YES Problem: a12(a12(a12(a12(x1)))) -> x1 a13(a13(a13(a13(x1)))) -> x1 a14(a14(a14(a14(x1)))) -> x1 a15(a15(a15(a15(x1)))) -> x1 a16(a16(a16(a16(x1)))) -> x1 a23(a23(a23(a23(x1)))) -> x1 a24(a24(a24(a24(x1)))) -> x1 a25(a25(a25(a25(x1)))) -> x1 a26(a26(a26(a26(x1)))) -> x1 a34(a34(a34(a34(x1)))) -> x1 a35(a35(a35(a35(x1)))) -> x1 a36(a36(a36(a36(x1)))) -> x1 a45(a45(a45(a45(x1)))) -> x1 a46(a46(a46(a46(x1)))) -> x1 a56(a56(a56(a56(x1)))) -> x1 a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1)))))) a14(a14(x1)) -> a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1)))))))))) a15(a15(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) a16(a16(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))))) a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1)))))) a25(a25(x1)) -> a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1)))))))))) a26(a26(x1)) -> a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))))) a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1)))))) a36(a36(x1)) -> a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1)))))))))) a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1)))))) a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) -> x1 a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) -> x1 a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) -> x1 a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) -> x1 a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1)))) a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1)))) a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1)))) a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1)))) a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1)))) a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1)))) Proof: DP Processor: DPs: a13#(a13(x1)) -> a12#(x1) a13#(a13(x1)) -> a12#(a12(x1)) a13#(a13(x1)) -> a23#(a12(a12(x1))) a13#(a13(x1)) -> a23#(a23(a12(a12(x1)))) a13#(a13(x1)) -> a12#(a23(a23(a12(a12(x1))))) a13#(a13(x1)) -> a12#(a12(a23(a23(a12(a12(x1)))))) a14#(a14(x1)) -> a12#(x1) a14#(a14(x1)) -> a12#(a12(x1)) a14#(a14(x1)) -> a23#(a12(a12(x1))) a14#(a14(x1)) -> a23#(a23(a12(a12(x1)))) a14#(a14(x1)) -> a34#(a23(a23(a12(a12(x1))))) a14#(a14(x1)) -> a34#(a34(a23(a23(a12(a12(x1)))))) a14#(a14(x1)) -> a23#(a34(a34(a23(a23(a12(a12(x1))))))) a14#(a14(x1)) -> a23#(a23(a34(a34(a23(a23(a12(a12(x1)))))))) a14#(a14(x1)) -> a12#(a23(a23(a34(a34(a23(a23(a12(a12(x1))))))))) a14#(a14(x1)) -> a12#(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1)))))))))) a15#(a15(x1)) -> a12#(x1) a15#(a15(x1)) -> a12#(a12(x1)) a15#(a15(x1)) -> a23#(a12(a12(x1))) a15#(a15(x1)) -> a23#(a23(a12(a12(x1)))) a15#(a15(x1)) -> a34#(a23(a23(a12(a12(x1))))) a15#(a15(x1)) -> a34#(a34(a23(a23(a12(a12(x1)))))) a15#(a15(x1)) -> a45#(a34(a34(a23(a23(a12(a12(x1))))))) a15#(a15(x1)) -> a45#(a45(a34(a34(a23(a23(a12(a12(x1)))))))) a15#(a15(x1)) -> a34#(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))) a15#(a15(x1)) -> a34#(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))) a15#(a15(x1)) -> a23#(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))) a15#(a15(x1)) -> a23#(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))) a15#(a15(x1)) -> a12#(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))) a15#(a15(x1)) -> a12#(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) a16#(a16(x1)) -> a12#(x1) a16#(a16(x1)) -> a12#(a12(x1)) a16#(a16(x1)) -> a23#(a12(a12(x1))) a16#(a16(x1)) -> a23#(a23(a12(a12(x1)))) a16#(a16(x1)) -> a34#(a23(a23(a12(a12(x1))))) a16#(a16(x1)) -> a34#(a34(a23(a23(a12(a12(x1)))))) a16#(a16(x1)) -> a45#(a34(a34(a23(a23(a12(a12(x1))))))) a16#(a16(x1)) -> a45#(a45(a34(a34(a23(a23(a12(a12(x1)))))))) a16#(a16(x1)) -> a56#(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))) a16#(a16(x1)) -> a56#(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))) a16#(a16(x1)) -> a45#(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))) a16#(a16(x1)) -> a45#(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))) a16#(a16(x1)) -> a34#(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))) a16#(a16(x1)) -> a34#(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) a16#(a16(x1)) -> a23#(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))) a16#(a16(x1)) -> a23#(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))) a16#(a16(x1)) -> a12#(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))))) a16#(a16(x1)) -> a12#(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))))) a24#(a24(x1)) -> a23#(x1) a24#(a24(x1)) -> a23#(a23(x1)) a24#(a24(x1)) -> a34#(a23(a23(x1))) a24#(a24(x1)) -> a34#(a34(a23(a23(x1)))) a24#(a24(x1)) -> a23#(a34(a34(a23(a23(x1))))) a24#(a24(x1)) -> a23#(a23(a34(a34(a23(a23(x1)))))) a25#(a25(x1)) -> a23#(x1) a25#(a25(x1)) -> a23#(a23(x1)) a25#(a25(x1)) -> a34#(a23(a23(x1))) a25#(a25(x1)) -> a34#(a34(a23(a23(x1)))) a25#(a25(x1)) -> a45#(a34(a34(a23(a23(x1))))) a25#(a25(x1)) -> a45#(a45(a34(a34(a23(a23(x1)))))) a25#(a25(x1)) -> a34#(a45(a45(a34(a34(a23(a23(x1))))))) a25#(a25(x1)) -> a34#(a34(a45(a45(a34(a34(a23(a23(x1)))))))) a25#(a25(x1)) -> a23#(a34(a34(a45(a45(a34(a34(a23(a23(x1))))))))) a25#(a25(x1)) -> a23#(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1)))))))))) a26#(a26(x1)) -> a23#(x1) a26#(a26(x1)) -> a23#(a23(x1)) a26#(a26(x1)) -> a34#(a23(a23(x1))) a26#(a26(x1)) -> a34#(a34(a23(a23(x1)))) a26#(a26(x1)) -> a45#(a34(a34(a23(a23(x1))))) a26#(a26(x1)) -> a45#(a45(a34(a34(a23(a23(x1)))))) a26#(a26(x1)) -> a56#(a45(a45(a34(a34(a23(a23(x1))))))) a26#(a26(x1)) -> a56#(a56(a45(a45(a34(a34(a23(a23(x1)))))))) a26#(a26(x1)) -> a45#(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))) a26#(a26(x1)) -> a45#(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))) a26#(a26(x1)) -> a34#(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))) a26#(a26(x1)) -> a34#(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))) a26#(a26(x1)) -> a23#(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))))) a26#(a26(x1)) -> a23#(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))))) a35#(a35(x1)) -> a34#(x1) a35#(a35(x1)) -> a34#(a34(x1)) a35#(a35(x1)) -> a45#(a34(a34(x1))) a35#(a35(x1)) -> a45#(a45(a34(a34(x1)))) a35#(a35(x1)) -> a34#(a45(a45(a34(a34(x1))))) a35#(a35(x1)) -> a34#(a34(a45(a45(a34(a34(x1)))))) a36#(a36(x1)) -> a34#(x1) a36#(a36(x1)) -> a34#(a34(x1)) a36#(a36(x1)) -> a45#(a34(a34(x1))) a36#(a36(x1)) -> a45#(a45(a34(a34(x1)))) a36#(a36(x1)) -> a56#(a45(a45(a34(a34(x1))))) a36#(a36(x1)) -> a56#(a56(a45(a45(a34(a34(x1)))))) a36#(a36(x1)) -> a45#(a56(a56(a45(a45(a34(a34(x1))))))) a36#(a36(x1)) -> a45#(a45(a56(a56(a45(a45(a34(a34(x1)))))))) a36#(a36(x1)) -> a34#(a45(a45(a56(a56(a45(a45(a34(a34(x1))))))))) a36#(a36(x1)) -> a34#(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1)))))))))) a46#(a46(x1)) -> a45#(x1) a46#(a46(x1)) -> a45#(a45(x1)) a46#(a46(x1)) -> a56#(a45(a45(x1))) a46#(a46(x1)) -> a56#(a56(a45(a45(x1)))) a46#(a46(x1)) -> a45#(a56(a56(a45(a45(x1))))) a46#(a46(x1)) -> a45#(a45(a56(a56(a45(a45(x1)))))) a12#(a12(a34(a34(x1)))) -> a12#(x1) a12#(a12(a34(a34(x1)))) -> a12#(a12(x1)) a12#(a12(a34(a34(x1)))) -> a34#(a12(a12(x1))) a12#(a12(a34(a34(x1)))) -> a34#(a34(a12(a12(x1)))) a12#(a12(a45(a45(x1)))) -> a12#(x1) a12#(a12(a45(a45(x1)))) -> a12#(a12(x1)) a12#(a12(a45(a45(x1)))) -> a45#(a12(a12(x1))) a12#(a12(a45(a45(x1)))) -> a45#(a45(a12(a12(x1)))) a12#(a12(a56(a56(x1)))) -> a12#(x1) a12#(a12(a56(a56(x1)))) -> a12#(a12(x1)) a12#(a12(a56(a56(x1)))) -> a56#(a12(a12(x1))) a12#(a12(a56(a56(x1)))) -> a56#(a56(a12(a12(x1)))) a23#(a23(a45(a45(x1)))) -> a23#(x1) a23#(a23(a45(a45(x1)))) -> a23#(a23(x1)) a23#(a23(a45(a45(x1)))) -> a45#(a23(a23(x1))) a23#(a23(a45(a45(x1)))) -> a45#(a45(a23(a23(x1)))) a23#(a23(a56(a56(x1)))) -> a23#(x1) a23#(a23(a56(a56(x1)))) -> a23#(a23(x1)) a23#(a23(a56(a56(x1)))) -> a56#(a23(a23(x1))) a23#(a23(a56(a56(x1)))) -> a56#(a56(a23(a23(x1)))) a34#(a34(a56(a56(x1)))) -> a34#(x1) a34#(a34(a56(a56(x1)))) -> a34#(a34(x1)) a34#(a34(a56(a56(x1)))) -> a56#(a34(a34(x1))) a34#(a34(a56(a56(x1)))) -> a56#(a56(a34(a34(x1)))) TRS: a12(a12(a12(a12(x1)))) -> x1 a13(a13(a13(a13(x1)))) -> x1 a14(a14(a14(a14(x1)))) -> x1 a15(a15(a15(a15(x1)))) -> x1 a16(a16(a16(a16(x1)))) -> x1 a23(a23(a23(a23(x1)))) -> x1 a24(a24(a24(a24(x1)))) -> x1 a25(a25(a25(a25(x1)))) -> x1 a26(a26(a26(a26(x1)))) -> x1 a34(a34(a34(a34(x1)))) -> x1 a35(a35(a35(a35(x1)))) -> x1 a36(a36(a36(a36(x1)))) -> x1 a45(a45(a45(a45(x1)))) -> x1 a46(a46(a46(a46(x1)))) -> x1 a56(a56(a56(a56(x1)))) -> x1 a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1)))))) a14(a14(x1)) -> a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1)))))))))) a15(a15(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) a16(a16(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))))) a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1)))))) a25(a25(x1)) -> a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1)))))))))) a26(a26(x1)) -> a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))))) a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1)))))) a36(a36(x1)) -> a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1)))))))))) a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1)))))) a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) -> x1 a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) -> x1 a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) -> x1 a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) -> x1 a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1)))) a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1)))) a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1)))) a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1)))) a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1)))) a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1)))) Usable Rule Processor: DPs: a13#(a13(x1)) -> a12#(x1) a13#(a13(x1)) -> a12#(a12(x1)) a13#(a13(x1)) -> a23#(a12(a12(x1))) a13#(a13(x1)) -> a23#(a23(a12(a12(x1)))) a13#(a13(x1)) -> a12#(a23(a23(a12(a12(x1))))) a13#(a13(x1)) -> a12#(a12(a23(a23(a12(a12(x1)))))) a14#(a14(x1)) -> a12#(x1) a14#(a14(x1)) -> a12#(a12(x1)) a14#(a14(x1)) -> a23#(a12(a12(x1))) a14#(a14(x1)) -> a23#(a23(a12(a12(x1)))) a14#(a14(x1)) -> a34#(a23(a23(a12(a12(x1))))) a14#(a14(x1)) -> a34#(a34(a23(a23(a12(a12(x1)))))) a14#(a14(x1)) -> a23#(a34(a34(a23(a23(a12(a12(x1))))))) a14#(a14(x1)) -> a23#(a23(a34(a34(a23(a23(a12(a12(x1)))))))) a14#(a14(x1)) -> a12#(a23(a23(a34(a34(a23(a23(a12(a12(x1))))))))) a14#(a14(x1)) -> a12#(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1)))))))))) a15#(a15(x1)) -> a12#(x1) a15#(a15(x1)) -> a12#(a12(x1)) a15#(a15(x1)) -> a23#(a12(a12(x1))) a15#(a15(x1)) -> a23#(a23(a12(a12(x1)))) a15#(a15(x1)) -> a34#(a23(a23(a12(a12(x1))))) a15#(a15(x1)) -> a34#(a34(a23(a23(a12(a12(x1)))))) a15#(a15(x1)) -> a45#(a34(a34(a23(a23(a12(a12(x1))))))) a15#(a15(x1)) -> a45#(a45(a34(a34(a23(a23(a12(a12(x1)))))))) a15#(a15(x1)) -> a34#(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))) a15#(a15(x1)) -> a34#(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))) a15#(a15(x1)) -> a23#(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))) a15#(a15(x1)) -> a23#(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))) a15#(a15(x1)) -> a12#(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))) a15#(a15(x1)) -> a12#(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) a16#(a16(x1)) -> a12#(x1) a16#(a16(x1)) -> a12#(a12(x1)) a16#(a16(x1)) -> a23#(a12(a12(x1))) a16#(a16(x1)) -> a23#(a23(a12(a12(x1)))) a16#(a16(x1)) -> a34#(a23(a23(a12(a12(x1))))) a16#(a16(x1)) -> a34#(a34(a23(a23(a12(a12(x1)))))) a16#(a16(x1)) -> a45#(a34(a34(a23(a23(a12(a12(x1))))))) a16#(a16(x1)) -> a45#(a45(a34(a34(a23(a23(a12(a12(x1)))))))) a16#(a16(x1)) -> a56#(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))) a16#(a16(x1)) -> a56#(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))) a16#(a16(x1)) -> a45#(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))) a16#(a16(x1)) -> a45#(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))) a16#(a16(x1)) -> a34#(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))) a16#(a16(x1)) -> a34#(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) a16#(a16(x1)) -> a23#(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))) a16#(a16(x1)) -> a23#(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))) a16#(a16(x1)) -> a12#(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))))) a16#(a16(x1)) -> a12#(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))))) a24#(a24(x1)) -> a23#(x1) a24#(a24(x1)) -> a23#(a23(x1)) a24#(a24(x1)) -> a34#(a23(a23(x1))) a24#(a24(x1)) -> a34#(a34(a23(a23(x1)))) a24#(a24(x1)) -> a23#(a34(a34(a23(a23(x1))))) a24#(a24(x1)) -> a23#(a23(a34(a34(a23(a23(x1)))))) a25#(a25(x1)) -> a23#(x1) a25#(a25(x1)) -> a23#(a23(x1)) a25#(a25(x1)) -> a34#(a23(a23(x1))) a25#(a25(x1)) -> a34#(a34(a23(a23(x1)))) a25#(a25(x1)) -> a45#(a34(a34(a23(a23(x1))))) a25#(a25(x1)) -> a45#(a45(a34(a34(a23(a23(x1)))))) a25#(a25(x1)) -> a34#(a45(a45(a34(a34(a23(a23(x1))))))) a25#(a25(x1)) -> a34#(a34(a45(a45(a34(a34(a23(a23(x1)))))))) a25#(a25(x1)) -> a23#(a34(a34(a45(a45(a34(a34(a23(a23(x1))))))))) a25#(a25(x1)) -> a23#(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1)))))))))) a26#(a26(x1)) -> a23#(x1) a26#(a26(x1)) -> a23#(a23(x1)) a26#(a26(x1)) -> a34#(a23(a23(x1))) a26#(a26(x1)) -> a34#(a34(a23(a23(x1)))) a26#(a26(x1)) -> a45#(a34(a34(a23(a23(x1))))) a26#(a26(x1)) -> a45#(a45(a34(a34(a23(a23(x1)))))) a26#(a26(x1)) -> a56#(a45(a45(a34(a34(a23(a23(x1))))))) a26#(a26(x1)) -> a56#(a56(a45(a45(a34(a34(a23(a23(x1)))))))) a26#(a26(x1)) -> a45#(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))) a26#(a26(x1)) -> a45#(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))) a26#(a26(x1)) -> a34#(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))) a26#(a26(x1)) -> a34#(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))) a26#(a26(x1)) -> a23#(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))))) a26#(a26(x1)) -> a23#(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))))) a35#(a35(x1)) -> a34#(x1) a35#(a35(x1)) -> a34#(a34(x1)) a35#(a35(x1)) -> a45#(a34(a34(x1))) a35#(a35(x1)) -> a45#(a45(a34(a34(x1)))) a35#(a35(x1)) -> a34#(a45(a45(a34(a34(x1))))) a35#(a35(x1)) -> a34#(a34(a45(a45(a34(a34(x1)))))) a36#(a36(x1)) -> a34#(x1) a36#(a36(x1)) -> a34#(a34(x1)) a36#(a36(x1)) -> a45#(a34(a34(x1))) a36#(a36(x1)) -> a45#(a45(a34(a34(x1)))) a36#(a36(x1)) -> a56#(a45(a45(a34(a34(x1))))) a36#(a36(x1)) -> a56#(a56(a45(a45(a34(a34(x1)))))) a36#(a36(x1)) -> a45#(a56(a56(a45(a45(a34(a34(x1))))))) a36#(a36(x1)) -> a45#(a45(a56(a56(a45(a45(a34(a34(x1)))))))) a36#(a36(x1)) -> a34#(a45(a45(a56(a56(a45(a45(a34(a34(x1))))))))) a36#(a36(x1)) -> a34#(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1)))))))))) a46#(a46(x1)) -> a45#(x1) a46#(a46(x1)) -> a45#(a45(x1)) a46#(a46(x1)) -> a56#(a45(a45(x1))) a46#(a46(x1)) -> a56#(a56(a45(a45(x1)))) a46#(a46(x1)) -> a45#(a56(a56(a45(a45(x1))))) a46#(a46(x1)) -> a45#(a45(a56(a56(a45(a45(x1)))))) a12#(a12(a34(a34(x1)))) -> a12#(x1) a12#(a12(a34(a34(x1)))) -> a12#(a12(x1)) a12#(a12(a34(a34(x1)))) -> a34#(a12(a12(x1))) a12#(a12(a34(a34(x1)))) -> a34#(a34(a12(a12(x1)))) a12#(a12(a45(a45(x1)))) -> a12#(x1) a12#(a12(a45(a45(x1)))) -> a12#(a12(x1)) a12#(a12(a45(a45(x1)))) -> a45#(a12(a12(x1))) a12#(a12(a45(a45(x1)))) -> a45#(a45(a12(a12(x1)))) a12#(a12(a56(a56(x1)))) -> a12#(x1) a12#(a12(a56(a56(x1)))) -> a12#(a12(x1)) a12#(a12(a56(a56(x1)))) -> a56#(a12(a12(x1))) a12#(a12(a56(a56(x1)))) -> a56#(a56(a12(a12(x1)))) a23#(a23(a45(a45(x1)))) -> a23#(x1) a23#(a23(a45(a45(x1)))) -> a23#(a23(x1)) a23#(a23(a45(a45(x1)))) -> a45#(a23(a23(x1))) a23#(a23(a45(a45(x1)))) -> a45#(a45(a23(a23(x1)))) a23#(a23(a56(a56(x1)))) -> a23#(x1) a23#(a23(a56(a56(x1)))) -> a23#(a23(x1)) a23#(a23(a56(a56(x1)))) -> a56#(a23(a23(x1))) a23#(a23(a56(a56(x1)))) -> a56#(a56(a23(a23(x1)))) a34#(a34(a56(a56(x1)))) -> a34#(x1) a34#(a34(a56(a56(x1)))) -> a34#(a34(x1)) a34#(a34(a56(a56(x1)))) -> a56#(a34(a34(x1))) a34#(a34(a56(a56(x1)))) -> a56#(a56(a34(a34(x1)))) TRS: a12(a12(a12(a12(x1)))) -> x1 a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) -> x1 a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1)))) a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1)))) a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1)))) a34(a34(a34(a34(x1)))) -> x1 a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) -> x1 a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1)))) a45(a45(a45(a45(x1)))) -> x1 a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) -> x1 a56(a56(a56(a56(x1)))) -> x1 a23(a23(a23(a23(x1)))) -> x1 a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) -> x1 a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1)))) a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1)))) Matrix Interpretation Processor: dim=1 interpretation: [a56#](x0) = x0 + 8, [a46#](x0) = 4x0 + 17, [a45#](x0) = 0, [a36#](x0) = 16x0 + 31, [a35#](x0) = 16x0 + 26, [a34#](x0) = 2x0 + 1, [a26#](x0) = 2x0 + 31, [a25#](x0) = 2x0 + 29, [a24#](x0) = 2x0, [a23#](x0) = 2x0, [a16#](x0) = 16x0 + 13, [a15#](x0) = 16x0 + 2, [a14#](x0) = 2x0 + 13, [a13#](x0) = 19x0 + 31, [a12#](x0) = 2x0, [a56](x0) = x0 + 4, [a46](x0) = x0, [a45](x0) = x0 + 1, [a36](x0) = x0 + 1, [a35](x0) = 3x0 + 1, [a34](x0) = x0 + 3, [a26](x0) = 16x0 + 16, [a25](x0) = x0, [a24](x0) = x0 + 24, [a23](x0) = x0, [a16](x0) = 2x0 + 3, [a15](x0) = x0 + 3, [a14](x0) = 8x0 + 21, [a13](x0) = 3x0, [a12](x0) = x0 + 2 orientation: a13#(a13(x1)) = 57x1 + 31 >= 2x1 = a12#(x1) a13#(a13(x1)) = 57x1 + 31 >= 2x1 + 4 = a12#(a12(x1)) a13#(a13(x1)) = 57x1 + 31 >= 2x1 + 8 = a23#(a12(a12(x1))) a13#(a13(x1)) = 57x1 + 31 >= 2x1 + 8 = a23#(a23(a12(a12(x1)))) a13#(a13(x1)) = 57x1 + 31 >= 2x1 + 8 = a12#(a23(a23(a12(a12(x1))))) a13#(a13(x1)) = 57x1 + 31 >= 2x1 + 12 = a12#(a12(a23(a23(a12(a12(x1)))))) a14#(a14(x1)) = 16x1 + 55 >= 2x1 = a12#(x1) a14#(a14(x1)) = 16x1 + 55 >= 2x1 + 4 = a12#(a12(x1)) a14#(a14(x1)) = 16x1 + 55 >= 2x1 + 8 = a23#(a12(a12(x1))) a14#(a14(x1)) = 16x1 + 55 >= 2x1 + 8 = a23#(a23(a12(a12(x1)))) a14#(a14(x1)) = 16x1 + 55 >= 2x1 + 9 = a34#(a23(a23(a12(a12(x1))))) a14#(a14(x1)) = 16x1 + 55 >= 2x1 + 15 = a34#(a34(a23(a23(a12(a12(x1)))))) a14#(a14(x1)) = 16x1 + 55 >= 2x1 + 20 = a23#(a34(a34(a23(a23(a12(a12(x1))))))) a14#(a14(x1)) = 16x1 + 55 >= 2x1 + 20 = a23#(a23(a34(a34(a23(a23(a12(a12(x1)))))))) a14#(a14(x1)) = 16x1 + 55 >= 2x1 + 20 = a12#(a23(a23(a34(a34(a23(a23(a12(a12(x1))))))))) a14#(a14(x1)) = 16x1 + 55 >= 2x1 + 24 = a12#(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1)))))))))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 = a12#(x1) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 4 = a12#(a12(x1)) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 8 = a23#(a12(a12(x1))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 8 = a23#(a23(a12(a12(x1)))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 9 = a34#(a23(a23(a12(a12(x1))))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 15 = a34#(a34(a23(a23(a12(a12(x1)))))) a15#(a15(x1)) = 16x1 + 50 >= 0 = a45#(a34(a34(a23(a23(a12(a12(x1))))))) a15#(a15(x1)) = 16x1 + 50 >= 0 = a45#(a45(a34(a34(a23(a23(a12(a12(x1)))))))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 25 = a34#(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 31 = a34#(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 36 = a23#(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 36 = a23#(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 36 = a12#(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))) a15#(a15(x1)) = 16x1 + 50 >= 2x1 + 40 = a12#(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 = a12#(x1) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 4 = a12#(a12(x1)) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 8 = a23#(a12(a12(x1))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 8 = a23#(a23(a12(a12(x1)))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 9 = a34#(a23(a23(a12(a12(x1))))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 15 = a34#(a34(a23(a23(a12(a12(x1)))))) a16#(a16(x1)) = 32x1 + 61 >= 0 = a45#(a34(a34(a23(a23(a12(a12(x1))))))) a16#(a16(x1)) = 32x1 + 61 >= 0 = a45#(a45(a34(a34(a23(a23(a12(a12(x1)))))))) a16#(a16(x1)) = 32x1 + 61 >= x1 + 20 = a56#(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))) a16#(a16(x1)) = 32x1 + 61 >= x1 + 24 = a56#(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))) a16#(a16(x1)) = 32x1 + 61 >= 0 = a45#(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))) a16#(a16(x1)) = 32x1 + 61 >= 0 = a45#(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 45 = a34#(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 51 = a34#(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 56 = a23#(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 56 = a23#(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 56 = a12#(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))))) a16#(a16(x1)) = 32x1 + 61 >= 2x1 + 60 = a12#(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))))) a24#(a24(x1)) = 2x1 + 48 >= 2x1 = a23#(x1) a24#(a24(x1)) = 2x1 + 48 >= 2x1 = a23#(a23(x1)) a24#(a24(x1)) = 2x1 + 48 >= 2x1 + 1 = a34#(a23(a23(x1))) a24#(a24(x1)) = 2x1 + 48 >= 2x1 + 7 = a34#(a34(a23(a23(x1)))) a24#(a24(x1)) = 2x1 + 48 >= 2x1 + 12 = a23#(a34(a34(a23(a23(x1))))) a24#(a24(x1)) = 2x1 + 48 >= 2x1 + 12 = a23#(a23(a34(a34(a23(a23(x1)))))) a25#(a25(x1)) = 2x1 + 29 >= 2x1 = a23#(x1) a25#(a25(x1)) = 2x1 + 29 >= 2x1 = a23#(a23(x1)) a25#(a25(x1)) = 2x1 + 29 >= 2x1 + 1 = a34#(a23(a23(x1))) a25#(a25(x1)) = 2x1 + 29 >= 2x1 + 7 = a34#(a34(a23(a23(x1)))) a25#(a25(x1)) = 2x1 + 29 >= 0 = a45#(a34(a34(a23(a23(x1))))) a25#(a25(x1)) = 2x1 + 29 >= 0 = a45#(a45(a34(a34(a23(a23(x1)))))) a25#(a25(x1)) = 2x1 + 29 >= 2x1 + 17 = a34#(a45(a45(a34(a34(a23(a23(x1))))))) a25#(a25(x1)) = 2x1 + 29 >= 2x1 + 23 = a34#(a34(a45(a45(a34(a34(a23(a23(x1)))))))) a25#(a25(x1)) = 2x1 + 29 >= 2x1 + 28 = a23#(a34(a34(a45(a45(a34(a34(a23(a23(x1))))))))) a25#(a25(x1)) = 2x1 + 29 >= 2x1 + 28 = a23#(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1)))))))))) a26#(a26(x1)) = 32x1 + 63 >= 2x1 = a23#(x1) a26#(a26(x1)) = 32x1 + 63 >= 2x1 = a23#(a23(x1)) a26#(a26(x1)) = 32x1 + 63 >= 2x1 + 1 = a34#(a23(a23(x1))) a26#(a26(x1)) = 32x1 + 63 >= 2x1 + 7 = a34#(a34(a23(a23(x1)))) a26#(a26(x1)) = 32x1 + 63 >= 0 = a45#(a34(a34(a23(a23(x1))))) a26#(a26(x1)) = 32x1 + 63 >= 0 = a45#(a45(a34(a34(a23(a23(x1)))))) a26#(a26(x1)) = 32x1 + 63 >= x1 + 16 = a56#(a45(a45(a34(a34(a23(a23(x1))))))) a26#(a26(x1)) = 32x1 + 63 >= x1 + 20 = a56#(a56(a45(a45(a34(a34(a23(a23(x1)))))))) a26#(a26(x1)) = 32x1 + 63 >= 0 = a45#(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))) a26#(a26(x1)) = 32x1 + 63 >= 0 = a45#(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))) a26#(a26(x1)) = 32x1 + 63 >= 2x1 + 37 = a34#(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))) a26#(a26(x1)) = 32x1 + 63 >= 2x1 + 43 = a34#(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))) a26#(a26(x1)) = 32x1 + 63 >= 2x1 + 48 = a23#(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))))) a26#(a26(x1)) = 32x1 + 63 >= 2x1 + 48 = a23#(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))))) a35#(a35(x1)) = 48x1 + 42 >= 2x1 + 1 = a34#(x1) a35#(a35(x1)) = 48x1 + 42 >= 2x1 + 7 = a34#(a34(x1)) a35#(a35(x1)) = 48x1 + 42 >= 0 = a45#(a34(a34(x1))) a35#(a35(x1)) = 48x1 + 42 >= 0 = a45#(a45(a34(a34(x1)))) a35#(a35(x1)) = 48x1 + 42 >= 2x1 + 17 = a34#(a45(a45(a34(a34(x1))))) a35#(a35(x1)) = 48x1 + 42 >= 2x1 + 23 = a34#(a34(a45(a45(a34(a34(x1)))))) a36#(a36(x1)) = 16x1 + 47 >= 2x1 + 1 = a34#(x1) a36#(a36(x1)) = 16x1 + 47 >= 2x1 + 7 = a34#(a34(x1)) a36#(a36(x1)) = 16x1 + 47 >= 0 = a45#(a34(a34(x1))) a36#(a36(x1)) = 16x1 + 47 >= 0 = a45#(a45(a34(a34(x1)))) a36#(a36(x1)) = 16x1 + 47 >= x1 + 16 = a56#(a45(a45(a34(a34(x1))))) a36#(a36(x1)) = 16x1 + 47 >= x1 + 20 = a56#(a56(a45(a45(a34(a34(x1)))))) a36#(a36(x1)) = 16x1 + 47 >= 0 = a45#(a56(a56(a45(a45(a34(a34(x1))))))) a36#(a36(x1)) = 16x1 + 47 >= 0 = a45#(a45(a56(a56(a45(a45(a34(a34(x1)))))))) a36#(a36(x1)) = 16x1 + 47 >= 2x1 + 37 = a34#(a45(a45(a56(a56(a45(a45(a34(a34(x1))))))))) a36#(a36(x1)) = 16x1 + 47 >= 2x1 + 43 = a34#(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1)))))))))) a46#(a46(x1)) = 4x1 + 17 >= 0 = a45#(x1) a46#(a46(x1)) = 4x1 + 17 >= 0 = a45#(a45(x1)) a46#(a46(x1)) = 4x1 + 17 >= x1 + 10 = a56#(a45(a45(x1))) a46#(a46(x1)) = 4x1 + 17 >= x1 + 14 = a56#(a56(a45(a45(x1)))) a46#(a46(x1)) = 4x1 + 17 >= 0 = a45#(a56(a56(a45(a45(x1))))) a46#(a46(x1)) = 4x1 + 17 >= 0 = a45#(a45(a56(a56(a45(a45(x1)))))) a12#(a12(a34(a34(x1)))) = 2x1 + 16 >= 2x1 = a12#(x1) a12#(a12(a34(a34(x1)))) = 2x1 + 16 >= 2x1 + 4 = a12#(a12(x1)) a12#(a12(a34(a34(x1)))) = 2x1 + 16 >= 2x1 + 9 = a34#(a12(a12(x1))) a12#(a12(a34(a34(x1)))) = 2x1 + 16 >= 2x1 + 15 = a34#(a34(a12(a12(x1)))) a12#(a12(a45(a45(x1)))) = 2x1 + 8 >= 2x1 = a12#(x1) a12#(a12(a45(a45(x1)))) = 2x1 + 8 >= 2x1 + 4 = a12#(a12(x1)) a12#(a12(a45(a45(x1)))) = 2x1 + 8 >= 0 = a45#(a12(a12(x1))) a12#(a12(a45(a45(x1)))) = 2x1 + 8 >= 0 = a45#(a45(a12(a12(x1)))) a12#(a12(a56(a56(x1)))) = 2x1 + 20 >= 2x1 = a12#(x1) a12#(a12(a56(a56(x1)))) = 2x1 + 20 >= 2x1 + 4 = a12#(a12(x1)) a12#(a12(a56(a56(x1)))) = 2x1 + 20 >= x1 + 12 = a56#(a12(a12(x1))) a12#(a12(a56(a56(x1)))) = 2x1 + 20 >= x1 + 16 = a56#(a56(a12(a12(x1)))) a23#(a23(a45(a45(x1)))) = 2x1 + 4 >= 2x1 = a23#(x1) a23#(a23(a45(a45(x1)))) = 2x1 + 4 >= 2x1 = a23#(a23(x1)) a23#(a23(a45(a45(x1)))) = 2x1 + 4 >= 0 = a45#(a23(a23(x1))) a23#(a23(a45(a45(x1)))) = 2x1 + 4 >= 0 = a45#(a45(a23(a23(x1)))) a23#(a23(a56(a56(x1)))) = 2x1 + 16 >= 2x1 = a23#(x1) a23#(a23(a56(a56(x1)))) = 2x1 + 16 >= 2x1 = a23#(a23(x1)) a23#(a23(a56(a56(x1)))) = 2x1 + 16 >= x1 + 8 = a56#(a23(a23(x1))) a23#(a23(a56(a56(x1)))) = 2x1 + 16 >= x1 + 12 = a56#(a56(a23(a23(x1)))) a34#(a34(a56(a56(x1)))) = 2x1 + 23 >= 2x1 + 1 = a34#(x1) a34#(a34(a56(a56(x1)))) = 2x1 + 23 >= 2x1 + 7 = a34#(a34(x1)) a34#(a34(a56(a56(x1)))) = 2x1 + 23 >= x1 + 14 = a56#(a34(a34(x1))) a34#(a34(a56(a56(x1)))) = 2x1 + 23 >= x1 + 18 = a56#(a56(a34(a34(x1)))) a12(a12(a12(a12(x1)))) = x1 + 8 >= x1 = x1 a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) = x1 + 12 >= x1 = x1 a12(a12(a34(a34(x1)))) = x1 + 10 >= x1 + 10 = a34(a34(a12(a12(x1)))) a12(a12(a45(a45(x1)))) = x1 + 6 >= x1 + 6 = a45(a45(a12(a12(x1)))) a12(a12(a56(a56(x1)))) = x1 + 12 >= x1 + 12 = a56(a56(a12(a12(x1)))) a34(a34(a34(a34(x1)))) = x1 + 12 >= x1 = x1 a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) = x1 + 24 >= x1 = x1 a34(a34(a56(a56(x1)))) = x1 + 14 >= x1 + 14 = a56(a56(a34(a34(x1)))) a45(a45(a45(a45(x1)))) = x1 + 4 >= x1 = x1 a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) = x1 + 30 >= x1 = x1 a56(a56(a56(a56(x1)))) = x1 + 16 >= x1 = x1 a23(a23(a23(a23(x1)))) = x1 >= x1 = x1 a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) = x1 + 18 >= x1 = x1 a23(a23(a45(a45(x1)))) = x1 + 2 >= x1 + 2 = a45(a45(a23(a23(x1)))) a23(a23(a56(a56(x1)))) = x1 + 8 >= x1 + 8 = a56(a56(a23(a23(x1)))) problem: DPs: TRS: a12(a12(a12(a12(x1)))) -> x1 a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) -> x1 a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1)))) a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1)))) a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1)))) a34(a34(a34(a34(x1)))) -> x1 a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) -> x1 a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1)))) a45(a45(a45(a45(x1)))) -> x1 a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) -> x1 a56(a56(a56(a56(x1)))) -> x1 a23(a23(a23(a23(x1)))) -> x1 a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) -> x1 a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1)))) a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1)))) Qed