# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3)))))),file('i/f/pred_set/SURJ__IMAGE', ch4s_predu_u_sets_SURJu_u_IMAGE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/SURJ__IMAGE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/pred_set/SURJ__IMAGE', aHLu_FALSITY)).
fof(6, axiom,![X2]:![X1]:![X6]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3),s(t_fun(X1,t_bool),X6))))<=>s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X4),s(t_fun(X2,t_bool),X3)))=s(t_fun(X1,t_bool),X6)),file('i/f/pred_set/SURJ__IMAGE', ah4s_predu_u_sets_IMAGEu_u_SURJ)).
fof(7, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/pred_set/SURJ__IMAGE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
