# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X1))))=>![X2]:![X3]:s(t_h4s_nums_num,h4s_bags_bagu_u_genu_u_sum(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X1))),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_bags_bagu_u_genu_u_sum(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X1),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X3)))))),file('i/f/bag/BAG__GEN__SUM__TAILREC', ch4s_bags_BAGu_u_GENu_u_SUMu_u_TAILREC)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__GEN__SUM__TAILREC', aHLu_TRUTH)).
fof(6, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/bag/BAG__GEN__SUM__TAILREC', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X10]:![X11]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X11))),file('i/f/bag/BAG__GEN__SUM__TAILREC', ah4s_arithmetics_ADDu_u_COMM)).
fof(8, axiom,![X12]:![X10]:![X11]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X12)))))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X10))))),s(t_h4s_nums_num,X12))),file('i/f/bag/BAG__GEN__SUM__TAILREC', ah4s_arithmetics_ADDu_u_ASSOC)).
fof(10, axiom,![X10]:![X13]:s(t_h4s_nums_num,h4s_bags_bagu_u_genu_u_sum(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X13),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_bags_itbag(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2b),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X13),s(t_h4s_nums_num,X10))),file('i/f/bag/BAG__GEN__SUM__TAILREC', ah4s_bags_BAGu_u_GENu_u_SUMu_u_def)).
fof(11, axiom,![X8]:![X14]:![X6]:![X1]:((![X2]:![X15]:![X16]:s(X14,happ(s(t_fun(X14,X14),happ(s(t_fun(X8,t_fun(X14,X14)),X6),s(X8,X2))),s(X14,happ(s(t_fun(X14,X14),happ(s(t_fun(X8,t_fun(X14,X14)),X6),s(X8,X15))),s(X14,X16)))))=s(X14,happ(s(t_fun(X14,X14),happ(s(t_fun(X8,t_fun(X14,X14)),X6),s(X8,X15))),s(X14,happ(s(t_fun(X14,X14),happ(s(t_fun(X8,t_fun(X14,X14)),X6),s(X8,X2))),s(X14,X16)))))&p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X8,t_h4s_nums_num),X1)))))=>![X2]:![X3]:s(X14,h4s_bags_itbag(s(t_fun(X8,t_fun(X14,X14)),X6),s(t_fun(X8,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X8,X2),s(t_fun(X8,t_h4s_nums_num),X1))),s(X14,X3)))=s(X14,h4s_bags_itbag(s(t_fun(X8,t_fun(X14,X14)),X6),s(t_fun(X8,t_h4s_nums_num),X1),s(X14,happ(s(t_fun(X14,X14),happ(s(t_fun(X8,t_fun(X14,X14)),X6),s(X8,X2))),s(X14,X3)))))),file('i/f/bag/BAG__GEN__SUM__TAILREC', ah4s_bags_COMMUTINGu_u_ITBAGu_u_INSERT)).
# SZS output end CNFRefutation
