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TRS Equational pair #487092748
details
property
value
status
complete
benchmark
AC14.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0593219 seconds
cpu usage
0.040586
user time
0.02354
system time
0.017046
max virtual memory
113188.0
max residence set size
6796.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: AC symbols: plus times 1: plus(x,0()) -> x 2: plus(x,s(y)) -> s(plus(x,y)) 3: times(x,0()) -> 0() 4: times(x,s(y)) -> plus(times(x,y),x) 5: times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) Number of strict rules: 5 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #plus(x,s(y)) -> #plus(x,y) #2: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #3: #plus(x,plus(y,z)) ->= #plus(x,y) #4: #times(x,times(y,z)) ->= #times(times(x,y),z) #5: #times(x,times(y,z)) ->= #times(x,y) #6: #times(x,plus(y,z)) -> #plus(times(x,y),times(x,z)) #7: #times(x,plus(y,z)) -> #times(x,y) #8: #times(x,plus(y,z)) -> #times(x,z) #9: #times(x,s(y)) -> #plus(times(x,y),x) #10: #times(x,s(y)) -> #times(x,y) Number of SCCs: 2, DPs: 8 SCC { #1..3 } POLO(Sum)... succeeded. s w: x1 + 1 #plus w: x1 + x2 #times w: 0 0 w: 21277 times w: 0 plus w: x1 + x2 + 7720 USABLE RULES: { 1 2 6 } Removed DPs: #1 #3 Number of SCCs: 2, DPs: 6 SCC { #2 } only weak rules. Number of SCCs: 1, DPs: 5 SCC { #4 #5 #7 #8 #10 } POLO(Sum)... POLO(max)... QLPOS... succeeded. s s: [1] p: 0 #plus s: {} p: 1 #times s: {1,2} p: 2 0 s: [] p: 0 times s: {1,2} p: 2 plus s: {1,2} p: 1 USABLE RULES: { 1..7 } Removed DPs: #5 #7 #8 #10 Number of SCCs: 1, DPs: 1 SCC { #4 } only weak rules. Number of SCCs: 0, DPs: 0 Next Dependency Pairs: #11: #plus(plus(x,s(y)),_1) -> #plus(s(plus(x,y)),_1) #12: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) #13: #plus(x,plus(y,z)) ->= #plus(x,y) #14: #times(x,times(y,z)) ->= #times(times(x,y),z) #15: #times(x,times(y,z)) ->= #times(x,y) #16: #times(times(x,plus(y,z)),_1) -> #times(plus(times(x,y),times(x,z)),_1) #17: #times(times(x,0()),_1) -> #times(0(),_1) #18: #plus(plus(x,0()),_1) -> #plus(x,_1) #19: #times(times(x,s(y)),_1) -> #times(plus(times(x,y),x),_1) Number of SCCs: 2, DPs: 9 SCC { #11..13 #18 } POLO(Sum)... succeeded. s w: 36459 #plus w: x1 + x2 #times w: 0 0 w: 21277 times w: 282 plus w: x1 + x2 + 7720 USABLE RULES: { 1 2 6 } Removed DPs: #11 #13 #18 Number of SCCs: 2, DPs: 6 SCC { #12 } only weak rules. Number of SCCs: 1, DPs: 5 SCC { #14..17 #19 } POLO(Sum)... POLO(max)... QLPOS... succeeded. s s: [1] p: 0 #plus s: {} p: 1 #times s: {1,2} p: 2 0 s: [] p: 3 times s: {1,2} p: 2 plus s: {1,2} p: 1 USABLE RULES: { 1..7 } Removed DPs: #15..17 #19 Number of SCCs: 1, DPs: 1 SCC { #14 } only weak rules. Number of SCCs: 0, DPs: 0
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