# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:((p(s(t_bool,happ(s(t_fun(t_bool,t_bool),X1),s(t_bool,t))))&p(s(t_bool,happ(s(t_fun(t_bool,t_bool),X1),s(t_bool,f)))))=>![X2]:p(s(t_bool,happ(s(t_fun(t_bool,t_bool),X1),s(t_bool,X2))))),file('i/f/bool/bool__INDUCT', ch4s_bools_boolu_u_INDUCT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bool/bool__INDUCT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bool/bool__INDUCT', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/bool/bool__INDUCT', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
