----- Otter 3.0.4, August 1995 ----- The job was started by mccune on gyro, Wed Nov 1 21:50:56 1995 ----> UNIT CONFLICT at 0.48 sec ----> 92 [binary,91.1,1.1] -> . Length of proof is 5. Level of proof is 4. ---------------- PROOF ---------------- 1 [] B*A=A*B -> . 3 [] x*y=z, x*u=z -> y=u. 4 [] x*y=z, u*y=z -> x=u. 5 [] -> x* (y* (z*u))= (x*y)* (z*u). 6 [copy,5,flip.1] -> (x*y)* (z*u)=x* (y* (z*u)). 13 [para_into,6.1.2.2,6.1.2,gL-id] -> (x*y)* (z*u)=x* ((y*z)*u). 15 [gL,6] -> (x*y)* (z*u)=x* (z* (y*u)). 42 [hyper,3,13,15,flip.1] -> (x*y)*z=y* (x*z). 91 [hyper,4,15,42] -> x*y=y*x. 92 [binary,91.1,1.1] -> . ------------ end of proof -------------