# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))))&p(s(t_bool,h4s_realaxs_realu_u_lt(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,X3),s(t_h4s_realaxs_real,X2))))),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3)))))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))),file('i/f/topology/MR1__BETWEEN1', ch4s_topologys_MR1u_u_BETWEEN1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/topology/MR1__BETWEEN1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/topology/MR1__BETWEEN1', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))))),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X3)))))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))),file('i/f/topology/MR1__BETWEEN1', ah4s_reals_ABSu_u_BETWEEN1)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/topology/MR1__BETWEEN1', aHLu_BOOLu_CASES)).
fof(8, axiom,![X2]:![X3]: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,X3),s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))))),file('i/f/topology/MR1__BETWEEN1', ah4s_topologys_MR1u_u_DEF)).
# SZS output end CNFRefutation
