0.00/0.43 YES 0.00/0.43 Input TRS: 0.00/0.43 1: a(l(x1)) -> l(a(x1)) 0.00/0.43 2: a(c(x1)) -> c(a(x1)) 0.00/0.43 3: c(a(r(x1))) -> r(a(x1)) 0.00/0.43 4: l(r(a(a(x1)))) -> a(a(l(c(c(c(r(x1))))))) 0.00/0.43 Number of strict rules: 4 0.00/0.43 Direct POLO(bPol) ... failed. 0.00/0.43 Uncurrying ... failed. 0.00/0.43 Dependency Pairs: 0.00/0.43 #1: #a(c(x1)) -> #c(a(x1)) 0.00/0.43 #2: #a(c(x1)) -> #a(x1) 0.00/0.43 #3: #c(a(r(x1))) -> #a(x1) 0.00/0.43 #4: #a(l(x1)) -> #l(a(x1)) 0.00/0.43 #5: #a(l(x1)) -> #a(x1) 0.00/0.43 #6: #l(r(a(a(x1)))) -> #a(a(l(c(c(c(r(x1))))))) 0.00/0.43 #7: #l(r(a(a(x1)))) -> #a(l(c(c(c(r(x1)))))) 0.00/0.43 #8: #l(r(a(a(x1)))) -> #l(c(c(c(r(x1))))) 0.00/0.43 #9: #l(r(a(a(x1)))) -> #c(c(c(r(x1)))) 0.00/0.43 #10: #l(r(a(a(x1)))) -> #c(c(r(x1))) 0.00/0.43 #11: #l(r(a(a(x1)))) -> #c(r(x1)) 0.00/0.43 Number of SCCs: 1, DPs: 7 0.00/0.43 SCC { #1..7 } 0.00/0.43 POLO(Sum)... succeeded. 0.00/0.43 a w: x1 + 1 0.00/0.43 r w: x1 + 2 0.00/0.43 l w: x1 + 1 0.00/0.43 c w: x1 0.00/0.43 #c w: x1 + 2 0.00/0.43 #l w: x1 + 4 0.00/0.43 #a w: x1 + 4 0.00/0.43 USABLE RULES: { 1..4 } 0.00/0.43 Removed DPs: #1 #3 #5 #7 0.00/0.43 Number of SCCs: 1, DPs: 3 0.00/0.43 SCC { #2 #4 #6 } 0.00/0.43 POLO(Sum)... succeeded. 0.00/0.43 a w: x1 0.00/0.43 r w: x1 + 2 0.00/0.43 l w: 1 0.00/0.43 c w: x1 + 1 0.00/0.43 #c w: x1 + 2 0.00/0.43 #l w: 5 0.00/0.43 #a w: x1 + 4 0.00/0.43 USABLE RULES: { 1..4 } 0.00/0.43 Removed DPs: #2 0.00/0.43 Number of SCCs: 1, DPs: 2 0.00/0.43 SCC { #4 #6 } 0.00/0.43 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.43 a w: max(x1 + 6, 0) 0.00/0.43 r w: 14 0.00/0.43 l w: max(x1 + 14, 0) 0.00/0.43 c w: max(x1 - 5, 0) 0.00/0.43 #c w: max(x1 - 1, 0) 0.00/0.43 #l w: max(x1 - 5, 0) 0.00/0.43 #a w: max(x1 - 12, 0) 0.00/0.43 USABLE RULES: { 1..4 } 0.00/0.43 Removed DPs: #4 #6 0.00/0.43 Number of SCCs: 0, DPs: 0 0.00/0.44 EOF