# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:?[X7]:((p(s(t_bool,X7))<=>s(X2,X6)=s(X2,X4))&s(X1,h4s_combins_update(s(X2,X6),s(X1,X5),s(t_fun(X2,X1),X3),s(X2,X4)))=s(X1,h4s_bools_cond(s(t_bool,X7),s(X1,X5),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X4)))))),file('i/f/combin/APPLY__UPDATE__THM', ch4s_combins_APPLYu_u_UPDATEu_u_THM)).
fof(9, axiom,![X1]:![X2]:![X5]:![X6]:![X12]:![X13]:?[X7]:((p(s(t_bool,X7))<=>s(X2,X6)=s(X2,X13))&s(X1,h4s_combins_update(s(X2,X6),s(X1,X5),s(t_fun(X2,X1),X12),s(X2,X13)))=s(X1,h4s_bools_cond(s(t_bool,X7),s(X1,X5),s(X1,happ(s(t_fun(X2,X1),X12),s(X2,X13)))))),file('i/f/combin/APPLY__UPDATE__THM', ah4s_combins_UPDATEu_u_def)).
# SZS output end CNFRefutation
