# 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_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__SUBSET', ch4s_predu_u_sets_IMAGEu_u_SUBSET)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/IMAGE__SUBSET', aHLu_TRUTH)).
fof(6, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)<=>p(s(t_bool,X3))),file('i/f/pred_set/IMAGE__SUBSET', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![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))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X4))))=>p(s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X3)))))),file('i/f/pred_set/IMAGE__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(8, axiom,![X1]:![X2]:![X7]:![X4]:![X5]:(p(s(t_bool,h4s_bools_in(s(X1,X7),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,X7)=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__SUBSET', ah4s_predu_u_sets_INu_u_IMAGE)).
# SZS output end CNFRefutation
