# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:p(s(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(2, axiom,p(s(t_bool,t)),file('i/f/path/okpath__thm_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/path/okpath__thm_c0', aHLu_FALSITY)).
fof(11, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/path/okpath__thm_c0', aHLu_BOOLu_CASES)).
fof(15, axiom,![X2]:![X1]:![X3]:![X4]:(p(s(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]:?[X11]:?[X12]:(s(t_h4s_paths_path(X2,X1),X3)=s(t_h4s_paths_path(X2,X1),h4s_paths_pcons(s(X2,X10),s(X1,X11),s(t_h4s_paths_path(X2,X1),X12)))&(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,X11))),s(X2,h4s_paths_first(s(t_h4s_paths_path(X2,X1),X12))))))&p(s(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),X12)))))))),file('i/f/path/okpath__thm_c0', ah4s_paths_okpathu_u_cases)).
# SZS output end CNFRefutation
