# 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_disjoint(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),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_disjoint(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X3)))))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c1', ch4s_bags_BAGu_u_DISJOINTu_u_BAGu_u_INSERTu_c1)).
fof(3, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(32, axiom,![X5]:![X3]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_disjoint(s(t_fun(X5,t_h4s_nums_num),X4),s(t_fun(X5,t_h4s_nums_num),X3))))<=>![X24]:(~(p(s(t_bool,h4s_bags_bagu_u_in(s(X5,X24),s(t_fun(X5,t_h4s_nums_num),X4)))))|~(p(s(t_bool,h4s_bags_bagu_u_in(s(X5,X24),s(t_fun(X5,t_h4s_nums_num),X3))))))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c1', ah4s_bags_BAGu_u_DISJOINTu_u_BAGu_u_IN)).
fof(33, axiom,![X5]:![X25]:![X3]:![X4]:(p(s(t_bool,h4s_bags_bagu_u_disjoint(s(t_fun(X5,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X5,X25),s(t_fun(X5,t_h4s_nums_num),X4))),s(t_fun(X5,t_h4s_nums_num),X3))))<=>(~(p(s(t_bool,h4s_bags_bagu_u_in(s(X5,X25),s(t_fun(X5,t_h4s_nums_num),X3)))))&p(s(t_bool,h4s_bags_bagu_u_disjoint(s(t_fun(X5,t_h4s_nums_num),X4),s(t_fun(X5,t_h4s_nums_num),X3)))))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c1', ah4s_bags_BAGu_u_DISJOINTu_u_BAGu_u_INSERTu_c0)).
fof(35, axiom,![X5]:![X2]:![X25]:![X28]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X5,X25),s(t_fun(X5,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X5,X2),s(t_fun(X5,t_h4s_nums_num),X28))))))<=>(s(X5,X25)=s(X5,X2)|p(s(t_bool,h4s_bags_bagu_u_in(s(X5,X25),s(t_fun(X5,t_h4s_nums_num),X28)))))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c1', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
fof(38, axiom,![X5]:![X24]:![X28]:![X7]:?[X29]:((p(s(t_bool,X29))<=>s(X5,X7)=s(X5,X24))&s(t_h4s_nums_num,happ(s(t_fun(X5,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X5,X24),s(t_fun(X5,t_h4s_nums_num),X28))),s(X5,X7)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,X29),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(X5,t_h4s_nums_num),X28),s(X5,X24))),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,happ(s(t_fun(X5,t_h4s_nums_num),X28),s(X5,X7)))))),file('i/f/bag/BAG__DISJOINT__BAG__INSERT_c1', ah4s_bags_BAGu_u_INSERT0)).
# SZS output end CNFRefutation
