----- Otter 3.0.4, August 1995 ----- The job was started by mccune on gyro, Wed Nov 1 22:01:55 1995 ----> UNIT CONFLICT at 0.46 sec ----> 85 [binary,84.1,1.1] -> . Length of proof is 5. Level of proof is 5. ---------------- PROOF ---------------- 1 [] A@ *A=B@ *B -> . 4,3 [] -> x* ((((x*y@ )*y)@ *z)* (u@ *u))=z. 5 [para_into,3.1.1.2.1,3.1.1] -> x* (y* (z@ *z))= (((((x*u@ )*u)@ *v@ )*v)@ *y)* (w@ *w). 6 [copy,5,flip.1] -> (((((x*y@ )*y)@ *z@ )*z)@ *u)* (v@ *v)=x* (u* (w@ *w)). 28 [para_into,6.1.1,6.1.1] -> x* (y* (z@ *z))=x* (y* (u@ *u)). 64 [para_from,28.1.1,3.1.1.2.1,demod,4] -> x* (y@ *y)=x* (z@ *z). 84 [para_from,64.1.1,3.1.1.2.1,demod,4] -> x@ *x=y@ *y. 85 [binary,84.1,1.1] -> . ------------ end of proof -------------