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TRS Equational pair #487092679
details
property
value
status
complete
benchmark
AC41.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0378271 seconds
cpu usage
0.02391
user time
0.009793
system time
0.014117
max virtual memory
113188.0
max residence set size
7604.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: AC symbols: plus 1: minus(x,0()) -> x 2: minus(s(x),s(y)) -> minus(x,y) 3: minus(minus(x,y),z) -> minus(x,plus(y,z)) 4: quot(0(),s(y)) -> 0() 5: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 6: plus(0(),y) -> y 7: plus(s(x),y) -> s(plus(x,y)) Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #minus(s(x),s(y)) -> #minus(x,y) #2: #plus(s(x),y) -> #plus(x,y) #3: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) #4: #quot(s(x),s(y)) -> #minus(x,y) #5: #minus(minus(x,y),z) -> #minus(x,plus(y,z)) #6: #minus(minus(x,y),z) -> #plus(y,z) #7: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #8: #plus(x,plus(y,z)) ->= #plus(x,y) Number of SCCs: 3, DPs: 6 SCC { #3 } POLO(Sum)... succeeded. s w: x1 + 2 minus w: x1 + 1 #plus w: 0 0 w: 1 quot w: 0 #minus w: 0 plus w: 7720 #quot w: x1 USABLE RULES: { 1..3 } Removed DPs: #3 Number of SCCs: 2, DPs: 5 SCC { #1 #5 } POLO(Sum)... succeeded. s w: x1 + 2 minus w: x1 + x2 + 8367 #plus w: 0 0 w: 0 quot w: 0 #minus w: x1 + x2 plus w: x1 + x2 + 8366 #quot w: x1 USABLE RULES: { 1..3 6..8 } Removed DPs: #1 #5 Number of SCCs: 1, DPs: 3 SCC { #2 #7 #8 } POLO(Sum)... succeeded. s w: x1 + 1 minus w: x1 + x2 + 32286 #plus w: x1 + x2 0 w: 0 quot w: 0 #minus w: x2 plus w: x1 + x2 + 1 #quot w: x1 USABLE RULES: { 1..3 6..8 } Removed DPs: #2 #8 Number of SCCs: 1, DPs: 1 SCC { #7 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #9: #plus(plus(0(),y),_1) -> #plus(y,_1) #10: #plus(plus(s(x),y),_1) -> #plus(s(plus(x,y)),_1) #11: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #12: #plus(x,plus(y,z)) ->= #plus(x,y) Number of SCCs: 1, DPs: 4 SCC { #9..12 } POLO(Sum)... succeeded. s w: 28101 minus w: x1 + x2 + 1 #plus w: x1 + x2 0 w: 0 quot w: 0 #minus w: x2 plus w: x1 + x2 + 1 #quot w: 0 USABLE RULES: { 1 6..8 } Removed DPs: #9 #10 #12 Number of SCCs: 1, DPs: 1 SCC { #11 } only weak rules. Number of SCCs: 0, DPs: 0
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