# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_combins_o(s(t_fun(X2,t_bool),X4),s(t_fun(X1,X2),X5)))))=s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X5),s(X1,X3))),s(t_fun(X2,t_bool),X4))),file('i/f/util_prob/IN__o', ch4s_utilu_u_probs_INu_u_o)).
fof(8, axiom,![X2]:![X1]:![X10]:![X3]:![X9]:![X5]:s(X2,happ(s(t_fun(X10,X2),h4s_combins_o(s(t_fun(X1,X2),X5),s(t_fun(X10,X1),X9))),s(X10,X3)))=s(X2,happ(s(t_fun(X1,X2),X5),s(X1,happ(s(t_fun(X10,X1),X9),s(X10,X3))))),file('i/f/util_prob/IN__o', ah4s_combins_ou_u_THM)).
fof(9, axiom,![X1]:![X3]:![X11]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X11)))=s(t_bool,happ(s(t_fun(X1,t_bool),X11),s(X1,X3))),file('i/f/util_prob/IN__o', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
