_0(a_1,a_1) F_0(a_1,x0) -> F_1(f_0(a_1,a_1),x0) F_0(x0,a_1) -> F_1(x0,f_0(a_1,a_1)) F_1(x,f_0(y,z)) -> F_1(f_0(x,y),z) F_1(x,f_0(y,z)) -> F_1(f_1(x,y),z) F_1(x,f_1(y,z)) -> F_1(f_0(x,y),z) F_1(x,f_1(y,z)) -> F_1(f_1(x,y),z) -> Rules: *top*_0(a_1) -> *top*_0(f_0(a_1,a_1)) f_0(a_1,x0) -> f_1(f_0(a_1,a_1),x0) f_0(x0,a_1) -> f_1(x0,f_0(a_1,a_1)) f_1(f_0(x,y),z) -> c_0 f_1(f_1(x,y),z) -> c_0 f_1(x,f_0(y,z)) -> f_1(f_0(x,y),z) f_1(x,f_0(y,z)) -> f_1(f_1(x,y),z) f_1(x,f_1(y,z)) -> f_1(f_0(x,y),z) f_1(x,f_1(y,z)) -> f_1(f_1(x,y),z) -> Unhiding rules: Empty ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F_1(x,f_0(y,z)) -> F_1(f_0(x,y),z) F_1(x,f_0(y,z)) -> F_1(f_1(x,y),z) F_1(x,f_1(y,z)) -> F_1(f_0(x,y),z) F_1(x,f_1(y,z)) -> F_1(f_1(x,y),z) ->->-> Rules: *top*_0(a_1) -> *top*_0(f_0(a_1,a_1)) f_0(a_1,x0) -> f_1(f_0(a_1,a_1),x0) f_0(x0,a_1) -> f_1(x0,f_0(a_1,a_1)) f_1(f_0(x,y),z) -> c_0 f_1(f_1(x,y),z) -> c_0 f_1(x,f_0(y,z)) -> f_1(f_0(x,y),z) f_1(x,f_0(y,z)) -> f_1(f_1(x,y),z) f_1(x,f_1(y,z)) -> f_1(f_0(x,y),z) f_1(x,f_1(y,z)) -> f_1(f_1(x,y),z) ->->-> Unhiding rules: Empty ->->Cycle: ->->-> Pairs: *TOP*_0(a_1) -> *TOP*_0(f_0(a_1,a_1)) ->->-> Rules: *top*_0(a_1) -> *top*_0(f_0(a_1,a_1)) f_0(a_1,x0) -> f_1(f_0(a_1,a_1),x0) f_0(x0,a_1) -> f_1(x0,f_0(a_1,a_1)) f_1(f_0(x,y),z) -> c_0
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