kill % SZS status Success for example13.trs 19.06 (total time) S-CONVERGENT TRS: g1(zero()) -> zero() g2(zero()) -> zero() phi(zero(),x) -> x phi(x,phi(y1,y2)) -> phi(p_AC(x,y1),y2) phi(g2(x),zero()) -> g2(x) phi(g1(x),zero()) -> g1(x) g1(p_AC(y(),x)) -> p_AC(g1(y()),g1(x)) g2(p_AC(y(),x)) -> p_AC(g2(y()),g2(x)) phi(y1,g2(x)) -> phi(p_AC(g2(x),y1),zero()) phi(y1,g1(x)) -> phi(p_AC(g1(x),y1),zero()) p_AC(g1(y()),g1(i(y()))) -> zero() i(g1(y())) -> g1(i(y())) i(g1(i(y()))) -> g1(y()) p_AC(g2(y()),g2(i(y()))) -> zero() i(g2(y())) -> g2(i(y())) i(g2(i(y()))) -> g2(y()) kill % SZS status Success for example13.trs 19.10 (total time) S-CONVERGENT TRS: g1(zero()) -> zero() g2(zero()) -> zero() phi(zero(),x) -> x phi(x,phi(y1,y2)) -> phi(p_AC(x,y1),y2) phi(g2(x),zero()) -> g2(x) phi(g1(x),zero()) -> g1(x) g1(p_AC(y(),x)) -> p_AC(g1(y()),g1(x)) g2(p_AC(y(),x)) -> p_AC(g2(y()),g2(x)) phi(y1,g2(x)) -> phi(p_AC(g2(x),y1),zero()) phi(y1,g1(x)) -> phi(p_AC(g1(x),y1),zero()) p_AC(g1(y()),g1(i(y()))) -> zero() i(g1(y())) -> g1(i(y())) i(g1(i(y()))) -> g1(y()) p_AC(g2(y()),g2(i(y()))) -> zero() i(g2(y())) -> g2(i(y())) i(g2(i(y()))) -> g2(y()) Total time: 19.116740