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TRS Standard pair #487073331
details
property
value
status
complete
benchmark
007.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.046918 seconds
cpu usage
0.024199
user time
0.011117
system time
0.013082
max virtual memory
113188.0
max residence set size
9272.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: app(app(plus(),0()),y) -> y 2: app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),x),y)) 3: app(app(map(),f),nil()) -> nil() 4: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) 5: inc() -> app(map(),app(plus(),app(s(),0()))) Number of strict rules: 5 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_plus(0(),y) -> y 2: app^2_plus(app^1_s(x),y) -> app^1_s(app^2_plus(x,y)) 3: app^2_map(f,nil()) -> nil() 4: app^2_map(f,app^2_cons(x,xs)) -> app^2_cons(app(f,x),app^2_map(f,xs)) 5: inc() -> app^1_map(app^1_plus(app^1_s(0()))) 6: app(plus(),_1) ->= app^1_plus(_1) 7: app(app^1_plus(_1),_2) ->= app^2_plus(_1,_2) 8: app(cons(),_1) ->= app^1_cons(_1) 9: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 10: app(s(),_1) ->= app^1_s(_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^2_plus(app^1_s(x),y) -> #app^2_plus(x,y) #2: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2) #3: #app(app^1_plus(_1),_2) ->? #app^2_plus(_1,_2) #4: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x) #5: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs) Number of SCCs: 2, DPs: 4 SCC { #1 } POLO(Sum)... succeeded. s w: 0 app^1_cons w: 0 app^1_plus w: 0 #app^2_map w: 0 #inc w: 0 inc w: 0 #app^2_plus w: x1 app^2_plus w: 0 0 w: 0 nil w: 0 #app w: 0 map w: 0 plus w: 0 cons 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: { } Removed DPs: #1 Number of SCCs: 1, DPs: 3 SCC { #2 #4 #5 } POLO(Sum)... succeeded. s w: 0 app^1_cons w: 0 app^1_plus w: 0 #app^2_map w: x2 #inc w: 0 inc w: 0 #app^2_plus w: 0 app^2_plus w: 0 0 w: 0 nil w: 0 #app w: x2 + 1 map w: 0 plus w: 0 cons w: 0 app^1_map w: 1 app^2_cons w: x1 + x2 + 2 app^1_s w: 1 app^2_map w: 0 app w: 0 USABLE RULES: { } Removed DPs: #2 #4 #5 Number of SCCs: 0, DPs: 0
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