# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X2))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),t_h4s_realaxs_real),h4s_topologys_dist(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1))),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2)))))))=s(t_h4s_realaxs_real,X2)),file('i/f/topology/MR1__ADD__LT', ch4s_topologys_MR1u_u_ADDu_u_LT)).
fof(27, axiom,![X8]:![X1]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8))),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,X8),file('i/f/topology/MR1__ADD__LT', ah4s_reals_REALu_u_ADDu_u_SUB)).
fof(43, axiom,![X8]:![X1]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8))))<=>(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8))))|s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X8))),file('i/f/topology/MR1__ADD__LT', ah4s_reals_REALu_u_LEu_u_LT)).
fof(58, axiom,![X1]:![X2]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),t_h4s_realaxs_real),h4s_topologys_dist(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1))),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2)))))))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X2))),file('i/f/topology/MR1__ADD__LT', ah4s_topologys_MR1u_u_ADD)).
fof(59, axiom,![X8]:![X1]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),t_h4s_realaxs_real),h4s_topologys_dist(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1))),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X8)))))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X1))))),file('i/f/topology/MR1__ADD__LT', ah4s_topologys_MR1u_u_DEF)).
fof(60, axiom,![X1]:![X2]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X2))))=>s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),t_h4s_realaxs_real),h4s_topologys_dist(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1))),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X2)))))))=s(t_h4s_realaxs_real,X2)),file('i/f/topology/MR1__ADD__LT', ah4s_topologys_MR1u_u_ADDu_u_POS)).
# SZS output end CNFRefutation
