# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_fun(X2,t_bool),h4s_predu_u_sets_image(s(t_fun(X1,X2),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/IMAGE__EMPTY', ch4s_predu_u_sets_IMAGEu_u_EMPTY)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/IMAGE__EMPTY', aHLu_FALSITY)).
fof(12, axiom,![X4]:(s(t_bool,f0)=s(t_bool,X4)<=>~(p(s(t_bool,X4)))),file('i/f/pred_set/IMAGE__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(13, axiom,![X1]:![X7]:~(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/IMAGE__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(15, axiom,![X1]:![X4]:![X11]:(s(t_fun(X1,t_bool),X11)=s(t_fun(X1,t_bool),X4)<=>![X7]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X11)))=s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X4)))),file('i/f/pred_set/IMAGE__EMPTY', ah4s_predu_u_sets_EXTENSION)).
fof(16, axiom,![X2]:![X1]:![X12]:![X11]:![X3]:(p(s(t_bool,h4s_bools_in(s(X2,X12),s(t_fun(X2,t_bool),h4s_predu_u_sets_image(s(t_fun(X1,X2),X3),s(t_fun(X1,t_bool),X11))))))<=>?[X7]:(s(X2,X12)=s(X2,happ(s(t_fun(X1,X2),X3),s(X1,X7)))&p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X11)))))),file('i/f/pred_set/IMAGE__EMPTY', ah4s_predu_u_sets_INu_u_IMAGE)).
# SZS output end CNFRefutation
