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TRS Standard pair #487073691
details
property
value
status
complete
benchmark
Ex8Polymorphic.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.056897 seconds
cpu usage
0.027017
user time
0.014291
system time
0.012726
max virtual memory
113188.0
max residence set size
6988.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: app(app(twice(),f),x) -> app(f,app(f,x)) 2: app(app(map(),f),nil()) -> nil() 3: app(app(map(),f),app(app(cons(),h),t)) -> app(app(cons(),app(f,h)),app(app(map(),f),t)) 4: app(app(fmap(),nil()),x) -> nil() 5: app(app(fmap(),app(app(cons(),f),t_f())),x) -> app(app(cons(),app(f,x)),app(app(fmap(),t_f()),x)) Number of strict rules: 5 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_twice(f,x) -> app(f,app(f,x)) 2: app^2_map(f,nil()) -> nil() 3: app^2_map(f,app^2_cons(h,t)) -> app^2_cons(app(f,h),app^2_map(f,t)) 4: app^2_fmap(nil(),x) -> nil() 5: app^2_fmap(app^2_cons(f,t_f()),x) -> app^2_cons(app(f,x),app^2_fmap(t_f(),x)) 6: app(fmap(),_1) ->= app^1_fmap(_1) 7: app(app^1_fmap(_1),_2) ->= app^2_fmap(_1,_2) 8: app(cons(),_1) ->= app^1_cons(_1) 9: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 10: app(twice(),_1) ->= app^1_twice(_1) 11: app(app^1_twice(_1),_2) ->= app^2_twice(_1,_2) 12: app(map(),_1) ->= app^1_map(_1) 13: app(app^1_map(_1),_2) ->= app^2_map(_1,_2) Number of strict rules: 5 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2) #2: #app(app^1_twice(_1),_2) ->? #app^2_twice(_1,_2) #3: #app(app^1_fmap(_1),_2) ->? #app^2_fmap(_1,_2) #4: #app^2_fmap(app^2_cons(f,t_f()),x) -> #app(f,x) #5: #app^2_fmap(app^2_cons(f,t_f()),x) -> #app^2_fmap(t_f(),x) #6: #app^2_map(f,app^2_cons(h,t)) -> #app(f,h) #7: #app^2_map(f,app^2_cons(h,t)) -> #app^2_map(f,t) #8: #app^2_twice(f,x) -> #app(f,app(f,x)) #9: #app^2_twice(f,x) -> #app(f,x) Number of SCCs: 1, DPs: 8 SCC { #1..4 #6..9 } POLO(Sum)... succeeded. t_f w: 1 app^1_twice w: x1 + 31757 app^1_cons w: x1 + 38553 #app^2_map w: x1 + 1 twice w: 31755 #app^2_twice w: x1 + 31756 fmap w: 6135 app^2_twice w: 31759 app^1_fmap w: x1 + 6137 nil w: 6 #app w: x1 map w: 1 cons w: 38551 #app^2_fmap w: x1 app^2_fmap w: x1 + x2 + 6139 app^1_map w: x1 + 3 app^2_cons w: x1 + x2 + 38555 app^2_map w: x1 + 5 app w: x1 + x2 + 1 USABLE RULES: { } Removed DPs: #1..4 #6 #8 #9 Number of SCCs: 1, DPs: 1 SCC { #7 } POLO(Sum)... succeeded. t_f w: 2998 app^1_twice w: x1 + 14683 app^1_cons w: x1 + 42209 #app^2_map w: x2 + 1 twice w: 14681 #app^2_twice w: 31756 fmap w: 1 app^2_twice w: 31759 app^1_fmap w: x1 + 3 nil w: 6 #app w: 0 map w: 1 cons w: 42207 #app^2_fmap w: 0 app^2_fmap w: x1 + x2 + 5 app^1_map w: x1 + 3 app^2_cons w: x1 + x2 + 42211 app^2_map w: x1 + 5 app w: x1 + x2 + 1 USABLE RULES: { } Removed DPs: #7 Number of SCCs: 0, DPs: 0
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