% SZS status Satisfiable for ring_unit.trs 80.81 (total time) AC-COMPLETE TRS: p(zero(),x) -> x p(zero(),p(x,z)) -> p(x,z) m(one(),x) -> x m(x,one()) -> x p(i(x),x) -> zero() p(i(x),p(x,z)) -> p(zero(),z) i(zero()) -> zero() i(i(x)) -> x p(i(p(x,z)),z) -> i(x) p(i(p(x,z)),p(z,y)) -> p(i(x),y) i(p(i(z),x)) -> p(i(x),z) p(i(x),i(z)) -> i(p(x,z)) m(x,p(z,y)) -> p(m(x,z),m(x,y)) m(p(x,y),z) -> p(m(x,z),m(y,z)) p(m(x,zero()),p(m(x,z),y)) -> p(m(x,z),y) m(x,zero()) -> zero() p(m(zero(),x),p(m(z,x),y)) -> p(m(z,x),y) m(zero(),x) -> zero() p(m(x,i(z)),p(m(x,z),y)) -> p(zero(),y) m(x,i(z)) -> i(m(x,z)) p(m(i(x),z),p(m(x,z),y)) -> p(zero(),y) p(i(x),p(i(z),y)) -> p(i(p(x,z)),y) m(i(x),z) -> i(m(x,z)) STATISTICS General number of iterations: 24 number of nodes: 1103 number of processes: 3 time for orient: 50.67 time for rewrite: 17.92 time for deduce: 11.73 Selection strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?))) time for selection: 0.33 Termination Checks (external with callmuterm) termination checks: 50 (yes: 37, timeouts: 12) time limit for check: 3.00 termination time: 50.51 Critical pair criterion (primality) redundant CPs in total: 1710 for successful process: 965 Indexing techniques: code tree (rewriting) discrimination tree (overlaps) variants: 0.80 encompassments: 3.71 overlaps: 0.00 maintenance: 0.01 Total time: 80.836608