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TRS Standard pair #487073551
details
property
value
status
complete
benchmark
Ex3Lists.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0476151 seconds
cpu usage
0.024292
user time
0.007584
system time
0.016708
max virtual memory
113188.0
max residence set size
7636.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: app(app(append(),nil()),l) -> l 2: app(app(append(),app(app(cons(),h),t)),l) -> app(app(cons(),h),app(app(append(),t),l)) 3: app(app(map(),f),nil()) -> nil() 4: app(app(map(),f),app(app(cons(),h),t)) -> app(app(cons(),app(f,h)),app(app(map(),f),t)) 5: app(app(append(),app(app(append(),l1),l2)),l3) -> app(app(append(),l1),app(app(append(),l2),l3)) 6: app(app(map(),f),app(app(append(),l1),l2)) -> app(app(append(),app(app(map(),f),l1)),app(app(map(),f),l2)) Number of strict rules: 6 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_append(nil(),l) -> l 2: app^2_append(app^2_cons(h,t),l) -> app^2_cons(h,app^2_append(t,l)) 3: app^2_map(f,nil()) -> nil() 4: app^2_map(f,app^2_cons(h,t)) -> app^2_cons(app(f,h),app^2_map(f,t)) 5: app^2_append(app^2_append(l1,l2),l3) -> app^2_append(l1,app^2_append(l2,l3)) 6: app^2_map(f,app^2_append(l1,l2)) -> app^2_append(app^2_map(f,l1),app^2_map(f,l2)) 7: app(append(),_1) ->= app^1_append(_1) 8: app(app^1_append(_1),_2) ->= app^2_append(_1,_2) 9: app(cons(),_1) ->= app^1_cons(_1) 10: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 11: app(map(),_1) ->= app^1_map(_1) 12: 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_append(app^2_cons(h,t),l) -> #app^2_append(t,l) #2: #app^2_map(f,app^2_append(l1,l2)) -> #app^2_append(app^2_map(f,l1),app^2_map(f,l2)) #3: #app^2_map(f,app^2_append(l1,l2)) -> #app^2_map(f,l1) #4: #app^2_map(f,app^2_append(l1,l2)) -> #app^2_map(f,l2) #5: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2) #6: #app^2_append(app^2_append(l1,l2),l3) -> #app^2_append(l1,app^2_append(l2,l3)) #7: #app^2_append(app^2_append(l1,l2),l3) -> #app^2_append(l2,l3) #8: #app(app^1_append(_1),_2) ->? #app^2_append(_1,_2) #9: #app^2_map(f,app^2_cons(h,t)) -> #app(f,h) #10: #app^2_map(f,app^2_cons(h,t)) -> #app^2_map(f,t) Number of SCCs: 2, DPs: 8 SCC { #1 #6 #7 } POLO(Sum)... succeeded. app^1_cons w: 0 #app^2_map w: 0 app^1_append w: 0 #app^2_append w: x1 append w: 0 nil w: 1 #app w: 0 map w: 0 cons w: 0 app^1_map w: 0 app^2_cons w: x2 + 2438 app^2_append w: x1 + x2 + 8856 app^2_map w: 0 app w: 0 USABLE RULES: { 1 2 5 } Removed DPs: #1 #6 #7 Number of SCCs: 1, DPs: 5 SCC { #3..5 #9 #10 } POLO(Sum)... succeeded. app^1_cons w: 0 #app^2_map w: x1 + x2 app^1_append w: 0 #app^2_append w: 0 append w: 0 nil w: 1 #app w: x1 + x2 map w: 0 cons w: 0 app^1_map w: x1 + 1 app^2_cons w: x1 + x2 + 11798 app^2_append w: x1 + x2 + 40651 app^2_map w: 0 app w: 0 USABLE RULES: { 1 2 5 } Removed DPs: #3..5 #9 #10 Number of SCCs: 0, DPs: 0
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