# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X4)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X4)))=>![X3]:![X5]:((![X6]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X6),s(t_fun(t_fun(X1,t_bool),t_bool),X5))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X3)))))&~(s(t_fun(t_fun(X1,t_bool),t_bool),X5)=s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_empty)))=>s(t_fun(X1,t_bool),h4s_predu_u_sets_biginter(s(t_fun(t_fun(X1,t_bool),t_bool),X5)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3))),s(t_fun(t_fun(X1,t_bool),t_bool),X5))))))))),file('i/f/util_prob/DIFF__BIGINTER', ch4s_utilu_u_probs_DIFFu_u_BIGINTER)).
fof(4, axiom,![X1]:![X6]:![X5]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X5))))=>s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_bool),X6)))))=s(t_fun(X1,t_bool),X6)),file('i/f/util_prob/DIFF__BIGINTER', ah4s_utilu_u_probs_DIFFu_u_DIFFu_u_SUBSET)).
fof(5, axiom,![X1]:![X2]:(![X3]:![X4]:s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X4)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X4)))=>![X3]:![X5]:s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_biginter(s(t_fun(t_fun(X1,t_bool),t_bool),X5)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_bigunion(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3))),s(t_fun(t_fun(X1,t_bool),t_bool),X5)))))),file('i/f/util_prob/DIFF__BIGINTER', ah4s_utilu_u_probs_DIFFu_u_BIGINTER1)).
fof(21, axiom,![X1]:![X3]:![X5]:((![X6]:(p(s(t_bool,h4s_bools_in(s(t_fun(X1,t_bool),X6),s(t_fun(t_fun(X1,t_bool),t_bool),X5))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X3)))))&~(s(t_fun(t_fun(X1,t_bool),t_bool),X5)=s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_empty)))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_biginter(s(t_fun(t_fun(X1,t_bool),t_bool),X5))),s(t_fun(X1,t_bool),X3))))),file('i/f/util_prob/DIFF__BIGINTER', ah4s_utilu_u_probs_BIGINTERu_u_SUBSET)).
# SZS output end CNFRefutation
