# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X5)))=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)))=>(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X4))))|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3)))))),file('i/f/bag/BAG__INSERT__EQ__UNION', ch4s_bags_BAGu_u_INSERTu_u_EQu_u_UNION)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__INSERT__EQ__UNION', aHLu_TRUTH)).
fof(12, axiom,![X1]:![X14]:![X15]:![X5]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X15),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X14),s(t_fun(X1,t_h4s_nums_num),X5))))))<=>(s(X1,X15)=s(X1,X14)|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X15),s(t_fun(X1,t_h4s_nums_num),X5)))))),file('i/f/bag/BAG__INSERT__EQ__UNION', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
fof(13, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),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))))))<=>(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X4))))|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3)))))),file('i/f/bag/BAG__INSERT__EQ__UNION', ah4s_bags_BAGu_u_INu_u_BAGu_u_UNION)).
fof(15, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/bag/BAG__INSERT__EQ__UNION', aHLu_BOOLu_CASES)).
fof(16, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__INSERT__EQ__UNION', aHLu_FALSITY)).
# SZS output end CNFRefutation
