# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X4),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))))))=>![X5]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X5),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_c3', ch4s_bags_SUBu_u_BAGu_u_UNIONu_c3)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/SUB__BAG__UNION_c3', aHLu_FALSITY)).
fof(8, axiom,![X6]:((p(s(t_bool,X6))=>p(s(t_bool,f)))<=>s(t_bool,X6)=s(t_bool,f)),file('i/f/bag/SUB__BAG__UNION_c3', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(16, axiom,![X19]:![X20]:![X13]:((p(s(t_bool,X13))<=>s(t_bool,X20)=s(t_bool,X19))<=>((p(s(t_bool,X13))|(p(s(t_bool,X20))|p(s(t_bool,X19))))&((p(s(t_bool,X13))|(~(p(s(t_bool,X19)))|~(p(s(t_bool,X20)))))&((p(s(t_bool,X20))|(~(p(s(t_bool,X19)))|~(p(s(t_bool,X13)))))&(p(s(t_bool,X19))|(~(p(s(t_bool,X20)))|~(p(s(t_bool,X13))))))))),file('i/f/bag/SUB__BAG__UNION_c3', ah4s_sats_dcu_u_eq)).
fof(37, axiom,![X1]:![X2]:![X3]:![X4]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X4),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)))))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X4),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_c3', ah4s_bags_ASSOCu_u_BAGu_u_UNION)).
fof(39, axiom,![X1]:![X3]:![X4]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X4),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),X4))),file('i/f/bag/SUB__BAG__UNION_c3', ah4s_bags_COMMu_u_BAGu_u_UNION)).
fof(44, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X3))))=>![X5]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X5),s(t_fun(X1,t_h4s_nums_num),X3))))))),file('i/f/bag/SUB__BAG__UNION_c3', ah4s_bags_SUBu_u_BAGu_u_UNIONu_c1)).
fof(74, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/bag/SUB__BAG__UNION_c3', aHLu_BOOLu_CASES)).
fof(76, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/bag/SUB__BAG__UNION_c3', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
