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TRS Standard pair #487073686
details
property
value
status
complete
benchmark
ReverseLastInit.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Applicative_05
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.047284 seconds
cpu usage
0.023534
user time
0.005409
system time
0.018125
max virtual memory
113188.0
max residence set size
7160.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: app(app(app(compose(),f),g),x) -> app(g,app(f,x)) 2: app(reverse(),l) -> app(app(reverse2(),l),nil()) 3: app(app(reverse2(),nil()),l) -> l 4: app(app(reverse2(),app(app(cons(),x),xs)),l) -> app(app(reverse2(),xs),app(app(cons(),x),l)) 5: app(hd(),app(app(cons(),x),xs)) -> x 6: app(tl(),app(app(cons(),x),xs)) -> xs 7: last() -> app(app(compose(),hd()),reverse()) 8: init() -> app(app(compose(),reverse()),app(app(compose(),tl()),reverse())) Number of strict rules: 8 Direct POLO(bPol) ... removes: 8 1 3 5 7 6 2 hd w: 1 init w: 262447 reverse2 w: 10451 reverse w: 44407 compose w: 30613 tl w: 2 last w: 131224 nil w: 5854 cons w: 1 app w: x1 + x2 + 28101 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying app 4: app^2_reverse2(app^2_cons(x,xs),l) -> app^2_reverse2(xs,app^2_cons(x,l)) 9: app(reverse2(),_1) ->= app^1_reverse2(_1) 10: app(app^1_reverse2(_1),_2) ->= app^2_reverse2(_1,_2) 11: app(cons(),_1) ->= app^1_cons(_1) 12: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) Number of strict rules: 1 Direct POLO(bPol) ... removes: 10 12 11 9 hd w: 0 app^1_cons w: 2 * x1 + 2 init w: 0 reverse2 w: 8857 app^2_reverse2 w: x1 + x2 reverse w: 0 compose w: 0 tl w: 0 last w: 0 nil w: 0 cons w: 3 app^1_reverse2 w: 2 * x1 + 1 app^2_cons w: 2 * x1 + x2 + 1 app w: x1 + 2 * x2 Number of strict rules: 1 Direct POLO(bPol) ... removes: 4 hd w: 0 app^1_cons w: 2 * x1 + 1 init w: 0 reverse2 w: 5854 app^2_reverse2 w: 2 * x1 + x2 reverse w: 0 compose w: 0 tl w: 0 last w: 0 nil w: 0 cons w: 3 app^1_reverse2 w: 2 * x1 + 1 app^2_cons w: 2 * x1 + x2 + 1 app w: x1 + 2 * x2 Number of strict rules: 0
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