0.00/0.06 YES 0.00/0.06 Input TRS: 0.00/0.06 1: r(e(x1)) -> w(r(x1)) 0.00/0.06 2: i(t(x1)) -> e(r(x1)) 0.00/0.06 3: e(w(x1)) -> r(i(x1)) 0.00/0.06 4: t(e(x1)) -> r(e(x1)) 0.00/0.06 5: w(r(x1)) -> i(t(x1)) 0.00/0.06 6: e(r(x1)) -> e(w(x1)) 0.00/0.06 7: r(i(t(e(r(x1))))) -> e(w(r(i(t(e(x1)))))) 0.00/0.06 Number of strict rules: 7 0.00/0.06 Direct POLO(bPol) ... removes: 4 6 0.00/0.06 r w: x1 + 2 0.00/0.06 t w: x1 + 3 0.00/0.06 w w: x1 + 1 0.00/0.06 i w: x1 0.00/0.06 e w: x1 + 1 0.00/0.06 Number of strict rules: 5 0.00/0.06 Direct POLO(bPol) ... failed. 0.00/0.06 Uncurrying i 0.00/0.06 1: r(e(x1)) -> w(r(x1)) 0.00/0.06 2: i^1_t(x1) -> e(r(x1)) 0.00/0.06 3: e(w(x1)) -> r(i(x1)) 0.00/0.06 5: w(r(x1)) -> i^1_t(x1) 0.00/0.06 7: r(i^1_t(e(r(x1)))) -> e(w(r(i^1_t(e(x1))))) 0.00/0.06 8: i(t(_1)) ->= i^1_t(_1) 0.00/0.06 Number of strict rules: 5 0.00/0.06 Direct POLO(bPol) ... removes: 8 0.00/0.06 r w: x1 + 2 0.00/0.06 i^1_t w: x1 + 3 0.00/0.06 t w: x1 + 4 0.00/0.06 w w: x1 + 1 0.00/0.06 i w: x1 0.00/0.06 e w: x1 + 1 0.00/0.06 Number of strict rules: 5 0.00/0.06 Direct POLO(bPol) ... failed. 0.00/0.06 Dependency Pairs: 0.00/0.06 #1: #i^1_t(x1) -> #e(r(x1)) 0.00/0.06 #2: #i^1_t(x1) -> #r(x1) 0.00/0.06 #3: #r(i^1_t(e(r(x1)))) -> #e(w(r(i^1_t(e(x1))))) 0.00/0.06 #4: #r(i^1_t(e(r(x1)))) -> #w(r(i^1_t(e(x1)))) 0.00/0.06 #5: #r(i^1_t(e(r(x1)))) -> #r(i^1_t(e(x1))) 0.00/0.06 #6: #r(i^1_t(e(r(x1)))) -> #i^1_t(e(x1)) 0.00/0.06 #7: #r(i^1_t(e(r(x1)))) -> #e(x1) 0.00/0.06 #8: #w(r(x1)) -> #i^1_t(x1) 0.00/0.06 #9: #e(w(x1)) -> #r(i(x1)) 0.00/0.06 #10: #r(e(x1)) -> #w(r(x1)) 0.00/0.06 #11: #r(e(x1)) -> #r(x1) 0.00/0.06 Number of SCCs: 1, DPs: 7 0.00/0.06 SCC { #2 #4..6 #8 #10 #11 } 0.00/0.06 POLO(Sum)... succeeded. 0.00/0.06 #w w: x1 0.00/0.06 #e w: 0 0.00/0.06 r w: x1 + 6 0.00/0.06 i^1_t w: x1 + 9 0.00/0.06 t w: 0 0.00/0.06 w w: x1 + 3 0.00/0.06 i w: 0 0.00/0.06 #r w: x1 + 4 0.00/0.06 e w: x1 + 3 0.00/0.06 #i^1_t w: x1 + 5 0.00/0.06 USABLE RULES: { 1..3 5 7 } 0.00/0.06 Removed DPs: #2 #4..6 #8 #10 #11 0.00/0.06 Number of SCCs: 0, DPs: 0 0.00/0.06 EOF