# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_bags_subu_u_bag(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),X2),s(t_fun(X1,t_h4s_nums_num),X3))))))=>(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X6),s(t_fun(X1,t_h4s_nums_num),X4))))=>p(s(t_bool,h4s_bags_subu_u_bag(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),X6))),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),X4),s(t_fun(X1,t_h4s_nums_num),X3)))))))))),file('i/f/bag/SUB__BAG__UNION_c15', ch4s_bags_SUBu_u_BAGu_u_UNIONu_c15)).
fof(22, axiom,![X1]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X6),s(t_fun(X1,t_h4s_nums_num),X4))))=>(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X5),s(t_fun(X1,t_h4s_nums_num),X3))))=>p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X6),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)))))))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_bags_SUBu_u_BAGu_u_UNIONu_c6)).
fof(35, axiom,![X10]:![X11]:((p(s(t_bool,X11))=>p(s(t_bool,X10)))=>((p(s(t_bool,X10))=>p(s(t_bool,X11)))=>s(t_bool,X11)=s(t_bool,X10))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(38, axiom,![X18]:![X19]:(s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,X18)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19)))))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(42, axiom,![X1]:![X5]:![X6]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X6),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),X5),s(t_fun(X1,t_h4s_nums_num),X6))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_bags_COMMu_u_BAGu_u_UNION)).
fof(43, axiom,![X1]:![X4]:![X5]:![X6]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X6),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),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),X6),s(t_fun(X1,t_h4s_nums_num),X5))),s(t_fun(X1,t_h4s_nums_num),X4))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_bags_ASSOCu_u_BAGu_u_UNION)).
fof(68, axiom,![X18]:![X19]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X19))))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_arithmetics_NOTu_u_LEQ)).
fof(70, axiom,![X18]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_numerals_numeralu_u_distribu_c27)).
fof(71, axiom,![X18]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(72, axiom,![X18]:![X19]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(73, axiom,![X18]:![X19]:(~(s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,X18))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X18))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X19)))))),file('i/f/bag/SUB__BAG__UNION_c15', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
# SZS output end CNFRefutation
