# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((p(s(t_bool,h4s_bools_in(s(t_fun(X1,X2),X6),s(t_fun(t_fun(X1,X2),t_bool),h4s_utilu_u_probs_funset(s(t_fun(X1,t_bool),X5),s(t_fun(X2,t_bool),X4))))))&p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X5)))))=>p(s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X6),s(X1,X3))),s(t_fun(X2,t_bool),X4))))),file('i/f/util_prob/FUNSET__THM', ch4s_utilu_u_probs_FUNSETu_u_THM)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/util_prob/FUNSET__THM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/util_prob/FUNSET__THM', aHLu_FALSITY)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t0)<=>p(s(t_bool,X4))),file('i/f/util_prob/FUNSET__THM', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, axiom,![X1]:![X2]:![X6]:![X13]:![X14]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,X2),X6),s(t_fun(t_fun(X1,X2),t_bool),h4s_utilu_u_probs_funset(s(t_fun(X1,t_bool),X14),s(t_fun(X2,t_bool),X13))))))<=>![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X14))))=>p(s(t_bool,h4s_bools_in(s(X2,happ(s(t_fun(X1,X2),X6),s(X1,X3))),s(t_fun(X2,t_bool),X13)))))),file('i/f/util_prob/FUNSET__THM', ah4s_utilu_u_probs_INu_u_FUNSET)).
fof(12, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t0)|s(t_bool,X4)=s(t_bool,f0)),file('i/f/util_prob/FUNSET__THM', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
