% SZS status Success for ring_unit.trs 85.15 (total time) S-CONVERGENT TRS: p(zero(),x) -> x m(one(),x) -> x m(x,one()) -> 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: 28 number of nodes: 938 number of processes: 5 time for orient: 66.60 time for rewrite: 11.01 time for S-rewrite: 0.01 time for deduce: 4.90 Selection strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?))) time for selection: 0.17 Termination Checks (external with callmuterm ) termination checks: 70 (yes: 46, timeouts: 23) time limit for check: 2.50 termination time: 65.90 Critical pair criterion (primality) redundant CPs in total: 519 for successful process: 291 time to check: 2.75 Indexing techniques: code tree (rewriting) discrimination tree (overlaps) variants: 0.40 encompassments: 2.98 overlaps: 0.00 maintenance: 0.01 One: 0.000134 Two: 66.602212 Total time: 85.164765