# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:p(s(t_bool,happ(s(t_fun(t_h4s_paths_path(X2,X1),t_bool),h4s_paths_okpath(s(t_fun(X2,t_fun(X1,t_fun(X2,t_bool))),X4))),s(t_h4s_paths_path(X2,X1),h4s_paths_stoppedu_u_at(s(X2,X3)))))),file('i/f/path/okpath__thm_c0', ch4s_paths_okpathu_u_thmu_c0)).
fof(31, axiom,![X2]:![X1]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_paths_path(X2,X1),t_bool),h4s_paths_okpath(s(t_fun(X2,t_fun(X1,t_fun(X2,t_bool))),X4))),s(t_h4s_paths_path(X2,X1),X3))))<=>(?[X10]:s(t_h4s_paths_path(X2,X1),X3)=s(t_h4s_paths_path(X2,X1),h4s_paths_stoppedu_u_at(s(X2,X10)))|?[X10]:?[X12]:?[X14]:(s(t_h4s_paths_path(X2,X1),X3)=s(t_h4s_paths_path(X2,X1),h4s_paths_pcons(s(X2,X10),s(X1,X12),s(t_h4s_paths_path(X2,X1),X14)))&(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),happ(s(t_fun(X2,t_fun(X1,t_fun(X2,t_bool))),X4),s(X2,X10))),s(X1,X12))),s(X2,h4s_paths_first(s(t_h4s_paths_path(X2,X1),X14))))))&p(s(t_bool,happ(s(t_fun(t_h4s_paths_path(X2,X1),t_bool),h4s_paths_okpath(s(t_fun(X2,t_fun(X1,t_fun(X2,t_bool))),X4))),s(t_h4s_paths_path(X2,X1),X14)))))))),file('i/f/path/okpath__thm_c0', ah4s_paths_okpathu_u_cases)).
# SZS output end CNFRefutation
