# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_fun(t_h4s_nums_num,t_bool),h4s_paths_pl(s(t_h4s_paths_path(X1,X2),h4s_paths_pcons(s(X1,X3),s(X2,X4),s(t_h4s_paths_path(X1,X2),X5)))))=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_insert(s(t_h4s_nums_num,h4s_nums_0),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_image(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_fun(t_h4s_nums_num,t_bool),h4s_paths_pl(s(t_h4s_paths_path(X1,X2),X5))))))),file('i/f/path/PL__thm_c1', ch4s_paths_PLu_u_thmu_c1)).
fof(5, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_fun(t_h4s_nums_num,t_bool),h4s_paths_pl(s(t_h4s_paths_path(X1,X2),h4s_paths_pcons(s(X1,X3),s(X2,X4),s(t_h4s_paths_path(X1,X2),X5)))))=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_insert(s(t_h4s_nums_num,h4s_nums_0),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_image(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_fun(t_h4s_nums_num,t_bool),h4s_paths_pl(s(t_h4s_paths_path(X1,X2),X5))))))),file('i/f/path/PL__thm_c1', ah4s_paths_PLu_u_pcons)).
# SZS output end CNFRefutation
