# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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,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__POS', ch4s_topologys_MR1u_u_ADDu_u_POS)).
fof(5, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/topology/MR1__ADD__POS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X1]:s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_bools_cond(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,X1))),s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X1))))),file('i/f/topology/MR1__ADD__POS', ah4s_reals_abs0)).
fof(7, axiom,![X1]:![X2]:s(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__POS', ah4s_topologys_MR1u_u_ADD)).
fof(10, axiom,![X3]:![X5]:![X6]:s(X3,h4s_bools_cond(s(t_bool,t),s(X3,X6),s(X3,X5)))=s(X3,X6),file('i/f/topology/MR1__ADD__POS', ah4s_bools_CONDu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
