YES Input TRS: 1: 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1)))))))))) 2: 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1))))))))))))) Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying 0^1_1 0 1: 0^1_1^1_2(1(x1)) -> 1(2(1(1(0^1_1^1_2(0^1_1^1_2(x1)))))) 2: 0^1_1^1_2(1(x1)) -> 1(2(1(1(0^1_1^1_2(0^1_1^1_2(0^1_1^1_2(x1))))))) 3: 0(1(_1)) ->= 0^1_1(_1) 4: 0^1_1(2(_1)) ->= 0^1_1^1_2(_1) Number of strict rules: 2 Direct POLO(bPol) ... removes: 4 3 1 w: x1 0^1_1^1_2 w: x1 0 w: x1 + 2 0^1_1 w: x1 + 1 2 w: x1 Number of strict rules: 2 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #0^1_1^1_2(1(x1)) -> #0^1_1^1_2(0^1_1^1_2(0^1_1^1_2(x1))) #2: #0^1_1^1_2(1(x1)) -> #0^1_1^1_2(0^1_1^1_2(x1)) #3: #0^1_1^1_2(1(x1)) -> #0^1_1^1_2(x1) #4: #0^1_1^1_2(1(x1)) -> #0^1_1^1_2(0^1_1^1_2(x1)) #5: #0^1_1^1_2(1(x1)) -> #0^1_1^1_2(x1) Number of SCCs: 1, DPs: 5 SCC { #1..5 } POLO(Sum)... succeeded. 1 w: x1 + 39 0^1_1^1_2 w: 39 0 w: 0 #0^1_1^1_2 w: x1 0^1_1 w: 0 2 w: 0 USABLE RULES: { 1 2 } Removed DPs: #3 #5 Number of SCCs: 1, DPs: 3 SCC { #1 #2 #4 } POLO(Sum)... succeeded. 1 w: x1 + 42479 0^1_1^1_2 w: x1 + 21239 0 w: 0 #0^1_1^1_2 w: x1 0^1_1 w: 0 2 w: 0 USABLE RULES: { 1 2 } Removed DPs: #1 #2 #4 Number of SCCs: 0, DPs: 0