# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),s(X1,X3),s(X1,X2))))<=>?[X6]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(t_h4s_nums_num,X4),s(X1,X3),s(X1,X6))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X6))),s(X1,X2)))))),file('i/f/arithmetic/NRC__SUC__RECURSE__LEFT', ch4s_arithmetics_NRCu_u_SUCu_u_RECURSEu_u_LEFT)).
fof(20, 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,X22),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/arithmetic/NRC__SUC__RECURSE__LEFT', ah4s_arithmetics_ADD1)).
fof(21, axiom,![X1]:![X6]:![X3]:![X4]:![X22]:![X5]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,X4))),s(X1,X3),s(X1,X6))))<=>?[X2]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(t_h4s_nums_num,X22),s(X1,X3),s(X1,X2))))&p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(t_h4s_nums_num,X4),s(X1,X2),s(X1,X6)))))),file('i/f/arithmetic/NRC__SUC__RECURSE__LEFT', ah4s_arithmetics_NRCu_u_ADDu_u_EQN)).
fof(22, axiom,![X1]:![X2]:![X3]:![X5]:s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X5),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(X1,X3),s(X1,X2)))=s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X5),s(X1,X3))),s(X1,X2))),file('i/f/arithmetic/NRC__SUC__RECURSE__LEFT', ah4s_arithmetics_NRCu_u_1)).
# SZS output end CNFRefutation
