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_2Ebinary__ieee_2Efloat__Exponent__fupd_2E2_2Emono_2EA_27t_20mono_2EA_27w_20mono_2EA_27x,axiom,![A_27t, A_27w, A_27x]: ![X0_2E0, X1_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),c_2Ebinary__ieee_2Efloat__Exponent__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),X0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X1_2E0))) = s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x))),c_2Ebinary__ieee_2Efloat__Exponent__fupd_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),X0_2E0))),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X1_2E0))))).
fof(arityeq2_2Ec_2Ebinary__ieee_2Efloat__Sign__fupd_2E2_2Emono_2EA_27t_20mono_2EA_27w,axiom,![A_27t, A_27w]: ![X0_2E0, X1_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),X0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X1_2E0))) = s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),app_2E2(s(tyop_2Emin_2Efun(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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w))),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),X0_2E0))),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X1_2E0))))).
fof(arityeq2_2Ec_2Ebinary__ieee_2Efloat__Exponent__fupd_2E2_2Emono_2EA_27u_20mono_2EA_27w_20mono_2EA_27x,axiom,![A_27u, A_27w, A_27x]: ![X0_2E0, X1_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x),c_2Ebinary__ieee_2Efloat__Exponent__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),X0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),X1_2E0))) = s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x))),c_2Ebinary__ieee_2Efloat__Exponent__fupd_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),X0_2E0))),s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),X1_2E0))))).
fof(arityeq2_2Ec_2Ebinary__ieee_2Efloat__Significand__fupd_2E2_2Emono_2EA_27t_20mono_2EA_27u_20mono_2EA_27w,axiom,![A_27t, A_27u, A_27w]: ![X0_2E0, X1_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),c_2Ebinary__ieee_2Efloat__Significand__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),X0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X1_2E0))) = s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w))),c_2Ebinary__ieee_2Efloat__Significand__fupd_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),X0_2E0))),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),X1_2E0))))).
fof(arityeq2_2Ec_2Ebinary__ieee_2Efloat__Sign__fupd_2E2_2Emono_2EA_27t_20mono_2EA_27x,axiom,![A_27t, A_27x]: ![X0_2E0, X1_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),X0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),X1_2E0))) = s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x))),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),X0_2E0))),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),X1_2E0))))).
fof(arityeq2_2Ec_2Ebinary__ieee_2Efloat__Sign__fupd_2E2_2Emono_2EA_27u_20mono_2EA_27w,axiom,![A_27u, A_27w]: ![X0_2E0, X1_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),X0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),X1_2E0))) = s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w))),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),X0_2E0))),s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),X1_2E0))))).
fof(arityeq2_2Ec_2Ebinary__ieee_2Efloat__Significand__fupd_2E2_2Emono_2EA_27t_20mono_2EA_27u_20mono_2EA_27x,axiom,![A_27t, A_27u, A_27x]: ![X0_2E0, X1_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x),c_2Ebinary__ieee_2Efloat__Significand__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),X0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),X1_2E0))) = s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x))),c_2Ebinary__ieee_2Efloat__Significand__fupd_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),X0_2E0))),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),X1_2E0))))).
fof(binary__ieeeTheory_2Efloat__fupdcanon,axiom,![A_27t, A_27u, A_27w, A_27x]: (![V0g_2E0, V1f0_2E0, V2f_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),c_2Ebinary__ieee_2Efloat__Exponent__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),V1f0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),V0g_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V2f_2E0))))) = s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),V0g_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),c_2Ebinary__ieee_2Efloat__Exponent__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),V1f0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V2f_2E0)))))) & (![V3g_2E0, V4f0_2E0, V5f_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),c_2Ebinary__ieee_2Efloat__Significand__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),V4f0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),V3g_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V5f_2E0))))) = s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),c_2Ebinary__ieee_2Efloat__Sign__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),V3g_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),c_2Ebinary__ieee_2Efloat__Significand__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),V4f0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V5f_2E0)))))) & ![V6g_2E0, V7f0_2E0, V8f_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x),c_2Ebinary__ieee_2Efloat__Significand__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),V7f0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27x),c_2Ebinary__ieee_2Efloat__Exponent__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),V6g_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V8f_2E0))))) = s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27x),c_2Ebinary__ieee_2Efloat__Exponent__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27w),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27x)),V6g_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27u,A_27w),c_2Ebinary__ieee_2Efloat__Significand__fupd_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27u)),V7f0_2E0),s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),V8f_2E0))))))))).
