# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))=>~(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2))))))),file('i/f/util_prob/DISJOINT__ALT', ch4s_utilu_u_probs_DISJOINTu_u_ALT)).
fof(33, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>~(?[X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2))))))),file('i/f/util_prob/DISJOINT__ALT', ah4s_predu_u_sets_INu_u_DISJOINT)).
fof(46, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))),file('i/f/util_prob/DISJOINT__ALT', ah4s_predu_u_sets_DISJOINTu_u_SYM)).
# SZS output end CNFRefutation
