# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/numeral__mod2_c0', ch4s_numeralu_u_bits_numeralu_u_mod2u_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/numeral_bit/numeral__mod2_c0', aHLu_TRUTH)).
fof(6, axiom,![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))=>(s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X3)<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))))),file('i/f/numeral_bit/numeral__mod2_c0', ah4s_arithmetics_Xu_u_MODu_u_Yu_u_EQu_u_X)).
fof(7, axiom,![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X4))),file('i/f/numeral_bit/numeral__mod2_c0', ah4s_numerals_numeralu_u_distribu_c21)).
fof(8, axiom,![X4]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X4)))))=s(t_bool,t),file('i/f/numeral_bit/numeral__mod2_c0', ah4s_numerals_numeralu_u_ltu_c1)).
# SZS output end CNFRefutation
