NO (ignored inputs)COMMENT reduction failed Rewrite Rules: [ plus(?x,0) -> ?x, plus(0,1) -> 1, plus(?x,plus(?y,1)) -> plus(plus(?x,?y),1), times(?x,0) -> 0, times(?x,1) -> ?x, times(?x,plus(?y,1)) -> plus(times(?x,?y),?x), m(0) -> 0, plus(m(1),1) -> 0, plus(m(plus(?x,1)),1) -> m(?x), m(m(?x)) -> ?x, plus(?x,m(?y)) -> m(plus(m(?x),?y)), times(?x,m(?y)) -> m(times(?x,?y)) ] Apply Direct Methods... Inner CPs: [ plus(?x_1,1) = plus(plus(?x_1,0),1), plus(?x_1,0) = plus(plus(?x_1,m(1)),1), plus(?x_1,m(?x_5)) = plus(plus(?x_1,m(plus(?x_5,1))),1), times(?x_4,1) = plus(times(?x_4,0),?x_4), times(?x_4,0) = plus(times(?x_4,m(1)),?x_4), times(?x_4,m(?x_5)) = plus(times(?x_4,m(plus(?x_5,1))),?x_4), plus(m(1),1) = m(0), plus(m(0),1) = m(m(1)), m(0) = 0, plus(?x_7,0) = m(plus(m(?x_7),0)), plus(?x_7,?x_6) = m(plus(m(?x_7),m(?x_6))), times(?x_8,0) = m(times(?x_8,0)), times(?x_8,?x_6) = m(times(?x_8,m(?x_6))), plus(m(m(?x)),1) = m(m(plus(?x,1))), m(?x) = m(?x) ] Outer CPs: [ ] not Overlay, check Termination... Terminating, not WCR Knuth & Bendix Direct Methods: not CR Combined result: not CR /tmp/filefTdsIn.trs: Success(not CR) (5 msec.)