# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X5),s(t_fun(X2,t_bool),h4s_predu_u_sets_inter(s(t_fun(X2,t_bool),X4),s(t_fun(X2,t_bool),X3))))),s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(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(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X5),s(t_fun(X2,t_bool),X3)))))))),file('i/f/pred_set/IMAGE__INTER', ch4s_predu_u_sets_IMAGEu_u_INTER)).
fof(29, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),X4),s(t_fun(X2,t_bool),X3))))=>![X5]:p(s(t_bool,h4s_predu_u_sets_subset(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(t_fun(X1,t_bool),h4s_predu_u_sets_image(s(t_fun(X2,X1),X5),s(t_fun(X2,t_bool),X3))))))),file('i/f/pred_set/IMAGE__INTER', ah4s_predu_u_sets_IMAGEu_u_SUBSET)).
fof(30, axiom,![X2]:![X3]:![X4]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),h4s_predu_u_sets_inter(s(t_fun(X2,t_bool),X3),s(t_fun(X2,t_bool),X4))),s(t_fun(X2,t_bool),X4)))),file('i/f/pred_set/IMAGE__INTER', ah4s_predu_u_sets_INTERu_u_SUBSETu_c1)).
fof(32, axiom,![X2]:![X3]:![X4]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),h4s_predu_u_sets_inter(s(t_fun(X2,t_bool),X4),s(t_fun(X2,t_bool),X3))),s(t_fun(X2,t_bool),X4)))),file('i/f/pred_set/IMAGE__INTER', ah4s_predu_u_sets_INTERu_u_SUBSETu_c0)).
fof(33, axiom,![X2]:![X19]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),X4),s(t_fun(X2,t_bool),h4s_predu_u_sets_inter(s(t_fun(X2,t_bool),X3),s(t_fun(X2,t_bool),X19))))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),X4),s(t_fun(X2,t_bool),X3))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),X4),s(t_fun(X2,t_bool),X19)))))),file('i/f/pred_set/IMAGE__INTER', ah4s_predu_u_sets_SUBSETu_u_INTER)).
# SZS output end CNFRefutation
