- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z))) [2] active(__(X,nil)) -> mark(X) [3] active(__(nil,X)) -> mark(X) [4] active(U11(tt,V)) -> mark(U12(isPalListKind(V),V)) [5] active(U12(tt,V)) -> mark(U13(isNeList(V))) [6] active(U13(tt)) -> mark(tt) [7] active(U21(tt,V1,V2)) -> mark(U22(isPalListKind(V1),V1,V2)) [8] active(U22(tt,V1,V2)) -> mark(U23(isPalListKind(V2),V1,V2)) [9] active(U23(tt,V1,V2)) -> mark(U24(isPalListKind(V2),V1,V2)) [10] active(U24(tt,V1,V2)) -> mark(U25(isList(V1),V2)) [11] active(U25(tt,V2)) -> mark(U26(isList(V2))) [12] active(U26(tt)) -> mark(tt) [13] active(U31(tt,V)) -> mark(U32(isPalListKind(V),V)) [14] active(U32(tt,V)) -> mark(U33(isQid(V))) [15] active(U33(tt)) -> mark(tt) [16] active(U41(tt,V1,V2)) -> mark(U42(isPalListKind(V1),V1,V2)) [17] active(U42(tt,V1,V2)) -> mark(U43(isPalListKind(V2),V1,V2)) [18] active(U43(tt,V1,V2)) -> mark(U44(isPalListKind(V2),V1,V2)) [19] active(U44(tt,V1,V2)) -> mark(U45(isList(V1),V2)) [20] active(U45(tt,V2)) -> mark(U46(isNeList(V2))) [21] active(U46(tt)) -> mark(tt) [22] active(U51(tt,V1,V2)) -> mark(U52(isPalListKind(V1),V1,V2)) [23] active(U52(tt,V1,V2)) -> mark(U53(isPalListKind(V2),V1,V2)) [24] active(U53(tt,V1,V2)) -> mark(U54(isPalListKind(V2),V1,V2)) [25] active(U54(tt,V1,V2)) -> mark(U55(isNeList(V1),V2)) [26] active(U55(tt,V2)) -> mark(U56(isList(V2))) [27] active(U56(tt)) -> mark(tt) [28] active(U61(tt,V)) -> mark(U62(isPalListKind(V),V)) [29] active(U62(tt,V)) -> mark(U63(isQid(V))) [30] active(U63(tt)) -> mark(tt) [31] active(U71(tt,I,P)) -> mark(U72(isPalListKind(I),P)) [32] active(U72(tt,P)) -> mark(U73(isPal(P),P)) [33] active(U73(tt,P)) -> mark(U74(isPalListKind(P))) [34] active(U74(tt)) -> mark(tt) [35] active(U81(tt,V)) -> mark(U82(isPalListKind(V),V)) [36] active(U82(tt,V)) -> mark(U83(isNePal(V))) [37] active(U83(tt)) -> mark(tt) [38] active(U91(tt,V2)) -> mark(U92(isPalListKind(V2))) [39] active(U92(tt)) -> mark(tt) [40] active(isList(V)) -> mark(U11(isPalListKind(V),V)) [41] active(isList(nil)) -> mark(tt) [42] active(isList(__(V1,V2))) -> mark(U21(isPalListKind(V1),V1,V2)) [43] active(isNeList(V)) -> mark(U31(isPalListKind(V),V)) [44] active(isNeList(__(V1,V2))) -> mark(U41(isPalListKind(V1),V1,V2)) [45] active(isNeList(__(V1,V2))) -> mark(U51(isPalListKind(V1),V1,V2)) [46] active(isNePal(V)) -> mark(U61(isPalListKind(V),V)) [47] active(isNePal(__(I,__(P,I)))) -> mark(U71(isQid(I),I,P)) [48] active(isPal(V)) -> mark(U81(isPalListKind(V),V)) [49] active(isPal(nil)) -> mark(tt) [50] active(isPalListKind(a)) -> mark(tt) [51] active(isPalListKind(e)) -> mark(tt) [52] active(isPalListKind(i)) -> mark(tt) [53] active(isPalListKind(nil)) -> mark(tt) [54] active(isPalListKind(o)) -> mark(tt) [55] active(isPalListKind(u)) -> mark(tt) [56] active(isPalListKind(__(V1,V2))) -> mark(U91(isPalListKind(V1),V2)) [57] active(isQid(a)) -> mark(tt) [58] active(isQid(e)) -> mark(tt) [59] active(isQid(i)) -> mark(tt) [60] active(isQid(o)) -> mark(tt) [61] active(isQid(u)) -> mark(tt) [62] active(__(X1,X2)) -> __(active(X1),X2) [63] active(__(X1,X2)) -> __(X1,active(X2)) [64] active(U11(X1,X2)) -> U11(active(X1),X2) [65] active(U12(X1,X2)) -> U12(active(X1),X2) [66] active(U13(X)) -> U13(active(X)) [67] active(U21(X1,X2,X3)) -> U21(active(X1),X2,X3) [68] active(U22(X1,X2,X3)) -> U22(active(X1),X2,X3) [69] active(U23(X1,X2,X3)) -> U23(active(X1),X2,X3) [70] active(U24(X1,X2,X3)) -> U24(active(X1),X2,X3) [71] active(U25(X1,X2)) -> U25(active(X1),X2) [72] active(U26(X)) -> U26(active(X)) [73] active(U31(X1,X2)) -> U31(active(X1),X2) [74] active(U32(X1,X2)) -> U32(active(X1),X2) [75] active(U33(X)) -> U33(active(X)) [76] active(U41(X1,X2,X3)) -> U41(active(X1),X2,X3) [77] active(U42(X1,X2,X3)) -> U42(active(X1),X2,X3) [78] active(U43(X1,X2,X3)) -> U43(active(X1),X2,X3) [79] active(U44(X1,X2,X3)) -> U44(active(X1),X2,X3) [80] active(U45(X1,X2)) -> U45(active(X1),X2) [81] active(U46(X)) -> U46(active(X)) [82] active(U51(X1,X2,X3)) -> U51(active(X1),X2,X3) [83] active(U52(X1,X2,X3)) -> U52(active(X1),X2,X3) [84] active(U53(X1,X2,X3)) -> U53(active(X1),X2,X3) [85] active(U54(X1,X2,X3)) -> U54(active(X1),X2,X3) [86] active(U55(X1,X2)) -> U55(active(X1),X2) [87] active(U56(X)) -> U56(active(X)) [88] active(U61(X1,X2)) -> U61(active(X1),X2) [89] active(U62(X1,X2)) -> U62(active(X1),X2) [90] active(U63(X)) -> U63(active(X)) [91] active(U71(X1,X2,X3)) -> U71(active(X1),X2,X3) [92] active(U72(X1,X2)) -> U72(active(X1),X2) [93] active(U73(X1,X2)) -> U73(active(X1),X2) [94] active(U74(X)) -> U74(active(X)) [95] active(U81(X1,X2)) -> U81(active(X1),X2) [96] active(U82(X1,X2)) -> U82(active(X1),X2) [97] active(U83(X)) -> U83(active(X)) [98] active(U91(X1,X2)) -> U91(active(X1),X2) [99] active(U92(X)) -> U92(active(X)) [100] __(mark(X1),X2) -> mark(__(X1,X2)) [101] __(X1,mark(X2)) -> mark(__(X1,X2)) [102] U11(mark(X1),X2) -> mark(U11(X1,X2)) [103] U12(mark(X1),X2) -> mark(U12(X1,X2)) [104] U13(mark(X)) -> mark(U13(X)) [105] U21(mark(X1),X2,X3) -> mark(U21(X1,X2,X3)) [106] U22(mark(X1),X2,X3) -> mark(U22(X1,X2,X3)) [107] U23(mark(X1),X2,X3) -> mark(U23(X1,X2,X3)) [108] U24(mark(X1),X2,X3) -> mark(U24(X1,X2,X3)) [109] U25(mark(X1),X2) -> mark(U25(X1,X2)) [110] U26(mark(X)) -> mark(U26(X)) [111] U31(mark(X1),X2) -> mark(U31(X1,X2)) [112] U32(mark(X1),X2) -> mark(U32(X1,X2)) [113] U33(mark(X)) -> mark(U33(X)) [114] U41(mark(X1),X2,X3) -> mark(U41(X1,X2,X3)) [115] U42(mark(X1),X2,X3) -> mark(U42(X1,X2,X3)) [116] U43(mark(X1),X2,X3) -> mark(U43(X1,X2,X3)) [117] U44(mark(X1),X2,X3) -> mark(U44(X1,X2,X3)) [118] U45(mark(X1),X2) -> mark(U45(X1,X2)) [119] U46(mark(X)) -> mark(U46(X)) [120] U51(mark(X1),X2,X3) -> mark(U51(X1,X2,X3)) [121] U52(mark(X1),X2,X3) -> mark(U52(X1,X2,X3)) [122] U53(mark(X1),X2,X3) -> mark(U53(X1,X2,X3)) [123] U54(mark(X1),X2,X3) -> mark(U54(X1,X2,X3)) [124] U55(mark(X1),X2) -> mark(U55(X1,X2)) [125] U56(mark(X)) -> mark(U56(X)) [126] U61(mark(X1),X2) -> mark(U61(X1,X2)) [127] U62(mark(X1),X2) -> mark(U62(X1,X2)) [128] U63(mark(X)) -> mark(U63(X)) [129] U71(mark(X1),X2,X3) -> mark(U71(X1,X2,X3)) [130] U72(mark(X1),X2) -> mark(U72(X1,X2)) [131] U73(mark(X1),X2) -> mark(U73(X1,X2)) [132] U74(mark(X)) -> mark(U74(X)) [133] U81(mark(X1),X2) -> mark(U81(X1,X2)) [134] U82(mark(X1),X2) -> mark(U82(X1,X2)) [135] U83(mark(X)) -> mark(U83(X)) [136] U91(mark(X1),X2) -> mark(U91(X1,X2)) [137] U92(mark(X)) -> mark(U92(X)) [138] proper(__(X1,X2)) -> __(proper(X1),proper(X2)) [139] proper(nil) -> ok(nil) [140] proper(U11(X1,X2)) -> U11(proper(X1),proper(X2)) [141] proper(tt) -> ok(tt) [142] proper(U12(X1,X2)) -> U12(proper(X1),proper(X2)) [143] proper(isPalListKind(X)) -> isPalListKind(proper(X)) [144] proper(U13(X)) -> U13(proper(X)) [145] proper(isNeList(X)) -> isNeList(proper(X)) [146] proper(U21(X1,X2,X3)) -> U21(proper(X1),proper(X2),proper(X3)) [147] proper(U22(X1,X2,X3)) -> U22(proper(X1),proper(X2),proper(X3)) [148] proper(U23(X1,X2,X3)) -> U23(proper(X1),proper(X2),proper(X3)) [149] proper(U24(X1,X2,X3)) -> U24(proper(X1),proper(X2),proper(X3)) [150] proper(U25(X1,X2)) -> U25(proper(X1),proper(X2)) [151] proper(isList(X)) -> isList(proper(X)) [152] proper(U26(X)) -> U26(proper(X)) [153] proper(U31(X1,X2)) -> U31(proper(X1),proper(X2)) [154] proper(U32(X1,X2)) -> U32(proper(X1),proper(X2)) [155] proper(U33(X)) -> U33(proper(X)) [156] proper(isQid(X)) -> isQid(proper(X)) [157] proper(U41(X1,X2,X3)) -> U41(proper(X1),proper(X2),proper(X3)) [158] proper(U42(X1,X2,X3)) -> U42(proper(X1),proper(X2),proper(X3)) [159] proper(U43(X1,X2,X3)) -> U43(proper(X1),proper(X2),proper(X3)) [160] proper(U44(X1,X2,X3)) -> U44(proper(X1),proper(X2),proper(X3)) [161] proper(U45(X1,X2)) -> U45(proper(X1),proper(X2)) [162] proper(U46(X)) -> U46(proper(X)) [163] proper(U51(X1,X2,X3)) -> U51(proper(X1),proper(X2),proper(X3)) [164] proper(U52(X1,X2,X3)) -> U52(proper(X1),proper(X2),proper(X3)) [165] proper(U53(X1,X2,X3)) -> U53(proper(X1),proper(X2),proper(X3)) [166] proper(U54(X1,X2,X3)) -> U54(proper(X1),proper(X2),proper(X3)) [167] proper(U55(X1,X2)) -> U55(proper(X1),proper(X2)) [168] proper(U56(X)) -> U56(proper(X)) [169] proper(U61(X1,X2)) -> U61(proper(X1),proper(X2)) [170] proper(U62(X1,X2)) -> U62(proper(X1),proper(X2)) [171] proper(U63(X)) -> U63(proper(X)) [172] proper(U71(X1,X2,X3)) -> U71(proper(X1),proper(X2),proper(X3)) [173] proper(U72(X1,X2)) -> U72(proper(X1),proper(X2)) [174] proper(U73(X1,X2)) -> U73(proper(X1),proper(X2)) [175] proper(isPal(X)) -> isPal(proper(X)) [176] proper(U74(X)) -> U74(proper(X)) [177] proper(U81(X1,X2)) -> U81(proper(X1),proper(X2)) [178] proper(U82(X1,X2)) -> U82(proper(X1),proper(X2)) [179] proper(U83(X)) -> U83(proper(X)) [180] proper(isNePal(X)) -> isNePal(proper(X)) [181] proper(U91(X1,X2)) -> U91(proper(X1),proper(X2)) [182] proper(U92(X)) -> U92(proper(X)) [183] proper(a) -> ok(a) [184] proper(e) -> ok(e) [185] proper(i) -> ok(i) [186] proper(o) -> ok(o) [187] proper(u) -> ok(u) [188] __(ok(X1),ok(X2)) -> ok(__(X1,X2)) [189] U11(ok(X1),ok(X2)) -> ok(U11(X1,X2)) [190] U12(ok(X1),ok(X2)) -> ok(U12(X1,X2)) [191] isPalListKind(ok(X)) -> ok(isPalListKind(X)) [192] U13(ok(X)) -> ok(U13(X)) [193] isNeList(ok(X)) -> ok(isNeList(X)) [194] U21(ok(X1),ok(X2),ok(X3)) -> ok(U21(X1,X2,X3)) [195] U22(ok(X1),ok(X2),ok(X3)) -> ok(U22(X1,X2,X3)) [196] U23(ok(X1),ok(X2),ok(X3)) -> ok(U23(X1,X2,X3)) [197] U24(ok(X1),ok(X2),ok(X3)) -> ok(U24(X1,X2,X3)) [198] U25(ok(X1),ok(X2)) -> ok(U25(X1,X2)) [199] isList(ok(X)) -> ok(isList(X)) [200] U26(ok(X)) -> ok(U26(X)) [201] U31(ok(X1),ok(X2)) -> ok(U31(X1,X2)) [202] U32(ok(X1),ok(X2)) -> ok(U32(X1,X2)) [203] U33(ok(X)) -> ok(U33(X)) [204] isQid(ok(X)) -> ok(isQid(X)) [205] U41(ok(X1),ok(X2),ok(X3)) -> ok(U41(X1,X2,X3)) [206] U42(ok(X1),ok(X2),ok(X3)) -> ok(U42(X1,X2,X3)) [207] U43(ok(X1),ok(X2),ok(X3)) -> ok(U43(X1,X2,X3)) [208] U44(ok(X1),ok(X2),ok(X3)) -> ok(U44(X1,X2,X3)) [209] U45(ok(X1),ok(X2)) -> ok(U45(X1,X2)) [210] U46(ok(X)) -> ok(U46(X)) [211] U51(ok(X1),ok(X2),ok(X3)) -> ok(U51(X1,X2,X3)) [212] U52(ok(X1),ok(X2),ok(X3)) -> ok(U52(X1,X2,X3)) [213] U53(ok(X1),ok(X2),ok(X3)) -> ok(U53(X1,X2,X3)) [214] U54(ok(X1),ok(X2),ok(X3)) -> ok(U54(X1,X2,X3)) [215] U55(ok(X1),ok(X2)) -> ok(U55(X1,X2)) [216] U56(ok(X)) -> ok(U56(X)) [217] U61(ok(X1),ok(X2)) -> ok(U61(X1,X2)) [218] U62(ok(X1),ok(X2)) -> ok(U62(X1,X2)) [219] U63(ok(X)) -> ok(U63(X)) [220] U71(ok(X1),ok(X2),ok(X3)) -> ok(U71(X1,X2,X3)) [221] U72(ok(X1),ok(X2)) -> ok(U72(X1,X2)) [222] U73(ok(X1),ok(X2)) -> ok(U73(X1,X2)) [223] isPal(ok(X)) -> ok(isPal(X)) [224] U74(ok(X)) -> ok(U74(X)) [225] U81(ok(X1),ok(X2)) -> ok(U81(X1,X2)) [226] U82(ok(X1),ok(X2)) -> ok(U82(X1,X2)) [227] U83(ok(X)) -> ok(U83(X)) [228] isNePal(ok(X)) -> ok(isNePal(X)) [229] U91(ok(X1),ok(X2)) -> ok(U91(X1,X2)) [230] U92(ok(X)) -> ok(U92(X)) [231] top(mark(X)) -> top(proper(X)) [232] top(ok(X)) -> top(active(X)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 46 components: { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> 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--> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { __(mark(X1),X2) >= mark(__(X1,X2)) ; __(ok(X1),ok(X2)) >= ok(__(X1,X2)) ; __(X1,mark(X2)) >= mark(__(X1,X2)) ; active(__(__(X,Y),Z)) >= mark(__(X,__(Y,Z))) ; active(__(nil,X)) >= mark(X) ; active(__(X,nil)) >= mark(X) ; active(__(X1,X2)) >= __(active(X1),X2) ; active(__(X1,X2)) >= __(X1,active(X2)) ; active(U12(tt,V)) >= mark(U13(isNeList(V))) ; active(U12(X1,X2)) >= U12(active(X1),X2) ; active(isPalListKind(__(V1,V2))) >= mark(U91(isPalListKind(V1),V2)) ; active(isPalListKind(nil)) >= mark(tt) ; active(isPalListKind(a)) >= mark(tt) ; active(isPalListKind(e)) >= mark(tt) ; active(isPalListKind(i)) >= mark(tt) ; active(isPalListKind(o)) >= mark(tt) ; active(isPalListKind(u)) >= mark(tt) ; active(U11(tt,V)) >= mark(U12(isPalListKind(V),V)) ; active(U11(X1,X2)) >= U11(active(X1),X2) ; active(U13(tt)) >= mark(tt) ; active(U13(X)) >= U13(active(X)) ; active(isNeList(__(V1,V2))) >= mark(U41(isPalListKind(V1),V1,V2)) ; active(isNeList(__(V1,V2))) >= mark(U51(isPalListKind(V1),V1,V2)) ; active(isNeList(V)) >= mark(U31(isPalListKind(V),V)) ; active(U22(tt,V1,V2)) >= mark(U23(isPalListKind(V2),V1,V2)) ; active(U22(X1,X2,X3)) >= U22(active(X1),X2,X3) ; active(U21(tt,V1,V2)) >= mark(U22(isPalListKind(V1),V1,V2)) ; active(U21(X1,X2,X3)) >= U21(active(X1),X2,X3) ; active(U23(tt,V1,V2)) >= mark(U24(isPalListKind(V2),V1,V2)) ; active(U23(X1,X2,X3)) >= U23(active(X1),X2,X3) ; active(U24(tt,V1,V2)) >= mark(U25(isList(V1),V2)) ; active(U24(X1,X2,X3)) >= U24(active(X1),X2,X3) ; active(U25(tt,V2)) >= mark(U26(isList(V2))) ; active(U25(X1,X2)) >= U25(active(X1),X2) ; active(isList(__(V1,V2))) >= mark(U21(isPalListKind(V1),V1,V2)) ; active(isList(nil)) >= mark(tt) ; active(isList(V)) >= mark(U11(isPalListKind(V),V)) ; active(U26(tt)) >= mark(tt) ; active(U26(X)) >= U26(active(X)) ; active(U32(tt,V)) >= mark(U33(isQid(V))) ; active(U32(X1,X2)) >= U32(active(X1),X2) ; active(U31(tt,V)) >= mark(U32(isPalListKind(V),V)) ; active(U31(X1,X2)) >= U31(active(X1),X2) ; active(U33(tt)) >= mark(tt) ; active(U33(X)) >= U33(active(X)) ; active(isQid(a)) >= mark(tt) ; active(isQid(e)) >= mark(tt) ; active(isQid(i)) >= mark(tt) ; active(isQid(o)) >= mark(tt) ; active(isQid(u)) >= mark(tt) ; active(U42(tt,V1,V2)) >= mark(U43(isPalListKind(V2),V1,V2)) ; active(U42(X1,X2,X3)) >= U42(active(X1),X2,X3) ; active(U41(tt,V1,V2)) >= mark(U42(isPalListKind(V1),V1,V2)) ; active(U41(X1,X2,X3)) >= U41(active(X1),X2,X3) ; active(U43(tt,V1,V2)) >= mark(U44(isPalListKind(V2),V1,V2)) ; active(U43(X1,X2,X3)) >= U43(active(X1),X2,X3) ; active(U44(tt,V1,V2)) >= mark(U45(isList(V1),V2)) ; active(U44(X1,X2,X3)) >= U44(active(X1),X2,X3) ; active(U45(tt,V2)) >= mark(U46(isNeList(V2))) ; active(U45(X1,X2)) >= U45(active(X1),X2) ; active(U46(tt)) >= mark(tt) ; active(U46(X)) >= U46(active(X)) ; active(U52(tt,V1,V2)) >= mark(U53(isPalListKind(V2),V1,V2)) ; active(U52(X1,X2,X3)) >= U52(active(X1),X2,X3) ; active(U51(tt,V1,V2)) >= mark(U52(isPalListKind(V1),V1,V2)) ; active(U51(X1,X2,X3)) >= U51(active(X1),X2,X3) ; active(U53(tt,V1,V2)) >= mark(U54(isPalListKind(V2),V1,V2)) ; active(U53(X1,X2,X3)) >= U53(active(X1),X2,X3) ; active(U54(tt,V1,V2)) >= mark(U55(isNeList(V1),V2)) ; active(U54(X1,X2,X3)) >= U54(active(X1),X2,X3) ; active(U55(tt,V2)) >= mark(U56(isList(V2))) ; active(U55(X1,X2)) >= U55(active(X1),X2) ; active(U56(tt)) >= mark(tt) ; active(U56(X)) >= U56(active(X)) ; active(U62(tt,V)) >= mark(U63(isQid(V))) ; active(U62(X1,X2)) >= U62(active(X1),X2) ; active(U61(tt,V)) >= mark(U62(isPalListKind(V),V)) ; active(U61(X1,X2)) >= U61(active(X1),X2) ; active(U63(tt)) >= mark(tt) ; active(U63(X)) >= U63(active(X)) ; active(U72(tt,P)) >= mark(U73(isPal(P),P)) ; active(U72(X1,X2)) >= U72(active(X1),X2) ; active(U71(tt,I,P)) >= mark(U72(isPalListKind(I),P)) ; active(U71(X1,X2,X3)) >= U71(active(X1),X2,X3) ; active(U73(tt,P)) >= mark(U74(isPalListKind(P))) ; active(U73(X1,X2)) >= U73(active(X1),X2) ; active(isPal(nil)) >= mark(tt) ; active(isPal(V)) >= mark(U81(isPalListKind(V),V)) ; active(U74(tt)) >= mark(tt) ; active(U74(X)) >= U74(active(X)) ; active(U82(tt,V)) >= mark(U83(isNePal(V))) ; active(U82(X1,X2)) >= U82(active(X1),X2) ; active(U81(tt,V)) >= mark(U82(isPalListKind(V),V)) ; active(U81(X1,X2)) >= U81(active(X1),X2) ; active(U83(tt)) >= mark(tt) ; active(U83(X)) >= U83(active(X)) ; active(isNePal(__(I,__(P,I)))) >= mark(U71(isQid(I),I,P)) ; active(isNePal(V)) >= mark(U61(isPalListKind(V),V)) ; active(U92(tt)) >= mark(tt) ; active(U92(X)) >= U92(active(X)) ; active(U91(tt,V2)) >= mark(U92(isPalListKind(V2))) ; active(U91(X1,X2)) >= U91(active(X1),X2) ; U12(mark(X1),X2) >= mark(U12(X1,X2)) ; U12(ok(X1),ok(X2)) >= ok(U12(X1,X2)) ; isPalListKind(ok(X)) >= ok(isPalListKind(X)) ; U11(mark(X1),X2) >= mark(U11(X1,X2)) ; U11(ok(X1),ok(X2)) >= ok(U11(X1,X2)) ; U13(mark(X)) >= mark(U13(X)) ; U13(ok(X)) >= ok(U13(X)) ; isNeList(ok(X)) >= ok(isNeList(X)) ; U22(mark(X1),X2,X3) >= mark(U22(X1,X2,X3)) ; U22(ok(X1),ok(X2),ok(X3)) >= ok(U22(X1,X2,X3)) ; U21(mark(X1),X2,X3) >= mark(U21(X1,X2,X3)) ; U21(ok(X1),ok(X2),ok(X3)) >= ok(U21(X1,X2,X3)) ; U23(mark(X1),X2,X3) >= mark(U23(X1,X2,X3)) ; U23(ok(X1),ok(X2),ok(X3)) >= ok(U23(X1,X2,X3)) ; U24(mark(X1),X2,X3) >= mark(U24(X1,X2,X3)) ; U24(ok(X1),ok(X2),ok(X3)) >= ok(U24(X1,X2,X3)) ; U25(mark(X1),X2) >= mark(U25(X1,X2)) ; U25(ok(X1),ok(X2)) >= ok(U25(X1,X2)) ; isList(ok(X)) >= ok(isList(X)) ; U26(mark(X)) >= mark(U26(X)) ; U26(ok(X)) >= ok(U26(X)) ; U32(mark(X1),X2) >= mark(U32(X1,X2)) ; U32(ok(X1),ok(X2)) >= ok(U32(X1,X2)) ; U31(mark(X1),X2) >= mark(U31(X1,X2)) ; U31(ok(X1),ok(X2)) >= ok(U31(X1,X2)) ; U33(mark(X)) >= mark(U33(X)) ; U33(ok(X)) >= ok(U33(X)) ; isQid(ok(X)) >= ok(isQid(X)) ; U42(mark(X1),X2,X3) >= mark(U42(X1,X2,X3)) ; U42(ok(X1),ok(X2),ok(X3)) >= ok(U42(X1,X2,X3)) ; U41(mark(X1),X2,X3) >= mark(U41(X1,X2,X3)) ; U41(ok(X1),ok(X2),ok(X3)) >= ok(U41(X1,X2,X3)) ; U43(mark(X1),X2,X3) >= mark(U43(X1,X2,X3)) ; U43(ok(X1),ok(X2),ok(X3)) >= ok(U43(X1,X2,X3)) ; U44(mark(X1),X2,X3) >= mark(U44(X1,X2,X3)) ; U44(ok(X1),ok(X2),ok(X3)) >= ok(U44(X1,X2,X3)) ; U45(mark(X1),X2) >= mark(U45(X1,X2)) ; U45(ok(X1),ok(X2)) >= ok(U45(X1,X2)) ; U46(mark(X)) >= mark(U46(X)) ; U46(ok(X)) >= ok(U46(X)) ; U52(mark(X1),X2,X3) >= mark(U52(X1,X2,X3)) ; U52(ok(X1),ok(X2),ok(X3)) >= ok(U52(X1,X2,X3)) ; U51(mark(X1),X2,X3) >= mark(U51(X1,X2,X3)) ; U51(ok(X1),ok(X2),ok(X3)) >= ok(U51(X1,X2,X3)) ; U53(mark(X1),X2,X3) >= mark(U53(X1,X2,X3)) ; U53(ok(X1),ok(X2),ok(X3)) >= ok(U53(X1,X2,X3)) ; U54(mark(X1),X2,X3) >= mark(U54(X1,X2,X3)) ; U54(ok(X1),ok(X2),ok(X3)) >= ok(U54(X1,X2,X3)) ; U55(mark(X1),X2) >= mark(U55(X1,X2)) ; U55(ok(X1),ok(X2)) >= ok(U55(X1,X2)) ; U56(mark(X)) >= mark(U56(X)) ; U56(ok(X)) >= ok(U56(X)) ; U62(mark(X1),X2) >= mark(U62(X1,X2)) ; U62(ok(X1),ok(X2)) >= ok(U62(X1,X2)) ; U61(mark(X1),X2) >= mark(U61(X1,X2)) ; U61(ok(X1),ok(X2)) >= ok(U61(X1,X2)) ; U63(mark(X)) >= mark(U63(X)) ; U63(ok(X)) >= ok(U63(X)) ; U72(mark(X1),X2) >= mark(U72(X1,X2)) ; U72(ok(X1),ok(X2)) >= ok(U72(X1,X2)) ; U71(mark(X1),X2,X3) >= mark(U71(X1,X2,X3)) ; U71(ok(X1),ok(X2),ok(X3)) >= ok(U71(X1,X2,X3)) ; U73(mark(X1),X2) >= mark(U73(X1,X2)) ; U73(ok(X1),ok(X2)) >= ok(U73(X1,X2)) ; isPal(ok(X)) >= ok(isPal(X)) ; U74(mark(X)) >= mark(U74(X)) ; U74(ok(X)) >= ok(U74(X)) ; U82(mark(X1),X2) >= mark(U82(X1,X2)) ; U82(ok(X1),ok(X2)) >= ok(U82(X1,X2)) ; U81(mark(X1),X2) >= mark(U81(X1,X2)) ; U81(ok(X1),ok(X2)) >= ok(U81(X1,X2)) ; U83(mark(X)) >= mark(U83(X)) ; U83(ok(X)) >= ok(U83(X)) ; isNePal(ok(X)) >= ok(isNePal(X)) ; U92(mark(X)) >= mark(U92(X)) ; U92(ok(X)) >= ok(U92(X)) ; U91(mark(X1),X2) >= mark(U91(X1,X2)) ; U91(ok(X1),ok(X2)) >= ok(U91(X1,X2)) ; proper(__(X1,X2)) >= __(proper(X1),proper(X2)) ; proper(nil) >= ok(nil) ; proper(U12(X1,X2)) >= U12(proper(X1),proper(X2)) ; proper(isPalListKind(X)) >= isPalListKind(proper(X)) ; proper(U11(X1,X2)) >= U11(proper(X1),proper(X2)) ; proper(tt) >= ok(tt) ; proper(U13(X)) >= U13(proper(X)) ; proper(isNeList(X)) >= isNeList(proper(X)) ; proper(U22(X1,X2,X3)) >= U22(proper(X1),proper(X2),proper(X3)) ; proper(U21(X1,X2,X3)) >= U21(proper(X1),proper(X2),proper(X3)) ; proper(U23(X1,X2,X3)) >= U23(proper(X1),proper(X2),proper(X3)) ; proper(U24(X1,X2,X3)) >= U24(proper(X1),proper(X2),proper(X3)) ; proper(U25(X1,X2)) >= U25(proper(X1),proper(X2)) ; proper(isList(X)) >= isList(proper(X)) ; proper(U26(X)) >= U26(proper(X)) ; proper(U32(X1,X2)) >= U32(proper(X1),proper(X2)) ; proper(U31(X1,X2)) >= U31(proper(X1),proper(X2)) ; proper(U33(X)) >= U33(proper(X)) ; proper(isQid(X)) >= isQid(proper(X)) ; proper(U42(X1,X2,X3)) >= U42(proper(X1),proper(X2),proper(X3)) ; proper(U41(X1,X2,X3)) >= U41(proper(X1),proper(X2),proper(X3)) ; proper(U43(X1,X2,X3)) >= U43(proper(X1),proper(X2),proper(X3)) ; proper(U44(X1,X2,X3)) >= U44(proper(X1),proper(X2),proper(X3)) ; proper(U45(X1,X2)) >= U45(proper(X1),proper(X2)) ; proper(U46(X)) >= U46(proper(X)) ; proper(U52(X1,X2,X3)) >= U52(proper(X1),proper(X2),proper(X3)) ; proper(U51(X1,X2,X3)) >= U51(proper(X1),proper(X2),proper(X3)) ; proper(U53(X1,X2,X3)) >= U53(proper(X1),proper(X2),proper(X3)) ; proper(U54(X1,X2,X3)) >= U54(proper(X1),proper(X2),proper(X3)) ; proper(U55(X1,X2)) >= U55(proper(X1),proper(X2)) ; proper(U56(X)) >= U56(proper(X)) ; proper(U62(X1,X2)) >= U62(proper(X1),proper(X2)) ; proper(U61(X1,X2)) >= U61(proper(X1),proper(X2)) ; proper(U63(X)) >= U63(proper(X)) ; proper(U72(X1,X2)) >= U72(proper(X1),proper(X2)) ; proper(U71(X1,X2,X3)) >= U71(proper(X1),proper(X2),proper(X3)) ; proper(U73(X1,X2)) >= U73(proper(X1),proper(X2)) ; proper(isPal(X)) >= isPal(proper(X)) ; proper(U74(X)) >= U74(proper(X)) ; proper(U82(X1,X2)) >= U82(proper(X1),proper(X2)) ; proper(U81(X1,X2)) >= U81(proper(X1),proper(X2)) ; proper(U83(X)) >= U83(proper(X)) ; proper(isNePal(X)) >= isNePal(proper(X)) ; proper(U92(X)) >= U92(proper(X)) ; proper(U91(X1,X2)) >= U91(proper(X1),proper(X2)) ; proper(a) >= ok(a) ; proper(e) >= ok(e) ; proper(i) >= ok(i) ; proper(o) >= ok(o) ; proper(u) >= ok(u) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_top(mark(X)) >= Marked_top(proper(X)) ; Marked_top(ok(X)) >= Marked_top(active(X)) ; } + Disjunctions:{ { Marked_top(mark(X)) > Marked_top(proper(X)) ; } { Marked_top(ok(X)) > Marked_top(active(X)) ; } } === 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 === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat timeout reached === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (ID_CRIT) NOT SOLVED No proof found Cime worked for 91.262860 seconds (real time) Cime Exit Status: 0