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__to__int_2E2_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit1_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit1_28tyop_2Eone_2Eone_29_29_29_29_29_20mono_2Etyop_2Efcp_2Ebit1_28tyop_2Efcp_2Ebit1_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint),c_2Ebinary__ieee_2Efloat__to__int_2E2(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X1_2E0))) = s(tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint))),c_2Ebinary__ieee_2Efloat__to__int_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X1_2E0))))).
fof(arityeq1_2Ec_2Emachine__ieee_2Efp64__to__float_2E1,axiom,![X0_2E0]: (s(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),c_2Emachine__ieee_2Efp64__to__float_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))) = s(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp64__to__float_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))))).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29_29_29_29,axiom,![X0_2E0]: (s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))))).
fof(arityeq1_2Ec_2Emachine__ieee_2Efloat__to__fp64_2E1,axiom,![X0_2E0]: (s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efloat__to__fp64_2E1(s(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),c_2Emachine__ieee_2Efloat__to__fp64_2E0),s(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X0_2E0))))).
fof(arityeq2_2Ec_2Emachine__ieee_2Efp64__to__int_2E2,axiom,![X0_2E0, X1_2E0]: (s(tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint),c_2Emachine__ieee_2Efp64__to__int_2E2(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))) = s(tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint))),c_2Emachine__ieee_2Efp64__to__int_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))))).
fof(machine__ieeeTheory_2Efp64__to__int,axiom,(![V0mode_2E0, V1a_2E0]: (s(tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint),c_2Emachine__ieee_2Efp64__to__int_2E2(s(tyop_2Ebinary__ieee_2Erounding,V0mode_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efloat__to__fp64_2E1(s(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V1a_2E0))))) = s(tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint),c_2Ebinary__ieee_2Efloat__to__int_2E2(s(tyop_2Ebinary__ieee_2Erounding,V0mode_2E0),s(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V1a_2E0)))) & ![V2mode_2E0, V3a_2E0]: (s(tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint),c_2Emachine__ieee_2Efp64__to__int_2E2(s(tyop_2Ebinary__ieee_2Erounding,V2mode_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3a_2E0))))) = s(tyop_2Eoption_2Eoption(tyop_2Einteger_2Eint),c_2Ebinary__ieee_2Efloat__to__int_2E2(s(tyop_2Ebinary__ieee_2Erounding,V2mode_2E0),s(tyop_2Ebinary__ieee_2Efloat(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),c_2Emachine__ieee_2Efp64__to__float_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3a_2E0)))))))))).
