# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))=s(t_bool,t),file('i/f/numeral/numeral__lt_c0', ch4s_numerals_numeralu_u_ltu_c0)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/numeral/numeral__lt_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(42, axiom,![X21]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,X21)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X21))))),file('i/f/numeral/numeral__lt_c0', ah4s_arithmetics_LESSu_u_0u_u_CASES)).
fof(44, 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__lt_c0', ah4s_arithmetics_BIT10)).
fof(52, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__lt_c0', ah4s_arithmetics_ALTu_u_ZERO)).
fof(53, axiom,![X1]:(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/numeral/numeral__lt_c0', ah4s_numerals_numeralu_u_equ_c1)).
fof(56, axiom,~(p(s(t_bool,f))),file('i/f/numeral/numeral__lt_c0', aHLu_FALSITY)).
# SZS output end CNFRefutation
