0.00/0.22 YES 0.00/0.23 Input TRS: 0.00/0.23 1: r(r(x1)) -> s(r(x1)) 0.00/0.23 2: r(s(x1)) -> s(r(x1)) 0.00/0.23 3: r(n(x1)) -> s(r(x1)) 0.00/0.23 4: r(b(x1)) -> u(s(b(x1))) 0.00/0.23 5: r(u(x1)) -> u(r(x1)) 0.00/0.23 6: s(u(x1)) -> u(s(x1)) 0.00/0.23 7: n(u(x1)) -> u(n(x1)) 0.00/0.23 8: t(r(u(x1))) -> t(c(r(x1))) 0.00/0.23 9: t(s(u(x1))) -> t(c(r(x1))) 0.00/0.23 10: t(n(u(x1))) -> t(c(r(x1))) 0.00/0.23 11: c(u(x1)) -> u(c(x1)) 0.00/0.23 12: c(s(x1)) -> s(c(x1)) 0.00/0.23 13: c(r(x1)) -> r(c(x1)) 0.00/0.23 14: c(n(x1)) -> n(c(x1)) 0.00/0.23 15: c(n(x1)) -> n(x1) 0.00/0.23 Number of strict rules: 15 0.00/0.23 Direct POLO(bPol) ... removes: 8 1 3 10 0.00/0.23 s w: x1 + 1 0.00/0.23 n w: x1 + 2 0.00/0.23 b w: x1 + 1 0.00/0.23 u w: x1 + 1 0.00/0.23 r w: x1 + 2 0.00/0.23 t w: x1 0.00/0.23 c w: x1 0.00/0.23 Number of strict rules: 11 0.00/0.23 Direct POLO(bPol) ... removes: 7 0.00/0.23 s w: x1 + 2 0.00/0.23 n w: 2 * x1 + 3 0.00/0.23 b w: x1 + 1 0.00/0.23 u w: x1 + 3 0.00/0.23 r w: x1 + 5 0.00/0.23 t w: x1 0.00/0.23 c w: x1 0.00/0.23 Number of strict rules: 10 0.00/0.23 Direct POLO(bPol) ... failed. 0.00/0.23 Uncurrying ... failed. 0.00/0.23 Dependency Pairs: 0.00/0.23 #1: #r(s(x1)) -> #s(r(x1)) 0.00/0.23 #2: #r(s(x1)) -> #r(x1) 0.00/0.23 #3: #s(u(x1)) -> #s(x1) 0.00/0.23 #4: #c(r(x1)) -> #r(c(x1)) 0.00/0.23 #5: #c(r(x1)) -> #c(x1) 0.00/0.23 #6: #t(s(u(x1))) -> #t(c(r(x1))) 0.00/0.23 #7: #t(s(u(x1))) -> #c(r(x1)) 0.00/0.23 #8: #t(s(u(x1))) -> #r(x1) 0.00/0.23 #9: #c(u(x1)) -> #c(x1) 0.00/0.23 #10: #c(s(x1)) -> #s(c(x1)) 0.00/0.23 #11: #c(s(x1)) -> #c(x1) 0.00/0.23 #12: #c(n(x1)) -> #c(x1) 0.00/0.23 #13: #r(u(x1)) -> #r(x1) 0.00/0.23 #14: #r(b(x1)) -> #s(b(x1)) 0.00/0.23 Number of SCCs: 4, DPs: 8 0.00/0.23 SCC { #3 } 0.00/0.23 POLO(Sum)... succeeded. 0.00/0.23 s w: 0 0.00/0.23 n w: 0 0.00/0.23 b w: 0 0.00/0.23 u w: x1 + 1 0.00/0.23 r w: 0 0.00/0.23 t w: 0 0.00/0.23 c w: 0 0.00/0.23 #s w: x1 0.00/0.23 #r w: 0 0.00/0.23 #c w: 0 0.00/0.23 #t w: 0 0.00/0.23 USABLE RULES: { } 0.00/0.23 Removed DPs: #3 0.00/0.23 Number of SCCs: 3, DPs: 7 0.00/0.23 SCC { #6 } 0.00/0.23 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.23 s w: x1 + [3;0] 0.00/0.23 n w: [0,1;0,0] * x1 + [1;0] 0.00/0.23 b w: [0,0;0,1] * x1 + [1;2] 0.00/0.23 u w: x1 0.00/0.23 r w: [1,1;0,1] * x1 + [1;0] 0.00/0.23 t w: [0;0] 0.00/0.23 c w: [1,0;0,0] * x1 + [1;0] 0.00/0.23 #s w: [0;0] 0.00/0.23 #r w: [0;0] 0.00/0.23 #c w: [0;0] 0.00/0.23 #t w: [1,1;0,0] * x1 0.00/0.23 USABLE RULES: { 2 4..6 11..15 } 0.00/0.23 Removed DPs: #6 0.00/0.23 Number of SCCs: 2, DPs: 6 0.00/0.23 SCC { #2 #13 } 0.00/0.23 POLO(Sum)... succeeded. 0.00/0.23 s w: x1 + 1 0.00/0.23 n w: 1 0.00/0.23 b w: x1 + 1 0.00/0.23 u w: x1 + 2 0.00/0.23 r w: 3 0.00/0.23 t w: 0 0.00/0.23 c w: x1 + 1 0.00/0.23 #s w: 0 0.00/0.23 #r w: x1 0.00/0.23 #c w: 0 0.00/0.23 #t w: 0 0.00/0.23 USABLE RULES: { } 0.00/0.23 Removed DPs: #2 #13 0.00/0.23 Number of SCCs: 1, DPs: 4 0.00/0.23 SCC { #5 #9 #11 #12 } 0.00/0.23 POLO(Sum)... succeeded. 0.00/0.23 s w: x1 + 1 0.00/0.23 n w: x1 + 1 0.00/0.23 b w: x1 + 1 0.00/0.23 u w: x1 + 2 0.00/0.23 r w: x1 + 2 0.00/0.23 t w: 0 0.00/0.23 c w: x1 + 1 0.00/0.23 #s w: 0 0.00/0.23 #r w: 0 0.00/0.23 #c w: x1 0.00/0.23 #t w: 0 0.00/0.23 USABLE RULES: { } 0.00/0.23 Removed DPs: #5 #9 #11 #12 0.00/0.23 Number of SCCs: 0, DPs: 0 0.00/0.23 EOF