details

property	value
status	complete
benchmark	AC10.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.057841 seconds
cpu usage	0.039568
user time	0.020028
system time	0.01954
max virtual memory	113188.0
max residence set size	6768.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: AC symbols: plus times 1: plus(x,0()) -> x 2: plus(s(x),y) -> s(plus(x,y)) 3: times(x,0()) -> 0() 4: times(s(x),y) -> plus(times(x,y),y) 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(s(x),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(s(x),y) -> #plus(times(x,y),y) #10: #times(s(x),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(s(x),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(s(x),y),_1) -> #times(plus(times(x,y),y),_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 popout

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all output return to TRS Equational