details

property	value
status	complete
benchmark	bag-sum-prod.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n008.star.cs.uiowa.edu
space	Mixed_AC

run statistics

property	value
solver	NaTT
configuration	Default
runtime (wallclock)	0.0703251 seconds
cpu usage	0.036434
user time	0.018184
system time	0.01825
max virtual memory	113176.0
max residence set size	6192.0

stage attributes

key	value
starexec-result	YES

output

0.00/0.06 YES 0.00/0.07 Input TRS: 0.00/0.07 AC symbols: + U * 0.00/0.07 1: +(0(),x) -> x 0.00/0.07 2: +(s(x),s(y)) -> s(s(+(x,y))) 0.00/0.07 3: *(0(),x) -> 0() 0.00/0.07 4: *(s(x),s(y)) -> s(+(+(x,y),*(x,y))) 0.00/0.07 5: U(empty(),b) -> b 0.00/0.07 6: sum(empty()) -> 0() 0.00/0.07 7: sum(singl(x)) -> x 0.00/0.07 8: sum(U(x,y)) -> +(sum(x),sum(y)) 0.00/0.07 9: prod(empty()) -> s(0()) 0.00/0.07 10: prod(singl(x)) -> x 0.00/0.07 11: prod(U(x,y)) -> *(prod(x),prod(y)) 0.00/0.07 Number of strict rules: 11 0.00/0.07 Direct POLO(bPol) ... failed. 0.00/0.07 Uncurrying ... failed. 0.00/0.07 Dependency Pairs: 0.00/0.07 #1: #+(s(x),s(y)) -> #+(x,y) 0.00/0.07 #2: #U(x,U(y,z)) ->= #U(U(x,y),z) 0.00/0.07 #3: #U(x,U(y,z)) ->= #U(x,y) 0.00/0.07 #4: #prod(U(x,y)) -> #*(prod(x),prod(y)) 0.00/0.07 #5: #prod(U(x,y)) -> #prod(x) 0.00/0.07 #6: #prod(U(x,y)) -> #prod(y) 0.00/0.07 #7: #+(x,+(y,z)) ->= #+(+(x,y),z) 0.00/0.07 #8: #+(x,+(y,z)) ->= #+(x,y) 0.00/0.07 #9: #*(x,*(y,z)) ->= #*(*(x,y),z) 0.00/0.07 #10: #*(x,*(y,z)) ->= #*(x,y) 0.00/0.07 #11: #sum(U(x,y)) -> #+(sum(x),sum(y)) 0.00/0.07 #12: #sum(U(x,y)) -> #sum(x) 0.00/0.07 #13: #sum(U(x,y)) -> #sum(y) 0.00/0.07 #14: #*(s(x),s(y)) -> #+(+(x,y),*(x,y)) 0.00/0.07 #15: #*(s(x),s(y)) -> #+(x,y) 0.00/0.07 #16: #*(s(x),s(y)) -> #*(x,y) 0.00/0.07 Number of SCCs: 5, DPs: 12 0.00/0.07 SCC { #12 #13 } 0.00/0.07 POLO(Sum)... succeeded. 0.00/0.07 prod w: 0 0.00/0.07 s w: 0 0.00/0.07 #prod w: 0 0.00/0.07 #* w: 0 0.00/0.07 #U w: 0 0.00/0.07 sum w: 0 0.00/0.07 0 w: 0 0.00/0.07 singl w: 0 0.00/0.07 empty w: 0 0.00/0.07 + w: 0 0.00/0.07 #sum w: x1 0.00/0.07 U w: x1 + x2 + 1 0.00/0.07 #+ w: 0 0.00/0.07 * w: 0 0.00/0.07 USABLE RULES: { } 0.00/0.07 Removed DPs: #12 #13 0.00/0.07 Number of SCCs: 4, DPs: 10 0.00/0.07 SCC { #5 #6 } 0.00/0.07 POLO(Sum)... succeeded. 0.00/0.07 prod w: 0 0.00/0.07 s w: 0 0.00/0.07 #prod w: x1 0.00/0.07 #* w: 0 0.00/0.07 #U w: 0 0.00/0.07 sum w: 0 0.00/0.07 0 w: 0 0.00/0.07 singl w: 0 0.00/0.07 empty w: 0 0.00/0.07 + w: 0 0.00/0.07 #sum w: 0 0.00/0.07 U w: x1 + x2 + 1 0.00/0.07 #+ w: 0 0.00/0.07 * w: 0 0.00/0.07 USABLE RULES: { } 0.00/0.07 Removed DPs: #5 #6 0.00/0.07 Number of SCCs: 3, DPs: 8 0.00/0.07 SCC { #2 #3 } 0.00/0.07 only weak rules. 0.00/0.07 Number of SCCs: 2, DPs: 6 0.00/0.07 SCC { #9 #10 #16 } 0.00/0.07 POLO(Sum)... POLO(max)... QLPOS... succeeded. 0.00/0.07 prod s: [] p: 0 0.00/0.07 s s: [1] p: 0 0.00/0.07 #prod s: [] p: 0 0.00/0.07 #* s: {1,2} p: 2 0.00/0.07 #U s: {} p: 0 0.00/0.07 sum s: [] p: 0 0.00/0.07 0 s: [] p: 0 0.00/0.07 singl s: [] p: 0 0.00/0.07 empty s: [] p: 0 0.00/0.07 + s: {1,2} p: 1 0.00/0.07 #sum s: [] p: 0 0.00/0.07 U s: {} p: 0 0.00/0.07 #+ s: {} p: 1 0.00/0.07 * s: {1,2} p: 2 0.00/0.07 USABLE RULES: { 1..4 12 14 } 0.00/0.07 Removed DPs: #10 #16 0.00/0.07 Number of SCCs: 2, DPs: 4 0.00/0.07 SCC { #9 } 0.00/0.07 only weak rules. 0.00/0.07 Number of SCCs: 1, DPs: 3 0.00/0.07 SCC { #1 #7 #8 } 0.00/0.07 POLO(Sum)... succeeded. popout

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job log

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actions

all output return to TRS_Equational 2019-03-21 05.09