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TRS Standard pair #487073401
details
property
value
status
complete
benchmark
013.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.055803 seconds
cpu usage
0.027766
user time
0.008992
system time
0.018774
max virtual memory
113188.0
max residence set size
6132.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: app(app(append(),nil()),ys) -> ys 2: app(app(append(),app(app(cons(),x),xs)),ys) -> app(app(cons(),x),app(app(append(),xs),ys)) 3: app(app(flatwith(),f),app(leaf(),x)) -> app(app(cons(),app(f,x)),nil()) 4: app(app(flatwith(),f),app(node(),xs)) -> app(app(flatwithsub(),f),xs) 5: app(app(flatwithsub(),f),nil()) -> nil() 6: app(app(flatwithsub(),f),app(app(cons(),x),xs)) -> app(app(append(),app(app(flatwith(),f),x)),app(app(flatwithsub(),f),xs)) Number of strict rules: 6 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_append(nil(),ys) -> ys 2: app^2_append(app^2_cons(x,xs),ys) -> app^2_cons(x,app^2_append(xs,ys)) 3: app^2_flatwith(f,app^1_leaf(x)) -> app^2_cons(app(f,x),nil()) 4: app^2_flatwith(f,app^1_node(xs)) -> app^2_flatwithsub(f,xs) 5: app^2_flatwithsub(f,nil()) -> nil() 6: app^2_flatwithsub(f,app^2_cons(x,xs)) -> app^2_append(app^2_flatwith(f,x),app^2_flatwithsub(f,xs)) 7: app(flatwithsub(),_1) ->= app^1_flatwithsub(_1) 8: app(app^1_flatwithsub(_1),_2) ->= app^2_flatwithsub(_1,_2) 9: app(append(),_1) ->= app^1_append(_1) 10: app(app^1_append(_1),_2) ->= app^2_append(_1,_2) 11: app(cons(),_1) ->= app^1_cons(_1) 12: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 13: app(flatwith(),_1) ->= app^1_flatwith(_1) 14: app(app^1_flatwith(_1),_2) ->= app^2_flatwith(_1,_2) 15: app(leaf(),_1) ->= app^1_leaf(_1) 16: app(node(),_1) ->= app^1_node(_1) Number of strict rules: 6 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_append(app^2_cons(x,xs),ys) -> #app^2_append(xs,ys) #2: #app^2_flatwithsub(f,app^2_cons(x,xs)) -> #app^2_append(app^2_flatwith(f,x),app^2_flatwithsub(f,xs)) #3: #app^2_flatwithsub(f,app^2_cons(x,xs)) -> #app^2_flatwith(f,x) #4: #app^2_flatwithsub(f,app^2_cons(x,xs)) -> #app^2_flatwithsub(f,xs) #5: #app(app^1_flatwith(_1),_2) ->? #app^2_flatwith(_1,_2) #6: #app(app^1_append(_1),_2) ->? #app^2_append(_1,_2) #7: #app^2_flatwith(f,app^1_leaf(x)) -> #app(f,x) #8: #app(app^1_flatwithsub(_1),_2) ->? #app^2_flatwithsub(_1,_2) #9: #app^2_flatwith(f,app^1_node(xs)) -> #app^2_flatwithsub(f,xs) Number of SCCs: 2, DPs: 7 SCC { #1 } POLO(Sum)... succeeded. flatwithsub w: 0 app^1_flatwithsub w: 0 flatwith w: 0 app^1_cons w: 0 app^2_flatwithsub w: 0 app^1_flatwith w: 0 app^1_append w: 0 #app^2_flatwithsub w: 0 #app^2_append w: x1 append w: 0 nil w: 0 #app w: 0 #app^2_flatwith w: 0 cons w: 0 app^2_flatwith w: 0 leaf w: 0 app^2_cons w: x2 + 1 node w: 0 app^2_append w: 0 app^1_leaf w: 0 app w: 0 app^1_node w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 6 SCC { #3..5 #7..9 } POLO(Sum)... succeeded. flatwithsub w: 0 app^1_flatwithsub w: x1 + 2 flatwith w: 0 app^1_cons w: 0 app^2_flatwithsub w: 0 app^1_flatwith w: x1 + 2 app^1_append w: 0 #app^2_flatwithsub w: x1 + 1 #app^2_append w: 0 append w: 0 nil w: 0 #app w: x1 #app^2_flatwith w: x1 + 1 cons w: 0 app^2_flatwith w: 0 leaf w: 0 app^2_cons w: 1 node w: 0 app^2_append w: 0 app^1_leaf w: 1 app w: 0 app^1_node w: 1 USABLE RULES: { } Removed DPs: #5 #7 #8 Number of SCCs: 1, DPs: 3 SCC { #3 #4 #9 } POLO(Sum)... succeeded. flatwithsub w: 0 app^1_flatwithsub w: 2 flatwith w: 0 app^1_cons w: 0
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