# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(4, axiom,![X2]:![X3]:![X4]:![X5]:(![X6]:s(X3,happ(s(t_fun(X2,X3),X4),s(X2,X6)))=s(X3,happ(s(t_fun(X2,X3),X5),s(X2,X6)))=>s(t_fun(X2,X3),X4)=s(t_fun(X2,X3),X5)),file('i/f/bag/COMM__BAG__UNION', aHLu_EXT)).
fof(9, axiom,![X9]:![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X10))),file('i/f/bag/COMM__BAG__UNION', ah4s_arithmetics_ADDu_u_COMM)).
fof(11, axiom,![X7]:![X12]:![X13]:![X6]:s(t_h4s_nums_num,happ(s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X13),s(t_fun(X7,t_h4s_nums_num),X12))),s(X7,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(X7,t_h4s_nums_num),X13),s(X7,X6))),s(t_h4s_nums_num,happ(s(t_fun(X7,t_h4s_nums_num),X12),s(X7,X6))))),file('i/f/bag/COMM__BAG__UNION', ah4s_bags_BAGu_u_UNION0)).
fof(12, conjecture,![X7]:![X14]:![X15]:s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X15),s(t_fun(X7,t_h4s_nums_num),X14)))=s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X14),s(t_fun(X7,t_h4s_nums_num),X15))),file('i/f/bag/COMM__BAG__UNION', ch4s_bags_COMMu_u_BAGu_u_UNION)).
# SZS output end CNFRefutation
