----- Otter 3.0.4, August 1995 ----- The job was started by mccune on gyro, Wed Nov 1 21:49:50 1995 ----> UNIT CONFLICT at 6.13 sec ----> 1206 [binary,1205.1,5.1] -> . Length of proof is 5. Level of proof is 4. ---------------- PROOF ---------------- 2 [] x*y=u, x*z=u -> y=z. 3 [] y*x=u, z*x=u -> y=z. 4 [] -> (x*y)*z=x* (y*z). 5 [] B*A=A*B -> . 6 [para_into,4.1.1.1.1,4.1.2] -> (((x*y)*z)*u)*v= (x* (y*z))* (u*v). 11 [para_into,4.1.1.1,4.1.1] -> (x* (y*z))*u= (x*y)* (z*u). 432 [gL,6] -> (((x*y)*z)*u)*v= (x*u)* ((y*z)*v). 433 [hyper,3,11,432,flip.1] -> ((x*y)*z)*u=x* (u* (y*z)). 1205 [hyper,2,432,433] -> x*y=y*x. 1206 [binary,1205.1,5.1] -> . ------------ end of proof -------------