0.68/0.73 YES 0.68/0.73 Input TRS: 0.68/0.73 1: 0(1(2(3(4(5(1(x1))))))) -> 0(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(x1))))))))))))))))))) 0.68/0.73 2: 0(1(2(3(4(5(1(x1))))))) -> 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(x1))))))))))))))))))))))))) 0.68/0.73 3: 0(1(2(3(4(5(1(x1))))))) -> 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(x1))))))))))))))))))))))))))))))) 0.68/0.73 Number of strict rules: 3 0.68/0.73 Direct POLO(bPol) ... failed. 0.68/0.73 Uncurrying 0^1_1^1_2 0^1_1 0 0.68/0.73 1: 0^1_1^1_2^1_3(4(5(1(x1)))) -> 0^1_2(3(4(5(1(1(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(x1)))))))))))) 0.68/0.73 2: 0^1_1^1_2^1_3(4(5(1(x1)))) -> 1(2(3(4(5(1(1(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(x1)))))))))))))))) 0.68/0.73 3: 0^1_1^1_2^1_3(4(5(1(x1)))) -> 1(2(3(4(5(1(1(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(x1))))))))))))))))))) 0.68/0.73 4: 0(2(_1)) ->= 0^1_2(_1) 0.68/0.73 5: 0(1(_1)) ->= 0^1_1(_1) 0.68/0.73 6: 0^1_1(2(_1)) ->= 0^1_1^1_2(_1) 0.68/0.73 7: 0^1_1^1_2(3(_1)) ->= 0^1_1^1_2^1_3(_1) 0.68/0.73 Number of strict rules: 3 0.68/0.73 Direct POLO(bPol) ... removes: 4 5 7 6 0.68/0.73 1 w: x1 0.68/0.73 4 w: x1 0.68/0.73 5 w: x1 0.68/0.73 3 w: x1 0.68/0.73 0^1_1^1_2 w: x1 + 5 0.68/0.73 0 w: 2 * x1 + 7 0.68/0.73 0^1_1 w: x1 + 6 0.68/0.73 2 w: x1 0.68/0.73 0^1_1^1_2^1_3 w: x1 0.68/0.73 0^1_2 w: x1 0.68/0.73 Number of strict rules: 3 0.68/0.73 Direct POLO(bPol) ... failed. 0.68/0.73 Dependency Pairs: 0.68/0.73 #1: #0^1_1^1_2^1_3(4(5(1(x1)))) -> #0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(x1))))))))) 0.68/0.73 #2: #0^1_1^1_2^1_3(4(5(1(x1)))) -> #0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(x1)))))) 0.68/0.73 #3: #0^1_1^1_2^1_3(4(5(1(x1)))) -> #0^1_1^1_2^1_3(4(5(x1))) 0.68/0.73 #4: #0^1_1^1_2^1_3(4(5(1(x1)))) -> #0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(x1)))))))))))) 0.68/0.73 #5: #0^1_1^1_2^1_3(4(5(1(x1)))) -> #0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(x1))))))))) 0.68/0.73 #6: #0^1_1^1_2^1_3(4(5(1(x1)))) -> #0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(x1)))))) 0.68/0.73 #7: #0^1_1^1_2^1_3(4(5(1(x1)))) -> #0^1_1^1_2^1_3(4(5(x1))) 0.68/0.73 #8: #0^1_1^1_2^1_3(4(5(1(x1)))) -> #0^1_1^1_2^1_3(4(5(0^1_1^1_2^1_3(4(5(x1)))))) 0.68/0.73 #9: #0^1_1^1_2^1_3(4(5(1(x1)))) -> #0^1_1^1_2^1_3(4(5(x1))) 0.68/0.73 Number of SCCs: 1, DPs: 9 0.68/0.73 SCC { #1..9 } 0.68/0.73 POLO(Sum)... succeeded. 0.68/0.73 1 w: x1 + 4 0.68/0.73 4 w: x1 0.68/0.73 5 w: x1 + 1 0.68/0.73 3 w: x1 0.68/0.73 0^1_1^1_2 w: 0 0.68/0.73 0 w: 0 0.68/0.73 #0^1_1^1_2^1_3 w: x1 0.68/0.73 0^1_1 w: 0 0.68/0.73 2 w: 1 0.68/0.73 0^1_1^1_2^1_3 w: x1 0.68/0.73 0^1_2 w: 0 0.68/0.73 USABLE RULES: { 1..3 } 0.68/0.73 Removed DPs: #1..9 0.68/0.73 Number of SCCs: 0, DPs: 0 0.68/0.74 EOF