----- Otter 3.0.4, August 1995 ----- The job was started by mccune on gyro, Wed Nov 1 21:51:02 1995 ----> UNIT CONFLICT at 2.32 sec ----> 184 [binary,183.1,1.1] -> . Length of proof is 6. Level of proof is 5. ---------------- 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). 8 [para_into,5.1.1.1,5.1.2] -> ((x* (y*z))*u)*v= ((x*y)*z)* (u*v). 24 [gL,8] -> ((x* (y*z))*u)*v= ((x*y)*u)* (z*v). 29 [para_into,24.1.1.1,5.1.1,gL-id] -> (x* (y*z))*u= (x*z)* (y*u). 32 [para_into,24.1.1,8.1.1,gL-id] -> (x*y)* (z*u)= (x*z)* (y*u). 67 [hyper,4,5,29] -> x* (y*z)=x* (z*y). 183 [hyper,3,32,67] -> x*y=y*x. 184 [binary,183.1,1.1] -> . ------------ end of proof -------------