YES Input TRS: 1: r0(0(x1)) -> 0(r0(x1)) 2: r0(1(x1)) -> 1(r0(x1)) 3: r0(m(x1)) -> m(r0(x1)) 4: r1(0(x1)) -> 0(r1(x1)) 5: r1(1(x1)) -> 1(r1(x1)) 6: r1(m(x1)) -> m(r1(x1)) 7: r0(b(x1)) -> qr(0(b(x1))) 8: r1(b(x1)) -> qr(1(b(x1))) 9: 0(qr(x1)) -> qr(0(x1)) 10: 1(qr(x1)) -> qr(1(x1)) 11: m(qr(x1)) -> ql(m(x1)) 12: 0(ql(x1)) -> ql(0(x1)) 13: 1(ql(x1)) -> ql(1(x1)) 14: b(ql(0(x1))) -> 0(b(r0(x1))) 15: b(ql(1(x1))) -> 1(b(r1(x1))) Number of strict rules: 15 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #r0(1(x1)) -> #1(r0(x1)) #2: #r0(1(x1)) -> #r0(x1) #3: #r1(m(x1)) -> #m(r1(x1)) #4: #r1(m(x1)) -> #r1(x1) #5: #1(ql(x1)) -> #1(x1) #6: #0(qr(x1)) -> #0(x1) #7: #m(qr(x1)) -> #m(x1) #8: #0(ql(x1)) -> #0(x1) #9: #b(ql(0(x1))) -> #0(b(r0(x1))) #10: #b(ql(0(x1))) -> #b(r0(x1)) #11: #b(ql(0(x1))) -> #r0(x1) #12: #r0(b(x1)) -> #0(b(x1)) #13: #1(qr(x1)) -> #1(x1) #14: #r1(1(x1)) -> #1(r1(x1)) #15: #r1(1(x1)) -> #r1(x1) #16: #r0(m(x1)) -> #m(r0(x1)) #17: #r0(m(x1)) -> #r0(x1) #18: #r0(0(x1)) -> #0(r0(x1)) #19: #r0(0(x1)) -> #r0(x1) #20: #r1(b(x1)) -> #1(b(x1)) #21: #b(ql(1(x1))) -> #1(b(r1(x1))) #22: #b(ql(1(x1))) -> #b(r1(x1)) #23: #b(ql(1(x1))) -> #r1(x1) #24: #r1(0(x1)) -> #0(r1(x1)) #25: #r1(0(x1)) -> #r1(x1) Number of SCCs: 6, DPs: 13 SCC { #7 } POLO(Sum)... succeeded. #0 w: 0 1 w: 0 b w: 0 r0 w: 0 0 w: 0 ql w: 0 #r1 w: 0 r1 w: 0 #r0 w: 0 #m w: x1 #1 w: 0 #b w: 0 qr w: x1 + 1 m w: 0 USABLE RULES: { } Removed DPs: #7 Number of SCCs: 5, DPs: 12 SCC { #6 #8 } POLO(Sum)... succeeded. #0 w: x1 1 w: 0 b w: 0 r0 w: 0 0 w: 0 ql w: x1 + 1 #r1 w: 0 r1 w: 0 #r0 w: 0 #m w: 0 #1 w: 0 #b w: 0 qr w: x1 + 1 m w: 0 USABLE RULES: { } Removed DPs: #6 #8 Number of SCCs: 4, DPs: 10 SCC { #5 #13 } POLO(Sum)... succeeded. #0 w: 0 1 w: 0 b w: 0 r0 w: 0 0 w: 0 ql w: x1 + 1 #r1 w: 0 r1 w: 0 #r0 w: 0 #m w: 0 #1 w: x1 #b w: 0 qr w: x1 + 1 m w: 0 USABLE RULES: { } Removed DPs: #5 #13 Number of SCCs: 3, DPs: 8 SCC { #10 #22 } POLO(Sum)... succeeded. #0 w: 0 1 w: x1 + 2 b w: x1 + 1 r0 w: x1 + 1 0 w: x1 + 2 ql w: x1 #r1 w: 0 r1 w: x1 + 1 #r0 w: 0 #m w: 0 #1 w: 0 #b w: x1 qr w: 2 m w: 20538 USABLE RULES: { 1..13 } Removed DPs: #10 #22 Number of SCCs: 2, DPs: 6 SCC { #4 #15 #25 } POLO(Sum)... succeeded. #0 w: 0 1 w: x1 + 1 b w: 1 r0 w: x1 0 w: x1 + 1 ql w: 0 #r1 w: x1 r1 w: x1 + 29283 #r0 w: 0 #m w: 0 #1 w: 0 #b w: x1 qr w: 0 m w: x1 + 20538 USABLE RULES: { 1..13 } Removed DPs: #4 #15 #25 Number of SCCs: 1, DPs: 3 SCC { #2 #17 #19 } POLO(Sum)... succeeded. #0 w: 0 1 w: x1 + 1 b w: 1 r0 w: x1 0 w: x1 + 1 ql w: 0 #r1 w: 0 r1 w: x1 + 1 #r0 w: x1 #m w: 0 #1 w: 0 #b w: x1 qr w: 0 m w: x1 + 21656 USABLE RULES: { 1..13 } Removed DPs: #2 #17 #19 Number of SCCs: 0, DPs: 0