% SZS status Success for abelian_groups_comm_action.trs 15.40 (total time) S-CONVERGENT TRS: g1(zero()) -> zero() g2(zero()) -> zero() phi(zero(),x) -> x phi(x,phi(y,z)) -> phi(p(x,y),z) phi(g2(x),g1(y)) -> phi(g1(y),g2(x)) g1(p(y(),x)) -> p(g1(y()),g1(x)) g2(p(y(),x)) -> p(g2(y()),g2(x)) g1(i(y())) -> i(g1(y())) g2(i(y())) -> i(g2(y())) STATISTICS Theory convergent system S: theories/groups1.trs General number of iterations: 13 number of nodes: 486 number of processes: 35 time for orient: 5.77 time for rewrite: 3.56 time for S-rewrite: 0.12 time for deduce: 0.52 Selection strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?))) time for selection: 0.62 Termination Checks (external with callmuterm ) termination checks: 125 (yes: 105, timeouts: 0) time limit for check: 2.50 termination time: 4.64 Critical pair criterion (primality) redundant CPs in total: 57 for successful process: 17 time to check: 0.10 Indexing techniques: code tree (rewriting) discrimination tree (overlaps) variants: 0.26 encompassments: 1.76 overlaps: 0.00 maintenance: 0.00 One: 0.000063 Two: 5.769415 Total time: 15.410008