# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2),s(t_fun(X1,t_h4s_nums_num),X2)))),file('i/f/bag/SUB__BAG__REFL', ch4s_bags_SUBu_u_BAGu_u_REFL)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/SUB__BAG__REFL', aHLu_FALSITY)).
fof(5, axiom,![X3]:((p(s(t_bool,X3))=>p(s(t_bool,f)))<=>s(t_bool,X3)=s(t_bool,f)),file('i/f/bag/SUB__BAG__REFL', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(43, axiom,![X6]:![X7]:(s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,X6)<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X7)))))),file('i/f/bag/SUB__BAG__REFL', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(46, axiom,![X1]:![X21]:![X22]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X22),s(t_fun(X1,t_h4s_nums_num),X21))))<=>![X4]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X22),s(X1,X4))),s(t_h4s_nums_num,happ(s(t_fun(X1,t_h4s_nums_num),X21),s(X1,X4))))))),file('i/f/bag/SUB__BAG__REFL', ah4s_bags_SUBu_u_BAGu_u_LEQ)).
fof(58, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/bag/SUB__BAG__REFL', aHLu_BOOLu_CASES)).
fof(59, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/bag/SUB__BAG__REFL', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
