% SZS status Satisfiable for abelian_groups_homomorphism.trs
82.67 (total time)

AC-COMPLETE TRS: 
g(one()) -> one()
f(one(),x) -> x
f(one(),f(x,x1)) -> f(x,x1)
f(i(x),x) -> one()
f(i(x),f(x,x1)) -> f(one(),x1)
i(one()) -> one()
i(i(x)) -> x
g(f(y(),x)) -> f(g(y()),g(x))
f(i(f(x,x1)),f(x1,x2)) -> f(i(x),x2)
i(f(x,x1)) -> f(i(x),i(x1))
f(g(y()),f(g(i(y())),x)) -> f(one(),x)
g(i(y())) -> i(g(y()))
f(g(y()),f(g(f(i(y()),x)),x1)) -> f(g(x),x1)
g(f(i(y()),x)) -> f(i(g(y())),g(x))


STATISTICS 
General
 number of iterations:    17 
 number of nodes:         502 
 number of processes:     7 
 time for orient:         70.12
 time for rewrite:        5.23
 time for deduce:         7.11

Selection
 strategy: (el(min(e(sum(smax)) + c(sum(smax)))), (data(smax), ( -el(#), ?)))
 time for selection:      0.15

Termination Checks (external with callaprove)
 termination checks:      51 (yes: 32, timeouts: 17)
 time limit for check:    3.00
 termination time:        69.99

Critical pair criterion (primality) 
 redundant CPs in total:  1295
 for successful process:  474

Indexing
 techniques: code tree (rewriting) discrimination tree (overlaps)
 variants:                0.34
 encompassments:          1.81
 overlaps:                0.00
 maintenance:             0.01
Total time: 82.686620