# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))<=>p(s(t_bool,f))),file('i/f/numeral/numeral__eq_c2', ch4s_numerals_numeralu_u_equ_c2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/numeral/numeral__eq_c2', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__eq_c2', aHLu_FALSITY)).
fof(12, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))),file('i/f/numeral/numeral__eq_c2', ah4s_primu_u_recs_LESSu_u_0)).
fof(24, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/numeral/numeral__eq_c2', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(43, axiom,![X1]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/numeral/numeral__eq_c2', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(51, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/numeral/numeral__eq_c2', aHLu_BOOLu_CASES)).
fof(62, axiom,![X1]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))),file('i/f/numeral/numeral__eq_c2', ah4s_numerals_numeralu_u_sucu_c1)).
fof(68, axiom,![X1]:![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__eq_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(69, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X17),file('i/f/numeral/numeral__eq_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(70, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral/numeral__eq_c2', ah4s_arithmetics_BIT10)).
fof(72, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__eq_c2', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
