- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(U101(tt,M,N)) -> mark(U102(isNatKind(M),M,N)) [2] active(U102(tt,M,N)) -> mark(U103(isNat(N),M,N)) [3] active(U103(tt,M,N)) -> mark(U104(isNatKind(N),M,N)) [4] active(U104(tt,M,N)) -> mark(plus(x(N,M),N)) [5] active(U11(tt,V1,V2)) -> mark(U12(isNatKind(V1),V1,V2)) [6] active(U12(tt,V1,V2)) -> mark(U13(isNatKind(V2),V1,V2)) [7] active(U13(tt,V1,V2)) -> mark(U14(isNatKind(V2),V1,V2)) [8] active(U14(tt,V1,V2)) -> mark(U15(isNat(V1),V2)) [9] active(U15(tt,V2)) -> mark(U16(isNat(V2))) [10] active(U16(tt)) -> mark(tt) [11] active(U21(tt,V1)) -> mark(U22(isNatKind(V1),V1)) [12] active(U22(tt,V1)) -> mark(U23(isNat(V1))) [13] active(U23(tt)) -> mark(tt) [14] active(U31(tt,V1,V2)) -> mark(U32(isNatKind(V1),V1,V2)) [15] active(U32(tt,V1,V2)) -> mark(U33(isNatKind(V2),V1,V2)) [16] active(U33(tt,V1,V2)) -> mark(U34(isNatKind(V2),V1,V2)) [17] active(U34(tt,V1,V2)) -> mark(U35(isNat(V1),V2)) [18] active(U35(tt,V2)) -> mark(U36(isNat(V2))) [19] active(U36(tt)) -> mark(tt) [20] active(U41(tt,V2)) -> mark(U42(isNatKind(V2))) [21] active(U42(tt)) -> mark(tt) [22] active(U51(tt)) -> mark(tt) [23] active(U61(tt,V2)) -> mark(U62(isNatKind(V2))) [24] active(U62(tt)) -> mark(tt) [25] active(U71(tt,N)) -> mark(U72(isNatKind(N),N)) [26] active(U72(tt,N)) -> mark(N) [27] active(U81(tt,M,N)) -> mark(U82(isNatKind(M),M,N)) [28] active(U82(tt,M,N)) -> mark(U83(isNat(N),M,N)) [29] active(U83(tt,M,N)) -> mark(U84(isNatKind(N),M,N)) [30] active(U84(tt,M,N)) -> mark(s(plus(N,M))) [31] active(U91(tt,N)) -> mark(U92(isNatKind(N))) [32] active(U92(tt)) -> mark(0) [33] active(isNat(0)) -> mark(tt) [34] active(isNat(plus(V1,V2))) -> mark(U11(isNatKind(V1),V1,V2)) [35] active(isNat(s(V1))) -> mark(U21(isNatKind(V1),V1)) [36] active(isNat(x(V1,V2))) -> mark(U31(isNatKind(V1),V1,V2)) [37] active(isNatKind(0)) -> mark(tt) [38] active(isNatKind(plus(V1,V2))) -> mark(U41(isNatKind(V1),V2)) [39] active(isNatKind(s(V1))) -> mark(U51(isNatKind(V1))) [40] active(isNatKind(x(V1,V2))) -> mark(U61(isNatKind(V1),V2)) [41] active(plus(N,0)) -> mark(U71(isNat(N),N)) [42] active(plus(N,s(M))) -> mark(U81(isNat(M),M,N)) [43] active(x(N,0)) -> mark(U91(isNat(N),N)) [44] active(x(N,s(M))) -> mark(U101(isNat(M),M,N)) [45] mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3)) [46] mark(tt) -> active(tt) [47] mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3)) [48] mark(isNatKind(X)) -> active(isNatKind(X)) [49] mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3)) [50] mark(isNat(X)) -> active(isNat(X)) [51] mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3)) [52] mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) [53] mark(x(X1,X2)) -> active(x(mark(X1),mark(X2))) [54] mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) [55] mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) [56] mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3)) [57] mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3)) [58] mark(U15(X1,X2)) -> active(U15(mark(X1),X2)) [59] mark(U16(X)) -> active(U16(mark(X))) [60] mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) [61] mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) [62] mark(U23(X)) -> active(U23(mark(X))) [63] mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3)) [64] mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3)) [65] mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3)) [66] mark(U34(X1,X2,X3)) -> active(U34(mark(X1),X2,X3)) [67] mark(U35(X1,X2)) -> active(U35(mark(X1),X2)) [68] mark(U36(X)) -> active(U36(mark(X))) [69] mark(U41(X1,X2)) -> active(U41(mark(X1),X2)) [70] mark(U42(X)) -> active(U42(mark(X))) [71] mark(U51(X)) -> active(U51(mark(X))) [72] mark(U61(X1,X2)) -> active(U61(mark(X1),X2)) [73] mark(U62(X)) -> active(U62(mark(X))) [74] mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) [75] mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) [76] mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) [77] mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) [78] mark(U83(X1,X2,X3)) -> active(U83(mark(X1),X2,X3)) [79] mark(U84(X1,X2,X3)) -> active(U84(mark(X1),X2,X3)) [80] mark(s(X)) -> active(s(mark(X))) [81] mark(U91(X1,X2)) -> active(U91(mark(X1),X2)) [82] mark(U92(X)) -> active(U92(mark(X))) [83] mark(0) -> active(0) [84] U101(mark(X1),X2,X3) -> U101(X1,X2,X3) [85] U101(X1,mark(X2),X3) -> U101(X1,X2,X3) [86] U101(X1,X2,mark(X3)) -> U101(X1,X2,X3) [87] U101(active(X1),X2,X3) -> U101(X1,X2,X3) [88] U101(X1,active(X2),X3) -> U101(X1,X2,X3) [89] U101(X1,X2,active(X3)) -> U101(X1,X2,X3) [90] U102(mark(X1),X2,X3) -> U102(X1,X2,X3) [91] U102(X1,mark(X2),X3) -> U102(X1,X2,X3) [92] U102(X1,X2,mark(X3)) -> U102(X1,X2,X3) [93] U102(active(X1),X2,X3) -> U102(X1,X2,X3) [94] U102(X1,active(X2),X3) -> U102(X1,X2,X3) [95] U102(X1,X2,active(X3)) -> U102(X1,X2,X3) [96] isNatKind(mark(X)) -> isNatKind(X) [97] isNatKind(active(X)) -> isNatKind(X) [98] U103(mark(X1),X2,X3) -> U103(X1,X2,X3) [99] U103(X1,mark(X2),X3) -> U103(X1,X2,X3) [100] U103(X1,X2,mark(X3)) -> U103(X1,X2,X3) [101] U103(active(X1),X2,X3) -> U103(X1,X2,X3) [102] U103(X1,active(X2),X3) -> U103(X1,X2,X3) [103] U103(X1,X2,active(X3)) -> U103(X1,X2,X3) [104] isNat(mark(X)) -> isNat(X) [105] isNat(active(X)) -> isNat(X) [106] U104(mark(X1),X2,X3) -> U104(X1,X2,X3) [107] U104(X1,mark(X2),X3) -> U104(X1,X2,X3) [108] U104(X1,X2,mark(X3)) -> U104(X1,X2,X3) [109] U104(active(X1),X2,X3) -> U104(X1,X2,X3) [110] U104(X1,active(X2),X3) -> U104(X1,X2,X3) [111] U104(X1,X2,active(X3)) -> U104(X1,X2,X3) [112] plus(mark(X1),X2) -> plus(X1,X2) [113] plus(X1,mark(X2)) -> plus(X1,X2) [114] plus(active(X1),X2) -> plus(X1,X2) [115] plus(X1,active(X2)) -> plus(X1,X2) [116] x(mark(X1),X2) -> x(X1,X2) [117] x(X1,mark(X2)) -> x(X1,X2) [118] x(active(X1),X2) -> x(X1,X2) [119] x(X1,active(X2)) -> x(X1,X2) [120] U11(mark(X1),X2,X3) -> U11(X1,X2,X3) [121] U11(X1,mark(X2),X3) -> U11(X1,X2,X3) [122] U11(X1,X2,mark(X3)) -> U11(X1,X2,X3) [123] U11(active(X1),X2,X3) -> U11(X1,X2,X3) [124] U11(X1,active(X2),X3) -> U11(X1,X2,X3) [125] U11(X1,X2,active(X3)) -> U11(X1,X2,X3) [126] U12(mark(X1),X2,X3) -> U12(X1,X2,X3) [127] U12(X1,mark(X2),X3) -> U12(X1,X2,X3) [128] U12(X1,X2,mark(X3)) -> U12(X1,X2,X3) [129] U12(active(X1),X2,X3) -> U12(X1,X2,X3) [130] U12(X1,active(X2),X3) -> U12(X1,X2,X3) [131] U12(X1,X2,active(X3)) -> U12(X1,X2,X3) [132] U13(mark(X1),X2,X3) -> U13(X1,X2,X3) [133] U13(X1,mark(X2),X3) -> U13(X1,X2,X3) [134] U13(X1,X2,mark(X3)) -> U13(X1,X2,X3) [135] U13(active(X1),X2,X3) -> U13(X1,X2,X3) [136] U13(X1,active(X2),X3) -> U13(X1,X2,X3) [137] U13(X1,X2,active(X3)) -> U13(X1,X2,X3) [138] U14(mark(X1),X2,X3) -> U14(X1,X2,X3) [139] U14(X1,mark(X2),X3) -> U14(X1,X2,X3) [140] U14(X1,X2,mark(X3)) -> U14(X1,X2,X3) [141] U14(active(X1),X2,X3) -> U14(X1,X2,X3) [142] U14(X1,active(X2),X3) -> U14(X1,X2,X3) [143] U14(X1,X2,active(X3)) -> U14(X1,X2,X3) [144] U15(mark(X1),X2) -> U15(X1,X2) [145] U15(X1,mark(X2)) -> U15(X1,X2) [146] U15(active(X1),X2) -> U15(X1,X2) [147] U15(X1,active(X2)) -> U15(X1,X2) [148] U16(mark(X)) -> U16(X) [149] U16(active(X)) -> U16(X) [150] U21(mark(X1),X2) -> U21(X1,X2) [151] U21(X1,mark(X2)) -> U21(X1,X2) [152] U21(active(X1),X2) -> U21(X1,X2) [153] U21(X1,active(X2)) -> U21(X1,X2) [154] U22(mark(X1),X2) -> U22(X1,X2) [155] U22(X1,mark(X2)) -> U22(X1,X2) [156] U22(active(X1),X2) -> U22(X1,X2) [157] U22(X1,active(X2)) -> U22(X1,X2) [158] U23(mark(X)) -> U23(X) [159] U23(active(X)) -> U23(X) [160] U31(mark(X1),X2,X3) -> U31(X1,X2,X3) [161] U31(X1,mark(X2),X3) -> U31(X1,X2,X3) [162] U31(X1,X2,mark(X3)) -> U31(X1,X2,X3) [163] U31(active(X1),X2,X3) -> U31(X1,X2,X3) [164] U31(X1,active(X2),X3) -> U31(X1,X2,X3) [165] U31(X1,X2,active(X3)) -> U31(X1,X2,X3) [166] U32(mark(X1),X2,X3) -> U32(X1,X2,X3) [167] U32(X1,mark(X2),X3) -> U32(X1,X2,X3) [168] U32(X1,X2,mark(X3)) -> U32(X1,X2,X3) [169] U32(active(X1),X2,X3) -> U32(X1,X2,X3) [170] U32(X1,active(X2),X3) -> U32(X1,X2,X3) [171] U32(X1,X2,active(X3)) -> U32(X1,X2,X3) [172] U33(mark(X1),X2,X3) -> U33(X1,X2,X3) [173] U33(X1,mark(X2),X3) -> U33(X1,X2,X3) [174] U33(X1,X2,mark(X3)) -> U33(X1,X2,X3) [175] U33(active(X1),X2,X3) -> U33(X1,X2,X3) [176] U33(X1,active(X2),X3) -> U33(X1,X2,X3) [177] U33(X1,X2,active(X3)) -> U33(X1,X2,X3) [178] U34(mark(X1),X2,X3) -> U34(X1,X2,X3) [179] U34(X1,mark(X2),X3) -> U34(X1,X2,X3) [180] U34(X1,X2,mark(X3)) -> U34(X1,X2,X3) [181] U34(active(X1),X2,X3) -> U34(X1,X2,X3) [182] U34(X1,active(X2),X3) -> U34(X1,X2,X3) [183] U34(X1,X2,active(X3)) -> U34(X1,X2,X3) [184] U35(mark(X1),X2) -> U35(X1,X2) [185] U35(X1,mark(X2)) -> U35(X1,X2) [186] U35(active(X1),X2) -> U35(X1,X2) [187] U35(X1,active(X2)) -> U35(X1,X2) [188] U36(mark(X)) -> U36(X) [189] U36(active(X)) -> U36(X) [190] U41(mark(X1),X2) -> U41(X1,X2) [191] U41(X1,mark(X2)) -> U41(X1,X2) [192] U41(active(X1),X2) -> U41(X1,X2) [193] U41(X1,active(X2)) -> U41(X1,X2) [194] U42(mark(X)) -> U42(X) [195] U42(active(X)) -> U42(X) [196] U51(mark(X)) -> U51(X) [197] U51(active(X)) -> U51(X) [198] U61(mark(X1),X2) -> U61(X1,X2) [199] U61(X1,mark(X2)) -> U61(X1,X2) [200] U61(active(X1),X2) -> U61(X1,X2) [201] U61(X1,active(X2)) -> U61(X1,X2) [202] U62(mark(X)) -> U62(X) [203] U62(active(X)) -> U62(X) [204] U71(mark(X1),X2) -> U71(X1,X2) [205] U71(X1,mark(X2)) -> U71(X1,X2) [206] U71(active(X1),X2) -> U71(X1,X2) [207] U71(X1,active(X2)) -> U71(X1,X2) [208] U72(mark(X1),X2) -> U72(X1,X2) [209] U72(X1,mark(X2)) -> U72(X1,X2) [210] U72(active(X1),X2) -> U72(X1,X2) [211] U72(X1,active(X2)) -> U72(X1,X2) [212] U81(mark(X1),X2,X3) -> U81(X1,X2,X3) [213] U81(X1,mark(X2),X3) -> U81(X1,X2,X3) [214] U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) [215] U81(active(X1),X2,X3) -> U81(X1,X2,X3) [216] U81(X1,active(X2),X3) -> U81(X1,X2,X3) [217] U81(X1,X2,active(X3)) -> U81(X1,X2,X3) [218] U82(mark(X1),X2,X3) -> U82(X1,X2,X3) [219] U82(X1,mark(X2),X3) -> U82(X1,X2,X3) [220] U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) [221] U82(active(X1),X2,X3) -> U82(X1,X2,X3) [222] U82(X1,active(X2),X3) -> U82(X1,X2,X3) [223] U82(X1,X2,active(X3)) -> U82(X1,X2,X3) [224] U83(mark(X1),X2,X3) -> U83(X1,X2,X3) [225] U83(X1,mark(X2),X3) -> U83(X1,X2,X3) [226] U83(X1,X2,mark(X3)) -> U83(X1,X2,X3) [227] U83(active(X1),X2,X3) -> U83(X1,X2,X3) [228] U83(X1,active(X2),X3) -> U83(X1,X2,X3) [229] U83(X1,X2,active(X3)) -> U83(X1,X2,X3) [230] U84(mark(X1),X2,X3) -> U84(X1,X2,X3) [231] U84(X1,mark(X2),X3) -> U84(X1,X2,X3) [232] U84(X1,X2,mark(X3)) -> U84(X1,X2,X3) [233] U84(active(X1),X2,X3) -> U84(X1,X2,X3) [234] U84(X1,active(X2),X3) -> U84(X1,X2,X3) [235] U84(X1,X2,active(X3)) -> U84(X1,X2,X3) [236] s(mark(X)) -> s(X) [237] s(active(X)) -> s(X) [238] U91(mark(X1),X2) -> U91(X1,X2) [239] U91(X1,mark(X2)) -> U91(X1,X2) [240] U91(active(X1),X2) -> U91(X1,X2) [241] U91(X1,active(X2)) -> U91(X1,X2) [242] U92(mark(X)) -> U92(X) [243] U92(active(X)) -> U92(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 38 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> 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--> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) ; mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) ; mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) ; mark(U16(X)) >= active(U16(mark(X))) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) ; mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) ; mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) ; mark(U36(X)) >= active(U36(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U51(X)) >= active(U51(mark(X))) ; mark(U62(X)) >= active(U62(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) ; mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(U92(X)) >= active(U92(mark(X))) ; mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) ; mark(0) >= active(0) ; U102(mark(X1),X2,X3) >= U102(X1,X2,X3) ; U102(active(X1),X2,X3) >= U102(X1,X2,X3) ; U102(X1,mark(X2),X3) >= U102(X1,X2,X3) ; U102(X1,active(X2),X3) >= U102(X1,X2,X3) ; U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) ; U102(X1,X2,active(X3)) >= U102(X1,X2,X3) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) ; active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) ; active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ; active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) ; active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) ; active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ; active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(0)) >= mark(tt) ; active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) ; active(plus(N,0)) >= mark(U71(isNat(N),N)) ; active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) ; active(x(N,0)) >= mark(U91(isNat(N),N)) ; active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ; active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ; active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ; active(U15(tt,V2)) >= mark(U16(isNat(V2))) ; active(U16(tt)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) ; active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) ; active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) ; active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) ; active(U35(tt,V2)) >= mark(U36(isNat(V2))) ; active(U36(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) ; active(U51(tt)) >= mark(tt) ; active(U62(tt)) >= mark(tt) ; active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) ; active(U72(tt,N)) >= mark(N) ; active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) ; active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) ; active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) ; active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) ; active(U84(tt,M,N)) >= mark(s(plus(N,M))) ; active(U92(tt)) >= mark(0) ; active(U91(tt,N)) >= mark(U92(isNatKind(N))) ; U101(mark(X1),X2,X3) >= U101(X1,X2,X3) ; U101(active(X1),X2,X3) >= U101(X1,X2,X3) ; U101(X1,mark(X2),X3) >= U101(X1,X2,X3) ; U101(X1,active(X2),X3) >= U101(X1,X2,X3) ; U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) ; U101(X1,X2,active(X3)) >= U101(X1,X2,X3) ; U103(mark(X1),X2,X3) >= U103(X1,X2,X3) ; U103(active(X1),X2,X3) >= U103(X1,X2,X3) ; U103(X1,mark(X2),X3) >= U103(X1,X2,X3) ; U103(X1,active(X2),X3) >= U103(X1,X2,X3) ; U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) ; U103(X1,X2,active(X3)) >= U103(X1,X2,X3) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U104(mark(X1),X2,X3) >= U104(X1,X2,X3) ; U104(active(X1),X2,X3) >= U104(X1,X2,X3) ; U104(X1,mark(X2),X3) >= U104(X1,X2,X3) ; U104(X1,active(X2),X3) >= U104(X1,X2,X3) ; U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) ; U104(X1,X2,active(X3)) >= U104(X1,X2,X3) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ; U12(active(X1),X2,X3) >= U12(X1,X2,X3) ; U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ; U12(X1,active(X2),X3) >= U12(X1,X2,X3) ; U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ; U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X1),X2,X3) >= U13(X1,X2,X3) ; U13(active(X1),X2,X3) >= U13(X1,X2,X3) ; U13(X1,mark(X2),X3) >= U13(X1,X2,X3) ; U13(X1,active(X2),X3) >= U13(X1,X2,X3) ; U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) ; U13(X1,X2,active(X3)) >= U13(X1,X2,X3) ; U14(mark(X1),X2,X3) >= U14(X1,X2,X3) ; U14(active(X1),X2,X3) >= U14(X1,X2,X3) ; U14(X1,mark(X2),X3) >= U14(X1,X2,X3) ; U14(X1,active(X2),X3) >= U14(X1,X2,X3) ; U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) ; U14(X1,X2,active(X3)) >= U14(X1,X2,X3) ; U15(mark(X1),X2) >= U15(X1,X2) ; U15(active(X1),X2) >= U15(X1,X2) ; U15(X1,mark(X2)) >= U15(X1,X2) ; U15(X1,active(X2)) >= U15(X1,X2) ; U16(mark(X)) >= U16(X) ; U16(active(X)) >= U16(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; U32(mark(X1),X2,X3) >= U32(X1,X2,X3) ; U32(active(X1),X2,X3) >= U32(X1,X2,X3) ; U32(X1,mark(X2),X3) >= U32(X1,X2,X3) ; U32(X1,active(X2),X3) >= U32(X1,X2,X3) ; U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) ; U32(X1,X2,active(X3)) >= U32(X1,X2,X3) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X1),X2,X3) >= U33(X1,X2,X3) ; U33(active(X1),X2,X3) >= U33(X1,X2,X3) ; U33(X1,mark(X2),X3) >= U33(X1,X2,X3) ; U33(X1,active(X2),X3) >= U33(X1,X2,X3) ; U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) ; U33(X1,X2,active(X3)) >= U33(X1,X2,X3) ; U34(mark(X1),X2,X3) >= U34(X1,X2,X3) ; U34(active(X1),X2,X3) >= U34(X1,X2,X3) ; U34(X1,mark(X2),X3) >= U34(X1,X2,X3) ; U34(X1,active(X2),X3) >= U34(X1,X2,X3) ; U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) ; U34(X1,X2,active(X3)) >= U34(X1,X2,X3) ; U35(mark(X1),X2) >= U35(X1,X2) ; U35(active(X1),X2) >= U35(X1,X2) ; U35(X1,mark(X2)) >= U35(X1,X2) ; U35(X1,active(X2)) >= U35(X1,X2) ; U36(mark(X)) >= U36(X) ; U36(active(X)) >= U36(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; U51(mark(X)) >= U51(X) ; U51(active(X)) >= U51(X) ; U62(mark(X)) >= U62(X) ; U62(active(X)) >= U62(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; U72(mark(X1),X2) >= U72(X1,X2) ; U72(active(X1),X2) >= U72(X1,X2) ; U72(X1,mark(X2)) >= U72(X1,X2) ; U72(X1,active(X2)) >= U72(X1,X2) ; U71(mark(X1),X2) >= U71(X1,X2) ; U71(active(X1),X2) >= U71(X1,X2) ; U71(X1,mark(X2)) >= U71(X1,X2) ; U71(X1,active(X2)) >= U71(X1,X2) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; U92(mark(X)) >= U92(X) ; U92(active(X)) >= U92(X) ; U91(mark(X1),X2) >= U91(X1,X2) ; U91(active(X1),X2) >= U91(X1,X2) ; U91(X1,mark(X2)) >= U91(X1,X2) ; U91(X1,active(X2)) >= U91(X1,X2) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ; Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ; Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) ; Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) ; Marked_mark(U15(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) ; Marked_mark(U16(X)) >= Marked_mark(X) ; Marked_mark(U16(X)) >= Marked_active(U16(mark(X))) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) ; Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) ; Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) ; Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) ; Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) ; Marked_mark(U35(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) ; Marked_mark(U36(X)) >= Marked_mark(X) ; Marked_mark(U36(X)) >= Marked_active(U36(mark(X))) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U51(X)) >= Marked_mark(X) ; Marked_mark(U51(X)) >= Marked_active(U51(mark(X))) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U62(X)) >= Marked_active(U62(mark(X))) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(U72(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) ; Marked_mark(U71(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(U92(X)) >= Marked_mark(X) ; Marked_mark(U92(X)) >= Marked_active(U92(mark(X))) ; Marked_mark(U91(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) ; Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) ; Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41(isNatKind(V1),V2)) ; Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1),V2)) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) ; Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) ; Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1),V1,V2)) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1),V1,V2)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) ; Marked_active(x(N,s(M))) >= Marked_mark(U101(isNat(M),M,N)) ; Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) ; Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2),V1,V2)) ; Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1),V1,V2)) ; Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2),V1,V2)) ; Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) ; Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2),V1,V2)) ; Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1),V1,V2)) ; Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2),V1,V2)) ; Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) ; Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) ; Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) ; Marked_active(U72(tt,N)) >= Marked_mark(N) ; Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) ; Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) ; Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) ; Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) ; Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) ; } + Disjunctions:{ { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_active(U102(mark(X1),X2,X3)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_active(U101(mark(X1),X2,X3)) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_active(U103(mark(X1),X2,X3)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_active(U104(mark(X1),X2,X3)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_active(U13(mark(X1),X2,X3)) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_active(U14(mark(X1),X2,X3)) ; } { Marked_mark(U15(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U15(X1,X2)) > Marked_active(U15(mark(X1),X2)) ; } { Marked_mark(U16(X)) > Marked_mark(X) ; } { Marked_mark(U16(X)) > Marked_active(U16(mark(X))) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U23(X)) > Marked_active(U23(mark(X))) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_active(U32(mark(X1),X2,X3)) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_active(U31(mark(X1),X2,X3)) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_active(U33(mark(X1),X2,X3)) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_active(U34(mark(X1),X2,X3)) ; } { Marked_mark(U35(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U35(X1,X2)) > Marked_active(U35(mark(X1),X2)) ; } { Marked_mark(U36(X)) > Marked_mark(X) ; } { Marked_mark(U36(X)) > Marked_active(U36(mark(X))) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_active(U42(mark(X))) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U51(X)) > Marked_mark(X) ; } { Marked_mark(U51(X)) > Marked_active(U51(mark(X))) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U62(X)) > Marked_active(U62(mark(X))) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(U72(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U72(X1,X2)) > Marked_active(U72(mark(X1),X2)) ; } { Marked_mark(U71(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U71(X1,X2)) > Marked_active(U71(mark(X1),X2)) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(U92(X)) > Marked_mark(X) ; } { Marked_mark(U92(X)) > Marked_active(U92(mark(X))) ; } { Marked_mark(U91(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2)) > Marked_active(U91(mark(X1),X2)) ; } { Marked_active(U102(tt,M,N)) > Marked_mark(U103(isNat(N),M,N)) ; } { Marked_active(isNatKind(plus(V1,V2))) > Marked_mark(U41(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(x(V1,V2))) > Marked_mark(U61(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U51(isNatKind(V1))) ; } { Marked_active(U101(tt,M,N)) > Marked_mark(U102(isNatKind(M),M,N)) ; } { Marked_active(U103(tt,M,N)) > Marked_mark(U104(isNatKind(N),M,N)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(U11(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(U31(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U104(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U81(isNat(M),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U71(isNat(N),N)) ; } { Marked_active(x(N,s(M))) > Marked_mark(U101(isNat(M),M,N)) ; } { Marked_active(x(N,0)) > Marked_mark(U91(isNat(N),N)) ; } { Marked_active(U12(tt,V1,V2)) > Marked_mark(U13(isNatKind(V2),V1,V2)) ; } { Marked_active(U11(tt,V1,V2)) > Marked_mark(U12(isNatKind(V1),V1,V2)) ; } { Marked_active(U13(tt,V1,V2)) > Marked_mark(U14(isNatKind(V2),V1,V2)) ; } { Marked_active(U14(tt,V1,V2)) > Marked_mark(U15(isNat(V1),V2)) ; } { Marked_active(U15(tt,V2)) > Marked_mark(U16(isNat(V2))) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V1,V2)) > Marked_mark(U33(isNatKind(V2),V1,V2)) ; } { Marked_active(U31(tt,V1,V2)) > Marked_mark(U32(isNatKind(V1),V1,V2)) ; } { Marked_active(U33(tt,V1,V2)) > Marked_mark(U34(isNatKind(V2),V1,V2)) ; } { Marked_active(U34(tt,V1,V2)) > Marked_mark(U35(isNat(V1),V2)) ; } { Marked_active(U35(tt,V2)) > Marked_mark(U36(isNat(V2))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatKind(V2))) ; } { Marked_active(U61(tt,V2)) > Marked_mark(U62(isNatKind(V2))) ; } { Marked_active(U72(tt,N)) > Marked_mark(N) ; } { Marked_active(U71(tt,N)) > Marked_mark(U72(isNatKind(N),N)) ; } { Marked_active(U82(tt,M,N)) > Marked_mark(U83(isNat(N),M,N)) ; } { Marked_active(U81(tt,M,N)) > Marked_mark(U82(isNatKind(M),M,N)) ; } { Marked_active(U83(tt,M,N)) > Marked_mark(U84(isNatKind(N),M,N)) ; } { Marked_active(U84(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U91(tt,N)) > Marked_mark(U92(isNatKind(N))) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) constraint: mark(tt) >= active(tt) constraint: mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) constraint: mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) constraint: mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) constraint: mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) constraint: mark(U16(X)) >= active(U16(mark(X))) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) constraint: mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) constraint: mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) constraint: mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) constraint: mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) constraint: mark(U36(X)) >= active(U36(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U51(X)) >= active(U51(mark(X))) constraint: mark(U62(X)) >= active(U62(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) constraint: mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(U92(X)) >= active(U92(mark(X))) constraint: mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: U102(mark(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(active(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(X1,mark(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,active(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) constraint: U102(X1,X2,active(X3)) >= U102(X1,X2,X3) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) constraint: active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) constraint: active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) constraint: active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) constraint: active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) constraint: active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) constraint: active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(0)) >= mark(tt) constraint: active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) constraint: active(plus(N,0)) >= mark(U71(isNat(N),N)) constraint: active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) constraint: active(x(N,0)) >= mark(U91(isNat(N),N)) constraint: active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) constraint: active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) constraint: active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) constraint: active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) constraint: active(U15(tt,V2)) >= mark(U16(isNat(V2))) constraint: active(U16(tt)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) constraint: active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) constraint: active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) constraint: active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) constraint: active(U35(tt,V2)) >= mark(U36(isNat(V2))) constraint: active(U36(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) constraint: active(U51(tt)) >= mark(tt) constraint: active(U62(tt)) >= mark(tt) constraint: active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) constraint: active(U72(tt,N)) >= mark(N) constraint: active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) constraint: active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) constraint: active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) constraint: active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) constraint: active(U84(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U92(tt)) >= mark(0) constraint: active(U91(tt,N)) >= mark(U92(isNatKind(N))) constraint: U101(mark(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(active(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(X1,mark(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,active(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) constraint: U101(X1,X2,active(X3)) >= U101(X1,X2,X3) constraint: U103(mark(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(active(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(X1,mark(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,active(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) constraint: U103(X1,X2,active(X3)) >= U103(X1,X2,X3) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U104(mark(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(active(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(X1,mark(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,active(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) constraint: U104(X1,X2,active(X3)) >= U104(X1,X2,X3) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3) constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3) constraint: U13(mark(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(active(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(X1,mark(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,active(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) constraint: U13(X1,X2,active(X3)) >= U13(X1,X2,X3) constraint: U14(mark(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(active(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(X1,mark(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,active(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) constraint: U14(X1,X2,active(X3)) >= U14(X1,X2,X3) constraint: U15(mark(X1),X2) >= U15(X1,X2) constraint: U15(active(X1),X2) >= U15(X1,X2) constraint: U15(X1,mark(X2)) >= U15(X1,X2) constraint: U15(X1,active(X2)) >= U15(X1,X2) constraint: U16(mark(X)) >= U16(X) constraint: U16(active(X)) >= U16(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: U32(mark(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(active(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(X1,mark(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,active(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) constraint: U32(X1,X2,active(X3)) >= U32(X1,X2,X3) constraint: U31(mark(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(active(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(X1,mark(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,active(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) constraint: U31(X1,X2,active(X3)) >= U31(X1,X2,X3) constraint: U33(mark(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(active(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(X1,mark(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,active(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) constraint: U33(X1,X2,active(X3)) >= U33(X1,X2,X3) constraint: U34(mark(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(active(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(X1,mark(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,active(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) constraint: U34(X1,X2,active(X3)) >= U34(X1,X2,X3) constraint: U35(mark(X1),X2) >= U35(X1,X2) constraint: U35(active(X1),X2) >= U35(X1,X2) constraint: U35(X1,mark(X2)) >= U35(X1,X2) constraint: U35(X1,active(X2)) >= U35(X1,X2) constraint: U36(mark(X)) >= U36(X) constraint: U36(active(X)) >= U36(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: U41(mark(X1),X2) >= U41(X1,X2) constraint: U41(active(X1),X2) >= U41(X1,X2) constraint: U41(X1,mark(X2)) >= U41(X1,X2) constraint: U41(X1,active(X2)) >= U41(X1,X2) constraint: U51(mark(X)) >= U51(X) constraint: U51(active(X)) >= U51(X) constraint: U62(mark(X)) >= U62(X) constraint: U62(active(X)) >= U62(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: U72(mark(X1),X2) >= U72(X1,X2) constraint: U72(active(X1),X2) >= U72(X1,X2) constraint: U72(X1,mark(X2)) >= U72(X1,X2) constraint: U72(X1,active(X2)) >= U72(X1,X2) constraint: U71(mark(X1),X2) >= U71(X1,X2) constraint: U71(active(X1),X2) >= U71(X1,X2) constraint: U71(X1,mark(X2)) >= U71(X1,X2) constraint: U71(X1,active(X2)) >= U71(X1,X2) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: U92(mark(X)) >= U92(X) constraint: U92(active(X)) >= U92(X) constraint: U91(mark(X1),X2) >= U91(X1,X2) constraint: U91(active(X1),X2) >= U91(X1,X2) constraint: U91(X1,mark(X2)) >= U91(X1,X2) constraint: U91(X1,active(X2)) >= U91(X1,X2) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) constraint: Marked_mark(U15(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) constraint: Marked_mark(U16(X)) >= Marked_mark(X) constraint: Marked_mark(U16(X)) >= Marked_active(U16(mark(X))) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U23(X)) >= Marked_active(U23(mark(X))) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) constraint: Marked_mark(U35(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) constraint: Marked_mark(U36(X)) >= Marked_mark(X) constraint: Marked_mark(U36(X)) >= Marked_active(U36(mark(X))) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U51(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X)) >= Marked_active(U51(mark(X))) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U62(X)) >= Marked_active(U62(mark(X))) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(U72(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) constraint: Marked_mark(U71(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(U92(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X)) >= Marked_active(U92(mark(X))) constraint: Marked_mark(U91(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) constraint: Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) constraint: Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V2)) constraint: Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1), V2)) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) constraint: Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) constraint: Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) constraint: Marked_active(x(N,s(M))) >= Marked_mark(U101(isNat(M),M,N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) constraint: Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2), V1,V2)) constraint: Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1), V1,V2)) constraint: Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2), V1,V2)) constraint: Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) constraint: Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V1,V2)) >= 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--> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) ; mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) ; mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) ; mark(U16(X)) >= active(U16(mark(X))) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) ; mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) ; mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) ; mark(U36(X)) >= active(U36(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U51(X)) >= active(U51(mark(X))) ; mark(U62(X)) >= active(U62(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) ; mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(U92(X)) >= active(U92(mark(X))) ; mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) ; mark(0) >= active(0) ; U102(mark(X1),X2,X3) >= U102(X1,X2,X3) ; U102(active(X1),X2,X3) >= U102(X1,X2,X3) ; U102(X1,mark(X2),X3) >= U102(X1,X2,X3) ; U102(X1,active(X2),X3) >= U102(X1,X2,X3) ; U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) ; U102(X1,X2,active(X3)) >= U102(X1,X2,X3) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) ; active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) ; active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ; active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) ; active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) ; active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ; active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(0)) >= mark(tt) ; active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) ; active(plus(N,0)) >= mark(U71(isNat(N),N)) ; active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) ; active(x(N,0)) >= mark(U91(isNat(N),N)) ; active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ; active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ; active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ; active(U15(tt,V2)) >= mark(U16(isNat(V2))) ; active(U16(tt)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) ; active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) ; active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) ; active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) ; active(U35(tt,V2)) >= mark(U36(isNat(V2))) ; active(U36(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) ; active(U51(tt)) >= mark(tt) ; active(U62(tt)) >= mark(tt) ; active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) ; active(U72(tt,N)) >= mark(N) ; active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) ; active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) ; active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) ; active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) ; active(U84(tt,M,N)) >= mark(s(plus(N,M))) ; active(U92(tt)) >= mark(0) ; active(U91(tt,N)) >= mark(U92(isNatKind(N))) ; U101(mark(X1),X2,X3) >= U101(X1,X2,X3) ; U101(active(X1),X2,X3) >= U101(X1,X2,X3) ; U101(X1,mark(X2),X3) >= U101(X1,X2,X3) ; U101(X1,active(X2),X3) >= U101(X1,X2,X3) ; U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) ; U101(X1,X2,active(X3)) >= U101(X1,X2,X3) ; U103(mark(X1),X2,X3) >= U103(X1,X2,X3) ; U103(active(X1),X2,X3) >= U103(X1,X2,X3) ; U103(X1,mark(X2),X3) >= U103(X1,X2,X3) ; U103(X1,active(X2),X3) >= U103(X1,X2,X3) ; U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) ; U103(X1,X2,active(X3)) >= U103(X1,X2,X3) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U104(mark(X1),X2,X3) >= U104(X1,X2,X3) ; U104(active(X1),X2,X3) >= U104(X1,X2,X3) ; U104(X1,mark(X2),X3) >= U104(X1,X2,X3) ; U104(X1,active(X2),X3) >= U104(X1,X2,X3) ; U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) ; U104(X1,X2,active(X3)) >= U104(X1,X2,X3) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ; U12(active(X1),X2,X3) >= U12(X1,X2,X3) ; U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ; U12(X1,active(X2),X3) >= U12(X1,X2,X3) ; U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ; U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X1),X2,X3) >= U13(X1,X2,X3) ; U13(active(X1),X2,X3) >= U13(X1,X2,X3) ; U13(X1,mark(X2),X3) >= U13(X1,X2,X3) ; U13(X1,active(X2),X3) >= U13(X1,X2,X3) ; U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) ; U13(X1,X2,active(X3)) >= U13(X1,X2,X3) ; U14(mark(X1),X2,X3) >= U14(X1,X2,X3) ; U14(active(X1),X2,X3) >= U14(X1,X2,X3) ; U14(X1,mark(X2),X3) >= U14(X1,X2,X3) ; U14(X1,active(X2),X3) >= U14(X1,X2,X3) ; U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) ; U14(X1,X2,active(X3)) >= U14(X1,X2,X3) ; U15(mark(X1),X2) >= U15(X1,X2) ; U15(active(X1),X2) >= U15(X1,X2) ; U15(X1,mark(X2)) >= U15(X1,X2) ; U15(X1,active(X2)) >= U15(X1,X2) ; U16(mark(X)) >= U16(X) ; U16(active(X)) >= U16(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; U32(mark(X1),X2,X3) >= U32(X1,X2,X3) ; U32(active(X1),X2,X3) >= U32(X1,X2,X3) ; U32(X1,mark(X2),X3) >= U32(X1,X2,X3) ; U32(X1,active(X2),X3) >= U32(X1,X2,X3) ; U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) ; U32(X1,X2,active(X3)) >= U32(X1,X2,X3) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X1),X2,X3) >= U33(X1,X2,X3) ; U33(active(X1),X2,X3) >= U33(X1,X2,X3) ; U33(X1,mark(X2),X3) >= U33(X1,X2,X3) ; U33(X1,active(X2),X3) >= U33(X1,X2,X3) ; U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) ; U33(X1,X2,active(X3)) >= U33(X1,X2,X3) ; U34(mark(X1),X2,X3) >= U34(X1,X2,X3) ; U34(active(X1),X2,X3) >= U34(X1,X2,X3) ; U34(X1,mark(X2),X3) >= U34(X1,X2,X3) ; U34(X1,active(X2),X3) >= U34(X1,X2,X3) ; U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) ; U34(X1,X2,active(X3)) >= U34(X1,X2,X3) ; U35(mark(X1),X2) >= U35(X1,X2) ; U35(active(X1),X2) >= U35(X1,X2) ; U35(X1,mark(X2)) >= U35(X1,X2) ; U35(X1,active(X2)) >= U35(X1,X2) ; U36(mark(X)) >= U36(X) ; U36(active(X)) >= U36(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; U51(mark(X)) >= U51(X) ; U51(active(X)) >= U51(X) ; U62(mark(X)) >= U62(X) ; U62(active(X)) >= U62(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; U72(mark(X1),X2) >= U72(X1,X2) ; U72(active(X1),X2) >= U72(X1,X2) ; U72(X1,mark(X2)) >= U72(X1,X2) ; U72(X1,active(X2)) >= U72(X1,X2) ; U71(mark(X1),X2) >= U71(X1,X2) ; U71(active(X1),X2) >= U71(X1,X2) ; U71(X1,mark(X2)) >= U71(X1,X2) ; U71(X1,active(X2)) >= U71(X1,X2) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; U92(mark(X)) >= U92(X) ; U92(active(X)) >= U92(X) ; U91(mark(X1),X2) >= U91(X1,X2) ; U91(active(X1),X2) >= U91(X1,X2) ; U91(X1,mark(X2)) >= U91(X1,X2) ; U91(X1,active(X2)) >= U91(X1,X2) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ; Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ; Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) ; Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) ; Marked_mark(U15(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) ; Marked_mark(U16(X)) >= Marked_mark(X) ; Marked_mark(U16(X)) >= Marked_active(U16(mark(X))) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) ; Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) ; Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) ; Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) ; Marked_mark(U35(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) ; Marked_mark(U36(X)) >= Marked_mark(X) ; Marked_mark(U36(X)) >= Marked_active(U36(mark(X))) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U51(X)) >= Marked_mark(X) ; Marked_mark(U51(X)) >= Marked_active(U51(mark(X))) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U62(X)) >= Marked_active(U62(mark(X))) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(U72(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) ; Marked_mark(U71(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(U92(X)) >= Marked_mark(X) ; Marked_mark(U92(X)) >= Marked_active(U92(mark(X))) ; Marked_mark(U91(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) ; Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) ; Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41(isNatKind(V1),V2)) ; Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1),V2)) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) ; Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) ; Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1),V1,V2)) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1),V1,V2)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) ; Marked_active(x(N,s(M))) >= Marked_mark(U101(isNat(M),M,N)) ; Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) ; Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2),V1,V2)) ; Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1),V1,V2)) ; Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2),V1,V2)) ; Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) ; Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2),V1,V2)) ; Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1),V1,V2)) ; Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2),V1,V2)) ; Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) ; Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) ; Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) ; Marked_active(U72(tt,N)) >= Marked_mark(N) ; Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) ; Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) ; Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) ; Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) ; Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) ; } + Disjunctions:{ { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_active(U102(mark(X1),X2,X3)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_active(U101(mark(X1),X2,X3)) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_active(U103(mark(X1),X2,X3)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_active(U104(mark(X1),X2,X3)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_active(U13(mark(X1),X2,X3)) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_active(U14(mark(X1),X2,X3)) ; } { Marked_mark(U15(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U15(X1,X2)) > Marked_active(U15(mark(X1),X2)) ; } { Marked_mark(U16(X)) > Marked_mark(X) ; } { Marked_mark(U16(X)) > Marked_active(U16(mark(X))) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_active(U32(mark(X1),X2,X3)) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_active(U31(mark(X1),X2,X3)) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_active(U33(mark(X1),X2,X3)) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_active(U34(mark(X1),X2,X3)) ; } { Marked_mark(U35(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U35(X1,X2)) > Marked_active(U35(mark(X1),X2)) ; } { Marked_mark(U36(X)) > Marked_mark(X) ; } { Marked_mark(U36(X)) > Marked_active(U36(mark(X))) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_active(U42(mark(X))) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U51(X)) > Marked_mark(X) ; } { Marked_mark(U51(X)) > Marked_active(U51(mark(X))) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U62(X)) > Marked_active(U62(mark(X))) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(U72(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U72(X1,X2)) > Marked_active(U72(mark(X1),X2)) ; } { Marked_mark(U71(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U71(X1,X2)) > Marked_active(U71(mark(X1),X2)) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(U92(X)) > Marked_mark(X) ; } { Marked_mark(U92(X)) > Marked_active(U92(mark(X))) ; } { Marked_mark(U91(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2)) > Marked_active(U91(mark(X1),X2)) ; } { Marked_active(U102(tt,M,N)) > Marked_mark(U103(isNat(N),M,N)) ; } { Marked_active(isNatKind(plus(V1,V2))) > Marked_mark(U41(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(x(V1,V2))) > Marked_mark(U61(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U51(isNatKind(V1))) ; } { Marked_active(U101(tt,M,N)) > Marked_mark(U102(isNatKind(M),M,N)) ; } { Marked_active(U103(tt,M,N)) > Marked_mark(U104(isNatKind(N),M,N)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(U11(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(U31(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U104(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U81(isNat(M),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U71(isNat(N),N)) ; } { Marked_active(x(N,s(M))) > Marked_mark(U101(isNat(M),M,N)) ; } { Marked_active(x(N,0)) > Marked_mark(U91(isNat(N),N)) ; } { Marked_active(U12(tt,V1,V2)) > Marked_mark(U13(isNatKind(V2),V1,V2)) ; } { Marked_active(U11(tt,V1,V2)) > Marked_mark(U12(isNatKind(V1),V1,V2)) ; } { Marked_active(U13(tt,V1,V2)) > Marked_mark(U14(isNatKind(V2),V1,V2)) ; } { Marked_active(U14(tt,V1,V2)) > Marked_mark(U15(isNat(V1),V2)) ; } { Marked_active(U15(tt,V2)) > Marked_mark(U16(isNat(V2))) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V1,V2)) > Marked_mark(U33(isNatKind(V2),V1,V2)) ; } { Marked_active(U31(tt,V1,V2)) > Marked_mark(U32(isNatKind(V1),V1,V2)) ; } { Marked_active(U33(tt,V1,V2)) > Marked_mark(U34(isNatKind(V2),V1,V2)) ; } { Marked_active(U34(tt,V1,V2)) > Marked_mark(U35(isNat(V1),V2)) ; } { Marked_active(U35(tt,V2)) > Marked_mark(U36(isNat(V2))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatKind(V2))) ; } { Marked_active(U61(tt,V2)) > Marked_mark(U62(isNatKind(V2))) ; } { Marked_active(U72(tt,N)) > Marked_mark(N) ; } { Marked_active(U71(tt,N)) > Marked_mark(U72(isNatKind(N),N)) ; } { Marked_active(U82(tt,M,N)) > Marked_mark(U83(isNat(N),M,N)) ; } { Marked_active(U81(tt,M,N)) > Marked_mark(U82(isNatKind(M),M,N)) ; } { Marked_active(U83(tt,M,N)) > Marked_mark(U84(isNatKind(N),M,N)) ; } { Marked_active(U84(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U91(tt,N)) > Marked_mark(U92(isNatKind(N))) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) constraint: mark(tt) >= active(tt) constraint: mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) constraint: mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) constraint: mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) constraint: mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) constraint: mark(U16(X)) >= active(U16(mark(X))) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) constraint: mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) constraint: mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) constraint: mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) constraint: mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) constraint: mark(U36(X)) >= active(U36(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U51(X)) >= active(U51(mark(X))) constraint: mark(U62(X)) >= active(U62(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) constraint: mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(U92(X)) >= active(U92(mark(X))) constraint: mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: U102(mark(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(active(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(X1,mark(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,active(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) constraint: U102(X1,X2,active(X3)) >= U102(X1,X2,X3) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) constraint: active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) constraint: active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) constraint: active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) constraint: active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) constraint: active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) constraint: active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(0)) >= mark(tt) constraint: active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) constraint: active(plus(N,0)) >= mark(U71(isNat(N),N)) constraint: active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) constraint: active(x(N,0)) >= mark(U91(isNat(N),N)) constraint: active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) constraint: active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) constraint: active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) constraint: active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) constraint: active(U15(tt,V2)) >= mark(U16(isNat(V2))) constraint: active(U16(tt)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) constraint: active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) constraint: active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) constraint: active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) constraint: active(U35(tt,V2)) >= mark(U36(isNat(V2))) constraint: active(U36(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) constraint: active(U51(tt)) >= mark(tt) constraint: active(U62(tt)) >= mark(tt) constraint: active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) constraint: active(U72(tt,N)) >= mark(N) constraint: active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) constraint: active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) constraint: active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) constraint: active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) constraint: active(U84(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U92(tt)) >= mark(0) constraint: active(U91(tt,N)) >= mark(U92(isNatKind(N))) constraint: U101(mark(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(active(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(X1,mark(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,active(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) constraint: U101(X1,X2,active(X3)) >= U101(X1,X2,X3) constraint: U103(mark(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(active(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(X1,mark(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,active(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) constraint: U103(X1,X2,active(X3)) >= U103(X1,X2,X3) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U104(mark(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(active(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(X1,mark(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,active(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) constraint: U104(X1,X2,active(X3)) >= U104(X1,X2,X3) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3) constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3) constraint: U13(mark(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(active(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(X1,mark(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,active(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) constraint: U13(X1,X2,active(X3)) >= U13(X1,X2,X3) constraint: U14(mark(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(active(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(X1,mark(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,active(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) constraint: U14(X1,X2,active(X3)) >= U14(X1,X2,X3) constraint: U15(mark(X1),X2) >= U15(X1,X2) constraint: U15(active(X1),X2) >= U15(X1,X2) constraint: U15(X1,mark(X2)) >= U15(X1,X2) constraint: U15(X1,active(X2)) >= U15(X1,X2) constraint: U16(mark(X)) >= U16(X) constraint: U16(active(X)) >= U16(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: U32(mark(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(active(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(X1,mark(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,active(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) constraint: U32(X1,X2,active(X3)) >= U32(X1,X2,X3) constraint: U31(mark(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(active(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(X1,mark(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,active(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) constraint: U31(X1,X2,active(X3)) >= U31(X1,X2,X3) constraint: U33(mark(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(active(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(X1,mark(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,active(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) constraint: U33(X1,X2,active(X3)) >= U33(X1,X2,X3) constraint: U34(mark(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(active(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(X1,mark(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,active(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) constraint: U34(X1,X2,active(X3)) >= U34(X1,X2,X3) constraint: U35(mark(X1),X2) >= U35(X1,X2) constraint: U35(active(X1),X2) >= U35(X1,X2) constraint: U35(X1,mark(X2)) >= U35(X1,X2) constraint: U35(X1,active(X2)) >= U35(X1,X2) constraint: U36(mark(X)) >= U36(X) constraint: U36(active(X)) >= U36(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: U41(mark(X1),X2) >= U41(X1,X2) constraint: U41(active(X1),X2) >= U41(X1,X2) constraint: U41(X1,mark(X2)) >= U41(X1,X2) constraint: U41(X1,active(X2)) >= U41(X1,X2) constraint: U51(mark(X)) >= U51(X) constraint: U51(active(X)) >= U51(X) constraint: U62(mark(X)) >= U62(X) constraint: U62(active(X)) >= U62(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: U72(mark(X1),X2) >= U72(X1,X2) constraint: U72(active(X1),X2) >= U72(X1,X2) constraint: U72(X1,mark(X2)) >= U72(X1,X2) constraint: U72(X1,active(X2)) >= U72(X1,X2) constraint: U71(mark(X1),X2) >= U71(X1,X2) constraint: U71(active(X1),X2) >= U71(X1,X2) constraint: U71(X1,mark(X2)) >= U71(X1,X2) constraint: U71(X1,active(X2)) >= U71(X1,X2) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: U92(mark(X)) >= U92(X) constraint: U92(active(X)) >= U92(X) constraint: U91(mark(X1),X2) >= U91(X1,X2) constraint: U91(active(X1),X2) >= U91(X1,X2) constraint: U91(X1,mark(X2)) >= U91(X1,X2) constraint: U91(X1,active(X2)) >= U91(X1,X2) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) constraint: Marked_mark(U15(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) constraint: Marked_mark(U16(X)) >= Marked_mark(X) constraint: Marked_mark(U16(X)) >= Marked_active(U16(mark(X))) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) constraint: Marked_mark(U35(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) constraint: Marked_mark(U36(X)) >= Marked_mark(X) constraint: Marked_mark(U36(X)) >= Marked_active(U36(mark(X))) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U51(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X)) >= Marked_active(U51(mark(X))) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U62(X)) >= Marked_active(U62(mark(X))) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(U72(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) constraint: Marked_mark(U71(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(U92(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X)) >= Marked_active(U92(mark(X))) constraint: Marked_mark(U91(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) constraint: Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) constraint: Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V2)) constraint: Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1), V2)) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) constraint: Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) constraint: Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(x(V1,V2))) 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constraint: Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> 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--> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) ; mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) ; mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) ; mark(U16(X)) >= active(U16(mark(X))) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) ; mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) ; mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) ; mark(U36(X)) >= active(U36(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U51(X)) >= active(U51(mark(X))) ; mark(U62(X)) >= active(U62(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) ; mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(U92(X)) >= active(U92(mark(X))) ; mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) ; mark(0) >= active(0) ; U102(mark(X1),X2,X3) >= U102(X1,X2,X3) ; U102(active(X1),X2,X3) >= U102(X1,X2,X3) ; U102(X1,mark(X2),X3) >= U102(X1,X2,X3) ; U102(X1,active(X2),X3) >= U102(X1,X2,X3) ; U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) ; U102(X1,X2,active(X3)) >= U102(X1,X2,X3) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) ; active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) ; active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ; active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) ; active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) ; active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ; active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(0)) >= mark(tt) ; active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) ; active(plus(N,0)) >= mark(U71(isNat(N),N)) ; active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) ; active(x(N,0)) >= mark(U91(isNat(N),N)) ; active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ; active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ; active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ; active(U15(tt,V2)) >= mark(U16(isNat(V2))) ; active(U16(tt)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) ; active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) ; active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) ; active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) ; active(U35(tt,V2)) >= mark(U36(isNat(V2))) ; active(U36(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) ; active(U51(tt)) >= mark(tt) ; active(U62(tt)) >= mark(tt) ; active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) ; active(U72(tt,N)) >= mark(N) ; active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) ; active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) ; active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) ; active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) ; active(U84(tt,M,N)) >= mark(s(plus(N,M))) ; active(U92(tt)) >= mark(0) ; active(U91(tt,N)) >= mark(U92(isNatKind(N))) ; U101(mark(X1),X2,X3) >= U101(X1,X2,X3) ; U101(active(X1),X2,X3) >= U101(X1,X2,X3) ; U101(X1,mark(X2),X3) >= U101(X1,X2,X3) ; U101(X1,active(X2),X3) >= U101(X1,X2,X3) ; U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) ; U101(X1,X2,active(X3)) >= U101(X1,X2,X3) ; U103(mark(X1),X2,X3) >= U103(X1,X2,X3) ; U103(active(X1),X2,X3) >= U103(X1,X2,X3) ; U103(X1,mark(X2),X3) >= U103(X1,X2,X3) ; U103(X1,active(X2),X3) >= U103(X1,X2,X3) ; U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) ; U103(X1,X2,active(X3)) >= U103(X1,X2,X3) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U104(mark(X1),X2,X3) >= U104(X1,X2,X3) ; U104(active(X1),X2,X3) >= U104(X1,X2,X3) ; U104(X1,mark(X2),X3) >= U104(X1,X2,X3) ; U104(X1,active(X2),X3) >= U104(X1,X2,X3) ; U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) ; U104(X1,X2,active(X3)) >= U104(X1,X2,X3) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ; U12(active(X1),X2,X3) >= U12(X1,X2,X3) ; U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ; U12(X1,active(X2),X3) >= U12(X1,X2,X3) ; U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ; U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X1),X2,X3) >= U13(X1,X2,X3) ; U13(active(X1),X2,X3) >= U13(X1,X2,X3) ; U13(X1,mark(X2),X3) >= U13(X1,X2,X3) ; U13(X1,active(X2),X3) >= U13(X1,X2,X3) ; U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) ; U13(X1,X2,active(X3)) >= U13(X1,X2,X3) ; U14(mark(X1),X2,X3) >= U14(X1,X2,X3) ; U14(active(X1),X2,X3) >= U14(X1,X2,X3) ; U14(X1,mark(X2),X3) >= U14(X1,X2,X3) ; U14(X1,active(X2),X3) >= U14(X1,X2,X3) ; U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) ; U14(X1,X2,active(X3)) >= U14(X1,X2,X3) ; U15(mark(X1),X2) >= U15(X1,X2) ; U15(active(X1),X2) >= U15(X1,X2) ; U15(X1,mark(X2)) >= U15(X1,X2) ; U15(X1,active(X2)) >= U15(X1,X2) ; U16(mark(X)) >= U16(X) ; U16(active(X)) >= U16(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; U32(mark(X1),X2,X3) >= U32(X1,X2,X3) ; U32(active(X1),X2,X3) >= U32(X1,X2,X3) ; U32(X1,mark(X2),X3) >= U32(X1,X2,X3) ; U32(X1,active(X2),X3) >= U32(X1,X2,X3) ; U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) ; U32(X1,X2,active(X3)) >= U32(X1,X2,X3) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X1),X2,X3) >= U33(X1,X2,X3) ; U33(active(X1),X2,X3) >= U33(X1,X2,X3) ; U33(X1,mark(X2),X3) >= U33(X1,X2,X3) ; U33(X1,active(X2),X3) >= U33(X1,X2,X3) ; U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) ; U33(X1,X2,active(X3)) >= U33(X1,X2,X3) ; U34(mark(X1),X2,X3) >= U34(X1,X2,X3) ; U34(active(X1),X2,X3) >= U34(X1,X2,X3) ; U34(X1,mark(X2),X3) >= U34(X1,X2,X3) ; U34(X1,active(X2),X3) >= U34(X1,X2,X3) ; U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) ; U34(X1,X2,active(X3)) >= U34(X1,X2,X3) ; U35(mark(X1),X2) >= U35(X1,X2) ; U35(active(X1),X2) >= U35(X1,X2) ; U35(X1,mark(X2)) >= U35(X1,X2) ; U35(X1,active(X2)) >= U35(X1,X2) ; U36(mark(X)) >= U36(X) ; U36(active(X)) >= U36(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; U51(mark(X)) >= U51(X) ; U51(active(X)) >= U51(X) ; U62(mark(X)) >= U62(X) ; U62(active(X)) >= U62(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; U72(mark(X1),X2) >= U72(X1,X2) ; U72(active(X1),X2) >= U72(X1,X2) ; U72(X1,mark(X2)) >= U72(X1,X2) ; U72(X1,active(X2)) >= U72(X1,X2) ; U71(mark(X1),X2) >= U71(X1,X2) ; U71(active(X1),X2) >= U71(X1,X2) ; U71(X1,mark(X2)) >= U71(X1,X2) ; U71(X1,active(X2)) >= U71(X1,X2) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; U92(mark(X)) >= U92(X) ; U92(active(X)) >= U92(X) ; U91(mark(X1),X2) >= U91(X1,X2) ; U91(active(X1),X2) >= U91(X1,X2) ; U91(X1,mark(X2)) >= U91(X1,X2) ; U91(X1,active(X2)) >= U91(X1,X2) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ; Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ; Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) ; Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) ; Marked_mark(U15(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) ; Marked_mark(U16(X)) >= Marked_mark(X) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) ; Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) ; Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) ; Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) ; Marked_mark(U35(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) ; Marked_mark(U36(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U51(X)) >= Marked_mark(X) ; Marked_mark(U51(X)) >= Marked_active(U51(mark(X))) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U62(X)) >= Marked_active(U62(mark(X))) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(U72(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) ; Marked_mark(U71(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(U92(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) ; Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) ; Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41(isNatKind(V1),V2)) ; Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1),V2)) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) ; Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) ; Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1),V1,V2)) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1),V1,V2)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) ; Marked_active(x(N,s(M))) >= Marked_mark(U101(isNat(M),M,N)) ; Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) ; Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2),V1,V2)) ; Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1),V1,V2)) ; Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2),V1,V2)) ; Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) ; Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2),V1,V2)) ; Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1),V1,V2)) ; Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2),V1,V2)) ; Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) ; Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) ; Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) ; Marked_active(U72(tt,N)) >= Marked_mark(N) ; Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) ; Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) ; Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) ; Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) ; Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) ; } + Disjunctions:{ { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_active(U102(mark(X1),X2,X3)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_active(U101(mark(X1),X2,X3)) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_active(U103(mark(X1),X2,X3)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_active(U104(mark(X1),X2,X3)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_active(U13(mark(X1),X2,X3)) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_active(U14(mark(X1),X2,X3)) ; } { Marked_mark(U15(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U15(X1,X2)) > Marked_active(U15(mark(X1),X2)) ; } { Marked_mark(U16(X)) > Marked_mark(X) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_active(U32(mark(X1),X2,X3)) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_active(U31(mark(X1),X2,X3)) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_active(U33(mark(X1),X2,X3)) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_active(U34(mark(X1),X2,X3)) ; } { Marked_mark(U35(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U35(X1,X2)) > Marked_active(U35(mark(X1),X2)) ; } { Marked_mark(U36(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_active(U42(mark(X))) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U51(X)) > Marked_mark(X) ; } { Marked_mark(U51(X)) > Marked_active(U51(mark(X))) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U62(X)) > Marked_active(U62(mark(X))) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(U72(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U72(X1,X2)) > Marked_active(U72(mark(X1),X2)) ; } { Marked_mark(U71(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U71(X1,X2)) > Marked_active(U71(mark(X1),X2)) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(U92(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2)) > Marked_active(U91(mark(X1),X2)) ; } { Marked_active(U102(tt,M,N)) > Marked_mark(U103(isNat(N),M,N)) ; } { Marked_active(isNatKind(plus(V1,V2))) > Marked_mark(U41(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(x(V1,V2))) > Marked_mark(U61(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U51(isNatKind(V1))) ; } { Marked_active(U101(tt,M,N)) > Marked_mark(U102(isNatKind(M),M,N)) ; } { Marked_active(U103(tt,M,N)) > Marked_mark(U104(isNatKind(N),M,N)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(U11(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(U31(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U104(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U81(isNat(M),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U71(isNat(N),N)) ; } { Marked_active(x(N,s(M))) > Marked_mark(U101(isNat(M),M,N)) ; } { Marked_active(x(N,0)) > Marked_mark(U91(isNat(N),N)) ; } { Marked_active(U12(tt,V1,V2)) > Marked_mark(U13(isNatKind(V2),V1,V2)) ; } { Marked_active(U11(tt,V1,V2)) > Marked_mark(U12(isNatKind(V1),V1,V2)) ; } { Marked_active(U13(tt,V1,V2)) > Marked_mark(U14(isNatKind(V2),V1,V2)) ; } { Marked_active(U14(tt,V1,V2)) > Marked_mark(U15(isNat(V1),V2)) ; } { Marked_active(U15(tt,V2)) > Marked_mark(U16(isNat(V2))) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V1,V2)) > Marked_mark(U33(isNatKind(V2),V1,V2)) ; } { Marked_active(U31(tt,V1,V2)) > Marked_mark(U32(isNatKind(V1),V1,V2)) ; } { Marked_active(U33(tt,V1,V2)) > Marked_mark(U34(isNatKind(V2),V1,V2)) ; } { Marked_active(U34(tt,V1,V2)) > Marked_mark(U35(isNat(V1),V2)) ; } { Marked_active(U35(tt,V2)) > Marked_mark(U36(isNat(V2))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatKind(V2))) ; } { Marked_active(U61(tt,V2)) > Marked_mark(U62(isNatKind(V2))) ; } { Marked_active(U72(tt,N)) > Marked_mark(N) ; } { Marked_active(U71(tt,N)) > Marked_mark(U72(isNatKind(N),N)) ; } { Marked_active(U82(tt,M,N)) > Marked_mark(U83(isNat(N),M,N)) ; } { Marked_active(U81(tt,M,N)) > Marked_mark(U82(isNatKind(M),M,N)) ; } { Marked_active(U83(tt,M,N)) > Marked_mark(U84(isNatKind(N),M,N)) ; } { Marked_active(U84(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U91(tt,N)) > Marked_mark(U92(isNatKind(N))) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) constraint: mark(tt) >= active(tt) constraint: mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) constraint: mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) constraint: mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) constraint: mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) constraint: mark(U16(X)) >= active(U16(mark(X))) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) constraint: mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) constraint: mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) constraint: mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) constraint: mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) constraint: mark(U36(X)) >= active(U36(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U51(X)) >= active(U51(mark(X))) constraint: mark(U62(X)) >= active(U62(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) constraint: mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(U92(X)) >= active(U92(mark(X))) constraint: mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: U102(mark(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(active(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(X1,mark(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,active(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) constraint: U102(X1,X2,active(X3)) >= U102(X1,X2,X3) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) constraint: active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) constraint: active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) constraint: active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) constraint: active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) constraint: active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) constraint: active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(0)) >= mark(tt) constraint: active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) constraint: active(plus(N,0)) >= mark(U71(isNat(N),N)) constraint: active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) constraint: active(x(N,0)) >= mark(U91(isNat(N),N)) constraint: active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) constraint: active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) constraint: active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) constraint: active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) constraint: active(U15(tt,V2)) >= mark(U16(isNat(V2))) constraint: active(U16(tt)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) constraint: active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) constraint: active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) constraint: active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) constraint: active(U35(tt,V2)) >= mark(U36(isNat(V2))) constraint: active(U36(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) constraint: active(U51(tt)) >= mark(tt) constraint: active(U62(tt)) >= mark(tt) constraint: active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) constraint: active(U72(tt,N)) >= mark(N) constraint: active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) constraint: active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) constraint: active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) constraint: active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) constraint: active(U84(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U92(tt)) >= mark(0) constraint: active(U91(tt,N)) >= mark(U92(isNatKind(N))) constraint: U101(mark(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(active(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(X1,mark(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,active(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) constraint: U101(X1,X2,active(X3)) >= U101(X1,X2,X3) constraint: U103(mark(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(active(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(X1,mark(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,active(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) constraint: U103(X1,X2,active(X3)) >= U103(X1,X2,X3) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U104(mark(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(active(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(X1,mark(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,active(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) constraint: U104(X1,X2,active(X3)) >= U104(X1,X2,X3) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3) constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3) constraint: U13(mark(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(active(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(X1,mark(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,active(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) constraint: U13(X1,X2,active(X3)) >= U13(X1,X2,X3) constraint: U14(mark(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(active(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(X1,mark(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,active(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) constraint: U14(X1,X2,active(X3)) >= U14(X1,X2,X3) constraint: U15(mark(X1),X2) >= U15(X1,X2) constraint: U15(active(X1),X2) >= U15(X1,X2) constraint: U15(X1,mark(X2)) >= U15(X1,X2) constraint: U15(X1,active(X2)) >= U15(X1,X2) constraint: U16(mark(X)) >= U16(X) constraint: U16(active(X)) >= U16(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: U32(mark(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(active(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(X1,mark(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,active(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) constraint: U32(X1,X2,active(X3)) >= U32(X1,X2,X3) constraint: U31(mark(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(active(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(X1,mark(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,active(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) constraint: U31(X1,X2,active(X3)) >= U31(X1,X2,X3) constraint: U33(mark(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(active(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(X1,mark(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,active(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) constraint: U33(X1,X2,active(X3)) >= U33(X1,X2,X3) constraint: U34(mark(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(active(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(X1,mark(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,active(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) constraint: U34(X1,X2,active(X3)) >= U34(X1,X2,X3) constraint: U35(mark(X1),X2) >= U35(X1,X2) constraint: U35(active(X1),X2) >= U35(X1,X2) constraint: U35(X1,mark(X2)) >= U35(X1,X2) constraint: U35(X1,active(X2)) >= U35(X1,X2) constraint: U36(mark(X)) >= U36(X) constraint: U36(active(X)) >= U36(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: U41(mark(X1),X2) >= U41(X1,X2) constraint: U41(active(X1),X2) >= U41(X1,X2) constraint: U41(X1,mark(X2)) >= U41(X1,X2) constraint: U41(X1,active(X2)) >= U41(X1,X2) constraint: U51(mark(X)) >= U51(X) constraint: U51(active(X)) >= U51(X) constraint: U62(mark(X)) >= U62(X) constraint: U62(active(X)) >= U62(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: U72(mark(X1),X2) >= U72(X1,X2) constraint: U72(active(X1),X2) >= U72(X1,X2) constraint: U72(X1,mark(X2)) >= U72(X1,X2) constraint: U72(X1,active(X2)) >= U72(X1,X2) constraint: U71(mark(X1),X2) >= U71(X1,X2) constraint: U71(active(X1),X2) >= U71(X1,X2) constraint: U71(X1,mark(X2)) >= U71(X1,X2) constraint: U71(X1,active(X2)) >= U71(X1,X2) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: U92(mark(X)) >= U92(X) constraint: U92(active(X)) >= U92(X) constraint: U91(mark(X1),X2) >= U91(X1,X2) constraint: U91(active(X1),X2) >= U91(X1,X2) constraint: U91(X1,mark(X2)) >= U91(X1,X2) constraint: U91(X1,active(X2)) >= U91(X1,X2) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) constraint: Marked_mark(U15(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) constraint: Marked_mark(U16(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) constraint: Marked_mark(U35(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) constraint: Marked_mark(U36(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_active(U42(mark(X))) constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U51(X)) >= Marked_mark(X) constraint: Marked_mark(U51(X)) >= Marked_active(U51(mark(X))) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U62(X)) >= Marked_active(U62(mark(X))) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(U72(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) constraint: Marked_mark(U71(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(U92(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) constraint: Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) constraint: Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V2)) constraint: Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1), V2)) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) constraint: Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) constraint: Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) constraint: Marked_active(x(N,s(M))) >= Marked_mark(U101(isNat(M),M,N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) constraint: Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2), V1,V2)) constraint: Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1), V1,V2)) constraint: Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2), V1,V2)) constraint: Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) constraint: Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2), V1,V2)) constraint: Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1), V1,V2)) constraint: Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2), V1,V2)) constraint: Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) constraint: Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) constraint: Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) constraint: Marked_active(U72(tt,N)) >= Marked_mark(N) constraint: Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) constraint: Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) constraint: Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) constraint: Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) constraint: Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) ; mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) ; mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) ; mark(U16(X)) >= active(U16(mark(X))) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) ; mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) ; mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) ; mark(U36(X)) >= active(U36(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U51(X)) >= active(U51(mark(X))) ; mark(U62(X)) >= active(U62(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) ; mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(U92(X)) >= active(U92(mark(X))) ; mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) ; mark(0) >= active(0) ; U102(mark(X1),X2,X3) >= U102(X1,X2,X3) ; U102(active(X1),X2,X3) >= U102(X1,X2,X3) ; U102(X1,mark(X2),X3) >= U102(X1,X2,X3) ; U102(X1,active(X2),X3) >= U102(X1,X2,X3) ; U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) ; U102(X1,X2,active(X3)) >= U102(X1,X2,X3) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) ; active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) ; active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ; active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) ; active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) ; active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ; active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(0)) >= mark(tt) ; active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) ; active(plus(N,0)) >= mark(U71(isNat(N),N)) ; active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) ; active(x(N,0)) >= mark(U91(isNat(N),N)) ; active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ; active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ; active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ; active(U15(tt,V2)) >= mark(U16(isNat(V2))) ; active(U16(tt)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) ; active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) ; active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) ; active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) ; active(U35(tt,V2)) >= mark(U36(isNat(V2))) ; active(U36(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) ; active(U51(tt)) >= mark(tt) ; active(U62(tt)) >= mark(tt) ; active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) ; active(U72(tt,N)) >= mark(N) ; active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) ; active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) ; active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) ; active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) ; active(U84(tt,M,N)) >= mark(s(plus(N,M))) ; active(U92(tt)) >= mark(0) ; active(U91(tt,N)) >= mark(U92(isNatKind(N))) ; U101(mark(X1),X2,X3) >= U101(X1,X2,X3) ; U101(active(X1),X2,X3) >= U101(X1,X2,X3) ; U101(X1,mark(X2),X3) >= U101(X1,X2,X3) ; U101(X1,active(X2),X3) >= U101(X1,X2,X3) ; U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) ; U101(X1,X2,active(X3)) >= U101(X1,X2,X3) ; U103(mark(X1),X2,X3) >= U103(X1,X2,X3) ; U103(active(X1),X2,X3) >= U103(X1,X2,X3) ; U103(X1,mark(X2),X3) >= U103(X1,X2,X3) ; U103(X1,active(X2),X3) >= U103(X1,X2,X3) ; U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) ; U103(X1,X2,active(X3)) >= U103(X1,X2,X3) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U104(mark(X1),X2,X3) >= U104(X1,X2,X3) ; U104(active(X1),X2,X3) >= U104(X1,X2,X3) ; U104(X1,mark(X2),X3) >= U104(X1,X2,X3) ; U104(X1,active(X2),X3) >= U104(X1,X2,X3) ; U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) ; U104(X1,X2,active(X3)) >= U104(X1,X2,X3) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ; U12(active(X1),X2,X3) >= U12(X1,X2,X3) ; U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ; U12(X1,active(X2),X3) >= U12(X1,X2,X3) ; U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ; U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X1),X2,X3) >= U13(X1,X2,X3) ; U13(active(X1),X2,X3) >= U13(X1,X2,X3) ; U13(X1,mark(X2),X3) >= U13(X1,X2,X3) ; U13(X1,active(X2),X3) >= U13(X1,X2,X3) ; U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) ; U13(X1,X2,active(X3)) >= U13(X1,X2,X3) ; U14(mark(X1),X2,X3) >= U14(X1,X2,X3) ; U14(active(X1),X2,X3) >= U14(X1,X2,X3) ; U14(X1,mark(X2),X3) >= U14(X1,X2,X3) ; U14(X1,active(X2),X3) >= U14(X1,X2,X3) ; U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) ; U14(X1,X2,active(X3)) >= U14(X1,X2,X3) ; U15(mark(X1),X2) >= U15(X1,X2) ; U15(active(X1),X2) >= U15(X1,X2) ; U15(X1,mark(X2)) >= U15(X1,X2) ; U15(X1,active(X2)) >= U15(X1,X2) ; U16(mark(X)) >= U16(X) ; U16(active(X)) >= U16(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; U32(mark(X1),X2,X3) >= U32(X1,X2,X3) ; U32(active(X1),X2,X3) >= U32(X1,X2,X3) ; U32(X1,mark(X2),X3) >= U32(X1,X2,X3) ; U32(X1,active(X2),X3) >= U32(X1,X2,X3) ; U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) ; U32(X1,X2,active(X3)) >= U32(X1,X2,X3) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X1),X2,X3) >= U33(X1,X2,X3) ; U33(active(X1),X2,X3) >= U33(X1,X2,X3) ; U33(X1,mark(X2),X3) >= U33(X1,X2,X3) ; U33(X1,active(X2),X3) >= U33(X1,X2,X3) ; U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) ; U33(X1,X2,active(X3)) >= U33(X1,X2,X3) ; U34(mark(X1),X2,X3) >= U34(X1,X2,X3) ; U34(active(X1),X2,X3) >= U34(X1,X2,X3) ; U34(X1,mark(X2),X3) >= U34(X1,X2,X3) ; U34(X1,active(X2),X3) >= U34(X1,X2,X3) ; U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) ; U34(X1,X2,active(X3)) >= U34(X1,X2,X3) ; U35(mark(X1),X2) >= U35(X1,X2) ; U35(active(X1),X2) >= U35(X1,X2) ; U35(X1,mark(X2)) >= U35(X1,X2) ; U35(X1,active(X2)) >= U35(X1,X2) ; U36(mark(X)) >= U36(X) ; U36(active(X)) >= U36(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; U51(mark(X)) >= U51(X) ; U51(active(X)) >= U51(X) ; U62(mark(X)) >= U62(X) ; U62(active(X)) >= U62(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; U72(mark(X1),X2) >= U72(X1,X2) ; U72(active(X1),X2) >= U72(X1,X2) ; U72(X1,mark(X2)) >= U72(X1,X2) ; U72(X1,active(X2)) >= U72(X1,X2) ; U71(mark(X1),X2) >= U71(X1,X2) ; U71(active(X1),X2) >= U71(X1,X2) ; U71(X1,mark(X2)) >= U71(X1,X2) ; U71(X1,active(X2)) >= U71(X1,X2) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; U92(mark(X)) >= U92(X) ; U92(active(X)) >= U92(X) ; U91(mark(X1),X2) >= U91(X1,X2) ; U91(active(X1),X2) >= U91(X1,X2) ; U91(X1,mark(X2)) >= U91(X1,X2) ; U91(X1,active(X2)) >= U91(X1,X2) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ; Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ; Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) ; Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) ; Marked_mark(U15(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) ; Marked_mark(U16(X)) >= Marked_mark(X) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) ; Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) ; Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) ; Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) ; Marked_mark(U35(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) ; Marked_mark(U36(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U51(X)) >= Marked_mark(X) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(U72(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) ; Marked_mark(U71(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) ; Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(U92(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) ; Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) ; Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41(isNatKind(V1),V2)) ; Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1),V2)) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) ; Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) ; Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1),V1,V2)) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1),V1,V2)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) ; Marked_active(x(N,s(M))) >= Marked_mark(U101(isNat(M),M,N)) ; Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) ; Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2),V1,V2)) ; Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1),V1,V2)) ; Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2),V1,V2)) ; Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) ; Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2),V1,V2)) ; Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1),V1,V2)) ; Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2),V1,V2)) ; Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) ; Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) ; Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) ; Marked_active(U72(tt,N)) >= Marked_mark(N) ; Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) ; Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) ; Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) ; Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) ; Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) ; } + Disjunctions:{ { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_active(U102(mark(X1),X2,X3)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_active(U101(mark(X1),X2,X3)) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_active(U103(mark(X1),X2,X3)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_active(U104(mark(X1),X2,X3)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_active(U13(mark(X1),X2,X3)) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_active(U14(mark(X1),X2,X3)) ; } { Marked_mark(U15(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U15(X1,X2)) > Marked_active(U15(mark(X1),X2)) ; } { Marked_mark(U16(X)) > Marked_mark(X) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_active(U32(mark(X1),X2,X3)) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_active(U31(mark(X1),X2,X3)) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_active(U33(mark(X1),X2,X3)) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_active(U34(mark(X1),X2,X3)) ; } { Marked_mark(U35(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U35(X1,X2)) > Marked_active(U35(mark(X1),X2)) ; } { Marked_mark(U36(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U51(X)) > Marked_mark(X) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(U72(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U72(X1,X2)) > Marked_active(U72(mark(X1),X2)) ; } { Marked_mark(U71(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U71(X1,X2)) > Marked_active(U71(mark(X1),X2)) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(U92(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2)) > Marked_active(U91(mark(X1),X2)) ; } { Marked_active(U102(tt,M,N)) > Marked_mark(U103(isNat(N),M,N)) ; } { Marked_active(isNatKind(plus(V1,V2))) > Marked_mark(U41(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(x(V1,V2))) > Marked_mark(U61(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U51(isNatKind(V1))) ; } { Marked_active(U101(tt,M,N)) > Marked_mark(U102(isNatKind(M),M,N)) ; } { Marked_active(U103(tt,M,N)) > Marked_mark(U104(isNatKind(N),M,N)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(U11(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(U31(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U104(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U81(isNat(M),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U71(isNat(N),N)) ; } { Marked_active(x(N,s(M))) > Marked_mark(U101(isNat(M),M,N)) ; } { Marked_active(x(N,0)) > Marked_mark(U91(isNat(N),N)) ; } { Marked_active(U12(tt,V1,V2)) > Marked_mark(U13(isNatKind(V2),V1,V2)) ; } { Marked_active(U11(tt,V1,V2)) > Marked_mark(U12(isNatKind(V1),V1,V2)) ; } { Marked_active(U13(tt,V1,V2)) > Marked_mark(U14(isNatKind(V2),V1,V2)) ; } { Marked_active(U14(tt,V1,V2)) > Marked_mark(U15(isNat(V1),V2)) ; } { Marked_active(U15(tt,V2)) > Marked_mark(U16(isNat(V2))) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V1,V2)) > Marked_mark(U33(isNatKind(V2),V1,V2)) ; } { Marked_active(U31(tt,V1,V2)) > Marked_mark(U32(isNatKind(V1),V1,V2)) ; } { Marked_active(U33(tt,V1,V2)) > Marked_mark(U34(isNatKind(V2),V1,V2)) ; } { Marked_active(U34(tt,V1,V2)) > Marked_mark(U35(isNat(V1),V2)) ; } { Marked_active(U35(tt,V2)) > Marked_mark(U36(isNat(V2))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatKind(V2))) ; } { Marked_active(U61(tt,V2)) > Marked_mark(U62(isNatKind(V2))) ; } { Marked_active(U72(tt,N)) > Marked_mark(N) ; } { Marked_active(U71(tt,N)) > Marked_mark(U72(isNatKind(N),N)) ; } { Marked_active(U82(tt,M,N)) > Marked_mark(U83(isNat(N),M,N)) ; } { Marked_active(U81(tt,M,N)) > Marked_mark(U82(isNatKind(M),M,N)) ; } { Marked_active(U83(tt,M,N)) > Marked_mark(U84(isNatKind(N),M,N)) ; } { Marked_active(U84(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U91(tt,N)) > Marked_mark(U92(isNatKind(N))) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === Time out for these parameters. === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) constraint: mark(tt) >= active(tt) constraint: mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) constraint: mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) constraint: mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) constraint: mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) constraint: mark(U16(X)) >= active(U16(mark(X))) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) constraint: mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) constraint: mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) constraint: mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) constraint: mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) constraint: mark(U36(X)) >= active(U36(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U51(X)) >= active(U51(mark(X))) constraint: mark(U62(X)) >= active(U62(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) constraint: mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(U92(X)) >= active(U92(mark(X))) constraint: mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: U102(mark(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(active(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(X1,mark(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,active(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) constraint: U102(X1,X2,active(X3)) >= U102(X1,X2,X3) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) constraint: active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) constraint: active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) constraint: active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) constraint: active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) constraint: active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) constraint: active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(0)) >= mark(tt) constraint: active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) constraint: active(plus(N,0)) >= mark(U71(isNat(N),N)) constraint: active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) constraint: active(x(N,0)) >= mark(U91(isNat(N),N)) constraint: active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) constraint: active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) constraint: active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) constraint: active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) constraint: active(U15(tt,V2)) >= mark(U16(isNat(V2))) constraint: active(U16(tt)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) constraint: active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) constraint: active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) constraint: active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) constraint: active(U35(tt,V2)) >= mark(U36(isNat(V2))) constraint: active(U36(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) constraint: active(U51(tt)) >= mark(tt) constraint: active(U62(tt)) >= mark(tt) constraint: active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) constraint: active(U72(tt,N)) >= mark(N) constraint: active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) constraint: active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) constraint: active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) constraint: active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) constraint: active(U84(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U92(tt)) >= mark(0) constraint: active(U91(tt,N)) >= mark(U92(isNatKind(N))) constraint: U101(mark(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(active(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(X1,mark(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,active(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) constraint: U101(X1,X2,active(X3)) >= U101(X1,X2,X3) constraint: U103(mark(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(active(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(X1,mark(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,active(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) constraint: U103(X1,X2,active(X3)) >= U103(X1,X2,X3) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U104(mark(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(active(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(X1,mark(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,active(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) constraint: U104(X1,X2,active(X3)) >= U104(X1,X2,X3) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3) constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3) constraint: U13(mark(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(active(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(X1,mark(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,active(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) constraint: U13(X1,X2,active(X3)) >= U13(X1,X2,X3) constraint: U14(mark(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(active(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(X1,mark(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,active(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) constraint: U14(X1,X2,active(X3)) >= U14(X1,X2,X3) constraint: U15(mark(X1),X2) >= U15(X1,X2) constraint: U15(active(X1),X2) >= U15(X1,X2) constraint: U15(X1,mark(X2)) >= U15(X1,X2) constraint: U15(X1,active(X2)) >= U15(X1,X2) constraint: U16(mark(X)) >= U16(X) constraint: U16(active(X)) >= U16(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: U32(mark(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(active(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(X1,mark(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,active(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) constraint: U32(X1,X2,active(X3)) >= U32(X1,X2,X3) constraint: U31(mark(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(active(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(X1,mark(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,active(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) constraint: U31(X1,X2,active(X3)) >= U31(X1,X2,X3) constraint: U33(mark(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(active(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(X1,mark(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,active(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) constraint: U33(X1,X2,active(X3)) >= U33(X1,X2,X3) constraint: U34(mark(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(active(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(X1,mark(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,active(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) constraint: U34(X1,X2,active(X3)) >= U34(X1,X2,X3) constraint: U35(mark(X1),X2) >= U35(X1,X2) constraint: U35(active(X1),X2) >= U35(X1,X2) constraint: U35(X1,mark(X2)) >= U35(X1,X2) constraint: U35(X1,active(X2)) >= U35(X1,X2) constraint: U36(mark(X)) >= U36(X) constraint: U36(active(X)) >= U36(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: U41(mark(X1),X2) >= U41(X1,X2) constraint: U41(active(X1),X2) >= U41(X1,X2) constraint: U41(X1,mark(X2)) >= U41(X1,X2) constraint: U41(X1,active(X2)) >= U41(X1,X2) constraint: U51(mark(X)) >= U51(X) constraint: U51(active(X)) >= U51(X) constraint: U62(mark(X)) >= U62(X) constraint: U62(active(X)) >= U62(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: U72(mark(X1),X2) >= U72(X1,X2) constraint: U72(active(X1),X2) >= U72(X1,X2) constraint: U72(X1,mark(X2)) >= U72(X1,X2) constraint: U72(X1,active(X2)) >= U72(X1,X2) constraint: U71(mark(X1),X2) >= U71(X1,X2) constraint: U71(active(X1),X2) >= U71(X1,X2) constraint: U71(X1,mark(X2)) >= U71(X1,X2) constraint: U71(X1,active(X2)) >= U71(X1,X2) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: U92(mark(X)) >= U92(X) constraint: U92(active(X)) >= U92(X) constraint: U91(mark(X1),X2) >= U91(X1,X2) constraint: U91(active(X1),X2) >= U91(X1,X2) constraint: U91(X1,mark(X2)) >= U91(X1,X2) constraint: U91(X1,active(X2)) >= U91(X1,X2) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) constraint: Marked_mark(U15(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) constraint: Marked_mark(U16(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) constraint: Marked_mark(U35(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) constraint: Marked_mark(U36(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U51(X)) >= Marked_mark(X) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(U72(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) constraint: Marked_mark(U71(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(U92(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) constraint: Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) constraint: Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V2)) constraint: Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1), V2)) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) constraint: Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) constraint: Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) constraint: Marked_active(x(N,s(M))) >= Marked_mark(U101(isNat(M),M,N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) constraint: Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2), V1,V2)) constraint: Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1), V1,V2)) constraint: Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2), V1,V2)) constraint: Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) constraint: Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2), V1,V2)) constraint: Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1), V1,V2)) constraint: Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2), V1,V2)) constraint: Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) constraint: Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) constraint: Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) constraint: Marked_active(U72(tt,N)) >= Marked_mark(N) constraint: Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) constraint: Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) constraint: Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) constraint: Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) constraint: Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) ; mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) ; mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) ; mark(U16(X)) >= active(U16(mark(X))) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) ; mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) ; mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) ; mark(U36(X)) >= active(U36(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U51(X)) >= active(U51(mark(X))) ; mark(U62(X)) >= active(U62(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) ; mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(U92(X)) >= active(U92(mark(X))) ; mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) ; mark(0) >= active(0) ; U102(mark(X1),X2,X3) >= U102(X1,X2,X3) ; U102(active(X1),X2,X3) >= U102(X1,X2,X3) ; U102(X1,mark(X2),X3) >= U102(X1,X2,X3) ; U102(X1,active(X2),X3) >= U102(X1,X2,X3) ; U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) ; U102(X1,X2,active(X3)) >= U102(X1,X2,X3) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) ; active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) ; active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ; active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) ; active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) ; active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ; active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(0)) >= mark(tt) ; active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) ; active(plus(N,0)) >= mark(U71(isNat(N),N)) ; active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) ; active(x(N,0)) >= mark(U91(isNat(N),N)) ; active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ; active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ; active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ; active(U15(tt,V2)) >= mark(U16(isNat(V2))) ; active(U16(tt)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) ; active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) ; active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) ; active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) ; active(U35(tt,V2)) >= mark(U36(isNat(V2))) ; active(U36(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) ; active(U51(tt)) >= mark(tt) ; active(U62(tt)) >= mark(tt) ; active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) ; active(U72(tt,N)) >= mark(N) ; active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) ; active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) ; active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) ; active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) ; active(U84(tt,M,N)) >= mark(s(plus(N,M))) ; active(U92(tt)) >= mark(0) ; active(U91(tt,N)) >= mark(U92(isNatKind(N))) ; U101(mark(X1),X2,X3) >= U101(X1,X2,X3) ; U101(active(X1),X2,X3) >= U101(X1,X2,X3) ; U101(X1,mark(X2),X3) >= U101(X1,X2,X3) ; U101(X1,active(X2),X3) >= U101(X1,X2,X3) ; U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) ; U101(X1,X2,active(X3)) >= U101(X1,X2,X3) ; U103(mark(X1),X2,X3) >= U103(X1,X2,X3) ; U103(active(X1),X2,X3) >= U103(X1,X2,X3) ; U103(X1,mark(X2),X3) >= U103(X1,X2,X3) ; U103(X1,active(X2),X3) >= U103(X1,X2,X3) ; U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) ; U103(X1,X2,active(X3)) >= U103(X1,X2,X3) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U104(mark(X1),X2,X3) >= U104(X1,X2,X3) ; U104(active(X1),X2,X3) >= U104(X1,X2,X3) ; U104(X1,mark(X2),X3) >= U104(X1,X2,X3) ; U104(X1,active(X2),X3) >= U104(X1,X2,X3) ; U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) ; U104(X1,X2,active(X3)) >= U104(X1,X2,X3) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ; U12(active(X1),X2,X3) >= U12(X1,X2,X3) ; U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ; U12(X1,active(X2),X3) >= U12(X1,X2,X3) ; U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ; U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X1),X2,X3) >= U13(X1,X2,X3) ; U13(active(X1),X2,X3) >= U13(X1,X2,X3) ; U13(X1,mark(X2),X3) >= U13(X1,X2,X3) ; U13(X1,active(X2),X3) >= U13(X1,X2,X3) ; U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) ; U13(X1,X2,active(X3)) >= U13(X1,X2,X3) ; U14(mark(X1),X2,X3) >= U14(X1,X2,X3) ; U14(active(X1),X2,X3) >= U14(X1,X2,X3) ; U14(X1,mark(X2),X3) >= U14(X1,X2,X3) ; U14(X1,active(X2),X3) >= U14(X1,X2,X3) ; U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) ; U14(X1,X2,active(X3)) >= U14(X1,X2,X3) ; U15(mark(X1),X2) >= U15(X1,X2) ; U15(active(X1),X2) >= U15(X1,X2) ; U15(X1,mark(X2)) >= U15(X1,X2) ; U15(X1,active(X2)) >= U15(X1,X2) ; U16(mark(X)) >= U16(X) ; U16(active(X)) >= U16(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; U32(mark(X1),X2,X3) >= U32(X1,X2,X3) ; U32(active(X1),X2,X3) >= U32(X1,X2,X3) ; U32(X1,mark(X2),X3) >= U32(X1,X2,X3) ; U32(X1,active(X2),X3) >= U32(X1,X2,X3) ; U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) ; U32(X1,X2,active(X3)) >= U32(X1,X2,X3) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X1),X2,X3) >= U33(X1,X2,X3) ; U33(active(X1),X2,X3) >= U33(X1,X2,X3) ; U33(X1,mark(X2),X3) >= U33(X1,X2,X3) ; U33(X1,active(X2),X3) >= U33(X1,X2,X3) ; U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) ; U33(X1,X2,active(X3)) >= U33(X1,X2,X3) ; U34(mark(X1),X2,X3) >= U34(X1,X2,X3) ; U34(active(X1),X2,X3) >= U34(X1,X2,X3) ; U34(X1,mark(X2),X3) >= U34(X1,X2,X3) ; U34(X1,active(X2),X3) >= U34(X1,X2,X3) ; U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) ; U34(X1,X2,active(X3)) >= U34(X1,X2,X3) ; U35(mark(X1),X2) >= U35(X1,X2) ; U35(active(X1),X2) >= U35(X1,X2) ; U35(X1,mark(X2)) >= U35(X1,X2) ; U35(X1,active(X2)) >= U35(X1,X2) ; U36(mark(X)) >= U36(X) ; U36(active(X)) >= U36(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; U51(mark(X)) >= U51(X) ; U51(active(X)) >= U51(X) ; U62(mark(X)) >= U62(X) ; U62(active(X)) >= U62(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; U72(mark(X1),X2) >= U72(X1,X2) ; U72(active(X1),X2) >= U72(X1,X2) ; U72(X1,mark(X2)) >= U72(X1,X2) ; U72(X1,active(X2)) >= U72(X1,X2) ; U71(mark(X1),X2) >= U71(X1,X2) ; U71(active(X1),X2) >= U71(X1,X2) ; U71(X1,mark(X2)) >= U71(X1,X2) ; U71(X1,active(X2)) >= U71(X1,X2) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; U92(mark(X)) >= U92(X) ; U92(active(X)) >= U92(X) ; U91(mark(X1),X2) >= U91(X1,X2) ; U91(active(X1),X2) >= U91(X1,X2) ; U91(X1,mark(X2)) >= U91(X1,X2) ; U91(X1,active(X2)) >= U91(X1,X2) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ; Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ; Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) ; Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) ; Marked_mark(U15(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) ; Marked_mark(U16(X)) >= Marked_mark(X) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) ; Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) ; Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) ; Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) ; Marked_mark(U35(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) ; Marked_mark(U36(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U51(X)) >= Marked_mark(X) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(U72(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) ; Marked_mark(U71(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U92(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) ; Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) ; Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41(isNatKind(V1),V2)) ; Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1),V2)) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) ; Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) ; Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1),V1,V2)) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1),V1,V2)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) ; Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) ; Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2),V1,V2)) ; Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1),V1,V2)) ; Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2),V1,V2)) ; Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) ; Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2),V1,V2)) ; Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1),V1,V2)) ; Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2),V1,V2)) ; Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) ; Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) ; Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) ; Marked_active(U72(tt,N)) >= Marked_mark(N) ; Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) ; Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) ; Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) ; Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) ; Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) ; } + Disjunctions:{ { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_active(U102(mark(X1),X2,X3)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_active(U101(mark(X1),X2,X3)) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_active(U103(mark(X1),X2,X3)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_active(U104(mark(X1),X2,X3)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_active(U13(mark(X1),X2,X3)) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_active(U14(mark(X1),X2,X3)) ; } { Marked_mark(U15(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U15(X1,X2)) > Marked_active(U15(mark(X1),X2)) ; } { Marked_mark(U16(X)) > Marked_mark(X) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_active(U32(mark(X1),X2,X3)) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_active(U31(mark(X1),X2,X3)) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_active(U33(mark(X1),X2,X3)) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_active(U34(mark(X1),X2,X3)) ; } { Marked_mark(U35(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U35(X1,X2)) > Marked_active(U35(mark(X1),X2)) ; } { Marked_mark(U36(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U51(X)) > Marked_mark(X) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(U72(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U72(X1,X2)) > Marked_active(U72(mark(X1),X2)) ; } { Marked_mark(U71(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U71(X1,X2)) > Marked_active(U71(mark(X1),X2)) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U92(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2)) > Marked_active(U91(mark(X1),X2)) ; } { Marked_active(U102(tt,M,N)) > Marked_mark(U103(isNat(N),M,N)) ; } { Marked_active(isNatKind(plus(V1,V2))) > Marked_mark(U41(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(x(V1,V2))) > Marked_mark(U61(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U51(isNatKind(V1))) ; } { Marked_active(U101(tt,M,N)) > Marked_mark(U102(isNatKind(M),M,N)) ; } { Marked_active(U103(tt,M,N)) > Marked_mark(U104(isNatKind(N),M,N)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(U11(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(U31(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U104(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U81(isNat(M),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U71(isNat(N),N)) ; } { Marked_active(x(N,0)) > Marked_mark(U91(isNat(N),N)) ; } { Marked_active(U12(tt,V1,V2)) > Marked_mark(U13(isNatKind(V2),V1,V2)) ; } { Marked_active(U11(tt,V1,V2)) > Marked_mark(U12(isNatKind(V1),V1,V2)) ; } { Marked_active(U13(tt,V1,V2)) > Marked_mark(U14(isNatKind(V2),V1,V2)) ; } { Marked_active(U14(tt,V1,V2)) > Marked_mark(U15(isNat(V1),V2)) ; } { Marked_active(U15(tt,V2)) > Marked_mark(U16(isNat(V2))) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V1,V2)) > Marked_mark(U33(isNatKind(V2),V1,V2)) ; } { Marked_active(U31(tt,V1,V2)) > Marked_mark(U32(isNatKind(V1),V1,V2)) ; } { Marked_active(U33(tt,V1,V2)) > Marked_mark(U34(isNatKind(V2),V1,V2)) ; } { Marked_active(U34(tt,V1,V2)) > Marked_mark(U35(isNat(V1),V2)) ; } { Marked_active(U35(tt,V2)) > Marked_mark(U36(isNat(V2))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatKind(V2))) ; } { Marked_active(U61(tt,V2)) > Marked_mark(U62(isNatKind(V2))) ; } { Marked_active(U72(tt,N)) > Marked_mark(N) ; } { Marked_active(U71(tt,N)) > Marked_mark(U72(isNatKind(N),N)) ; } { Marked_active(U82(tt,M,N)) > Marked_mark(U83(isNat(N),M,N)) ; } { Marked_active(U81(tt,M,N)) > Marked_mark(U82(isNatKind(M),M,N)) ; } { Marked_active(U83(tt,M,N)) > Marked_mark(U84(isNatKind(N),M,N)) ; } { Marked_active(U84(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U91(tt,N)) > Marked_mark(U92(isNatKind(N))) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === Time out for these parameters. === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) constraint: mark(tt) >= active(tt) constraint: mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) constraint: mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) constraint: mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) constraint: mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) constraint: mark(U16(X)) >= active(U16(mark(X))) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) constraint: mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) constraint: mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) constraint: mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) constraint: mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) constraint: mark(U36(X)) >= active(U36(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U51(X)) >= active(U51(mark(X))) constraint: mark(U62(X)) >= active(U62(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) constraint: mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(U92(X)) >= active(U92(mark(X))) constraint: mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: U102(mark(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(active(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(X1,mark(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,active(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) constraint: U102(X1,X2,active(X3)) >= U102(X1,X2,X3) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) constraint: active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) constraint: active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) constraint: active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) constraint: active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) constraint: active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) constraint: active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(0)) >= mark(tt) constraint: active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) constraint: active(plus(N,0)) >= mark(U71(isNat(N),N)) constraint: active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) constraint: active(x(N,0)) >= mark(U91(isNat(N),N)) constraint: active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) constraint: active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) constraint: active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) constraint: active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) constraint: active(U15(tt,V2)) >= mark(U16(isNat(V2))) constraint: active(U16(tt)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) constraint: active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) constraint: active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) constraint: active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) constraint: active(U35(tt,V2)) >= mark(U36(isNat(V2))) constraint: active(U36(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) constraint: active(U51(tt)) >= mark(tt) constraint: active(U62(tt)) >= mark(tt) constraint: active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) constraint: active(U72(tt,N)) >= mark(N) constraint: active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) constraint: active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) constraint: active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) constraint: active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) constraint: active(U84(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U92(tt)) >= mark(0) constraint: active(U91(tt,N)) >= mark(U92(isNatKind(N))) constraint: U101(mark(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(active(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(X1,mark(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,active(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) constraint: U101(X1,X2,active(X3)) >= U101(X1,X2,X3) constraint: U103(mark(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(active(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(X1,mark(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,active(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) constraint: U103(X1,X2,active(X3)) >= U103(X1,X2,X3) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U104(mark(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(active(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(X1,mark(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,active(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) constraint: U104(X1,X2,active(X3)) >= U104(X1,X2,X3) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3) constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3) constraint: U13(mark(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(active(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(X1,mark(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,active(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) constraint: U13(X1,X2,active(X3)) >= U13(X1,X2,X3) constraint: U14(mark(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(active(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(X1,mark(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,active(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) constraint: U14(X1,X2,active(X3)) >= U14(X1,X2,X3) constraint: U15(mark(X1),X2) >= U15(X1,X2) constraint: U15(active(X1),X2) >= U15(X1,X2) constraint: U15(X1,mark(X2)) >= U15(X1,X2) constraint: U15(X1,active(X2)) >= U15(X1,X2) constraint: U16(mark(X)) >= U16(X) constraint: U16(active(X)) >= U16(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: U32(mark(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(active(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(X1,mark(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,active(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) constraint: U32(X1,X2,active(X3)) >= U32(X1,X2,X3) constraint: U31(mark(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(active(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(X1,mark(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,active(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) constraint: U31(X1,X2,active(X3)) >= U31(X1,X2,X3) constraint: U33(mark(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(active(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(X1,mark(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,active(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) constraint: U33(X1,X2,active(X3)) >= U33(X1,X2,X3) constraint: U34(mark(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(active(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(X1,mark(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,active(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) constraint: U34(X1,X2,active(X3)) >= U34(X1,X2,X3) constraint: U35(mark(X1),X2) >= U35(X1,X2) constraint: U35(active(X1),X2) >= U35(X1,X2) constraint: U35(X1,mark(X2)) >= U35(X1,X2) constraint: U35(X1,active(X2)) >= U35(X1,X2) constraint: U36(mark(X)) >= U36(X) constraint: U36(active(X)) >= U36(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: U41(mark(X1),X2) >= U41(X1,X2) constraint: U41(active(X1),X2) >= U41(X1,X2) constraint: U41(X1,mark(X2)) >= U41(X1,X2) constraint: U41(X1,active(X2)) >= U41(X1,X2) constraint: U51(mark(X)) >= U51(X) constraint: U51(active(X)) >= U51(X) constraint: U62(mark(X)) >= U62(X) constraint: U62(active(X)) >= U62(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: U72(mark(X1),X2) >= U72(X1,X2) constraint: U72(active(X1),X2) >= U72(X1,X2) constraint: U72(X1,mark(X2)) >= U72(X1,X2) constraint: U72(X1,active(X2)) >= U72(X1,X2) constraint: U71(mark(X1),X2) >= U71(X1,X2) constraint: U71(active(X1),X2) >= U71(X1,X2) constraint: U71(X1,mark(X2)) >= U71(X1,X2) constraint: U71(X1,active(X2)) >= U71(X1,X2) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: U92(mark(X)) >= U92(X) constraint: U92(active(X)) >= U92(X) constraint: U91(mark(X1),X2) >= U91(X1,X2) constraint: U91(active(X1),X2) >= U91(X1,X2) constraint: U91(X1,mark(X2)) >= U91(X1,X2) constraint: U91(X1,active(X2)) >= U91(X1,X2) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) constraint: Marked_mark(U15(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) constraint: Marked_mark(U16(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) constraint: Marked_mark(U35(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) constraint: Marked_mark(U36(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U51(X)) >= Marked_mark(X) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(U72(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) constraint: Marked_mark(U71(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U92(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) constraint: Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) constraint: Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V2)) constraint: Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1), V2)) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) constraint: Marked_active(U101(tt,M,N)) >= Marked_mark(U102(isNatKind(M),M,N)) constraint: Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) constraint: Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2), V1,V2)) constraint: Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1), V1,V2)) constraint: Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2), V1,V2)) constraint: Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) constraint: Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2), V1,V2)) constraint: Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1), V1,V2)) constraint: Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2), V1,V2)) constraint: Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) constraint: Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) constraint: Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) constraint: Marked_active(U72(tt,N)) >= Marked_mark(N) constraint: Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) constraint: Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) constraint: Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) constraint: Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) constraint: Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) ; mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) ; mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) ; mark(U16(X)) >= active(U16(mark(X))) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) ; mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) ; mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) ; mark(U36(X)) >= active(U36(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U51(X)) >= active(U51(mark(X))) ; mark(U62(X)) >= active(U62(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) ; mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(U92(X)) >= active(U92(mark(X))) ; mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) ; mark(0) >= active(0) ; U102(mark(X1),X2,X3) >= U102(X1,X2,X3) ; U102(active(X1),X2,X3) >= U102(X1,X2,X3) ; U102(X1,mark(X2),X3) >= U102(X1,X2,X3) ; U102(X1,active(X2),X3) >= U102(X1,X2,X3) ; U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) ; U102(X1,X2,active(X3)) >= U102(X1,X2,X3) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) ; active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) ; active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ; active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) ; active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) ; active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ; active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(0)) >= mark(tt) ; active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) ; active(plus(N,0)) >= mark(U71(isNat(N),N)) ; active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) ; active(x(N,0)) >= mark(U91(isNat(N),N)) ; active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ; active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ; active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ; active(U15(tt,V2)) >= mark(U16(isNat(V2))) ; active(U16(tt)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) ; active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) ; active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) ; active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) ; active(U35(tt,V2)) >= mark(U36(isNat(V2))) ; active(U36(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) ; active(U51(tt)) >= mark(tt) ; active(U62(tt)) >= mark(tt) ; active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) ; active(U72(tt,N)) >= mark(N) ; active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) ; active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) ; active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) ; active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) ; active(U84(tt,M,N)) >= mark(s(plus(N,M))) ; active(U92(tt)) >= mark(0) ; active(U91(tt,N)) >= mark(U92(isNatKind(N))) ; U101(mark(X1),X2,X3) >= U101(X1,X2,X3) ; U101(active(X1),X2,X3) >= U101(X1,X2,X3) ; U101(X1,mark(X2),X3) >= U101(X1,X2,X3) ; U101(X1,active(X2),X3) >= U101(X1,X2,X3) ; U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) ; U101(X1,X2,active(X3)) >= U101(X1,X2,X3) ; U103(mark(X1),X2,X3) >= U103(X1,X2,X3) ; U103(active(X1),X2,X3) >= U103(X1,X2,X3) ; U103(X1,mark(X2),X3) >= U103(X1,X2,X3) ; U103(X1,active(X2),X3) >= U103(X1,X2,X3) ; U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) ; U103(X1,X2,active(X3)) >= U103(X1,X2,X3) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U104(mark(X1),X2,X3) >= U104(X1,X2,X3) ; U104(active(X1),X2,X3) >= U104(X1,X2,X3) ; U104(X1,mark(X2),X3) >= U104(X1,X2,X3) ; U104(X1,active(X2),X3) >= U104(X1,X2,X3) ; U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) ; U104(X1,X2,active(X3)) >= U104(X1,X2,X3) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ; U12(active(X1),X2,X3) >= U12(X1,X2,X3) ; U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ; U12(X1,active(X2),X3) >= U12(X1,X2,X3) ; U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ; U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X1),X2,X3) >= U13(X1,X2,X3) ; U13(active(X1),X2,X3) >= U13(X1,X2,X3) ; U13(X1,mark(X2),X3) >= U13(X1,X2,X3) ; U13(X1,active(X2),X3) >= U13(X1,X2,X3) ; U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) ; U13(X1,X2,active(X3)) >= U13(X1,X2,X3) ; U14(mark(X1),X2,X3) >= U14(X1,X2,X3) ; U14(active(X1),X2,X3) >= U14(X1,X2,X3) ; U14(X1,mark(X2),X3) >= U14(X1,X2,X3) ; U14(X1,active(X2),X3) >= U14(X1,X2,X3) ; U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) ; U14(X1,X2,active(X3)) >= U14(X1,X2,X3) ; U15(mark(X1),X2) >= U15(X1,X2) ; U15(active(X1),X2) >= U15(X1,X2) ; U15(X1,mark(X2)) >= U15(X1,X2) ; U15(X1,active(X2)) >= U15(X1,X2) ; U16(mark(X)) >= U16(X) ; U16(active(X)) >= U16(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; U32(mark(X1),X2,X3) >= U32(X1,X2,X3) ; U32(active(X1),X2,X3) >= U32(X1,X2,X3) ; U32(X1,mark(X2),X3) >= U32(X1,X2,X3) ; U32(X1,active(X2),X3) >= U32(X1,X2,X3) ; U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) ; U32(X1,X2,active(X3)) >= U32(X1,X2,X3) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X1),X2,X3) >= U33(X1,X2,X3) ; U33(active(X1),X2,X3) >= U33(X1,X2,X3) ; U33(X1,mark(X2),X3) >= U33(X1,X2,X3) ; U33(X1,active(X2),X3) >= U33(X1,X2,X3) ; U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) ; U33(X1,X2,active(X3)) >= U33(X1,X2,X3) ; U34(mark(X1),X2,X3) >= U34(X1,X2,X3) ; U34(active(X1),X2,X3) >= U34(X1,X2,X3) ; U34(X1,mark(X2),X3) >= U34(X1,X2,X3) ; U34(X1,active(X2),X3) >= U34(X1,X2,X3) ; U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) ; U34(X1,X2,active(X3)) >= U34(X1,X2,X3) ; U35(mark(X1),X2) >= U35(X1,X2) ; U35(active(X1),X2) >= U35(X1,X2) ; U35(X1,mark(X2)) >= U35(X1,X2) ; U35(X1,active(X2)) >= U35(X1,X2) ; U36(mark(X)) >= U36(X) ; U36(active(X)) >= U36(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; U51(mark(X)) >= U51(X) ; U51(active(X)) >= U51(X) ; U62(mark(X)) >= U62(X) ; U62(active(X)) >= U62(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; U72(mark(X1),X2) >= U72(X1,X2) ; U72(active(X1),X2) >= U72(X1,X2) ; U72(X1,mark(X2)) >= U72(X1,X2) ; U72(X1,active(X2)) >= U72(X1,X2) ; U71(mark(X1),X2) >= U71(X1,X2) ; U71(active(X1),X2) >= U71(X1,X2) ; U71(X1,mark(X2)) >= U71(X1,X2) ; U71(X1,active(X2)) >= U71(X1,X2) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; U92(mark(X)) >= U92(X) ; U92(active(X)) >= U92(X) ; U91(mark(X1),X2) >= U91(X1,X2) ; U91(active(X1),X2) >= U91(X1,X2) ; U91(X1,mark(X2)) >= U91(X1,X2) ; U91(X1,active(X2)) >= U91(X1,X2) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ; Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ; Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) ; Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) ; Marked_mark(U15(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) ; Marked_mark(U16(X)) >= Marked_mark(X) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) ; Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) ; Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) ; Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) ; Marked_mark(U35(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) ; Marked_mark(U36(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U51(X)) >= Marked_mark(X) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(U72(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) ; Marked_mark(U71(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U92(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) ; Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) ; Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41(isNatKind(V1),V2)) ; Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1),V2)) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) ; Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1),V1,V2)) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1),V1,V2)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) ; Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) ; Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2),V1,V2)) ; Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1),V1,V2)) ; Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2),V1,V2)) ; Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) ; Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2),V1,V2)) ; Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1),V1,V2)) ; Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2),V1,V2)) ; Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) ; Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) ; Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) ; Marked_active(U72(tt,N)) >= Marked_mark(N) ; Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) ; Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) ; Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) ; Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) ; Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) ; } + Disjunctions:{ { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_active(U102(mark(X1),X2,X3)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U101(X1,X2,X3)) > Marked_active(U101(mark(X1),X2,X3)) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_active(U103(mark(X1),X2,X3)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_active(U104(mark(X1),X2,X3)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_active(U13(mark(X1),X2,X3)) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_active(U14(mark(X1),X2,X3)) ; } { Marked_mark(U15(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U15(X1,X2)) > Marked_active(U15(mark(X1),X2)) ; } { Marked_mark(U16(X)) > Marked_mark(X) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_active(U32(mark(X1),X2,X3)) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_active(U31(mark(X1),X2,X3)) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_active(U33(mark(X1),X2,X3)) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_active(U34(mark(X1),X2,X3)) ; } { Marked_mark(U35(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U35(X1,X2)) > Marked_active(U35(mark(X1),X2)) ; } { Marked_mark(U36(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U51(X)) > Marked_mark(X) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(U72(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U72(X1,X2)) > Marked_active(U72(mark(X1),X2)) ; } { Marked_mark(U71(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U71(X1,X2)) > Marked_active(U71(mark(X1),X2)) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U92(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2)) > Marked_active(U91(mark(X1),X2)) ; } { Marked_active(U102(tt,M,N)) > Marked_mark(U103(isNat(N),M,N)) ; } { Marked_active(isNatKind(plus(V1,V2))) > Marked_mark(U41(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(x(V1,V2))) > Marked_mark(U61(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U51(isNatKind(V1))) ; } { Marked_active(U103(tt,M,N)) > Marked_mark(U104(isNatKind(N),M,N)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(U11(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(U31(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U104(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U81(isNat(M),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U71(isNat(N),N)) ; } { Marked_active(x(N,0)) > Marked_mark(U91(isNat(N),N)) ; } { Marked_active(U12(tt,V1,V2)) > Marked_mark(U13(isNatKind(V2),V1,V2)) ; } { Marked_active(U11(tt,V1,V2)) > Marked_mark(U12(isNatKind(V1),V1,V2)) ; } { Marked_active(U13(tt,V1,V2)) > Marked_mark(U14(isNatKind(V2),V1,V2)) ; } { Marked_active(U14(tt,V1,V2)) > Marked_mark(U15(isNat(V1),V2)) ; } { Marked_active(U15(tt,V2)) > Marked_mark(U16(isNat(V2))) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V1,V2)) > Marked_mark(U33(isNatKind(V2),V1,V2)) ; } { Marked_active(U31(tt,V1,V2)) > Marked_mark(U32(isNatKind(V1),V1,V2)) ; } { Marked_active(U33(tt,V1,V2)) > Marked_mark(U34(isNatKind(V2),V1,V2)) ; } { Marked_active(U34(tt,V1,V2)) > Marked_mark(U35(isNat(V1),V2)) ; } { Marked_active(U35(tt,V2)) > Marked_mark(U36(isNat(V2))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatKind(V2))) ; } { Marked_active(U61(tt,V2)) > Marked_mark(U62(isNatKind(V2))) ; } { Marked_active(U72(tt,N)) > Marked_mark(N) ; } { Marked_active(U71(tt,N)) > Marked_mark(U72(isNatKind(N),N)) ; } { Marked_active(U82(tt,M,N)) > Marked_mark(U83(isNat(N),M,N)) ; } { Marked_active(U81(tt,M,N)) > Marked_mark(U82(isNatKind(M),M,N)) ; } { Marked_active(U83(tt,M,N)) > Marked_mark(U84(isNatKind(N),M,N)) ; } { Marked_active(U84(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U91(tt,N)) > Marked_mark(U92(isNatKind(N))) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) constraint: mark(tt) >= active(tt) constraint: mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) constraint: mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) constraint: mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) constraint: mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) constraint: mark(U16(X)) >= active(U16(mark(X))) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) constraint: mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) constraint: mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) constraint: mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) constraint: mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) constraint: mark(U36(X)) >= active(U36(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U51(X)) >= active(U51(mark(X))) constraint: mark(U62(X)) >= active(U62(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) constraint: mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(U92(X)) >= active(U92(mark(X))) constraint: mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: U102(mark(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(active(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(X1,mark(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,active(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) constraint: U102(X1,X2,active(X3)) >= U102(X1,X2,X3) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) constraint: active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) constraint: active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) constraint: active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) constraint: active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) constraint: active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) constraint: active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(0)) >= mark(tt) constraint: active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) constraint: active(plus(N,0)) >= mark(U71(isNat(N),N)) constraint: active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) constraint: active(x(N,0)) >= mark(U91(isNat(N),N)) constraint: active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) constraint: active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) constraint: active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) constraint: active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) constraint: active(U15(tt,V2)) >= mark(U16(isNat(V2))) constraint: active(U16(tt)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) constraint: active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) constraint: active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) constraint: active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) constraint: active(U35(tt,V2)) >= mark(U36(isNat(V2))) constraint: active(U36(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) constraint: active(U51(tt)) >= mark(tt) constraint: active(U62(tt)) >= mark(tt) constraint: active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) constraint: active(U72(tt,N)) >= mark(N) constraint: active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) constraint: active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) constraint: active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) constraint: active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) constraint: active(U84(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U92(tt)) >= mark(0) constraint: active(U91(tt,N)) >= mark(U92(isNatKind(N))) constraint: U101(mark(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(active(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(X1,mark(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,active(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) constraint: U101(X1,X2,active(X3)) >= U101(X1,X2,X3) constraint: U103(mark(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(active(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(X1,mark(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,active(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) constraint: U103(X1,X2,active(X3)) >= U103(X1,X2,X3) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U104(mark(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(active(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(X1,mark(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,active(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) constraint: U104(X1,X2,active(X3)) >= U104(X1,X2,X3) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3) constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3) constraint: U13(mark(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(active(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(X1,mark(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,active(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) constraint: U13(X1,X2,active(X3)) >= U13(X1,X2,X3) constraint: U14(mark(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(active(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(X1,mark(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,active(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) constraint: U14(X1,X2,active(X3)) >= U14(X1,X2,X3) constraint: U15(mark(X1),X2) >= U15(X1,X2) constraint: U15(active(X1),X2) >= U15(X1,X2) constraint: U15(X1,mark(X2)) >= U15(X1,X2) constraint: U15(X1,active(X2)) >= U15(X1,X2) constraint: U16(mark(X)) >= U16(X) constraint: U16(active(X)) >= U16(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: U32(mark(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(active(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(X1,mark(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,active(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) constraint: U32(X1,X2,active(X3)) >= U32(X1,X2,X3) constraint: U31(mark(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(active(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(X1,mark(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,active(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) constraint: U31(X1,X2,active(X3)) >= U31(X1,X2,X3) constraint: U33(mark(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(active(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(X1,mark(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,active(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) constraint: U33(X1,X2,active(X3)) >= U33(X1,X2,X3) constraint: U34(mark(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(active(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(X1,mark(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,active(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) constraint: U34(X1,X2,active(X3)) >= U34(X1,X2,X3) constraint: U35(mark(X1),X2) >= U35(X1,X2) constraint: U35(active(X1),X2) >= U35(X1,X2) constraint: U35(X1,mark(X2)) >= U35(X1,X2) constraint: U35(X1,active(X2)) >= U35(X1,X2) constraint: U36(mark(X)) >= U36(X) constraint: U36(active(X)) >= U36(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: U41(mark(X1),X2) >= U41(X1,X2) constraint: U41(active(X1),X2) >= U41(X1,X2) constraint: U41(X1,mark(X2)) >= U41(X1,X2) constraint: U41(X1,active(X2)) >= U41(X1,X2) constraint: U51(mark(X)) >= U51(X) constraint: U51(active(X)) >= U51(X) constraint: U62(mark(X)) >= U62(X) constraint: U62(active(X)) >= U62(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: U72(mark(X1),X2) >= U72(X1,X2) constraint: U72(active(X1),X2) >= U72(X1,X2) constraint: U72(X1,mark(X2)) >= U72(X1,X2) constraint: U72(X1,active(X2)) >= U72(X1,X2) constraint: U71(mark(X1),X2) >= U71(X1,X2) constraint: U71(active(X1),X2) >= U71(X1,X2) constraint: U71(X1,mark(X2)) >= U71(X1,X2) constraint: U71(X1,active(X2)) >= U71(X1,X2) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: U92(mark(X)) >= U92(X) constraint: U92(active(X)) >= U92(X) constraint: U91(mark(X1),X2) >= U91(X1,X2) constraint: U91(active(X1),X2) >= U91(X1,X2) constraint: U91(X1,mark(X2)) >= U91(X1,X2) constraint: U91(X1,active(X2)) >= U91(X1,X2) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U101(X1,X2,X3)) >= Marked_active(U101(mark(X1),X2,X3)) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) constraint: Marked_mark(U15(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) constraint: Marked_mark(U16(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) constraint: Marked_mark(U35(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) constraint: Marked_mark(U36(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U51(X)) >= Marked_mark(X) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(U72(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) constraint: Marked_mark(U71(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U92(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) constraint: Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) constraint: Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V2)) constraint: Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1), V2)) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) constraint: Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) constraint: Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2), V1,V2)) constraint: Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1), V1,V2)) constraint: Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2), V1,V2)) constraint: Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) constraint: Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2), V1,V2)) constraint: Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1), V1,V2)) constraint: Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2), V1,V2)) constraint: Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) constraint: Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) constraint: Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) constraint: Marked_active(U72(tt,N)) >= Marked_mark(N) constraint: Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) constraint: Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) constraint: Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) constraint: Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) constraint: Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> 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--> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) ; mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) ; mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) ; mark(U16(X)) >= active(U16(mark(X))) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) ; mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) ; mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) ; mark(U36(X)) >= active(U36(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U51(X)) >= active(U51(mark(X))) ; mark(U62(X)) >= active(U62(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) ; mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(U92(X)) >= active(U92(mark(X))) ; mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) ; mark(0) >= active(0) ; U102(mark(X1),X2,X3) >= U102(X1,X2,X3) ; U102(active(X1),X2,X3) >= U102(X1,X2,X3) ; U102(X1,mark(X2),X3) >= U102(X1,X2,X3) ; U102(X1,active(X2),X3) >= U102(X1,X2,X3) ; U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) ; U102(X1,X2,active(X3)) >= U102(X1,X2,X3) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) ; active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) ; active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ; active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) ; active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) ; active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ; active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(0)) >= mark(tt) ; active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) ; active(plus(N,0)) >= mark(U71(isNat(N),N)) ; active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) ; active(x(N,0)) >= mark(U91(isNat(N),N)) ; active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ; active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ; active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ; active(U15(tt,V2)) >= mark(U16(isNat(V2))) ; active(U16(tt)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) ; active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) ; active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) ; active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) ; active(U35(tt,V2)) >= mark(U36(isNat(V2))) ; active(U36(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) ; active(U51(tt)) >= mark(tt) ; active(U62(tt)) >= mark(tt) ; active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) ; active(U72(tt,N)) >= mark(N) ; active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) ; active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) ; active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) ; active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) ; active(U84(tt,M,N)) >= mark(s(plus(N,M))) ; active(U92(tt)) >= mark(0) ; active(U91(tt,N)) >= mark(U92(isNatKind(N))) ; U101(mark(X1),X2,X3) >= U101(X1,X2,X3) ; U101(active(X1),X2,X3) >= U101(X1,X2,X3) ; U101(X1,mark(X2),X3) >= U101(X1,X2,X3) ; U101(X1,active(X2),X3) >= U101(X1,X2,X3) ; U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) ; U101(X1,X2,active(X3)) >= U101(X1,X2,X3) ; U103(mark(X1),X2,X3) >= U103(X1,X2,X3) ; U103(active(X1),X2,X3) >= U103(X1,X2,X3) ; U103(X1,mark(X2),X3) >= U103(X1,X2,X3) ; U103(X1,active(X2),X3) >= U103(X1,X2,X3) ; U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) ; U103(X1,X2,active(X3)) >= U103(X1,X2,X3) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U104(mark(X1),X2,X3) >= U104(X1,X2,X3) ; U104(active(X1),X2,X3) >= U104(X1,X2,X3) ; U104(X1,mark(X2),X3) >= U104(X1,X2,X3) ; U104(X1,active(X2),X3) >= U104(X1,X2,X3) ; U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) ; U104(X1,X2,active(X3)) >= U104(X1,X2,X3) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ; U12(active(X1),X2,X3) >= U12(X1,X2,X3) ; U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ; U12(X1,active(X2),X3) >= U12(X1,X2,X3) ; U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ; U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X1),X2,X3) >= U13(X1,X2,X3) ; U13(active(X1),X2,X3) >= U13(X1,X2,X3) ; U13(X1,mark(X2),X3) >= U13(X1,X2,X3) ; U13(X1,active(X2),X3) >= U13(X1,X2,X3) ; U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) ; U13(X1,X2,active(X3)) >= U13(X1,X2,X3) ; U14(mark(X1),X2,X3) >= U14(X1,X2,X3) ; U14(active(X1),X2,X3) >= U14(X1,X2,X3) ; U14(X1,mark(X2),X3) >= U14(X1,X2,X3) ; U14(X1,active(X2),X3) >= U14(X1,X2,X3) ; U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) ; U14(X1,X2,active(X3)) >= U14(X1,X2,X3) ; U15(mark(X1),X2) >= U15(X1,X2) ; U15(active(X1),X2) >= U15(X1,X2) ; U15(X1,mark(X2)) >= U15(X1,X2) ; U15(X1,active(X2)) >= U15(X1,X2) ; U16(mark(X)) >= U16(X) ; U16(active(X)) >= U16(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; U32(mark(X1),X2,X3) >= U32(X1,X2,X3) ; U32(active(X1),X2,X3) >= U32(X1,X2,X3) ; U32(X1,mark(X2),X3) >= U32(X1,X2,X3) ; U32(X1,active(X2),X3) >= U32(X1,X2,X3) ; U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) ; U32(X1,X2,active(X3)) >= U32(X1,X2,X3) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X1),X2,X3) >= U33(X1,X2,X3) ; U33(active(X1),X2,X3) >= U33(X1,X2,X3) ; U33(X1,mark(X2),X3) >= U33(X1,X2,X3) ; U33(X1,active(X2),X3) >= U33(X1,X2,X3) ; U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) ; U33(X1,X2,active(X3)) >= U33(X1,X2,X3) ; U34(mark(X1),X2,X3) >= U34(X1,X2,X3) ; U34(active(X1),X2,X3) >= U34(X1,X2,X3) ; U34(X1,mark(X2),X3) >= U34(X1,X2,X3) ; U34(X1,active(X2),X3) >= U34(X1,X2,X3) ; U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) ; U34(X1,X2,active(X3)) >= U34(X1,X2,X3) ; U35(mark(X1),X2) >= U35(X1,X2) ; U35(active(X1),X2) >= U35(X1,X2) ; U35(X1,mark(X2)) >= U35(X1,X2) ; U35(X1,active(X2)) >= U35(X1,X2) ; U36(mark(X)) >= U36(X) ; U36(active(X)) >= U36(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; U51(mark(X)) >= U51(X) ; U51(active(X)) >= U51(X) ; U62(mark(X)) >= U62(X) ; U62(active(X)) >= U62(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; U72(mark(X1),X2) >= U72(X1,X2) ; U72(active(X1),X2) >= U72(X1,X2) ; U72(X1,mark(X2)) >= U72(X1,X2) ; U72(X1,active(X2)) >= U72(X1,X2) ; U71(mark(X1),X2) >= U71(X1,X2) ; U71(active(X1),X2) >= U71(X1,X2) ; U71(X1,mark(X2)) >= U71(X1,X2) ; U71(X1,active(X2)) >= U71(X1,X2) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; U92(mark(X)) >= U92(X) ; U92(active(X)) >= U92(X) ; U91(mark(X1),X2) >= U91(X1,X2) ; U91(active(X1),X2) >= U91(X1,X2) ; U91(X1,mark(X2)) >= U91(X1,X2) ; U91(X1,active(X2)) >= U91(X1,X2) ; Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ; Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ; Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) ; Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) ; Marked_mark(U15(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) ; Marked_mark(U16(X)) >= Marked_mark(X) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) ; Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) ; Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) ; Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) ; Marked_mark(U35(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) ; Marked_mark(U36(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U51(X)) >= Marked_mark(X) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(U72(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) ; Marked_mark(U71(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U92(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) ; Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) ; Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41(isNatKind(V1),V2)) ; Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1),V2)) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) ; Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1),V1,V2)) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1),V1,V2)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) ; Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) ; Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2),V1,V2)) ; Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1),V1,V2)) ; Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2),V1,V2)) ; Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) ; Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2),V1,V2)) ; Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1),V1,V2)) ; Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2),V1,V2)) ; Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) ; Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) ; Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) ; Marked_active(U72(tt,N)) >= Marked_mark(N) ; Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) ; Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) ; Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) ; Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) ; Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) ; } + Disjunctions:{ { Marked_mark(U102(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U102(X1,X2,X3)) > Marked_active(U102(mark(X1),X2,X3)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_active(U103(mark(X1),X2,X3)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_active(U104(mark(X1),X2,X3)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_active(U13(mark(X1),X2,X3)) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_active(U14(mark(X1),X2,X3)) ; } { Marked_mark(U15(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U15(X1,X2)) > Marked_active(U15(mark(X1),X2)) ; } { Marked_mark(U16(X)) > Marked_mark(X) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_active(U32(mark(X1),X2,X3)) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_active(U31(mark(X1),X2,X3)) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_active(U33(mark(X1),X2,X3)) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_active(U34(mark(X1),X2,X3)) ; } { Marked_mark(U35(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U35(X1,X2)) > Marked_active(U35(mark(X1),X2)) ; } { Marked_mark(U36(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U51(X)) > Marked_mark(X) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(U72(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U72(X1,X2)) > Marked_active(U72(mark(X1),X2)) ; } { Marked_mark(U71(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U71(X1,X2)) > Marked_active(U71(mark(X1),X2)) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U92(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2)) > Marked_active(U91(mark(X1),X2)) ; } { Marked_active(U102(tt,M,N)) > Marked_mark(U103(isNat(N),M,N)) ; } { Marked_active(isNatKind(plus(V1,V2))) > Marked_mark(U41(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(x(V1,V2))) > Marked_mark(U61(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U51(isNatKind(V1))) ; } { Marked_active(U103(tt,M,N)) > Marked_mark(U104(isNatKind(N),M,N)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(U11(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(U31(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U104(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U81(isNat(M),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U71(isNat(N),N)) ; } { Marked_active(x(N,0)) > Marked_mark(U91(isNat(N),N)) ; } { Marked_active(U12(tt,V1,V2)) > Marked_mark(U13(isNatKind(V2),V1,V2)) ; } { Marked_active(U11(tt,V1,V2)) > Marked_mark(U12(isNatKind(V1),V1,V2)) ; } { Marked_active(U13(tt,V1,V2)) > Marked_mark(U14(isNatKind(V2),V1,V2)) ; } { Marked_active(U14(tt,V1,V2)) > Marked_mark(U15(isNat(V1),V2)) ; } { Marked_active(U15(tt,V2)) > Marked_mark(U16(isNat(V2))) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V1,V2)) > Marked_mark(U33(isNatKind(V2),V1,V2)) ; } { Marked_active(U31(tt,V1,V2)) > Marked_mark(U32(isNatKind(V1),V1,V2)) ; } { Marked_active(U33(tt,V1,V2)) > Marked_mark(U34(isNatKind(V2),V1,V2)) ; } { Marked_active(U34(tt,V1,V2)) > Marked_mark(U35(isNat(V1),V2)) ; } { Marked_active(U35(tt,V2)) > Marked_mark(U36(isNat(V2))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatKind(V2))) ; } { Marked_active(U61(tt,V2)) > Marked_mark(U62(isNatKind(V2))) ; } { Marked_active(U72(tt,N)) > Marked_mark(N) ; } { Marked_active(U71(tt,N)) > Marked_mark(U72(isNatKind(N),N)) ; } { Marked_active(U82(tt,M,N)) > Marked_mark(U83(isNat(N),M,N)) ; } { Marked_active(U81(tt,M,N)) > Marked_mark(U82(isNatKind(M),M,N)) ; } { Marked_active(U83(tt,M,N)) > Marked_mark(U84(isNatKind(N),M,N)) ; } { Marked_active(U84(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U91(tt,N)) > Marked_mark(U92(isNatKind(N))) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === Time out for these parameters. === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) constraint: mark(tt) >= active(tt) constraint: mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) constraint: mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) constraint: mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) constraint: mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) constraint: mark(U16(X)) >= active(U16(mark(X))) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) constraint: mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) constraint: mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) constraint: mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) constraint: mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) constraint: mark(U36(X)) >= active(U36(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U51(X)) >= active(U51(mark(X))) constraint: mark(U62(X)) >= active(U62(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) constraint: mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(U92(X)) >= active(U92(mark(X))) constraint: mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: U102(mark(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(active(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(X1,mark(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,active(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) constraint: U102(X1,X2,active(X3)) >= U102(X1,X2,X3) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) constraint: active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) constraint: active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) constraint: active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) constraint: active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) constraint: active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) constraint: active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(0)) >= mark(tt) constraint: active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) constraint: active(plus(N,0)) >= mark(U71(isNat(N),N)) constraint: active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) constraint: active(x(N,0)) >= mark(U91(isNat(N),N)) constraint: active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) constraint: active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) constraint: active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) constraint: active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) constraint: active(U15(tt,V2)) >= mark(U16(isNat(V2))) constraint: active(U16(tt)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) constraint: active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) constraint: active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) constraint: active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) constraint: active(U35(tt,V2)) >= mark(U36(isNat(V2))) constraint: active(U36(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) constraint: active(U51(tt)) >= mark(tt) constraint: active(U62(tt)) >= mark(tt) constraint: active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) constraint: active(U72(tt,N)) >= mark(N) constraint: active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) constraint: active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) constraint: active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) constraint: active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) constraint: active(U84(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U92(tt)) >= mark(0) constraint: active(U91(tt,N)) >= mark(U92(isNatKind(N))) constraint: U101(mark(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(active(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(X1,mark(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,active(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) constraint: U101(X1,X2,active(X3)) >= U101(X1,X2,X3) constraint: U103(mark(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(active(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(X1,mark(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,active(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) constraint: U103(X1,X2,active(X3)) >= U103(X1,X2,X3) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U104(mark(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(active(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(X1,mark(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,active(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) constraint: U104(X1,X2,active(X3)) >= U104(X1,X2,X3) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3) constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3) constraint: U13(mark(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(active(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(X1,mark(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,active(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) constraint: U13(X1,X2,active(X3)) >= U13(X1,X2,X3) constraint: U14(mark(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(active(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(X1,mark(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,active(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) constraint: U14(X1,X2,active(X3)) >= U14(X1,X2,X3) constraint: U15(mark(X1),X2) >= U15(X1,X2) constraint: U15(active(X1),X2) >= U15(X1,X2) constraint: U15(X1,mark(X2)) >= U15(X1,X2) constraint: U15(X1,active(X2)) >= U15(X1,X2) constraint: U16(mark(X)) >= U16(X) constraint: U16(active(X)) >= U16(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: U32(mark(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(active(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(X1,mark(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,active(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) constraint: U32(X1,X2,active(X3)) >= U32(X1,X2,X3) constraint: U31(mark(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(active(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(X1,mark(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,active(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) constraint: U31(X1,X2,active(X3)) >= U31(X1,X2,X3) constraint: U33(mark(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(active(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(X1,mark(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,active(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) constraint: U33(X1,X2,active(X3)) >= U33(X1,X2,X3) constraint: U34(mark(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(active(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(X1,mark(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,active(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) constraint: U34(X1,X2,active(X3)) >= U34(X1,X2,X3) constraint: U35(mark(X1),X2) >= U35(X1,X2) constraint: U35(active(X1),X2) >= U35(X1,X2) constraint: U35(X1,mark(X2)) >= U35(X1,X2) constraint: U35(X1,active(X2)) >= U35(X1,X2) constraint: U36(mark(X)) >= U36(X) constraint: U36(active(X)) >= U36(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: U41(mark(X1),X2) >= U41(X1,X2) constraint: U41(active(X1),X2) >= U41(X1,X2) constraint: U41(X1,mark(X2)) >= U41(X1,X2) constraint: U41(X1,active(X2)) >= U41(X1,X2) constraint: U51(mark(X)) >= U51(X) constraint: U51(active(X)) >= U51(X) constraint: U62(mark(X)) >= U62(X) constraint: U62(active(X)) >= U62(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: U72(mark(X1),X2) >= U72(X1,X2) constraint: U72(active(X1),X2) >= U72(X1,X2) constraint: U72(X1,mark(X2)) >= U72(X1,X2) constraint: U72(X1,active(X2)) >= U72(X1,X2) constraint: U71(mark(X1),X2) >= U71(X1,X2) constraint: U71(active(X1),X2) >= U71(X1,X2) constraint: U71(X1,mark(X2)) >= U71(X1,X2) constraint: U71(X1,active(X2)) >= U71(X1,X2) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: U92(mark(X)) >= U92(X) constraint: U92(active(X)) >= U92(X) constraint: U91(mark(X1),X2) >= U91(X1,X2) constraint: U91(active(X1),X2) >= U91(X1,X2) constraint: U91(X1,mark(X2)) >= U91(X1,X2) constraint: U91(X1,active(X2)) >= U91(X1,X2) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) constraint: Marked_mark(U15(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) constraint: Marked_mark(U16(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) constraint: Marked_mark(U35(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) constraint: Marked_mark(U36(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U51(X)) >= Marked_mark(X) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(U72(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) constraint: Marked_mark(U71(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U92(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) constraint: Marked_active(U102(tt,M,N)) >= Marked_mark(U103(isNat(N),M,N)) constraint: Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V2)) constraint: Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1), V2)) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) constraint: Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) constraint: Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2), V1,V2)) constraint: Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1), V1,V2)) constraint: Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2), V1,V2)) constraint: Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) constraint: Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2), V1,V2)) constraint: Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1), V1,V2)) constraint: Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2), V1,V2)) constraint: Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) constraint: Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) constraint: Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) constraint: Marked_active(U72(tt,N)) >= Marked_mark(N) constraint: Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) constraint: Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) constraint: Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) constraint: Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) constraint: Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) ; mark(isNatKind(X)) >= active(isNatKind(X)) ; mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) ; mark(tt) >= active(tt) ; mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) ; mark(isNat(X)) >= active(isNat(X)) ; mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) ; mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) ; mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) ; mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) ; mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) ; mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) ; mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) ; mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) ; mark(U16(X)) >= active(U16(mark(X))) ; mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) ; mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) ; mark(U23(X)) >= active(U23(mark(X))) ; mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) ; mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) ; mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) ; mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) ; mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) ; mark(U36(X)) >= active(U36(mark(X))) ; mark(U42(X)) >= active(U42(mark(X))) ; mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) ; mark(U51(X)) >= active(U51(mark(X))) ; mark(U62(X)) >= active(U62(mark(X))) ; mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) ; mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) ; mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) ; mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) ; mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) ; mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) ; mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) ; mark(s(X)) >= active(s(mark(X))) ; mark(U92(X)) >= active(U92(mark(X))) ; mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) ; mark(0) >= active(0) ; U102(mark(X1),X2,X3) >= U102(X1,X2,X3) ; U102(active(X1),X2,X3) >= U102(X1,X2,X3) ; U102(X1,mark(X2),X3) >= U102(X1,X2,X3) ; U102(X1,active(X2),X3) >= U102(X1,X2,X3) ; U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) ; U102(X1,X2,active(X3)) >= U102(X1,X2,X3) ; isNatKind(mark(X)) >= isNatKind(X) ; isNatKind(active(X)) >= isNatKind(X) ; active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) ; active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) ; active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) ; active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) ; active(isNatKind(0)) >= mark(tt) ; active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) ; active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) ; active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) ; active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) ; active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) ; active(isNat(0)) >= mark(tt) ; active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) ; active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) ; active(plus(N,0)) >= mark(U71(isNat(N),N)) ; active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) ; active(x(N,0)) >= mark(U91(isNat(N),N)) ; active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) ; active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) ; active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) ; active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) ; active(U15(tt,V2)) >= mark(U16(isNat(V2))) ; active(U16(tt)) >= mark(tt) ; active(U22(tt,V1)) >= mark(U23(isNat(V1))) ; active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) ; active(U23(tt)) >= mark(tt) ; active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) ; active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) ; active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) ; active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) ; active(U35(tt,V2)) >= mark(U36(isNat(V2))) ; active(U36(tt)) >= mark(tt) ; active(U42(tt)) >= mark(tt) ; active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) ; active(U51(tt)) >= mark(tt) ; active(U62(tt)) >= mark(tt) ; active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) ; active(U72(tt,N)) >= mark(N) ; active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) ; active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) ; active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) ; active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) ; active(U84(tt,M,N)) >= mark(s(plus(N,M))) ; active(U92(tt)) >= mark(0) ; active(U91(tt,N)) >= mark(U92(isNatKind(N))) ; U101(mark(X1),X2,X3) >= U101(X1,X2,X3) ; U101(active(X1),X2,X3) >= U101(X1,X2,X3) ; U101(X1,mark(X2),X3) >= U101(X1,X2,X3) ; U101(X1,active(X2),X3) >= U101(X1,X2,X3) ; U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) ; U101(X1,X2,active(X3)) >= U101(X1,X2,X3) ; U103(mark(X1),X2,X3) >= U103(X1,X2,X3) ; U103(active(X1),X2,X3) >= U103(X1,X2,X3) ; U103(X1,mark(X2),X3) >= U103(X1,X2,X3) ; U103(X1,active(X2),X3) >= U103(X1,X2,X3) ; U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) ; U103(X1,X2,active(X3)) >= U103(X1,X2,X3) ; isNat(mark(X)) >= isNat(X) ; isNat(active(X)) >= isNat(X) ; U104(mark(X1),X2,X3) >= U104(X1,X2,X3) ; U104(active(X1),X2,X3) >= U104(X1,X2,X3) ; U104(X1,mark(X2),X3) >= U104(X1,X2,X3) ; U104(X1,active(X2),X3) >= U104(X1,X2,X3) ; U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) ; U104(X1,X2,active(X3)) >= U104(X1,X2,X3) ; plus(mark(X1),X2) >= plus(X1,X2) ; plus(active(X1),X2) >= plus(X1,X2) ; plus(X1,mark(X2)) >= plus(X1,X2) ; plus(X1,active(X2)) >= plus(X1,X2) ; x(mark(X1),X2) >= x(X1,X2) ; x(active(X1),X2) >= x(X1,X2) ; x(X1,mark(X2)) >= x(X1,X2) ; x(X1,active(X2)) >= x(X1,X2) ; U12(mark(X1),X2,X3) >= U12(X1,X2,X3) ; U12(active(X1),X2,X3) >= U12(X1,X2,X3) ; U12(X1,mark(X2),X3) >= U12(X1,X2,X3) ; U12(X1,active(X2),X3) >= U12(X1,X2,X3) ; U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) ; U12(X1,X2,active(X3)) >= U12(X1,X2,X3) ; U11(mark(X1),X2,X3) >= U11(X1,X2,X3) ; U11(active(X1),X2,X3) >= U11(X1,X2,X3) ; U11(X1,mark(X2),X3) >= U11(X1,X2,X3) ; U11(X1,active(X2),X3) >= U11(X1,X2,X3) ; U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) ; U11(X1,X2,active(X3)) >= U11(X1,X2,X3) ; U13(mark(X1),X2,X3) >= U13(X1,X2,X3) ; U13(active(X1),X2,X3) >= U13(X1,X2,X3) ; U13(X1,mark(X2),X3) >= U13(X1,X2,X3) ; U13(X1,active(X2),X3) >= U13(X1,X2,X3) ; U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) ; U13(X1,X2,active(X3)) >= U13(X1,X2,X3) ; U14(mark(X1),X2,X3) >= U14(X1,X2,X3) ; U14(active(X1),X2,X3) >= U14(X1,X2,X3) ; U14(X1,mark(X2),X3) >= U14(X1,X2,X3) ; U14(X1,active(X2),X3) >= U14(X1,X2,X3) ; U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) ; U14(X1,X2,active(X3)) >= U14(X1,X2,X3) ; U15(mark(X1),X2) >= U15(X1,X2) ; U15(active(X1),X2) >= U15(X1,X2) ; U15(X1,mark(X2)) >= U15(X1,X2) ; U15(X1,active(X2)) >= U15(X1,X2) ; U16(mark(X)) >= U16(X) ; U16(active(X)) >= U16(X) ; U22(mark(X1),X2) >= U22(X1,X2) ; U22(active(X1),X2) >= U22(X1,X2) ; U22(X1,mark(X2)) >= U22(X1,X2) ; U22(X1,active(X2)) >= U22(X1,X2) ; U21(mark(X1),X2) >= U21(X1,X2) ; U21(active(X1),X2) >= U21(X1,X2) ; U21(X1,mark(X2)) >= U21(X1,X2) ; U21(X1,active(X2)) >= U21(X1,X2) ; U23(mark(X)) >= U23(X) ; U23(active(X)) >= U23(X) ; U32(mark(X1),X2,X3) >= U32(X1,X2,X3) ; U32(active(X1),X2,X3) >= U32(X1,X2,X3) ; U32(X1,mark(X2),X3) >= U32(X1,X2,X3) ; U32(X1,active(X2),X3) >= U32(X1,X2,X3) ; U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) ; U32(X1,X2,active(X3)) >= U32(X1,X2,X3) ; U31(mark(X1),X2,X3) >= U31(X1,X2,X3) ; U31(active(X1),X2,X3) >= U31(X1,X2,X3) ; U31(X1,mark(X2),X3) >= U31(X1,X2,X3) ; U31(X1,active(X2),X3) >= U31(X1,X2,X3) ; U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) ; U31(X1,X2,active(X3)) >= U31(X1,X2,X3) ; U33(mark(X1),X2,X3) >= U33(X1,X2,X3) ; U33(active(X1),X2,X3) >= U33(X1,X2,X3) ; U33(X1,mark(X2),X3) >= U33(X1,X2,X3) ; U33(X1,active(X2),X3) >= U33(X1,X2,X3) ; U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) ; U33(X1,X2,active(X3)) >= U33(X1,X2,X3) ; U34(mark(X1),X2,X3) >= U34(X1,X2,X3) ; U34(active(X1),X2,X3) >= U34(X1,X2,X3) ; U34(X1,mark(X2),X3) >= U34(X1,X2,X3) ; U34(X1,active(X2),X3) >= U34(X1,X2,X3) ; U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) ; U34(X1,X2,active(X3)) >= U34(X1,X2,X3) ; U35(mark(X1),X2) >= U35(X1,X2) ; U35(active(X1),X2) >= U35(X1,X2) ; U35(X1,mark(X2)) >= U35(X1,X2) ; U35(X1,active(X2)) >= U35(X1,X2) ; U36(mark(X)) >= U36(X) ; U36(active(X)) >= U36(X) ; U42(mark(X)) >= U42(X) ; U42(active(X)) >= U42(X) ; U41(mark(X1),X2) >= U41(X1,X2) ; U41(active(X1),X2) >= U41(X1,X2) ; U41(X1,mark(X2)) >= U41(X1,X2) ; U41(X1,active(X2)) >= U41(X1,X2) ; U51(mark(X)) >= U51(X) ; U51(active(X)) >= U51(X) ; U62(mark(X)) >= U62(X) ; U62(active(X)) >= U62(X) ; U61(mark(X1),X2) >= U61(X1,X2) ; U61(active(X1),X2) >= U61(X1,X2) ; U61(X1,mark(X2)) >= U61(X1,X2) ; U61(X1,active(X2)) >= U61(X1,X2) ; U72(mark(X1),X2) >= U72(X1,X2) ; U72(active(X1),X2) >= U72(X1,X2) ; U72(X1,mark(X2)) >= U72(X1,X2) ; U72(X1,active(X2)) >= U72(X1,X2) ; U71(mark(X1),X2) >= U71(X1,X2) ; U71(active(X1),X2) >= U71(X1,X2) ; U71(X1,mark(X2)) >= U71(X1,X2) ; U71(X1,active(X2)) >= U71(X1,X2) ; U82(mark(X1),X2,X3) >= U82(X1,X2,X3) ; U82(active(X1),X2,X3) >= U82(X1,X2,X3) ; U82(X1,mark(X2),X3) >= U82(X1,X2,X3) ; U82(X1,active(X2),X3) >= U82(X1,X2,X3) ; U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) ; U82(X1,X2,active(X3)) >= U82(X1,X2,X3) ; U81(mark(X1),X2,X3) >= U81(X1,X2,X3) ; U81(active(X1),X2,X3) >= U81(X1,X2,X3) ; U81(X1,mark(X2),X3) >= U81(X1,X2,X3) ; U81(X1,active(X2),X3) >= U81(X1,X2,X3) ; U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) ; U81(X1,X2,active(X3)) >= U81(X1,X2,X3) ; U83(mark(X1),X2,X3) >= U83(X1,X2,X3) ; U83(active(X1),X2,X3) >= U83(X1,X2,X3) ; U83(X1,mark(X2),X3) >= U83(X1,X2,X3) ; U83(X1,active(X2),X3) >= U83(X1,X2,X3) ; U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) ; U83(X1,X2,active(X3)) >= U83(X1,X2,X3) ; U84(mark(X1),X2,X3) >= U84(X1,X2,X3) ; U84(active(X1),X2,X3) >= U84(X1,X2,X3) ; U84(X1,mark(X2),X3) >= U84(X1,X2,X3) ; U84(X1,active(X2),X3) >= U84(X1,X2,X3) ; U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) ; U84(X1,X2,active(X3)) >= U84(X1,X2,X3) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; U92(mark(X)) >= U92(X) ; U92(active(X)) >= U92(X) ; U91(mark(X1),X2) >= U91(X1,X2) ; U91(active(X1),X2) >= U91(X1,X2) ; U91(X1,mark(X2)) >= U91(X1,X2) ; U91(X1,active(X2)) >= U91(X1,X2) ; Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) ; Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) ; Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) ; Marked_mark(isNat(X)) >= Marked_active(isNat(X)) ; Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X1) ; Marked_mark(plus(X1,X2)) >= Marked_mark(X2) ; Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) ; Marked_mark(x(X1,X2)) >= Marked_mark(X1) ; Marked_mark(x(X1,X2)) >= Marked_mark(X2) ; Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) ; Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) ; Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) ; Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) ; Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) ; Marked_mark(U15(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) ; Marked_mark(U16(X)) >= Marked_mark(X) ; Marked_mark(U22(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) ; Marked_mark(U21(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) ; Marked_mark(U23(X)) >= Marked_mark(X) ; Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) ; Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) ; Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) ; Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) ; Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) ; Marked_mark(U35(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) ; Marked_mark(U36(X)) >= Marked_mark(X) ; Marked_mark(U42(X)) >= Marked_mark(X) ; Marked_mark(U41(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) ; Marked_mark(U51(X)) >= Marked_mark(X) ; Marked_mark(U62(X)) >= Marked_mark(X) ; Marked_mark(U61(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) ; Marked_mark(U72(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) ; Marked_mark(U71(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) ; Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) ; Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) ; Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) ; Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) ; Marked_mark(U92(X)) >= Marked_mark(X) ; Marked_mark(U91(X1,X2)) >= Marked_mark(X1) ; Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) ; Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41(isNatKind(V1),V2)) ; Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1),V2)) ; Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) ; Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) ; Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1),V1,V2)) ; Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1),V1,V2)) ; Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) ; Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) ; Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) ; Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) ; Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) ; Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2),V1,V2)) ; Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1),V1,V2)) ; Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2),V1,V2)) ; Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) ; Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) ; Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) ; Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) ; Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2),V1,V2)) ; Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1),V1,V2)) ; Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2),V1,V2)) ; Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) ; Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) ; Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) ; Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) ; Marked_active(U72(tt,N)) >= Marked_mark(N) ; Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) ; Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) ; Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) ; Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) ; Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) ; Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) ; } + Disjunctions:{ { Marked_mark(U102(X1,X2,X3)) > Marked_active(U102(mark(X1),X2,X3)) ; } { Marked_mark(isNatKind(X)) > Marked_active(isNatKind(X)) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U103(X1,X2,X3)) > Marked_active(U103(mark(X1),X2,X3)) ; } { Marked_mark(isNat(X)) > Marked_active(isNat(X)) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U104(X1,X2,X3)) > Marked_active(U104(mark(X1),X2,X3)) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(plus(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(plus(X1,X2)) > Marked_active(plus(mark(X1),mark(X2))) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(x(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(x(X1,X2)) > Marked_active(x(mark(X1),mark(X2))) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U12(X1,X2,X3)) > Marked_active(U12(mark(X1),X2,X3)) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U11(X1,X2,X3)) > Marked_active(U11(mark(X1),X2,X3)) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U13(X1,X2,X3)) > Marked_active(U13(mark(X1),X2,X3)) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U14(X1,X2,X3)) > Marked_active(U14(mark(X1),X2,X3)) ; } { Marked_mark(U15(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U15(X1,X2)) > Marked_active(U15(mark(X1),X2)) ; } { Marked_mark(U16(X)) > Marked_mark(X) ; } { Marked_mark(U22(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U22(X1,X2)) > Marked_active(U22(mark(X1),X2)) ; } { Marked_mark(U21(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U21(X1,X2)) > Marked_active(U21(mark(X1),X2)) ; } { Marked_mark(U23(X)) > Marked_mark(X) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U32(X1,X2,X3)) > Marked_active(U32(mark(X1),X2,X3)) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U31(X1,X2,X3)) > Marked_active(U31(mark(X1),X2,X3)) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U33(X1,X2,X3)) > Marked_active(U33(mark(X1),X2,X3)) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_mark(X1) ; } { Marked_mark(U34(X1,X2,X3)) > Marked_active(U34(mark(X1),X2,X3)) ; } { Marked_mark(U35(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U35(X1,X2)) > Marked_active(U35(mark(X1),X2)) ; } { Marked_mark(U36(X)) > Marked_mark(X) ; } { Marked_mark(U42(X)) > Marked_mark(X) ; } { Marked_mark(U41(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U41(X1,X2)) > Marked_active(U41(mark(X1),X2)) ; } { Marked_mark(U51(X)) > Marked_mark(X) ; } { Marked_mark(U62(X)) > Marked_mark(X) ; } { Marked_mark(U61(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U61(X1,X2)) > Marked_active(U61(mark(X1),X2)) ; } { Marked_mark(U72(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U72(X1,X2)) > Marked_active(U72(mark(X1),X2)) ; } { Marked_mark(U71(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U71(X1,X2)) > Marked_active(U71(mark(X1),X2)) ; } { Marked_mark(U82(X1,X2,X3)) > Marked_active(U82(mark(X1),X2,X3)) ; } { Marked_mark(U81(X1,X2,X3)) > Marked_active(U81(mark(X1),X2,X3)) ; } { Marked_mark(U83(X1,X2,X3)) > Marked_active(U83(mark(X1),X2,X3)) ; } { Marked_mark(U84(X1,X2,X3)) > Marked_active(U84(mark(X1),X2,X3)) ; } { Marked_mark(U92(X)) > Marked_mark(X) ; } { Marked_mark(U91(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(U91(X1,X2)) > Marked_active(U91(mark(X1),X2)) ; } { Marked_active(isNatKind(plus(V1,V2))) > Marked_mark(U41(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(x(V1,V2))) > Marked_mark(U61(isNatKind(V1),V2)) ; } { Marked_active(isNatKind(s(V1))) > Marked_mark(U51(isNatKind(V1))) ; } { Marked_active(U103(tt,M,N)) > Marked_mark(U104(isNatKind(N),M,N)) ; } { Marked_active(isNat(plus(V1,V2))) > Marked_mark(U11(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(x(V1,V2))) > Marked_mark(U31(isNatKind(V1),V1,V2)) ; } { Marked_active(isNat(s(V1))) > Marked_mark(U21(isNatKind(V1),V1)) ; } { Marked_active(U104(tt,M,N)) > Marked_mark(plus(x(N,M),N)) ; } { Marked_active(plus(N,s(M))) > Marked_mark(U81(isNat(M),M,N)) ; } { Marked_active(plus(N,0)) > Marked_mark(U71(isNat(N),N)) ; } { Marked_active(x(N,0)) > Marked_mark(U91(isNat(N),N)) ; } { Marked_active(U12(tt,V1,V2)) > Marked_mark(U13(isNatKind(V2),V1,V2)) ; } { Marked_active(U11(tt,V1,V2)) > Marked_mark(U12(isNatKind(V1),V1,V2)) ; } { Marked_active(U13(tt,V1,V2)) > Marked_mark(U14(isNatKind(V2),V1,V2)) ; } { Marked_active(U14(tt,V1,V2)) > Marked_mark(U15(isNat(V1),V2)) ; } { Marked_active(U15(tt,V2)) > Marked_mark(U16(isNat(V2))) ; } { Marked_active(U22(tt,V1)) > Marked_mark(U23(isNat(V1))) ; } { Marked_active(U21(tt,V1)) > Marked_mark(U22(isNatKind(V1),V1)) ; } { Marked_active(U32(tt,V1,V2)) > Marked_mark(U33(isNatKind(V2),V1,V2)) ; } { Marked_active(U31(tt,V1,V2)) > Marked_mark(U32(isNatKind(V1),V1,V2)) ; } { Marked_active(U33(tt,V1,V2)) > Marked_mark(U34(isNatKind(V2),V1,V2)) ; } { Marked_active(U34(tt,V1,V2)) > Marked_mark(U35(isNat(V1),V2)) ; } { Marked_active(U35(tt,V2)) > Marked_mark(U36(isNat(V2))) ; } { Marked_active(U41(tt,V2)) > Marked_mark(U42(isNatKind(V2))) ; } { Marked_active(U61(tt,V2)) > Marked_mark(U62(isNatKind(V2))) ; } { Marked_active(U72(tt,N)) > Marked_mark(N) ; } { Marked_active(U71(tt,N)) > Marked_mark(U72(isNatKind(N),N)) ; } { Marked_active(U82(tt,M,N)) > Marked_mark(U83(isNat(N),M,N)) ; } { Marked_active(U81(tt,M,N)) > Marked_mark(U82(isNatKind(M),M,N)) ; } { Marked_active(U83(tt,M,N)) > Marked_mark(U84(isNatKind(N),M,N)) ; } { Marked_active(U84(tt,M,N)) > Marked_mark(s(plus(N,M))) ; } { Marked_active(U91(tt,N)) > Marked_mark(U92(isNatKind(N))) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(U102(X1,X2,X3)) >= active(U102(mark(X1),X2,X3)) constraint: mark(isNatKind(X)) >= active(isNatKind(X)) constraint: mark(U101(X1,X2,X3)) >= active(U101(mark(X1),X2,X3)) constraint: mark(tt) >= active(tt) constraint: mark(U103(X1,X2,X3)) >= active(U103(mark(X1),X2,X3)) constraint: mark(isNat(X)) >= active(isNat(X)) constraint: mark(U104(X1,X2,X3)) >= active(U104(mark(X1),X2,X3)) constraint: mark(plus(X1,X2)) >= active(plus(mark(X1),mark(X2))) constraint: mark(x(X1,X2)) >= active(x(mark(X1),mark(X2))) constraint: mark(U12(X1,X2,X3)) >= active(U12(mark(X1),X2,X3)) constraint: mark(U11(X1,X2,X3)) >= active(U11(mark(X1),X2,X3)) constraint: mark(U13(X1,X2,X3)) >= active(U13(mark(X1),X2,X3)) constraint: mark(U14(X1,X2,X3)) >= active(U14(mark(X1),X2,X3)) constraint: mark(U15(X1,X2)) >= active(U15(mark(X1),X2)) constraint: mark(U16(X)) >= active(U16(mark(X))) constraint: mark(U22(X1,X2)) >= active(U22(mark(X1),X2)) constraint: mark(U21(X1,X2)) >= active(U21(mark(X1),X2)) constraint: mark(U23(X)) >= active(U23(mark(X))) constraint: mark(U32(X1,X2,X3)) >= active(U32(mark(X1),X2,X3)) constraint: mark(U31(X1,X2,X3)) >= active(U31(mark(X1),X2,X3)) constraint: mark(U33(X1,X2,X3)) >= active(U33(mark(X1),X2,X3)) constraint: mark(U34(X1,X2,X3)) >= active(U34(mark(X1),X2,X3)) constraint: mark(U35(X1,X2)) >= active(U35(mark(X1),X2)) constraint: mark(U36(X)) >= active(U36(mark(X))) constraint: mark(U42(X)) >= active(U42(mark(X))) constraint: mark(U41(X1,X2)) >= active(U41(mark(X1),X2)) constraint: mark(U51(X)) >= active(U51(mark(X))) constraint: mark(U62(X)) >= active(U62(mark(X))) constraint: mark(U61(X1,X2)) >= active(U61(mark(X1),X2)) constraint: mark(U72(X1,X2)) >= active(U72(mark(X1),X2)) constraint: mark(U71(X1,X2)) >= active(U71(mark(X1),X2)) constraint: mark(U82(X1,X2,X3)) >= active(U82(mark(X1),X2,X3)) constraint: mark(U81(X1,X2,X3)) >= active(U81(mark(X1),X2,X3)) constraint: mark(U83(X1,X2,X3)) >= active(U83(mark(X1),X2,X3)) constraint: mark(U84(X1,X2,X3)) >= active(U84(mark(X1),X2,X3)) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(U92(X)) >= active(U92(mark(X))) constraint: mark(U91(X1,X2)) >= active(U91(mark(X1),X2)) constraint: mark(0) >= active(0) constraint: U102(mark(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(active(X1),X2,X3) >= U102(X1,X2,X3) constraint: U102(X1,mark(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,active(X2),X3) >= U102(X1,X2,X3) constraint: U102(X1,X2,mark(X3)) >= U102(X1,X2,X3) constraint: U102(X1,X2,active(X3)) >= U102(X1,X2,X3) constraint: isNatKind(mark(X)) >= isNatKind(X) constraint: isNatKind(active(X)) >= isNatKind(X) constraint: active(U102(tt,M,N)) >= mark(U103(isNat(N),M,N)) constraint: active(isNatKind(plus(V1,V2))) >= mark(U41(isNatKind(V1),V2)) constraint: active(isNatKind(x(V1,V2))) >= mark(U61(isNatKind(V1),V2)) constraint: active(isNatKind(s(V1))) >= mark(U51(isNatKind(V1))) constraint: active(isNatKind(0)) >= mark(tt) constraint: active(U101(tt,M,N)) >= mark(U102(isNatKind(M),M,N)) constraint: active(U103(tt,M,N)) >= mark(U104(isNatKind(N),M,N)) constraint: active(isNat(plus(V1,V2))) >= mark(U11(isNatKind(V1),V1,V2)) constraint: active(isNat(x(V1,V2))) >= mark(U31(isNatKind(V1),V1,V2)) constraint: active(isNat(s(V1))) >= mark(U21(isNatKind(V1),V1)) constraint: active(isNat(0)) >= mark(tt) constraint: active(U104(tt,M,N)) >= mark(plus(x(N,M),N)) constraint: active(plus(N,s(M))) >= mark(U81(isNat(M),M,N)) constraint: active(plus(N,0)) >= mark(U71(isNat(N),N)) constraint: active(x(N,s(M))) >= mark(U101(isNat(M),M,N)) constraint: active(x(N,0)) >= mark(U91(isNat(N),N)) constraint: active(U12(tt,V1,V2)) >= mark(U13(isNatKind(V2),V1,V2)) constraint: active(U11(tt,V1,V2)) >= mark(U12(isNatKind(V1),V1,V2)) constraint: active(U13(tt,V1,V2)) >= mark(U14(isNatKind(V2),V1,V2)) constraint: active(U14(tt,V1,V2)) >= mark(U15(isNat(V1),V2)) constraint: active(U15(tt,V2)) >= mark(U16(isNat(V2))) constraint: active(U16(tt)) >= mark(tt) constraint: active(U22(tt,V1)) >= mark(U23(isNat(V1))) constraint: active(U21(tt,V1)) >= mark(U22(isNatKind(V1),V1)) constraint: active(U23(tt)) >= mark(tt) constraint: active(U32(tt,V1,V2)) >= mark(U33(isNatKind(V2),V1,V2)) constraint: active(U31(tt,V1,V2)) >= mark(U32(isNatKind(V1),V1,V2)) constraint: active(U33(tt,V1,V2)) >= mark(U34(isNatKind(V2),V1,V2)) constraint: active(U34(tt,V1,V2)) >= mark(U35(isNat(V1),V2)) constraint: active(U35(tt,V2)) >= mark(U36(isNat(V2))) constraint: active(U36(tt)) >= mark(tt) constraint: active(U42(tt)) >= mark(tt) constraint: active(U41(tt,V2)) >= mark(U42(isNatKind(V2))) constraint: active(U51(tt)) >= mark(tt) constraint: active(U62(tt)) >= mark(tt) constraint: active(U61(tt,V2)) >= mark(U62(isNatKind(V2))) constraint: active(U72(tt,N)) >= mark(N) constraint: active(U71(tt,N)) >= mark(U72(isNatKind(N),N)) constraint: active(U82(tt,M,N)) >= mark(U83(isNat(N),M,N)) constraint: active(U81(tt,M,N)) >= mark(U82(isNatKind(M),M,N)) constraint: active(U83(tt,M,N)) >= mark(U84(isNatKind(N),M,N)) constraint: active(U84(tt,M,N)) >= mark(s(plus(N,M))) constraint: active(U92(tt)) >= mark(0) constraint: active(U91(tt,N)) >= mark(U92(isNatKind(N))) constraint: U101(mark(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(active(X1),X2,X3) >= U101(X1,X2,X3) constraint: U101(X1,mark(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,active(X2),X3) >= U101(X1,X2,X3) constraint: U101(X1,X2,mark(X3)) >= U101(X1,X2,X3) constraint: U101(X1,X2,active(X3)) >= U101(X1,X2,X3) constraint: U103(mark(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(active(X1),X2,X3) >= U103(X1,X2,X3) constraint: U103(X1,mark(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,active(X2),X3) >= U103(X1,X2,X3) constraint: U103(X1,X2,mark(X3)) >= U103(X1,X2,X3) constraint: U103(X1,X2,active(X3)) >= U103(X1,X2,X3) constraint: isNat(mark(X)) >= isNat(X) constraint: isNat(active(X)) >= isNat(X) constraint: U104(mark(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(active(X1),X2,X3) >= U104(X1,X2,X3) constraint: U104(X1,mark(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,active(X2),X3) >= U104(X1,X2,X3) constraint: U104(X1,X2,mark(X3)) >= U104(X1,X2,X3) constraint: U104(X1,X2,active(X3)) >= U104(X1,X2,X3) constraint: plus(mark(X1),X2) >= plus(X1,X2) constraint: plus(active(X1),X2) >= plus(X1,X2) constraint: plus(X1,mark(X2)) >= plus(X1,X2) constraint: plus(X1,active(X2)) >= plus(X1,X2) constraint: x(mark(X1),X2) >= x(X1,X2) constraint: x(active(X1),X2) >= x(X1,X2) constraint: x(X1,mark(X2)) >= x(X1,X2) constraint: x(X1,active(X2)) >= x(X1,X2) constraint: U12(mark(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(active(X1),X2,X3) >= U12(X1,X2,X3) constraint: U12(X1,mark(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,active(X2),X3) >= U12(X1,X2,X3) constraint: U12(X1,X2,mark(X3)) >= U12(X1,X2,X3) constraint: U12(X1,X2,active(X3)) >= U12(X1,X2,X3) constraint: U11(mark(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(active(X1),X2,X3) >= U11(X1,X2,X3) constraint: U11(X1,mark(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,active(X2),X3) >= U11(X1,X2,X3) constraint: U11(X1,X2,mark(X3)) >= U11(X1,X2,X3) constraint: U11(X1,X2,active(X3)) >= U11(X1,X2,X3) constraint: U13(mark(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(active(X1),X2,X3) >= U13(X1,X2,X3) constraint: U13(X1,mark(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,active(X2),X3) >= U13(X1,X2,X3) constraint: U13(X1,X2,mark(X3)) >= U13(X1,X2,X3) constraint: U13(X1,X2,active(X3)) >= U13(X1,X2,X3) constraint: U14(mark(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(active(X1),X2,X3) >= U14(X1,X2,X3) constraint: U14(X1,mark(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,active(X2),X3) >= U14(X1,X2,X3) constraint: U14(X1,X2,mark(X3)) >= U14(X1,X2,X3) constraint: U14(X1,X2,active(X3)) >= U14(X1,X2,X3) constraint: U15(mark(X1),X2) >= U15(X1,X2) constraint: U15(active(X1),X2) >= U15(X1,X2) constraint: U15(X1,mark(X2)) >= U15(X1,X2) constraint: U15(X1,active(X2)) >= U15(X1,X2) constraint: U16(mark(X)) >= U16(X) constraint: U16(active(X)) >= U16(X) constraint: U22(mark(X1),X2) >= U22(X1,X2) constraint: U22(active(X1),X2) >= U22(X1,X2) constraint: U22(X1,mark(X2)) >= U22(X1,X2) constraint: U22(X1,active(X2)) >= U22(X1,X2) constraint: U21(mark(X1),X2) >= U21(X1,X2) constraint: U21(active(X1),X2) >= U21(X1,X2) constraint: U21(X1,mark(X2)) >= U21(X1,X2) constraint: U21(X1,active(X2)) >= U21(X1,X2) constraint: U23(mark(X)) >= U23(X) constraint: U23(active(X)) >= U23(X) constraint: U32(mark(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(active(X1),X2,X3) >= U32(X1,X2,X3) constraint: U32(X1,mark(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,active(X2),X3) >= U32(X1,X2,X3) constraint: U32(X1,X2,mark(X3)) >= U32(X1,X2,X3) constraint: U32(X1,X2,active(X3)) >= U32(X1,X2,X3) constraint: U31(mark(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(active(X1),X2,X3) >= U31(X1,X2,X3) constraint: U31(X1,mark(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,active(X2),X3) >= U31(X1,X2,X3) constraint: U31(X1,X2,mark(X3)) >= U31(X1,X2,X3) constraint: U31(X1,X2,active(X3)) >= U31(X1,X2,X3) constraint: U33(mark(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(active(X1),X2,X3) >= U33(X1,X2,X3) constraint: U33(X1,mark(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,active(X2),X3) >= U33(X1,X2,X3) constraint: U33(X1,X2,mark(X3)) >= U33(X1,X2,X3) constraint: U33(X1,X2,active(X3)) >= U33(X1,X2,X3) constraint: U34(mark(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(active(X1),X2,X3) >= U34(X1,X2,X3) constraint: U34(X1,mark(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,active(X2),X3) >= U34(X1,X2,X3) constraint: U34(X1,X2,mark(X3)) >= U34(X1,X2,X3) constraint: U34(X1,X2,active(X3)) >= U34(X1,X2,X3) constraint: U35(mark(X1),X2) >= U35(X1,X2) constraint: U35(active(X1),X2) >= U35(X1,X2) constraint: U35(X1,mark(X2)) >= U35(X1,X2) constraint: U35(X1,active(X2)) >= U35(X1,X2) constraint: U36(mark(X)) >= U36(X) constraint: U36(active(X)) >= U36(X) constraint: U42(mark(X)) >= U42(X) constraint: U42(active(X)) >= U42(X) constraint: U41(mark(X1),X2) >= U41(X1,X2) constraint: U41(active(X1),X2) >= U41(X1,X2) constraint: U41(X1,mark(X2)) >= U41(X1,X2) constraint: U41(X1,active(X2)) >= U41(X1,X2) constraint: U51(mark(X)) >= U51(X) constraint: U51(active(X)) >= U51(X) constraint: U62(mark(X)) >= U62(X) constraint: U62(active(X)) >= U62(X) constraint: U61(mark(X1),X2) >= U61(X1,X2) constraint: U61(active(X1),X2) >= U61(X1,X2) constraint: U61(X1,mark(X2)) >= U61(X1,X2) constraint: U61(X1,active(X2)) >= U61(X1,X2) constraint: U72(mark(X1),X2) >= U72(X1,X2) constraint: U72(active(X1),X2) >= U72(X1,X2) constraint: U72(X1,mark(X2)) >= U72(X1,X2) constraint: U72(X1,active(X2)) >= U72(X1,X2) constraint: U71(mark(X1),X2) >= U71(X1,X2) constraint: U71(active(X1),X2) >= U71(X1,X2) constraint: U71(X1,mark(X2)) >= U71(X1,X2) constraint: U71(X1,active(X2)) >= U71(X1,X2) constraint: U82(mark(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(active(X1),X2,X3) >= U82(X1,X2,X3) constraint: U82(X1,mark(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,active(X2),X3) >= U82(X1,X2,X3) constraint: U82(X1,X2,mark(X3)) >= U82(X1,X2,X3) constraint: U82(X1,X2,active(X3)) >= U82(X1,X2,X3) constraint: U81(mark(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(active(X1),X2,X3) >= U81(X1,X2,X3) constraint: U81(X1,mark(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,active(X2),X3) >= U81(X1,X2,X3) constraint: U81(X1,X2,mark(X3)) >= U81(X1,X2,X3) constraint: U81(X1,X2,active(X3)) >= U81(X1,X2,X3) constraint: U83(mark(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(active(X1),X2,X3) >= U83(X1,X2,X3) constraint: U83(X1,mark(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,active(X2),X3) >= U83(X1,X2,X3) constraint: U83(X1,X2,mark(X3)) >= U83(X1,X2,X3) constraint: U83(X1,X2,active(X3)) >= U83(X1,X2,X3) constraint: U84(mark(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(active(X1),X2,X3) >= U84(X1,X2,X3) constraint: U84(X1,mark(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,active(X2),X3) >= U84(X1,X2,X3) constraint: U84(X1,X2,mark(X3)) >= U84(X1,X2,X3) constraint: U84(X1,X2,active(X3)) >= U84(X1,X2,X3) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: U92(mark(X)) >= U92(X) constraint: U92(active(X)) >= U92(X) constraint: U91(mark(X1),X2) >= U91(X1,X2) constraint: U91(active(X1),X2) >= U91(X1,X2) constraint: U91(X1,mark(X2)) >= U91(X1,X2) constraint: U91(X1,active(X2)) >= U91(X1,X2) constraint: Marked_mark(U102(X1,X2,X3)) >= Marked_active(U102(mark(X1),X2,X3)) constraint: Marked_mark(isNatKind(X)) >= Marked_active(isNatKind(X)) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U103(X1,X2,X3)) >= Marked_active(U103(mark(X1),X2,X3)) constraint: Marked_mark(isNat(X)) >= Marked_active(isNat(X)) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U104(X1,X2,X3)) >= Marked_active(U104(mark(X1),X2,X3)) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(plus(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(plus(X1,X2)) >= Marked_active(plus(mark(X1),mark(X2))) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(x(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(x(X1,X2)) >= Marked_active(x(mark(X1),mark(X2))) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U12(X1,X2,X3)) >= Marked_active(U12(mark(X1),X2,X3)) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U11(X1,X2,X3)) >= Marked_active(U11(mark(X1),X2,X3)) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U13(X1,X2,X3)) >= Marked_active(U13(mark(X1),X2,X3)) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U14(X1,X2,X3)) >= Marked_active(U14(mark(X1),X2,X3)) constraint: Marked_mark(U15(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U15(X1,X2)) >= Marked_active(U15(mark(X1),X2)) constraint: Marked_mark(U16(X)) >= Marked_mark(X) constraint: Marked_mark(U22(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U22(X1,X2)) >= Marked_active(U22(mark(X1),X2)) constraint: Marked_mark(U21(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U21(X1,X2)) >= Marked_active(U21(mark(X1),X2)) constraint: Marked_mark(U23(X)) >= Marked_mark(X) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U32(X1,X2,X3)) >= Marked_active(U32(mark(X1),X2,X3)) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U31(X1,X2,X3)) >= Marked_active(U31(mark(X1),X2,X3)) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U33(X1,X2,X3)) >= Marked_active(U33(mark(X1),X2,X3)) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_mark(X1) constraint: Marked_mark(U34(X1,X2,X3)) >= Marked_active(U34(mark(X1),X2,X3)) constraint: Marked_mark(U35(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U35(X1,X2)) >= Marked_active(U35(mark(X1),X2)) constraint: Marked_mark(U36(X)) >= Marked_mark(X) constraint: Marked_mark(U42(X)) >= Marked_mark(X) constraint: Marked_mark(U41(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U41(X1,X2)) >= Marked_active(U41(mark(X1),X2)) constraint: Marked_mark(U51(X)) >= Marked_mark(X) constraint: Marked_mark(U62(X)) >= Marked_mark(X) constraint: Marked_mark(U61(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U61(X1,X2)) >= Marked_active(U61(mark(X1),X2)) constraint: Marked_mark(U72(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U72(X1,X2)) >= Marked_active(U72(mark(X1),X2)) constraint: Marked_mark(U71(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U71(X1,X2)) >= Marked_active(U71(mark(X1),X2)) constraint: Marked_mark(U82(X1,X2,X3)) >= Marked_active(U82(mark(X1),X2,X3)) constraint: Marked_mark(U81(X1,X2,X3)) >= Marked_active(U81(mark(X1),X2,X3)) constraint: Marked_mark(U83(X1,X2,X3)) >= Marked_active(U83(mark(X1),X2,X3)) constraint: Marked_mark(U84(X1,X2,X3)) >= Marked_active(U84(mark(X1),X2,X3)) constraint: Marked_mark(U92(X)) >= Marked_mark(X) constraint: Marked_mark(U91(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(U91(X1,X2)) >= Marked_active(U91(mark(X1),X2)) constraint: Marked_active(isNatKind(plus(V1,V2))) >= Marked_mark(U41( isNatKind( V1), V2)) constraint: Marked_active(isNatKind(x(V1,V2))) >= Marked_mark(U61(isNatKind(V1), V2)) constraint: Marked_active(isNatKind(s(V1))) >= Marked_mark(U51(isNatKind(V1))) constraint: Marked_active(U103(tt,M,N)) >= Marked_mark(U104(isNatKind(N),M,N)) constraint: Marked_active(isNat(plus(V1,V2))) >= Marked_mark(U11(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(x(V1,V2))) >= Marked_mark(U31(isNatKind(V1), V1,V2)) constraint: Marked_active(isNat(s(V1))) >= Marked_mark(U21(isNatKind(V1),V1)) constraint: Marked_active(U104(tt,M,N)) >= Marked_mark(plus(x(N,M),N)) constraint: Marked_active(plus(N,s(M))) >= Marked_mark(U81(isNat(M),M,N)) constraint: Marked_active(plus(N,0)) >= Marked_mark(U71(isNat(N),N)) constraint: Marked_active(x(N,0)) >= Marked_mark(U91(isNat(N),N)) constraint: Marked_active(U12(tt,V1,V2)) >= Marked_mark(U13(isNatKind(V2), V1,V2)) constraint: Marked_active(U11(tt,V1,V2)) >= Marked_mark(U12(isNatKind(V1), V1,V2)) constraint: Marked_active(U13(tt,V1,V2)) >= Marked_mark(U14(isNatKind(V2), V1,V2)) constraint: Marked_active(U14(tt,V1,V2)) >= Marked_mark(U15(isNat(V1),V2)) constraint: Marked_active(U15(tt,V2)) >= Marked_mark(U16(isNat(V2))) constraint: Marked_active(U22(tt,V1)) >= Marked_mark(U23(isNat(V1))) constraint: Marked_active(U21(tt,V1)) >= Marked_mark(U22(isNatKind(V1),V1)) constraint: Marked_active(U32(tt,V1,V2)) >= Marked_mark(U33(isNatKind(V2), V1,V2)) constraint: Marked_active(U31(tt,V1,V2)) >= Marked_mark(U32(isNatKind(V1), V1,V2)) constraint: Marked_active(U33(tt,V1,V2)) >= Marked_mark(U34(isNatKind(V2), V1,V2)) constraint: Marked_active(U34(tt,V1,V2)) >= Marked_mark(U35(isNat(V1),V2)) constraint: Marked_active(U35(tt,V2)) >= Marked_mark(U36(isNat(V2))) constraint: Marked_active(U41(tt,V2)) >= Marked_mark(U42(isNatKind(V2))) constraint: Marked_active(U61(tt,V2)) >= Marked_mark(U62(isNatKind(V2))) constraint: Marked_active(U72(tt,N)) >= Marked_mark(N) constraint: Marked_active(U71(tt,N)) >= Marked_mark(U72(isNatKind(N),N)) constraint: Marked_active(U82(tt,M,N)) >= Marked_mark(U83(isNat(N),M,N)) constraint: Marked_active(U81(tt,M,N)) >= Marked_mark(U82(isNatKind(M),M,N)) constraint: Marked_active(U83(tt,M,N)) >= Marked_mark(U84(isNatKind(N),M,N)) constraint: Marked_active(U84(tt,M,N)) >= Marked_mark(s(plus(N,M))) constraint: Marked_active(U91(tt,N)) >= Marked_mark(U92(isNatKind(N))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> 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