% SZS status Success for assoc_ring_unit.trs 125.27 (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 m(m(x,y),z) -> m(x,m(y,z)) p(i(p(x,y)),y) -> i(x) i(p(i(y),x)) -> p(i(x),y) m(x,p(y,z)) -> p(m(x,y),m(x,z)) p(i(x),i(y)) -> i(p(x,y)) 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: 32 number of nodes: 756 number of processes: 7 time for orient: 107.70 time for rewrite: 9.91 time for S-rewrite: 0.01 time for deduce: 4.37 Selection strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?))) time for selection: 0.28 Termination Checks (external with callmuterm ) termination checks: 106 (yes: 73, timeouts: 30) time limit for check: 2.50 termination time: 104.97 Critical pair criterion (primality) redundant CPs in total: 520 for successful process: 317 time to check: 2.40 Indexing techniques: code tree (rewriting) discrimination tree (overlaps) variants: 0.34 encompassments: 2.48 overlaps: 0.00 maintenance: 0.01 One: 0.000155 Two: 107.702971 Total time: 125.290309