% SZS status Satisfiable for assoc_ring_unit.trs 247.70 (total time) AC-COMPLETE TRS: p(zero(),x) -> x p(zero(),p(x,y)) -> p(x,y) m(one(),x) -> x m(x,one()) -> x p(i(x),x) -> zero() p(i(x),p(x,y)) -> p(zero(),y) i(zero()) -> zero() i(i(x)) -> x m(m(x,y),z) -> m(x,m(y,z)) p(i(p(x,y)),p(y,z)) -> p(i(x),z) m(x,p(y,z)) -> p(m(x,y),m(x,z)) i(p(x,y)) -> p(i(x),i(y)) m(p(x,z),y) -> p(m(x,y),m(z,y)) p(m(x,zero()),p(m(x,y),z)) -> p(m(x,y),z) m(x,zero()) -> zero() m(x,i(y)) -> i(m(x,y)) p(m(zero(),x),p(m(y,x),z)) -> p(m(y,x),z) m(zero(),x) -> zero() p(m(i(x),y),p(m(x,y),z)) -> p(zero(),z) m(i(x),y) -> i(m(x,y)) STATISTICS General number of iterations: 40 number of nodes: 1128 number of processes: 8 time for orient: 221.16 time for rewrite: 15.86 time for deduce: 9.37 Selection strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?))) time for selection: 1.05 Termination Checks (external with callaprove) termination checks: 112 (yes: 47, timeouts: 63) time limit for check: 3.00 termination time: 215.87 Critical pair criterion (primality) redundant CPs in total: 1387 for successful process: 711 Indexing techniques: code tree (rewriting) discrimination tree (overlaps) variants: 0.81 encompassments: 3.48 overlaps: 0.00 maintenance: 0.01 Total time: 247.724914