YES Problem: a12(a12(x1)) -> x1 a13(a13(x1)) -> x1 a14(a14(x1)) -> x1 a15(a15(x1)) -> x1 a16(a16(x1)) -> x1 a23(a23(x1)) -> x1 a24(a24(x1)) -> x1 a25(a25(x1)) -> x1 a26(a26(x1)) -> x1 a34(a34(x1)) -> x1 a35(a35(x1)) -> x1 a36(a36(x1)) -> x1 a45(a45(x1)) -> x1 a46(a46(x1)) -> x1 a56(a56(x1)) -> x1 a13(x1) -> a12(a23(a12(x1))) a14(x1) -> a12(a23(a34(a23(a12(x1))))) a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) -> a23(a34(a23(x1))) a25(x1) -> a23(a34(a45(a34(a23(x1))))) a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) -> a34(a45(a34(x1))) a36(x1) -> a34(a45(a56(a45(a34(x1))))) a46(x1) -> a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) -> x1 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 a12(a34(x1)) -> a34(a12(x1)) a12(a45(x1)) -> a45(a12(x1)) a12(a56(x1)) -> a56(a12(x1)) a23(a45(x1)) -> a45(a23(x1)) a23(a56(x1)) -> a56(a23(x1)) a34(a56(x1)) -> a56(a34(x1)) Proof: DP Processor: DPs: a13#(x1) -> a12#(x1) a13#(x1) -> a23#(a12(x1)) a13#(x1) -> a12#(a23(a12(x1))) a14#(x1) -> a12#(x1) a14#(x1) -> a23#(a12(x1)) a14#(x1) -> a34#(a23(a12(x1))) a14#(x1) -> a23#(a34(a23(a12(x1)))) a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) a15#(x1) -> a12#(x1) a15#(x1) -> a23#(a12(x1)) a15#(x1) -> a34#(a23(a12(x1))) a15#(x1) -> a45#(a34(a23(a12(x1)))) a15#(x1) -> a34#(a45(a34(a23(a12(x1))))) a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) a16#(x1) -> a12#(x1) a16#(x1) -> a23#(a12(x1)) a16#(x1) -> a34#(a23(a12(x1))) a16#(x1) -> a45#(a34(a23(a12(x1)))) a16#(x1) -> a56#(a45(a34(a23(a12(x1))))) a16#(x1) -> a45#(a56(a45(a34(a23(a12(x1)))))) a16#(x1) -> a34#(a45(a56(a45(a34(a23(a12(x1))))))) a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24#(x1) -> a23#(x1) a24#(x1) -> a34#(a23(x1)) a24#(x1) -> a23#(a34(a23(x1))) a25#(x1) -> a23#(x1) a25#(x1) -> a34#(a23(x1)) a25#(x1) -> a45#(a34(a23(x1))) a25#(x1) -> a34#(a45(a34(a23(x1)))) a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) a26#(x1) -> a23#(x1) a26#(x1) -> a34#(a23(x1)) a26#(x1) -> a45#(a34(a23(x1))) a26#(x1) -> a56#(a45(a34(a23(x1)))) a26#(x1) -> a45#(a56(a45(a34(a23(x1))))) a26#(x1) -> a34#(a45(a56(a45(a34(a23(x1)))))) a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) a35#(x1) -> a34#(x1) a35#(x1) -> a45#(a34(x1)) a35#(x1) -> a34#(a45(a34(x1))) a36#(x1) -> a34#(x1) a36#(x1) -> a45#(a34(x1)) a36#(x1) -> a56#(a45(a34(x1))) a36#(x1) -> a45#(a56(a45(a34(x1)))) a36#(x1) -> a34#(a45(a56(a45(a34(x1))))) a46#(x1) -> a45#(x1) a46#(x1) -> a56#(a45(x1)) a46#(x1) -> a45#(a56(a45(x1))) a12#(a34(x1)) -> a12#(x1) a12#(a34(x1)) -> a34#(a12(x1)) a12#(a45(x1)) -> a12#(x1) a12#(a45(x1)) -> a45#(a12(x1)) a12#(a56(x1)) -> a12#(x1) a12#(a56(x1)) -> a56#(a12(x1)) a23#(a45(x1)) -> a23#(x1) a23#(a45(x1)) -> a45#(a23(x1)) a23#(a56(x1)) -> a23#(x1) a23#(a56(x1)) -> a56#(a23(x1)) a34#(a56(x1)) -> a34#(x1) a34#(a56(x1)) -> a56#(a34(x1)) TRS: a12(a12(x1)) -> x1 a13(a13(x1)) -> x1 a14(a14(x1)) -> x1 a15(a15(x1)) -> x1 a16(a16(x1)) -> x1 a23(a23(x1)) -> x1 a24(a24(x1)) -> x1 a25(a25(x1)) -> x1 a26(a26(x1)) -> x1 a34(a34(x1)) -> x1 a35(a35(x1)) -> x1 a36(a36(x1)) -> x1 a45(a45(x1)) -> x1 a46(a46(x1)) -> x1 a56(a56(x1)) -> x1 a13(x1) -> a12(a23(a12(x1))) a14(x1) -> a12(a23(a34(a23(a12(x1))))) a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) -> a23(a34(a23(x1))) a25(x1) -> a23(a34(a45(a34(a23(x1))))) a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) -> a34(a45(a34(x1))) a36(x1) -> a34(a45(a56(a45(a34(x1))))) a46(x1) -> a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) -> x1 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 a12(a34(x1)) -> a34(a12(x1)) a12(a45(x1)) -> a45(a12(x1)) a12(a56(x1)) -> a56(a12(x1)) a23(a45(x1)) -> a45(a23(x1)) a23(a56(x1)) -> a56(a23(x1)) a34(a56(x1)) -> a56(a34(x1)) TDG Processor: DPs: a13#(x1) -> a12#(x1) a13#(x1) -> a23#(a12(x1)) a13#(x1) -> a12#(a23(a12(x1))) a14#(x1) -> a12#(x1) a14#(x1) -> a23#(a12(x1)) a14#(x1) -> a34#(a23(a12(x1))) a14#(x1) -> a23#(a34(a23(a12(x1)))) a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) a15#(x1) -> a12#(x1) a15#(x1) -> a23#(a12(x1)) a15#(x1) -> a34#(a23(a12(x1))) a15#(x1) -> a45#(a34(a23(a12(x1)))) a15#(x1) -> a34#(a45(a34(a23(a12(x1))))) a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) a16#(x1) -> a12#(x1) a16#(x1) -> a23#(a12(x1)) a16#(x1) -> a34#(a23(a12(x1))) a16#(x1) -> a45#(a34(a23(a12(x1)))) a16#(x1) -> a56#(a45(a34(a23(a12(x1))))) a16#(x1) -> a45#(a56(a45(a34(a23(a12(x1)))))) a16#(x1) -> a34#(a45(a56(a45(a34(a23(a12(x1))))))) a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24#(x1) -> a23#(x1) a24#(x1) -> a34#(a23(x1)) a24#(x1) -> a23#(a34(a23(x1))) a25#(x1) -> a23#(x1) a25#(x1) -> a34#(a23(x1)) a25#(x1) -> a45#(a34(a23(x1))) a25#(x1) -> a34#(a45(a34(a23(x1)))) a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) a26#(x1) -> a23#(x1) a26#(x1) -> a34#(a23(x1)) a26#(x1) -> a45#(a34(a23(x1))) a26#(x1) -> a56#(a45(a34(a23(x1)))) a26#(x1) -> a45#(a56(a45(a34(a23(x1))))) a26#(x1) -> a34#(a45(a56(a45(a34(a23(x1)))))) a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) a35#(x1) -> a34#(x1) a35#(x1) -> a45#(a34(x1)) a35#(x1) -> a34#(a45(a34(x1))) a36#(x1) -> a34#(x1) a36#(x1) -> a45#(a34(x1)) a36#(x1) -> a56#(a45(a34(x1))) a36#(x1) -> a45#(a56(a45(a34(x1)))) a36#(x1) -> a34#(a45(a56(a45(a34(x1))))) a46#(x1) -> a45#(x1) a46#(x1) -> a56#(a45(x1)) a46#(x1) -> a45#(a56(a45(x1))) a12#(a34(x1)) -> a12#(x1) a12#(a34(x1)) -> a34#(a12(x1)) a12#(a45(x1)) -> a12#(x1) a12#(a45(x1)) -> a45#(a12(x1)) a12#(a56(x1)) -> a12#(x1) a12#(a56(x1)) -> a56#(a12(x1)) a23#(a45(x1)) -> a23#(x1) a23#(a45(x1)) -> a45#(a23(x1)) a23#(a56(x1)) -> a23#(x1) a23#(a56(x1)) -> a56#(a23(x1)) a34#(a56(x1)) -> a34#(x1) a34#(a56(x1)) -> a56#(a34(x1)) TRS: a12(a12(x1)) -> x1 a13(a13(x1)) -> x1 a14(a14(x1)) -> x1 a15(a15(x1)) -> x1 a16(a16(x1)) -> x1 a23(a23(x1)) -> x1 a24(a24(x1)) -> x1 a25(a25(x1)) -> x1 a26(a26(x1)) -> x1 a34(a34(x1)) -> x1 a35(a35(x1)) -> x1 a36(a36(x1)) -> x1 a45(a45(x1)) -> x1 a46(a46(x1)) -> x1 a56(a56(x1)) -> x1 a13(x1) -> a12(a23(a12(x1))) a14(x1) -> a12(a23(a34(a23(a12(x1))))) a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) -> a23(a34(a23(x1))) a25(x1) -> a23(a34(a45(a34(a23(x1))))) a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) -> a34(a45(a34(x1))) a36(x1) -> a34(a45(a56(a45(a34(x1))))) a46(x1) -> a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) -> x1 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 a12(a34(x1)) -> a34(a12(x1)) a12(a45(x1)) -> a45(a12(x1)) a12(a56(x1)) -> a56(a12(x1)) a23(a45(x1)) -> a45(a23(x1)) a23(a56(x1)) -> a56(a23(x1)) a34(a56(x1)) -> a56(a34(x1)) graph: a36#(x1) -> a34#(a45(a56(a45(a34(x1))))) -> a34#(a56(x1)) -> a56#(a34(x1)) a36#(x1) -> a34#(a45(a56(a45(a34(x1))))) -> a34#(a56(x1)) -> a34#(x1) a36#(x1) -> a34#(x1) -> a34#(a56(x1)) -> a56#(a34(x1)) a36#(x1) -> a34#(x1) -> a34#(a56(x1)) -> a34#(x1) a35#(x1) -> a34#(a45(a34(x1))) -> a34#(a56(x1)) -> a56#(a34(x1)) a35#(x1) -> a34#(a45(a34(x1))) -> a34#(a56(x1)) -> a34#(x1) a35#(x1) -> a34#(x1) -> a34#(a56(x1)) -> a56#(a34(x1)) a35#(x1) -> a34#(x1) -> a34#(a56(x1)) -> a34#(x1) a34#(a56(x1)) -> a34#(x1) -> a34#(a56(x1)) -> a56#(a34(x1)) a34#(a56(x1)) -> a34#(x1) -> a34#(a56(x1)) -> a34#(x1) a26#(x1) -> a34#(a45(a56(a45(a34(a23(x1)))))) -> a34#(a56(x1)) -> a56#(a34(x1)) a26#(x1) -> a34#(a45(a56(a45(a34(a23(x1)))))) -> a34#(a56(x1)) -> a34#(x1) a26#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a56#(a34(x1)) a26#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a34#(x1) a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) -> a23#(a56(x1)) -> a56#(a23(x1)) a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) -> a23#(a56(x1)) -> a23#(x1) a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) -> a23#(a45(x1)) -> a45#(a23(x1)) a26#(x1) -> a23#(a34(a45(a56(a45(a34(a23(x1))))))) -> a23#(a45(x1)) -> a23#(x1) a26#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) a26#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) a26#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) a26#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a23#(x1) a25#(x1) -> a34#(a45(a34(a23(x1)))) -> a34#(a56(x1)) -> a56#(a34(x1)) a25#(x1) -> a34#(a45(a34(a23(x1)))) -> a34#(a56(x1)) -> a34#(x1) a25#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a56#(a34(x1)) a25#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a34#(x1) a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) -> a23#(a56(x1)) -> a56#(a23(x1)) a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) -> a23#(a56(x1)) -> a23#(x1) a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) -> a23#(a45(x1)) -> a45#(a23(x1)) a25#(x1) -> a23#(a34(a45(a34(a23(x1))))) -> a23#(a45(x1)) -> a23#(x1) a25#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) a25#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) a25#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) a25#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a23#(x1) a24#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a56#(a34(x1)) a24#(x1) -> a34#(a23(x1)) -> a34#(a56(x1)) -> a34#(x1) a24#(x1) -> a23#(a34(a23(x1))) -> a23#(a56(x1)) -> a56#(a23(x1)) a24#(x1) -> a23#(a34(a23(x1))) -> a23#(a56(x1)) -> a23#(x1) a24#(x1) -> a23#(a34(a23(x1))) -> a23#(a45(x1)) -> a45#(a23(x1)) a24#(x1) -> a23#(a34(a23(x1))) -> a23#(a45(x1)) -> a23#(x1) a24#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) a24#(x1) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) a24#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) a24#(x1) -> a23#(x1) -> a23#(a45(x1)) -> a23#(x1) a23#(a56(x1)) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) a23#(a56(x1)) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) a23#(a56(x1)) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) a23#(a56(x1)) -> a23#(x1) -> a23#(a45(x1)) -> a23#(x1) a23#(a45(x1)) -> a23#(x1) -> a23#(a56(x1)) -> a56#(a23(x1)) a23#(a45(x1)) -> a23#(x1) -> a23#(a56(x1)) -> a23#(x1) a23#(a45(x1)) -> a23#(x1) -> a23#(a45(x1)) -> a45#(a23(x1)) a23#(a45(x1)) -> a23#(x1) -> a23#(a45(x1)) -> a23#(x1) a16#(x1) -> a34#(a45(a56(a45(a34(a23(a12(x1))))))) -> a34#(a56(x1)) -> a56#(a34(x1)) a16#(x1) -> a34#(a45(a56(a45(a34(a23(a12(x1))))))) -> a34#(a56(x1)) -> a34#(x1) a16#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a56#(a34(x1)) a16#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a34#(x1) a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) -> a23#(a56(x1)) -> a56#(a23(x1)) a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) -> a23#(a56(x1)) -> a23#(x1) a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) -> a23#(a45(x1)) -> a45#(a23(x1)) a16#(x1) -> a23#(a34(a45(a56(a45(a34(a23(a12(x1)))))))) -> a23#(a45(x1)) -> a23#(x1) a16#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a56#(a23(x1)) a16#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a23#(x1) a16#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a45#(a23(x1)) a16#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a23#(x1) a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> a12#(a56(x1)) -> a56#(a12(x1)) a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> a12#(a56(x1)) -> a12#(x1) a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> a12#(a45(x1)) -> a45#(a12(x1)) a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> a12#(a45(x1)) -> a12#(x1) a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> a12#(a34(x1)) -> a34#(a12(x1)) a16#(x1) -> a12#(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) -> a12#(a34(x1)) -> a12#(x1) a16#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) a16#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) a16#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) a16#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) a16#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) a16#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) a15#(x1) -> a34#(a45(a34(a23(a12(x1))))) -> a34#(a56(x1)) -> a56#(a34(x1)) a15#(x1) -> a34#(a45(a34(a23(a12(x1))))) -> a34#(a56(x1)) -> a34#(x1) a15#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a56#(a34(x1)) a15#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a34#(x1) a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) -> a23#(a56(x1)) -> a56#(a23(x1)) a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) -> a23#(a56(x1)) -> a23#(x1) a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) -> a23#(a45(x1)) -> a45#(a23(x1)) a15#(x1) -> a23#(a34(a45(a34(a23(a12(x1)))))) -> a23#(a45(x1)) -> a23#(x1) a15#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a56#(a23(x1)) a15#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a23#(x1) a15#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a45#(a23(x1)) a15#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a23#(x1) a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> a12#(a56(x1)) -> a56#(a12(x1)) a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> a12#(a56(x1)) -> a12#(x1) a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> a12#(a45(x1)) -> a45#(a12(x1)) a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> a12#(a45(x1)) -> a12#(x1) a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> a12#(a34(x1)) -> a34#(a12(x1)) a15#(x1) -> a12#(a23(a34(a45(a34(a23(a12(x1))))))) -> a12#(a34(x1)) -> a12#(x1) a15#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) a15#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) a15#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) a15#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) a15#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) a15#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) a14#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a56#(a34(x1)) a14#(x1) -> a34#(a23(a12(x1))) -> a34#(a56(x1)) -> a34#(x1) a14#(x1) -> a23#(a34(a23(a12(x1)))) -> a23#(a56(x1)) -> a56#(a23(x1)) a14#(x1) -> a23#(a34(a23(a12(x1)))) -> a23#(a56(x1)) -> a23#(x1) a14#(x1) -> a23#(a34(a23(a12(x1)))) -> a23#(a45(x1)) -> a45#(a23(x1)) a14#(x1) -> a23#(a34(a23(a12(x1)))) -> a23#(a45(x1)) -> a23#(x1) a14#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a56#(a23(x1)) a14#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a23#(x1) a14#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a45#(a23(x1)) a14#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a23#(x1) a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> a12#(a56(x1)) -> a56#(a12(x1)) a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> a12#(a56(x1)) -> a12#(x1) a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> a12#(a45(x1)) -> a45#(a12(x1)) a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> a12#(a45(x1)) -> a12#(x1) a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> a12#(a34(x1)) -> a34#(a12(x1)) a14#(x1) -> a12#(a23(a34(a23(a12(x1))))) -> a12#(a34(x1)) -> a12#(x1) a14#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) a14#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) a14#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) a14#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) a14#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) a14#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) a13#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a56#(a23(x1)) a13#(x1) -> a23#(a12(x1)) -> a23#(a56(x1)) -> a23#(x1) a13#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a45#(a23(x1)) a13#(x1) -> a23#(a12(x1)) -> a23#(a45(x1)) -> a23#(x1) a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a56(x1)) -> a56#(a12(x1)) a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a56(x1)) -> a12#(x1) a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a45(x1)) -> a45#(a12(x1)) a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a45(x1)) -> a12#(x1) a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a34(x1)) -> a34#(a12(x1)) a13#(x1) -> a12#(a23(a12(x1))) -> a12#(a34(x1)) -> a12#(x1) a13#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) a13#(x1) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) a13#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) a13#(x1) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) a13#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) a13#(x1) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) a12#(a56(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) a12#(a56(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) a12#(a56(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) a12#(a56(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) a12#(a56(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) a12#(a56(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) a12#(a45(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) a12#(a45(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) a12#(a45(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) a12#(a45(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) a12#(a45(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) a12#(a45(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) a12#(a34(x1)) -> a34#(a12(x1)) -> a34#(a56(x1)) -> a56#(a34(x1)) a12#(a34(x1)) -> a34#(a12(x1)) -> a34#(a56(x1)) -> a34#(x1) a12#(a34(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a56#(a12(x1)) a12#(a34(x1)) -> a12#(x1) -> a12#(a56(x1)) -> a12#(x1) a12#(a34(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a45#(a12(x1)) a12#(a34(x1)) -> a12#(x1) -> a12#(a45(x1)) -> a12#(x1) a12#(a34(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a34#(a12(x1)) a12#(a34(x1)) -> a12#(x1) -> a12#(a34(x1)) -> a12#(x1) SCC Processor: #sccs: 3 #rules: 6 #arcs: 158/3844 DPs: a12#(a34(x1)) -> a12#(x1) a12#(a45(x1)) -> a12#(x1) a12#(a56(x1)) -> a12#(x1) TRS: a12(a12(x1)) -> x1 a13(a13(x1)) -> x1 a14(a14(x1)) -> x1 a15(a15(x1)) -> x1 a16(a16(x1)) -> x1 a23(a23(x1)) -> x1 a24(a24(x1)) -> x1 a25(a25(x1)) -> x1 a26(a26(x1)) -> x1 a34(a34(x1)) -> x1 a35(a35(x1)) -> x1 a36(a36(x1)) -> x1 a45(a45(x1)) -> x1 a46(a46(x1)) -> x1 a56(a56(x1)) -> x1 a13(x1) -> a12(a23(a12(x1))) a14(x1) -> a12(a23(a34(a23(a12(x1))))) a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) -> a23(a34(a23(x1))) a25(x1) -> a23(a34(a45(a34(a23(x1))))) a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) -> a34(a45(a34(x1))) a36(x1) -> a34(a45(a56(a45(a34(x1))))) a46(x1) -> a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) -> x1 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 a12(a34(x1)) -> a34(a12(x1)) a12(a45(x1)) -> a45(a12(x1)) a12(a56(x1)) -> a56(a12(x1)) a23(a45(x1)) -> a45(a23(x1)) a23(a56(x1)) -> a56(a23(x1)) a34(a56(x1)) -> a56(a34(x1)) Matrix Interpretation Processor: dim=1 interpretation: [a12#](x0) = 4x0, [a56](x0) = x0 + 1, [a46](x0) = x0 + 3, [a45](x0) = x0 + 1, [a36](x0) = x0 + 5, [a35](x0) = x0 + 3, [a34](x0) = x0 + 1, [a26](x0) = 4x0 + 10, [a25](x0) = 4x0 + 6, [a24](x0) = 4x0 + 2, [a23](x0) = 2x0, [a16](x0) = 4x0 + 10, [a15](x0) = 4x0 + 6, [a14](x0) = 4x0 + 2, [a13](x0) = 3x0, [a12](x0) = x0 orientation: a12#(a34(x1)) = 4x1 + 4 >= 4x1 = a12#(x1) a12#(a45(x1)) = 4x1 + 4 >= 4x1 = a12#(x1) a12#(a56(x1)) = 4x1 + 4 >= 4x1 = a12#(x1) a12(a12(x1)) = x1 >= x1 = x1 a13(a13(x1)) = 9x1 >= x1 = x1 a14(a14(x1)) = 16x1 + 10 >= x1 = x1 a15(a15(x1)) = 16x1 + 30 >= x1 = x1 a16(a16(x1)) = 16x1 + 50 >= x1 = x1 a23(a23(x1)) = 4x1 >= x1 = x1 a24(a24(x1)) = 16x1 + 10 >= x1 = x1 a25(a25(x1)) = 16x1 + 30 >= x1 = x1 a26(a26(x1)) = 16x1 + 50 >= x1 = x1 a34(a34(x1)) = x1 + 2 >= x1 = x1 a35(a35(x1)) = x1 + 6 >= x1 = x1 a36(a36(x1)) = x1 + 10 >= x1 = x1 a45(a45(x1)) = x1 + 2 >= x1 = x1 a46(a46(x1)) = x1 + 6 >= x1 = x1 a56(a56(x1)) = x1 + 2 >= x1 = x1 a13(x1) = 3x1 >= 2x1 = a12(a23(a12(x1))) a14(x1) = 4x1 + 2 >= 4x1 + 2 = a12(a23(a34(a23(a12(x1))))) a15(x1) = 4x1 + 6 >= 4x1 + 6 = a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) = 4x1 + 10 >= 4x1 + 10 = a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) = 4x1 + 2 >= 4x1 + 2 = a23(a34(a23(x1))) a25(x1) = 4x1 + 6 >= 4x1 + 6 = a23(a34(a45(a34(a23(x1))))) a26(x1) = 4x1 + 10 >= 4x1 + 10 = a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) = x1 + 3 >= x1 + 3 = a34(a45(a34(x1))) a36(x1) = x1 + 5 >= x1 + 5 = a34(a45(a56(a45(a34(x1))))) a46(x1) = x1 + 3 >= x1 + 3 = a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) = 8x1 >= x1 = x1 a23(a34(a23(a34(a23(a34(x1)))))) = 8x1 + 14 >= x1 = x1 a34(a45(a34(a45(a34(a45(x1)))))) = x1 + 6 >= x1 = x1 a45(a56(a45(a56(a45(a56(x1)))))) = x1 + 6 >= x1 = x1 a12(a34(x1)) = x1 + 1 >= x1 + 1 = a34(a12(x1)) a12(a45(x1)) = x1 + 1 >= x1 + 1 = a45(a12(x1)) a12(a56(x1)) = x1 + 1 >= x1 + 1 = a56(a12(x1)) a23(a45(x1)) = 2x1 + 2 >= 2x1 + 1 = a45(a23(x1)) a23(a56(x1)) = 2x1 + 2 >= 2x1 + 1 = a56(a23(x1)) a34(a56(x1)) = x1 + 2 >= x1 + 2 = a56(a34(x1)) problem: DPs: TRS: a12(a12(x1)) -> x1 a13(a13(x1)) -> x1 a14(a14(x1)) -> x1 a15(a15(x1)) -> x1 a16(a16(x1)) -> x1 a23(a23(x1)) -> x1 a24(a24(x1)) -> x1 a25(a25(x1)) -> x1 a26(a26(x1)) -> x1 a34(a34(x1)) -> x1 a35(a35(x1)) -> x1 a36(a36(x1)) -> x1 a45(a45(x1)) -> x1 a46(a46(x1)) -> x1 a56(a56(x1)) -> x1 a13(x1) -> a12(a23(a12(x1))) a14(x1) -> a12(a23(a34(a23(a12(x1))))) a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) -> a23(a34(a23(x1))) a25(x1) -> a23(a34(a45(a34(a23(x1))))) a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) -> a34(a45(a34(x1))) a36(x1) -> a34(a45(a56(a45(a34(x1))))) a46(x1) -> a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) -> x1 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 a12(a34(x1)) -> a34(a12(x1)) a12(a45(x1)) -> a45(a12(x1)) a12(a56(x1)) -> a56(a12(x1)) a23(a45(x1)) -> a45(a23(x1)) a23(a56(x1)) -> a56(a23(x1)) a34(a56(x1)) -> a56(a34(x1)) Qed DPs: a23#(a45(x1)) -> a23#(x1) a23#(a56(x1)) -> a23#(x1) TRS: a12(a12(x1)) -> x1 a13(a13(x1)) -> x1 a14(a14(x1)) -> x1 a15(a15(x1)) -> x1 a16(a16(x1)) -> x1 a23(a23(x1)) -> x1 a24(a24(x1)) -> x1 a25(a25(x1)) -> x1 a26(a26(x1)) -> x1 a34(a34(x1)) -> x1 a35(a35(x1)) -> x1 a36(a36(x1)) -> x1 a45(a45(x1)) -> x1 a46(a46(x1)) -> x1 a56(a56(x1)) -> x1 a13(x1) -> a12(a23(a12(x1))) a14(x1) -> a12(a23(a34(a23(a12(x1))))) a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) -> a23(a34(a23(x1))) a25(x1) -> a23(a34(a45(a34(a23(x1))))) a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) -> a34(a45(a34(x1))) a36(x1) -> a34(a45(a56(a45(a34(x1))))) a46(x1) -> a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) -> x1 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 a12(a34(x1)) -> a34(a12(x1)) a12(a45(x1)) -> a45(a12(x1)) a12(a56(x1)) -> a56(a12(x1)) a23(a45(x1)) -> a45(a23(x1)) a23(a56(x1)) -> a56(a23(x1)) a34(a56(x1)) -> a56(a34(x1)) Matrix Interpretation Processor: dim=1 interpretation: [a23#](x0) = 16x0 + 2, [a56](x0) = x0 + 1, [a46](x0) = x0 + 3, [a45](x0) = x0 + 1, [a36](x0) = 6x0 + 8, [a35](x0) = 6x0 + 1, [a34](x0) = x0, [a26](x0) = 4x0 + 6, [a25](x0) = 4x0 + 4, [a24](x0) = 4x0, [a23](x0) = 2x0, [a16](x0) = 5x0 + 7, [a15](x0) = 4x0 + 8, [a14](x0) = 4x0, [a13](x0) = 4x0 + 2, [a12](x0) = x0 orientation: a23#(a45(x1)) = 16x1 + 18 >= 16x1 + 2 = a23#(x1) a23#(a56(x1)) = 16x1 + 18 >= 16x1 + 2 = a23#(x1) a12(a12(x1)) = x1 >= x1 = x1 a13(a13(x1)) = 16x1 + 10 >= x1 = x1 a14(a14(x1)) = 16x1 >= x1 = x1 a15(a15(x1)) = 16x1 + 40 >= x1 = x1 a16(a16(x1)) = 25x1 + 42 >= x1 = x1 a23(a23(x1)) = 4x1 >= x1 = x1 a24(a24(x1)) = 16x1 >= x1 = x1 a25(a25(x1)) = 16x1 + 20 >= x1 = x1 a26(a26(x1)) = 16x1 + 30 >= x1 = x1 a34(a34(x1)) = x1 >= x1 = x1 a35(a35(x1)) = 36x1 + 7 >= x1 = x1 a36(a36(x1)) = 36x1 + 56 >= x1 = x1 a45(a45(x1)) = x1 + 2 >= x1 = x1 a46(a46(x1)) = x1 + 6 >= x1 = x1 a56(a56(x1)) = x1 + 2 >= x1 = x1 a13(x1) = 4x1 + 2 >= 2x1 = a12(a23(a12(x1))) a14(x1) = 4x1 >= 4x1 = a12(a23(a34(a23(a12(x1))))) a15(x1) = 4x1 + 8 >= 4x1 + 2 = a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) = 5x1 + 7 >= 4x1 + 6 = a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) = 4x1 >= 4x1 = a23(a34(a23(x1))) a25(x1) = 4x1 + 4 >= 4x1 + 2 = a23(a34(a45(a34(a23(x1))))) a26(x1) = 4x1 + 6 >= 4x1 + 6 = a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) = 6x1 + 1 >= x1 + 1 = a34(a45(a34(x1))) a36(x1) = 6x1 + 8 >= x1 + 3 = a34(a45(a56(a45(a34(x1))))) a46(x1) = x1 + 3 >= x1 + 3 = a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) = 8x1 >= x1 = x1 a23(a34(a23(a34(a23(a34(x1)))))) = 8x1 >= x1 = x1 a34(a45(a34(a45(a34(a45(x1)))))) = x1 + 3 >= x1 = x1 a45(a56(a45(a56(a45(a56(x1)))))) = x1 + 6 >= x1 = x1 a12(a34(x1)) = x1 >= x1 = a34(a12(x1)) a12(a45(x1)) = x1 + 1 >= x1 + 1 = a45(a12(x1)) a12(a56(x1)) = x1 + 1 >= x1 + 1 = a56(a12(x1)) a23(a45(x1)) = 2x1 + 2 >= 2x1 + 1 = a45(a23(x1)) a23(a56(x1)) = 2x1 + 2 >= 2x1 + 1 = a56(a23(x1)) a34(a56(x1)) = x1 + 1 >= x1 + 1 = a56(a34(x1)) problem: DPs: TRS: a12(a12(x1)) -> x1 a13(a13(x1)) -> x1 a14(a14(x1)) -> x1 a15(a15(x1)) -> x1 a16(a16(x1)) -> x1 a23(a23(x1)) -> x1 a24(a24(x1)) -> x1 a25(a25(x1)) -> x1 a26(a26(x1)) -> x1 a34(a34(x1)) -> x1 a35(a35(x1)) -> x1 a36(a36(x1)) -> x1 a45(a45(x1)) -> x1 a46(a46(x1)) -> x1 a56(a56(x1)) -> x1 a13(x1) -> a12(a23(a12(x1))) a14(x1) -> a12(a23(a34(a23(a12(x1))))) a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) -> a23(a34(a23(x1))) a25(x1) -> a23(a34(a45(a34(a23(x1))))) a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) -> a34(a45(a34(x1))) a36(x1) -> a34(a45(a56(a45(a34(x1))))) a46(x1) -> a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) -> x1 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 a12(a34(x1)) -> a34(a12(x1)) a12(a45(x1)) -> a45(a12(x1)) a12(a56(x1)) -> a56(a12(x1)) a23(a45(x1)) -> a45(a23(x1)) a23(a56(x1)) -> a56(a23(x1)) a34(a56(x1)) -> a56(a34(x1)) Qed DPs: a34#(a56(x1)) -> a34#(x1) TRS: a12(a12(x1)) -> x1 a13(a13(x1)) -> x1 a14(a14(x1)) -> x1 a15(a15(x1)) -> x1 a16(a16(x1)) -> x1 a23(a23(x1)) -> x1 a24(a24(x1)) -> x1 a25(a25(x1)) -> x1 a26(a26(x1)) -> x1 a34(a34(x1)) -> x1 a35(a35(x1)) -> x1 a36(a36(x1)) -> x1 a45(a45(x1)) -> x1 a46(a46(x1)) -> x1 a56(a56(x1)) -> x1 a13(x1) -> a12(a23(a12(x1))) a14(x1) -> a12(a23(a34(a23(a12(x1))))) a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) -> a23(a34(a23(x1))) a25(x1) -> a23(a34(a45(a34(a23(x1))))) a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) -> a34(a45(a34(x1))) a36(x1) -> a34(a45(a56(a45(a34(x1))))) a46(x1) -> a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) -> x1 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 a12(a34(x1)) -> a34(a12(x1)) a12(a45(x1)) -> a45(a12(x1)) a12(a56(x1)) -> a56(a12(x1)) a23(a45(x1)) -> a45(a23(x1)) a23(a56(x1)) -> a56(a23(x1)) a34(a56(x1)) -> a56(a34(x1)) KBO Processor: argument filtering: pi(a12) = 0 pi(a13) = 0 pi(a14) = 0 pi(a15) = 0 pi(a16) = [0] pi(a23) = 0 pi(a24) = 0 pi(a25) = 0 pi(a26) = [0] pi(a34) = 0 pi(a35) = 0 pi(a36) = [0] pi(a45) = 0 pi(a46) = [0] pi(a56) = [0] pi(a34#) = 0 weight function: w0 = 1 w(a34#) = w(a56) = w(a46) = w(a36) = w(a35) = w(a26) = w(a25) = w( a24) = w(a16) = w(a15) = w(a14) = w(a13) = 1 w(a45) = w(a34) = w(a23) = w(a12) = 0 precedence: a34# ~ a16 > a46 ~ a36 ~ a26 > a56 ~ a45 ~ a35 ~ a34 ~ a25 ~ a24 ~ a23 ~ a15 ~ a14 ~ a13 ~ a12 problem: DPs: TRS: a12(a12(x1)) -> x1 a13(a13(x1)) -> x1 a14(a14(x1)) -> x1 a15(a15(x1)) -> x1 a16(a16(x1)) -> x1 a23(a23(x1)) -> x1 a24(a24(x1)) -> x1 a25(a25(x1)) -> x1 a26(a26(x1)) -> x1 a34(a34(x1)) -> x1 a35(a35(x1)) -> x1 a36(a36(x1)) -> x1 a45(a45(x1)) -> x1 a46(a46(x1)) -> x1 a56(a56(x1)) -> x1 a13(x1) -> a12(a23(a12(x1))) a14(x1) -> a12(a23(a34(a23(a12(x1))))) a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) a24(x1) -> a23(a34(a23(x1))) a25(x1) -> a23(a34(a45(a34(a23(x1))))) a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) a35(x1) -> a34(a45(a34(x1))) a36(x1) -> a34(a45(a56(a45(a34(x1))))) a46(x1) -> a45(a56(a45(x1))) a12(a23(a12(a23(a12(a23(x1)))))) -> x1 a23(a34(a23(a34(a23(a34(x1)))))) -> x1 a34(a45(a34(a45(a34(a45(x1)))))) -> x1 a45(a56(a45(a56(a45(a56(x1)))))) -> x1 a12(a34(x1)) -> a34(a12(x1)) a12(a45(x1)) -> a45(a12(x1)) a12(a56(x1)) -> a56(a12(x1)) a23(a45(x1)) -> a45(a23(x1)) a23(a56(x1)) -> a56(a23(x1)) a34(a56(x1)) -> a56(a34(x1)) Qed