# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:~(s(t_h4s_paths_path(X1,X2),h4s_paths_stoppedu_u_at(s(X1,X3)))=s(t_h4s_paths_path(X1,X2),h4s_paths_pgenerate(s(t_fun(t_h4s_nums_num,X1),X5),s(t_fun(t_h4s_nums_num,X2),X4)))),file('i/f/path/pgenerate__not__stopped', ch4s_paths_pgenerateu_u_notu_u_stopped)).
fof(39, axiom,![X1]:![X2]:![X4]:![X5]:s(t_h4s_paths_path(X1,X2),h4s_paths_pgenerate(s(t_fun(t_h4s_nums_num,X1),X5),s(t_fun(t_h4s_nums_num,X2),X4)))=s(t_h4s_paths_path(X1,X2),h4s_paths_pcons(s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X5),s(t_h4s_nums_num,h4s_nums_0))),s(X2,happ(s(t_fun(t_h4s_nums_num,X2),X4),s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_paths_path(X1,X2),h4s_paths_pgenerate(s(t_fun(t_h4s_nums_num,X1),h4s_combins_o(s(t_fun(t_h4s_nums_num,X1),X5),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc))),s(t_fun(t_h4s_nums_num,X2),h4s_combins_o(s(t_fun(t_h4s_nums_num,X2),X4),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc))))))),file('i/f/path/pgenerate__not__stopped', ah4s_paths_pgenerateu_u_def)).
fof(55, axiom,![X1]:![X2]:![X10]:![X3]:![X12]:![X14]:~(s(t_h4s_paths_path(X1,X2),h4s_paths_stoppedu_u_at(s(X1,X3)))=s(t_h4s_paths_path(X1,X2),h4s_paths_pcons(s(X1,X10),s(X2,X12),s(t_h4s_paths_path(X1,X2),X14)))),file('i/f/path/pgenerate__not__stopped', ah4s_paths_stoppedu_u_atu_u_notu_u_pconsu_c0)).
# SZS output end CNFRefutation
