fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) & p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) | p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,![X0_2E0]: (~ (p(s(tyop_2Emin_2Ebool,X0_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))))).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,![X0_2E0, X1_2E0]: ((p(s(tyop_2Emin_2Ebool,X0_2E0)) => p(s(tyop_2Emin_2Ebool,X1_2E0))) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0, X1_2E0]: ((s(A_27a,X0_2E0) = s(A_27a,X1_2E0)) <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))))).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,![A_27a]: ![X0_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))))).
fof(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2Etyop_2Eind__type_2Erecspace_28tyop_2Epair_2Eprod_28tyop_2Ebinary__ieee_2Erounding_2Ctyop_2Epair_2Eprod_28tyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_2Ctyop_2Epair_2Eprod_28tyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_2Ctyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_29_29_29_29_20mono_2Etyop_2Ebinary__ieee_2Efp__op_28A_27t_2CA_27w_29,axiom,![A_27t, A_27w]: ![X0_2E0, X1_2E0]: (s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efp__op(A_27t,A_27w),tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efp__op(A_27t,A_27w),tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efp__op(A_27t,A_27w),tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0),s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efp__op(A_27t,A_27w),tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_20mono_2Etyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29,axiom,![A_27t, A_27w]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),c_2Epair_2E_2C_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0))),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_2Ctyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_29,axiom,![A_27t, A_27w]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Epair_2E_2C_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X0_2E0))),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),X1_2E0))))).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Ebinary__ieee_2Erounding_20mono_2Etyop_2Epair_2Eprod_28tyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_2Ctyop_2Epair_2Eprod_28tyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_2Ctyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_29_29,axiom,![A_27t, A_27w]: ![X0_2E0, X1_2E0]: (s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),c_2Epair_2E_2C_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),X1_2E0))))).
fof(arityeq3_2Ec_2Eind__type_2ECONSTR_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Ebinary__ieee_2Erounding_2Ctyop_2Epair_2Eprod_28tyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_2Ctyop_2Epair_2Eprod_28tyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_2Ctyop_2Ebinary__ieee_2Efloat_28A_27t_2CA_27w_29_29_29_29,axiom,![A_27t, A_27w]: ![X0_2E0, X1_2E0, X2_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2ECONSTR_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),X1_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),X2_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))))),c_2Eind__type_2ECONSTR_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),X1_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),X2_2E0))))).
fof(arityeq1_2Ec_2Enum_2ESUC_2E1,axiom,![X0_2E0]: (s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Enum_2ESUC_2E0),s(tyop_2Enum_2Enum,X0_2E0))))).
fof(binary__ieeeTheory_2Efp__op__TY__DEF,axiom,![A_27t, A_27w]: ![F7_2E0, F6_2E0, F5_2E0, F4_2E0, F3_2E0, F2_2E0, F1_2E0, F0_2E0]: (![V32n_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F7_2E0),s(tyop_2Enum_2Enum,V32n_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2EBOTTOM_2E0)) => (![V27n_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F6_2E0),s(tyop_2Enum_2Enum,V27n_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2EBOTTOM_2E0)) => (![V22n_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F5_2E0),s(tyop_2Enum_2Enum,V22n_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2EBOTTOM_2E0)) => (![V18n_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F4_2E0),s(tyop_2Enum_2Enum,V18n_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2EBOTTOM_2E0)) => (![V14n_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F3_2E0),s(tyop_2Enum_2Enum,V14n_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2EBOTTOM_2E0)) => (![V10n_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F2_2E0),s(tyop_2Enum_2Enum,V10n_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2EBOTTOM_2E0)) => (![V6n_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F1_2E0),s(tyop_2Enum_2Enum,V6n_2E0))) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2EBOTTOM_2E0)) => (![V1a0_27_2E0]: (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V1a0_27_2E0)))) <=> ![V2_27fp__op_27_2E0]: (![V3a0_27_2E0]: ((?[V4a0_2E0, V5a1_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V3a0_27_2E0) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2ECONSTR_2E3(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Erounding,V4a0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V5a1_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebool_2EARB_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebool_2EARB_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F1_2E0)))) | (?[V7a0_2E0, V8a1_2E0, V9a2_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V3a0_27_2E0) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2ECONSTR_2E3(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Erounding,V7a0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V8a1_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V9a2_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebool_2EARB_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F2_2E0)))) | (?[V11a0_2E0, V12a1_2E0, V13a2_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V3a0_27_2E0) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2ECONSTR_2E3(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Erounding,V11a0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V12a1_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V13a2_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebool_2EARB_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F3_2E0)))) | (?[V15a0_2E0, V16a1_2E0, V17a2_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V3a0_27_2E0) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2ECONSTR_2E3(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Erounding,V15a0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V16a1_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V17a2_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebool_2EARB_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F4_2E0)))) | (?[V19a0_2E0, V20a1_2E0, V21a2_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V3a0_27_2E0) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2ECONSTR_2E3(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))))),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Erounding,V19a0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V20a1_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V21a2_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebool_2EARB_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F5_2E0)))) | (?[V23a0_2E0, V24a1_2E0, V25a2_2E0, V26a3_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V3a0_27_2E0) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2ECONSTR_2E3(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))))))),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Erounding,V23a0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V24a1_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V25a2_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V26a3_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F6_2E0)))) | ?[V28a0_2E0, V29a1_2E0, V30a2_2E0, V31a3_2E0]: (s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V3a0_27_2E0) = s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),c_2Eind__type_2ECONSTR_2E3(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))))))))),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Erounding,V28a0_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V29a1_2E0),s(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)),c_2Epair_2E_2C_2E2(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V30a2_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V31a3_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),F7_2E0)))))))))) => p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),tyop_2Emin_2Ebool),V2_27fp__op_27_2E0),s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V3a0_27_2E0))))) => p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),tyop_2Emin_2Ebool),V2_27fp__op_27_2E0),s(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),V1a0_27_2E0)))))) => ?[V0rep_2E0]: p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))))),tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efp__op(A_27t,A_27w),tyop_2Eind__type_2Erecspace(tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Erounding,tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Epair_2Eprod(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w)))))),V0rep_2E0))))))))))))).
