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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Arctic Interpretation Processor: dimension: 1 interpretation: [1#](x0) = x0 + 1, [0](x0) = 6x0 + 14, [2](x0) = -6x0 + 0, [1](x0) = x0 + 6 orientation: 1#(2(1(0(x1)))) = x1 + 8 >= -6x1 + 1 = 1#(2(1(x1))) 1#(2(1(0(x1)))) = x1 + 8 >= -6x1 + 6 = 1#(1(2(1(x1)))) 1#(2(1(0(x1)))) = x1 + 8 >= x1 + 1 = 1#(x1) 1(2(1(0(x1)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 1(2(1(0(x1)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 1(2(1(0(x1)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 1(2(1(0(x1)))) = x1 + 8 >= -6x1 + 8 = 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)))) = x1 + 8 >= -6x1 + 8 = 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)))) = x1 + 8 >= -6x1 + 8 = 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)))) = x1 + 8 >= -6x1 + 8 = 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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(2(1(0(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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(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)))) = x1 + 8 >= -6x1 + 8 = 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(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: 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#(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#(x1) -> 1#(2(1(0(x1)))) -> 1#(x1) CDG Processor: DPs: 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)))) -> 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