# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_onto(s(t_fun(X2,X1),X3))))<=>![X4]:?[X5]:s(X1,X4)=s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X5)))),file('i/f/bool/ONTO__THM', ch4s_bools_ONTOu_u_THM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/ONTO__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/bool/ONTO__THM', aHLu_FALSITY)).
fof(4, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/bool/ONTO__THM', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X2]:![X5]:(p(s(t_bool,h4s_bools_onto(s(t_fun(X2,X1),X5))))<=>![X4]:?[X10]:s(X1,X4)=s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X10)))),file('i/f/bool/ONTO__THM', ah4s_bools_ONTOu_u_DEF)).
# SZS output end CNFRefutation
