# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(p(s(t_bool,h4s_bools_in(s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),X2))),s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/CHOICE__NOT__IN__REST', ch4s_predu_u_sets_CHOICEu_u_NOTu_u_INu_u_REST)).
fof(10, axiom,![X1]:![X5]:![X4]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X2),s(X1,X5))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X2))))&~(s(X1,X4)=s(X1,X5)))),file('i/f/pred_set/CHOICE__NOT__IN__REST', ah4s_predu_u_sets_INu_u_DELETE)).
fof(12, 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/CHOICE__NOT__IN__REST', ah4s_predu_u_sets_RESTu_u_DEF)).
# SZS output end CNFRefutation
