% SZS status Success for assoc_comm_ring_unit.trs 28.51 (total time) S-CONVERGENT TRS: m(one(),x) -> x p(i(x),x) -> zero() i(zero()) -> zero() i(i(x)) -> x p(i(p(x,y)),y) -> i(x) i(p(i(y),x)) -> p(i(x),y) p(i(x),i(y)) -> i(p(x,y)) m(p(x,y),z) -> p(m(x,z),m(y,z)) m(zero(),x) -> zero() m(i(x),y) -> i(m(x,y)) STATISTICS Theory convergent system S: theories/acu.trs General number of iterations: 15 number of nodes: 466 number of processes: 3 time for orient: 18.20 time for rewrite: 5.37 time for S-rewrite: 0.08 time for deduce: 4.18 Selection strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?))) time for selection: 0.04 Termination Checks (external with callmuterm ) termination checks: 27 (yes: 22, timeouts: 4) time limit for check: 2.50 termination time: 17.95 Critical pair criterion (primality) redundant CPs in total: 285 for successful process: 198 time to check: 1.88 Indexing techniques: code tree (rewriting) discrimination tree (overlaps) variants: 0.16 encompassments: 1.39 overlaps: 0.00 maintenance: 0.01 One: 0.000064 Two: 18.199652 Total time: 28.524806