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TRS_Equational 2019-03-21 05.09 pair #429997248
details
property
value
status
complete
benchmark
AC54.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.068876 seconds
cpu usage
0.033918
user time
0.020406
system time
0.013512
max virtual memory
113176.0
max residence set size
8816.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.06 YES 0.00/0.06 Input TRS: 0.00/0.06 AC symbols: plus 0.00/0.06 1: minus(x,0()) -> x 0.00/0.06 2: minus(s(x),s(y)) -> minus(x,y) 0.00/0.06 3: minus(minus(x,y),z) -> minus(x,plus(y,z)) 0.00/0.06 4: quot(0(),s(y)) -> 0() 0.00/0.06 5: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 0.00/0.06 6: plus(0(),y) -> y 0.00/0.06 7: plus(s(x),y) -> s(plus(x,y)) 0.00/0.06 8: app(nil(),k) -> k 0.00/0.06 9: app(l,nil()) -> l 0.00/0.06 10: app(cons(x,l),k) -> cons(x,app(l,k)) 0.00/0.06 11: sum(cons(x,nil())) -> cons(x,nil()) 0.00/0.06 12: sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l)) 0.00/0.06 13: sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k))))) 0.00/0.06 Number of strict rules: 13 0.00/0.06 Direct POLO(bPol) ... failed. 0.00/0.06 Uncurrying ... failed. 0.00/0.06 Dependency Pairs: 0.00/0.06 #1: #minus(s(x),s(y)) -> #minus(x,y) 0.00/0.06 #2: #sum(app(l,cons(x,cons(y,k)))) -> #sum(app(l,sum(cons(x,cons(y,k))))) 0.00/0.06 #3: #sum(app(l,cons(x,cons(y,k)))) -> #app(l,sum(cons(x,cons(y,k)))) 0.00/0.06 #4: #sum(app(l,cons(x,cons(y,k)))) -> #sum(cons(x,cons(y,k))) 0.00/0.06 #5: #sum(cons(x,cons(y,l))) -> #sum(cons(plus(x,y),l)) 0.00/0.06 #6: #sum(cons(x,cons(y,l))) -> #plus(x,y) 0.00/0.06 #7: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) 0.00/0.06 #8: #plus(x,plus(y,z)) ->= #plus(x,y) 0.00/0.06 #9: #plus(s(x),y) -> #plus(x,y) 0.00/0.06 #10: #app(cons(x,l),k) -> #app(l,k) 0.00/0.06 #11: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) 0.00/0.06 #12: #quot(s(x),s(y)) -> #minus(x,y) 0.00/0.06 #13: #minus(minus(x,y),z) -> #minus(x,plus(y,z)) 0.00/0.06 #14: #minus(minus(x,y),z) -> #plus(y,z) 0.00/0.06 Number of SCCs: 6, DPs: 9 0.00/0.06 SCC { #10 } 0.00/0.06 POLO(Sum)... succeeded. 0.00/0.06 s w: 0 0.00/0.06 minus w: 0 0.00/0.06 #plus w: 0 0.00/0.06 sum w: 0 0.00/0.06 0 w: 0 0.00/0.06 quot w: 0 0.00/0.06 nil w: 0 0.00/0.06 #app w: x1 0.00/0.06 #minus w: 0 0.00/0.06 plus w: 0 0.00/0.06 cons w: x2 + 1 0.00/0.06 #quot w: 0 0.00/0.06 #sum w: 0 0.00/0.06 app w: 0 0.00/0.06 USABLE RULES: { } 0.00/0.06 Removed DPs: #10 0.00/0.06 Number of SCCs: 5, DPs: 8 0.00/0.06 SCC { #11 } 0.00/0.06 POLO(Sum)... succeeded. 0.00/0.06 s w: x1 + 2 0.00/0.06 minus w: x1 + 1 0.00/0.06 #plus w: 0 0.00/0.06 sum w: 0 0.00/0.06 0 w: 1 0.00/0.06 quot w: 0 0.00/0.06 nil w: 0 0.00/0.06 #app w: 0 0.00/0.06 #minus w: 0 0.00/0.06 plus w: x1 + x2 + 1 0.00/0.06 cons w: 1 0.00/0.06 #quot w: x1 0.00/0.06 #sum w: 0 0.00/0.06 app w: 0 0.00/0.06 USABLE RULES: { 1..3 6 7 14 } 0.00/0.06 Removed DPs: #11 0.00/0.06 Number of SCCs: 4, DPs: 7 0.00/0.06 SCC { #5 } 0.00/0.06 POLO(Sum)... succeeded. 0.00/0.06 s w: x1 + 2 0.00/0.06 minus w: x1 + 1 0.00/0.06 #plus w: 0 0.00/0.06 sum w: 0 0.00/0.06 0 w: 1 0.00/0.06 quot w: 0 0.00/0.06 nil w: 0 0.00/0.06 #app w: 0 0.00/0.06 #minus w: 0 0.00/0.06 plus w: x1 + x2 + 1 0.00/0.06 cons w: x1 + x2 + 2 0.00/0.06 #quot w: x1 0.00/0.06 #sum w: x1 0.00/0.06 app w: 0 0.00/0.06 USABLE RULES: { 1..3 6 7 14 } 0.00/0.06 Removed DPs: #5 0.00/0.06 Number of SCCs: 3, DPs: 6 0.00/0.06 SCC { #2 } 0.00/0.06 POLO(Sum)... succeeded. 0.00/0.06 s w: x1 + 2 0.00/0.06 minus w: x1 + 1 0.00/0.06 #plus w: 0 0.00/0.06 sum w: 3 0.00/0.06 0 w: 1 0.00/0.06 quot w: 0
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