# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2)))))),file('i/f/bag/SUB__BAG__UNION__MONO_c0', ch4s_bags_SUBu_u_BAGu_u_UNIONu_u_MONOu_c0)).
fof(16, axiom,![X8]:![X9]:(s(t_bool,X9)=s(t_bool,X8)<=>((p(s(t_bool,X9))=>p(s(t_bool,X8)))&(p(s(t_bool,X8))=>p(s(t_bool,X9))))),file('i/f/bag/SUB__BAG__UNION__MONO_c0', ah4s_bools_EQu_u_IMPu_u_THM)).
fof(21, axiom,![X1]:![X16]:![X17]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X17),s(t_fun(X1,t_h4s_nums_num),X16))))=>![X18]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X17),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X16),s(t_fun(X1,t_h4s_nums_num),X18))))))),file('i/f/bag/SUB__BAG__UNION__MONO_c0', ah4s_bags_SUBu_u_BAGu_u_UNIONu_c0)).
fof(26, axiom,![X1]:![X16]:![X17]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X17),s(t_fun(X1,t_h4s_nums_num),X16))))=>![X18]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X17),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X18),s(t_fun(X1,t_h4s_nums_num),X16))))))),file('i/f/bag/SUB__BAG__UNION__MONO_c0', ah4s_bags_SUBu_u_BAGu_u_UNIONu_c1)).
fof(35, axiom,![X1]:![X16]:![X17]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X17),s(t_fun(X1,t_h4s_nums_num),X16))))<=>?[X18]:s(t_fun(X1,t_h4s_nums_num),X16)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X17),s(t_fun(X1,t_h4s_nums_num),X18)))),file('i/f/bag/SUB__BAG__UNION__MONO_c0', ah4s_bags_SUBu_u_BAGu_u_EXISTS)).
# SZS output end CNFRefutation
