# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(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,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/INSERT__applied', ch4s_predu_u_sets_INSERTu_u_applied)).
fof(4, 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/INSERT__applied', ah4s_predu_u_sets_INu_u_INSERT)).
fof(7, axiom,![X1]:![X3]:![X10]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X10)))=s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X3))),file('i/f/pred_set/INSERT__applied', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
