# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_merge(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X3))))))<=>(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X4))))|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3)))))),file('i/f/bag/BAG__IN__BAG__MERGE', ch4s_bags_BAGu_u_INu_u_BAGu_u_MERGE)).
fof(29, axiom,![X1]:![X2]:![X19]:s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X19)))=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),X19))),file('i/f/bag/BAG__IN__BAG__MERGE', ah4s_bags_BAGu_u_IN0)).
fof(32, axiom,![X1]:![X22]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X2),s(t_h4s_nums_num,X22),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_merge(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X3))))))<=>(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X2),s(t_h4s_nums_num,X22),s(t_fun(X1,t_h4s_nums_num),X4))))|p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X2),s(t_h4s_nums_num,X22),s(t_fun(X1,t_h4s_nums_num),X3)))))),file('i/f/bag/BAG__IN__BAG__MERGE', ah4s_bags_BAGu_u_INNu_u_BAGu_u_MERGE)).
fof(57, axiom,![X22]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X22),file('i/f/bag/BAG__IN__BAG__MERGE', ah4s_numerals_numeralu_u_distribu_c1)).
fof(92, axiom,![X22]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X22)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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_h4s_nums_num,X22))),file('i/f/bag/BAG__IN__BAG__MERGE', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
# SZS output end CNFRefutation
