# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_relations_total(s(t_fun(X2,t_fun(X2,t_bool)),X4))))=>p(s(t_bool,h4s_relations_total(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_invu_u_image(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(t_fun(X1,X2),X3))))))),file('i/f/relation/total__inv__image', ch4s_relations_totalu_u_invu_u_image)).
fof(6, axiom,![X2]:![X4]:(p(s(t_bool,h4s_relations_total(s(t_fun(X2,t_fun(X2,t_bool)),X4))))<=>![X6]:![X11]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(X2,X6))),s(X2,X11))))|p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(X2,X11))),s(X2,X6)))))),file('i/f/relation/total__inv__image', ah4s_relations_totalu_u_def)).
fof(7, axiom,![X1]:![X2]:![X11]:![X6]:![X3]:![X4]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),h4s_relations_invu_u_image(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(X2,X1),X3))),s(X2,X6))),s(X2,X11)))=s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X6))))),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X11))))),file('i/f/relation/total__inv__image', ah4s_relations_invu_u_imageu_u_thm)).
# SZS output end CNFRefutation
