YES Problem: 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1)))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2( 0 ( 1 ( 2 ( 0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0 ( 1 ( 2 ( 0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Proof: String Reversal Processor: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) DP Processor: DPs: 1#(2(1(0(x1)))) -> 1#(x1) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) 1#(2(1(0(x1)))) -> 1#(0(1(1(2(1(x1)))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(1(1(2(1(x1))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))) TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) EDG Processor: DPs: 1#(2(1(0(x1)))) -> 1#(x1) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) 1#(2(1(0(x1)))) -> 1#(0(1(1(2(1(x1)))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(1(1(2(1(x1))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))) TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 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1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 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1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(x1) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(2(1(x1))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(1(1(2(1(x1)))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(1(1(2(1(x1))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))) SCC Processor: #sccs: 1 #rules: 3 #arcs: 63/441 DPs: 1#(2(1(0(x1)))) -> 1#(2(1(x1))) 1#(2(1(0(x1)))) -> 1#(1(2(1(x1)))) 1#(2(1(0(x1)))) -> 1#(x1) TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Bounds Processor: bound: 1 enrichment: match-dp automaton: final states: {5} transitions: 20(7) -> 8* 20(21) -> 22* 20(83) -> 84* 20(18) -> 19* 20(80) -> 81* 10(20) -> 21* 10(15) -> 16* 10(82) -> 83* 10(77) -> 78* 10(17) -> 18* 10(79) -> 80* 10(6) -> 7* 10(8) -> 9* 00(19) -> 20* 00(81) -> 82* 00(16) -> 17* 00(78) -> 79* 1{#,1}(133) -> 134* 1{#,1}(33) -> 34* 11(30) -> 31* 11(132) -> 133* 11(92) -> 93* 11(87) -> 88* 11(57) -> 58* 11(32) -> 33* 11(179) -> 180* 11(89) -> 90* 11(155) -> 156* 11(130) -> 131* 21(131) -> 132* 21(31) -> 32* 21(93) -> 94* 21(90) -> 91* 01(91) -> 92* 01(88) -> 89* 01(105) -> 106* f50() -> 6* 1{#,0}(45) -> 46* 1{#,0}(177) -> 178* 1{#,0}(167) -> 168* 1{#,0}(47) -> 48* 1{#,0}(219) -> 220* 1{#,0}(9) -> 5* 1{#,0}(120) -> 121* 9 -> 15* 16 -> 120,57 19 -> 7,16,47,30 22 -> 9* 32 -> 45* 33 -> 87,77 34 -> 178,121,48,5 46 -> 178,121,48,5 48 -> 5* 58 -> 31* 78 -> 219,179 81 -> 177,130 84 -> 16* 94 -> 131,58,105,31 106 -> 92* 121 -> 48,5 132 -> 167* 133 -> 155* 134 -> 121* 156 -> 88* 168 -> 121,48 178 -> 121,48 180 -> 31* 220 -> 178,121 problem: DPs: 1#(2(1(0(x1)))) -> 1#(2(1(x1))) 1#(2(1(0(x1)))) -> 1#(x1) TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Restore Modifier: DPs: 1#(2(1(0(x1)))) -> 1#(2(1(x1))) 1#(2(1(0(x1)))) -> 1#(x1) TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) EDG Processor: DPs: 1#(2(1(0(x1)))) -> 1#(2(1(x1))) 1#(2(1(0(x1)))) -> 1#(x1) TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) graph: 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(2(1(x1))) 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(x1) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(2(1(x1))) 1#(2(1(0(x1)))) -> 1#(x1) -> 1#(2(1(0(x1)))) -> 1#(x1) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {5} transitions: 20(65) -> 66* 20(30) -> 31* 20(10) -> 11* 20(157) -> 158* 20(117) -> 118* 20(97) -> 98* 20(37) -> 38* 20(179) -> 180* 20(149) -> 150* 20(129) -> 130* 20(69) -> 70* 20(49) -> 50* 20(201) -> 202* 20(176) -> 177* 20(171) -> 172* 20(101) -> 102* 20(81) -> 82* 20(198) -> 199* 20(193) -> 194* 20(133) -> 134* 20(113) -> 114* 20(53) -> 54* 20(33) -> 34* 20(145) -> 146* 20(85) -> 86* f150() -> 6* 10(207) -> 208* 10(197) -> 198* 10(192) -> 193* 10(172) -> 173* 10(132) -> 133* 10(112) -> 113* 10(52) -> 53* 10(32) -> 33* 10(27) -> 28* 10(194) -> 195* 10(144) -> 145* 10(84) -> 85* 10(64) -> 65* 10(29) -> 30* 10(9) -> 10* 10(156) -> 157* 10(116) -> 117* 10(96) -> 97* 10(36) -> 37* 10(26) -> 27* 10(213) -> 214* 10(178) -> 179* 10(173) -> 174* 10(148) -> 149* 10(128) -> 129* 10(68) -> 69* 10(48) -> 49* 10(200) -> 201* 10(195) -> 196* 10(175) -> 176* 10(170) -> 171* 10(100) -> 101* 10(80) -> 81* 00(35) -> 36* 00(177) -> 178* 00(147) -> 148* 00(127) -> 128* 00(67) -> 68* 00(47) -> 48* 00(199) -> 200* 00(174) -> 175* 00(99) -> 100* 00(79) -> 80* 00(196) -> 197* 00(131) -> 132* 00(111) -> 112* 00(51) -> 52* 00(31) -> 32* 00(203) -> 204* 00(143) -> 144* 00(83) -> 84* 00(63) -> 64* 00(28) -> 29* 00(155) -> 156* 00(115) -> 116* 00(95) -> 96* 1{#,0}(11) -> 12* 1{#,0}(6) -> 5* 5 -> 12* 6 -> 9* 11 -> 26* 12 -> 5* 28 -> 192* 31 -> 28,170 34 -> 27,35,10 38 -> 47,10 50 -> 51,10 54 -> 63,10 66 -> 67,10 70 -> 79,10 82 -> 83,10 86 -> 95,10 98 -> 99,10 102 -> 111,10 114 -> 115,10 118 -> 127,10 130 -> 131,10 134 -> 143,10 146 -> 147,10 150 -> 155,10 158 -> 10* 174 -> 213* 177 -> 207* 180 -> 28* 202 -> 208,193,203,171 204 -> 200* 208 -> 193* 214 -> 193* problem: DPs: 1#(2(1(0(x1)))) -> 1#(2(1(x1))) TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Restore Modifier: DPs: 1#(2(1(0(x1)))) -> 1#(2(1(x1))) TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) EDG Processor: DPs: 1#(2(1(0(x1)))) -> 1#(2(1(x1))) TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) graph: 1#(2(1(0(x1)))) -> 1#(2(1(x1))) -> 1#(2(1(0(x1)))) -> 1#(2(1(x1))) Arctic Interpretation Processor: dimension: 1 usable rules: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) interpretation: [1#](x0) = x0 + 0, [0](x0) = 6x0 + 12, [2](x0) = -16x0 + 0, [1](x0) = 8x0 orientation: 1#(2(1(0(x1)))) = -2x1 + 4 >= -8x1 + 0 = 1#(2(1(x1))) 1(2(1(0(x1)))) = 6x1 + 12 >= 4x1 + 12 = 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= 2x1 + 10 = 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= x1 + 8 = 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -2x1 + 6 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -4x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -6x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -8x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -10x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -12x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -14x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1 ( 2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -16x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 1 ( 1 ( 2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -18x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 1 ( 1 ( 2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -20x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 1 ( 1 ( 2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -22x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 1 ( 1 ( 2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -24x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 1 ( 1 ( 2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -26x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 1 ( 1 ( 2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) = 6x1 + 12 >= -28x1 + 4 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 1 ( 1 ( 2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) problem: DPs: TRS: 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1 ( 0 ( 2 ( 1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Qed