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TRS Standard pair #487073406
details
property
value
status
complete
benchmark
014.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0571301 seconds
cpu usage
0.029614
user time
0.016301
system time
0.013313
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(times(),0()),y) -> 0() 4: app(app(times(),app(s(),x)),y) -> app(app(plus(),app(app(times(),x),y)),y) 5: app(app(map(),f),nil()) -> nil() 6: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) 7: inc() -> app(map(),app(plus(),app(s(),0()))) 8: double() -> app(map(),app(times(),app(s(),app(s(),0())))) Number of strict rules: 8 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_times(0(),y) -> 0() 4: app^2_times(app^1_s(x),y) -> app^2_plus(app^2_times(x,y),y) 5: app^2_map(f,nil()) -> nil() 6: app^2_map(f,app^2_cons(x,xs)) -> app^2_cons(app(f,x),app^2_map(f,xs)) 7: inc() -> app^1_map(app^1_plus(app^1_s(0()))) 8: double() -> app^1_map(app^1_times(app^1_s(app^1_s(0())))) 9: app(plus(),_1) ->= app^1_plus(_1) 10: app(app^1_plus(_1),_2) ->= app^2_plus(_1,_2) 11: app(cons(),_1) ->= app^1_cons(_1) 12: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 13: app(times(),_1) ->= app^1_times(_1) 14: app(app^1_times(_1),_2) ->= app^2_times(_1,_2) 15: app(s(),_1) ->= app^1_s(_1) 16: app(map(),_1) ->= app^1_map(_1) 17: app(app^1_map(_1),_2) ->= app^2_map(_1,_2) Number of strict rules: 8 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_plus(app^1_s(x),y) -> #app^2_plus(x,y) #2: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x) #3: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs) #4: #app(app^1_times(_1),_2) ->? #app^2_times(_1,_2) #5: #app(app^1_plus(_1),_2) ->? #app^2_plus(_1,_2) #6: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2) #7: #app^2_times(app^1_s(x),y) -> #app^2_plus(app^2_times(x,y),y) #8: #app^2_times(app^1_s(x),y) -> #app^2_times(x,y) Number of SCCs: 3, DPs: 5 SCC { #8 } 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: 0 app^2_plus w: 0 0 w: 0 #double w: 0 double w: 0 times w: 0 nil w: 0 #app w: 0 map w: 0 plus w: 0 cons w: 0 app^1_times w: 0 #app^2_times w: x1 app^1_map w: 0 app^2_cons w: 0 app^1_s w: x1 + 1 app^2_map w: 0 app w: 0 app^2_times w: 0 USABLE RULES: { } Removed DPs: #8 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 #double w: 0 double w: 0 times w: 0 nil w: 0 #app w: 0 map w: 0 plus w: 0 cons w: 0 app^1_times w: 0 #app^2_times 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 app^2_times w: 0 USABLE RULES: { }
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