# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_logroots_root(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_arithmetics_numeral(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_pairs_fst(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_logroots_sqrtd(s(t_h4s_nums_num,X1))))),file('i/f/logroot/numeral__root2', ch4s_logroots_numeralu_u_root2)).
fof(7, axiom,![X5]:![X3]:![X6]:![X4]:s(X3,h4s_pairs_fst(s(t_h4s_pairs_prod(X3,X5),h4s_pairs_u_2c(s(X3,X4),s(X5,X6)))))=s(X3,X4),file('i/f/logroot/numeral__root2', ah4s_pairs_FST0)).
fof(8, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/logroot/numeral__root2', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(9, axiom,![X1]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_logroots_sqrtd(s(t_h4s_nums_num,X1)))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_logroots_root(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,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_logroots_root(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,X1))),s(t_h4s_nums_num,h4s_logroots_root(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,X1))))))))),file('i/f/logroot/numeral__root2', ah4s_logroots_SQRTdu_u_def)).
# SZS output end CNFRefutation
