# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X4),s(X1,X2))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))&~(s(X1,X3)=s(X1,X2)))),file('i/f/pred_set/IN__DELETE', ch4s_predu_u_sets_INu_u_DELETE)).
fof(18, axiom,![X1]:![X3]:![X13]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X13)))=s(t_bool,happ(s(t_fun(X1,t_bool),X13),s(X1,X3))),file('i/f/pred_set/IN__DELETE', ah4s_bools_INu_u_DEF)).
fof(23, axiom,![X1]:![X3]:![X4]:s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X4),s(X1,X3)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/IN__DELETE', ah4s_predu_u_sets_DELETEu_u_DEF)).
fof(27, axiom,![X1]:![X3]:![X7]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X7))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))&~(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X7))))))),file('i/f/pred_set/IN__DELETE', ah4s_predu_u_sets_INu_u_DIFF)).
fof(31, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X4))))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/IN__DELETE', ah4s_predu_u_sets_INu_u_INSERT)).
fof(37, axiom,![X1]:![X3]:~(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/IN__DELETE', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(41, axiom,![X1]:![X3]:s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(X1,X3)))=s(t_bool,f),file('i/f/pred_set/IN__DELETE', ah4s_predu_u_sets_EMPTYu_u_DEF)).
# SZS output end CNFRefutation
