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TRS Standard pair #487073306
details
property
value
status
complete
benchmark
011.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.076044 seconds
cpu usage
0.029563
user time
0.015609
system time
0.013954
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: app(app(app(curry(),g),x),y) -> app(app(g,x),y) 6: inc() -> app(map(),app(app(curry(),plus()),app(s(),0()))) Number of strict rules: 6 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: app^3_curry(g,x,y) -> app(app(g,x),y) 6: inc() -> app^1_map(app^2_curry(plus(),app^1_s(0()))) 7: app(plus(),_1) ->= app^1_plus(_1) 8: app(app^1_plus(_1),_2) ->= app^2_plus(_1,_2) 9: app(curry(),_1) ->= app^1_curry(_1) 10: app(app^1_curry(_1),_2) ->= app^2_curry(_1,_2) 11: app(app^2_curry(_1,_2),_3) ->= app^3_curry(_1,_2,_3) 12: app(cons(),_1) ->= app^1_cons(_1) 13: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 14: app(s(),_1) ->= app^1_s(_1) 15: app(map(),_1) ->= app^1_map(_1) 16: app(app^1_map(_1),_2) ->= app^2_map(_1,_2) Number of strict rules: 6 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_plus(app^1_s(x),y) -> #app^2_plus(x,y) #2: #app(app^2_curry(_1,_2),_3) ->? #app^3_curry(_1,_2,_3) #3: #app^3_curry(g,x,y) -> #app(app(g,x),y) #4: #app^3_curry(g,x,y) -> #app(g,x) #5: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2) #6: #app(app^1_plus(_1),_2) ->? #app^2_plus(_1,_2) #7: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x) #8: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs) Number of SCCs: 2, DPs: 7 SCC { #1 } POLO(Sum)... succeeded. s w: 0 app^1_cons w: 0 app^1_plus w: 0 #app^2_map w: 0 curry w: 0 #inc w: 0 inc w: 0 #app^2_plus w: x1 #app^3_curry w: 0 app^2_plus w: 0 0 w: 0 app^1_curry w: 0 nil w: 0 #app w: 0 app^2_curry w: 0 map w: 0 plus w: 0 cons w: 0 app^3_curry 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: 6 SCC { #2..5 #7 #8 } POLO(Sum)... succeeded. s w: 1 app^1_cons w: x1 + 25907 app^1_plus w: x1 + 14681 #app^2_map w: x1 + 1 curry w: 1982 #inc w: 0 inc w: 0 #app^2_plus w: 0 #app^3_curry w: x1 + x2 + 28633 app^2_plus w: x1 + x2 + 43313 0 w: 1 app^1_curry w: x1 + 30614 nil w: 1 #app w: x1 app^2_curry w: x1 + x2 + 28634 map w: 8851 plus w: 49077 cons w: 33034 app^3_curry w: x1 + x2 + x3 + 57264 app^1_map w: x1 + 36186 app^2_cons w: x2 + 20538 app^1_s w: x1 + 18458 app^2_map w: x1 + x2 + 26286 app w: x1 + x2 + 28632 USABLE RULES: { 1..5 7..16 } Removed DPs: #2..5 #7 Number of SCCs: 1, DPs: 1 SCC { #8 } POLO(Sum)... succeeded. s w: 1
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