41.38/10.98 YES 41.38/10.99 41.38/10.99 Problem: 41.38/10.99 a12(a12(x1)) -> x1 41.38/10.99 a13(a13(x1)) -> x1 41.38/10.99 a14(a14(x1)) -> x1 41.38/10.99 a15(a15(x1)) -> x1 41.38/10.99 a16(a16(x1)) -> x1 41.38/10.99 a23(a23(x1)) -> x1 41.38/10.99 a24(a24(x1)) -> x1 41.38/10.99 a25(a25(x1)) -> x1 41.38/10.99 a26(a26(x1)) -> x1 41.38/10.99 a34(a34(x1)) -> x1 41.38/10.99 a35(a35(x1)) -> x1 41.38/10.99 a36(a36(x1)) -> x1 41.38/10.99 a45(a45(x1)) -> x1 41.38/10.99 a46(a46(x1)) -> x1 41.38/10.99 a56(a56(x1)) -> x1 41.38/10.99 a13(x1) -> a12(a23(a12(x1))) 41.38/10.99 a14(x1) -> a12(a23(a34(a23(a12(x1))))) 41.38/10.99 a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) 41.38/10.99 a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 41.38/10.99 a24(x1) -> a23(a34(a23(x1))) 41.38/10.99 a25(x1) -> a23(a34(a45(a34(a23(x1))))) 41.38/10.99 a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) 41.38/10.99 a35(x1) -> a34(a45(a34(x1))) 41.38/10.99 a36(x1) -> a34(a45(a56(a45(a34(x1))))) 41.38/10.99 a46(x1) -> a45(a56(a45(x1))) 41.38/10.99 a12(a23(a12(a23(a12(a23(x1)))))) -> x1 41.38/10.99 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 41.38/10.99 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 41.38/10.99 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 41.38/10.99 a12(a34(x1)) -> a34(a12(x1)) 41.38/10.99 a12(a45(x1)) -> a45(a12(x1)) 41.38/10.99 a12(a56(x1)) -> a56(a12(x1)) 41.38/10.99 a23(a45(x1)) -> a45(a23(x1)) 41.38/10.99 a23(a56(x1)) -> a56(a23(x1)) 41.38/10.99 a34(a56(x1)) -> a56(a34(x1)) 41.38/10.99 41.38/10.99 Proof: 41.38/10.99 DP Processor: 41.38/10.99 DPs: 41.38/10.99 a13#(x1) -> a12#(x1) 41.38/10.99 a13#(x1) -> a23#(a12(x1)) 41.38/10.99 a13#(x1) -> a12#(a23(a12(x1))) 41.38/10.99 a14#(x1) -> a12#(x1) 41.38/10.99 a14#(x1) -> a23#(a12(x1)) 41.38/10.99 a14#(x1) -> a34#(a23(a12(x1))) 41.38/10.99 a14#(x1) -> a23#(a34(a23(a12(x1)))) 41.38/10.99 a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) 41.38/10.99 a15#(x1) -> a12#(x1) 41.38/10.99 a15#(x1) -> a23#(a12(x1)) 41.38/10.99 a15#(x1) -> a34#(a23(a12(x1))) 41.38/10.99 a15#(x1) -> a45#(a34(a23(a12(x1)))) 41.38/10.99 a15#(x1) -> a34#(a45(a34(a23(a12(x1))))) 41.38/10.99 a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) 41.38/10.99 a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) 41.38/10.99 a16#(x1) -> a12#(x1) 41.38/10.99 a16#(x1) -> a23#(a12(x1)) 41.38/10.99 a16#(x1) -> a34#(a23(a12(x1))) 41.38/10.99 a16#(x1) -> a45#(a34(a23(a12(x1)))) 41.38/10.99 a16#(x1) -> a56#(a45(a34(a23(a12(x1))))) 41.38/10.99 a16#(x1) -> a45#(a56(a45(a34(a23(a12(x1)))))) 41.38/10.99 a16#(x1) -> a34#(a45(a56(a45(a34(a23(a12(x1))))))) 41.38/10.99 a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) 41.38/10.99 a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 41.38/10.99 a24#(x1) -> a23#(x1) 41.38/10.99 a24#(x1) -> a34#(a23(x1)) 41.38/10.99 a24#(x1) -> a23#(a34(a23(x1))) 41.38/10.99 a25#(x1) -> a23#(x1) 41.38/10.99 a25#(x1) -> a34#(a23(x1)) 41.38/10.99 a25#(x1) -> a45#(a34(a23(x1))) 41.38/10.99 a25#(x1) -> a34#(a45(a34(a23(x1)))) 41.38/10.99 a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) 41.38/10.99 a26#(x1) -> a23#(x1) 41.38/10.99 a26#(x1) -> a34#(a23(x1)) 41.38/10.99 a26#(x1) -> a45#(a34(a23(x1))) 41.38/10.99 a26#(x1) -> a56#(a45(a34(a23(x1)))) 41.38/10.99 a26#(x1) -> a45#(a56(a45(a34(a23(x1))))) 41.38/10.99 a26#(x1) -> a34#(a45(a56(a45(a34(a23(x1)))))) 41.38/10.99 a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) 41.38/10.99 a35#(x1) -> a34#(x1) 41.38/10.99 a35#(x1) -> a45#(a34(x1)) 41.38/10.99 a35#(x1) -> a34#(a45(a34(x1))) 41.38/10.99 a36#(x1) -> a34#(x1) 41.38/10.99 a36#(x1) -> a45#(a34(x1)) 41.38/10.99 a36#(x1) -> a56#(a45(a34(x1))) 41.38/10.99 a36#(x1) -> a45#(a56(a45(a34(x1)))) 41.38/10.99 a36#(x1) -> a34#(a45(a56(a45(a34(x1))))) 41.38/10.99 a46#(x1) -> a45#(x1) 41.38/10.99 a46#(x1) -> a56#(a45(x1)) 41.38/10.99 a46#(x1) -> a45#(a56(a45(x1))) 41.38/10.99 a12#(a34(x1)) -> a12#(x1) 41.38/10.99 a12#(a34(x1)) -> a34#(a12(x1)) 41.38/10.99 a12#(a45(x1)) -> a12#(x1) 41.38/10.99 a12#(a45(x1)) -> a45#(a12(x1)) 41.38/10.99 a12#(a56(x1)) -> a12#(x1) 41.38/10.99 a12#(a56(x1)) -> a56#(a12(x1)) 41.38/10.99 a23#(a45(x1)) -> a23#(x1) 41.38/10.99 a23#(a45(x1)) -> a45#(a23(x1)) 41.38/10.99 a23#(a56(x1)) -> a23#(x1) 41.38/10.99 a23#(a56(x1)) -> a56#(a23(x1)) 41.38/10.99 a34#(a56(x1)) -> a34#(x1) 41.38/10.99 a34#(a56(x1)) -> a56#(a34(x1)) 41.38/10.99 TRS: 41.38/10.99 a12(a12(x1)) -> x1 41.38/10.99 a13(a13(x1)) -> x1 41.38/10.99 a14(a14(x1)) -> x1 41.38/10.99 a15(a15(x1)) -> x1 41.38/10.99 a16(a16(x1)) -> x1 41.38/10.99 a23(a23(x1)) -> x1 41.38/10.99 a24(a24(x1)) -> x1 41.38/10.99 a25(a25(x1)) -> x1 41.38/10.99 a26(a26(x1)) -> x1 41.38/10.99 a34(a34(x1)) -> x1 41.38/10.99 a35(a35(x1)) -> x1 41.38/10.99 a36(a36(x1)) -> x1 41.38/10.99 a45(a45(x1)) -> x1 41.38/10.99 a46(a46(x1)) -> x1 41.38/10.99 a56(a56(x1)) -> x1 41.38/10.99 a13(x1) -> a12(a23(a12(x1))) 41.38/10.99 a14(x1) -> a12(a23(a34(a23(a12(x1))))) 41.38/10.99 a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) 41.38/10.99 a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 41.38/10.99 a24(x1) -> a23(a34(a23(x1))) 41.38/10.99 a25(x1) -> a23(a34(a45(a34(a23(x1))))) 41.38/10.99 a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) 41.38/10.99 a35(x1) -> a34(a45(a34(x1))) 41.38/10.99 a36(x1) -> a34(a45(a56(a45(a34(x1))))) 41.38/10.99 a46(x1) -> a45(a56(a45(x1))) 41.38/10.99 a12(a23(a12(a23(a12(a23(x1)))))) -> x1 41.38/10.99 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 41.38/10.99 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 41.38/10.99 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 41.38/10.99 a12(a34(x1)) -> a34(a12(x1)) 41.38/10.99 a12(a45(x1)) -> a45(a12(x1)) 41.38/10.99 a12(a56(x1)) -> a56(a12(x1)) 41.38/10.99 a23(a45(x1)) -> a45(a23(x1)) 41.38/10.99 a23(a56(x1)) -> a56(a23(x1)) 41.38/10.99 a34(a56(x1)) -> a56(a34(x1)) 41.38/10.99 TDG Processor: 41.38/10.99 DPs: 41.38/10.99 a13#(x1) -> a12#(x1) 41.38/10.99 a13#(x1) -> a23#(a12(x1)) 41.38/10.99 a13#(x1) -> a12#(a23(a12(x1))) 41.38/10.99 a14#(x1) -> a12#(x1) 41.38/10.99 a14#(x1) -> a23#(a12(x1)) 41.38/10.99 a14#(x1) -> a34#(a23(a12(x1))) 41.38/10.99 a14#(x1) -> a23#(a34(a23(a12(x1)))) 41.38/10.99 a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) 41.38/10.99 a15#(x1) -> a12#(x1) 41.38/10.99 a15#(x1) -> a23#(a12(x1)) 41.38/10.99 a15#(x1) -> a34#(a23(a12(x1))) 41.38/10.99 a15#(x1) -> a45#(a34(a23(a12(x1)))) 41.38/10.99 a15#(x1) -> a34#(a45(a34(a23(a12(x1))))) 41.38/10.99 a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) 41.38/10.99 a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) 41.38/10.99 a16#(x1) -> a12#(x1) 41.38/10.99 a16#(x1) -> a23#(a12(x1)) 41.38/10.99 a16#(x1) -> a34#(a23(a12(x1))) 41.38/10.99 a16#(x1) -> a45#(a34(a23(a12(x1)))) 41.38/10.99 a16#(x1) -> a56#(a45(a34(a23(a12(x1))))) 41.38/10.99 a16#(x1) -> a45#(a56(a45(a34(a23(a12(x1)))))) 41.38/10.99 a16#(x1) -> a34#(a45(a56(a45(a34(a23(a12(x1))))))) 41.38/10.99 a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) 41.38/10.99 a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 41.38/10.99 a24#(x1) -> a23#(x1) 41.38/10.99 a24#(x1) -> a34#(a23(x1)) 41.38/10.99 a24#(x1) -> a23#(a34(a23(x1))) 41.38/10.99 a25#(x1) -> a23#(x1) 41.38/10.99 a25#(x1) -> a34#(a23(x1)) 41.38/10.99 a25#(x1) -> a45#(a34(a23(x1))) 41.38/10.99 a25#(x1) -> a34#(a45(a34(a23(x1)))) 41.38/10.99 a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) 41.38/10.99 a26#(x1) -> a23#(x1) 41.38/10.99 a26#(x1) -> a34#(a23(x1)) 41.38/10.99 a26#(x1) -> a45#(a34(a23(x1))) 41.38/10.99 a26#(x1) -> a56#(a45(a34(a23(x1)))) 41.38/10.99 a26#(x1) -> a45#(a56(a45(a34(a23(x1))))) 41.38/10.99 a26#(x1) -> a34#(a45(a56(a45(a34(a23(x1)))))) 41.38/10.99 a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) 41.38/10.99 a35#(x1) -> a34#(x1) 41.38/10.99 a35#(x1) -> a45#(a34(x1)) 41.38/10.99 a35#(x1) -> a34#(a45(a34(x1))) 41.38/10.99 a36#(x1) -> a34#(x1) 41.38/10.99 a36#(x1) -> a45#(a34(x1)) 41.38/10.99 a36#(x1) -> a56#(a45(a34(x1))) 41.38/10.99 a36#(x1) -> a45#(a56(a45(a34(x1)))) 41.38/10.99 a36#(x1) -> a34#(a45(a56(a45(a34(x1))))) 41.38/10.99 a46#(x1) -> a45#(x1) 41.38/10.99 a46#(x1) -> a56#(a45(x1)) 41.38/10.99 a46#(x1) -> a45#(a56(a45(x1))) 41.38/10.99 a12#(a34(x1)) -> a12#(x1) 41.38/10.99 a12#(a34(x1)) -> a34#(a12(x1)) 41.38/10.99 a12#(a45(x1)) -> a12#(x1) 41.38/10.99 a12#(a45(x1)) -> a45#(a12(x1)) 41.38/10.99 a12#(a56(x1)) -> a12#(x1) 41.38/10.99 a12#(a56(x1)) -> a56#(a12(x1)) 41.38/10.99 a23#(a45(x1)) -> a23#(x1) 41.38/10.99 a23#(a45(x1)) -> a45#(a23(x1)) 41.38/10.99 a23#(a56(x1)) -> a23#(x1) 41.38/10.99 a23#(a56(x1)) -> a56#(a23(x1)) 41.38/10.99 a34#(a56(x1)) -> a34#(x1) 41.38/10.99 a34#(a56(x1)) -> a56#(a34(x1)) 41.38/10.99 TRS: 41.38/10.99 a12(a12(x1)) -> x1 41.38/10.99 a13(a13(x1)) -> x1 41.38/10.99 a14(a14(x1)) -> x1 41.38/10.99 a15(a15(x1)) -> x1 41.38/10.99 a16(a16(x1)) -> x1 41.38/10.99 a23(a23(x1)) -> x1 41.38/10.99 a24(a24(x1)) -> x1 41.38/10.99 a25(a25(x1)) -> x1 41.38/10.99 a26(a26(x1)) -> x1 41.38/10.99 a34(a34(x1)) -> x1 41.38/10.99 a35(a35(x1)) -> x1 41.38/10.99 a36(a36(x1)) -> x1 41.38/10.99 a45(a45(x1)) -> x1 41.38/10.99 a46(a46(x1)) -> x1 41.38/10.99 a56(a56(x1)) -> x1 41.38/10.99 a13(x1) -> a12(a23(a12(x1))) 41.38/10.99 a14(x1) -> a12(a23(a34(a23(a12(x1))))) 41.38/10.99 a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) 41.38/10.99 a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 41.38/10.99 a24(x1) -> a23(a34(a23(x1))) 41.38/10.99 a25(x1) -> a23(a34(a45(a34(a23(x1))))) 41.38/10.99 a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) 41.38/10.99 a35(x1) -> a34(a45(a34(x1))) 41.38/10.99 a36(x1) -> a34(a45(a56(a45(a34(x1))))) 41.38/10.99 a46(x1) -> a45(a56(a45(x1))) 41.38/10.99 a12(a23(a12(a23(a12(a23(x1)))))) -> x1 41.38/10.99 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 41.38/10.99 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 41.38/10.99 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 41.38/10.99 a12(a34(x1)) -> a34(a12(x1)) 41.38/10.99 a12(a45(x1)) -> a45(a12(x1)) 41.38/10.99 a12(a56(x1)) -> a56(a12(x1)) 41.38/10.99 a23(a45(x1)) -> a45(a23(x1)) 41.38/10.99 a23(a56(x1)) -> a56(a23(x1)) 41.38/10.99 a34(a56(x1)) -> a56(a34(x1)) 41.38/10.99 graph: 41.38/10.99 a36#(x1) -> a34#(a45(a56(a45(a34(x1))))) -> 41.38/10.99 a34#(a56(x1)) -> a56#(a34(x1)) 41.38/10.99 a36#(x1) -> a34#(a45(a56(a45(a34(x1))))) -> a34#(a56(x1)) -> a34#(x1) 41.38/10.99 a36#(x1) -> a34#(x1) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/10.99 a36#(x1) -> a34#(x1) -> a34#(a56(x1)) -> a34#(x1) 41.38/10.99 a35#(x1) -> a34#(a45(a34(x1))) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/10.99 a35#(x1) -> a34#(a45(a34(x1))) -> a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a35#(x1) -> a34#(x1) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.00 a35#(x1) -> a34#(x1) -> a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a34#(a56(x1)) -> a34#(x1) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.00 a34#(a56(x1)) -> a34#(x1) -> 41.38/11.00 a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a26#(x1) -> a34#(a45(a56(a45(a34(a23(x1)))))) -> 41.38/11.00 a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.00 a26#(x1) -> a34#(a45(a56(a45(a34(a23(x1)))))) -> 41.38/11.00 a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a26#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.00 a26#(x1) -> a34#(a23(x1)) -> 41.38/11.00 a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) -> 41.38/11.00 a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) -> 41.38/11.00 a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) -> 41.38/11.00 a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) -> 41.38/11.00 a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a26#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a26#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a26#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a26#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a25#(x1) -> a34#(a45(a34(a23(x1)))) -> 41.38/11.00 a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.00 a25#(x1) -> a34#(a45(a34(a23(x1)))) -> a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a25#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.00 a25#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) -> 41.38/11.00 a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) -> 41.38/11.00 a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) -> 41.38/11.00 a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) -> a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a25#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a25#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a25#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a25#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a24#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.00 a24#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a24#(x1) -> a23#(a34(a23(x1))) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a24#(x1) -> a23#(a34(a23(x1))) -> a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a24#(x1) -> a23#(a34(a23(x1))) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a24#(x1) -> a23#(a34(a23(x1))) -> a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a24#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a24#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a24#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a24#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a23#(a56(x1)) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a23#(a56(x1)) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a23#(a56(x1)) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a23#(a56(x1)) -> a23#(x1) -> a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a23#(a45(x1)) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a23#(a45(x1)) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a23#(a45(x1)) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a23#(a45(x1)) -> a23#(x1) -> 41.38/11.00 a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a16#(x1) -> a34#(a45(a56(a45(a34(a23(a12(x1))))))) -> 41.38/11.00 a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.00 a16#(x1) -> a34#(a45(a56(a45(a34(a23(a12(x1))))))) -> 41.38/11.00 a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a16#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.00 a16#(x1) -> a34#(a23(a12(x1))) -> 41.38/11.00 a34#(a56(x1)) -> a34#(x1) 41.38/11.00 a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) -> 41.38/11.00 a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) -> 41.38/11.00 a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) -> 41.38/11.00 a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) -> 41.38/11.00 a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a16#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.00 a16#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a23#(x1) 41.38/11.00 a16#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.00 a16#(x1) -> a23#(a12(x1)) -> 41.38/11.00 a23#(a45(x1)) -> a23#(x1) 41.38/11.00 a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> 41.38/11.00 a12#(a56(x1)) -> a56#(a12(x1)) 41.38/11.01 a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> 41.38/11.01 a12#(a56(x1)) -> a12#(x1) 41.38/11.01 a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> 41.38/11.01 a12#(a45(x1)) -> a45#(a12(x1)) 41.38/11.01 a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> 41.38/11.01 a12#(a45(x1)) -> a12#(x1) 41.38/11.01 a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> 41.38/11.01 a12#(a34(x1)) -> a34#(a12(x1)) 41.38/11.01 a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> 41.38/11.01 a12#(a34(x1)) -> a12#(x1) 41.38/11.01 a16#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) 41.38/11.01 a16#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) 41.38/11.01 a16#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) 41.38/11.01 a16#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) 41.38/11.01 a16#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) 41.38/11.01 a16#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) 41.38/11.01 a15#(x1) -> a34#(a45(a34(a23(a12(x1))))) -> 41.38/11.01 a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.01 a15#(x1) -> a34#(a45(a34(a23(a12(x1))))) -> 41.38/11.01 a34#(a56(x1)) -> a34#(x1) 41.38/11.01 a15#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.01 a15#(x1) -> a34#(a23(a12(x1))) -> 41.38/11.01 a34#(a56(x1)) -> a34#(x1) 41.38/11.01 a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) -> 41.38/11.01 a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.01 a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) -> 41.38/11.01 a23#(a56(x1)) -> a23#(x1) 41.38/11.01 a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) -> 41.38/11.01 a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.01 a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) -> 41.38/11.01 a23#(a45(x1)) -> a23#(x1) 41.38/11.01 a15#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.01 a15#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a23#(x1) 41.38/11.01 a15#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.01 a15#(x1) -> a23#(a12(x1)) -> 41.38/11.01 a23#(a45(x1)) -> a23#(x1) 41.38/11.01 a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> 41.38/11.01 a12#(a56(x1)) -> a56#(a12(x1)) 41.38/11.01 a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> 41.38/11.01 a12#(a56(x1)) -> a12#(x1) 41.38/11.01 a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> 41.38/11.01 a12#(a45(x1)) -> a45#(a12(x1)) 41.38/11.01 a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> 41.38/11.01 a12#(a45(x1)) -> a12#(x1) 41.38/11.01 a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> 41.38/11.01 a12#(a34(x1)) -> a34#(a12(x1)) 41.38/11.01 a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> 41.38/11.01 a12#(a34(x1)) -> a12#(x1) 41.38/11.01 a15#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) 41.38/11.01 a15#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) 41.38/11.01 a15#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) 41.38/11.01 a15#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) 41.38/11.01 a15#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) 41.38/11.01 a15#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) 41.38/11.01 a14#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.38/11.01 a14#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a34#(x1) 41.38/11.01 a14#(x1) -> a23#(a34(a23(a12(x1)))) -> 41.38/11.01 a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.01 a14#(x1) -> a23#(a34(a23(a12(x1)))) -> 41.38/11.01 a23#(a56(x1)) -> a23#(x1) 41.38/11.01 a14#(x1) -> a23#(a34(a23(a12(x1)))) -> 41.38/11.01 a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.01 a14#(x1) -> a23#(a34(a23(a12(x1)))) -> a23#(a45(x1)) -> a23#(x1) 41.38/11.01 a14#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.38/11.01 a14#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a23#(x1) 41.38/11.01 a14#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.38/11.01 a14#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a23#(x1) 41.38/11.01 a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> 41.38/11.01 a12#(a56(x1)) -> a56#(a12(x1)) 41.38/11.01 a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> 41.38/11.01 a12#(a56(x1)) -> a12#(x1) 41.38/11.01 a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> 41.38/11.01 a12#(a45(x1)) -> a45#(a12(x1)) 41.38/11.01 a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> 41.38/11.01 a12#(a45(x1)) -> a12#(x1) 41.38/11.01 a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> 41.38/11.01 a12#(a34(x1)) -> a34#(a12(x1)) 41.38/11.01 a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> a12#(a34(x1)) -> a12#(x1) 41.38/11.01 a14#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) 41.38/11.01 a14#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) 41.38/11.01 a14#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) 41.38/11.01 a14#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) 41.38/11.01 a14#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) 41.38/11.01 a14#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) 41.42/11.02 a13#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a56#(a23(x1)) 41.42/11.02 a13#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a23#(x1) 41.42/11.02 a13#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a45#(a23(x1)) 41.42/11.02 a13#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a23#(x1) 41.42/11.02 a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a56(x1)) -> a56#(a12(x1)) 41.42/11.02 a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a56(x1)) -> a12#(x1) 41.42/11.02 a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a45(x1)) -> a45#(a12(x1)) 41.42/11.02 a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a45(x1)) -> a12#(x1) 41.42/11.02 a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a34(x1)) -> a34#(a12(x1)) 41.42/11.02 a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a34(x1)) -> a12#(x1) 41.42/11.02 a13#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) 41.42/11.02 a13#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) 41.42/11.02 a13#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) 41.42/11.02 a13#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) 41.42/11.02 a13#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) 41.42/11.02 a13#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) 41.42/11.02 a12#(a56(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) 41.42/11.02 a12#(a56(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) 41.42/11.02 a12#(a56(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) 41.42/11.02 a12#(a56(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) 41.42/11.02 a12#(a56(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) 41.42/11.02 a12#(a56(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) 41.42/11.02 a12#(a45(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) 41.42/11.02 a12#(a45(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) 41.42/11.02 a12#(a45(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) 41.42/11.02 a12#(a45(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) 41.42/11.02 a12#(a45(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) 41.42/11.02 a12#(a45(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) 41.42/11.02 a12#(a34(x1)) -> a34#(a12(x1)) -> a34#(a56(x1)) -> a56#(a34(x1)) 41.42/11.02 a12#(a34(x1)) -> a34#(a12(x1)) -> a34#(a56(x1)) -> a34#(x1) 41.42/11.02 a12#(a34(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) 41.42/11.02 a12#(a34(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) 41.42/11.02 a12#(a34(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) 41.42/11.02 a12#(a34(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) 41.42/11.02 a12#(a34(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) 41.42/11.02 a12#(a34(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) 41.42/11.02 SCC Processor: 41.42/11.02 #sccs: 3 41.42/11.02 #rules: 6 41.42/11.02 #arcs: 158/3844 41.42/11.02 DPs: 41.42/11.02 a12#(a34(x1)) -> a12#(x1) 41.42/11.02 a12#(a45(x1)) -> a12#(x1) 41.42/11.02 a12#(a56(x1)) -> a12#(x1) 41.42/11.02 TRS: 41.42/11.02 a12(a12(x1)) -> x1 41.42/11.02 a13(a13(x1)) -> x1 41.42/11.02 a14(a14(x1)) -> x1 41.42/11.02 a15(a15(x1)) -> x1 41.42/11.02 a16(a16(x1)) -> x1 41.42/11.02 a23(a23(x1)) -> x1 41.42/11.02 a24(a24(x1)) -> x1 41.42/11.02 a25(a25(x1)) -> x1 41.42/11.02 a26(a26(x1)) -> x1 41.42/11.02 a34(a34(x1)) -> x1 41.42/11.02 a35(a35(x1)) -> x1 41.42/11.02 a36(a36(x1)) -> x1 41.42/11.02 a45(a45(x1)) -> x1 41.42/11.02 a46(a46(x1)) -> x1 41.42/11.02 a56(a56(x1)) -> x1 41.42/11.02 a13(x1) -> a12(a23(a12(x1))) 41.42/11.02 a14(x1) -> a12(a23(a34(a23(a12(x1))))) 41.42/11.02 a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) 41.42/11.02 a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 41.42/11.02 a24(x1) -> a23(a34(a23(x1))) 41.42/11.02 a25(x1) -> a23(a34(a45(a34(a23(x1))))) 41.42/11.02 a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) 41.42/11.02 a35(x1) -> a34(a45(a34(x1))) 41.42/11.02 a36(x1) -> a34(a45(a56(a45(a34(x1))))) 41.42/11.02 a46(x1) -> a45(a56(a45(x1))) 41.42/11.02 a12(a23(a12(a23(a12(a23(x1)))))) -> x1 41.42/11.02 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 41.42/11.02 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 41.42/11.02 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 41.42/11.02 a12(a34(x1)) -> a34(a12(x1)) 41.42/11.02 a12(a45(x1)) -> a45(a12(x1)) 41.42/11.02 a12(a56(x1)) -> a56(a12(x1)) 41.42/11.02 a23(a45(x1)) -> a45(a23(x1)) 41.42/11.02 a23(a56(x1)) -> a56(a23(x1)) 41.42/11.02 a34(a56(x1)) -> a56(a34(x1)) 41.42/11.02 Usable Rule Processor: 41.42/11.02 DPs: 41.42/11.02 a12#(a34(x1)) -> a12#(x1) 41.42/11.02 a12#(a45(x1)) -> a12#(x1) 41.42/11.02 a12#(a56(x1)) -> a12#(x1) 41.42/11.02 TRS: 41.42/11.02 41.42/11.02 Polynomial Interpretation Processor: 41.42/11.02 dimension: 1 41.42/11.02 interpretation: 41.42/11.02 [a12#](x0) = x0 + 1, 41.42/11.02 41.42/11.02 [a56](x0) = x0 + 1, 41.42/11.02 41.42/11.02 [a45](x0) = x0, 41.42/11.02 41.42/11.02 [a34](x0) = x0 + 1 41.42/11.02 orientation: 41.42/11.02 a12#(a34(x1)) = x1 + 2 >= x1 + 1 = a12#(x1) 41.42/11.02 41.42/11.02 a12#(a45(x1)) = x1 + 1 >= x1 + 1 = a12#(x1) 41.42/11.02 41.42/11.02 a12#(a56(x1)) = x1 + 2 >= x1 + 1 = a12#(x1) 41.42/11.02 problem: 41.42/11.02 DPs: 41.42/11.02 a12#(a45(x1)) -> a12#(x1) 41.42/11.02 TRS: 41.42/11.02 41.42/11.02 Polynomial Interpretation Processor: 41.42/11.02 dimension: 1 41.42/11.02 interpretation: 41.42/11.02 [a12#](x0) = x0, 41.42/11.02 41.42/11.02 [a45](x0) = x0 + 1 41.42/11.02 orientation: 41.42/11.02 a12#(a45(x1)) = x1 + 1 >= x1 = a12#(x1) 41.42/11.02 problem: 41.42/11.02 DPs: 41.42/11.02 41.42/11.02 TRS: 41.42/11.02 41.42/11.02 Qed 41.42/11.02 41.42/11.02 DPs: 41.42/11.02 a23#(a45(x1)) -> a23#(x1) 41.42/11.02 a23#(a56(x1)) -> a23#(x1) 41.42/11.02 TRS: 41.42/11.02 a12(a12(x1)) -> x1 41.42/11.02 a13(a13(x1)) -> x1 41.42/11.02 a14(a14(x1)) -> x1 41.42/11.02 a15(a15(x1)) -> x1 41.42/11.02 a16(a16(x1)) -> x1 41.42/11.02 a23(a23(x1)) -> x1 41.42/11.02 a24(a24(x1)) -> x1 41.42/11.02 a25(a25(x1)) -> x1 41.42/11.02 a26(a26(x1)) -> x1 41.42/11.02 a34(a34(x1)) -> x1 41.42/11.02 a35(a35(x1)) -> x1 41.42/11.02 a36(a36(x1)) -> x1 41.42/11.02 a45(a45(x1)) -> x1 41.42/11.02 a46(a46(x1)) -> x1 41.42/11.02 a56(a56(x1)) -> x1 41.42/11.02 a13(x1) -> a12(a23(a12(x1))) 41.42/11.02 a14(x1) -> a12(a23(a34(a23(a12(x1))))) 41.42/11.02 a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) 41.42/11.02 a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 41.42/11.02 a24(x1) -> a23(a34(a23(x1))) 41.42/11.02 a25(x1) -> a23(a34(a45(a34(a23(x1))))) 41.42/11.02 a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) 41.42/11.02 a35(x1) -> a34(a45(a34(x1))) 41.42/11.02 a36(x1) -> a34(a45(a56(a45(a34(x1))))) 41.42/11.02 a46(x1) -> a45(a56(a45(x1))) 41.42/11.02 a12(a23(a12(a23(a12(a23(x1)))))) -> x1 41.42/11.02 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 41.42/11.02 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 41.42/11.02 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 41.42/11.02 a12(a34(x1)) -> a34(a12(x1)) 41.42/11.02 a12(a45(x1)) -> a45(a12(x1)) 41.42/11.02 a12(a56(x1)) -> a56(a12(x1)) 41.42/11.02 a23(a45(x1)) -> a45(a23(x1)) 41.42/11.02 a23(a56(x1)) -> a56(a23(x1)) 41.42/11.02 a34(a56(x1)) -> a56(a34(x1)) 41.42/11.02 Usable Rule Processor: 41.42/11.02 DPs: 41.42/11.02 a23#(a45(x1)) -> a23#(x1) 41.42/11.02 a23#(a56(x1)) -> a23#(x1) 41.42/11.02 TRS: 41.42/11.02 41.42/11.02 Polynomial Interpretation Processor: 41.42/11.02 dimension: 1 41.42/11.02 interpretation: 41.42/11.02 [a23#](x0) = x0 + 1, 41.42/11.02 41.42/11.02 [a56](x0) = x0 + 1, 41.42/11.02 41.42/11.02 [a45](x0) = x0 41.42/11.02 orientation: 41.42/11.02 a23#(a45(x1)) = x1 + 1 >= x1 + 1 = a23#(x1) 41.42/11.02 41.42/11.02 a23#(a56(x1)) = x1 + 2 >= x1 + 1 = a23#(x1) 41.42/11.02 problem: 41.42/11.02 DPs: 41.42/11.02 a23#(a45(x1)) -> a23#(x1) 41.42/11.02 TRS: 41.42/11.02 41.42/11.02 Polynomial Interpretation Processor: 41.42/11.02 dimension: 1 41.42/11.02 interpretation: 41.42/11.02 [a23#](x0) = x0, 41.42/11.02 41.42/11.02 [a45](x0) = x0 + 1 41.42/11.02 orientation: 41.42/11.02 a23#(a45(x1)) = x1 + 1 >= x1 = a23#(x1) 41.42/11.02 problem: 41.42/11.02 DPs: 41.42/11.02 41.42/11.02 TRS: 41.42/11.02 41.42/11.02 Qed 41.42/11.02 41.42/11.02 DPs: 41.42/11.02 a34#(a56(x1)) -> a34#(x1) 41.42/11.02 TRS: 41.42/11.02 a12(a12(x1)) -> x1 41.42/11.02 a13(a13(x1)) -> x1 41.42/11.02 a14(a14(x1)) -> x1 41.42/11.02 a15(a15(x1)) -> x1 41.42/11.02 a16(a16(x1)) -> x1 41.42/11.02 a23(a23(x1)) -> x1 41.42/11.02 a24(a24(x1)) -> x1 41.42/11.02 a25(a25(x1)) -> x1 41.42/11.02 a26(a26(x1)) -> x1 41.42/11.02 a34(a34(x1)) -> x1 41.42/11.02 a35(a35(x1)) -> x1 41.42/11.02 a36(a36(x1)) -> x1 41.42/11.02 a45(a45(x1)) -> x1 41.42/11.02 a46(a46(x1)) -> x1 41.42/11.02 a56(a56(x1)) -> x1 41.42/11.02 a13(x1) -> a12(a23(a12(x1))) 41.42/11.02 a14(x1) -> a12(a23(a34(a23(a12(x1))))) 41.42/11.02 a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) 41.42/11.02 a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 41.42/11.02 a24(x1) -> a23(a34(a23(x1))) 41.42/11.02 a25(x1) -> a23(a34(a45(a34(a23(x1))))) 41.42/11.02 a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) 41.42/11.02 a35(x1) -> a34(a45(a34(x1))) 41.42/11.02 a36(x1) -> a34(a45(a56(a45(a34(x1))))) 41.42/11.02 a46(x1) -> a45(a56(a45(x1))) 41.42/11.02 a12(a23(a12(a23(a12(a23(x1)))))) -> x1 41.42/11.02 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 41.42/11.02 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 41.42/11.02 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 41.42/11.02 a12(a34(x1)) -> a34(a12(x1)) 41.42/11.02 a12(a45(x1)) -> a45(a12(x1)) 41.42/11.02 a12(a56(x1)) -> a56(a12(x1)) 41.42/11.02 a23(a45(x1)) -> a45(a23(x1)) 41.42/11.02 a23(a56(x1)) -> a56(a23(x1)) 41.42/11.02 a34(a56(x1)) -> a56(a34(x1)) 41.42/11.02 Usable Rule Processor: 41.42/11.02 DPs: 41.42/11.02 a34#(a56(x1)) -> a34#(x1) 41.42/11.02 TRS: 41.42/11.02 41.42/11.02 Polynomial Interpretation Processor: 41.42/11.02 dimension: 1 41.42/11.02 interpretation: 41.42/11.02 [a34#](x0) = x0, 41.42/11.02 41.42/11.02 [a56](x0) = x0 + 1 41.42/11.02 orientation: 41.42/11.02 a34#(a56(x1)) = x1 + 1 >= x1 = a34#(x1) 41.42/11.02 problem: 41.42/11.02 DPs: 41.42/11.02 41.42/11.02 TRS: 41.42/11.02 41.42/11.02 Qed 41.42/11.03 EOF