# 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),X2),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),X2),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_c5', ch4s_bags_SUBu_u_BAGu_u_UNIONu_c5)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/SUB__BAG__UNION_c5', 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_c5', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(38, 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_c5', ah4s_bags_ASSOCu_u_BAGu_u_UNION)).
fof(46, axiom,![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),X3),s(t_fun(X1,t_h4s_nums_num),X5))),s(t_fun(X1,t_h4s_nums_num),X2))))))),file('i/f/bag/SUB__BAG__UNION_c5', ah4s_bags_SUBu_u_BAGu_u_UNIONu_c2)).
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_c5', aHLu_BOOLu_CASES)).
fof(76, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/bag/SUB__BAG__UNION_c5', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
