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TRS Standard pair #487073411
details
property
value
status
complete
benchmark
Ex1SimplyTyped.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0486379 seconds
cpu usage
0.025063
user time
0.009206
system time
0.015857
max virtual memory
113188.0
max residence set size
6344.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: app(id(),x) -> x 2: app(add(),0()) -> id() 3: app(app(add(),app(s(),x)),y) -> app(s(),app(app(add(),x),y)) 4: app(app(map(),f),nil()) -> nil() 5: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) Number of strict rules: 5 Direct POLO(bPol) ... failed. Uncurrying app 1: app^1_id(x) -> x 2: app^1_add(0()) -> id() 3: app(app^1_add(app^1_s(x)),y) -> app^1_s(app(app^1_add(x),y)) 4: app^2_map(f,nil()) -> nil() 5: app^2_map(f,app^2_cons(x,xs)) -> app^2_cons(app(f,x),app^2_map(f,xs)) 6: app(cons(),_1) ->= app^1_cons(_1) 7: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 8: app(id(),_1) ->= app^1_id(_1) 9: app(s(),_1) ->= app^1_s(_1) 10: app(add(),_1) ->= app^1_add(_1) 11: app(map(),_1) ->= app^1_map(_1) 12: 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(add(),_1) ->? #app^1_add(_1) #3: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x) #4: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs) #5: #app(app^1_add(app^1_s(x)),y) -> #app(app^1_add(x),y) #6: #app(app^1_add(app^1_s(x)),y) -> #app^1_add(x) #7: #app(id(),_1) ->? #app^1_id(_1) Number of SCCs: 2, DPs: 4 SCC { #5 } POLO(Sum)... succeeded. s w: 0 app^1_cons w: 0 #app^2_map w: 0 app^1_id w: 0 #app^1_add w: 0 0 w: 1 app^1_add w: x1 + 28958 nil w: 0 #app w: x1 map w: 0 #app^1_id w: 0 cons w: 0 id w: 0 add w: 0 app^1_map w: 0 app^2_cons w: 0 app^1_s w: x1 + 1 app^2_map w: 0 app w: 0 USABLE RULES: { 2 } Removed DPs: #5 Number of SCCs: 1, DPs: 3 SCC { #1 #3 #4 } POLO(Sum)... succeeded. s w: 0 app^1_cons w: 0 #app^2_map w: x1 + x2 app^1_id w: 0 #app^1_add w: 0 0 w: 1 app^1_add w: x1 + 28958 nil w: 0 #app w: x1 + x2 map w: 0 #app^1_id w: 0 cons w: 0 id w: 0 add w: 0 app^1_map w: x1 + 1 app^2_cons w: x1 + x2 + 2438 app^1_s w: 1 app^2_map w: 0 app w: 0 USABLE RULES: { 2 } Removed DPs: #1 #3 #4 Number of SCCs: 0, DPs: 0
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