# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3))))=>?[X4]:p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X3),s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X4))))),file('i/f/bag/BAG__IN__BAG__DELETE', ch4s_bags_BAGu_u_INu_u_BAGu_u_DELETE)).
fof(16, axiom,![X1]:![X12]:![X2]:![X3]:((p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X2),s(t_h4s_nums_num,X12),s(t_fun(X1,t_h4s_nums_num),X3))))&p(s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_nums_0)))))=>?[X4]:p(s(t_bool,h4s_bags_bagu_u_delete(s(t_fun(X1,t_h4s_nums_num),X3),s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X4))))),file('i/f/bag/BAG__IN__BAG__DELETE', ah4s_bags_BAGu_u_INNu_u_BAGu_u_DELETE)).
fof(17, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3)))=s(t_bool,h4s_bags_bagu_u_inn(s(X1,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_fun(X1,t_h4s_nums_num),X3))),file('i/f/bag/BAG__IN__BAG__DELETE', ah4s_bags_BAGu_u_IN0)).
fof(18, axiom,![X12]:![X13]:(~(p(s(t_bool,h4s_arithmetics_u_3e(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))),file('i/f/bag/BAG__IN__BAG__DELETE', ah4s_arithmetics_NOTu_u_GREATER)).
fof(19, axiom,![X12]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/bag/BAG__IN__BAG__DELETE', ah4s_numerals_numeralu_u_distribu_c27)).
fof(20, axiom,![X12]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/bag/BAG__IN__BAG__DELETE', ah4s_numerals_numeralu_u_lteu_c1)).
fof(21, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__IN__BAG__DELETE', aHLu_FALSITY)).
fof(23, axiom,![X7]:((p(s(t_bool,X7))=>p(s(t_bool,f)))<=>s(t_bool,X7)=s(t_bool,f)),file('i/f/bag/BAG__IN__BAG__DELETE', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
# SZS output end CNFRefutation
