# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2))),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/REST__SUBSET', ch4s_predu_u_sets_RESTu_u_SUBSET)).
fof(8, axiom,![X1]:![X2]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/REST__SUBSET', ah4s_predu_u_sets_SUBSETu_u_REFL)).
fof(43, axiom,![X1]:![X4]:![X3]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X3),s(X1,X4))))))<=>(~(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2)))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/REST__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DELETE)).
fof(52, axiom,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X2),s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/REST__SUBSET', ah4s_predu_u_sets_RESTu_u_DEF)).
# SZS output end CNFRefutation
