% SZS status Success for ring.trs 119.55 (total time) S-CONVERGENT TRS: p(zero(),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(x,p(y,z)) -> p(m(x,y),m(x,z)) m(p(x,z),y) -> p(m(x,y),m(z,y)) m(x,zero()) -> zero() m(zero(),x) -> zero() m(x,i(y)) -> i(m(x,y)) m(i(x),y) -> i(m(x,y)) STATISTICS Theory convergent system S: theories/ac.trs General number of iterations: 40 number of nodes: 991 number of processes: 5 time for orient: 95.43 time for rewrite: 12.32 time for S-rewrite: 0.01 time for deduce: 5.36 Selection strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?))) time for selection: 0.45 Termination Checks (external with callmuterm ) termination checks: 81 (yes: 45, timeouts: 34) time limit for check: 2.50 termination time: 90.95 Critical pair criterion (primality) redundant CPs in total: 511 for successful process: 271 time to check: 3.07 Indexing techniques: code tree (rewriting) discrimination tree (overlaps) variants: 0.46 encompassments: 3.28 overlaps: 0.00 maintenance: 0.01 One: 0.000190 Two: 95.434908 Total time: 119.559256