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TRS Standard pair #487067531
details
property
value
status
complete
benchmark
#3.17.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
AG01
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.077382 seconds
cpu usage
0.025001
user time
0.016594
system time
0.008407
max virtual memory
113188.0
max residence set size
6968.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: app(nil(),k) -> k 2: app(l,nil()) -> l 3: app(cons(x,l),k) -> cons(x,app(l,k)) 4: sum(cons(x,nil())) -> cons(x,nil()) 5: sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) 6: sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) 7: plus(0(),y) -> y 8: plus(s(x),y) -> s(plus(x,y)) Number of strict rules: 8 Direct POLO(bPol) ... removes: 1 5 7 2 s w: x1 + 1 sum w: x1 0 w: 30613 nil w: 1 plus w: x1 + x2 + 1 cons w: x1 + x2 + 32287 app w: x1 + x2 + 10451 Number of strict rules: 4 Direct POLO(bPol) ... removes: 3 s w: x1 + 15922 sum w: x1 0 w: 8946 nil w: 1 plus w: x1 + x2 + 1 cons w: x1 + x2 + 1 app w: 2 * x1 + x2 + 10451 Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying sum 4: sum^1_cons(x,nil()) -> cons(x,nil()) 6: sum^1_app(l,cons(x,cons(y,k))) -> sum^1_app(l,sum^1_cons(x,cons(y,k))) 8: plus(s(x),y) -> s(plus(x,y)) 9: sum(cons(_1,_2)) ->= sum^1_cons(_1,_2) 10: sum(app(_1,_2)) ->= sum^1_app(_1,_2) Number of strict rules: 3 Direct POLO(bPol) ... removes: 4 8 10 9 6 sum^1_app w: 2 * x1 + 2 * x2 s w: x1 + 1 sum^1_cons w: x1 + x2 + 18462 sum w: 2 * x1 + 7449 0 w: 0 nil w: 1 plus w: 2 * x1 + x2 + 21656 cons w: x1 + 2 * x2 + 18460 app w: x1 + x2 + 1 Number of strict rules: 0
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