# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X2,X3),s(t_fun(X2,t_bool),X4))))=>![X5]:p(s(t_bool,h4s_bools_in(s(X1,happ(s(t_fun(X2,X1),X5),s(X2,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))))))),file('i/f/pred_set/IMAGE__IN', ch4s_predu_u_sets_IMAGEu_u_IN)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/IMAGE__IN', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/IMAGE__IN', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X2]:![X6]:![X4]:![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X5),s(t_fun(X2,t_bool),X4))))))<=>?[X3]:(s(X1,X6)=s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X3)))&p(s(t_bool,h4s_bools_in(s(X2,X3),s(t_fun(X2,t_bool),X4)))))),file('i/f/pred_set/IMAGE__IN', ah4s_predu_u_sets_INu_u_IMAGE)).
fof(5, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/pred_set/IMAGE__IN', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
