# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_topologys_ismet(s(t_fun(t_h4s_pairs_prod(X1,X1),t_h4s_realaxs_real),h4s_topologys_dist(s(t_h4s_topologys_metric(X1),X2)))))),file('i/f/topology/METRIC__ISMET', ch4s_topologys_METRICu_u_ISMET)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/topology/METRIC__ISMET', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/topology/METRIC__ISMET', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X4]:(p(s(t_bool,h4s_topologys_ismet(s(t_fun(t_h4s_pairs_prod(X1,X1),t_h4s_realaxs_real),X4))))<=>s(t_fun(t_h4s_pairs_prod(X1,X1),t_h4s_realaxs_real),h4s_topologys_dist(s(t_h4s_topologys_metric(X1),h4s_topologys_metric0(s(t_fun(t_h4s_pairs_prod(X1,X1),t_h4s_realaxs_real),X4)))))=s(t_fun(t_h4s_pairs_prod(X1,X1),t_h4s_realaxs_real),X4)),file('i/f/topology/METRIC__ISMET', ah4s_topologys_metricu_u_tybiju_c1)).
fof(7, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/topology/METRIC__ISMET', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:![X6]:s(t_h4s_topologys_metric(X1),h4s_topologys_metric0(s(t_fun(t_h4s_pairs_prod(X1,X1),t_h4s_realaxs_real),h4s_topologys_dist(s(t_h4s_topologys_metric(X1),X6)))))=s(t_h4s_topologys_metric(X1),X6),file('i/f/topology/METRIC__ISMET', ah4s_topologys_metricu_u_tybiju_c0)).
# SZS output end CNFRefutation
