details

property	value
status	complete
benchmark	AC18.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n089.star.cs.uiowa.edu
space	AProVE_AC_04

run statistics

property	value
solver	NaTT
configuration	Default
runtime (wallclock)	0.14463 seconds
cpu usage	0.085679
user time	0.061283
system time	0.024396
max virtual memory	113176.0
max residence set size	6084.0

stage attributes

key	value
starexec-result	MAYBE

output

0.00/0.14 MAYBE 0.00/0.14 Input TRS: 0.00/0.14 AC symbols: plus times 0.00/0.14 1: 0(S()) -> S() 0.00/0.14 2: plus(S(),x) -> x 0.00/0.14 3: plus(0(x),0(y)) -> 0(plus(x,y)) 0.00/0.14 4: plus(0(x),1(y)) -> 1(plus(x,y)) 0.00/0.14 5: plus(0(x),j(y)) -> j(plus(x,y)) 0.00/0.14 6: plus(1(x),1(y)) -> j(plus(1(S()),plus(x,y))) 0.00/0.14 7: plus(j(x),j(y)) -> 1(plus(j(S()),plus(x,y))) 0.00/0.14 8: plus(1(x),j(y)) -> 0(plus(x,y)) 0.00/0.14 9: opp(S()) -> S() 0.00/0.14 10: opp(0(x)) -> 0(opp(x)) 0.00/0.14 11: opp(1(x)) -> j(opp(x)) 0.00/0.14 12: opp(j(x)) -> 1(opp(x)) 0.00/0.14 13: minus(x,y) -> plus(opp(y),x) 0.00/0.14 14: times(S(),x) -> S() 0.00/0.14 15: times(0(x),y) -> 0(times(x,y)) 0.00/0.14 16: times(1(x),y) -> plus(0(times(x,y)),y) 0.00/0.14 17: times(j(x),y) -> minus(0(times(x,y)),y) 0.00/0.14 Number of strict rules: 17 0.00/0.14 Direct POLO(bPol) ... failed. 0.00/0.14 Uncurrying ... failed. 0.00/0.14 Dependency Pairs: 0.00/0.14 #1: #plus(1(x),1(y)) -> #plus(1(S()),plus(x,y)) 0.00/0.14 #2: #plus(1(x),1(y)) -> #plus(x,y) 0.00/0.14 #3: #minus(x,y) -> #plus(opp(y),x) 0.00/0.14 #4: #minus(x,y) -> #opp(y) 0.00/0.14 #5: #opp(1(x)) -> #opp(x) 0.00/0.14 #6: #opp(j(x)) -> #opp(x) 0.00/0.14 #7: #plus(j(x),j(y)) -> #plus(j(S()),plus(x,y)) 0.00/0.14 #8: #plus(j(x),j(y)) -> #plus(x,y) 0.00/0.14 #9: #opp(0(x)) -> #0(opp(x)) 0.00/0.14 #10: #opp(0(x)) -> #opp(x) 0.00/0.14 #11: #plus(0(x),j(y)) -> #plus(x,y) 0.00/0.14 #12: #times(j(x),y) -> #minus(0(times(x,y)),y) 0.00/0.14 #13: #times(j(x),y) -> #0(times(x,y)) 0.00/0.14 #14: #times(j(x),y) -> #times(x,y) 0.00/0.14 #15: #times(x,times(y,z)) ->= #times(times(x,y),z) 0.00/0.14 #16: #times(x,times(y,z)) ->= #times(x,y) 0.00/0.14 #17: #times(1(x),y) -> #plus(0(times(x,y)),y) 0.00/0.14 #18: #times(1(x),y) -> #0(times(x,y)) 0.00/0.14 #19: #times(1(x),y) -> #times(x,y) 0.00/0.14 #20: #plus(0(x),0(y)) -> #0(plus(x,y)) 0.00/0.14 #21: #plus(0(x),0(y)) -> #plus(x,y) 0.00/0.14 #22: #plus(1(x),j(y)) -> #0(plus(x,y)) 0.00/0.14 #23: #plus(1(x),j(y)) -> #plus(x,y) 0.00/0.14 #24: #times(0(x),y) -> #0(times(x,y)) 0.00/0.14 #25: #times(0(x),y) -> #times(x,y) 0.00/0.14 #26: #plus(0(x),1(y)) -> #plus(x,y) 0.00/0.14 #27: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z) 0.00/0.14 #28: #plus(x,plus(y,z)) ->= #plus(x,y) 0.00/0.14 Number of SCCs: 3, DPs: 18 0.00/0.14 SCC { #5 #6 #10 } 0.00/0.14 POLO(Sum)... succeeded. 0.00/0.14 #0 w: 0 0.00/0.14 1 w: x1 + 1 0.00/0.14 S w: 0 0.00/0.14 minus w: 0 0.00/0.14 #plus w: 0 0.00/0.14 #opp w: x1 0.00/0.14 #times w: 0 0.00/0.14 0 w: x1 + 1 0.00/0.14 times w: 0 0.00/0.14 j w: x1 + 1 0.00/0.14 #minus w: 0 0.00/0.14 opp w: 0 0.00/0.14 plus w: 0 0.00/0.14 USABLE RULES: { } 0.00/0.14 Removed DPs: #5 #6 #10 0.00/0.14 Number of SCCs: 2, DPs: 15 0.00/0.14 SCC { #14..16 #19 #25 } 0.00/0.14 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.14 #0 w: 0 0.00/0.14 1 w: max(x1, 0) 0.00/0.14 S w: 0 0.00/0.14 minus w: max(x1, x2 + 1, 0) 0.00/0.14 #plus w: 0 0.00/0.14 #opp w: max(x1 - 1, 0) 0.00/0.14 #times w: max(x1 + x2 + 1, 0) 0.00/0.14 0 w: max(x1, 0) 0.00/0.14 times w: max(x1 + x2 + 1, 0) 0.00/0.14 j w: max(x1, 0) 0.00/0.14 #minus w: 0 0.00/0.14 opp w: 0 0.00/0.14 plus w: max(x1, x2, 0) 0.00/0.14 USABLE RULES: { 1..19 } 0.00/0.14 Removed DPs: #16 0.00/0.14 Number of SCCs: 2, DPs: 14 0.00/0.14 SCC { #14 #15 #19 #25 } 0.00/0.14 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 0.00/0.14 Finding a loop... failed. 0.00/0.14 EOF popout

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actions

all output return to TRS_Equational 2019-03-21 05.09