% SZS status Satisfiable for assoc_ring_unit.trs 150.11 (total time) AC-COMPLETE 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() p(i(x),p(i(y),z)) -> p(i(p(x,y)),z) m(x,i(y)) -> i(m(x,y)) m(i(x),y) -> i(m(x,y)) STATISTICS General number of iterations: 37 number of nodes: 1239 number of processes: 7 time for orient: 119.98 time for rewrite: 18.33 time for deduce: 4.47 Selection strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?))) time for selection: 0.64 Termination Checks (external with callmuterm ) termination checks: 110 (yes: 69, timeouts: 35) time limit for check: 2.50 termination time: 118.43 Critical pair criterion (primality) redundant CPs in total: 455 for successful process: 233 Indexing techniques: code tree (rewriting) discrimination tree (overlaps) variants: 0.81 encompassments: 2.97 overlaps: 0.00 maintenance: 0.01 One: 0.000000 Two: 0.000000 Total time: 150.141927