# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))<=>(p(s(t_bool,h4s_bags_psubu_u_bag(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)=s(t_fun(X1,t_h4s_nums_num),X2))),file('i/f/bag/SUB__BAG__PSUB__BAG', ch4s_bags_SUBu_u_BAGu_u_PSUBu_u_BAG)).
fof(30, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))<=>![X5]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X3),s(X1,X5))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X2),s(X1,X5))))))),file('i/f/bag/SUB__BAG__PSUB__BAG', ah4s_bags_SUBu_u_BAGu_u_LEQ)).
fof(51, axiom,![X30]:![X31]:(s(t_h4s_nums_num,X31)=s(t_h4s_nums_num,X30)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X31),s(t_h4s_nums_num,X30))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X30),s(t_h4s_nums_num,X31)))))),file('i/f/bag/SUB__BAG__PSUB__BAG', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(52, axiom,~(p(s(t_bool,f))),file('i/f/bag/SUB__BAG__PSUB__BAG', aHLu_FALSITY)).
fof(63, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/bag/SUB__BAG__PSUB__BAG', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(65, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_psubu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))<=>(p(s(t_bool,h4s_bags_subu_u_bag(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)=s(t_fun(X1,t_h4s_nums_num),X2)))),file('i/f/bag/SUB__BAG__PSUB__BAG', ah4s_bags_PSUBu_u_BAG0)).
# SZS output end CNFRefutation
