YES U101ttAB_xor__and_AB_xor_ABU11ttAAU111ttfalseU121ttAAU131ttBU'U132equal_isNotEqualTo_BtruetrueU'U132ttU'U'U141ttUUU151ttA_xor_AtrueU21ttABC_xor__and_AB_and_ACU31ttfalseU41ttAAU51ttABnot__xor_A_and_ABU61ttU'UU62equal_isNotEqualTo_UU'trueU62ttfalseU71tttrueU81ttU'Uif_then_else_fi_isEqualTo_UU'falsetrueU91ttfalse_and_AAU11isBoolAA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and_falseAU31isBoolA_and_trueAU41isBoolAA_implies_ABU51andisBoolAisBoolBAB_isEqualTo_UU'U61andisSU'isSUU'U_isEqualTo_UUU71isSU_isNotEqualTo_UU'U81andisSU'isSUU'U_isNotEqualTo_UUU91isSU_or_ABU101andisBoolAisBoolBAB_xor_AAU111isBoolA_xor_falseAU121isBoolAAandttXXequalXXttif_then_else_fiBUU'U131andisBoolBandisSU'isSUBU'if_then_else_fitrueUU'U141andisSU'isSUUisBoolfalsettisBooltruettisBool_and_V1V2andisBoolV1isBoolV2isBool_implies_V1V2andisBoolV1isBoolV2isBool_isEqualTo_V1V2andisUniversalV1isUniversalV2isBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2isBool_or_V1V2andisBoolV1isBoolV2isBool_xor_V1V2andisBoolV1isBoolV2isBoolnot_V1isBoolV1not_AU151isBoolAAnot_falsetruenot_truefalse_and__or__xor__and__or__xor_2.1_and_xy_and_yx_or_xy_or_yx_xor_xy_xor_yx_and__and_xyz_and_x_and_yz_or__or_xyz_or_x_or_yz_xor__xor_xyz_xor_x_xor_yz_and_xy_and_yx_or_xy_or_yx_xor_xy_xor_yx_and__and_xyz_and_x_and_yz_or__or_xyz_or_x_or_yz_xor__xor_xyz_xor_x_xor_yz_and__and_xyz_and_yz_or__or_xyz_or_yz_xor__xor_xyz_xor_yzU101ttAB_xor__and_AB_xor_ABU101ttAB_and_ABU101ttAB_xor_ABU131ttBU'U132equal_isNotEqualTo_BtruetrueU'U131ttBU'equal_isNotEqualTo_BtruetrueU131ttBU'_isNotEqualTo_BtrueU151ttA_xor_AtrueU21ttABC_xor__and_AB_and_ACU21ttABC_and_ABU21ttABC_and_ACU51ttABnot__xor_A_and_ABU51ttAB_xor_A_and_ABU51ttAB_and_ABU61ttU'UU62equal_isNotEqualTo_UU'trueU61ttU'Uequal_isNotEqualTo_UU'trueU61ttU'U_isNotEqualTo_UU'U81ttU'Uif_then_else_fi_isEqualTo_UU'falsetrueU81ttU'U_isEqualTo_UU'_and_AAU11isBoolAA_and_AAisBoolA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and_A_xor_BCandisBoolAandisBoolBisBoolC_and_A_xor_BCisBoolA_and_A_xor_BCandisBoolBisBoolC_and_A_xor_BCisBoolB_and_A_xor_BCisBoolC_and_falseAU31isBoolA_and_falseAisBoolA_and_trueAU41isBoolAA_and_trueAisBoolA_implies_ABU51andisBoolAisBoolBAB_implies_ABandisBoolAisBoolB_implies_ABisBoolA_implies_ABisBoolB_isEqualTo_UU'U61andisSU'isSUU'U_isEqualTo_UU'andisSU'isSU_isEqualTo_UUU71isSU_isNotEqualTo_UU'U81andisSU'isSUU'U_isNotEqualTo_UU'andisSU'isSU_isNotEqualTo_UUU91isSU_or_ABU101andisBoolAisBoolBAB_or_ABandisBoolAisBoolB_or_ABisBoolA_or_ABisBoolB_xor_AAU111isBoolA_xor_AAisBoolA_xor_falseAU121isBoolAA_xor_falseAisBoolAif_then_else_fiBUU'U131andisBoolBandisSU'isSUBU'if_then_else_fiBUU'andisBoolBandisSU'isSUif_then_else_fiBUU'isBoolBif_then_else_fiBUU'andisSU'isSUif_then_else_fitrueUU'U141andisSU'isSUUif_then_else_fitrueUU'andisSU'isSUisBool_and_V1V2andisBoolV1isBoolV2isBool_and_V1V2isBoolV1isBool_and_V1V2isBoolV2isBool_implies_V1V2andisBoolV1isBoolV2isBool_implies_V1V2isBoolV1isBool_implies_V1V2isBoolV2isBool_isEqualTo_V1V2andisUniversalV1isUniversalV2isBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2isBool_or_V1V2andisBoolV1isBoolV2isBool_or_V1V2isBoolV1isBool_or_V1V2isBoolV2isBool_xor_V1V2andisBoolV1isBoolV2isBool_xor_V1V2isBoolV1isBool_xor_V1V2isBoolV2isBoolnot_V1isBoolV1not_AU151isBoolAAnot_AisBoolA_and__and_AAext_and_U11isBoolAAext_and__and_AAextU11isBoolAA_and__and_AAextisBoolA_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_A_xor_BCextU21andisBoolAandisBoolBisBoolCABC_and__and_A_xor_BCextandisBoolAandisBoolBisBoolC_and__and_A_xor_BCextisBoolA_and__and_A_xor_BCextandisBoolBisBoolC_and__and_A_xor_BCextisBoolB_and__and_A_xor_BCextisBoolC_and__and_falseAext_and_U31isBoolAext_and__and_falseAextU31isBoolA_and__and_falseAextisBoolA_and__and_trueAext_and_U41isBoolAAext_and__and_trueAextU41isBoolAA_and__and_trueAextisBoolA_or__or_ABext_or_U101andisBoolAisBoolBABext_or__or_ABextU101andisBoolAisBoolBAB_or__or_ABextandisBoolAisBoolB_or__or_ABextisBoolA_or__or_ABextisBoolB_xor__xor_AAext_xor_U111isBoolAext_xor__xor_AAextU111isBoolA_xor__xor_AAextisBoolA_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_falseAextU121isBoolAA_xor__xor_falseAextisBoolA_and__and_AAext_and_U11isBoolAAext_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_falseAext_and_U31isBoolAext_and__and_trueAext_and_U41isBoolAAext_or__or_ABext_or_U101andisBoolAisBoolBABext_xor__xor_AAext_xor_U111isBoolAext_xor__xor_falseAext_xor_U121isBoolAAext_or__or_xyz_or_yz_or__or_ABext_or_U101andisBoolAisBoolBABext_or_xy_or_yx_or__or_xyz_or_x_or_yztrue2_or_22221212_or_223231312U101322322223and20isBool10U1212112tt00U11222U41212_xor_211211_and_21211212true00false00not_10_isEqualTo_20isUniversal10_implies_20_isNotEqualTo_20U11110U2141141332224223U3110_or__or_xyz_or_yzU121ttAAU11ttAAU41ttAAU101ttAB_xor__and_AB_xor_ABU111ttfalseU21ttABC_xor__and_AB_and_ACU31ttfalse_and_falseAU31isBoolA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and__and_trueAext_and_U41isBoolAAext_and__and_AAext_and_U11isBoolAAext_and_AAU11isBoolAA_and_trueAU41isBoolAA_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_falseAext_and_U31isBoolAext_or_ABU101andisBoolAisBoolBAB_or__or_ABext_or_U101andisBoolAisBoolBABext_xor_falseAU121isBoolAA_xor_AAU111isBoolA_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_AAext_xor_U111isBoolAext_and__and_xyz_and_x_and_yz_and_xy_and_yx_or_xy_or_yx_or__or_xyz_or_x_or_yz_xor_xy_xor_yx_xor__xor_xyz_xor_x_xor_yz2_or_22221212_or_223231312U10131232211123212and212isBool111_xor_211211false01U121212U11111tt01U2141141322124123_and_21211112U11212U412122U31111true01not_111_isEqualTo_211isUniversal10_implies_21211_isNotEqualTo_222221112_or__or_ABext_or_U101andisBoolAisBoolBABext_xor_falseAU121isBoolAA_xor_AAU111isBoolA_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_AAext_xor_U111isBoolAextandttXXU21ttABC_xor__and_AB_and_ACU111ttfalseU121ttAAU11ttAAU41ttAAU31ttfalseisBooltruettisBoolfalsettisBool_xor_V1V2andisBoolV1isBoolV2isBoolnot_V1isBoolV1isBool_isEqualTo_V1V2andisUniversalV1isUniversalV2isBool_implies_V1V2andisBoolV1isBoolV2isBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2isBool_or_V1V2andisBoolV1isBoolV2isBool_and_V1V2andisBoolV1isBoolV2_and_falseAU31isBoolA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and__and_trueAext_and_U41isBoolAAext_and__and_AAext_and_U11isBoolAAext_and_AAU11isBoolAA_and_trueAU41isBoolAA_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_falseAext_and_U31isBoolAextU101ttAB_xor__and_AB_xor_AB_or_ABU101andisBoolAisBoolBAB_or__or_ABext_or_U101andisBoolAisBoolBABext_xor_xy_xor_yx_xor__xor_xyz_xor_x_xor_yz_and__and_xyz_and_x_and_yz_and_xy_and_yx_or_xy_or_yx_or__or_xyz_or_x_or_yz_or_ABU101andisBoolAisBoolBABfalse_or__or_ABextU101andisBoolAisBoolBABfalseU101ttAB_xor__and_AB_xor_ABfalseU101ttAB_and_ABfalseU101ttAB_xor_ABfalseU81ttU'Uif_then_else_fi_isEqualTo_UU'falsetruefalseif_then_else_fiBUU'U131andisBoolBandisSU'isSUBU'falseU131ttBU'U132equal_isNotEqualTo_BtruetrueU'falseU131ttBU'equal_isNotEqualTo_BtruetruefalseU131ttBU'_isNotEqualTo_Btruefalse_implies_ABU51andisBoolAisBoolBABfalseU51ttABnot__xor_A_and_ABfalsenot_AU151isBoolAAfalseU151ttA_xor_AtruefalseU51ttAB_and_ABfalseU21ttABC_and_AB_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABCU21ttABC_and_AC_and__and_AAext_and_U11isBoolAAext_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_A_xor_BCextU21andisBoolAandisBoolBisBoolCABC_and__and_falseAext_and_U31isBoolAext_and__and_trueAext_and_U41isBoolAAext_and__and_xyz_and_yz_and_xy_and_yx_and__and_xyz_and_x_and_yztrue2_and_21211112_and_21211112U11212isBool11_xor_211211U2141211124114123113112and2112U214141312124123tt01false00U3110true01U41212U11110U121212not_1111111_isEqualTo_2112isUniversal10_implies_21211112_isNotEqualTo_2112_or_21211112_and__and_trueAext_and_U41isBoolAAext_and__and_A_xor_BCextU21andisBoolAandisBoolBisBoolCABC_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABCandttXXU31ttfalseU111ttfalse_xor_falseAU121isBoolAA_xor_AAU111isBoolA_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_AAext_xor_U111isBoolAextU121ttAAU41ttAAU11ttAA_and_falseAU31isBoolA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and__and_trueAext_and_U41isBoolAAext_and__and_AAext_and_U11isBoolAAext_and_AAU11isBoolAA_and_trueAU41isBoolAA_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_falseAext_and_U31isBoolAextisBooltruettisBoolfalsettisBool_xor_V1V2andisBoolV1isBoolV2isBoolnot_V1isBoolV1isBool_isEqualTo_V1V2andisUniversalV1isUniversalV2isBool_implies_V1V2andisBoolV1isBoolV2isBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2isBool_or_V1V2andisBoolV1isBoolV2isBool_and_V1V2andisBoolV1isBoolV2U21ttABC_xor__and_AB_and_AC_xor_xy_xor_yx_xor__xor_xyz_xor_x_xor_yz_and__and_xyz_and_x_and_yz_and_xy_and_yxU21ttABC_and_ABfalseU21ttABC_and_ACfalse_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_AAext_and_U11isBoolAAext_and__and_falseAext_and_U31isBoolAext_and__and_xyz_and_yz_and_xy_and_yx_and__and_xyz_and_x_and_yztrue2_and_22221212_and_21211112U11212isBool121_xor_211211U2141141322124123and212false01U31111tt02U41222U121212true03not_111_isEqualTo_20isUniversal10_implies_221221112_isNotEqualTo_2212_or_222212U11111_and__and_falseAext_and_U31isBoolAextU31ttfalseU21ttABC_xor__and_AB_and_ACU41ttAAandttXXU121ttAAisBooltruettisBoolfalsettisBool_xor_V1V2andisBoolV1isBoolV2isBoolnot_V1isBoolV1isBool_isEqualTo_V1V2andisUniversalV1isUniversalV2isBool_implies_V1V2andisBoolV1isBoolV2isBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2isBool_or_V1V2andisBoolV1isBoolV2isBool_and_V1V2andisBoolV1isBoolV2U111ttfalseU11ttAA_xor_falseAU121isBoolAA_xor_AAU111isBoolA_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_AAext_xor_U111isBoolAext_and_falseAU31isBoolA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and__and_trueAext_and_U41isBoolAAext_and__and_AAext_and_U11isBoolAAext_and_AAU11isBoolAA_and_trueAU41isBoolAA_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_falseAext_and_U31isBoolAext_xor_xy_xor_yx_xor__xor_xyz_xor_x_xor_yz_and__and_xyz_and_x_and_yz_and_xy_and_yx3_and_22221212_and_212221212U112122isBool11_xor_211211U21432413321242231131121124and2112false00U1212112U11111tt01true01not_10_isEqualTo_20isUniversal10_implies_20_isNotEqualTo_20_or_20U3110U41222_and__and_xyz_and_yz_xor_falseAU121isBoolAA_xor_AAU111isBoolA_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_AAext_xor_U111isBoolAextU11ttAAU21ttABC_xor__and_AB_and_ACU121ttAAU111ttfalseisBooltruettisBoolfalsettisBool_xor_V1V2andisBoolV1isBoolV2isBoolnot_V1isBoolV1isBool_isEqualTo_V1V2andisUniversalV1isUniversalV2isBool_implies_V1V2andisBoolV1isBoolV2isBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2isBool_or_V1V2andisBoolV1isBoolV2isBool_and_V1V2andisBoolV1isBoolV2U31ttfalseU41ttAAandttXX_and_falseAU31isBoolA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and__and_trueAext_and_U41isBoolAAext_and__and_AAext_and_U11isBoolAAext_and_AAU11isBoolAA_and_trueAU41isBoolAA_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_falseAext_and_U31isBoolAext_xor_xy_xor_yx_xor__xor_xyz_xor_x_xor_yz_and__and_xyz_and_x_and_yz_and_xy_and_yx2_and_22221112_and_222221112U112122212isBool11_xor_221211U214324232231124123212and2112true02tt01false00not_10_isEqualTo_20isUniversal10_implies_20_isNotEqualTo_20_or_20U121212U3110U41222U11110_and__and_AAext_and_U11isBoolAAextisBooltruettisBoolfalsettisBool_xor_V1V2andisBoolV1isBoolV2isBoolnot_V1isBoolV1isBool_isEqualTo_V1V2andisUniversalV1isUniversalV2isBool_implies_V1V2andisBoolV1isBoolV2isBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2isBool_or_V1V2andisBoolV1isBoolV2isBool_and_V1V2andisBoolV1isBoolV2U121ttAAandttXXU11ttAA_and_falseAU31isBoolA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and__and_trueAext_and_U41isBoolAAext_and__and_AAext_and_U11isBoolAAext_and_AAU11isBoolAA_and_trueAU41isBoolAA_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_falseAext_and_U31isBoolAext_xor_falseAU121isBoolAA_xor_AAU111isBoolA_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_AAext_xor_U111isBoolAextU111ttfalseU41ttAAU21ttABC_xor__and_AB_and_ACU31ttfalse_and__and_xyz_and_x_and_yz_and_xy_and_yx_xor_xy_xor_yx_xor__xor_xyz_xor_x_xor_yz2_and_21211112_and_212221212_xor_221211U214224232221224223212and2112isBool11U11110tt01false00U3110U11222U121212U41212true01not_10_isEqualTo_20isUniversal11_implies_20_isNotEqualTo_20_or_20_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCextU111ttfalseU31ttfalseU11ttAA_xor_falseAU121isBoolAA_xor_AAU111isBoolA_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_AAext_xor_U111isBoolAextU41ttAAU21ttABC_xor__and_AB_and_ACU121ttAAandttXXisBooltruettisBoolfalsettisBool_xor_V1V2andisBoolV1isBoolV2isBoolnot_V1isBoolV1isBool_isEqualTo_V1V2andisUniversalV1isUniversalV2isBool_implies_V1V2andisBoolV1isBoolV2isBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2isBool_or_V1V2andisBoolV1isBoolV2isBool_and_V1V2andisBoolV1isBoolV2_and_falseAU31isBoolA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and__and_trueAext_and_U41isBoolAAext_and__and_AAext_and_U11isBoolAAext_and_AAU11isBoolAA_and_trueAU41isBoolAA_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_falseAext_and_U31isBoolAext_xor_xy_xor_yx_xor__xor_xyz_xor_x_xor_yz_and__and_xyz_and_x_and_yz_and_xy_and_yxU21ttABC_xor__and_AB_and_ACfalseU51ttAB_xor_A_and_ABfalseU81ttU'U_isEqualTo_UU'false_isEqualTo_UU'U61andisSU'isSUU'UfalseU61ttU'UU62equal_isNotEqualTo_UU'truefalseU61ttU'Uequal_isNotEqualTo_UU'truefalseU61ttU'U_isNotEqualTo_UU'false_and_AAU11isBoolAAfalse_and_AAisBoolAfalse_and_A_xor_BCandisBoolAandisBoolBisBoolCfalse_and_A_xor_BCisBoolAfalse_and_A_xor_BCandisBoolBisBoolCfalse_and_A_xor_BCisBoolBfalse_and_A_xor_BCisBoolCfalse_and_falseAU31isBoolAfalse_and_falseAisBoolAfalse_and_trueAU41isBoolAAfalse_and_trueAisBoolAfalse_implies_ABandisBoolAisBoolBfalse_implies_ABisBoolAfalse_implies_ABisBoolBfalse_isEqualTo_UU'andisSU'isSUfalse_isEqualTo_UUU71isSUfalse_isNotEqualTo_UU'U81andisSU'isSUU'Ufalse_isNotEqualTo_UU'andisSU'isSUfalse_isNotEqualTo_UUU91isSUfalse_or_ABandisBoolAisBoolBfalse_or_ABisBoolAfalse_or_ABisBoolBfalse_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_AAext_xor_U111isBoolAext_xor__xor_xyz_xor_yz_xor_xy_xor_yx_xor__xor_xyz_xor_x_xor_yztrue1_xor_23132_xor_231112U11112isBool10false02U121212and23tt00_isEqualTo_20isUniversal10_implies_20_isNotEqualTo_20_or_20true00_and_20not_131_xor__xor_xyz_xor_yz_xor__xor_AAext_xor_U111isBoolAext_xor__xor_falseAext_xor_U121isBoolAAextU121ttAAU111ttfalse_xor_falseAU121isBoolAA_xor_AAU111isBoolA_xor__xor_falseAext_xor_U121isBoolAAext_xor__xor_AAext_xor_U111isBoolAext_xor_xy_xor_yx_xor__xor_xyz_xor_x_xor_yz_xor_AAU111isBoolAfalse_xor_AAisBoolAfalse_xor_falseAU121isBoolAAfalse_xor_falseAisBoolAfalseif_then_else_fiBUU'andisBoolBandisSU'isSUfalseif_then_else_fiBUU'isBoolBfalseif_then_else_fiBUU'andisSU'isSUfalseif_then_else_fitrueUU'U141andisSU'isSUUfalseif_then_else_fitrueUU'andisSU'isSUfalsenot_AisBoolAfalse_and__and_AAextisBoolAfalse_and__and_A_xor_BCextisBoolAfalse_and__and_A_xor_BCextisBoolBfalse_and__and_A_xor_BCextisBoolCfalse_and__and_falseAextisBoolAfalse_and__and_trueAextisBoolAfalse_or__or_ABextisBoolAfalse_or__or_ABextisBoolBfalse_xor__xor_AAextisBoolAfalse_xor__xor_falseAextisBoolAfalseisBool_and_V1V2isBoolV2isBool_and_V1V2isBoolV1isBool_implies_V1V2isBoolV1isBool_implies_V1V2isBoolV2isBool_or_V1V2isBoolV1isBool_or_V1V2isBoolV2isBool_xor_V1V2isBoolV1isBool_xor_V1V2isBoolV2isBoolnot_V1isBoolV1true1isBool121_and_23112_implies_23132not_131_or_23112_xor_23132isBool_and_V1V2isBoolV1isBool_implies_V1V2isBoolV1isBool_implies_V1V2isBoolV2isBoolnot_V1isBoolV1isBool_and_V1V2isBoolV2isBool_or_V1V2isBoolV1isBool_xor_V1V2isBoolV2isBool_or_V1V2isBoolV2isBool_xor_V1V2isBoolV1U101ttAB_xor__and_AB_xor_ABU11ttAAU111ttfalseU121ttAAU131ttBU'U132equal_isNotEqualTo_BtruetrueU'U132ttU'U'U141ttUUU151ttA_xor_AtrueU21ttABC_xor__and_AB_and_ACU31ttfalseU41ttAAU51ttABnot__xor_A_and_ABU61ttU'UU62equal_isNotEqualTo_UU'trueU62ttfalseU71tttrueU81ttU'Uif_then_else_fi_isEqualTo_UU'falsetrueU91ttfalse_and_AAU11isBoolAA_and_A_xor_BCU21andisBoolAandisBoolBisBoolCABC_and_falseAU31isBoolA_and_trueAU41isBoolAA_implies_ABU51andisBoolAisBoolBAB_isEqualTo_UU'U61andisSU'isSUU'U_isEqualTo_UUU71isSU_isNotEqualTo_UU'U81andisSU'isSUU'U_isNotEqualTo_UUU91isSU_or_ABU101andisBoolAisBoolBAB_xor_AAU111isBoolA_xor_falseAU121isBoolAAandttXXequalXXttif_then_else_fiBUU'U131andisBoolBandisSU'isSUBU'if_then_else_fitrueUU'U141andisSU'isSUUisBoolfalsettisBooltruettisBool_and_V1V2andisBoolV1isBoolV2isBool_implies_V1V2andisBoolV1isBoolV2isBool_isEqualTo_V1V2andisUniversalV1isUniversalV2isBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2isBool_or_V1V2andisBoolV1isBoolV2isBool_xor_V1V2andisBoolV1isBoolV2isBoolnot_V1isBoolV1not_AU151isBoolAAnot_falsetruenot_truefalse_and__and_AAext_and_U11isBoolAAext_and__and_A_xor_BCext_and_U21andisBoolAandisBoolBisBoolCABCext_and__and_falseAext_and_U31isBoolAext_and__and_trueAext_and_U41isBoolAAext_or__or_ABext_or_U101andisBoolAisBoolBABext_xor__xor_AAext_xor_U111isBoolAext_xor__xor_falseAext_xor_U121isBoolAAextisBool_and_V1V2andisBoolV1isBoolV2falseisBool_implies_V1V2andisBoolV1isBoolV2falseisBool_isEqualTo_V1V2andisUniversalV1isUniversalV2falseisBool_isNotEqualTo_V1V2andisUniversalV1isUniversalV2falseisBool_or_V1V2andisBoolV1isBoolV2falseisBool_xor_V1V2andisBoolV1isBoolV2false_and__and_AAextU11isBoolAAfalse_and__and_A_xor_BCextandisBoolAandisBoolBisBoolCfalse_and__and_A_xor_BCextandisBoolBisBoolCfalse_and__and_falseAextU31isBoolAfalse_and__and_trueAextU41isBoolAAfalse_or__or_ABextandisBoolAisBoolBfalse_xor__xor_AAextU111isBoolAfalse_xor__xor_falseAextU121isBoolAAfalseAProVEAProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Statistics for single proof: 100.00 % (16 real / 0 unknown / 0 assumptions / 16 total proof steps)http://aprove.informatik.rwth-aachen.deJohnDoe