# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X5),s(t_fun(X2,t_bool),X4))),s(X1,X3))))<=>?[X6]:(s(X1,X3)=s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X6)))&p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X4)))))),file('i/f/pred_set/IMAGE__applied', ch4s_predu_u_sets_IMAGEu_u_applied)).
fof(36, axiom,![X2]:![X6]:![X22]:s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X22)))=s(t_bool,happ(s(t_fun(X2,t_bool),X22),s(X2,X6))),file('i/f/pred_set/IMAGE__applied', ah4s_bools_INu_u_DEF)).
fof(41, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X5),s(t_fun(X2,t_bool),X4))))))<=>?[X6]:(s(X1,X3)=s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X6)))&p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X4)))))),file('i/f/pred_set/IMAGE__applied', ah4s_predu_u_sets_INu_u_IMAGE)).
# SZS output end CNFRefutation
