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TRS Standard pair #487067541
details
property
value
status
complete
benchmark
#3.17a.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n185.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.10076 seconds
cpu usage
0.030438
user time
0.015192
system time
0.015246
max virtual memory
113188.0
max residence set size
7064.0
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)) 9: sum(plus(cons(0(),x),cons(y,l))) -> pred(sum(cons(s(x),cons(y,l)))) 10: pred(cons(s(x),nil())) -> cons(x,nil()) Number of strict rules: 10 Direct POLO(bPol) ... removes: 1 5 10 7 9 2 s w: x1 + 1 pred w: x1 sum w: x1 0 w: 1 nil w: 8946 plus w: x1 + x2 + 1 cons w: x1 + x2 + 2 app w: x1 + x2 + 26286 Number of strict rules: 4 Direct POLO(bPol) ... removes: 3 s w: x1 + 1 pred w: x1 sum w: x1 0 w: 32279 nil w: 1 plus w: x1 + x2 + 1 cons w: x1 + x2 + 1 app w: 2 * x1 + x2 + 26286 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)) 11: sum(cons(_1,_2)) ->= sum^1_cons(_1,_2) 12: sum(app(_1,_2)) ->= sum^1_app(_1,_2) Number of strict rules: 3 Direct POLO(bPol) ... removes: 4 8 12 11 6 sum^1_app w: x1 + x2 s w: x1 + 1 sum^1_cons w: x1 + x2 + 56205 pred w: x1 sum w: 2 * x1 0 w: 0 nil w: 1 plus w: 2 * x1 + x2 + 1 cons w: x1 + 2 * x2 + 28103 app w: x1 + x2 + 5854 Number of strict rules: 0
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