# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_diff(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))),s(t_fun(X1,t_h4s_nums_num),X2)))=s(t_fun(X1,t_h4s_nums_num),X3),file('i/f/bag/BAG__UNION__DIFF__eliminate_c1', ch4s_bags_BAGu_u_UNIONu_u_DIFFu_u_eliminateu_c1)).
fof(3, axiom,![X4]:![X5]:![X6]:![X7]:(![X8]:s(X5,happ(s(t_fun(X4,X5),X6),s(X4,X8)))=s(X5,happ(s(t_fun(X4,X5),X7),s(X4,X8)))=>s(t_fun(X4,X5),X6)=s(t_fun(X4,X5),X7)),file('i/f/bag/BAG__UNION__DIFF__eliminate_c1', aHLu_EXT)).
fof(8, axiom,![X11]:![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X12))),file('i/f/bag/BAG__UNION__DIFF__eliminate_c1', ah4s_arithmetics_ADDu_u_SYM)).
fof(9, axiom,![X1]:![X2]:![X3]:![X8]:s(t_h4s_nums_num,happ(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(X1,X8)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X3),s(X1,X8))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X2),s(X1,X8))))),file('i/f/bag/BAG__UNION__DIFF__eliminate_c1', ah4s_bags_BAGu_u_UNION0)).
fof(10, axiom,![X1]:![X13]:![X14]:![X8]:s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_diff(s(t_fun(X1,t_h4s_nums_num),X14),s(t_fun(X1,t_h4s_nums_num),X13))),s(X1,X8)))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X14),s(X1,X8))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X13),s(X1,X8))))),file('i/f/bag/BAG__UNION__DIFF__eliminate_c1', ah4s_bags_BAGu_u_DIFF0)).
fof(11, axiom,![X2]:![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X15),file('i/f/bag/BAG__UNION__DIFF__eliminate_c1', ah4s_arithmetics_ADDu_u_SUB)).
# SZS output end CNFRefutation
