----- Otter 3.0.4, August 1995 ----- The job was started by mccune on gyro, Wed Nov 1 21:51:13 1995 ----> UNIT CONFLICT at 1.52 sec ----> 39 [binary,38.1,1.1] -> . Length of proof is 6. Level of proof is 4. ---------------- PROOF ---------------- 1 [] B*A=A*B -> . 2 [] -> x=x. 3 [] x*y=z, x*u=z -> y=u. 4 [] x*y=z, u*y=z -> x=u. 5 [] -> (x*x)*y=x* (x*y). 6 [] -> (x*y)*x=x* (y*x). 12 [para_from,6.1.2,5.1.2.2,gL-id] -> (x*x)* (y*z)=x* ((x*y)*z). 13 [para_into,12.1.1,5.1.1,gL-id,flip.1] -> x* ((y*z)*u)=x* (y* (z*u)). 14 [para_into,12.1.2.2,5.1.1,gL-id] -> (x*x)* (y*z)=x* (y* (x*z)). 19 [hyper,3,2,13,flip.1] -> (x*y)*z=x* (y*z). 22 [hyper,3,12,14,flip.1] -> (x*y)*z=y* (x*z). 38 [hyper,4,19,22] -> x*y=y*x. 39 [binary,38.1,1.1] -> . ------------ end of proof -------------