Left Termination of the query pattern h_in_1(g) w.r.t. the given Prolog program could not be shown:

(0) Obligation:

Clauses:

h(X) :- ','(f(X), g(X)).
f(c(0, X1)).
f(c(X, Y)) :- ','(no(zero(X)), ','(p(X, P), f(c(P, s(Y))))).
g(c(X2, 0)).
g(c(X, Y)) :- ','(no(zero(Y)), ','(p(Y, P), g(c(s(X), P)))).
p(0, 0).
p(s(X), X).
zero(0).
no(X) :- ','(X, ','(!, failure(a))).
no(X3).
failure(b).

Queries:

h(g).

(1) CutEliminatorProof (SOUND transformation)

Eliminated all cuts by simply ignoring them[PROLOG].

(2) Obligation:

Clauses:

h(X) :- ','(f(X), g(X)).
f(c(0, X1)).
f(c(X, Y)) :- ','(no(zero(X)), ','(p(X, P), f(c(P, s(Y))))).
g(c(X2, 0)).
g(c(X, Y)) :- ','(no(zero(Y)), ','(p(Y, P), g(c(s(X), P)))).
p(0, 0).
p(s(X), X).
zero(0).
no(X) :- ','(X, failure(a)).
no(X3).
failure(b).

Queries:

h(g).