TSTP Solution File: SWW004_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW004_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:15:13 EDT 2022

% Result   : Theorem 2.43s 0.73s
% Output   : Refutation 2.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   44 (  14 unt;   7 typ;   0 def)
%            Number of atoms       : 7346 (6067 equ)
%            Maximal formula atoms :  903 ( 198 avg)
%            Number of connectives : 11231 (3922   ~;2479   |;4825   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  124 (  30 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     : 7328 (1274 atm;   0 fun;3727 num;2327 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   0 usr;   2 prp; 0-2 aty)
%            Number of functors    :   18 (   7 usr;  16 con; 0-1 aty)
%            Number of variables   : 2327 (2327   !;   0   ?;2327   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    z1: $int ).

tff(func_def_1,type,
    z2: $int ).

tff(func_def_2,type,
    z3: $int ).

tff(func_def_3,type,
    z4: $int ).

tff(func_def_4,type,
    z5: $int ).

tff(func_def_5,type,
    a: $int > $int ).

tff(func_def_6,type,
    b: $int > $int ).

tff(f509,plain,
    $false,
    inference(subsumption_resolution,[],[f508,f56]) ).

tff(f56,plain,
    z1 != z2,
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
        ( ~ $less(X2,X3)
        | ( X0 = X1 )
        | ( X1 = X2 )
        | ( 5 != b(X3) )
        | ( X0 = X2 )
        | ( 4 != a(X3) )
        | ( b(X0) != 2 )
        | ( X1 = X3 )
        | ( 10 != a(X2) )
        | ( X2 = X3 )
        | ~ $less(b(X2),3)
        | ( a(X1) != 7 )
        | ( X0 = X3 ) )
    & ! [X4: $int,X5: $int,X6: $int,X7: $int] :
        ( ( X6 = X7 )
        | ( X4 = X5 )
        | ( X5 = X7 )
        | ( 5 != a(X7) )
        | ~ $less(b(X5),3)
        | ( 7 != a(X4) )
        | ( X4 = X6 )
        | ~ $less(X5,X7)
        | ( 5 != b(X7) )
        | ( X5 = X6 )
        | ( X4 = X7 )
        | ( 10 != a(X5) )
        | ( 2 != b(X6) ) )
    & ! [X8: $int,X9: $int,X10: $int,X11: $int] :
        ( ~ $less(X11,X10)
        | ( 10 != a(X11) )
        | ( X9 = X10 )
        | ( X10 = X11 )
        | ( 1 != a(X10) )
        | ( 2 != b(X11) )
        | ~ $less(b(X8),4)
        | ( X9 = X11 )
        | ( 5 != b(X9) )
        | ( X8 = X10 )
        | ( X8 = X11 )
        | ( X8 = X9 )
        | ( 7 != a(X8) ) )
    & ( z3 != z5 )
    & ! [X12: $int,X13: $int,X14: $int,X15: $int] :
        ( ( 2 != b(X12) )
        | ( X14 = X15 )
        | ( 10 != a(X13) )
        | ( X12 = X15 )
        | ( X12 = X13 )
        | ( 8 != a(X15) )
        | ( X13 = X14 )
        | ~ $less(b(X13),3)
        | ( X13 = X15 )
        | ( 5 != a(X14) )
        | ( X12 = X14 )
        | ~ $less(X13,X14) )
    & ! [X16: $int,X17: $int,X18: $int] :
        ( ~ $less(b(X16),3)
        | ( X16 = X18 )
        | ( 10 != a(X16) )
        | ( X16 = X17 )
        | ( X17 = X18 )
        | ( 6 != a(X17) )
        | ~ $less(X16,X17)
        | ( 8 != a(X18) ) )
    & ! [X19: $int,X20: $int,X21: $int] :
        ( ( X20 = X21 )
        | ( 10 != a(X21) )
        | ( X19 = X20 )
        | ( 5 != a(X20) )
        | ( X19 = X21 )
        | ( 5 != b(X19) )
        | ( 5 != a(X19) )
        | ~ $less(X21,X19)
        | ( 2 != b(X21) ) )
    & ( z2 != z5 )
    & ! [X22: $int,X23: $int,X24: $int,X25: $int] :
        ( ~ $less(X24,X22)
        | ~ $less(b(X24),3)
        | ( 8 != a(X23) )
        | ( X22 = X25 )
        | ( 5 != a(X22) )
        | ( X24 = X25 )
        | ( X22 = X23 )
        | ( 2 != a(X25) )
        | ( 10 != a(X24) )
        | ( X23 = X24 )
        | ( X23 = X25 )
        | ( X22 = X24 ) )
    & ! [X26: $int,X27: $int,X28: $int] :
        ( ( X26 = X27 )
        | ( X27 = X28 )
        | ~ $less(X26,X27)
        | ( 2 != b(X26) )
        | ( 5 != a(X28) )
        | ( X26 = X28 )
        | ( 10 != a(X26) )
        | ( 5 != b(X27) )
        | ( 4 != a(X27) ) )
    & ! [X29: $int,X30: $int,X31: $int] :
        ( ( 5 != b(X29) )
        | ( X29 = X31 )
        | ( 10 != a(X30) )
        | ( X30 = X31 )
        | ( 5 != a(X29) )
        | ( 7 != a(X31) )
        | ( X29 = X30 )
        | ~ $less(X30,X29)
        | ( 2 != b(X30) ) )
    & ! [X32: $int,X33: $int,X34: $int,X35: $int] :
        ( ( X32 = X35 )
        | ( X33 = X35 )
        | ( 10 != a(X34) )
        | ( 5 != b(X35) )
        | ( X32 = X34 )
        | ~ $less(X34,X35)
        | ( X33 = X34 )
        | ~ $less(b(X34),3)
        | ( X32 = X33 )
        | ( 5 != a(X35) )
        | ( 2 != b(X32) )
        | ( 6 != a(X33) )
        | ( X34 = X35 ) )
    & ! [X36: $int,X37: $int,X38: $int] :
        ( ( 2 != b(X36) )
        | ( 5 != b(X37) )
        | ( 10 != a(X36) )
        | ( X36 = X37 )
        | ( X37 = X38 )
        | ( 6 != a(X37) )
        | ~ $less(X36,X37)
        | ( X36 = X38 )
        | ( 4 != a(X38) ) )
    & ! [X39: $int,X40: $int,X41: $int] :
        ( ( X39 = X40 )
        | ~ $less(b(X40),3)
        | ( 2 != b(X39) )
        | ( 2 != a(X41) )
        | ( X40 = X41 )
        | ( 5 != b(X41) )
        | ( X39 = X41 )
        | ( 7 != a(X39) )
        | ( 10 != a(X40) )
        | ~ $less(X40,X41) )
    & ( 1 = a(z4) )
    & ( z1 != z4 )
    & ! [X42: $int,X43: $int] :
        ( ~ $less(b(X43),3)
        | ( X42 = X43 )
        | ( 9 != a(X42) )
        | ( 10 != a(X43) )
        | ~ $less(X43,X42) )
    & ! [X44: $int] :
        ( ~ $less(5,b(X44))
        & ~ $less(b(X44),1) )
    & ! [X45: $int,X46: $int,X47: $int] :
        ( ~ $less(X46,X47)
        | ( 2 != b(X46) )
        | ~ $less(b(X45),4)
        | ( 8 != a(X45) )
        | ( 3 != a(X47) )
        | ( X45 = X47 )
        | ( X46 = X47 )
        | ( X45 = X46 )
        | ~ $less(b(X47),4)
        | ( 10 != a(X46) ) )
    & ! [X48: $int,X49: $int,X50: $int] :
        ( ( 10 != a(X50) )
        | ( X49 = X50 )
        | ( 5 != b(X49) )
        | ~ $less(b(X50),3)
        | ~ $less(X50,X48)
        | ( 7 != a(X48) )
        | ( X48 = X49 )
        | ( X48 = X50 ) )
    & ( 5 = b(z4) )
    & ! [X51: $int,X52: $int,X53: $int,X54: $int] :
        ( ( 2 != a(X54) )
        | ~ $less(b(X53),3)
        | ( 10 != a(X53) )
        | ( 4 != a(X52) )
        | ~ $less(X53,X52)
        | ( X52 = X53 )
        | ( X51 = X52 )
        | ( X51 = X54 )
        | ( 8 != a(X51) )
        | ( X52 = X54 )
        | ( X51 = X53 )
        | ( X53 = X54 ) )
    & $less(z2,z1)
    & ! [X55: $int,X56: $int,X57: $int] :
        ( ( X55 = X57 )
        | ( 6 != a(X57) )
        | ( 10 != a(X55) )
        | ( 5 != b(X56) )
        | ~ $less(b(X55),3)
        | ( 2 != b(X57) )
        | ( X55 = X56 )
        | ~ $less(X55,X56)
        | ( 5 != a(X56) )
        | ( X56 = X57 ) )
    & ( z1 != z3 )
    & ! [X58: $int,X59: $int,X60: $int,X61: $int] :
        ( ( X59 = X61 )
        | ( 3 != a(X60) )
        | ~ $less(b(X61),4)
        | ( 5 != b(X58) )
        | ( X58 = X59 )
        | ( X60 = X61 )
        | ( 7 != a(X61) )
        | ~ $less(b(X60),4)
        | ~ $less(X59,X60)
        | ( X59 = X60 )
        | ( 10 != a(X59) )
        | ( 2 != b(X59) )
        | ( X58 = X61 )
        | ( X58 = X60 ) )
    & ( z4 != z5 )
    & ! [X62: $int,X63: $int,X64: $int,X65: $int] :
        ( ( X63 = X64 )
        | ~ $less(X63,X64)
        | ( X63 = X65 )
        | ( 4 != a(X64) )
        | ~ $less(b(X63),3)
        | ( X62 = X65 )
        | ( 5 != b(X62) )
        | ( 2 != a(X65) )
        | ( 10 != a(X63) )
        | ( X64 = X65 )
        | ( X62 = X64 )
        | ( X62 = X63 ) )
    & ( z2 != z3 )
    & ! [X66: $int,X67: $int,X68: $int] :
        ( ( X66 = X67 )
        | ~ $less(b(X66),3)
        | ( 8 != a(X67) )
        | ( 10 != a(X66) )
        | ( 12 != a(X68) )
        | ( X66 = X68 )
        | ( 2 != b(X67) )
        | ~ $less(X66,X68)
        | ( X67 = X68 ) )
    & ! [X69: $int,X70: $int,X71: $int] :
        ( ( X70 = X71 )
        | ( 1 != a(X70) )
        | ( X69 = X71 )
        | ( X69 = X70 )
        | ( 6 != a(X71) )
        | ( 5 != b(X70) )
        | ( 2 != b(X69) )
        | ( 10 != a(X69) )
        | ~ $less(X69,X70) )
    & ( 5 = b(z3) )
    & ! [X72: $int,X73: $int,X74: $int] :
        ( ( 4 != a(X72) )
        | ( X72 = X73 )
        | ( X73 = X74 )
        | ( X72 = X74 )
        | ( 2 != b(X73) )
        | ~ $less(b(X74),3)
        | ( 10 != a(X74) )
        | ( 8 != a(X73) )
        | ~ $less(X74,X72) )
    & ! [X75: $int,X76: $int,X77: $int] :
        ( ( 5 != b(X76) )
        | ~ $less(b(X75),3)
        | ( X75 = X77 )
        | ( 7 != a(X77) )
        | ( 7 != a(X76) )
        | ( X76 = X77 )
        | ~ $less(X75,X76)
        | ( X75 = X76 )
        | ( 10 != a(X75) ) )
    & ! [X78: $int,X79: $int,X80: $int,X81: $int] :
        ( ~ $less(X78,X81)
        | ( 5 != a(X80) )
        | ~ $less(b(X78),3)
        | ( X80 = X81 )
        | ( 7 != a(X81) )
        | ( 5 != b(X81) )
        | ( X79 = X80 )
        | ( 2 != b(X79) )
        | ( X78 = X79 )
        | ( 10 != a(X78) )
        | ( X79 = X81 )
        | ( X78 = X80 )
        | ( X78 = X81 ) )
    & ! [X82: $int,X83: $int,X84: $int,X85: $int] :
        ( ( 10 != a(X82) )
        | ( X82 = X83 )
        | ( X84 = X85 )
        | ( 7 != a(X85) )
        | ~ $less(X82,X84)
        | ( X83 = X85 )
        | ( X83 = X84 )
        | ( 2 != b(X82) )
        | ~ $less(b(X85),4)
        | ( X82 = X85 )
        | ( 2 != a(X84) )
        | ( 5 != b(X83) )
        | ( X82 = X84 ) )
    & ! [X86: $int,X87: $int,X88: $int] :
        ( ( X86 = X87 )
        | ( 10 != a(X88) )
        | ~ $less(X88,X86)
        | ( 4 != a(X86) )
        | ( 2 != b(X88) )
        | ( X86 = X88 )
        | ( 8 != a(X87) )
        | ( X87 = X88 ) )
    & ! [X89: $int,X90: $int,X91: $int,X92: $int] :
        ( ( 2 != b(X92) )
        | ( X89 = X90 )
        | ( 10 != a(X90) )
        | ~ $less(X90,X89)
        | ( 12 != a(X89) )
        | ( 7 != a(X92) )
        | ~ $less(b(X90),3)
        | ( X90 = X92 )
        | ( 5 != b(X91) )
        | ( X89 = X92 )
        | ( X91 = X92 )
        | ( X90 = X91 )
        | ( X89 = X91 ) )
    & ( 5 = a(z1) )
    & ! [X93: $int,X94: $int,X95: $int,X96: $int] :
        ( ( X94 = X96 )
        | ~ $less(b(X93),4)
        | ( 12 != a(X96) )
        | ( 7 != a(X93) )
        | ( 5 != b(X94) )
        | ( 2 != b(X95) )
        | ( X93 = X95 )
        | ( X93 = X94 )
        | ~ $less(X95,X96)
        | ( X94 = X95 )
        | ( X95 = X96 )
        | ( 10 != a(X95) )
        | ( X93 = X96 ) )
    & ! [X97: $int,X98: $int,X99: $int] :
        ( ( 10 != a(X98) )
        | ~ $less(b(X99),4)
        | ( X97 = X98 )
        | ( X98 = X99 )
        | ( X97 = X99 )
        | ( 2 != b(X98) )
        | ( 5 != b(X97) )
        | ( 7 != a(X99) )
        | ~ $less(X98,X97)
        | ( 12 != a(X97) ) )
    & ! [X100: $int,X101: $int,X102: $int,X103: $int] :
        ( ( 10 != a(X103) )
        | ( X101 = X102 )
        | ~ $less(X103,X100)
        | ~ $less(b(X103),3)
        | ( 5 != a(X100) )
        | ( X102 = X103 )
        | ( X101 = X103 )
        | ( 5 != b(X101) )
        | ( X100 = X102 )
        | ( X100 = X103 )
        | ( 2 != a(X102) )
        | ( X100 = X101 ) )
    & ! [X104: $int,X105: $int,X106: $int] :
        ( ( X104 = X106 )
        | ( 8 != a(X105) )
        | ( 2 != b(X104) )
        | ~ $less(b(X105),4)
        | ( X104 = X105 )
        | ( X105 = X106 )
        | ( 10 != a(X104) )
        | ( 2 != a(X106) )
        | ~ $less(X104,X106) )
    & ( z3 != z4 )
    & ! [X107: $int,X108: $int,X109: $int] :
        ( ( 10 != a(X109) )
        | ( X107 = X108 )
        | ( X108 = X109 )
        | ( 2 != b(X109) )
        | ( 6 != a(X107) )
        | ( 5 != a(X108) )
        | ~ $less(X109,X108)
        | ( 5 != b(X108) )
        | ( X107 = X109 ) )
    & ! [X110: $int,X111: $int] :
        ( ( X110 = X111 )
        | ( 10 != a(X110) )
        | ( 10 != a(X111) ) )
    & ! [X112: $int,X113: $int,X114: $int] :
        ( ~ $less(X114,X112)
        | ( 2 != b(X114) )
        | ( X112 = X114 )
        | ( 5 != b(X112) )
        | ( X113 = X114 )
        | ( 4 != a(X113) )
        | ( 10 != a(X114) )
        | ( X112 = X113 )
        | ( 1 != a(X112) ) )
    & ! [X115: $int,X116: $int,X117: $int] :
        ( ~ $less(X115,X116)
        | ( 10 != a(X115) )
        | ( 5 != a(X116) )
        | ( X115 = X117 )
        | ( X116 = X117 )
        | ( X115 = X116 )
        | ( 2 != b(X117) )
        | ~ $less(b(X115),3)
        | ( 5 != b(X116) )
        | ( 7 != a(X117) ) )
    & ! [X118: $int,X119: $int,X120: $int] :
        ( ( X119 = X120 )
        | ( 5 != b(X118) )
        | ( 4 != a(X119) )
        | ( 10 != a(X120) )
        | ( 5 != a(X118) )
        | ~ $less(X120,X118)
        | ( 2 != b(X120) )
        | ( X118 = X120 )
        | ( X118 = X119 ) )
    & ! [X121: $int,X122: $int,X123: $int] :
        ( ~ $less(X121,X122)
        | ( 7 != a(X122) )
        | ( 5 != a(X123) )
        | ( 5 != b(X122) )
        | ( X122 = X123 )
        | ( X121 = X123 )
        | ( 2 != b(X121) )
        | ( X121 = X122 )
        | ( 10 != a(X121) ) )
    & ! [X124: $int,X125: $int,X126: $int] :
        ( ( X124 = X125 )
        | ( X125 = X126 )
        | ~ $less(X124,X125)
        | ( X124 = X126 )
        | ( 12 != a(X125) )
        | ( 8 != a(X126) )
        | ( 2 != b(X124) )
        | ~ $less(b(X126),4)
        | ( 10 != a(X124) ) )
    & ! [X127: $int,X128: $int,X129: $int,X130: $int] :
        ( ( 5 != b(X130) )
        | ( X129 = X130 )
        | ( X128 = X130 )
        | ~ $less(X127,X128)
        | ( X127 = X129 )
        | ( 2 != a(X130) )
        | ( X127 = X128 )
        | ( X127 = X130 )
        | ( X128 = X129 )
        | ( 5 != a(X128) )
        | ( 7 != a(X129) )
        | ( 10 != a(X127) )
        | ~ $less(b(X127),3) )
    & ! [X131: $int,X132: $int] :
        ( ~ $less(X132,X131)
        | ( 10 != a(X132) )
        | ( X131 = X132 )
        | ~ $less(b(X132),3)
        | ( 8 != a(X131) ) )
    & ! [X133: $int,X134: $int,X135: $int] :
        ( ( X133 = X134 )
        | ( X133 = X135 )
        | ( 10 != a(X134) )
        | ( 8 != a(X135) )
        | ( X134 = X135 )
        | ( 7 != a(X133) )
        | ~ $less(b(X134),3)
        | ~ $less(X134,X133) )
    & ! [X136: $int] :
        ( ~ $less(12,a(X136))
        & ~ $less(a(X136),1) )
    & ! [X137: $int,X138: $int,X139: $int] :
        ( ( X138 = X139 )
        | ( X137 = X139 )
        | ( 2 != b(X139) )
        | ( X137 = X138 )
        | ( 10 != a(X139) )
        | ( 5 != b(X137) )
        | ~ $less(X139,X138)
        | ( 4 != a(X138) ) )
    & ! [X140: $int,X141: $int,X142: $int] :
        ( ( 10 != a(X141) )
        | ( 2 != a(X142) )
        | ( X140 = X142 )
        | ~ $less(X141,X142)
        | ~ $less(b(X140),4)
        | ( 5 != b(X142) )
        | ( 2 != b(X141) )
        | ( X140 = X141 )
        | ( 7 != a(X140) )
        | ( X141 = X142 ) )
    & ! [X143: $int,X144: $int,X145: $int] :
        ( ( 10 != a(X145) )
        | ( X144 = X145 )
        | ( X143 = X145 )
        | ( 5 != b(X144) )
        | ( X143 = X144 )
        | ( 12 != a(X144) )
        | ~ $less(X145,X144)
        | ( 2 != b(X145) )
        | ( 5 != a(X143) ) )
    & ! [X146: $int,X147: $int,X148: $int] :
        ( ( X146 = X148 )
        | ( 10 != a(X146) )
        | ( 4 != a(X148) )
        | ( 2 != b(X146) )
        | ( X146 = X147 )
        | ( 4 != a(X147) )
        | ( X147 = X148 )
        | ~ $less(X146,X148)
        | ( 5 != b(X148) ) )
    & $less(b(z2),3)
    & ! [X149: $int,X150: $int,X151: $int,X152: $int] :
        ( ( X150 = X152 )
        | ~ $less(X149,X152)
        | ( X149 = X152 )
        | ( 1 != a(X150) )
        | ( X149 = X151 )
        | ~ $less(b(X149),3)
        | ( X149 = X150 )
        | ( X150 = X151 )
        | ( X151 = X152 )
        | ( 5 != a(X152) )
        | ( 10 != a(X149) )
        | ( 8 != a(X151) ) )
    & ! [X153: $int,X154: $int,X155: $int,X156: $int] :
        ( ( X154 = X155 )
        | ( 1 != a(X154) )
        | ~ $less(X153,X155)
        | ( 10 != a(X153) )
        | ( X153 = X154 )
        | ( 5 != b(X156) )
        | ( 5 != a(X155) )
        | ( X153 = X155 )
        | ( X154 = X156 )
        | ~ $less(b(X153),3)
        | ( X155 = X156 )
        | ( X153 = X156 ) )
    & ! [X157: $int,X158: $int,X159: $int] :
        ( ( 10 != a(X159) )
        | ( 5 != a(X158) )
        | ( 5 != b(X157) )
        | ( X157 = X159 )
        | ~ $less(X159,X157)
        | ( X158 = X159 )
        | ( 2 != b(X159) )
        | ( X157 = X158 )
        | ( 6 != a(X157) ) )
    & ( z1 != z5 )
    & ! [X160: $int,X161: $int,X162: $int] :
        ( ( 7 != a(X160) )
        | ( 6 != a(X162) )
        | ( X161 = X162 )
        | ( X160 = X162 )
        | ( 10 != a(X161) )
        | ~ $less(X161,X162)
        | ( X160 = X161 )
        | ~ $less(b(X161),3)
        | ( 5 != b(X162) ) )
    & ! [X163: $int,X164: $int,X165: $int] :
        ( ~ $less(b(X164),3)
        | ( 1 != a(X165) )
        | ~ $less(X164,X165)
        | ( 5 != b(X165) )
        | ( 7 != a(X163) )
        | ( 10 != a(X164) )
        | ( X163 = X164 )
        | ( X163 = X165 )
        | ( 2 != b(X163) )
        | ( X164 = X165 ) )
    & ! [X166: $int,X167: $int,X168: $int] :
        ( ( 2 != b(X168) )
        | ~ $less(X167,X166)
        | ( X167 = X168 )
        | ( 8 != a(X168) )
        | ( 10 != a(X167) )
        | ~ $less(b(X167),3)
        | ( 2 != a(X166) )
        | ( X166 = X167 )
        | ( X166 = X168 ) )
    & ( 7 = a(z3) )
    & ! [X169: $int,X170: $int,X171: $int] :
        ( ( X169 = X171 )
        | ( 5 != a(X171) )
        | ( X170 = X171 )
        | ( 5 != b(X170) )
        | ( 10 != a(X169) )
        | ( X169 = X170 )
        | ( 2 != b(X169) )
        | ~ $less(X169,X171) )
    & ! [X172: $int,X173: $int,X174: $int] :
        ( ( 2 != b(X172) )
        | ( X173 = X174 )
        | ( X172 = X173 )
        | ~ $less(X172,X173)
        | ( 4 != a(X173) )
        | ( 5 != b(X173) )
        | ( X172 = X174 )
        | ( 7 != a(X174) )
        | ( 10 != a(X172) ) )
    & ( z1 != z2 )
    & ! [X175: $int,X176: $int,X177: $int,X178: $int] :
        ( ( X175 = X176 )
        | ( X175 = X177 )
        | ( 4 != a(X176) )
        | ~ $less(b(X177),3)
        | ( X177 = X178 )
        | ( X175 = X178 )
        | ( 10 != a(X177) )
        | ~ $less(X177,X176)
        | ( 2 != b(X175) )
        | ( X176 = X178 )
        | ( 8 != a(X178) )
        | ( X176 = X177 ) )
    & ! [X179: $int,X180: $int,X181: $int,X182: $int] :
        ( ( 5 != b(X182) )
        | ~ $less(b(X181),3)
        | ~ $less(X181,X182)
        | ( 5 != a(X182) )
        | ( X180 = X182 )
        | ( 7 != a(X180) )
        | ( X179 = X182 )
        | ( 10 != a(X181) )
        | ( X179 = X180 )
        | ( X179 = X181 )
        | ( X180 = X181 )
        | ( X181 = X182 )
        | ( 2 != a(X179) ) )
    & ! [X183: $int,X184: $int,X185: $int,X186: $int] :
        ( ( 5 != b(X185) )
        | ( X183 = X186 )
        | ( X184 = X185 )
        | ~ $less(X186,X183)
        | ( 10 != a(X186) )
        | ( X184 = X186 )
        | ( 5 != a(X183) )
        | ( 2 != b(X184) )
        | ~ $less(b(X186),3)
        | ( X183 = X184 )
        | ( X183 = X185 )
        | ( X185 = X186 ) )
    & ! [X187: $int,X188: $int,X189: $int] :
        ( ( 5 != a(X189) )
        | ( X187 = X189 )
        | ( 8 != a(X188) )
        | ( 10 != a(X187) )
        | ~ $less(X187,X189)
        | ( X188 = X189 )
        | ( X187 = X188 )
        | ( 2 != b(X187) ) )
    & ! [X190: $int,X191: $int,X192: $int] :
        ( ( 2 != b(X191) )
        | ( X190 = X191 )
        | ( 10 != a(X191) )
        | ~ $less(X191,X190)
        | ( X191 = X192 )
        | ( X190 = X192 )
        | ( 12 != a(X190) )
        | ( 4 != a(X192) )
        | ( 5 != b(X190) ) )
    & ! [X193: $int,X194: $int,X195: $int] :
        ( ~ $less(X195,X193)
        | ( 2 != b(X195) )
        | ( X194 = X195 )
        | ( 12 != a(X193) )
        | ( X193 = X195 )
        | ( 10 != a(X195) )
        | ( 6 != a(X194) )
        | ( 5 != b(X193) )
        | ( X193 = X194 ) )
    & ! [X196: $int,X197: $int,X198: $int] :
        ( ( 10 != a(X198) )
        | ( 6 != a(X197) )
        | ( 5 != b(X196) )
        | ( 2 != b(X198) )
        | ( 4 != a(X196) )
        | ( X196 = X197 )
        | ( X196 = X198 )
        | ~ $less(X198,X196)
        | ( X197 = X198 ) )
    & ! [X199: $int,X200: $int,X201: $int,X202: $int] :
        ( ( 10 != a(X199) )
        | ( X199 = X202 )
        | ( X200 = X201 )
        | ( X201 = X202 )
        | ( 4 != a(X200) )
        | ~ $less(b(X199),3)
        | ( X200 = X202 )
        | ( X199 = X201 )
        | ( 7 != a(X201) )
        | ~ $less(X199,X200)
        | ( 2 != b(X201) )
        | ( 5 != b(X202) )
        | ( X199 = X200 ) )
    & ( z2 != z4 )
    & ! [X203: $int,X204: $int,X205: $int] :
        ( ( 10 != a(X205) )
        | ( 6 != a(X203) )
        | ( X204 = X205 )
        | ( X203 = X205 )
        | ( 5 != b(X204) )
        | ( X203 = X204 )
        | ~ $less(b(X205),3)
        | ~ $less(X205,X203) )
    & ! [X206: $int,X207: $int,X208: $int] :
        ( ( X207 = X208 )
        | ( 10 != a(X207) )
        | ( X206 = X207 )
        | ( 2 != b(X208) )
        | ( 8 != a(X208) )
        | ~ $less(b(X207),3)
        | ( 1 != a(X206) )
        | ( X206 = X208 )
        | ~ $less(X207,X206) )
    & ! [X209: $int,X210: $int,X211: $int] :
        ( ( 2 != b(X210) )
        | ( 7 != a(X209) )
        | ( 5 != b(X209) )
        | ( X209 = X210 )
        | ~ $less(X210,X209)
        | ( X209 = X211 )
        | ( X210 = X211 )
        | ( 10 != a(X210) )
        | ( 4 != a(X211) ) )
    & ! [X212: $int,X213: $int,X214: $int,X215: $int] :
        ( ( 5 != b(X214) )
        | ~ $less(X212,X214)
        | ( X214 = X215 )
        | ~ $less(b(X212),3)
        | ( 7 != a(X214) )
        | ( X213 = X214 )
        | ( X212 = X213 )
        | ( X213 = X215 )
        | ( 2 != b(X215) )
        | ( X212 = X214 )
        | ( 10 != a(X212) )
        | ( X212 = X215 )
        | ( 4 != a(X213) ) )
    & ! [X216: $int,X217: $int,X218: $int,X219: $int] :
        ( ( X218 = X219 )
        | ( X216 = X218 )
        | ( X217 = X218 )
        | ~ $less(b(X216),3)
        | ( X217 = X219 )
        | ( X216 = X219 )
        | ( 2 != b(X217) )
        | ( 2 != b(X219) )
        | ( 10 != a(X216) )
        | ( 5 != a(X217) )
        | ( 5 != a(X218) )
        | ( X216 = X217 )
        | ~ $less(X216,X218)
        | ( 5 != b(X218) ) )
    & ! [X220: $int,X221: $int,X222: $int] :
        ( ( X220 = X222 )
        | ( 8 != a(X221) )
        | ( 10 != a(X222) )
        | ( X220 = X221 )
        | ( 1 != a(X220) )
        | ( 2 != b(X222) )
        | ( X221 = X222 )
        | ~ $less(X222,X220)
        | ~ $less(b(X221),4) )
    & ! [X223: $int,X224: $int,X225: $int] :
        ( ( 2 != b(X224) )
        | ( X223 = X224 )
        | ( 5 != b(X223) )
        | ( 4 != a(X223) )
        | ~ $less(b(X225),3)
        | ( X224 = X225 )
        | ( 10 != a(X225) )
        | ( X223 = X225 )
        | ( 7 != a(X224) )
        | ~ $less(X225,X223) )
    & ! [X226: $int,X227: $int,X228: $int] :
        ( ~ $less(X228,X227)
        | ( 2 != a(X227) )
        | ( X227 = X228 )
        | ( 2 != b(X228) )
        | ( 5 != b(X227) )
        | ( X226 = X227 )
        | ( X226 = X228 )
        | ( 10 != a(X228) )
        | ( 4 != a(X226) ) )
    & ! [X229: $int,X230: $int,X231: $int] :
        ( ( 5 != a(X231) )
        | ( X229 = X230 )
        | ~ $less(X230,X229)
        | ( X230 = X231 )
        | ( 2 != b(X230) )
        | ( 10 != a(X230) )
        | ( 5 != b(X229) )
        | ( X229 = X231 )
        | ( 2 != a(X229) ) )
    & ! [X232: $int,X233: $int,X234: $int] :
        ( ( 10 != a(X232) )
        | ~ $less(X232,X234)
        | ~ $less(b(X232),3)
        | ( 7 != a(X234) )
        | ( X232 = X234 )
        | ( 6 != a(X233) )
        | ( X232 = X233 )
        | ( 5 != b(X234) )
        | ( X233 = X234 ) )
    & ! [X235: $int,X236: $int,X237: $int,X238: $int] :
        ( ( 5 != b(X235) )
        | ( X236 = X237 )
        | ( 10 != a(X236) )
        | ~ $less(X236,X237)
        | ( X235 = X237 )
        | ( 2 != b(X238) )
        | ( X236 = X238 )
        | ( 4 != a(X237) )
        | ( X235 = X236 )
        | ~ $less(b(X236),3)
        | ( X235 = X238 )
        | ( X237 = X238 ) )
    & ! [X239: $int,X240: $int,X241: $int,X242: $int] :
        ( ( 1 != a(X242) )
        | ( X240 = X242 )
        | ( X239 = X240 )
        | ( X241 = X242 )
        | ( 10 != a(X240) )
        | ~ $less(X240,X242)
        | ( 5 != b(X239) )
        | ( 2 != b(X241) )
        | ~ $less(b(X240),3)
        | ( X239 = X241 )
        | ( X239 = X242 )
        | ( X240 = X241 )
        | ( 7 != a(X241) ) )
    & ! [X243: $int,X244: $int,X245: $int] :
        ( ( 10 != a(X243) )
        | ( 2 != b(X245) )
        | ( X243 = X244 )
        | ( 8 != a(X245) )
        | ( X243 = X245 )
        | ( X244 = X245 )
        | ~ $less(b(X243),3)
        | ~ $less(X243,X244)
        | ( 5 != a(X244) ) )
    & ! [X246: $int,X247: $int,X248: $int,X249: $int] :
        ( ( 2 != b(X246) )
        | ~ $less(X249,X247)
        | ( 3 != a(X247) )
        | ( X248 = X249 )
        | ( 7 != a(X246) )
        | ( 10 != a(X249) )
        | ~ $less(b(X249),3)
        | ( X246 = X248 )
        | ~ $less(b(X247),4)
        | ( X247 = X248 )
        | ( 5 != b(X248) )
        | ( X246 = X249 )
        | ( X246 = X247 )
        | ( X247 = X249 ) )
    & ! [X250: $int,X251: $int,X252: $int] :
        ( ( 10 != a(X250) )
        | ( 1 != a(X252) )
        | ( X251 = X252 )
        | ( 5 != a(X251) )
        | ( 2 != b(X250) )
        | ( X250 = X252 )
        | ~ $less(X250,X252)
        | ( 5 != b(X252) )
        | ( X250 = X251 ) )
    & ! [X253: $int,X254: $int,X255: $int] :
        ( ~ $less(X254,X255)
        | ( X254 = X255 )
        | ( 8 != a(X253) )
        | ~ $less(b(X255),4)
        | ( X253 = X255 )
        | ~ $less(b(X254),3)
        | ( 10 != a(X254) )
        | ( 2 != b(X253) )
        | ( 3 != a(X255) )
        | ( X253 = X254 ) )
    & ( 10 = a(z2) )
    & ! [X256: $int,X257: $int,X258: $int,X259: $int] :
        ( ( 5 != a(X256) )
        | ( X256 = X259 )
        | ( 5 != b(X258) )
        | ( X256 = X258 )
        | ( X258 = X259 )
        | ( 2 != b(X259) )
        | ~ $less(X257,X258)
        | ( 6 != a(X258) )
        | ( 10 != a(X257) )
        | ( X257 = X258 )
        | ( X257 = X259 )
        | ( X256 = X257 )
        | ~ $less(b(X257),3) )
    & ! [X260: $int,X261: $int,X262: $int] :
        ( ( 2 != b(X261) )
        | ( X260 = X261 )
        | ~ $less(b(X262),4)
        | ( 7 != a(X262) )
        | ( X260 = X262 )
        | ( X261 = X262 )
        | ( 1 != a(X260) )
        | ~ $less(X261,X260)
        | ( 5 != b(X260) )
        | ( 10 != a(X261) ) )
    & ! [X263: $int,X264: $int,X265: $int,X266: $int] :
        ( ( X264 = X266 )
        | ( X263 = X264 )
        | ( X263 = X265 )
        | ( 5 != a(X263) )
        | ~ $less(X266,X265)
        | ( X265 = X266 )
        | ( 2 != a(X264) )
        | ( 5 != b(X265) )
        | ~ $less(b(X266),3)
        | ( 7 != a(X265) )
        | ( X264 = X265 )
        | ( X263 = X266 )
        | ( 10 != a(X266) ) )
    & ! [X267: $int,X268: $int,X269: $int] :
        ( ( 2 != b(X268) )
        | ( X267 = X269 )
        | ( 12 != a(X269) )
        | ( X268 = X269 )
        | ( 5 != b(X269) )
        | ( 7 != a(X268) )
        | ~ $less(X267,X269)
        | ~ $less(b(X267),3)
        | ( 10 != a(X267) )
        | ( X267 = X268 ) )
    & ! [X270: $int,X271: $int,X272: $int] :
        ( ( X270 = X271 )
        | ( 5 != b(X272) )
        | ~ $less(X270,X272)
        | ( X271 = X272 )
        | ( 10 != a(X270) )
        | ( 6 != a(X271) )
        | ( X270 = X272 )
        | ( 6 != a(X272) )
        | ~ $less(b(X270),3) )
    & ! [X273: $int,X274: $int,X275: $int,X276: $int] :
        ( ( 2 != b(X276) )
        | ( X273 = X276 )
        | ( 2 != a(X273) )
        | ( 5 != b(X275) )
        | ( X274 = X276 )
        | ( X273 = X275 )
        | ( 7 != a(X276) )
        | ~ $less(X274,X273)
        | ~ $less(b(X274),3)
        | ( 10 != a(X274) )
        | ( X273 = X274 )
        | ( X274 = X275 )
        | ( X275 = X276 ) )
    & ! [X277: $int,X278: $int,X279: $int] :
        ( ~ $less(X279,X277)
        | ( X277 = X279 )
        | ( 2 != b(X279) )
        | ( X278 = X279 )
        | ( 10 != a(X279) )
        | ( X277 = X278 )
        | ( 5 != b(X277) )
        | ( 6 != a(X278) )
        | ( 2 != a(X277) ) )
    & ! [X280: $int,X281: $int,X282: $int,X283: $int] :
        ( ( 1 != a(X280) )
        | ( 10 != a(X282) )
        | ( X280 = X282 )
        | ~ $less(b(X282),3)
        | ( 4 != a(X281) )
        | ( X280 = X283 )
        | ( 5 != b(X283) )
        | ( X281 = X282 )
        | ( X281 = X283 )
        | ( X282 = X283 )
        | ( X280 = X281 )
        | ~ $less(X282,X281) )
    & ! [X284: $int,X285: $int,X286: $int,X287: $int] :
        ( ~ $less(b(X287),4)
        | ( X285 = X286 )
        | ( X286 = X287 )
        | ~ $less(X285,X286)
        | ( 8 != a(X287) )
        | ( X285 = X287 )
        | ~ $less(b(X285),3)
        | ( 10 != a(X285) )
        | ( X284 = X286 )
        | ( X284 = X287 )
        | ( 2 != b(X284) )
        | ( X284 = X285 )
        | ~ $less(b(X286),4)
        | ( 3 != a(X286) ) ) ),
    inference(rectify,[],[f19]) ).

tff(f19,plain,
    ( ! [X243: $int,X246: $int,X244: $int,X245: $int] :
        ( ~ $less(X244,X245)
        | ( X243 = X246 )
        | ( X244 = X246 )
        | ( 5 != b(X245) )
        | ( X243 = X244 )
        | ( 4 != a(X245) )
        | ( 2 != b(X243) )
        | ( X245 = X246 )
        | ( 10 != a(X244) )
        | ( X244 = X245 )
        | ~ $less(b(X244),3)
        | ( 7 != a(X246) )
        | ( X243 = X245 ) )
    & ! [X90: $int,X91: $int,X89: $int,X88: $int] :
        ( ( X88 = X89 )
        | ( X90 = X91 )
        | ( X88 = X91 )
        | ( 5 != a(X88) )
        | ~ $less(b(X91),3)
        | ( 7 != a(X90) )
        | ( X89 = X90 )
        | ~ $less(X91,X88)
        | ( 5 != b(X88) )
        | ( X89 = X91 )
        | ( X88 = X90 )
        | ( 10 != a(X91) )
        | ( 2 != b(X89) ) )
    & ! [X211: $int,X209: $int,X208: $int,X210: $int] :
        ( ~ $less(X210,X208)
        | ( 10 != a(X210) )
        | ( X208 = X209 )
        | ( X208 = X210 )
        | ( 1 != a(X208) )
        | ( 2 != b(X210) )
        | ~ $less(b(X211),4)
        | ( X209 = X210 )
        | ( 5 != b(X209) )
        | ( X208 = X211 )
        | ( X210 = X211 )
        | ( X209 = X211 )
        | ( 7 != a(X211) ) )
    & ( z3 != z5 )
    & ! [X213: $int,X212: $int,X215: $int,X214: $int] :
        ( ( 2 != b(X213) )
        | ( X214 = X215 )
        | ( 10 != a(X212) )
        | ( X213 = X214 )
        | ( X212 = X213 )
        | ( 8 != a(X214) )
        | ( X212 = X215 )
        | ~ $less(b(X212),3)
        | ( X212 = X214 )
        | ( 5 != a(X215) )
        | ( X213 = X215 )
        | ~ $less(X212,X215) )
    & ! [X10: $int,X9: $int,X8: $int] :
        ( ~ $less(b(X10),3)
        | ( X8 = X10 )
        | ( 10 != a(X10) )
        | ( X9 = X10 )
        | ( X8 = X9 )
        | ( 6 != a(X9) )
        | ~ $less(X10,X9)
        | ( 8 != a(X8) ) )
    & ! [X11: $int,X12: $int,X13: $int] :
        ( ( X12 = X13 )
        | ( 10 != a(X13) )
        | ( X11 = X12 )
        | ( 5 != a(X12) )
        | ( X11 = X13 )
        | ( 5 != b(X11) )
        | ( 5 != a(X11) )
        | ~ $less(X13,X11)
        | ( 2 != b(X13) ) )
    & ( z2 != z5 )
    & ! [X236: $int,X238: $int,X239: $int,X237: $int] :
        ( ~ $less(X239,X236)
        | ~ $less(b(X239),3)
        | ( 8 != a(X238) )
        | ( X236 = X237 )
        | ( 5 != a(X236) )
        | ( X237 = X239 )
        | ( X236 = X238 )
        | ( 2 != a(X237) )
        | ( 10 != a(X239) )
        | ( X238 = X239 )
        | ( X237 = X238 )
        | ( X236 = X239 ) )
    & ! [X223: $int,X225: $int,X224: $int] :
        ( ( X223 = X225 )
        | ( X224 = X225 )
        | ~ $less(X223,X225)
        | ( 2 != b(X223) )
        | ( 5 != a(X224) )
        | ( X223 = X224 )
        | ( 10 != a(X223) )
        | ( 5 != b(X225) )
        | ( 4 != a(X225) ) )
    & ! [X258: $int,X257: $int,X256: $int] :
        ( ( 5 != b(X258) )
        | ( X256 = X258 )
        | ( 10 != a(X257) )
        | ( X256 = X257 )
        | ( 5 != a(X258) )
        | ( 7 != a(X256) )
        | ( X257 = X258 )
        | ~ $less(X257,X258)
        | ( 2 != b(X257) ) )
    & ! [X157: $int,X159: $int,X160: $int,X158: $int] :
        ( ( X157 = X158 )
        | ( X158 = X159 )
        | ( 10 != a(X160) )
        | ( 5 != b(X158) )
        | ( X157 = X160 )
        | ~ $less(X160,X158)
        | ( X159 = X160 )
        | ~ $less(b(X160),3)
        | ( X157 = X159 )
        | ( 5 != a(X158) )
        | ( 2 != b(X157) )
        | ( 6 != a(X159) )
        | ( X158 = X160 ) )
    & ! [X178: $int,X180: $int,X179: $int] :
        ( ( 2 != b(X178) )
        | ( 5 != b(X180) )
        | ( 10 != a(X178) )
        | ( X178 = X180 )
        | ( X179 = X180 )
        | ( 6 != a(X180) )
        | ~ $less(X178,X180)
        | ( X178 = X179 )
        | ( 4 != a(X179) ) )
    & ! [X27: $int,X29: $int,X28: $int] :
        ( ( X27 = X29 )
        | ~ $less(b(X29),3)
        | ( 2 != b(X27) )
        | ( 2 != a(X28) )
        | ( X28 = X29 )
        | ( 5 != b(X28) )
        | ( X27 = X28 )
        | ( 7 != a(X27) )
        | ( 10 != a(X29) )
        | ~ $less(X29,X28) )
    & ( 1 = a(z4) )
    & ( z1 != z4 )
    & ! [X60: $int,X61: $int] :
        ( ~ $less(b(X61),3)
        | ( X60 = X61 )
        | ( 9 != a(X60) )
        | ( 10 != a(X61) )
        | ~ $less(X61,X60) )
    & ! [X0: $int] :
        ( ~ $less(5,b(X0))
        & ~ $less(b(X0),1) )
    & ! [X162: $int,X163: $int,X161: $int] :
        ( ~ $less(X163,X161)
        | ( 2 != b(X163) )
        | ~ $less(b(X162),4)
        | ( 8 != a(X162) )
        | ( 3 != a(X161) )
        | ( X161 = X162 )
        | ( X161 = X163 )
        | ( X162 = X163 )
        | ~ $less(b(X161),4)
        | ( 10 != a(X163) ) )
    & ! [X128: $int,X129: $int,X130: $int] :
        ( ( 10 != a(X130) )
        | ( X129 = X130 )
        | ( 5 != b(X129) )
        | ~ $less(b(X130),3)
        | ~ $less(X130,X128)
        | ( 7 != a(X128) )
        | ( X128 = X129 )
        | ( X128 = X130 ) )
    & ( 5 = b(z4) )
    & ! [X218: $int,X217: $int,X216: $int,X219: $int] :
        ( ( 2 != a(X219) )
        | ~ $less(b(X216),3)
        | ( 10 != a(X216) )
        | ( 4 != a(X217) )
        | ~ $less(X216,X217)
        | ( X216 = X217 )
        | ( X217 = X218 )
        | ( X218 = X219 )
        | ( 8 != a(X218) )
        | ( X217 = X219 )
        | ( X216 = X218 )
        | ( X216 = X219 ) )
    & $less(z2,z1)
    & ! [X45: $int,X43: $int,X44: $int] :
        ( ( X44 = X45 )
        | ( 6 != a(X44) )
        | ( 10 != a(X45) )
        | ( 5 != b(X43) )
        | ~ $less(b(X45),3)
        | ( 2 != b(X44) )
        | ( X43 = X45 )
        | ~ $less(X45,X43)
        | ( 5 != a(X43) )
        | ( X43 = X44 ) )
    & ( z1 != z3 )
    & ! [X153: $int,X152: $int,X150: $int,X151: $int] :
        ( ( X151 = X152 )
        | ( 3 != a(X150) )
        | ~ $less(b(X151),4)
        | ( 5 != b(X153) )
        | ( X152 = X153 )
        | ( X150 = X151 )
        | ( 7 != a(X151) )
        | ~ $less(b(X150),4)
        | ~ $less(X152,X150)
        | ( X150 = X152 )
        | ( 10 != a(X152) )
        | ( 2 != b(X152) )
        | ( X151 = X153 )
        | ( X150 = X153 ) )
    & ( z4 != z5 )
    & ! [X68: $int,X71: $int,X69: $int,X70: $int] :
        ( ( X69 = X71 )
        | ~ $less(X71,X69)
        | ( X70 = X71 )
        | ( 4 != a(X69) )
        | ~ $less(b(X71),3)
        | ( X68 = X70 )
        | ( 5 != b(X68) )
        | ( 2 != a(X70) )
        | ( 10 != a(X71) )
        | ( X69 = X70 )
        | ( X68 = X69 )
        | ( X68 = X71 ) )
    & ( z2 != z3 )
    & ! [X207: $int,X205: $int,X206: $int] :
        ( ( X205 = X207 )
        | ~ $less(b(X207),3)
        | ( 8 != a(X205) )
        | ( 10 != a(X207) )
        | ( 12 != a(X206) )
        | ( X206 = X207 )
        | ( 2 != b(X205) )
        | ~ $less(X207,X206)
        | ( X205 = X206 ) )
    & ! [X59: $int,X58: $int,X57: $int] :
        ( ( X57 = X58 )
        | ( 1 != a(X58) )
        | ( X57 = X59 )
        | ( X58 = X59 )
        | ( 6 != a(X57) )
        | ( 5 != b(X58) )
        | ( 2 != b(X59) )
        | ( 10 != a(X59) )
        | ~ $less(X59,X58) )
    & ( 5 = b(z3) )
    & ! [X193: $int,X191: $int,X192: $int] :
        ( ( 4 != a(X193) )
        | ( X191 = X193 )
        | ( X191 = X192 )
        | ( X192 = X193 )
        | ( 2 != b(X191) )
        | ~ $less(b(X192),3)
        | ( 10 != a(X192) )
        | ( 8 != a(X191) )
        | ~ $less(X192,X193) )
    & ! [X168: $int,X170: $int,X169: $int] :
        ( ( 5 != b(X170) )
        | ~ $less(b(X168),3)
        | ( X168 = X169 )
        | ( 7 != a(X169) )
        | ( 7 != a(X170) )
        | ( X169 = X170 )
        | ~ $less(X168,X170)
        | ( X168 = X170 )
        | ( 10 != a(X168) ) )
    & ! [X248: $int,X250: $int,X247: $int,X249: $int] :
        ( ~ $less(X248,X249)
        | ( 5 != a(X247) )
        | ~ $less(b(X248),3)
        | ( X247 = X249 )
        | ( 7 != a(X249) )
        | ( 5 != b(X249) )
        | ( X247 = X250 )
        | ( 2 != b(X250) )
        | ( X248 = X250 )
        | ( 10 != a(X248) )
        | ( X249 = X250 )
        | ( X247 = X248 )
        | ( X248 = X249 ) )
    & ! [X117: $int,X119: $int,X116: $int,X118: $int] :
        ( ( 10 != a(X117) )
        | ( X117 = X119 )
        | ( X116 = X118 )
        | ( 7 != a(X118) )
        | ~ $less(X117,X116)
        | ( X118 = X119 )
        | ( X116 = X119 )
        | ( 2 != b(X117) )
        | ~ $less(b(X118),4)
        | ( X117 = X118 )
        | ( 2 != a(X116) )
        | ( 5 != b(X119) )
        | ( X116 = X117 ) )
    & ! [X279: $int,X281: $int,X280: $int] :
        ( ( X279 = X281 )
        | ( 10 != a(X280) )
        | ~ $less(X280,X279)
        | ( 4 != a(X279) )
        | ( 2 != b(X280) )
        | ( X279 = X280 )
        | ( 8 != a(X281) )
        | ( X280 = X281 ) )
    & ! [X112: $int,X109: $int,X110: $int,X111: $int] :
        ( ( 2 != b(X111) )
        | ( X109 = X112 )
        | ( 10 != a(X109) )
        | ~ $less(X109,X112)
        | ( 12 != a(X112) )
        | ( 7 != a(X111) )
        | ~ $less(b(X109),3)
        | ( X109 = X111 )
        | ( 5 != b(X110) )
        | ( X111 = X112 )
        | ( X110 = X111 )
        | ( X109 = X110 )
        | ( X110 = X112 ) )
    & ( 5 = a(z1) )
    & ! [X272: $int,X273: $int,X274: $int,X271: $int] :
        ( ( X271 = X273 )
        | ~ $less(b(X272),4)
        | ( 12 != a(X271) )
        | ( 7 != a(X272) )
        | ( 5 != b(X273) )
        | ( 2 != b(X274) )
        | ( X272 = X274 )
        | ( X272 = X273 )
        | ~ $less(X274,X271)
        | ( X273 = X274 )
        | ( X271 = X274 )
        | ( 10 != a(X274) )
        | ( X271 = X272 ) )
    & ! [X92: $int,X94: $int,X93: $int] :
        ( ( 10 != a(X94) )
        | ~ $less(b(X93),4)
        | ( X92 = X94 )
        | ( X93 = X94 )
        | ( X92 = X93 )
        | ( 2 != b(X94) )
        | ( 5 != b(X92) )
        | ( 7 != a(X93) )
        | ~ $less(X94,X92)
        | ( 12 != a(X92) ) )
    & ! [X37: $int,X38: $int,X36: $int,X39: $int] :
        ( ( 10 != a(X39) )
        | ( X36 = X38 )
        | ~ $less(X39,X37)
        | ~ $less(b(X39),3)
        | ( 5 != a(X37) )
        | ( X36 = X39 )
        | ( X38 = X39 )
        | ( 5 != b(X38) )
        | ( X36 = X37 )
        | ( X37 = X39 )
        | ( 2 != a(X36) )
        | ( X37 = X38 ) )
    & ! [X148: $int,X147: $int,X149: $int] :
        ( ( X148 = X149 )
        | ( 8 != a(X147) )
        | ( 2 != b(X148) )
        | ~ $less(b(X147),4)
        | ( X147 = X148 )
        | ( X147 = X149 )
        | ( 10 != a(X148) )
        | ( 2 != a(X149) )
        | ~ $less(X148,X149) )
    & ( z3 != z4 )
    & ! [X83: $int,X84: $int,X82: $int] :
        ( ( 10 != a(X82) )
        | ( X83 = X84 )
        | ( X82 = X84 )
        | ( 2 != b(X82) )
        | ( 6 != a(X83) )
        | ( 5 != a(X84) )
        | ~ $less(X82,X84)
        | ( 5 != b(X84) )
        | ( X82 = X83 ) )
    & ! [X254: $int,X255: $int] :
        ( ( X254 = X255 )
        | ( 10 != a(X254) )
        | ( 10 != a(X255) ) )
    & ! [X265: $int,X267: $int,X266: $int] :
        ( ~ $less(X266,X265)
        | ( 2 != b(X266) )
        | ( X265 = X266 )
        | ( 5 != b(X265) )
        | ( X266 = X267 )
        | ( 4 != a(X267) )
        | ( 10 != a(X266) )
        | ( X265 = X267 )
        | ( 1 != a(X265) ) )
    & ! [X282: $int,X283: $int,X284: $int] :
        ( ~ $less(X282,X283)
        | ( 10 != a(X282) )
        | ( 5 != a(X283) )
        | ( X282 = X284 )
        | ( X283 = X284 )
        | ( X282 = X283 )
        | ( 2 != b(X284) )
        | ~ $less(b(X282),3)
        | ( 5 != b(X283) )
        | ( 7 != a(X284) ) )
    & ! [X5: $int,X6: $int,X7: $int] :
        ( ( X6 = X7 )
        | ( 5 != b(X5) )
        | ( 4 != a(X6) )
        | ( 10 != a(X7) )
        | ( 5 != a(X5) )
        | ~ $less(X7,X5)
        | ( 2 != b(X7) )
        | ( X5 = X7 )
        | ( X5 = X6 ) )
    & ! [X131: $int,X132: $int,X133: $int] :
        ( ~ $less(X131,X132)
        | ( 7 != a(X132) )
        | ( 5 != a(X133) )
        | ( 5 != b(X132) )
        | ( X132 = X133 )
        | ( X131 = X133 )
        | ( 2 != b(X131) )
        | ( X131 = X132 )
        | ( 10 != a(X131) ) )
    & ! [X287: $int,X285: $int,X286: $int] :
        ( ( X285 = X287 )
        | ( X285 = X286 )
        | ~ $less(X287,X285)
        | ( X286 = X287 )
        | ( 12 != a(X285) )
        | ( 8 != a(X286) )
        | ( 2 != b(X287) )
        | ~ $less(b(X286),4)
        | ( 10 != a(X287) ) )
    & ! [X97: $int,X95: $int,X98: $int,X96: $int] :
        ( ( 5 != b(X96) )
        | ( X96 = X98 )
        | ( X95 = X96 )
        | ~ $less(X97,X95)
        | ( X97 = X98 )
        | ( 2 != a(X96) )
        | ( X95 = X97 )
        | ( X96 = X97 )
        | ( X95 = X98 )
        | ( 5 != a(X95) )
        | ( 7 != a(X98) )
        | ( 10 != a(X97) )
        | ~ $less(b(X97),3) )
    & ! [X14: $int,X15: $int] :
        ( ~ $less(X15,X14)
        | ( 10 != a(X15) )
        | ( X14 = X15 )
        | ~ $less(b(X15),3)
        | ( 8 != a(X14) ) )
    & ! [X143: $int,X141: $int,X142: $int] :
        ( ( X141 = X143 )
        | ( X142 = X143 )
        | ( 10 != a(X141) )
        | ( 8 != a(X142) )
        | ( X141 = X142 )
        | ( 7 != a(X143) )
        | ~ $less(b(X141),3)
        | ~ $less(X141,X143) )
    & ! [X16: $int] :
        ( ~ $less(12,a(X16))
        & ~ $less(a(X16),1) )
    & ! [X181: $int,X183: $int,X182: $int] :
        ( ( X182 = X183 )
        | ( X181 = X182 )
        | ( 2 != b(X182) )
        | ( X181 = X183 )
        | ( 10 != a(X182) )
        | ( 5 != b(X181) )
        | ~ $less(X182,X183)
        | ( 4 != a(X183) ) )
    & ! [X253: $int,X251: $int,X252: $int] :
        ( ( 10 != a(X251) )
        | ( 2 != a(X252) )
        | ( X252 = X253 )
        | ~ $less(X251,X252)
        | ~ $less(b(X253),4)
        | ( 5 != b(X252) )
        | ( 2 != b(X251) )
        | ( X251 = X253 )
        | ( 7 != a(X253) )
        | ( X251 = X252 ) )
    & ! [X145: $int,X144: $int,X146: $int] :
        ( ( 10 != a(X146) )
        | ( X144 = X146 )
        | ( X145 = X146 )
        | ( 5 != b(X144) )
        | ( X144 = X145 )
        | ( 12 != a(X144) )
        | ~ $less(X146,X144)
        | ( 2 != b(X146) )
        | ( 5 != a(X145) ) )
    & ! [X262: $int,X263: $int,X264: $int] :
        ( ( X262 = X264 )
        | ( 10 != a(X262) )
        | ( 4 != a(X264) )
        | ( 2 != b(X262) )
        | ( X262 = X263 )
        | ( 4 != a(X263) )
        | ( X263 = X264 )
        | ~ $less(X262,X264)
        | ( 5 != b(X264) ) )
    & $less(b(z2),3)
    & ! [X123: $int,X122: $int,X121: $int,X120: $int] :
        ( ( X120 = X122 )
        | ~ $less(X123,X120)
        | ( X120 = X123 )
        | ( 1 != a(X122) )
        | ( X121 = X123 )
        | ~ $less(b(X123),3)
        | ( X122 = X123 )
        | ( X121 = X122 )
        | ( X120 = X121 )
        | ( 5 != a(X120) )
        | ( 10 != a(X123) )
        | ( 8 != a(X121) ) )
    & ! [X51: $int,X49: $int,X50: $int,X52: $int] :
        ( ( X49 = X50 )
        | ( 1 != a(X49) )
        | ~ $less(X51,X50)
        | ( 10 != a(X51) )
        | ( X49 = X51 )
        | ( 5 != b(X52) )
        | ( 5 != a(X50) )
        | ( X50 = X51 )
        | ( X49 = X52 )
        | ~ $less(b(X51),3)
        | ( X50 = X52 )
        | ( X51 = X52 ) )
    & ! [X140: $int,X139: $int,X138: $int] :
        ( ( 10 != a(X138) )
        | ( 5 != a(X139) )
        | ( 5 != b(X140) )
        | ( X138 = X140 )
        | ~ $less(X138,X140)
        | ( X138 = X139 )
        | ( 2 != b(X138) )
        | ( X139 = X140 )
        | ( 6 != a(X140) ) )
    & ( z1 != z5 )
    & ! [X41: $int,X42: $int,X40: $int] :
        ( ( 7 != a(X41) )
        | ( 6 != a(X40) )
        | ( X40 = X42 )
        | ( X40 = X41 )
        | ( 10 != a(X42) )
        | ~ $less(X42,X40)
        | ( X41 = X42 )
        | ~ $less(b(X42),3)
        | ( 5 != b(X40) ) )
    & ! [X74: $int,X73: $int,X72: $int] :
        ( ~ $less(b(X73),3)
        | ( 1 != a(X72) )
        | ~ $less(X73,X72)
        | ( 5 != b(X72) )
        | ( 7 != a(X74) )
        | ( 10 != a(X73) )
        | ( X73 = X74 )
        | ( X72 = X74 )
        | ( 2 != b(X74) )
        | ( X72 = X73 ) )
    & ! [X196: $int,X194: $int,X195: $int] :
        ( ( 2 != b(X195) )
        | ~ $less(X194,X196)
        | ( X194 = X195 )
        | ( 8 != a(X195) )
        | ( 10 != a(X194) )
        | ~ $less(b(X194),3)
        | ( 2 != a(X196) )
        | ( X194 = X196 )
        | ( X195 = X196 ) )
    & ( 7 = a(z3) )
    & ! [X241: $int,X242: $int,X240: $int] :
        ( ( X240 = X241 )
        | ( 5 != a(X240) )
        | ( X240 = X242 )
        | ( 5 != b(X242) )
        | ( 10 != a(X241) )
        | ( X241 = X242 )
        | ( 2 != b(X241) )
        | ~ $less(X241,X240) )
    & ! [X235: $int,X234: $int,X233: $int] :
        ( ( 2 != b(X235) )
        | ( X233 = X234 )
        | ( X234 = X235 )
        | ~ $less(X235,X234)
        | ( 4 != a(X234) )
        | ( 5 != b(X234) )
        | ( X233 = X235 )
        | ( 7 != a(X233) )
        | ( 10 != a(X235) ) )
    & ( z1 != z2 )
    & ! [X276: $int,X278: $int,X277: $int,X275: $int] :
        ( ( X276 = X278 )
        | ( X276 = X277 )
        | ( 4 != a(X278) )
        | ~ $less(b(X277),3)
        | ( X275 = X277 )
        | ( X275 = X276 )
        | ( 10 != a(X277) )
        | ~ $less(X277,X278)
        | ( 2 != b(X276) )
        | ( X275 = X278 )
        | ( 8 != a(X275) )
        | ( X277 = X278 ) )
    & ! [X164: $int,X166: $int,X165: $int,X167: $int] :
        ( ( 5 != b(X167) )
        | ~ $less(b(X165),3)
        | ~ $less(X165,X167)
        | ( 5 != a(X167) )
        | ( X166 = X167 )
        | ( 7 != a(X166) )
        | ( X164 = X167 )
        | ( 10 != a(X165) )
        | ( X164 = X166 )
        | ( X164 = X165 )
        | ( X165 = X166 )
        | ( X165 = X167 )
        | ( 2 != a(X164) ) )
    & ! [X78: $int,X80: $int,X79: $int,X81: $int] :
        ( ( 5 != b(X79) )
        | ( X78 = X81 )
        | ( X79 = X80 )
        | ~ $less(X81,X78)
        | ( 10 != a(X81) )
        | ( X80 = X81 )
        | ( 5 != a(X78) )
        | ( 2 != b(X80) )
        | ~ $less(b(X81),3)
        | ( X78 = X80 )
        | ( X78 = X79 )
        | ( X79 = X81 ) )
    & ! [X62: $int,X63: $int,X64: $int] :
        ( ( 5 != a(X64) )
        | ( X62 = X64 )
        | ( 8 != a(X63) )
        | ( 10 != a(X62) )
        | ~ $less(X62,X64)
        | ( X63 = X64 )
        | ( X62 = X63 )
        | ( 2 != b(X62) ) )
    & ! [X269: $int,X270: $int,X268: $int] :
        ( ( 2 != b(X270) )
        | ( X269 = X270 )
        | ( 10 != a(X270) )
        | ~ $less(X270,X269)
        | ( X268 = X270 )
        | ( X268 = X269 )
        | ( 12 != a(X269) )
        | ( 4 != a(X268) )
        | ( 5 != b(X269) ) )
    & ! [X26: $int,X25: $int,X24: $int] :
        ( ~ $less(X24,X26)
        | ( 2 != b(X24) )
        | ( X24 = X25 )
        | ( 12 != a(X26) )
        | ( X24 = X26 )
        | ( 10 != a(X24) )
        | ( 6 != a(X25) )
        | ( 5 != b(X26) )
        | ( X25 = X26 ) )
    & ! [X87: $int,X86: $int,X85: $int] :
        ( ( 10 != a(X85) )
        | ( 6 != a(X86) )
        | ( 5 != b(X87) )
        | ( 2 != b(X85) )
        | ( 4 != a(X87) )
        | ( X86 = X87 )
        | ( X85 = X87 )
        | ~ $less(X85,X87)
        | ( X85 = X86 ) )
    & ! [X187: $int,X190: $int,X188: $int,X189: $int] :
        ( ( 10 != a(X187) )
        | ( X187 = X189 )
        | ( X188 = X190 )
        | ( X188 = X189 )
        | ( 4 != a(X190) )
        | ~ $less(b(X187),3)
        | ( X189 = X190 )
        | ( X187 = X188 )
        | ( 7 != a(X188) )
        | ~ $less(X187,X190)
        | ( 2 != b(X188) )
        | ( 5 != b(X189) )
        | ( X187 = X190 ) )
    & ( z2 != z4 )
    & ! [X66: $int,X67: $int,X65: $int] :
        ( ( 10 != a(X65) )
        | ( 6 != a(X66) )
        | ( X65 = X67 )
        | ( X65 = X66 )
        | ( 5 != b(X67) )
        | ( X66 = X67 )
        | ~ $less(b(X65),3)
        | ~ $less(X65,X66) )
    & ! [X186: $int,X185: $int,X184: $int] :
        ( ( X184 = X185 )
        | ( 10 != a(X185) )
        | ( X185 = X186 )
        | ( 2 != b(X184) )
        | ( 8 != a(X184) )
        | ~ $less(b(X185),3)
        | ( 1 != a(X186) )
        | ( X184 = X186 )
        | ~ $less(X185,X186) )
    & ! [X34: $int,X35: $int,X33: $int] :
        ( ( 2 != b(X35) )
        | ( 7 != a(X34) )
        | ( 5 != b(X34) )
        | ( X34 = X35 )
        | ~ $less(X35,X34)
        | ( X33 = X34 )
        | ( X33 = X35 )
        | ( 10 != a(X35) )
        | ( 4 != a(X33) ) )
    & ! [X134: $int,X135: $int,X136: $int,X137: $int] :
        ( ( 5 != b(X136) )
        | ~ $less(X134,X136)
        | ( X136 = X137 )
        | ~ $less(b(X134),3)
        | ( 7 != a(X136) )
        | ( X135 = X136 )
        | ( X134 = X135 )
        | ( X135 = X137 )
        | ( 2 != b(X137) )
        | ( X134 = X136 )
        | ( 10 != a(X134) )
        | ( X134 = X137 )
        | ( 4 != a(X135) ) )
    & ! [X100: $int,X102: $int,X101: $int,X99: $int] :
        ( ( X99 = X101 )
        | ( X100 = X101 )
        | ( X101 = X102 )
        | ~ $less(b(X100),3)
        | ( X99 = X102 )
        | ( X99 = X100 )
        | ( 2 != b(X102) )
        | ( 2 != b(X99) )
        | ( 10 != a(X100) )
        | ( 5 != a(X102) )
        | ( 5 != a(X101) )
        | ( X100 = X102 )
        | ~ $less(X100,X101)
        | ( 5 != b(X101) ) )
    & ! [X105: $int,X103: $int,X104: $int] :
        ( ( X104 = X105 )
        | ( 8 != a(X103) )
        | ( 10 != a(X104) )
        | ( X103 = X105 )
        | ( 1 != a(X105) )
        | ( 2 != b(X104) )
        | ( X103 = X104 )
        | ~ $less(X104,X105)
        | ~ $less(b(X103),4) )
    & ! [X155: $int,X156: $int,X154: $int] :
        ( ( 2 != b(X156) )
        | ( X155 = X156 )
        | ( 5 != b(X155) )
        | ( 4 != a(X155) )
        | ~ $less(b(X154),3)
        | ( X154 = X156 )
        | ( 10 != a(X154) )
        | ( X154 = X155 )
        | ( 7 != a(X156) )
        | ~ $less(X154,X155) )
    & ! [X46: $int,X47: $int,X48: $int] :
        ( ~ $less(X48,X47)
        | ( 2 != a(X47) )
        | ( X47 = X48 )
        | ( 2 != b(X48) )
        | ( 5 != b(X47) )
        | ( X46 = X47 )
        | ( X46 = X48 )
        | ( 10 != a(X48) )
        | ( 4 != a(X46) ) )
    & ! [X231: $int,X232: $int,X230: $int] :
        ( ( 5 != a(X230) )
        | ( X231 = X232 )
        | ~ $less(X232,X231)
        | ( X230 = X232 )
        | ( 2 != b(X232) )
        | ( 10 != a(X232) )
        | ( 5 != b(X231) )
        | ( X230 = X231 )
        | ( 2 != a(X231) ) )
    & ! [X115: $int,X113: $int,X114: $int] :
        ( ( 10 != a(X115) )
        | ~ $less(X115,X114)
        | ~ $less(b(X115),3)
        | ( 7 != a(X114) )
        | ( X114 = X115 )
        | ( 6 != a(X113) )
        | ( X113 = X115 )
        | ( 5 != b(X114) )
        | ( X113 = X114 ) )
    & ! [X17: $int,X20: $int,X18: $int,X19: $int] :
        ( ( 5 != b(X17) )
        | ( X18 = X20 )
        | ( 10 != a(X20) )
        | ~ $less(X20,X18)
        | ( X17 = X18 )
        | ( 2 != b(X19) )
        | ( X19 = X20 )
        | ( 4 != a(X18) )
        | ( X17 = X20 )
        | ~ $less(b(X20),3)
        | ( X17 = X19 )
        | ( X18 = X19 ) )
    & ! [X127: $int,X126: $int,X124: $int,X125: $int] :
        ( ( 1 != a(X125) )
        | ( X125 = X126 )
        | ( X126 = X127 )
        | ( X124 = X125 )
        | ( 10 != a(X126) )
        | ~ $less(X126,X125)
        | ( 5 != b(X127) )
        | ( 2 != b(X124) )
        | ~ $less(b(X126),3)
        | ( X124 = X127 )
        | ( X125 = X127 )
        | ( X124 = X126 )
        | ( 7 != a(X124) ) )
    & ! [X23: $int,X21: $int,X22: $int] :
        ( ( 10 != a(X23) )
        | ( 2 != b(X22) )
        | ( X21 = X23 )
        | ( 8 != a(X22) )
        | ( X22 = X23 )
        | ( X21 = X22 )
        | ~ $less(b(X23),3)
        | ~ $less(X23,X21)
        | ( 5 != a(X21) ) )
    & ! [X204: $int,X202: $int,X201: $int,X203: $int] :
        ( ( 2 != b(X204) )
        | ~ $less(X203,X202)
        | ( 3 != a(X202) )
        | ( X201 = X203 )
        | ( 7 != a(X204) )
        | ( 10 != a(X203) )
        | ~ $less(b(X203),3)
        | ( X201 = X204 )
        | ~ $less(b(X202),4)
        | ( X201 = X202 )
        | ( 5 != b(X201) )
        | ( X203 = X204 )
        | ( X202 = X204 )
        | ( X202 = X203 ) )
    & ! [X261: $int,X260: $int,X259: $int] :
        ( ( 10 != a(X261) )
        | ( 1 != a(X259) )
        | ( X259 = X260 )
        | ( 5 != a(X260) )
        | ( 2 != b(X261) )
        | ( X259 = X261 )
        | ~ $less(X261,X259)
        | ( 5 != b(X259) )
        | ( X260 = X261 ) )
    & ! [X175: $int,X177: $int,X176: $int] :
        ( ~ $less(X177,X176)
        | ( X176 = X177 )
        | ( 8 != a(X175) )
        | ~ $less(b(X176),4)
        | ( X175 = X176 )
        | ~ $less(b(X177),3)
        | ( 10 != a(X177) )
        | ( 2 != b(X175) )
        | ( 3 != a(X176) )
        | ( X175 = X177 ) )
    & ( 10 = a(z2) )
    & ! [X228: $int,X226: $int,X229: $int,X227: $int] :
        ( ( 5 != a(X228) )
        | ( X227 = X228 )
        | ( 5 != b(X229) )
        | ( X228 = X229 )
        | ( X227 = X229 )
        | ( 2 != b(X227) )
        | ~ $less(X226,X229)
        | ( 6 != a(X229) )
        | ( 10 != a(X226) )
        | ( X226 = X229 )
        | ( X226 = X227 )
        | ( X226 = X228 )
        | ~ $less(b(X226),3) )
    & ! [X222: $int,X220: $int,X221: $int] :
        ( ( 2 != b(X220) )
        | ( X220 = X222 )
        | ~ $less(b(X221),4)
        | ( 7 != a(X221) )
        | ( X221 = X222 )
        | ( X220 = X221 )
        | ( 1 != a(X222) )
        | ~ $less(X220,X222)
        | ( 5 != b(X222) )
        | ( 10 != a(X220) ) )
    & ! [X1: $int,X4: $int,X2: $int,X3: $int] :
        ( ( X3 = X4 )
        | ( X1 = X4 )
        | ( X1 = X2 )
        | ( 5 != a(X1) )
        | ~ $less(X3,X2)
        | ( X2 = X3 )
        | ( 2 != a(X4) )
        | ( 5 != b(X2) )
        | ~ $less(b(X3),3)
        | ( 7 != a(X2) )
        | ( X2 = X4 )
        | ( X1 = X3 )
        | ( 10 != a(X3) ) )
    & ! [X30: $int,X31: $int,X32: $int] :
        ( ( 2 != b(X31) )
        | ( X30 = X32 )
        | ( 12 != a(X32) )
        | ( X31 = X32 )
        | ( 5 != b(X32) )
        | ( 7 != a(X31) )
        | ~ $less(X30,X32)
        | ~ $less(b(X30),3)
        | ( 10 != a(X30) )
        | ( X30 = X31 ) )
    & ! [X108: $int,X106: $int,X107: $int] :
        ( ( X106 = X108 )
        | ( 5 != b(X107) )
        | ~ $less(X108,X107)
        | ( X106 = X107 )
        | ( 10 != a(X108) )
        | ( 6 != a(X106) )
        | ( X107 = X108 )
        | ( 6 != a(X107) )
        | ~ $less(b(X108),3) )
    & ! [X55: $int,X54: $int,X53: $int,X56: $int] :
        ( ( 2 != b(X56) )
        | ( X55 = X56 )
        | ( 2 != a(X55) )
        | ( 5 != b(X53) )
        | ( X54 = X56 )
        | ( X53 = X55 )
        | ( 7 != a(X56) )
        | ~ $less(X54,X55)
        | ~ $less(b(X54),3)
        | ( 10 != a(X54) )
        | ( X54 = X55 )
        | ( X53 = X54 )
        | ( X53 = X56 ) )
    & ! [X75: $int,X77: $int,X76: $int] :
        ( ~ $less(X76,X75)
        | ( X75 = X76 )
        | ( 2 != b(X76) )
        | ( X76 = X77 )
        | ( 10 != a(X76) )
        | ( X75 = X77 )
        | ( 5 != b(X75) )
        | ( 6 != a(X77) )
        | ( 2 != a(X75) ) )
    & ! [X173: $int,X174: $int,X171: $int,X172: $int] :
        ( ( 1 != a(X173) )
        | ( 10 != a(X171) )
        | ( X171 = X173 )
        | ~ $less(b(X171),3)
        | ( 4 != a(X174) )
        | ( X172 = X173 )
        | ( 5 != b(X172) )
        | ( X171 = X174 )
        | ( X172 = X174 )
        | ( X171 = X172 )
        | ( X173 = X174 )
        | ~ $less(X171,X174) )
    & ! [X198: $int,X199: $int,X197: $int,X200: $int] :
        ( ~ $less(b(X200),4)
        | ( X197 = X199 )
        | ( X197 = X200 )
        | ~ $less(X199,X197)
        | ( 8 != a(X200) )
        | ( X199 = X200 )
        | ~ $less(b(X199),3)
        | ( 10 != a(X199) )
        | ( X197 = X198 )
        | ( X198 = X200 )
        | ( 2 != b(X198) )
        | ( X198 = X199 )
        | ~ $less(b(X197),4)
        | ( 3 != a(X197) ) ) ),
    inference(flattening,[],[f18]) ).

tff(f18,plain,
    ( $less(z2,z1)
    & ( 5 = b(z3) )
    & ( 5 = a(z1) )
    & $less(b(z2),3)
    & ( 10 = a(z2) )
    & ( 5 = b(z4) )
    & ( 7 = a(z3) )
    & ( 1 = a(z4) )
    & ! [X204: $int,X202: $int,X201: $int,X203: $int] :
        ( ( 2 != b(X204) )
        | ~ $less(X203,X202)
        | ( 3 != a(X202) )
        | ( X201 = X203 )
        | ( 7 != a(X204) )
        | ( 10 != a(X203) )
        | ~ $less(b(X203),3)
        | ( X201 = X204 )
        | ~ $less(b(X202),4)
        | ( X201 = X202 )
        | ( 5 != b(X201) )
        | ( X203 = X204 )
        | ( X202 = X204 )
        | ( X202 = X203 ) )
    & ! [X228: $int,X226: $int,X229: $int,X227: $int] :
        ( ( 5 != a(X228) )
        | ( X227 = X228 )
        | ( 5 != b(X229) )
        | ( X228 = X229 )
        | ( X227 = X229 )
        | ( 2 != b(X227) )
        | ~ $less(X226,X229)
        | ( 6 != a(X229) )
        | ( 10 != a(X226) )
        | ( X226 = X229 )
        | ( X226 = X227 )
        | ( X226 = X228 )
        | ~ $less(b(X226),3) )
    & ! [X143: $int,X141: $int,X142: $int] :
        ( ( X141 = X143 )
        | ( X142 = X143 )
        | ( 10 != a(X141) )
        | ( 8 != a(X142) )
        | ( X141 = X142 )
        | ( 7 != a(X143) )
        | ~ $less(b(X141),3)
        | ~ $less(X141,X143) )
    & ! [X14: $int,X15: $int] :
        ( ~ $less(X15,X14)
        | ( 10 != a(X15) )
        | ( X14 = X15 )
        | ~ $less(b(X15),3)
        | ( 8 != a(X14) ) )
    & ! [X128: $int,X129: $int,X130: $int] :
        ( ( 10 != a(X130) )
        | ( X129 = X130 )
        | ( 5 != b(X129) )
        | ~ $less(b(X130),3)
        | ~ $less(X130,X128)
        | ( 7 != a(X128) )
        | ( X128 = X129 )
        | ( X128 = X130 ) )
    & ! [X115: $int,X113: $int,X114: $int] :
        ( ( 10 != a(X115) )
        | ~ $less(X115,X114)
        | ~ $less(b(X115),3)
        | ( 7 != a(X114) )
        | ( X114 = X115 )
        | ( 6 != a(X113) )
        | ( X113 = X115 )
        | ( 5 != b(X114) )
        | ( X113 = X114 ) )
    & ( z2 != z4 )
    & ( z1 != z3 )
    & ! [X117: $int,X119: $int,X116: $int,X118: $int] :
        ( ( 10 != a(X117) )
        | ( X117 = X119 )
        | ( X116 = X118 )
        | ( 7 != a(X118) )
        | ~ $less(X117,X116)
        | ( X118 = X119 )
        | ( X116 = X119 )
        | ( 2 != b(X117) )
        | ~ $less(b(X118),4)
        | ( X117 = X118 )
        | ( 2 != a(X116) )
        | ( 5 != b(X119) )
        | ( X116 = X117 ) )
    & ( z1 != z5 )
    & ! [X97: $int,X95: $int,X98: $int,X96: $int] :
        ( ( 5 != b(X96) )
        | ( X96 = X98 )
        | ( X95 = X96 )
        | ~ $less(X97,X95)
        | ( X97 = X98 )
        | ( 2 != a(X96) )
        | ( X95 = X97 )
        | ( X96 = X97 )
        | ( X95 = X98 )
        | ( 5 != a(X95) )
        | ( 7 != a(X98) )
        | ( 10 != a(X97) )
        | ~ $less(b(X97),3) )
    & ! [X100: $int,X102: $int,X101: $int,X99: $int] :
        ( ( X99 = X101 )
        | ( X100 = X101 )
        | ( X101 = X102 )
        | ~ $less(b(X100),3)
        | ( X99 = X102 )
        | ( X99 = X100 )
        | ( 2 != b(X102) )
        | ( 2 != b(X99) )
        | ( 10 != a(X100) )
        | ( 5 != a(X102) )
        | ( 5 != a(X101) )
        | ( X100 = X102 )
        | ~ $less(X100,X101)
        | ( 5 != b(X101) ) )
    & ! [X16: $int] :
        ( ~ $less(12,a(X16))
        & ~ $less(a(X16),1) )
    & ! [X41: $int,X42: $int,X40: $int] :
        ( ( 7 != a(X41) )
        | ( 6 != a(X40) )
        | ( X40 = X42 )
        | ( X40 = X41 )
        | ( 10 != a(X42) )
        | ~ $less(X42,X40)
        | ( X41 = X42 )
        | ~ $less(b(X42),3)
        | ( 5 != b(X40) ) )
    & ! [X26: $int,X25: $int,X24: $int] :
        ( ~ $less(X24,X26)
        | ( 2 != b(X24) )
        | ( X24 = X25 )
        | ( 12 != a(X26) )
        | ( X24 = X26 )
        | ( 10 != a(X24) )
        | ( 6 != a(X25) )
        | ( 5 != b(X26) )
        | ( X25 = X26 ) )
    & ! [X55: $int,X54: $int,X53: $int,X56: $int] :
        ( ( 2 != b(X56) )
        | ( X55 = X56 )
        | ( 2 != a(X55) )
        | ( 5 != b(X53) )
        | ( X54 = X56 )
        | ( X53 = X55 )
        | ( 7 != a(X56) )
        | ~ $less(X54,X55)
        | ~ $less(b(X54),3)
        | ( 10 != a(X54) )
        | ( X54 = X55 )
        | ( X53 = X54 )
        | ( X53 = X56 ) )
    & ! [X87: $int,X86: $int,X85: $int] :
        ( ( 10 != a(X85) )
        | ( 6 != a(X86) )
        | ( 5 != b(X87) )
        | ( 2 != b(X85) )
        | ( 4 != a(X87) )
        | ( X86 = X87 )
        | ( X85 = X87 )
        | ~ $less(X85,X87)
        | ( X85 = X86 ) )
    & ! [X74: $int,X73: $int,X72: $int] :
        ( ~ $less(b(X73),3)
        | ( 1 != a(X72) )
        | ~ $less(X73,X72)
        | ( 5 != b(X72) )
        | ( 7 != a(X74) )
        | ( 10 != a(X73) )
        | ( X73 = X74 )
        | ( X72 = X74 )
        | ( 2 != b(X74) )
        | ( X72 = X73 ) )
    & ! [X178: $int,X180: $int,X179: $int] :
        ( ( 2 != b(X178) )
        | ( 5 != b(X180) )
        | ( 10 != a(X178) )
        | ( X178 = X180 )
        | ( X179 = X180 )
        | ( 6 != a(X180) )
        | ~ $less(X178,X180)
        | ( X178 = X179 )
        | ( 4 != a(X179) ) )
    & ( z2 != z3 )
    & ! [X162: $int,X163: $int,X161: $int] :
        ( ~ $less(X163,X161)
        | ( 2 != b(X163) )
        | ~ $less(b(X162),4)
        | ( 8 != a(X162) )
        | ( 3 != a(X161) )
        | ( X161 = X162 )
        | ( X161 = X163 )
        | ( X162 = X163 )
        | ~ $less(b(X161),4)
        | ( 10 != a(X163) ) )
    & ! [X155: $int,X156: $int,X154: $int] :
        ( ( 2 != b(X156) )
        | ( X155 = X156 )
        | ( 5 != b(X155) )
        | ( 4 != a(X155) )
        | ~ $less(b(X154),3)
        | ( X154 = X156 )
        | ( 10 != a(X154) )
        | ( X154 = X155 )
        | ( 7 != a(X156) )
        | ~ $less(X154,X155) )
    & ! [X51: $int,X49: $int,X50: $int,X52: $int] :
        ( ( X49 = X50 )
        | ( 1 != a(X49) )
        | ~ $less(X51,X50)
        | ( 10 != a(X51) )
        | ( X49 = X51 )
        | ( 5 != b(X52) )
        | ( 5 != a(X50) )
        | ( X50 = X51 )
        | ( X49 = X52 )
        | ~ $less(b(X51),3)
        | ( X50 = X52 )
        | ( X51 = X52 ) )
    & ! [X127: $int,X126: $int,X124: $int,X125: $int] :
        ( ( 1 != a(X125) )
        | ( X125 = X126 )
        | ( X126 = X127 )
        | ( X124 = X125 )
        | ( 10 != a(X126) )
        | ~ $less(X126,X125)
        | ( 5 != b(X127) )
        | ( 2 != b(X124) )
        | ~ $less(b(X126),3)
        | ( X124 = X127 )
        | ( X125 = X127 )
        | ( X124 = X126 )
        | ( 7 != a(X124) ) )
    & ( z4 != z5 )
    & ! [X287: $int,X285: $int,X286: $int] :
        ( ( X285 = X287 )
        | ( X285 = X286 )
        | ~ $less(X287,X285)
        | ( X286 = X287 )
        | ( 12 != a(X285) )
        | ( 8 != a(X286) )
        | ( 2 != b(X287) )
        | ~ $less(b(X286),4)
        | ( 10 != a(X287) ) )
    & ! [X243: $int,X246: $int,X244: $int,X245: $int] :
        ( ~ $less(X244,X245)
        | ( X243 = X246 )
        | ( X244 = X246 )
        | ( 5 != b(X245) )
        | ( X243 = X244 )
        | ( 4 != a(X245) )
        | ( 2 != b(X243) )
        | ( X245 = X246 )
        | ( 10 != a(X244) )
        | ( X244 = X245 )
        | ~ $less(b(X244),3)
        | ( 7 != a(X246) )
        | ( X243 = X245 ) )
    & ( z1 != z4 )
    & ! [X46: $int,X47: $int,X48: $int] :
        ( ~ $less(X48,X47)
        | ( 2 != a(X47) )
        | ( X47 = X48 )
        | ( 2 != b(X48) )
        | ( 5 != b(X47) )
        | ( X46 = X47 )
        | ( X46 = X48 )
        | ( 10 != a(X48) )
        | ( 4 != a(X46) ) )
    & ! [X66: $int,X67: $int,X65: $int] :
        ( ( 10 != a(X65) )
        | ( 6 != a(X66) )
        | ( X65 = X67 )
        | ( X65 = X66 )
        | ( 5 != b(X67) )
        | ( X66 = X67 )
        | ~ $less(b(X65),3)
        | ~ $less(X65,X66) )
    & ! [X37: $int,X38: $int,X36: $int,X39: $int] :
        ( ( 10 != a(X39) )
        | ( X36 = X38 )
        | ~ $less(X39,X37)
        | ~ $less(b(X39),3)
        | ( 5 != a(X37) )
        | ( X36 = X39 )
        | ( X38 = X39 )
        | ( 5 != b(X38) )
        | ( X36 = X37 )
        | ( X37 = X39 )
        | ( 2 != a(X36) )
        | ( X37 = X38 ) )
    & ! [X276: $int,X278: $int,X277: $int,X275: $int] :
        ( ( X276 = X278 )
        | ( X276 = X277 )
        | ( 4 != a(X278) )
        | ~ $less(b(X277),3)
        | ( X275 = X277 )
        | ( X275 = X276 )
        | ( 10 != a(X277) )
        | ~ $less(X277,X278)
        | ( 2 != b(X276) )
        | ( X275 = X278 )
        | ( 8 != a(X275) )
        | ( X277 = X278 ) )
    & ! [X134: $int,X135: $int,X136: $int,X137: $int] :
        ( ( 5 != b(X136) )
        | ~ $less(X134,X136)
        | ( X136 = X137 )
        | ~ $less(b(X134),3)
        | ( 7 != a(X136) )
        | ( X135 = X136 )
        | ( X134 = X135 )
        | ( X135 = X137 )
        | ( 2 != b(X137) )
        | ( X134 = X136 )
        | ( 10 != a(X134) )
        | ( X134 = X137 )
        | ( 4 != a(X135) ) )
    & ! [X23: $int,X21: $int,X22: $int] :
        ( ( 10 != a(X23) )
        | ( 2 != b(X22) )
        | ( X21 = X23 )
        | ( 8 != a(X22) )
        | ( X22 = X23 )
        | ( X21 = X22 )
        | ~ $less(b(X23),3)
        | ~ $less(X23,X21)
        | ( 5 != a(X21) ) )
    & ! [X235: $int,X234: $int,X233: $int] :
        ( ( 2 != b(X235) )
        | ( X233 = X234 )
        | ( X234 = X235 )
        | ~ $less(X235,X234)
        | ( 4 != a(X234) )
        | ( 5 != b(X234) )
        | ( X233 = X235 )
        | ( 7 != a(X233) )
        | ( 10 != a(X235) ) )
    & ! [X241: $int,X242: $int,X240: $int] :
        ( ( X240 = X241 )
        | ( 5 != a(X240) )
        | ( X240 = X242 )
        | ( 5 != b(X242) )
        | ( 10 != a(X241) )
        | ( X241 = X242 )
        | ( 2 != b(X241) )
        | ~ $less(X241,X240) )
    & ! [X157: $int,X159: $int,X160: $int,X158: $int] :
        ( ( X157 = X158 )
        | ( X158 = X159 )
        | ( 10 != a(X160) )
        | ( 5 != b(X158) )
        | ( X157 = X160 )
        | ~ $less(X160,X158)
        | ( X159 = X160 )
        | ~ $less(b(X160),3)
        | ( X157 = X159 )
        | ( 5 != a(X158) )
        | ( 2 != b(X157) )
        | ( 6 != a(X159) )
        | ( X158 = X160 ) )
    & ! [X92: $int,X94: $int,X93: $int] :
        ( ( 10 != a(X94) )
        | ~ $less(b(X93),4)
        | ( X92 = X94 )
        | ( X93 = X94 )
        | ( X92 = X93 )
        | ( 2 != b(X94) )
        | ( 5 != b(X92) )
        | ( 7 != a(X93) )
        | ~ $less(X94,X92)
        | ( 12 != a(X92) ) )
    & ! [X123: $int,X122: $int,X121: $int,X120: $int] :
        ( ( X120 = X122 )
        | ~ $less(X123,X120)
        | ( X120 = X123 )
        | ( 1 != a(X122) )
        | ( X121 = X123 )
        | ~ $less(b(X123),3)
        | ( X122 = X123 )
        | ( X121 = X122 )
        | ( X120 = X121 )
        | ( 5 != a(X120) )
        | ( 10 != a(X123) )
        | ( 8 != a(X121) ) )
    & ! [X231: $int,X232: $int,X230: $int] :
        ( ( 5 != a(X230) )
        | ( X231 = X232 )
        | ~ $less(X232,X231)
        | ( X230 = X232 )
        | ( 2 != b(X232) )
        | ( 10 != a(X232) )
        | ( 5 != b(X231) )
        | ( X230 = X231 )
        | ( 2 != a(X231) ) )
    & ! [X193: $int,X191: $int,X192: $int] :
        ( ( 4 != a(X193) )
        | ( X191 = X193 )
        | ( X191 = X192 )
        | ( X192 = X193 )
        | ( 2 != b(X191) )
        | ~ $less(b(X192),3)
        | ( 10 != a(X192) )
        | ( 8 != a(X191) )
        | ~ $less(X192,X193) )
    & ! [X186: $int,X185: $int,X184: $int] :
        ( ( X184 = X185 )
        | ( 10 != a(X185) )
        | ( X185 = X186 )
        | ( 2 != b(X184) )
        | ( 8 != a(X184) )
        | ~ $less(b(X185),3)
        | ( 1 != a(X186) )
        | ( X184 = X186 )
        | ~ $less(X185,X186) )
    & ! [X258: $int,X257: $int,X256: $int] :
        ( ( 5 != b(X258) )
        | ( X256 = X258 )
        | ( 10 != a(X257) )
        | ( X256 = X257 )
        | ( 5 != a(X258) )
        | ( 7 != a(X256) )
        | ( X257 = X258 )
        | ~ $less(X257,X258)
        | ( 2 != b(X257) ) )
    & ! [X254: $int,X255: $int] :
        ( ( X254 = X255 )
        | ( 10 != a(X254) )
        | ( 10 != a(X255) ) )
    & ! [X282: $int,X283: $int,X284: $int] :
        ( ~ $less(X282,X283)
        | ( 10 != a(X282) )
        | ( 5 != a(X283) )
        | ( X282 = X284 )
        | ( X283 = X284 )
        | ( X282 = X283 )
        | ( 2 != b(X284) )
        | ~ $less(b(X282),3)
        | ( 5 != b(X283) )
        | ( 7 != a(X284) ) )
    & ! [X223: $int,X225: $int,X224: $int] :
        ( ( X223 = X225 )
        | ( X224 = X225 )
        | ~ $less(X223,X225)
        | ( 2 != b(X223) )
        | ( 5 != a(X224) )
        | ( X223 = X224 )
        | ( 10 != a(X223) )
        | ( 5 != b(X225) )
        | ( 4 != a(X225) ) )
    & ! [X265: $int,X267: $int,X266: $int] :
        ( ~ $less(X266,X265)
        | ( 2 != b(X266) )
        | ( X265 = X266 )
        | ( 5 != b(X265) )
        | ( X266 = X267 )
        | ( 4 != a(X267) )
        | ( 10 != a(X266) )
        | ( X265 = X267 )
        | ( 1 != a(X265) ) )
    & ! [X269: $int,X270: $int,X268: $int] :
        ( ( 2 != b(X270) )
        | ( X269 = X270 )
        | ( 10 != a(X270) )
        | ~ $less(X270,X269)
        | ( X268 = X270 )
        | ( X268 = X269 )
        | ( 12 != a(X269) )
        | ( 4 != a(X268) )
        | ( 5 != b(X269) ) )
    & ! [X248: $int,X250: $int,X247: $int,X249: $int] :
        ( ~ $less(X248,X249)
        | ( 5 != a(X247) )
        | ~ $less(b(X248),3)
        | ( X247 = X249 )
        | ( 7 != a(X249) )
        | ( 5 != b(X249) )
        | ( X247 = X250 )
        | ( 2 != b(X250) )
        | ( X248 = X250 )
        | ( 10 != a(X248) )
        | ( X249 = X250 )
        | ( X247 = X248 )
        | ( X248 = X249 ) )
    & ! [X112: $int,X109: $int,X110: $int,X111: $int] :
        ( ( 2 != b(X111) )
        | ( X109 = X112 )
        | ( 10 != a(X109) )
        | ~ $less(X109,X112)
        | ( 12 != a(X112) )
        | ( 7 != a(X111) )
        | ~ $less(b(X109),3)
        | ( X109 = X111 )
        | ( 5 != b(X110) )
        | ( X111 = X112 )
        | ( X110 = X111 )
        | ( X109 = X110 )
        | ( X110 = X112 ) )
    & ! [X68: $int,X71: $int,X69: $int,X70: $int] :
        ( ( X69 = X71 )
        | ~ $less(X71,X69)
        | ( X70 = X71 )
        | ( 4 != a(X69) )
        | ~ $less(b(X71),3)
        | ( X68 = X70 )
        | ( 5 != b(X68) )
        | ( 2 != a(X70) )
        | ( 10 != a(X71) )
        | ( X69 = X70 )
        | ( X68 = X69 )
        | ( X68 = X71 ) )
    & ! [X145: $int,X144: $int,X146: $int] :
        ( ( 10 != a(X146) )
        | ( X144 = X146 )
        | ( X145 = X146 )
        | ( 5 != b(X144) )
        | ( X144 = X145 )
        | ( 12 != a(X144) )
        | ~ $less(X146,X144)
        | ( 2 != b(X146) )
        | ( 5 != a(X145) ) )
    & ! [X187: $int,X190: $int,X188: $int,X189: $int] :
        ( ( 10 != a(X187) )
        | ( X187 = X189 )
        | ( X188 = X190 )
        | ( X188 = X189 )
        | ( 4 != a(X190) )
        | ~ $less(b(X187),3)
        | ( X189 = X190 )
        | ( X187 = X188 )
        | ( 7 != a(X188) )
        | ~ $less(X187,X190)
        | ( 2 != b(X188) )
        | ( 5 != b(X189) )
        | ( X187 = X190 ) )
    & ! [X78: $int,X80: $int,X79: $int,X81: $int] :
        ( ( 5 != b(X79) )
        | ( X78 = X81 )
        | ( X79 = X80 )
        | ~ $less(X81,X78)
        | ( 10 != a(X81) )
        | ( X80 = X81 )
        | ( 5 != a(X78) )
        | ( 2 != b(X80) )
        | ~ $less(b(X81),3)
        | ( X78 = X80 )
        | ( X78 = X79 )
        | ( X79 = X81 ) )
    & ! [X222: $int,X220: $int,X221: $int] :
        ( ( 2 != b(X220) )
        | ( X220 = X222 )
        | ~ $less(b(X221),4)
        | ( 7 != a(X221) )
        | ( X221 = X222 )
        | ( X220 = X221 )
        | ( 1 != a(X222) )
        | ~ $less(X220,X222)
        | ( 5 != b(X222) )
        | ( 10 != a(X220) ) )
    & ( z3 != z4 )
    & ! [X30: $int,X31: $int,X32: $int] :
        ( ( 2 != b(X31) )
        | ( X30 = X32 )
        | ( 12 != a(X32) )
        | ( X31 = X32 )
        | ( 5 != b(X32) )
        | ( 7 != a(X31) )
        | ~ $less(X30,X32)
        | ~ $less(b(X30),3)
        | ( 10 != a(X30) )
        | ( X30 = X31 ) )
    & ! [X17: $int,X20: $int,X18: $int,X19: $int] :
        ( ( 5 != b(X17) )
        | ( X18 = X20 )
        | ( 10 != a(X20) )
        | ~ $less(X20,X18)
        | ( X17 = X18 )
        | ( 2 != b(X19) )
        | ( X19 = X20 )
        | ( 4 != a(X18) )
        | ( X17 = X20 )
        | ~ $less(b(X20),3)
        | ( X17 = X19 )
        | ( X18 = X19 ) )
    & ! [X59: $int,X58: $int,X57: $int] :
        ( ( X57 = X58 )
        | ( 1 != a(X58) )
        | ( X57 = X59 )
        | ( X58 = X59 )
        | ( 6 != a(X57) )
        | ( 5 != b(X58) )
        | ( 2 != b(X59) )
        | ( 10 != a(X59) )
        | ~ $less(X59,X58) )
    & ! [X27: $int,X29: $int,X28: $int] :
        ( ( X27 = X29 )
        | ~ $less(b(X29),3)
        | ( 2 != b(X27) )
        | ( 2 != a(X28) )
        | ( X28 = X29 )
        | ( 5 != b(X28) )
        | ( X27 = X28 )
        | ( 7 != a(X27) )
        | ( 10 != a(X29) )
        | ~ $less(X29,X28) )
    & ! [X60: $int,X61: $int] :
        ( ~ $less(b(X61),3)
        | ( X60 = X61 )
        | ( 9 != a(X60) )
        | ( 10 != a(X61) )
        | ~ $less(X61,X60) )
    & ! [X168: $int,X170: $int,X169: $int] :
        ( ( 5 != b(X170) )
        | ~ $less(b(X168),3)
        | ( X168 = X169 )
        | ( 7 != a(X169) )
        | ( 7 != a(X170) )
        | ( X169 = X170 )
        | ~ $less(X168,X170)
        | ( X168 = X170 )
        | ( 10 != a(X168) ) )
    & ! [X261: $int,X260: $int,X259: $int] :
        ( ( 10 != a(X261) )
        | ( 1 != a(X259) )
        | ( X259 = X260 )
        | ( 5 != a(X260) )
        | ( 2 != b(X261) )
        | ( X259 = X261 )
        | ~ $less(X261,X259)
        | ( 5 != b(X259) )
        | ( X260 = X261 ) )
    & ! [X62: $int,X63: $int,X64: $int] :
        ( ( 5 != a(X64) )
        | ( X62 = X64 )
        | ( 8 != a(X63) )
        | ( 10 != a(X62) )
        | ~ $less(X62,X64)
        | ( X63 = X64 )
        | ( X62 = X63 )
        | ( 2 != b(X62) ) )
    & ! [X236: $int,X238: $int,X239: $int,X237: $int] :
        ( ~ $less(X239,X236)
        | ~ $less(b(X239),3)
        | ( 8 != a(X238) )
        | ( X236 = X237 )
        | ( 5 != a(X236) )
        | ( X237 = X239 )
        | ( X236 = X238 )
        | ( 2 != a(X237) )
        | ( 10 != a(X239) )
        | ( X238 = X239 )
        | ( X237 = X238 )
        | ( X236 = X239 ) )
    & ! [X131: $int,X132: $int,X133: $int] :
        ( ~ $less(X131,X132)
        | ( 7 != a(X132) )
        | ( 5 != a(X133) )
        | ( 5 != b(X132) )
        | ( X132 = X133 )
        | ( X131 = X133 )
        | ( 2 != b(X131) )
        | ( X131 = X132 )
        | ( 10 != a(X131) ) )
    & ( z3 != z5 )
    & ! [X279: $int,X281: $int,X280: $int] :
        ( ( X279 = X281 )
        | ( 10 != a(X280) )
        | ~ $less(X280,X279)
        | ( 4 != a(X279) )
        | ( 2 != b(X280) )
        | ( X279 = X280 )
        | ( 8 != a(X281) )
        | ( X280 = X281 ) )
    & ! [X5: $int,X6: $int,X7: $int] :
        ( ( X6 = X7 )
        | ( 5 != b(X5) )
        | ( 4 != a(X6) )
        | ( 10 != a(X7) )
        | ( 5 != a(X5) )
        | ~ $less(X7,X5)
        | ( 2 != b(X7) )
        | ( X5 = X7 )
        | ( X5 = X6 ) )
    & ! [X75: $int,X77: $int,X76: $int] :
        ( ~ $less(X76,X75)
        | ( X75 = X76 )
        | ( 2 != b(X76) )
        | ( X76 = X77 )
        | ( 10 != a(X76) )
        | ( X75 = X77 )
        | ( 5 != b(X75) )
        | ( 6 != a(X77) )
        | ( 2 != a(X75) ) )
    & ! [X196: $int,X194: $int,X195: $int] :
        ( ( 2 != b(X195) )
        | ~ $less(X194,X196)
        | ( X194 = X195 )
        | ( 8 != a(X195) )
        | ( 10 != a(X194) )
        | ~ $less(b(X194),3)
        | ( 2 != a(X196) )
        | ( X194 = X196 )
        | ( X195 = X196 ) )
    & ! [X45: $int,X43: $int,X44: $int] :
        ( ( X44 = X45 )
        | ( 6 != a(X44) )
        | ( 10 != a(X45) )
        | ( 5 != b(X43) )
        | ~ $less(b(X45),3)
        | ( 2 != b(X44) )
        | ( X43 = X45 )
        | ~ $less(X45,X43)
        | ( 5 != a(X43) )
        | ( X43 = X44 ) )
    & ! [X153: $int,X152: $int,X150: $int,X151: $int] :
        ( ( X151 = X152 )
        | ( 3 != a(X150) )
        | ~ $less(b(X151),4)
        | ( 5 != b(X153) )
        | ( X152 = X153 )
        | ( X150 = X151 )
        | ( 7 != a(X151) )
        | ~ $less(b(X150),4)
        | ~ $less(X152,X150)
        | ( X150 = X152 )
        | ( 10 != a(X152) )
        | ( 2 != b(X152) )
        | ( X151 = X153 )
        | ( X150 = X153 ) )
    & ! [X83: $int,X84: $int,X82: $int] :
        ( ( 10 != a(X82) )
        | ( X83 = X84 )
        | ( X82 = X84 )
        | ( 2 != b(X82) )
        | ( 6 != a(X83) )
        | ( 5 != a(X84) )
        | ~ $less(X82,X84)
        | ( 5 != b(X84) )
        | ( X82 = X83 ) )
    & ! [X218: $int,X217: $int,X216: $int,X219: $int] :
        ( ( 2 != a(X219) )
        | ~ $less(b(X216),3)
        | ( 10 != a(X216) )
        | ( 4 != a(X217) )
        | ~ $less(X216,X217)
        | ( X216 = X217 )
        | ( X217 = X218 )
        | ( X218 = X219 )
        | ( 8 != a(X218) )
        | ( X217 = X219 )
        | ( X216 = X218 )
        | ( X216 = X219 ) )
    & ! [X10: $int,X9: $int,X8: $int] :
        ( ~ $less(b(X10),3)
        | ( X8 = X10 )
        | ( 10 != a(X10) )
        | ( X9 = X10 )
        | ( X8 = X9 )
        | ( 6 != a(X9) )
        | ~ $less(X10,X9)
        | ( 8 != a(X8) ) )
    & ! [X213: $int,X212: $int,X215: $int,X214: $int] :
        ( ( 2 != b(X213) )
        | ( X214 = X215 )
        | ( 10 != a(X212) )
        | ( X213 = X214 )
        | ( X212 = X213 )
        | ( 8 != a(X214) )
        | ( X212 = X215 )
        | ~ $less(b(X212),3)
        | ( X212 = X214 )
        | ( 5 != a(X215) )
        | ( X213 = X215 )
        | ~ $less(X212,X215) )
    & ( z1 != z2 )
    & ! [X181: $int,X183: $int,X182: $int] :
        ( ( X182 = X183 )
        | ( X181 = X182 )
        | ( 2 != b(X182) )
        | ( X181 = X183 )
        | ( 10 != a(X182) )
        | ( 5 != b(X181) )
        | ~ $less(X182,X183)
        | ( 4 != a(X183) ) )
    & ! [X1: $int,X4: $int,X2: $int,X3: $int] :
        ( ( X3 = X4 )
        | ( X1 = X4 )
        | ( X1 = X2 )
        | ( 5 != a(X1) )
        | ~ $less(X3,X2)
        | ( X2 = X3 )
        | ( 2 != a(X4) )
        | ( 5 != b(X2) )
        | ~ $less(b(X3),3)
        | ( 7 != a(X2) )
        | ( X2 = X4 )
        | ( X1 = X3 )
        | ( 10 != a(X3) ) )
    & ! [X253: $int,X251: $int,X252: $int] :
        ( ( 10 != a(X251) )
        | ( 2 != a(X252) )
        | ( X252 = X253 )
        | ~ $less(X251,X252)
        | ~ $less(b(X253),4)
        | ( 5 != b(X252) )
        | ( 2 != b(X251) )
        | ( X251 = X253 )
        | ( 7 != a(X253) )
        | ( X251 = X252 ) )
    & ! [X173: $int,X174: $int,X171: $int,X172: $int] :
        ( ( 1 != a(X173) )
        | ( 10 != a(X171) )
        | ( X171 = X173 )
        | ~ $less(b(X171),3)
        | ( 4 != a(X174) )
        | ( X172 = X173 )
        | ( 5 != b(X172) )
        | ( X171 = X174 )
        | ( X172 = X174 )
        | ( X171 = X172 )
        | ( X173 = X174 )
        | ~ $less(X171,X174) )
    & ! [X164: $int,X166: $int,X165: $int,X167: $int] :
        ( ( 5 != b(X167) )
        | ~ $less(b(X165),3)
        | ~ $less(X165,X167)
        | ( 5 != a(X167) )
        | ( X166 = X167 )
        | ( 7 != a(X166) )
        | ( X164 = X167 )
        | ( 10 != a(X165) )
        | ( X164 = X166 )
        | ( X164 = X165 )
        | ( X165 = X166 )
        | ( X165 = X167 )
        | ( 2 != a(X164) ) )
    & ! [X272: $int,X273: $int,X274: $int,X271: $int] :
        ( ( X271 = X273 )
        | ~ $less(b(X272),4)
        | ( 12 != a(X271) )
        | ( 7 != a(X272) )
        | ( 5 != b(X273) )
        | ( 2 != b(X274) )
        | ( X272 = X274 )
        | ( X272 = X273 )
        | ~ $less(X274,X271)
        | ( X273 = X274 )
        | ( X271 = X274 )
        | ( 10 != a(X274) )
        | ( X271 = X272 ) )
    & ! [X140: $int,X139: $int,X138: $int] :
        ( ( 10 != a(X138) )
        | ( 5 != a(X139) )
        | ( 5 != b(X140) )
        | ( X138 = X140 )
        | ~ $less(X138,X140)
        | ( X138 = X139 )
        | ( 2 != b(X138) )
        | ( X139 = X140 )
        | ( 6 != a(X140) ) )
    & ! [X0: $int] :
        ( ~ $less(5,b(X0))
        & ~ $less(b(X0),1) )
    & ! [X148: $int,X147: $int,X149: $int] :
        ( ( X148 = X149 )
        | ( 8 != a(X147) )
        | ( 2 != b(X148) )
        | ~ $less(b(X147),4)
        | ( X147 = X148 )
        | ( X147 = X149 )
        | ( 10 != a(X148) )
        | ( 2 != a(X149) )
        | ~ $less(X148,X149) )
    & ! [X262: $int,X263: $int,X264: $int] :
        ( ( X262 = X264 )
        | ( 10 != a(X262) )
        | ( 4 != a(X264) )
        | ( 2 != b(X262) )
        | ( X262 = X263 )
        | ( 4 != a(X263) )
        | ( X263 = X264 )
        | ~ $less(X262,X264)
        | ( 5 != b(X264) ) )
    & ! [X211: $int,X209: $int,X208: $int,X210: $int] :
        ( ~ $less(X210,X208)
        | ( 10 != a(X210) )
        | ( X208 = X209 )
        | ( X208 = X210 )
        | ( 1 != a(X208) )
        | ( 2 != b(X210) )
        | ~ $less(b(X211),4)
        | ( X209 = X210 )
        | ( 5 != b(X209) )
        | ( X208 = X211 )
        | ( X210 = X211 )
        | ( X209 = X211 )
        | ( 7 != a(X211) ) )
    & ! [X198: $int,X199: $int,X197: $int,X200: $int] :
        ( ~ $less(b(X200),4)
        | ( X197 = X199 )
        | ( X197 = X200 )
        | ~ $less(X199,X197)
        | ( 8 != a(X200) )
        | ( X199 = X200 )
        | ~ $less(b(X199),3)
        | ( 10 != a(X199) )
        | ( X197 = X198 )
        | ( X198 = X200 )
        | ( 2 != b(X198) )
        | ( X198 = X199 )
        | ~ $less(b(X197),4)
        | ( 3 != a(X197) ) )
    & ! [X207: $int,X205: $int,X206: $int] :
        ( ( X205 = X207 )
        | ~ $less(b(X207),3)
        | ( 8 != a(X205) )
        | ( 10 != a(X207) )
        | ( 12 != a(X206) )
        | ( X206 = X207 )
        | ( 2 != b(X205) )
        | ~ $less(X207,X206)
        | ( X205 = X206 ) )
    & ! [X90: $int,X91: $int,X89: $int,X88: $int] :
        ( ( X88 = X89 )
        | ( X90 = X91 )
        | ( X88 = X91 )
        | ( 5 != a(X88) )
        | ~ $less(b(X91),3)
        | ( 7 != a(X90) )
        | ( X89 = X90 )
        | ~ $less(X91,X88)
        | ( 5 != b(X88) )
        | ( X89 = X91 )
        | ( X88 = X90 )
        | ( 10 != a(X91) )
        | ( 2 != b(X89) ) )
    & ! [X105: $int,X103: $int,X104: $int] :
        ( ( X104 = X105 )
        | ( 8 != a(X103) )
        | ( 10 != a(X104) )
        | ( X103 = X105 )
        | ( 1 != a(X105) )
        | ( 2 != b(X104) )
        | ( X103 = X104 )
        | ~ $less(X104,X105)
        | ~ $less(b(X103),4) )
    & ! [X108: $int,X106: $int,X107: $int] :
        ( ( X106 = X108 )
        | ( 5 != b(X107) )
        | ~ $less(X108,X107)
        | ( X106 = X107 )
        | ( 10 != a(X108) )
        | ( 6 != a(X106) )
        | ( X107 = X108 )
        | ( 6 != a(X107) )
        | ~ $less(b(X108),3) )
    & ( z2 != z5 )
    & ! [X34: $int,X35: $int,X33: $int] :
        ( ( 2 != b(X35) )
        | ( 7 != a(X34) )
        | ( 5 != b(X34) )
        | ( X34 = X35 )
        | ~ $less(X35,X34)
        | ( X33 = X34 )
        | ( X33 = X35 )
        | ( 10 != a(X35) )
        | ( 4 != a(X33) ) )
    & ! [X11: $int,X12: $int,X13: $int] :
        ( ( X12 = X13 )
        | ( 10 != a(X13) )
        | ( X11 = X12 )
        | ( 5 != a(X12) )
        | ( X11 = X13 )
        | ( 5 != b(X11) )
        | ( 5 != a(X11) )
        | ~ $less(X13,X11)
        | ( 2 != b(X13) ) )
    & ! [X175: $int,X177: $int,X176: $int] :
        ( ~ $less(X177,X176)
        | ( X176 = X177 )
        | ( 8 != a(X175) )
        | ~ $less(b(X176),4)
        | ( X175 = X176 )
        | ~ $less(b(X177),3)
        | ( 10 != a(X177) )
        | ( 2 != b(X175) )
        | ( 3 != a(X176) )
        | ( X175 = X177 ) ) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f17,plain,
    ~ ( ( ! [X203: $int,X201: $int,X204: $int,X202: $int] :
            ~ ( $less(b(X202),4)
              & ( 2 = b(X204) )
              & ( X202 != X203 )
              & ( 7 = a(X204) )
              & ( X201 != X202 )
              & $less(X203,X202)
              & ( X203 != X204 )
              & ( X202 != X204 )
              & $less(b(X203),3)
              & ( 3 = a(X202) )
              & ( X201 != X204 )
              & ( X201 != X203 )
              & ( 5 = b(X201) )
              & ( 10 = a(X203) ) )
        & ! [X227: $int,X228: $int,X226: $int,X229: $int] :
            ~ ( $less(b(X226),3)
              & ( 6 = a(X229) )
              & ( 10 = a(X226) )
              & $less(X226,X229)
              & ( 2 = b(X227) )
              & ( X226 != X227 )
              & ( 5 = a(X228) )
              & ( X227 != X228 )
              & ( X226 != X228 )
              & ( X226 != X229 )
              & ( 5 = b(X229) )
              & ( X227 != X229 )
              & ( X228 != X229 ) )
        & ! [X143: $int,X141: $int,X142: $int] :
            ~ ( ( X142 != X143 )
              & $less(b(X141),3)
              & $less(X141,X143)
              & ( X141 != X142 )
              & ( X141 != X143 )
              & ( 8 = a(X142) )
              & ( 7 = a(X143) )
              & ( 10 = a(X141) ) )
        & ! [X14: $int,X15: $int] :
            ~ ( ( X14 != X15 )
              & $less(X15,X14)
              & ( 8 = a(X14) )
              & ( 10 = a(X15) )
              & $less(b(X15),3) )
        & ! [X128: $int,X129: $int,X130: $int] :
            ~ ( ( X128 != X130 )
              & ( 10 = a(X130) )
              & $less(X130,X128)
              & $less(b(X130),3)
              & ( X129 != X130 )
              & ( X128 != X129 )
              & ( 7 = a(X128) )
              & ( 5 = b(X129) ) )
        & ! [X115: $int,X114: $int,X113: $int] :
            ~ ( ( 10 = a(X115) )
              & ( 5 = b(X114) )
              & ( X113 != X115 )
              & $less(X115,X114)
              & ( 7 = a(X114) )
              & ( 6 = a(X113) )
              & $less(b(X115),3)
              & ( X114 != X115 )
              & ( X113 != X114 ) )
        & ( z2 != z4 )
        & ( z1 != z3 )
        & ! [X117: $int,X118: $int,X116: $int,X119: $int] :
            ~ ( ( 10 = a(X117) )
              & ( X118 != X119 )
              & $less(b(X118),4)
              & ( X117 != X119 )
              & $less(X117,X116)
              & ( 7 = a(X118) )
              & ( 5 = b(X119) )
              & ( 2 = b(X117) )
              & ( X116 != X117 )
              & ( X116 != X119 )
              & ( X117 != X118 )
              & ( 2 = a(X116) )
              & ( X116 != X118 ) )
        & ( z1 != z5 )
        & ! [X95: $int,X97: $int,X98: $int,X96: $int] :
            ~ ( $less(X97,X95)
              & ( 10 = a(X97) )
              & ( X95 != X98 )
              & ( X95 != X96 )
              & ( 2 = a(X96) )
              & ( X95 != X97 )
              & ( 5 = b(X96) )
              & ( X96 != X98 )
              & ( X96 != X97 )
              & ( 5 = a(X95) )
              & $less(b(X97),3)
              & ( 7 = a(X98) )
              & ( X97 != X98 ) )
        & ! [X100: $int,X99: $int,X101: $int,X102: $int] :
            ~ ( ( 2 = b(X102) )
              & ( 5 = b(X101) )
              & ( 2 = b(X99) )
              & ( 10 = a(X100) )
              & ( X99 != X101 )
              & ( 5 = a(X102) )
              & ( X100 != X101 )
              & ( X101 != X102 )
              & ( X99 != X100 )
              & $less(X100,X101)
              & ( X100 != X102 )
              & ( X99 != X102 )
              & $less(b(X100),3)
              & ( 5 = a(X101) ) )
        & ! [X16: $int] :
            ( ~ $less(12,a(X16))
            & ~ $less(a(X16),1) )
        & ! [X42: $int,X41: $int,X40: $int] :
            ~ ( ( 7 = a(X41) )
              & ( X41 != X42 )
              & ( X40 != X41 )
              & ( 5 = b(X40) )
              & ( 6 = a(X40) )
              & ( X40 != X42 )
              & $less(X42,X40)
              & ( 10 = a(X42) )
              & $less(b(X42),3) )
        & ! [X24: $int,X26: $int,X25: $int] :
            ~ ( ( 5 = b(X26) )
              & ( X24 != X25 )
              & ( 2 = b(X24) )
              & ( 6 = a(X25) )
              & ( X24 != X26 )
              & $less(X24,X26)
              & ( 10 = a(X24) )
              & ( X25 != X26 )
              & ( 12 = a(X26) ) )
        & ! [X55: $int,X56: $int,X53: $int,X54: $int] :
            ~ ( ( 2 = a(X55) )
              & ( 10 = a(X54) )
              & ( X53 != X54 )
              & ( X53 != X56 )
              & ( X55 != X56 )
              & ( 5 = b(X53) )
              & $less(b(X54),3)
              & ( 2 = b(X56) )
              & ( X53 != X55 )
              & ( X54 != X56 )
              & ( X54 != X55 )
              & ( 7 = a(X56) )
              & $less(X54,X55) )
        & ! [X85: $int,X86: $int,X87: $int] :
            ~ ( ( 10 = a(X85) )
              & ( X85 != X86 )
              & ( 4 = a(X87) )
              & ( X86 != X87 )
              & ( 5 = b(X87) )
              & ( 6 = a(X86) )
              & ( 2 = b(X85) )
              & $less(X85,X87)
              & ( X85 != X87 ) )
        & ! [X72: $int,X74: $int,X73: $int] :
            ~ ( ( X72 != X74 )
              & ( 1 = a(X72) )
              & ( 5 = b(X72) )
              & ( 7 = a(X74) )
              & $less(X73,X72)
              & ( X73 != X74 )
              & ( 10 = a(X73) )
              & $less(b(X73),3)
              & ( 2 = b(X74) )
              & ( X72 != X73 ) )
        & ! [X178: $int,X179: $int,X180: $int] :
            ~ ( ( X179 != X180 )
              & $less(X178,X180)
              & ( 2 = b(X178) )
              & ( 10 = a(X178) )
              & ( 5 = b(X180) )
              & ( 6 = a(X180) )
              & ( 4 = a(X179) )
              & ( X178 != X180 )
              & ( X178 != X179 ) )
        & ( z2 != z3 )
        & ! [X163: $int,X161: $int,X162: $int] :
            ~ ( $less(b(X161),4)
              & ( 8 = a(X162) )
              & $less(b(X162),4)
              & ( X161 != X163 )
              & ( X161 != X162 )
              & ( 3 = a(X161) )
              & ( 2 = b(X163) )
              & $less(X163,X161)
              & ( X162 != X163 )
              & ( 10 = a(X163) ) )
        & ! [X155: $int,X154: $int,X156: $int] :
            ~ ( ( X154 != X156 )
              & $less(X154,X155)
              & ( 5 = b(X155) )
              & ( 7 = a(X156) )
              & ( 4 = a(X155) )
              & ( X154 != X155 )
              & ( X155 != X156 )
              & ( 10 = a(X154) )
              & $less(b(X154),3)
              & ( 2 = b(X156) ) )
        & ! [X51: $int,X49: $int,X52: $int,X50: $int] :
            ~ ( ( 5 = a(X50) )
              & ( X50 != X52 )
              & ( X51 != X52 )
              & $less(b(X51),3)
              & ( 5 = b(X52) )
              & ( X50 != X51 )
              & ( X49 != X50 )
              & ( X49 != X51 )
              & ( 10 = a(X51) )
              & ( X49 != X52 )
              & ( 1 = a(X49) )
              & $less(X51,X50) )
        & ! [X127: $int,X125: $int,X124: $int,X126: $int] :
            ~ ( ( X126 != X127 )
              & ( 2 = b(X124) )
              & ( X124 != X125 )
              & $less(X126,X125)
              & ( X124 != X127 )
              & ( X124 != X126 )
              & ( 1 = a(X125) )
              & ( 5 = b(X127) )
              & ( 7 = a(X124) )
              & $less(b(X126),3)
              & ( X125 != X127 )
              & ( 10 = a(X126) )
              & ( X125 != X126 ) )
        & ( z4 != z5 )
        & ! [X285: $int,X286: $int,X287: $int] :
            ~ ( ( X286 != X287 )
              & $less(b(X286),4)
              & $less(X287,X285)
              & ( X285 != X286 )
              & ( 10 = a(X287) )
              & ( 2 = b(X287) )
              & ( 12 = a(X285) )
              & ( X285 != X287 )
              & ( 8 = a(X286) ) )
        & ! [X245: $int,X246: $int,X243: $int,X244: $int] :
            ~ ( ( X245 != X246 )
              & ( X243 != X244 )
              & $less(b(X244),3)
              & ( 5 = b(X245) )
              & ( X243 != X245 )
              & ( X244 != X245 )
              & $less(X244,X245)
              & ( X243 != X246 )
              & ( 7 = a(X246) )
              & ( 4 = a(X245) )
              & ( 10 = a(X244) )
              & ( 2 = b(X243) )
              & ( X244 != X246 ) )
        & ( z1 != z4 )
        & ! [X46: $int,X47: $int,X48: $int] :
            ~ ( ( X46 != X47 )
              & ( 2 = b(X48) )
              & $less(X48,X47)
              & ( X47 != X48 )
              & ( 10 = a(X48) )
              & ( X46 != X48 )
              & ( 5 = b(X47) )
              & ( 4 = a(X46) )
              & ( 2 = a(X47) ) )
        & ! [X65: $int,X67: $int,X66: $int] :
            ~ ( $less(b(X65),3)
              & ( X65 != X66 )
              & $less(X65,X66)
              & ( X66 != X67 )
              & ( 5 = b(X67) )
              & ( 6 = a(X66) )
              & ( 10 = a(X65) )
              & ( X65 != X67 ) )
        & ! [X38: $int,X37: $int,X36: $int,X39: $int] :
            ~ ( ( X37 != X39 )
              & $less(b(X39),3)
              & ( X38 != X39 )
              & ( 5 = a(X37) )
              & ( 5 = b(X38) )
              & $less(X39,X37)
              & ( X36 != X39 )
              & ( 10 = a(X39) )
              & ( X36 != X37 )
              & ( 2 = a(X36) )
              & ( X36 != X38 )
              & ( X37 != X38 ) )
        & ! [X275: $int,X277: $int,X278: $int,X276: $int] :
            ~ ( ( X275 != X276 )
              & $less(b(X277),3)
              & ( X275 != X278 )
              & ( X275 != X277 )
              & ( X276 != X277 )
              & ( X277 != X278 )
              & ( 2 = b(X276) )
              & ( X276 != X278 )
              & ( 4 = a(X278) )
              & ( 8 = a(X275) )
              & ( 10 = a(X277) )
              & $less(X277,X278) )
        & ! [X135: $int,X137: $int,X134: $int,X136: $int] :
            ~ ( ( X135 != X137 )
              & $less(b(X134),3)
              & ( 7 = a(X136) )
              & ( X134 != X137 )
              & ( 5 = b(X136) )
              & $less(X134,X136)
              & ( X135 != X136 )
              & ( 10 = a(X134) )
              & ( 4 = a(X135) )
              & ( X134 != X135 )
              & ( X136 != X137 )
              & ( 2 = b(X137) )
              & ( X134 != X136 ) )
        & ! [X21: $int,X22: $int,X23: $int] :
            ~ ( ( 5 = a(X21) )
              & ( 10 = a(X23) )
              & ( X21 != X22 )
              & ( 8 = a(X22) )
              & ( X21 != X23 )
              & ( X22 != X23 )
              & ( 2 = b(X22) )
              & $less(X23,X21)
              & $less(b(X23),3) )
        & ! [X235: $int,X233: $int,X234: $int] :
            ~ ( ( 5 = b(X234) )
              & ( 2 = b(X235) )
              & ( X233 != X234 )
              & ( 4 = a(X234) )
              & ( X233 != X235 )
              & ( 7 = a(X233) )
              & ( 10 = a(X235) )
              & ( X234 != X235 )
              & $less(X235,X234) )
        & ! [X242: $int,X241: $int,X240: $int] :
            ~ ( ( 10 = a(X241) )
              & ( 2 = b(X241) )
              & ( X240 != X242 )
              & $less(X241,X240)
              & ( 5 = a(X240) )
              & ( X240 != X241 )
              & ( 5 = b(X242) )
              & ( X241 != X242 ) )
        & ! [X159: $int,X157: $int,X160: $int,X158: $int] :
            ~ ( ( X157 != X159 )
              & ( X157 != X158 )
              & ( X159 != X160 )
              & ( 10 = a(X160) )
              & ( X158 != X160 )
              & ( 5 = b(X158) )
              & ( 5 = a(X158) )
              & ( X157 != X160 )
              & ( X158 != X159 )
              & ( 6 = a(X159) )
              & $less(X160,X158)
              & $less(b(X160),3)
              & ( 2 = b(X157) ) )
        & ! [X94: $int,X93: $int,X92: $int] :
            ~ ( ( 12 = a(X92) )
              & ( X93 != X94 )
              & $less(b(X93),4)
              & ( 7 = a(X93) )
              & ( 10 = a(X94) )
              & ( 5 = b(X92) )
              & ( X92 != X94 )
              & ( X92 != X93 )
              & ( 2 = b(X94) )
              & $less(X94,X92) )
        & ! [X121: $int,X122: $int,X120: $int,X123: $int] :
            ~ ( ( 5 = a(X120) )
              & ( X120 != X121 )
              & $less(X123,X120)
              & ( 8 = a(X121) )
              & ( X121 != X123 )
              & ( 10 = a(X123) )
              & ( 1 = a(X122) )
              & ( X122 != X123 )
              & ( X121 != X122 )
              & $less(b(X123),3)
              & ( X120 != X122 )
              & ( X120 != X123 ) )
        & ! [X231: $int,X232: $int,X230: $int] :
            ~ ( $less(X232,X231)
              & ( 2 = b(X232) )
              & ( X231 != X232 )
              & ( X230 != X232 )
              & ( X230 != X231 )
              & ( 10 = a(X232) )
              & ( 2 = a(X231) )
              & ( 5 = b(X231) )
              & ( 5 = a(X230) ) )
        & ! [X193: $int,X191: $int,X192: $int] :
            ~ ( ( X191 != X192 )
              & $less(X192,X193)
              & ( X191 != X193 )
              & ( 8 = a(X191) )
              & ( X192 != X193 )
              & ( 10 = a(X192) )
              & ( 2 = b(X191) )
              & ( 4 = a(X193) )
              & $less(b(X192),3) )
        & ! [X185: $int,X186: $int,X184: $int] :
            ~ ( ( 8 = a(X184) )
              & ( 1 = a(X186) )
              & ( X185 != X186 )
              & $less(X185,X186)
              & ( X184 != X186 )
              & $less(b(X185),3)
              & ( 10 = a(X185) )
              & ( X184 != X185 )
              & ( 2 = b(X184) ) )
        & ! [X258: $int,X256: $int,X257: $int] :
            ~ ( ( 10 = a(X257) )
              & ( X256 != X258 )
              & ( 5 = b(X258) )
              & ( X256 != X257 )
              & $less(X257,X258)
              & ( X257 != X258 )
              & ( 2 = b(X257) )
              & ( 7 = a(X256) )
              & ( 5 = a(X258) ) )
        & ! [X254: $int,X255: $int] :
            ~ ( ( 10 = a(X254) )
              & ( X254 != X255 )
              & ( 10 = a(X255) ) )
        & ! [X283: $int,X282: $int,X284: $int] :
            ~ ( ( 5 = a(X283) )
              & ( 5 = b(X283) )
              & $less(X282,X283)
              & ( X282 != X284 )
              & ( X282 != X283 )
              & $less(b(X282),3)
              & ( 2 = b(X284) )
              & ( 7 = a(X284) )
              & ( X283 != X284 )
              & ( 10 = a(X282) ) )
        & ! [X225: $int,X223: $int,X224: $int] :
            ~ ( ( X223 != X225 )
              & ( 10 = a(X223) )
              & ( 5 = b(X225) )
              & ( X224 != X225 )
              & ( 4 = a(X225) )
              & ( 5 = a(X224) )
              & ( 2 = b(X223) )
              & ( X223 != X224 )
              & $less(X223,X225) )
        & ! [X265: $int,X266: $int,X267: $int] :
            ~ ( ( X266 != X267 )
              & $less(X266,X265)
              & ( 5 = b(X265) )
              & ( 2 = b(X266) )
              & ( 10 = a(X266) )
              & ( 4 = a(X267) )
              & ( 1 = a(X265) )
              & ( X265 != X266 )
              & ( X265 != X267 ) )
        & ! [X268: $int,X270: $int,X269: $int] :
            ~ ( ( 5 = b(X269) )
              & ( 10 = a(X270) )
              & ( X269 != X270 )
              & ( X268 != X270 )
              & ( X268 != X269 )
              & $less(X270,X269)
              & ( 12 = a(X269) )
              & ( 4 = a(X268) )
              & ( 2 = b(X270) ) )
        & ! [X249: $int,X247: $int,X250: $int,X248: $int] :
            ~ ( ( X247 != X249 )
              & $less(X248,X249)
              & ( 5 = b(X249) )
              & ( 5 = a(X247) )
              & ( X247 != X248 )
              & ( X248 != X249 )
              & ( X247 != X250 )
              & ( 10 = a(X248) )
              & ( 7 = a(X249) )
              & ( X248 != X250 )
              & ( 2 = b(X250) )
              & ( X249 != X250 )
              & $less(b(X248),3) )
        & ! [X112: $int,X109: $int,X110: $int,X111: $int] :
            ~ ( ( X109 != X110 )
              & $less(b(X109),3)
              & ( 7 = a(X111) )
              & ( 10 = a(X109) )
              & $less(X109,X112)
              & ( X109 != X111 )
              & ( X111 != X112 )
              & ( X109 != X112 )
              & ( X110 != X111 )
              & ( 5 = b(X110) )
              & ( X110 != X112 )
              & ( 2 = b(X111) )
              & ( 12 = a(X112) ) )
        & ! [X70: $int,X69: $int,X71: $int,X68: $int] :
            ~ ( $less(b(X71),3)
              & ( X69 != X70 )
              & ( X68 != X71 )
              & ( 10 = a(X71) )
              & ( 2 = a(X70) )
              & ( X68 != X70 )
              & $less(X71,X69)
              & ( X70 != X71 )
              & ( 4 = a(X69) )
              & ( 5 = b(X68) )
              & ( X69 != X71 )
              & ( X68 != X69 ) )
        & ! [X144: $int,X145: $int,X146: $int] :
            ~ ( ( 12 = a(X144) )
              & $less(X146,X144)
              & ( X145 != X146 )
              & ( 5 = b(X144) )
              & ( 2 = b(X146) )
              & ( 5 = a(X145) )
              & ( X144 != X145 )
              & ( X144 != X146 )
              & ( 10 = a(X146) ) )
        & ! [X190: $int,X187: $int,X188: $int,X189: $int] :
            ~ ( ( X187 != X190 )
              & ( 10 = a(X187) )
              & ( X189 != X190 )
              & ( 4 = a(X190) )
              & ( 7 = a(X188) )
              & ( 2 = b(X188) )
              & ( X188 != X189 )
              & $less(X187,X190)
              & $less(b(X187),3)
              & ( 5 = b(X189) )
              & ( X188 != X190 )
              & ( X187 != X189 )
              & ( X187 != X188 ) )
        & ! [X80: $int,X79: $int,X78: $int,X81: $int] :
            ~ ( ( 5 = b(X79) )
              & ( X78 != X81 )
              & ( 10 = a(X81) )
              & ( X78 != X80 )
              & ( X79 != X80 )
              & ( 2 = b(X80) )
              & $less(b(X81),3)
              & ( 5 = a(X78) )
              & $less(X81,X78)
              & ( X79 != X81 )
              & ( X80 != X81 )
              & ( X78 != X79 ) )
        & ! [X221: $int,X220: $int,X222: $int] :
            ~ ( ( 7 = a(X221) )
              & $less(b(X221),4)
              & ( 5 = b(X222) )
              & ( 10 = a(X220) )
              & ( 1 = a(X222) )
              & $less(X220,X222)
              & ( X221 != X222 )
              & ( X220 != X222 )
              & ( X220 != X221 )
              & ( 2 = b(X220) ) )
        & ( z3 != z4 )
        & ! [X30: $int,X31: $int,X32: $int] :
            ~ ( $less(b(X30),3)
              & ( 5 = b(X32) )
              & ( X30 != X32 )
              & ( X30 != X31 )
              & ( 12 = a(X32) )
              & ( X31 != X32 )
              & ( 2 = b(X31) )
              & ( 10 = a(X30) )
              & ( 7 = a(X31) )
              & $less(X30,X32) )
        & ! [X18: $int,X19: $int,X17: $int,X20: $int] :
            ~ ( ( 2 = b(X19) )
              & ( X17 != X18 )
              & ( 10 = a(X20) )
              & $less(b(X20),3)
              & ( 4 = a(X18) )
              & ( X18 != X19 )
              & $less(X20,X18)
              & ( X19 != X20 )
              & ( X18 != X20 )
              & ( X17 != X19 )
              & ( X17 != X20 )
              & ( 5 = b(X17) ) )
        & ! [X57: $int,X58: $int,X59: $int] :
            ~ ( ( X57 != X58 )
              & ( 6 = a(X57) )
              & ( 5 = b(X58) )
              & ( X58 != X59 )
              & ( 10 = a(X59) )
              & ( 1 = a(X58) )
              & ( X57 != X59 )
              & ( 2 = b(X59) )
              & $less(X59,X58) )
        & ! [X27: $int,X28: $int,X29: $int] :
            ~ ( ( 7 = a(X27) )
              & $less(X29,X28)
              & ( 2 = a(X28) )
              & ( 10 = a(X29) )
              & $less(b(X29),3)
              & ( 2 = b(X27) )
              & ( X27 != X29 )
              & ( X27 != X28 )
              & ( 5 = b(X28) )
              & ( X28 != X29 ) )
        & ! [X60: $int,X61: $int] :
            ~ ( ( 9 = a(X60) )
              & $less(b(X61),3)
              & $less(X61,X60)
              & ( 10 = a(X61) )
              & ( X60 != X61 ) )
        & ! [X170: $int,X168: $int,X169: $int] :
            ~ ( $less(X168,X170)
              & ( 7 = a(X170) )
              & ( 7 = a(X169) )
              & ( X168 != X169 )
              & ( X169 != X170 )
              & ( 5 = b(X170) )
              & ( X168 != X170 )
              & $less(b(X168),3)
              & ( 10 = a(X168) ) )
        & ! [X260: $int,X261: $int,X259: $int] :
            ~ ( $less(X261,X259)
              & ( X260 != X261 )
              & ( X259 != X261 )
              & ( 10 = a(X261) )
              & ( X259 != X260 )
              & ( 5 = b(X259) )
              & ( 1 = a(X259) )
              & ( 2 = b(X261) )
              & ( 5 = a(X260) ) )
        & ! [X64: $int,X62: $int,X63: $int] :
            ~ ( ( X62 != X63 )
              & ( 5 = a(X64) )
              & ( 8 = a(X63) )
              & ( 10 = a(X62) )
              & ( 2 = b(X62) )
              & ( X63 != X64 )
              & $less(X62,X64)
              & ( X62 != X64 ) )
        & ! [X236: $int,X239: $int,X238: $int,X237: $int] :
            ~ ( ( 5 = a(X236) )
              & ( X236 != X238 )
              & $less(X239,X236)
              & ( X236 != X239 )
              & ( X237 != X238 )
              & ( X237 != X239 )
              & ( 8 = a(X238) )
              & ( 10 = a(X239) )
              & ( X238 != X239 )
              & $less(b(X239),3)
              & ( X236 != X237 )
              & ( 2 = a(X237) ) )
        & ! [X131: $int,X133: $int,X132: $int] :
            ~ ( ( 5 = a(X133) )
              & ( 7 = a(X132) )
              & ( X131 != X133 )
              & ( X131 != X132 )
              & ( X132 != X133 )
              & ( 5 = b(X132) )
              & $less(X131,X132)
              & ( 10 = a(X131) )
              & ( 2 = b(X131) ) )
        & ( z3 != z5 )
        & ! [X279: $int,X281: $int,X280: $int] :
            ~ ( ( 10 = a(X280) )
              & ( 2 = b(X280) )
              & ( 4 = a(X279) )
              & ( 8 = a(X281) )
              & ( X279 != X280 )
              & $less(X280,X279)
              & ( X280 != X281 )
              & ( X279 != X281 ) )
        & ! [X6: $int,X7: $int,X5: $int] :
            ~ ( ( X6 != X7 )
              & ( X5 != X7 )
              & ( 10 = a(X7) )
              & ( 2 = b(X7) )
              & ( X5 != X6 )
              & ( 5 = b(X5) )
              & $less(X7,X5)
              & ( 4 = a(X6) )
              & ( 5 = a(X5) ) )
        & ! [X76: $int,X75: $int,X77: $int] :
            ~ ( ( 5 = b(X75) )
              & ( 2 = a(X75) )
              & ( X76 != X77 )
              & ( X75 != X76 )
              & ( 10 = a(X76) )
              & ( 2 = b(X76) )
              & $less(X76,X75)
              & ( X75 != X77 )
              & ( 6 = a(X77) ) )
        & ! [X196: $int,X195: $int,X194: $int] :
            ~ ( ( 10 = a(X194) )
              & $less(b(X194),3)
              & ( 2 = a(X196) )
              & ( 8 = a(X195) )
              & ( X194 != X196 )
              & ( 2 = b(X195) )
              & $less(X194,X196)
              & ( X194 != X195 )
              & ( X195 != X196 ) )
        & ! [X45: $int,X43: $int,X44: $int] :
            ~ ( $less(X45,X43)
              & ( X44 != X45 )
              & ( 5 = b(X43) )
              & ( 10 = a(X45) )
              & ( X43 != X44 )
              & $less(b(X45),3)
              & ( 5 = a(X43) )
              & ( 2 = b(X44) )
              & ( X43 != X45 )
              & ( 6 = a(X44) ) )
        & ! [X150: $int,X152: $int,X151: $int,X153: $int] :
            ~ ( ( 3 = a(X150) )
              & ( X151 != X153 )
              & ( X151 != X152 )
              & ( 5 = b(X153) )
              & ( X150 != X151 )
              & $less(X152,X150)
              & $less(b(X151),4)
              & ( X150 != X153 )
              & ( 10 = a(X152) )
              & ( 7 = a(X151) )
              & ( 2 = b(X152) )
              & $less(b(X150),4)
              & ( X150 != X152 )
              & ( X152 != X153 ) )
        & ! [X83: $int,X82: $int,X84: $int] :
            ~ ( ( X82 != X83 )
              & $less(X82,X84)
              & ( X82 != X84 )
              & ( 5 = b(X84) )
              & ( 10 = a(X82) )
              & ( 2 = b(X82) )
              & ( X83 != X84 )
              & ( 6 = a(X83) )
              & ( 5 = a(X84) ) )
        & ! [X217: $int,X218: $int,X216: $int,X219: $int] :
            ~ ( ( 10 = a(X216) )
              & ( X216 != X217 )
              & ( 4 = a(X217) )
              & ( 2 = a(X219) )
              & ( 8 = a(X218) )
              & ( X218 != X219 )
              & ( X217 != X219 )
              & $less(X216,X217)
              & ( X216 != X218 )
              & $less(b(X216),3)
              & ( X216 != X219 )
              & ( X217 != X218 ) )
        & ! [X8: $int,X10: $int,X9: $int] :
            ~ ( ( 6 = a(X9) )
              & ( 8 = a(X8) )
              & ( 10 = a(X10) )
              & ( X8 != X9 )
              & ( X8 != X10 )
              & ( X9 != X10 )
              & $less(X10,X9)
              & $less(b(X10),3) )
        & ! [X212: $int,X213: $int,X214: $int,X215: $int] :
            ~ ( ( X214 != X215 )
              & $less(X212,X215)
              & $less(b(X212),3)
              & ( 5 = a(X215) )
              & ( X213 != X215 )
              & ( 2 = b(X213) )
              & ( X212 != X214 )
              & ( 10 = a(X212) )
              & ( 8 = a(X214) )
              & ( X212 != X213 )
              & ( X213 != X214 )
              & ( X212 != X215 ) )
        & ( z1 != z2 )
        & ! [X182: $int,X181: $int,X183: $int] :
            ~ ( $less(X182,X183)
              & ( X181 != X183 )
              & ( 4 = a(X183) )
              & ( 2 = b(X182) )
              & ( 5 = b(X181) )
              & ( X182 != X183 )
              & ( X181 != X182 )
              & ( 10 = a(X182) ) )
        & ! [X4: $int,X3: $int,X1: $int,X2: $int] :
            ~ ( ( 7 = a(X2) )
              & ( X3 != X4 )
              & ( 2 = a(X4) )
              & ( X2 != X4 )
              & ( X1 != X4 )
              & ( 5 = b(X2) )
              & $less(b(X3),3)
              & ( X1 != X3 )
              & $less(X3,X2)
              & ( X1 != X2 )
              & ( 10 = a(X3) )
              & ( X2 != X3 )
              & ( 5 = a(X1) ) )
        & ! [X252: $int,X253: $int,X251: $int] :
            ~ ( ( X251 != X253 )
              & $less(X251,X252)
              & ( X252 != X253 )
              & ( 7 = a(X253) )
              & ( 2 = a(X252) )
              & ( 2 = b(X251) )
              & ( X251 != X252 )
              & ( 5 = b(X252) )
              & $less(b(X253),4)
              & ( 10 = a(X251) ) )
        & ! [X172: $int,X173: $int,X174: $int,X171: $int] :
            ~ ( ( X171 != X172 )
              & ( X173 != X174 )
              & ( X171 != X174 )
              & $less(X171,X174)
              & ( 4 = a(X174) )
              & $less(b(X171),3)
              & ( X171 != X173 )
              & ( 10 = a(X171) )
              & ( 1 = a(X173) )
              & ( X172 != X174 )
              & ( X172 != X173 )
              & ( 5 = b(X172) ) )
        & ! [X167: $int,X166: $int,X164: $int,X165: $int] :
            ~ ( ( 5 = a(X167) )
              & $less(X165,X167)
              & ( X164 != X167 )
              & ( 5 = b(X167) )
              & ( 7 = a(X166) )
              & ( X165 != X167 )
              & $less(b(X165),3)
              & ( 10 = a(X165) )
              & ( X166 != X167 )
              & ( X164 != X165 )
              & ( 2 = a(X164) )
              & ( X164 != X166 )
              & ( X165 != X166 ) )
        & ! [X272: $int,X274: $int,X271: $int,X273: $int] :
            ~ ( ( 2 = b(X274) )
              & ( X272 != X273 )
              & ( 10 = a(X274) )
              & $less(b(X272),4)
              & ( X271 != X273 )
              & $less(X274,X271)
              & ( 5 = b(X273) )
              & ( 7 = a(X272) )
              & ( X271 != X272 )
              & ( 12 = a(X271) )
              & ( X273 != X274 )
              & ( X271 != X274 )
              & ( X272 != X274 ) )
        & ! [X139: $int,X138: $int,X140: $int] :
            ~ ( ( X138 != X140 )
              & ( 10 = a(X138) )
              & ( 5 = a(X139) )
              & ( X139 != X140 )
              & ( 5 = b(X140) )
              & $less(X138,X140)
              & ( 6 = a(X140) )
              & ( 2 = b(X138) )
              & ( X138 != X139 ) )
        & ! [X0: $int] :
            ( ~ $less(5,b(X0))
            & ~ $less(b(X0),1) )
        & ! [X149: $int,X148: $int,X147: $int] :
            ~ ( ( X147 != X149 )
              & ( 2 = b(X148) )
              & ( 2 = a(X149) )
              & ( 10 = a(X148) )
              & ( X148 != X149 )
              & ( 8 = a(X147) )
              & $less(X148,X149)
              & ( X147 != X148 )
              & $less(b(X147),4) )
        & ! [X263: $int,X262: $int,X264: $int] :
            ~ ( ( 2 = b(X262) )
              & ( 10 = a(X262) )
              & ( 4 = a(X264) )
              & $less(X262,X264)
              & ( X262 != X264 )
              & ( X262 != X263 )
              & ( 4 = a(X263) )
              & ( 5 = b(X264) )
              & ( X263 != X264 ) )
        & ! [X208: $int,X211: $int,X210: $int,X209: $int] :
            ~ ( ( 10 = a(X210) )
              & ( X209 != X211 )
              & ( X208 != X210 )
              & ( X208 != X209 )
              & ( 1 = a(X208) )
              & ( 7 = a(X211) )
              & $less(X210,X208)
              & $less(b(X211),4)
              & ( 2 = b(X210) )
              & ( X209 != X210 )
              & ( 5 = b(X209) )
              & ( X208 != X211 )
              & ( X210 != X211 ) )
        & ! [X200: $int,X199: $int,X198: $int,X197: $int] :
            ~ ( ( 2 = b(X198) )
              & ( X198 != X199 )
              & ( 10 = a(X199) )
              & $less(b(X197),4)
              & ( X197 != X198 )
              & ( X197 != X199 )
              & ( 8 = a(X200) )
              & $less(b(X199),3)
              & ( X199 != X200 )
              & $less(b(X200),4)
              & $less(X199,X197)
              & ( 3 = a(X197) )
              & ( X198 != X200 )
              & ( X197 != X200 ) )
        & ! [X207: $int,X205: $int,X206: $int] :
            ~ ( ( X206 != X207 )
              & ( 12 = a(X206) )
              & ( 10 = a(X207) )
              & ( X205 != X206 )
              & ( 8 = a(X205) )
              & $less(X207,X206)
              & $less(b(X207),3)
              & ( X205 != X207 )
              & ( 2 = b(X205) ) )
        & ! [X91: $int,X88: $int,X90: $int,X89: $int] :
            ~ ( ( X89 != X90 )
              & ( 10 = a(X91) )
              & ( 2 = b(X89) )
              & ( 7 = a(X90) )
              & ( X88 != X90 )
              & ( 5 = a(X88) )
              & ( 5 = b(X88) )
              & ( X88 != X89 )
              & ( X89 != X91 )
              & $less(X91,X88)
              & ( X88 != X91 )
              & ( X90 != X91 )
              & $less(b(X91),3) )
        & ! [X105: $int,X104: $int,X103: $int] :
            ~ ( $less(b(X103),4)
              & ( X103 != X105 )
              & $less(X104,X105)
              & ( X104 != X105 )
              & ( 8 = a(X103) )
              & ( 10 = a(X104) )
              & ( 1 = a(X105) )
              & ( 2 = b(X104) )
              & ( X103 != X104 ) )
        & ! [X107: $int,X106: $int,X108: $int] :
            ~ ( ( 6 = a(X106) )
              & ( 10 = a(X108) )
              & ( X106 != X108 )
              & $less(X108,X107)
              & ( X107 != X108 )
              & $less(b(X108),3)
              & ( 6 = a(X107) )
              & ( X106 != X107 )
              & ( 5 = b(X107) ) )
        & ( z2 != z5 )
        & ! [X33: $int,X35: $int,X34: $int] :
            ~ ( ( 10 = a(X35) )
              & ( 5 = b(X34) )
              & ( 2 = b(X35) )
              & ( 4 = a(X33) )
              & ( X34 != X35 )
              & ( 7 = a(X34) )
              & ( X33 != X35 )
              & $less(X35,X34)
              & ( X33 != X34 ) )
        & ! [X11: $int,X12: $int,X13: $int] :
            ~ ( ( 5 = a(X12) )
              & ( X11 != X12 )
              & ( 2 = b(X13) )
              & ( 5 = a(X11) )
              & $less(X13,X11)
              & ( X12 != X13 )
              & ( 10 = a(X13) )
              & ( 5 = b(X11) )
              & ( X11 != X13 ) )
        & ! [X176: $int,X175: $int,X177: $int] :
            ~ ( ( 10 = a(X177) )
              & ( X176 != X177 )
              & ( 2 = b(X175) )
              & ( X175 != X177 )
              & $less(b(X177),3)
              & ( 3 = a(X176) )
              & $less(b(X176),4)
              & $less(X177,X176)
              & ( 8 = a(X175) )
              & ( X175 != X176 ) ) )
     => ~ ( $less(z2,z1)
          & ( 5 = b(z3) )
          & ( 5 = a(z1) )
          & $less(b(z2),3)
          & ( 10 = a(z2) )
          & ( 5 = b(z4) )
          & ( 7 = a(z3) )
          & ( 1 = a(z4) ) ) ),
    inference(true_and_false_elimination,[],[f16]) ).

tff(f16,plain,
    ~ ( ( ! [X0: $int] :
            ( ~ $less(5,b(X0))
            & ~ $less(b(X0),1) )
        & ! [X4: $int,X3: $int,X1: $int,X2: $int] :
            ~ ( ( 7 = a(X2) )
              & ( X3 != X4 )
              & ( 2 = a(X4) )
              & ( X2 != X4 )
              & ( X1 != X4 )
              & ( 5 = b(X2) )
              & $less(b(X3),3)
              & ( X1 != X3 )
              & $less(X3,X2)
              & ( X1 != X2 )
              & ( 10 = a(X3) )
              & ( X2 != X3 )
              & ( 5 = a(X1) ) )
        & ! [X6: $int,X7: $int,X5: $int] :
            ~ ( ( X6 != X7 )
              & ( X5 != X7 )
              & ( 10 = a(X7) )
              & ( 2 = b(X7) )
              & ( X5 != X6 )
              & ( 5 = b(X5) )
              & $less(X7,X5)
              & ( 4 = a(X6) )
              & ( 5 = a(X5) ) )
        & ! [X8: $int,X10: $int,X9: $int] :
            ~ ( ( 6 = a(X9) )
              & ( 8 = a(X8) )
              & ( 10 = a(X10) )
              & ( X8 != X9 )
              & ( X8 != X10 )
              & ( X9 != X10 )
              & $less(X10,X9)
              & $less(b(X10),3) )
        & ! [X11: $int,X12: $int,X13: $int] :
            ~ ( ( 5 = a(X12) )
              & ( X11 != X12 )
              & ( 2 = b(X13) )
              & ( 5 = a(X11) )
              & $less(X13,X11)
              & ( X12 != X13 )
              & ( 10 = a(X13) )
              & ( 5 = b(X11) )
              & ( X11 != X13 ) )
        & ! [X14: $int,X15: $int] :
            ~ ( ( X14 != X15 )
              & $less(X15,X14)
              & ( 8 = a(X14) )
              & ( 10 = a(X15) )
              & $less(b(X15),3) )
        & ! [X16: $int] :
            ( ~ $less(12,a(X16))
            & ~ $less(a(X16),1) )
        & ! [X18: $int,X19: $int,X17: $int,X20: $int] :
            ~ ( ( 2 = b(X19) )
              & ( X17 != X18 )
              & ( 10 = a(X20) )
              & $less(b(X20),3)
              & ( 4 = a(X18) )
              & ( X18 != X19 )
              & $less(X20,X18)
              & ( X19 != X20 )
              & ( X18 != X20 )
              & ( X17 != X19 )
              & ( X17 != X20 )
              & ( 5 = b(X17) ) )
        & ! [X21: $int,X22: $int,X23: $int] :
            ~ ( ( 5 = a(X21) )
              & ( 10 = a(X23) )
              & ( X21 != X22 )
              & ( 8 = a(X22) )
              & ( X21 != X23 )
              & ( X22 != X23 )
              & ( 2 = b(X22) )
              & $less(X23,X21)
              & $less(b(X23),3) )
        & ! [X24: $int,X26: $int,X25: $int] :
            ~ ( ( 5 = b(X26) )
              & ( X24 != X25 )
              & ( 2 = b(X24) )
              & ( 6 = a(X25) )
              & ( X24 != X26 )
              & $less(X24,X26)
              & ( 10 = a(X24) )
              & ( X25 != X26 )
              & ( 12 = a(X26) ) )
        & ! [X27: $int,X28: $int,X29: $int] :
            ~ ( ( 7 = a(X27) )
              & $less(X29,X28)
              & ( 2 = a(X28) )
              & ( 10 = a(X29) )
              & $less(b(X29),3)
              & ( 2 = b(X27) )
              & ( X27 != X29 )
              & ( X27 != X28 )
              & ( 5 = b(X28) )
              & ( X28 != X29 ) )
        & ! [X30: $int,X31: $int,X32: $int] :
            ~ ( $less(b(X30),3)
              & ( 5 = b(X32) )
              & ( X30 != X32 )
              & ( X30 != X31 )
              & ( 12 = a(X32) )
              & ( X31 != X32 )
              & ( 2 = b(X31) )
              & ( 10 = a(X30) )
              & ( 7 = a(X31) )
              & $less(X30,X32) )
        & ! [X33: $int,X35: $int,X34: $int] :
            ~ ( ( 10 = a(X35) )
              & ( 5 = b(X34) )
              & ( 2 = b(X35) )
              & ( 4 = a(X33) )
              & ( X34 != X35 )
              & ( 7 = a(X34) )
              & ( X33 != X35 )
              & $less(X35,X34)
              & ( X33 != X34 ) )
        & ! [X38: $int,X37: $int,X36: $int,X39: $int] :
            ~ ( ( X37 != X39 )
              & $less(b(X39),3)
              & ( X38 != X39 )
              & ( 5 = a(X37) )
              & ( 5 = b(X38) )
              & $less(X39,X37)
              & ( X36 != X39 )
              & ( 10 = a(X39) )
              & ( X36 != X37 )
              & ( 2 = a(X36) )
              & ( X36 != X38 )
              & ( X37 != X38 ) )
        & ! [X42: $int,X41: $int,X40: $int] :
            ~ ( ( 7 = a(X41) )
              & ( X41 != X42 )
              & ( X40 != X41 )
              & ( 5 = b(X40) )
              & ( 6 = a(X40) )
              & ( X40 != X42 )
              & $less(X42,X40)
              & ( 10 = a(X42) )
              & $less(b(X42),3) )
        & ! [X45: $int,X43: $int,X44: $int] :
            ~ ( $less(X45,X43)
              & ( X44 != X45 )
              & ( 5 = b(X43) )
              & ( 10 = a(X45) )
              & ( X43 != X44 )
              & $less(b(X45),3)
              & ( 5 = a(X43) )
              & ( 2 = b(X44) )
              & ( X43 != X45 )
              & ( 6 = a(X44) ) )
        & ! [X46: $int,X47: $int,X48: $int] :
            ~ ( ( X46 != X47 )
              & ( 2 = b(X48) )
              & $less(X48,X47)
              & ( X47 != X48 )
              & ( 10 = a(X48) )
              & ( X46 != X48 )
              & ( 5 = b(X47) )
              & ( 4 = a(X46) )
              & ( 2 = a(X47) ) )
        & ! [X51: $int,X49: $int,X52: $int,X50: $int] :
            ~ ( ( 5 = a(X50) )
              & ( X50 != X52 )
              & ( X51 != X52 )
              & $less(b(X51),3)
              & ( 5 = b(X52) )
              & ( X50 != X51 )
              & ( X49 != X50 )
              & ( X49 != X51 )
              & ( 10 = a(X51) )
              & ( X49 != X52 )
              & ( 1 = a(X49) )
              & $less(X51,X50) )
        & ! [X55: $int,X56: $int,X53: $int,X54: $int] :
            ~ ( ( 2 = a(X55) )
              & ( 10 = a(X54) )
              & ( X53 != X54 )
              & ( X53 != X56 )
              & ( X55 != X56 )
              & ( 5 = b(X53) )
              & $less(b(X54),3)
              & ( 2 = b(X56) )
              & ( X53 != X55 )
              & ( X54 != X56 )
              & ( X54 != X55 )
              & ( 7 = a(X56) )
              & $less(X54,X55) )
        & ! [X57: $int,X58: $int,X59: $int] :
            ~ ( ( X57 != X58 )
              & ( 6 = a(X57) )
              & ( 5 = b(X58) )
              & ( X58 != X59 )
              & ( 10 = a(X59) )
              & ( 1 = a(X58) )
              & ( X57 != X59 )
              & ( 2 = b(X59) )
              & $less(X59,X58) )
        & ! [X60: $int,X61: $int] :
            ~ ( ( 9 = a(X60) )
              & $less(b(X61),3)
              & $less(X61,X60)
              & ( 10 = a(X61) )
              & ( X60 != X61 ) )
        & ! [X64: $int,X62: $int,X63: $int] :
            ~ ( ( X62 != X63 )
              & ( 5 = a(X64) )
              & ( 8 = a(X63) )
              & ( 10 = a(X62) )
              & ( 2 = b(X62) )
              & ( X63 != X64 )
              & $less(X62,X64)
              & ( X62 != X64 ) )
        & ! [X65: $int,X67: $int,X66: $int] :
            ~ ( $less(b(X65),3)
              & ( X65 != X66 )
              & $less(X65,X66)
              & ( X66 != X67 )
              & ( 5 = b(X67) )
              & ( 6 = a(X66) )
              & ( 10 = a(X65) )
              & ( X65 != X67 ) )
        & ! [X70: $int,X69: $int,X71: $int,X68: $int] :
            ~ ( $less(b(X71),3)
              & ( X69 != X70 )
              & ( X68 != X71 )
              & ( 10 = a(X71) )
              & ( 2 = a(X70) )
              & ( X68 != X70 )
              & $less(X71,X69)
              & ( X70 != X71 )
              & ( 4 = a(X69) )
              & ( 5 = b(X68) )
              & ( X69 != X71 )
              & ( X68 != X69 ) )
        & ! [X72: $int,X74: $int,X73: $int] :
            ~ ( ( X72 != X74 )
              & ( 1 = a(X72) )
              & ( 5 = b(X72) )
              & ( 7 = a(X74) )
              & $less(X73,X72)
              & ( X73 != X74 )
              & ( 10 = a(X73) )
              & $less(b(X73),3)
              & ( 2 = b(X74) )
              & ( X72 != X73 ) )
        & ! [X76: $int,X75: $int,X77: $int] :
            ~ ( ( 5 = b(X75) )
              & ( 2 = a(X75) )
              & ( X76 != X77 )
              & ( X75 != X76 )
              & ( 10 = a(X76) )
              & ( 2 = b(X76) )
              & $less(X76,X75)
              & ( X75 != X77 )
              & ( 6 = a(X77) ) )
        & ! [X80: $int,X79: $int,X78: $int,X81: $int] :
            ~ ( ( 5 = b(X79) )
              & ( X78 != X81 )
              & ( 10 = a(X81) )
              & ( X78 != X80 )
              & ( X79 != X80 )
              & ( 2 = b(X80) )
              & $less(b(X81),3)
              & ( 5 = a(X78) )
              & $less(X81,X78)
              & ( X79 != X81 )
              & ( X80 != X81 )
              & ( X78 != X79 ) )
        & ! [X83: $int,X82: $int,X84: $int] :
            ~ ( ( X82 != X83 )
              & $less(X82,X84)
              & ( X82 != X84 )
              & ( 5 = b(X84) )
              & ( 10 = a(X82) )
              & ( 2 = b(X82) )
              & ( X83 != X84 )
              & ( 6 = a(X83) )
              & ( 5 = a(X84) ) )
        & ! [X85: $int,X86: $int,X87: $int] :
            ~ ( ( 10 = a(X85) )
              & ( X85 != X86 )
              & ( 4 = a(X87) )
              & ( X86 != X87 )
              & ( 5 = b(X87) )
              & ( 6 = a(X86) )
              & ( 2 = b(X85) )
              & $less(X85,X87)
              & ( X85 != X87 ) )
        & ! [X91: $int,X88: $int,X90: $int,X89: $int] :
            ~ ( ( X89 != X90 )
              & ( 10 = a(X91) )
              & ( 2 = b(X89) )
              & ( 7 = a(X90) )
              & ( X88 != X90 )
              & ( 5 = a(X88) )
              & ( 5 = b(X88) )
              & ( X88 != X89 )
              & ( X89 != X91 )
              & $less(X91,X88)
              & ( X88 != X91 )
              & ( X90 != X91 )
              & $less(b(X91),3) )
        & ( z2 != z3 )
        & ! [X94: $int,X93: $int,X92: $int] :
            ~ ( ( 12 = a(X92) )
              & ( X93 != X94 )
              & $less(b(X93),4)
              & ( 7 = a(X93) )
              & ( 10 = a(X94) )
              & ( 5 = b(X92) )
              & ( X92 != X94 )
              & ( X92 != X93 )
              & ( 2 = b(X94) )
              & $less(X94,X92) )
        & ! [X95: $int,X97: $int,X98: $int,X96: $int] :
            ~ ( $less(X97,X95)
              & ( 10 = a(X97) )
              & ( X95 != X98 )
              & ( X95 != X96 )
              & ( 2 = a(X96) )
              & ( X95 != X97 )
              & ( 5 = b(X96) )
              & ( X96 != X98 )
              & ( X96 != X97 )
              & ( 5 = a(X95) )
              & $less(b(X97),3)
              & ( 7 = a(X98) )
              & ( X97 != X98 ) )
        & ! [X100: $int,X99: $int,X101: $int,X102: $int] :
            ~ ( ( 2 = b(X102) )
              & ( 5 = b(X101) )
              & ( 2 = b(X99) )
              & ( 10 = a(X100) )
              & ( X99 != X101 )
              & ( 5 = a(X102) )
              & ( X100 != X101 )
              & ( X101 != X102 )
              & ( X99 != X100 )
              & $less(X100,X101)
              & ( X100 != X102 )
              & ( X99 != X102 )
              & $less(b(X100),3)
              & ( 5 = a(X101) ) )
        & ! [X105: $int,X104: $int,X103: $int] :
            ~ ( $less(b(X103),4)
              & ( X103 != X105 )
              & $less(X104,X105)
              & ( X104 != X105 )
              & ( 8 = a(X103) )
              & ( 10 = a(X104) )
              & ( 1 = a(X105) )
              & ( 2 = b(X104) )
              & ( X103 != X104 ) )
        & ! [X107: $int,X106: $int,X108: $int] :
            ~ ( ( 6 = a(X106) )
              & ( 10 = a(X108) )
              & ( X106 != X108 )
              & $less(X108,X107)
              & ( X107 != X108 )
              & $less(b(X108),3)
              & ( 6 = a(X107) )
              & ( X106 != X107 )
              & ( 5 = b(X107) ) )
        & ! [X112: $int,X109: $int,X110: $int,X111: $int] :
            ~ ( ( X109 != X110 )
              & $less(b(X109),3)
              & ( 7 = a(X111) )
              & ( 10 = a(X109) )
              & $less(X109,X112)
              & ( X109 != X111 )
              & ( X111 != X112 )
              & ( X109 != X112 )
              & ( X110 != X111 )
              & ( 5 = b(X110) )
              & ( X110 != X112 )
              & ( 2 = b(X111) )
              & ( 12 = a(X112) ) )
        & $true
        & ! [X115: $int,X114: $int,X113: $int] :
            ~ ( ( 10 = a(X115) )
              & ( 5 = b(X114) )
              & ( X113 != X115 )
              & $less(X115,X114)
              & ( 7 = a(X114) )
              & ( 6 = a(X113) )
              & $less(b(X115),3)
              & ( X114 != X115 )
              & ( X113 != X114 ) )
        & ! [X117: $int,X118: $int,X116: $int,X119: $int] :
            ~ ( ( 10 = a(X117) )
              & ( X118 != X119 )
              & $less(b(X118),4)
              & ( X117 != X119 )
              & $less(X117,X116)
              & ( 7 = a(X118) )
              & ( 5 = b(X119) )
              & ( 2 = b(X117) )
              & ( X116 != X117 )
              & ( X116 != X119 )
              & ( X117 != X118 )
              & ( 2 = a(X116) )
              & ( X116 != X118 ) )
        & ! [X121: $int,X122: $int,X120: $int,X123: $int] :
            ~ ( ( 5 = a(X120) )
              & ( X120 != X121 )
              & $less(X123,X120)
              & ( 8 = a(X121) )
              & ( X121 != X123 )
              & ( 10 = a(X123) )
              & ( 1 = a(X122) )
              & ( X122 != X123 )
              & ( X121 != X122 )
              & $less(b(X123),3)
              & ( X120 != X122 )
              & ( X120 != X123 ) )
        & ! [X127: $int,X125: $int,X124: $int,X126: $int] :
            ~ ( ( X126 != X127 )
              & ( 2 = b(X124) )
              & ( X124 != X125 )
              & $less(X126,X125)
              & ( X124 != X127 )
              & ( X124 != X126 )
              & ( 1 = a(X125) )
              & ( 5 = b(X127) )
              & ( 7 = a(X124) )
              & $less(b(X126),3)
              & ( X125 != X127 )
              & ( 10 = a(X126) )
              & ( X125 != X126 ) )
        & ! [X128: $int,X129: $int,X130: $int] :
            ~ ( ( X128 != X130 )
              & ( 10 = a(X130) )
              & $less(X130,X128)
              & $less(b(X130),3)
              & ( X129 != X130 )
              & ( X128 != X129 )
              & ( 7 = a(X128) )
              & ( 5 = b(X129) ) )
        & ! [X131: $int,X133: $int,X132: $int] :
            ~ ( ( 5 = a(X133) )
              & ( 7 = a(X132) )
              & ( X131 != X133 )
              & ( X131 != X132 )
              & ( X132 != X133 )
              & ( 5 = b(X132) )
              & $less(X131,X132)
              & ( 10 = a(X131) )
              & ( 2 = b(X131) ) )
        & ! [X135: $int,X137: $int,X134: $int,X136: $int] :
            ~ ( ( X135 != X137 )
              & $less(b(X134),3)
              & ( 7 = a(X136) )
              & ( X134 != X137 )
              & ( 5 = b(X136) )
              & $less(X134,X136)
              & ( X135 != X136 )
              & ( 10 = a(X134) )
              & ( 4 = a(X135) )
              & ( X134 != X135 )
              & ( X136 != X137 )
              & ( 2 = b(X137) )
              & ( X134 != X136 ) )
        & ! [X139: $int,X138: $int,X140: $int] :
            ~ ( ( X138 != X140 )
              & ( 10 = a(X138) )
              & ( 5 = a(X139) )
              & ( X139 != X140 )
              & ( 5 = b(X140) )
              & $less(X138,X140)
              & ( 6 = a(X140) )
              & ( 2 = b(X138) )
              & ( X138 != X139 ) )
        & ! [X143: $int,X141: $int,X142: $int] :
            ~ ( ( X142 != X143 )
              & $less(b(X141),3)
              & $less(X141,X143)
              & ( X141 != X142 )
              & ( X141 != X143 )
              & ( 8 = a(X142) )
              & ( 7 = a(X143) )
              & ( 10 = a(X141) ) )
        & ! [X144: $int,X145: $int,X146: $int] :
            ~ ( ( 12 = a(X144) )
              & $less(X146,X144)
              & ( X145 != X146 )
              & ( 5 = b(X144) )
              & ( 2 = b(X146) )
              & ( 5 = a(X145) )
              & ( X144 != X145 )
              & ( X144 != X146 )
              & ( 10 = a(X146) ) )
        & ! [X149: $int,X148: $int,X147: $int] :
            ~ ( ( X147 != X149 )
              & ( 2 = b(X148) )
              & ( 2 = a(X149) )
              & ( 10 = a(X148) )
              & ( X148 != X149 )
              & ( 8 = a(X147) )
              & $less(X148,X149)
              & ( X147 != X148 )
              & $less(b(X147),4) )
        & ! [X150: $int,X152: $int,X151: $int,X153: $int] :
            ~ ( ( 3 = a(X150) )
              & ( X151 != X153 )
              & ( X151 != X152 )
              & ( 5 = b(X153) )
              & ( X150 != X151 )
              & $less(X152,X150)
              & $less(b(X151),4)
              & ( X150 != X153 )
              & ( 10 = a(X152) )
              & ( 7 = a(X151) )
              & ( 2 = b(X152) )
              & $less(b(X150),4)
              & ( X150 != X152 )
              & ( X152 != X153 ) )
        & ( z1 != z5 )
        & ! [X155: $int,X154: $int,X156: $int] :
            ~ ( ( X154 != X156 )
              & $less(X154,X155)
              & ( 5 = b(X155) )
              & ( 7 = a(X156) )
              & ( 4 = a(X155) )
              & ( X154 != X155 )
              & ( X155 != X156 )
              & ( 10 = a(X154) )
              & $less(b(X154),3)
              & ( 2 = b(X156) ) )
        & ! [X159: $int,X157: $int,X160: $int,X158: $int] :
            ~ ( ( X157 != X159 )
              & ( X157 != X158 )
              & ( X159 != X160 )
              & ( 10 = a(X160) )
              & ( X158 != X160 )
              & ( 5 = b(X158) )
              & ( 5 = a(X158) )
              & ( X157 != X160 )
              & ( X158 != X159 )
              & ( 6 = a(X159) )
              & $less(X160,X158)
              & $less(b(X160),3)
              & ( 2 = b(X157) ) )
        & ! [X163: $int,X161: $int,X162: $int] :
            ~ ( $less(b(X161),4)
              & ( 8 = a(X162) )
              & $less(b(X162),4)
              & ( X161 != X163 )
              & ( X161 != X162 )
              & ( 3 = a(X161) )
              & ( 2 = b(X163) )
              & $less(X163,X161)
              & ( X162 != X163 )
              & ( 10 = a(X163) ) )
        & ! [X167: $int,X166: $int,X164: $int,X165: $int] :
            ~ ( ( 5 = a(X167) )
              & $less(X165,X167)
              & ( X164 != X167 )
              & ( 5 = b(X167) )
              & ( 7 = a(X166) )
              & ( X165 != X167 )
              & $less(b(X165),3)
              & ( 10 = a(X165) )
              & ( X166 != X167 )
              & ( X164 != X165 )
              & ( 2 = a(X164) )
              & ( X164 != X166 )
              & ( X165 != X166 ) )
        & ( z1 != z3 )
        & ! [X170: $int,X168: $int,X169: $int] :
            ~ ( $less(X168,X170)
              & ( 7 = a(X170) )
              & ( 7 = a(X169) )
              & ( X168 != X169 )
              & ( X169 != X170 )
              & ( 5 = b(X170) )
              & ( X168 != X170 )
              & $less(b(X168),3)
              & ( 10 = a(X168) ) )
        & ! [X172: $int,X173: $int,X174: $int,X171: $int] :
            ~ ( ( X171 != X172 )
              & ( X173 != X174 )
              & ( X171 != X174 )
              & $less(X171,X174)
              & ( 4 = a(X174) )
              & $less(b(X171),3)
              & ( X171 != X173 )
              & ( 10 = a(X171) )
              & ( 1 = a(X173) )
              & ( X172 != X174 )
              & ( X172 != X173 )
              & ( 5 = b(X172) ) )
        & ( z1 != z2 )
        & ! [X176: $int,X175: $int,X177: $int] :
            ~ ( ( 10 = a(X177) )
              & ( X176 != X177 )
              & ( 2 = b(X175) )
              & ( X175 != X177 )
              & $less(b(X177),3)
              & ( 3 = a(X176) )
              & $less(b(X176),4)
              & $less(X177,X176)
              & ( 8 = a(X175) )
              & ( X175 != X176 ) )
        & ( z1 != z4 )
        & ! [X178: $int,X179: $int,X180: $int] :
            ~ ( ( X179 != X180 )
              & $less(X178,X180)
              & ( 2 = b(X178) )
              & ( 10 = a(X178) )
              & ( 5 = b(X180) )
              & ( 6 = a(X180) )
              & ( 4 = a(X179) )
              & ( X178 != X180 )
              & ( X178 != X179 ) )
        & ! [X182: $int,X181: $int,X183: $int] :
            ~ ( $less(X182,X183)
              & ( X181 != X183 )
              & ( 4 = a(X183) )
              & ( 2 = b(X182) )
              & ( 5 = b(X181) )
              & ( X182 != X183 )
              & ( X181 != X182 )
              & ( 10 = a(X182) ) )
        & ! [X185: $int,X186: $int,X184: $int] :
            ~ ( ( 8 = a(X184) )
              & ( 1 = a(X186) )
              & ( X185 != X186 )
              & $less(X185,X186)
              & ( X184 != X186 )
              & $less(b(X185),3)
              & ( 10 = a(X185) )
              & ( X184 != X185 )
              & ( 2 = b(X184) ) )
        & ! [X190: $int,X187: $int,X188: $int,X189: $int] :
            ~ ( ( X187 != X190 )
              & ( 10 = a(X187) )
              & ( X189 != X190 )
              & ( 4 = a(X190) )
              & ( 7 = a(X188) )
              & ( 2 = b(X188) )
              & ( X188 != X189 )
              & $less(X187,X190)
              & $less(b(X187),3)
              & ( 5 = b(X189) )
              & ( X188 != X190 )
              & ( X187 != X189 )
              & ( X187 != X188 ) )
        & ! [X193: $int,X191: $int,X192: $int] :
            ~ ( ( X191 != X192 )
              & $less(X192,X193)
              & ( X191 != X193 )
              & ( 8 = a(X191) )
              & ( X192 != X193 )
              & ( 10 = a(X192) )
              & ( 2 = b(X191) )
              & ( 4 = a(X193) )
              & $less(b(X192),3) )
        & ! [X196: $int,X195: $int,X194: $int] :
            ~ ( ( 10 = a(X194) )
              & $less(b(X194),3)
              & ( 2 = a(X196) )
              & ( 8 = a(X195) )
              & ( X194 != X196 )
              & ( 2 = b(X195) )
              & $less(X194,X196)
              & ( X194 != X195 )
              & ( X195 != X196 ) )
        & ! [X200: $int,X199: $int,X198: $int,X197: $int] :
            ~ ( ( 2 = b(X198) )
              & ( X198 != X199 )
              & ( 10 = a(X199) )
              & $less(b(X197),4)
              & ( X197 != X198 )
              & ( X197 != X199 )
              & ( 8 = a(X200) )
              & $less(b(X199),3)
              & ( X199 != X200 )
              & $less(b(X200),4)
              & $less(X199,X197)
              & ( 3 = a(X197) )
              & ( X198 != X200 )
              & ( X197 != X200 ) )
        & ! [X203: $int,X201: $int,X204: $int,X202: $int] :
            ~ ( $less(b(X202),4)
              & ( 2 = b(X204) )
              & ( X202 != X203 )
              & ( 7 = a(X204) )
              & ( X201 != X202 )
              & $less(X203,X202)
              & ( X203 != X204 )
              & ( X202 != X204 )
              & $less(b(X203),3)
              & ( 3 = a(X202) )
              & ( X201 != X204 )
              & ( X201 != X203 )
              & ( 5 = b(X201) )
              & ( 10 = a(X203) ) )
        & ! [X207: $int,X205: $int,X206: $int] :
            ~ ( ( X206 != X207 )
              & ( 12 = a(X206) )
              & ( 10 = a(X207) )
              & ( X205 != X206 )
              & ( 8 = a(X205) )
              & $less(X207,X206)
              & $less(b(X207),3)
              & ( X205 != X207 )
              & ( 2 = b(X205) ) )
        & ! [X208: $int,X211: $int,X210: $int,X209: $int] :
            ~ ( ( 10 = a(X210) )
              & ( X209 != X211 )
              & ( X208 != X210 )
              & ( X208 != X209 )
              & ( 1 = a(X208) )
              & ( 7 = a(X211) )
              & $less(X210,X208)
              & $less(b(X211),4)
              & ( 2 = b(X210) )
              & ( X209 != X210 )
              & ( 5 = b(X209) )
              & ( X208 != X211 )
              & ( X210 != X211 ) )
        & ! [X212: $int,X213: $int,X214: $int,X215: $int] :
            ~ ( ( X214 != X215 )
              & $less(X212,X215)
              & $less(b(X212),3)
              & ( 5 = a(X215) )
              & ( X213 != X215 )
              & ( 2 = b(X213) )
              & ( X212 != X214 )
              & ( 10 = a(X212) )
              & ( 8 = a(X214) )
              & ( X212 != X213 )
              & ( X213 != X214 )
              & ( X212 != X215 ) )
        & ! [X217: $int,X218: $int,X216: $int,X219: $int] :
            ~ ( ( 10 = a(X216) )
              & ( X216 != X217 )
              & ( 4 = a(X217) )
              & ( 2 = a(X219) )
              & ( 8 = a(X218) )
              & ( X218 != X219 )
              & ( X217 != X219 )
              & $less(X216,X217)
              & ( X216 != X218 )
              & $less(b(X216),3)
              & ( X216 != X219 )
              & ( X217 != X218 ) )
        & ! [X221: $int,X220: $int,X222: $int] :
            ~ ( ( 7 = a(X221) )
              & $less(b(X221),4)
              & ( 5 = b(X222) )
              & ( 10 = a(X220) )
              & ( 1 = a(X222) )
              & $less(X220,X222)
              & ( X221 != X222 )
              & ( X220 != X222 )
              & ( X220 != X221 )
              & ( 2 = b(X220) ) )
        & ! [X225: $int,X223: $int,X224: $int] :
            ~ ( ( X223 != X225 )
              & ( 10 = a(X223) )
              & ( 5 = b(X225) )
              & ( X224 != X225 )
              & ( 4 = a(X225) )
              & ( 5 = a(X224) )
              & ( 2 = b(X223) )
              & ( X223 != X224 )
              & $less(X223,X225) )
        & ! [X227: $int,X228: $int,X226: $int,X229: $int] :
            ~ ( $less(b(X226),3)
              & ( 6 = a(X229) )
              & ( 10 = a(X226) )
              & $less(X226,X229)
              & ( 2 = b(X227) )
              & ( X226 != X227 )
              & ( 5 = a(X228) )
              & ( X227 != X228 )
              & ( X226 != X228 )
              & ( X226 != X229 )
              & ( 5 = b(X229) )
              & ( X227 != X229 )
              & ( X228 != X229 ) )
        & ! [X231: $int,X232: $int,X230: $int] :
            ~ ( $less(X232,X231)
              & ( 2 = b(X232) )
              & ( X231 != X232 )
              & ( X230 != X232 )
              & ( X230 != X231 )
              & ( 10 = a(X232) )
              & ( 2 = a(X231) )
              & ( 5 = b(X231) )
              & ( 5 = a(X230) ) )
        & ! [X235: $int,X233: $int,X234: $int] :
            ~ ( ( 5 = b(X234) )
              & ( 2 = b(X235) )
              & ( X233 != X234 )
              & ( 4 = a(X234) )
              & ( X233 != X235 )
              & ( 7 = a(X233) )
              & ( 10 = a(X235) )
              & ( X234 != X235 )
              & $less(X235,X234) )
        & ! [X236: $int,X239: $int,X238: $int,X237: $int] :
            ~ ( ( 5 = a(X236) )
              & ( X236 != X238 )
              & $less(X239,X236)
              & ( X236 != X239 )
              & ( X237 != X238 )
              & ( X237 != X239 )
              & ( 8 = a(X238) )
              & ( 10 = a(X239) )
              & ( X238 != X239 )
              & $less(b(X239),3)
              & ( X236 != X237 )
              & ( 2 = a(X237) ) )
        & ! [X242: $int,X241: $int,X240: $int] :
            ~ ( ( 10 = a(X241) )
              & ( 2 = b(X241) )
              & ( X240 != X242 )
              & $less(X241,X240)
              & ( 5 = a(X240) )
              & ( X240 != X241 )
              & ( 5 = b(X242) )
              & ( X241 != X242 ) )
        & ! [X245: $int,X246: $int,X243: $int,X244: $int] :
            ~ ( ( X245 != X246 )
              & ( X243 != X244 )
              & $less(b(X244),3)
              & ( 5 = b(X245) )
              & ( X243 != X245 )
              & ( X244 != X245 )
              & $less(X244,X245)
              & ( X243 != X246 )
              & ( 7 = a(X246) )
              & ( 4 = a(X245) )
              & ( 10 = a(X244) )
              & ( 2 = b(X243) )
              & ( X244 != X246 ) )
        & ! [X249: $int,X247: $int,X250: $int,X248: $int] :
            ~ ( ( X247 != X249 )
              & $less(X248,X249)
              & ( 5 = b(X249) )
              & ( 5 = a(X247) )
              & ( X247 != X248 )
              & ( X248 != X249 )
              & ( X247 != X250 )
              & ( 10 = a(X248) )
              & ( 7 = a(X249) )
              & ( X248 != X250 )
              & ( 2 = b(X250) )
              & ( X249 != X250 )
              & $less(b(X248),3) )
        & ( z4 != z5 )
        & ! [X252: $int,X253: $int,X251: $int] :
            ~ ( ( X251 != X253 )
              & $less(X251,X252)
              & ( X252 != X253 )
              & ( 7 = a(X253) )
              & ( 2 = a(X252) )
              & ( 2 = b(X251) )
              & ( X251 != X252 )
              & ( 5 = b(X252) )
              & $less(b(X253),4)
              & ( 10 = a(X251) ) )
        & ! [X254: $int,X255: $int] :
            ~ ( ( 10 = a(X254) )
              & ( X254 != X255 )
              & ( 10 = a(X255) ) )
        & ! [X258: $int,X256: $int,X257: $int] :
            ~ ( ( 10 = a(X257) )
              & ( X256 != X258 )
              & ( 5 = b(X258) )
              & ( X256 != X257 )
              & $less(X257,X258)
              & ( X257 != X258 )
              & ( 2 = b(X257) )
              & ( 7 = a(X256) )
              & ( 5 = a(X258) ) )
        & ! [X260: $int,X261: $int,X259: $int] :
            ~ ( $less(X261,X259)
              & ( X260 != X261 )
              & ( X259 != X261 )
              & ( 10 = a(X261) )
              & ( X259 != X260 )
              & ( 5 = b(X259) )
              & ( 1 = a(X259) )
              & ( 2 = b(X261) )
              & ( 5 = a(X260) ) )
        & ! [X263: $int,X262: $int,X264: $int] :
            ~ ( ( 2 = b(X262) )
              & ( 10 = a(X262) )
              & ( 4 = a(X264) )
              & $less(X262,X264)
              & ( X262 != X264 )
              & ( X262 != X263 )
              & ( 4 = a(X263) )
              & ( 5 = b(X264) )
              & ( X263 != X264 ) )
        & ! [X265: $int,X266: $int,X267: $int] :
            ~ ( ( X266 != X267 )
              & $less(X266,X265)
              & ( 5 = b(X265) )
              & ( 2 = b(X266) )
              & ( 10 = a(X266) )
              & ( 4 = a(X267) )
              & ( 1 = a(X265) )
              & ( X265 != X266 )
              & ( X265 != X267 ) )
        & ( z3 != z5 )
        & ! [X268: $int,X270: $int,X269: $int] :
            ~ ( ( 5 = b(X269) )
              & ( 10 = a(X270) )
              & ( X269 != X270 )
              & ( X268 != X270 )
              & ( X268 != X269 )
              & $less(X270,X269)
              & ( 12 = a(X269) )
              & ( 4 = a(X268) )
              & ( 2 = b(X270) ) )
        & ! [X272: $int,X274: $int,X271: $int,X273: $int] :
            ~ ( ( 2 = b(X274) )
              & ( X272 != X273 )
              & ( 10 = a(X274) )
              & $less(b(X272),4)
              & ( X271 != X273 )
              & $less(X274,X271)
              & ( 5 = b(X273) )
              & ( 7 = a(X272) )
              & ( X271 != X272 )
              & ( 12 = a(X271) )
              & ( X273 != X274 )
              & ( X271 != X274 )
              & ( X272 != X274 ) )
        & ! [X275: $int,X277: $int,X278: $int,X276: $int] :
            ~ ( ( X275 != X276 )
              & $less(b(X277),3)
              & ( X275 != X278 )
              & ( X275 != X277 )
              & ( X276 != X277 )
              & ( X277 != X278 )
              & ( 2 = b(X276) )
              & ( X276 != X278 )
              & ( 4 = a(X278) )
              & ( 8 = a(X275) )
              & ( 10 = a(X277) )
              & $less(X277,X278) )
        & ( z2 != z4 )
        & ( z3 != z4 )
        & ! [X279: $int,X281: $int,X280: $int] :
            ~ ( ( 10 = a(X280) )
              & ( 2 = b(X280) )
              & ( 4 = a(X279) )
              & ( 8 = a(X281) )
              & ( X279 != X280 )
              & $less(X280,X279)
              & ( X280 != X281 )
              & ( X279 != X281 ) )
        & ( z2 != z5 )
        & ! [X283: $int,X282: $int,X284: $int] :
            ~ ( ( 5 = a(X283) )
              & ( 5 = b(X283) )
              & $less(X282,X283)
              & ( X282 != X284 )
              & ( X282 != X283 )
              & $less(b(X282),3)
              & ( 2 = b(X284) )
              & ( 7 = a(X284) )
              & ( X283 != X284 )
              & ( 10 = a(X282) ) )
        & ! [X285: $int,X286: $int,X287: $int] :
            ~ ( ( X286 != X287 )
              & $less(b(X286),4)
              & $less(X287,X285)
              & ( X285 != X286 )
              & ( 10 = a(X287) )
              & ( 2 = b(X287) )
              & ( 12 = a(X285) )
              & ( X285 != X287 )
              & ( 8 = a(X286) ) ) )
     => ~ ( $less(z2,z1)
          & ( 5 = b(z3) )
          & ( 5 = a(z1) )
          & $less(b(z2),3)
          & ( 10 = a(z2) )
          & ( 5 = b(z4) )
          & ( 7 = a(z3) )
          & ( 1 = a(z4) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,plain,
    ~ ( ( ! [X0: $int] :
            ( ~ $less(5,b(X0))
            & ~ $less(b(X0),1) )
        & ! [X2: $int,X0: $int,X1: $int,X3: $int] :
            ~ ( ( a(X0) = 7 )
              & ( X0 != X2 )
              & ( X1 != X3 )
              & ( X1 != X2 )
              & ( 5 = a(X2) )
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( 2 = a(X3) )
              & $less(b(X1),3)
              & ( X0 != X3 )
              & ( X2 != X3 )
              & $less(X1,X0)
              & ( X0 != X1 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( b(X1) = 2 )
              & $less(X1,X0)
              & ( a(X0) = 5 )
              & ( a(X2) = 4 )
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( X0 != X2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( 8 = a(X2) )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( a(X0) = 6 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 5 = a(X2) )
              & ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( b(X1) = 2 )
              & ( a(X0) = 5 )
              & $less(X1,X0) )
        & ! [X0: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 8 )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & $less(b(X1),3) )
        & ! [X0: $int] :
            ( ~ $less(a(X0),1)
            & ~ $less(12,a(X0)) )
        & ! [X2: $int,X0: $int,X3: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( 5 = b(X2) )
              & ( X1 != X2 )
              & $less(X1,X0)
              & ( 2 = b(X3) )
              & ( X0 != X2 )
              & ( X2 != X3 )
              & ( X0 != X3 )
              & ( a(X0) = 4 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 8 = a(X2) )
              & ( a(X0) = 5 )
              & $less(X1,X0)
              & $less(b(X1),3)
              & ( b(X2) = 2 )
              & ( X0 != X2 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( 6 = a(X2) )
              & ( a(X0) = 12 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( b(X1) = 2 )
              & ( b(X0) = 5 )
              & ( X1 != X2 )
              & ( X0 != X2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( a(X0) = 2 )
              & ( X1 != X2 )
              & ( b(X0) = 5 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( 7 = a(X2) )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 )
              & $less(b(X1),3) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( X1 != X2 )
              & ( a(X0) = 12 )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( X0 != X2 )
              & ( 7 = a(X2) )
              & ( b(X0) = 5 )
              & ( b(X2) = 2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( a(X2) = 4 )
              & ( b(X0) = 5 )
              & ( a(X0) = 7 )
              & ( b(X1) = 2 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & $less(X1,X0) )
        & ! [X3: $int,X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & ( 2 = a(X3) )
              & ( X1 != X3 )
              & ( X0 != X3 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( X2 != X3 )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( a(X0) = 5 )
              & ( 5 = b(X2) )
              & $less(X1,X0) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( a(X0) = 6 )
              & ( X1 != X2 )
              & ( b(X0) = 5 )
              & ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & $less(X1,X0) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 6 = a(X2) )
              & ( 10 = a(X1) )
              & ( a(X0) = 5 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( b(X2) = 2 )
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( b(X0) = 5 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( b(X0) = 5 )
              & ( X0 != X1 )
              & ( a(X2) = 4 )
              & ( a(X0) = 2 )
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( 10 = a(X1) ) )
        & ! [X3: $int,X0: $int,X1: $int,X2: $int] :
            ~ ( ( 1 = a(X3) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & $less(X1,X0)
              & ( X0 != X2 )
              & ( X2 != X3 )
              & ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( X0 != X3 )
              & ( 5 = b(X2) )
              & ( a(X0) = 5 )
              & ( X1 != X2 ) )
        & ! [X3: $int,X1: $int,X0: $int,X2: $int] :
            ~ ( ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X2 != X3 )
              & $less(b(X1),3)
              & ( a(X0) = 2 )
              & ( X1 != X3 )
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( 6 = a(X2) )
              & ( b(X0) = 5 )
              & ( X0 != X1 )
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & ( 1 = a(X0) )
              & $less(X1,X0) )
        & ! [X0: $int,X1: $int] :
            ~ ( $less(X1,X0)
              & $less(b(X1),3)
              & ( X0 != X1 )
              & ( a(X0) = 9 )
              & ( 10 = a(X1) ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( 8 = a(X2) )
              & ( X1 != X2 )
              & ( b(X1) = 2 )
              & ( a(X0) = 5 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) ) )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( X0 != X2 )
              & ( a(X0) = 6 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 5 = b(X2) ) )
        & ! [X2: $int,X0: $int,X3: $int,X1: $int] :
            ~ ( ( X1 != X3 )
              & ( a(X0) = 4 )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( 2 = a(X3) )
              & ( 5 = b(X2) )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( X0 != X3 )
              & ( X2 != X3 )
              & $less(X1,X0) )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( b(X2) = 2 )
              & $less(X1,X0)
              & ( 1 = a(X0) )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( X0 != X2 ) )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & ( a(X0) = 2 )
              & ( 6 = a(X2) ) )
        & ! [X0: $int,X2: $int,X3: $int,X1: $int] :
            ~ ( ( X0 != X3 )
              & ( X2 != X3 )
              & ( 2 = b(X3) )
              & ( 10 = a(X1) )
              & ( 5 = b(X2) )
              & ( X1 != X3 )
              & $less(b(X1),3)
              & ( a(X0) = 5 )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X2 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & ( a(X0) = 5 )
              & ( b(X0) = 5 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( 6 = a(X2) )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( b(X1) = 2 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( a(X0) = 4 )
              & ( 6 = a(X2) )
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( b(X1) = 2 )
              & ( X0 != X2 )
              & ( X1 != X2 ) )
        & ! [X0: $int,X3: $int,X2: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( X2 != X3 )
              & ( a(X0) = 5 )
              & ( X0 != X2 )
              & ( X1 != X3 )
              & ( 2 = b(X3) )
              & $less(b(X1),3)
              & ( b(X0) = 5 )
              & ( X0 != X3 )
              & $less(X1,X0) )
        & ( z2 != z3 )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 7 = a(X2) )
              & ( b(X1) = 2 )
              & $less(b(X2),4)
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( a(X0) = 12 )
              & $less(X1,X0)
              & ( X0 != X1 ) )
        & ! [X0: $int,X3: $int,X1: $int,X2: $int] :
            ~ ( ( X2 != X3 )
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( 2 = a(X3) )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( a(X0) = 5 )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( X0 != X2 )
              & ( 10 = a(X1) ) )
        & ! [X3: $int,X1: $int,X0: $int,X2: $int] :
            ~ ( $less(b(X1),3)
              & ( b(X2) = 2 )
              & ( 2 = b(X3) )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( X2 != X3 )
              & ( X0 != X1 )
              & ( 5 = a(X2) )
              & ( X1 != X2 )
              & ( a(X0) = 5 )
              & ( X0 != X3 )
              & ( X1 != X3 )
              & $less(X1,X0)
              & ( X0 != X2 ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( 8 = a(X2) )
              & ( 1 = a(X0) )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X2),4)
              & ( b(X1) = 2 )
              & ( X1 != X2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( 6 = a(X2) )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( a(X0) = 6 )
              & ( b(X0) = 5 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X1),3) )
        & ! [X1: $int,X3: $int,X2: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( 10 = a(X1) )
              & ( 7 = a(X2) )
              & ( X1 != X2 )
              & ( b(X2) = 2 )
              & $less(b(X1),3)
              & ( X0 != X1 )
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( X0 != X2 )
              & ( X2 != X3 )
              & ( a(X0) = 12 )
              & ( X1 != X3 ) )
        & $true
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( $less(X1,X0)
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & $less(b(X1),3)
              & ( X0 != X1 )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( 6 = a(X2) )
              & ( a(X0) = 7 ) )
        & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
            ~ ( ( X1 != X2 )
              & ( a(X0) = 2 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( X2 != X3 )
              & ( 7 = a(X2) )
              & $less(X1,X0)
              & ( X1 != X3 )
              & ( b(X1) = 2 )
              & $less(b(X2),4)
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( 10 = a(X1) ) )
        & ! [X0: $int,X2: $int,X3: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( 1 = a(X3) )
              & ( a(X0) = 5 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( 8 = a(X2) )
              & ( X2 != X3 )
              & ( X0 != X3 ) )
        & ! [X2: $int,X0: $int,X1: $int,X3: $int] :
            ~ ( ( X2 != X3 )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( 7 = a(X2) )
              & ( 5 = b(X3) )
              & ( X1 != X3 )
              & $less(X1,X0)
              & ( 1 = a(X0) )
              & $less(b(X1),3)
              & ( X1 != X2 )
              & ( X0 != X3 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( a(X0) = 7 )
              & $less(X1,X0)
              & ( X0 != X2 )
              & $less(b(X1),3)
              & ( 5 = b(X2) )
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( 10 = a(X1) ) )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( b(X0) = 5 )
              & ( 5 = a(X2) )
              & ( X1 != X2 )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( a(X0) = 7 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( X0 != X2 ) )
        & ! [X1: $int,X2: $int,X0: $int,X3: $int] :
            ~ ( ( X1 != X2 )
              & ( X0 != X3 )
              & ( X2 != X3 )
              & ( X1 != X3 )
              & $less(b(X1),3)
              & ( X0 != X2 )
              & ( a(X0) = 7 )
              & ( a(X2) = 4 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( 2 = b(X3) )
              & ( X0 != X1 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( a(X0) = 6 )
              & ( b(X1) = 2 )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( 5 = a(X2) ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & ( 8 = a(X2) )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( a(X0) = 7 )
              & ( X1 != X2 )
              & ( X0 != X1 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 12 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( 5 = a(X2) )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( X0 != X2 ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( 10 = a(X1) )
              & ( a(X0) = 2 )
              & ( b(X1) = 2 )
              & ( 8 = a(X2) )
              & $less(b(X2),4)
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & $less(X1,X0) )
        & ! [X0: $int,X2: $int,X1: $int,X3: $int] :
            ~ ( ( X2 != X3 )
              & ( 7 = a(X2) )
              & ( X0 != X2 )
              & ( a(X0) = 3 )
              & $less(b(X2),4)
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( X1 != X3 )
              & $less(b(X0),4)
              & ( X0 != X3 )
              & ( b(X1) = 2 )
              & ( 5 = b(X3) ) )
        & ( z1 != z5 )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & $less(b(X1),3)
              & ( a(X0) = 4 )
              & ( X1 != X2 )
              & $less(X1,X0)
              & ( b(X2) = 2 )
              & ( X0 != X2 )
              & ( 7 = a(X2) ) )
        & ! [X3: $int,X0: $int,X2: $int,X1: $int] :
            ~ ( ( X2 != X3 )
              & ( 2 = b(X3) )
              & ( X0 != X1 )
              & ( X0 != X3 )
              & $less(b(X1),3)
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( b(X0) = 5 )
              & ( X1 != X3 )
              & ( 6 = a(X2) )
              & ( a(X0) = 5 )
              & $less(X1,X0)
              & ( 10 = a(X1) ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( a(X0) = 3 )
              & ( X0 != X1 )
              & ( b(X1) = 2 )
              & $less(b(X2),4)
              & ( X1 != X2 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & $less(b(X0),4)
              & ( 8 = a(X2) ) )
        & ! [X3: $int,X1: $int,X2: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( X0 != X3 )
              & ( a(X0) = 5 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( X1 != X3 )
              & ( 7 = a(X2) )
              & $less(b(X1),3)
              & ( 2 = a(X3) )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( X2 != X3 ) )
        & ( z1 != z3 )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( 10 = a(X1) )
              & ( a(X0) = 7 )
              & ( 7 = a(X2) )
              & ( X0 != X2 )
              & ( b(X0) = 5 )
              & $less(X1,X0)
              & $less(b(X1),3)
              & ( X1 != X2 )
              & ( X0 != X1 ) )
        & ! [X1: $int,X2: $int,X3: $int,X0: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( a(X0) = 4 )
              & ( X0 != X1 )
              & $less(b(X1),3)
              & ( 5 = b(X2) )
              & ( X0 != X3 )
              & $less(X1,X0)
              & ( X2 != X3 )
              & ( X1 != X2 )
              & ( X1 != X3 )
              & ( 1 = a(X3) ) )
        & ( z1 != z2 )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & ( b(X2) = 2 )
              & ( 10 = a(X1) )
              & $less(b(X0),4)
              & ( X0 != X1 )
              & $less(b(X1),3)
              & ( X1 != X2 )
              & ( 8 = a(X2) )
              & $less(X1,X0)
              & ( a(X0) = 3 ) )
        & ( z1 != z4 )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( a(X0) = 6 )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( a(X2) = 4 ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( a(X0) = 4 )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 5 = b(X2) ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( X0 != X2 )
              & ( b(X2) = 2 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( 8 = a(X2) )
              & ( X1 != X2 )
              & ( 1 = a(X0) )
              & $less(X1,X0) )
        & ! [X1: $int,X2: $int,X3: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & $less(b(X1),3)
              & ( X0 != X3 )
              & ( 5 = b(X3) )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( a(X0) = 4 )
              & ( X2 != X3 )
              & ( X1 != X3 )
              & ( 7 = a(X2) )
              & $less(X1,X0) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( b(X2) = 2 )
              & ( a(X0) = 4 )
              & ( X0 != X2 )
              & $less(b(X1),3)
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( 8 = a(X2) )
              & ( 10 = a(X1) ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( a(X0) = 2 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( 8 = a(X2) )
              & ( b(X2) = 2 ) )
        & ! [X0: $int,X3: $int,X1: $int,X2: $int] :
            ~ ( ( X1 != X2 )
              & ( 2 = b(X3) )
              & ( X0 != X3 )
              & ( X2 != X3 )
              & ( 8 = a(X2) )
              & ( X0 != X1 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & $less(b(X0),4)
              & $less(b(X2),4)
              & ( X1 != X3 )
              & ( a(X0) = 3 )
              & $less(X1,X0) )
        & ! [X3: $int,X0: $int,X1: $int,X2: $int] :
            ~ ( ( X2 != X3 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & $less(b(X1),3)
              & ( b(X2) = 2 )
              & $less(b(X0),4)
              & $less(X1,X0)
              & ( 5 = b(X3) )
              & ( 7 = a(X2) )
              & ( X1 != X3 )
              & ( X1 != X2 )
              & ( X0 != X3 )
              & ( a(X0) = 3 )
              & ( X0 != X1 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & ( 8 = a(X2) )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( a(X0) = 12 )
              & ( X1 != X2 )
              & ( X0 != X1 ) )
        & ! [X0: $int,X3: $int,X1: $int,X2: $int] :
            ~ ( ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X1 != X3 )
              & ( b(X1) = 2 )
              & ( 5 = b(X3) )
              & ( X0 != X1 )
              & ( X2 != X3 )
              & ( X0 != X2 )
              & ( 1 = a(X0) )
              & ( 7 = a(X2) )
              & ( X1 != X2 )
              & ( X0 != X3 )
              & $less(b(X2),4) )
        & ! [X1: $int,X3: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & ( X1 != X2 )
              & ( a(X0) = 5 )
              & $less(b(X1),3)
              & ( 2 = b(X3) )
              & ( 8 = a(X2) )
              & ( X0 != X1 )
              & ( X0 != X3 )
              & ( 10 = a(X1) )
              & ( X2 != X3 )
              & ( X1 != X3 )
              & $less(X1,X0) )
        & ! [X1: $int,X0: $int,X2: $int,X3: $int] :
            ~ ( ( X0 != X3 )
              & ( a(X0) = 4 )
              & ( 2 = a(X3) )
              & ( 10 = a(X1) )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( 8 = a(X2) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( X2 != X3 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & $less(b(X2),4)
              & ( 7 = a(X2) )
              & ( b(X0) = 5 )
              & ( 1 = a(X0) )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( b(X1) = 2 )
              & $less(X1,X0) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( b(X0) = 5 )
              & ( a(X0) = 4 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( 5 = a(X2) )
              & ( X0 != X2 )
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & $less(X1,X0) )
        & ! [X1: $int,X3: $int,X2: $int,X0: $int] :
            ~ ( ( X1 != X2 )
              & $less(b(X1),3)
              & ( X2 != X3 )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & ( 5 = a(X2) )
              & ( X1 != X3 )
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( a(X0) = 6 )
              & $less(X1,X0)
              & ( X0 != X3 )
              & ( 2 = b(X3) ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( X1 != X2 )
              & $less(X1,X0)
              & ( a(X0) = 2 )
              & ( 5 = a(X2) )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( b(X1) = 2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( a(X0) = 4 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( b(X0) = 5 )
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( b(X1) = 2 ) )
        & ! [X0: $int,X3: $int,X2: $int,X1: $int] :
            ~ ( ( 2 = a(X3) )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( 8 = a(X2) )
              & $less(X1,X0)
              & ( a(X0) = 5 )
              & ( X0 != X3 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( X2 != X3 ) )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & ( 5 = b(X2) )
              & ( b(X1) = 2 )
              & ( a(X0) = 5 )
              & $less(X1,X0) )
        & ! [X3: $int,X1: $int,X0: $int,X2: $int] :
            ~ ( ( a(X0) = 4 )
              & ( X1 != X3 )
              & ( X2 != X3 )
              & ( b(X0) = 5 )
              & ( X0 != X3 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 2 = b(X3) )
              & $less(b(X1),3)
              & ( X0 != X2 ) )
        & ! [X2: $int,X1: $int,X0: $int,X3: $int] :
            ~ ( ( X2 != X3 )
              & ( 2 = b(X3) )
              & ( a(X0) = 7 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( 5 = a(X2) )
              & $less(X1,X0)
              & ( X0 != X3 )
              & $less(b(X1),3)
              & ( X0 != X2 )
              & ( X1 != X3 )
              & ( b(X0) = 5 ) )
        & ( z4 != z5 )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( X0 != X1 )
              & $less(b(X2),4)
              & ( a(X0) = 2 )
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X0 != X2 )
              & ( b(X0) = 5 ) )
        & ! [X1: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 10 )
              & ( 10 = a(X1) ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( a(X0) = 5 )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( X0 != X2 )
              & ( 7 = a(X2) )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( b(X1) = 2 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( 5 = a(X2) )
              & ( 1 = a(X0) )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( b(X1) = 2 )
              & ( b(X0) = 5 )
              & ( X0 != X2 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X1 != X2 )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( a(X2) = 4 )
              & ( a(X0) = 4 )
              & ( X0 != X2 ) )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( X1 != X2 )
              & ( a(X2) = 4 )
              & ( 1 = a(X0) )
              & ( b(X1) = 2 )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X0 != X1 ) )
        & ( z3 != z5 )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( a(X2) = 4 )
              & ( X1 != X2 )
              & ( b(X1) = 2 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( a(X0) = 12 ) )
        & ! [X0: $int,X2: $int,X3: $int,X1: $int] :
            ~ ( ( X1 != X3 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( X2 != X3 )
              & ( a(X0) = 12 )
              & ( X0 != X1 )
              & ( b(X1) = 2 )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & $less(b(X2),4)
              & ( 7 = a(X2) ) )
        & ! [X2: $int,X3: $int,X1: $int,X0: $int] :
            ~ ( ( a(X0) = 4 )
              & ( X0 != X1 )
              & ( X1 != X3 )
              & ( X2 != X3 )
              & ( X0 != X3 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( 8 = a(X2) )
              & ( X0 != X2 )
              & ( 2 = b(X3) )
              & ( X1 != X2 ) )
        & ( z2 != z4 )
        & ( z3 != z4 )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( a(X0) = 4 )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( b(X1) = 2 )
              & ( 8 = a(X2) ) )
        & ( z2 != z5 )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( a(X0) = 5 )
              & ( b(X2) = 2 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( X0 != X2 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & $less(b(X2),4)
              & ( 8 = a(X2) )
              & ( 10 = a(X1) )
              & ( a(X0) = 12 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( b(X1) = 2 )
              & ( X1 != X2 ) ) )
     => ~ ( $less(z2,z1)
          & ( 5 = b(z3) )
          & ( 5 = a(z1) )
          & $less(b(z2),3)
          & ( 10 = a(z2) )
          & ( 5 = b(z4) )
          & ( 7 = a(z3) )
          & ( 1 = a(z4) ) ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( ! [X0: $int] :
            ( $lesseq(1,b(X0))
            & $lesseq(b(X0),5) )
        & ! [X2: $int,X0: $int,X1: $int,X3: $int] :
            ~ ( ( a(X0) = 7 )
              & ( X0 != X2 )
              & ( X1 != X3 )
              & ( X1 != X2 )
              & ( 5 = a(X2) )
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( 2 = a(X3) )
              & $less(b(X1),3)
              & ( X0 != X3 )
              & ( X2 != X3 )
              & $less(X1,X0)
              & ( X0 != X1 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( b(X1) = 2 )
              & $less(X1,X0)
              & ( a(X0) = 5 )
              & ( a(X2) = 4 )
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( X0 != X2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( 8 = a(X2) )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( a(X0) = 6 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 5 = a(X2) )
              & ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( b(X1) = 2 )
              & ( a(X0) = 5 )
              & $less(X1,X0) )
        & ! [X0: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 8 )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & $less(b(X1),3) )
        & ! [X0: $int] :
            ( $lesseq(1,a(X0))
            & $lesseq(a(X0),12) )
        & ! [X2: $int,X0: $int,X3: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( 5 = b(X2) )
              & ( X1 != X2 )
              & $less(X1,X0)
              & ( 2 = b(X3) )
              & ( X0 != X2 )
              & ( X2 != X3 )
              & ( X0 != X3 )
              & ( a(X0) = 4 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 8 = a(X2) )
              & ( a(X0) = 5 )
              & $less(X1,X0)
              & $less(b(X1),3)
              & ( b(X2) = 2 )
              & ( X0 != X2 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( 6 = a(X2) )
              & ( a(X0) = 12 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( b(X1) = 2 )
              & ( b(X0) = 5 )
              & ( X1 != X2 )
              & ( X0 != X2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( a(X0) = 2 )
              & ( X1 != X2 )
              & ( b(X0) = 5 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( 7 = a(X2) )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 )
              & $less(b(X1),3) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( X1 != X2 )
              & ( a(X0) = 12 )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( X0 != X2 )
              & ( 7 = a(X2) )
              & ( b(X0) = 5 )
              & ( b(X2) = 2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( a(X2) = 4 )
              & ( b(X0) = 5 )
              & ( a(X0) = 7 )
              & ( b(X1) = 2 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & $less(X1,X0) )
        & ! [X3: $int,X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & ( 2 = a(X3) )
              & ( X1 != X3 )
              & ( X0 != X3 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( X2 != X3 )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( a(X0) = 5 )
              & ( 5 = b(X2) )
              & $less(X1,X0) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( a(X0) = 6 )
              & ( X1 != X2 )
              & ( b(X0) = 5 )
              & ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & $less(X1,X0) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 6 = a(X2) )
              & ( 10 = a(X1) )
              & ( a(X0) = 5 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( b(X2) = 2 )
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( b(X0) = 5 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( b(X0) = 5 )
              & ( X0 != X1 )
              & ( a(X2) = 4 )
              & ( a(X0) = 2 )
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( 10 = a(X1) ) )
        & ! [X3: $int,X0: $int,X1: $int,X2: $int] :
            ~ ( ( 1 = a(X3) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & $less(X1,X0)
              & ( X0 != X2 )
              & ( X2 != X3 )
              & ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( X0 != X3 )
              & ( 5 = b(X2) )
              & ( a(X0) = 5 )
              & ( X1 != X2 ) )
        & ! [X3: $int,X1: $int,X0: $int,X2: $int] :
            ~ ( ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X2 != X3 )
              & $less(b(X1),3)
              & ( a(X0) = 2 )
              & ( X1 != X3 )
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( 6 = a(X2) )
              & ( b(X0) = 5 )
              & ( X0 != X1 )
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & ( 1 = a(X0) )
              & $less(X1,X0) )
        & ! [X0: $int,X1: $int] :
            ~ ( $less(X1,X0)
              & $less(b(X1),3)
              & ( X0 != X1 )
              & ( a(X0) = 9 )
              & ( 10 = a(X1) ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( 8 = a(X2) )
              & ( X1 != X2 )
              & ( b(X1) = 2 )
              & ( a(X0) = 5 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) ) )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( X0 != X2 )
              & ( a(X0) = 6 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 5 = b(X2) ) )
        & ! [X2: $int,X0: $int,X3: $int,X1: $int] :
            ~ ( ( X1 != X3 )
              & ( a(X0) = 4 )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( 2 = a(X3) )
              & ( 5 = b(X2) )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( X0 != X3 )
              & ( X2 != X3 )
              & $less(X1,X0) )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( b(X2) = 2 )
              & $less(X1,X0)
              & ( 1 = a(X0) )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( X0 != X2 ) )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & ( a(X0) = 2 )
              & ( 6 = a(X2) ) )
        & ! [X0: $int,X2: $int,X3: $int,X1: $int] :
            ~ ( ( X0 != X3 )
              & ( X2 != X3 )
              & ( 2 = b(X3) )
              & ( 10 = a(X1) )
              & ( 5 = b(X2) )
              & ( X1 != X3 )
              & $less(b(X1),3)
              & ( a(X0) = 5 )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X2 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & ( a(X0) = 5 )
              & ( b(X0) = 5 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( 6 = a(X2) )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( b(X1) = 2 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( a(X0) = 4 )
              & ( 6 = a(X2) )
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( b(X1) = 2 )
              & ( X0 != X2 )
              & ( X1 != X2 ) )
        & ! [X0: $int,X3: $int,X2: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( X2 != X3 )
              & ( a(X0) = 5 )
              & ( X0 != X2 )
              & ( X1 != X3 )
              & ( 2 = b(X3) )
              & $less(b(X1),3)
              & ( b(X0) = 5 )
              & ( X0 != X3 )
              & $less(X1,X0) )
        & ( z2 != z3 )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 7 = a(X2) )
              & ( b(X1) = 2 )
              & $less(b(X2),4)
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( a(X0) = 12 )
              & $less(X1,X0)
              & ( X0 != X1 ) )
        & ! [X0: $int,X3: $int,X1: $int,X2: $int] :
            ~ ( ( X2 != X3 )
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( 2 = a(X3) )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( a(X0) = 5 )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( X0 != X2 )
              & ( 10 = a(X1) ) )
        & ! [X3: $int,X1: $int,X0: $int,X2: $int] :
            ~ ( $less(b(X1),3)
              & ( b(X2) = 2 )
              & ( 2 = b(X3) )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( X2 != X3 )
              & ( X0 != X1 )
              & ( 5 = a(X2) )
              & ( X1 != X2 )
              & ( a(X0) = 5 )
              & ( X0 != X3 )
              & ( X1 != X3 )
              & $less(X1,X0)
              & ( X0 != X2 ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( 8 = a(X2) )
              & ( 1 = a(X0) )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X2),4)
              & ( b(X1) = 2 )
              & ( X1 != X2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( 6 = a(X2) )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( a(X0) = 6 )
              & ( b(X0) = 5 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X1),3) )
        & ! [X1: $int,X3: $int,X2: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( 10 = a(X1) )
              & ( 7 = a(X2) )
              & ( X1 != X2 )
              & ( b(X2) = 2 )
              & $less(b(X1),3)
              & ( X0 != X1 )
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( X0 != X2 )
              & ( X2 != X3 )
              & ( a(X0) = 12 )
              & ( X1 != X3 ) )
        & $true
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( $less(X1,X0)
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & $less(b(X1),3)
              & ( X0 != X1 )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( 6 = a(X2) )
              & ( a(X0) = 7 ) )
        & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
            ~ ( ( X1 != X2 )
              & ( a(X0) = 2 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( X2 != X3 )
              & ( 7 = a(X2) )
              & $less(X1,X0)
              & ( X1 != X3 )
              & ( b(X1) = 2 )
              & $less(b(X2),4)
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( 10 = a(X1) ) )
        & ! [X0: $int,X2: $int,X3: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( 1 = a(X3) )
              & ( a(X0) = 5 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( 8 = a(X2) )
              & ( X2 != X3 )
              & ( X0 != X3 ) )
        & ! [X2: $int,X0: $int,X1: $int,X3: $int] :
            ~ ( ( X2 != X3 )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( 7 = a(X2) )
              & ( 5 = b(X3) )
              & ( X1 != X3 )
              & $less(X1,X0)
              & ( 1 = a(X0) )
              & $less(b(X1),3)
              & ( X1 != X2 )
              & ( X0 != X3 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( a(X0) = 7 )
              & $less(X1,X0)
              & ( X0 != X2 )
              & $less(b(X1),3)
              & ( 5 = b(X2) )
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( 10 = a(X1) ) )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( b(X0) = 5 )
              & ( 5 = a(X2) )
              & ( X1 != X2 )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( a(X0) = 7 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( X0 != X2 ) )
        & ! [X1: $int,X2: $int,X0: $int,X3: $int] :
            ~ ( ( X1 != X2 )
              & ( X0 != X3 )
              & ( X2 != X3 )
              & ( X1 != X3 )
              & $less(b(X1),3)
              & ( X0 != X2 )
              & ( a(X0) = 7 )
              & ( a(X2) = 4 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( 2 = b(X3) )
              & ( X0 != X1 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( a(X0) = 6 )
              & ( b(X1) = 2 )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( 5 = a(X2) ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & ( 8 = a(X2) )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( a(X0) = 7 )
              & ( X1 != X2 )
              & ( X0 != X1 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 12 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( 5 = a(X2) )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( X0 != X2 ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( 10 = a(X1) )
              & ( a(X0) = 2 )
              & ( b(X1) = 2 )
              & ( 8 = a(X2) )
              & $less(b(X2),4)
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & $less(X1,X0) )
        & ! [X0: $int,X2: $int,X1: $int,X3: $int] :
            ~ ( ( X2 != X3 )
              & ( 7 = a(X2) )
              & ( X0 != X2 )
              & ( a(X0) = 3 )
              & $less(b(X2),4)
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( X1 != X3 )
              & $less(b(X0),4)
              & ( X0 != X3 )
              & ( b(X1) = 2 )
              & ( 5 = b(X3) ) )
        & ( z1 != z5 )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & $less(b(X1),3)
              & ( a(X0) = 4 )
              & ( X1 != X2 )
              & $less(X1,X0)
              & ( b(X2) = 2 )
              & ( X0 != X2 )
              & ( 7 = a(X2) ) )
        & ! [X3: $int,X0: $int,X2: $int,X1: $int] :
            ~ ( ( X2 != X3 )
              & ( 2 = b(X3) )
              & ( X0 != X1 )
              & ( X0 != X3 )
              & $less(b(X1),3)
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( b(X0) = 5 )
              & ( X1 != X3 )
              & ( 6 = a(X2) )
              & ( a(X0) = 5 )
              & $less(X1,X0)
              & ( 10 = a(X1) ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( a(X0) = 3 )
              & ( X0 != X1 )
              & ( b(X1) = 2 )
              & $less(b(X2),4)
              & ( X1 != X2 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & $less(b(X0),4)
              & ( 8 = a(X2) ) )
        & ! [X3: $int,X1: $int,X2: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( X0 != X3 )
              & ( a(X0) = 5 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( X1 != X3 )
              & ( 7 = a(X2) )
              & $less(b(X1),3)
              & ( 2 = a(X3) )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( X2 != X3 ) )
        & ( z1 != z3 )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( 10 = a(X1) )
              & ( a(X0) = 7 )
              & ( 7 = a(X2) )
              & ( X0 != X2 )
              & ( b(X0) = 5 )
              & $less(X1,X0)
              & $less(b(X1),3)
              & ( X1 != X2 )
              & ( X0 != X1 ) )
        & ! [X1: $int,X2: $int,X3: $int,X0: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( a(X0) = 4 )
              & ( X0 != X1 )
              & $less(b(X1),3)
              & ( 5 = b(X2) )
              & ( X0 != X3 )
              & $less(X1,X0)
              & ( X2 != X3 )
              & ( X1 != X2 )
              & ( X1 != X3 )
              & ( 1 = a(X3) ) )
        & ( z1 != z2 )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & ( b(X2) = 2 )
              & ( 10 = a(X1) )
              & $less(b(X0),4)
              & ( X0 != X1 )
              & $less(b(X1),3)
              & ( X1 != X2 )
              & ( 8 = a(X2) )
              & $less(X1,X0)
              & ( a(X0) = 3 ) )
        & ( z1 != z4 )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( a(X0) = 6 )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( a(X2) = 4 ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( a(X0) = 4 )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( 5 = b(X2) ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( X0 != X2 )
              & ( b(X2) = 2 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( 8 = a(X2) )
              & ( X1 != X2 )
              & ( 1 = a(X0) )
              & $less(X1,X0) )
        & ! [X1: $int,X2: $int,X3: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & $less(b(X1),3)
              & ( X0 != X3 )
              & ( 5 = b(X3) )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & ( a(X0) = 4 )
              & ( X2 != X3 )
              & ( X1 != X3 )
              & ( 7 = a(X2) )
              & $less(X1,X0) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( $less(X1,X0)
              & ( b(X2) = 2 )
              & ( a(X0) = 4 )
              & ( X0 != X2 )
              & $less(b(X1),3)
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( 8 = a(X2) )
              & ( 10 = a(X1) ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( a(X0) = 2 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( 8 = a(X2) )
              & ( b(X2) = 2 ) )
        & ! [X0: $int,X3: $int,X1: $int,X2: $int] :
            ~ ( ( X1 != X2 )
              & ( 2 = b(X3) )
              & ( X0 != X3 )
              & ( X2 != X3 )
              & ( 8 = a(X2) )
              & ( X0 != X1 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & $less(b(X0),4)
              & $less(b(X2),4)
              & ( X1 != X3 )
              & ( a(X0) = 3 )
              & $less(X1,X0) )
        & ! [X3: $int,X0: $int,X1: $int,X2: $int] :
            ~ ( ( X2 != X3 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & $less(b(X1),3)
              & ( b(X2) = 2 )
              & $less(b(X0),4)
              & $less(X1,X0)
              & ( 5 = b(X3) )
              & ( 7 = a(X2) )
              & ( X1 != X3 )
              & ( X1 != X2 )
              & ( X0 != X3 )
              & ( a(X0) = 3 )
              & ( X0 != X1 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X0 != X2 )
              & ( 8 = a(X2) )
              & ( 10 = a(X1) )
              & ( b(X2) = 2 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( a(X0) = 12 )
              & ( X1 != X2 )
              & ( X0 != X1 ) )
        & ! [X0: $int,X3: $int,X1: $int,X2: $int] :
            ~ ( ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X1 != X3 )
              & ( b(X1) = 2 )
              & ( 5 = b(X3) )
              & ( X0 != X1 )
              & ( X2 != X3 )
              & ( X0 != X2 )
              & ( 1 = a(X0) )
              & ( 7 = a(X2) )
              & ( X1 != X2 )
              & ( X0 != X3 )
              & $less(b(X2),4) )
        & ! [X1: $int,X3: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & ( X1 != X2 )
              & ( a(X0) = 5 )
              & $less(b(X1),3)
              & ( 2 = b(X3) )
              & ( 8 = a(X2) )
              & ( X0 != X1 )
              & ( X0 != X3 )
              & ( 10 = a(X1) )
              & ( X2 != X3 )
              & ( X1 != X3 )
              & $less(X1,X0) )
        & ! [X1: $int,X0: $int,X2: $int,X3: $int] :
            ~ ( ( X0 != X3 )
              & ( a(X0) = 4 )
              & ( 2 = a(X3) )
              & ( 10 = a(X1) )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X2 )
              & ( 8 = a(X2) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( X2 != X3 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & $less(b(X2),4)
              & ( 7 = a(X2) )
              & ( b(X0) = 5 )
              & ( 1 = a(X0) )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( b(X1) = 2 )
              & $less(X1,X0) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( b(X0) = 5 )
              & ( a(X0) = 4 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( 5 = a(X2) )
              & ( X0 != X2 )
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & $less(X1,X0) )
        & ! [X1: $int,X3: $int,X2: $int,X0: $int] :
            ~ ( ( X1 != X2 )
              & $less(b(X1),3)
              & ( X2 != X3 )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & ( 5 = a(X2) )
              & ( X1 != X3 )
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( a(X0) = 6 )
              & $less(X1,X0)
              & ( X0 != X3 )
              & ( 2 = b(X3) ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( X1 != X2 )
              & $less(X1,X0)
              & ( a(X0) = 2 )
              & ( 5 = a(X2) )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( b(X1) = 2 ) )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( a(X0) = 4 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( b(X0) = 5 )
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( b(X1) = 2 ) )
        & ! [X0: $int,X3: $int,X2: $int,X1: $int] :
            ~ ( ( 2 = a(X3) )
              & ( 10 = a(X1) )
              & $less(b(X1),3)
              & ( X1 != X3 )
              & ( 8 = a(X2) )
              & $less(X1,X0)
              & ( a(X0) = 5 )
              & ( X0 != X3 )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( X2 != X3 ) )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( X0 != X2 )
              & ( 5 = b(X2) )
              & ( b(X1) = 2 )
              & ( a(X0) = 5 )
              & $less(X1,X0) )
        & ! [X3: $int,X1: $int,X0: $int,X2: $int] :
            ~ ( ( a(X0) = 4 )
              & ( X1 != X3 )
              & ( X2 != X3 )
              & ( b(X0) = 5 )
              & ( X0 != X3 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( 2 = b(X3) )
              & $less(b(X1),3)
              & ( X0 != X2 ) )
        & ! [X2: $int,X1: $int,X0: $int,X3: $int] :
            ~ ( ( X2 != X3 )
              & ( 2 = b(X3) )
              & ( a(X0) = 7 )
              & ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( X1 != X2 )
              & ( 5 = a(X2) )
              & $less(X1,X0)
              & ( X0 != X3 )
              & $less(b(X1),3)
              & ( X0 != X2 )
              & ( X1 != X3 )
              & ( b(X0) = 5 ) )
        & ( z4 != z5 )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( X0 != X1 )
              & $less(b(X2),4)
              & ( a(X0) = 2 )
              & ( b(X1) = 2 )
              & ( X1 != X2 )
              & ( 7 = a(X2) )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X0 != X2 )
              & ( b(X0) = 5 ) )
        & ! [X1: $int,X0: $int] :
            ~ ( ( X0 != X1 )
              & ( a(X0) = 10 )
              & ( 10 = a(X1) ) )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( a(X0) = 5 )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( X0 != X2 )
              & ( 7 = a(X2) )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( b(X1) = 2 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( 10 = a(X1) )
              & ( 5 = a(X2) )
              & ( 1 = a(X0) )
              & $less(X1,X0)
              & ( X1 != X2 )
              & ( X0 != X1 )
              & ( b(X1) = 2 )
              & ( b(X0) = 5 )
              & ( X0 != X2 ) )
        & ! [X1: $int,X2: $int,X0: $int] :
            ~ ( ( X1 != X2 )
              & ( b(X1) = 2 )
              & $less(X1,X0)
              & ( X0 != X1 )
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( a(X2) = 4 )
              & ( a(X0) = 4 )
              & ( X0 != X2 ) )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( X0 != X2 )
              & ( b(X0) = 5 )
              & ( X1 != X2 )
              & ( a(X2) = 4 )
              & ( 1 = a(X0) )
              & ( b(X1) = 2 )
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( X0 != X1 ) )
        & ( z3 != z5 )
        & ! [X2: $int,X0: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & ( 10 = a(X1) )
              & ( b(X0) = 5 )
              & ( a(X2) = 4 )
              & ( X1 != X2 )
              & ( b(X1) = 2 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( a(X0) = 12 ) )
        & ! [X0: $int,X2: $int,X3: $int,X1: $int] :
            ~ ( ( X1 != X3 )
              & $less(X1,X0)
              & ( 10 = a(X1) )
              & ( 5 = b(X3) )
              & ( X0 != X3 )
              & ( X2 != X3 )
              & ( a(X0) = 12 )
              & ( X0 != X1 )
              & ( b(X1) = 2 )
              & ( X0 != X2 )
              & ( X1 != X2 )
              & $less(b(X2),4)
              & ( 7 = a(X2) ) )
        & ! [X2: $int,X3: $int,X1: $int,X0: $int] :
            ~ ( ( a(X0) = 4 )
              & ( X0 != X1 )
              & ( X1 != X3 )
              & ( X2 != X3 )
              & ( X0 != X3 )
              & $less(b(X1),3)
              & ( 10 = a(X1) )
              & $less(X1,X0)
              & ( 8 = a(X2) )
              & ( X0 != X2 )
              & ( 2 = b(X3) )
              & ( X1 != X2 ) )
        & ( z2 != z4 )
        & ( z3 != z4 )
        & ! [X0: $int,X1: $int,X2: $int] :
            ~ ( ( a(X0) = 4 )
              & ( X1 != X2 )
              & ( 10 = a(X1) )
              & ( X0 != X2 )
              & ( X0 != X1 )
              & $less(X1,X0)
              & ( b(X1) = 2 )
              & ( 8 = a(X2) ) )
        & ( z2 != z5 )
        & ! [X1: $int,X0: $int,X2: $int] :
            ~ ( ( a(X0) = 5 )
              & ( b(X2) = 2 )
              & $less(b(X1),3)
              & $less(X1,X0)
              & ( b(X0) = 5 )
              & ( 10 = a(X1) )
              & ( 7 = a(X2) )
              & ( X0 != X1 )
              & ( X1 != X2 )
              & ( X0 != X2 ) )
        & ! [X0: $int,X2: $int,X1: $int] :
            ~ ( ( X0 != X1 )
              & $less(b(X2),4)
              & ( 8 = a(X2) )
              & ( 10 = a(X1) )
              & ( a(X0) = 12 )
              & ( X0 != X2 )
              & $less(X1,X0)
              & ( b(X1) = 2 )
              & ( X1 != X2 ) ) )
     => ~ ( $less(z2,z1)
          & ( 5 = b(z3) )
          & ( 5 = a(z1) )
          & $less(b(z2),3)
          & ( 10 = a(z2) )
          & ( 5 = b(z4) )
          & ( 7 = a(z3) )
          & ( 1 = a(z4) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( ! [X0: $int] :
          ( $lesseq(1,b(X0))
          & $lesseq(b(X0),5) )
      & ! [X2: $int,X0: $int,X1: $int,X3: $int] :
          ~ ( ( a(X0) = 7 )
            & ( X0 != X2 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( b(X0) = 5 )
            & ( 2 = a(X3) )
            & $less(b(X1),3)
            & ( X0 != X3 )
            & ( X2 != X3 )
            & $less(X1,X0)
            & ( X0 != X1 ) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( b(X1) = 2 )
            & $less(X1,X0)
            & ( a(X0) = 5 )
            & ( a(X2) = 4 )
            & ( X1 != X2 )
            & ( X0 != X1 )
            & ( b(X0) = 5 )
            & ( 10 = a(X1) )
            & ( X0 != X2 ) )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( $less(X1,X0)
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & $less(b(X1),3)
            & ( a(X0) = 6 ) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( X0 != X1 )
            & ( b(X0) = 5 )
            & ( X0 != X2 )
            & ( X1 != X2 )
            & ( b(X1) = 2 )
            & ( a(X0) = 5 )
            & $less(X1,X0) )
      & ! [X0: $int,X1: $int] :
          ~ ( ( X0 != X1 )
            & ( a(X0) = 8 )
            & ( 10 = a(X1) )
            & $less(X1,X0)
            & $less(b(X1),3) )
      & ! [X0: $int] :
          ( $lesseq(1,a(X0))
          & $lesseq(a(X0),12) )
      & ! [X2: $int,X0: $int,X3: $int,X1: $int] :
          ~ ( ( X0 != X1 )
            & ( 10 = a(X1) )
            & $less(b(X1),3)
            & ( X1 != X3 )
            & ( 5 = b(X2) )
            & ( X1 != X2 )
            & $less(X1,X0)
            & ( 2 = b(X3) )
            & ( X0 != X2 )
            & ( X2 != X3 )
            & ( X0 != X3 )
            & ( a(X0) = 4 ) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( 10 = a(X1) )
            & ( X0 != X1 )
            & ( X1 != X2 )
            & ( 8 = a(X2) )
            & ( a(X0) = 5 )
            & $less(X1,X0)
            & $less(b(X1),3)
            & ( b(X2) = 2 )
            & ( X0 != X2 ) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( 6 = a(X2) )
            & ( a(X0) = 12 )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 ) )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( a(X0) = 2 )
            & ( X1 != X2 )
            & ( b(X0) = 5 )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & $less(X1,X0)
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( b(X2) = 2 )
            & $less(b(X1),3) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( X0 != X1 )
            & ( X1 != X2 )
            & ( a(X0) = 12 )
            & ( 10 = a(X1) )
            & $less(b(X1),3)
            & $less(X1,X0)
            & ( X0 != X2 )
            & ( 7 = a(X2) )
            & ( b(X0) = 5 )
            & ( b(X2) = 2 ) )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( X1 != X2 )
            & ( 10 = a(X1) )
            & ( a(X2) = 4 )
            & ( b(X0) = 5 )
            & ( a(X0) = 7 )
            & ( b(X1) = 2 )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & $less(X1,X0) )
      & ! [X3: $int,X0: $int,X2: $int,X1: $int] :
          ~ ( ( X0 != X2 )
            & ( 2 = a(X3) )
            & ( X1 != X3 )
            & ( X0 != X3 )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( X2 != X3 )
            & ( X0 != X1 )
            & ( X1 != X2 )
            & ( a(X0) = 5 )
            & ( 5 = b(X2) )
            & $less(X1,X0) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( a(X0) = 6 )
            & ( X1 != X2 )
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( X0 != X1 )
            & ( X0 != X2 )
            & $less(X1,X0) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & $less(b(X1),3)
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( b(X2) = 2 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( b(X0) = 5 ) )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( b(X0) = 5 )
            & ( X0 != X1 )
            & ( a(X2) = 4 )
            & ( a(X0) = 2 )
            & ( b(X1) = 2 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & $less(X1,X0)
            & ( 10 = a(X1) ) )
      & ! [X3: $int,X0: $int,X1: $int,X2: $int] :
          ~ ( ( 1 = a(X3) )
            & $less(b(X1),3)
            & ( X1 != X3 )
            & $less(X1,X0)
            & ( X0 != X2 )
            & ( X2 != X3 )
            & ( 10 = a(X1) )
            & ( X0 != X1 )
            & ( X0 != X3 )
            & ( 5 = b(X2) )
            & ( a(X0) = 5 )
            & ( X1 != X2 ) )
      & ! [X3: $int,X1: $int,X0: $int,X2: $int] :
          ~ ( ( 7 = a(X2) )
            & ( X0 != X1 )
            & ( X0 != X2 )
            & $less(X1,X0)
            & ( X1 != X2 )
            & ( X2 != X3 )
            & $less(b(X1),3)
            & ( a(X0) = 2 )
            & ( X1 != X3 )
            & ( 5 = b(X3) )
            & ( X0 != X3 )
            & ( 10 = a(X1) )
            & ( b(X2) = 2 ) )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( 10 = a(X1) )
            & ( X0 != X2 )
            & ( 6 = a(X2) )
            & ( b(X0) = 5 )
            & ( X0 != X1 )
            & ( b(X1) = 2 )
            & ( X1 != X2 )
            & ( 1 = a(X0) )
            & $less(X1,X0) )
      & ! [X0: $int,X1: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( X0 != X1 )
            & ( a(X0) = 9 )
            & ( 10 = a(X1) ) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( 8 = a(X2) )
            & ( X1 != X2 )
            & ( b(X1) = 2 )
            & ( a(X0) = 5 )
            & ( X0 != X2 )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( 10 = a(X1) ) )
      & ! [X1: $int,X0: $int,X2: $int] :
          ~ ( ( X0 != X2 )
            & ( a(X0) = 6 )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( X1 != X2 )
            & ( 5 = b(X2) ) )
      & ! [X2: $int,X0: $int,X3: $int,X1: $int] :
          ~ ( ( X1 != X3 )
            & ( a(X0) = 4 )
            & ( 10 = a(X1) )
            & $less(b(X1),3)
            & ( 2 = a(X3) )
            & ( 5 = b(X2) )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X2 != X3 )
            & $less(X1,X0) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( ( b(X2) = 2 )
            & $less(X1,X0)
            & ( 1 = a(X0) )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( b(X0) = 5 )
            & ( X0 != X1 )
            & ( X1 != X2 )
            & ( 7 = a(X2) )
            & ( X0 != X2 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( ( 10 = a(X1) )
            & ( X0 != X2 )
            & ( b(X0) = 5 )
            & ( X0 != X1 )
            & $less(X1,X0)
            & ( b(X1) = 2 )
            & ( X1 != X2 )
            & ( a(X0) = 2 )
            & ( 6 = a(X2) ) )
      & ! [X0: $int,X2: $int,X3: $int,X1: $int] :
          ~ ( ( X0 != X3 )
            & ( X2 != X3 )
            & ( 2 = b(X3) )
            & ( 10 = a(X1) )
            & ( 5 = b(X2) )
            & ( X1 != X3 )
            & $less(b(X1),3)
            & ( a(X0) = 5 )
            & ( X0 != X1 )
            & $less(X1,X0)
            & ( X1 != X2 )
            & ( X0 != X2 ) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( X0 != X2 )
            & ( a(X0) = 5 )
            & ( b(X0) = 5 )
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & ( 6 = a(X2) )
            & $less(X1,X0)
            & ( X1 != X2 )
            & ( b(X1) = 2 ) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( $less(X1,X0)
            & ( a(X0) = 4 )
            & ( 6 = a(X2) )
            & ( X0 != X1 )
            & ( b(X0) = 5 )
            & ( 10 = a(X1) )
            & ( b(X1) = 2 )
            & ( X0 != X2 )
            & ( X1 != X2 ) )
      & ! [X0: $int,X3: $int,X2: $int,X1: $int] :
          ~ ( ( 10 = a(X1) )
            & ( X0 != X1 )
            & ( X1 != X2 )
            & ( 7 = a(X2) )
            & ( X2 != X3 )
            & ( a(X0) = 5 )
            & ( X0 != X2 )
            & ( X1 != X3 )
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( X0 != X3 )
            & $less(X1,X0) )
      & ( z2 != z3 )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( 7 = a(X2) )
            & ( b(X1) = 2 )
            & $less(b(X2),4)
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( b(X0) = 5 )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & $less(X1,X0)
            & ( X0 != X1 ) )
      & ! [X0: $int,X3: $int,X1: $int,X2: $int] :
          ~ ( ( X2 != X3 )
            & ( 5 = b(X3) )
            & ( X0 != X3 )
            & ( 2 = a(X3) )
            & $less(X1,X0)
            & ( X1 != X2 )
            & ( 7 = a(X2) )
            & ( X0 != X1 )
            & ( a(X0) = 5 )
            & $less(b(X1),3)
            & ( X1 != X3 )
            & ( X0 != X2 )
            & ( 10 = a(X1) ) )
      & ! [X3: $int,X1: $int,X0: $int,X2: $int] :
          ~ ( $less(b(X1),3)
            & ( b(X2) = 2 )
            & ( 2 = b(X3) )
            & ( b(X0) = 5 )
            & ( 10 = a(X1) )
            & ( X2 != X3 )
            & ( X0 != X1 )
            & ( 5 = a(X2) )
            & ( X1 != X2 )
            & ( a(X0) = 5 )
            & ( X0 != X3 )
            & ( X1 != X3 )
            & $less(X1,X0)
            & ( X0 != X2 ) )
      & ! [X2: $int,X1: $int,X0: $int] :
          ~ ( $less(X1,X0)
            & ( 8 = a(X2) )
            & ( 1 = a(X0) )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( X1 != X2 ) )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( 6 = a(X2) )
            & ( X0 != X2 )
            & ( X1 != X2 )
            & ( a(X0) = 6 )
            & ( b(X0) = 5 )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & $less(b(X1),3) )
      & ! [X1: $int,X3: $int,X2: $int,X0: $int] :
          ~ ( $less(X1,X0)
            & ( 10 = a(X1) )
            & ( 7 = a(X2) )
            & ( X1 != X2 )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( X0 != X1 )
            & ( 5 = b(X3) )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X2 != X3 )
            & ( a(X0) = 12 )
            & ( X1 != X3 ) )
      & $true
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( $less(X1,X0)
            & ( 10 = a(X1) )
            & ( b(X0) = 5 )
            & $less(b(X1),3)
            & ( X0 != X1 )
            & ( X0 != X2 )
            & ( X1 != X2 )
            & ( 6 = a(X2) )
            & ( a(X0) = 7 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( ( X1 != X2 )
            & ( a(X0) = 2 )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & ( X2 != X3 )
            & ( 7 = a(X2) )
            & $less(X1,X0)
            & ( X1 != X3 )
            & ( b(X1) = 2 )
            & $less(b(X2),4)
            & ( 5 = b(X3) )
            & ( X0 != X3 )
            & ( 10 = a(X1) ) )
      & ! [X0: $int,X2: $int,X3: $int,X1: $int] :
          ~ ( ( X0 != X2 )
            & $less(X1,X0)
            & ( X1 != X2 )
            & ( 1 = a(X3) )
            & ( a(X0) = 5 )
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & $less(b(X1),3)
            & ( X1 != X3 )
            & ( 8 = a(X2) )
            & ( X2 != X3 )
            & ( X0 != X3 ) )
      & ! [X2: $int,X0: $int,X1: $int,X3: $int] :
          ~ ( ( X2 != X3 )
            & ( 10 = a(X1) )
            & ( b(X2) = 2 )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & ( 7 = a(X2) )
            & ( 5 = b(X3) )
            & ( X1 != X3 )
            & $less(X1,X0)
            & ( 1 = a(X0) )
            & $less(b(X1),3)
            & ( X1 != X2 )
            & ( X0 != X3 ) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( a(X0) = 7 )
            & $less(X1,X0)
            & ( X0 != X2 )
            & $less(b(X1),3)
            & ( 5 = b(X2) )
            & ( X1 != X2 )
            & ( X0 != X1 )
            & ( 10 = a(X1) ) )
      & ! [X1: $int,X0: $int,X2: $int] :
          ~ ( ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( X1 != X2 )
            & ( b(X1) = 2 )
            & $less(X1,X0)
            & ( a(X0) = 7 )
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & ( X0 != X2 ) )
      & ! [X1: $int,X2: $int,X0: $int,X3: $int] :
          ~ ( ( X1 != X2 )
            & ( X0 != X3 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & $less(b(X1),3)
            & ( X0 != X2 )
            & ( a(X0) = 7 )
            & ( a(X2) = 4 )
            & $less(X1,X0)
            & ( 10 = a(X1) )
            & ( b(X0) = 5 )
            & ( 2 = b(X3) )
            & ( X0 != X1 ) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( a(X0) = 6 )
            & ( b(X1) = 2 )
            & ( X0 != X1 )
            & ( X0 != X2 )
            & ( b(X0) = 5 )
            & ( 10 = a(X1) )
            & $less(X1,X0)
            & ( X1 != X2 )
            & ( 5 = a(X2) ) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( X0 != X2 )
            & ( 8 = a(X2) )
            & $less(b(X1),3)
            & $less(X1,X0)
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X1 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( X0 != X1 )
            & ( a(X0) = 12 )
            & ( b(X0) = 5 )
            & ( 10 = a(X1) )
            & ( X1 != X2 )
            & ( 5 = a(X2) )
            & ( b(X1) = 2 )
            & $less(X1,X0)
            & ( X0 != X2 ) )
      & ! [X2: $int,X1: $int,X0: $int] :
          ~ ( ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( b(X1) = 2 )
            & ( 8 = a(X2) )
            & $less(b(X2),4)
            & ( X1 != X2 )
            & ( X0 != X1 )
            & ( X0 != X2 )
            & $less(X1,X0) )
      & ! [X0: $int,X2: $int,X1: $int,X3: $int] :
          ~ ( ( X2 != X3 )
            & ( 7 = a(X2) )
            & ( X0 != X2 )
            & ( a(X0) = 3 )
            & $less(b(X2),4)
            & ( X1 != X2 )
            & ( 10 = a(X1) )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( X1 != X3 )
            & $less(b(X0),4)
            & ( X0 != X3 )
            & ( b(X1) = 2 )
            & ( 5 = b(X3) ) )
      & ( z1 != z5 )
      & ! [X1: $int,X0: $int,X2: $int] :
          ~ ( ( 10 = a(X1) )
            & ( X0 != X1 )
            & ( b(X0) = 5 )
            & $less(b(X1),3)
            & ( a(X0) = 4 )
            & ( X1 != X2 )
            & $less(X1,X0)
            & ( b(X2) = 2 )
            & ( X0 != X2 )
            & ( 7 = a(X2) ) )
      & ! [X3: $int,X0: $int,X2: $int,X1: $int] :
          ~ ( ( X2 != X3 )
            & ( 2 = b(X3) )
            & ( X0 != X1 )
            & ( X0 != X3 )
            & $less(b(X1),3)
            & ( X0 != X2 )
            & ( X1 != X2 )
            & ( b(X0) = 5 )
            & ( X1 != X3 )
            & ( 6 = a(X2) )
            & ( a(X0) = 5 )
            & $less(X1,X0)
            & ( 10 = a(X1) ) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( a(X0) = 3 )
            & ( X0 != X1 )
            & ( b(X1) = 2 )
            & $less(b(X2),4)
            & ( X1 != X2 )
            & $less(X1,X0)
            & ( 10 = a(X1) )
            & ( X0 != X2 )
            & $less(b(X0),4)
            & ( 8 = a(X2) ) )
      & ! [X3: $int,X1: $int,X2: $int,X0: $int] :
          ~ ( $less(X1,X0)
            & ( X0 != X3 )
            & ( a(X0) = 5 )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & ( X1 != X3 )
            & ( 7 = a(X2) )
            & $less(b(X1),3)
            & ( 2 = a(X3) )
            & ( b(X0) = 5 )
            & ( 10 = a(X1) )
            & ( X1 != X2 )
            & ( X2 != X3 ) )
      & ( z1 != z3 )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( 7 = a(X2) )
            & ( X0 != X2 )
            & ( b(X0) = 5 )
            & $less(X1,X0)
            & $less(b(X1),3)
            & ( X1 != X2 )
            & ( X0 != X1 ) )
      & ! [X1: $int,X2: $int,X3: $int,X0: $int] :
          ~ ( ( 10 = a(X1) )
            & ( X0 != X2 )
            & ( a(X0) = 4 )
            & ( X0 != X1 )
            & $less(b(X1),3)
            & ( 5 = b(X2) )
            & ( X0 != X3 )
            & $less(X1,X0)
            & ( X2 != X3 )
            & ( X1 != X2 )
            & ( X1 != X3 )
            & ( 1 = a(X3) ) )
      & ( z1 != z2 )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( X0 != X2 )
            & ( b(X2) = 2 )
            & ( 10 = a(X1) )
            & $less(b(X0),4)
            & ( X0 != X1 )
            & $less(b(X1),3)
            & ( X1 != X2 )
            & ( 8 = a(X2) )
            & $less(X1,X0)
            & ( a(X0) = 3 ) )
      & ( z1 != z4 )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( X0 != X2 )
            & ( b(X0) = 5 )
            & ( a(X0) = 6 )
            & ( b(X1) = 2 )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & ( X1 != X2 )
            & ( a(X2) = 4 ) )
      & ! [X2: $int,X1: $int,X0: $int] :
          ~ ( ( 10 = a(X1) )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( a(X0) = 4 )
            & ( b(X1) = 2 )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( 5 = b(X2) ) )
      & ! [X2: $int,X1: $int,X0: $int] :
          ~ ( ( X0 != X1 )
            & ( X0 != X2 )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( 8 = a(X2) )
            & ( X1 != X2 )
            & ( 1 = a(X0) )
            & $less(X1,X0) )
      & ! [X1: $int,X2: $int,X3: $int,X0: $int] :
          ~ ( ( X0 != X1 )
            & $less(b(X1),3)
            & ( X0 != X3 )
            & ( 5 = b(X3) )
            & ( 10 = a(X1) )
            & ( b(X2) = 2 )
            & ( X0 != X2 )
            & ( X1 != X2 )
            & ( a(X0) = 4 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( 7 = a(X2) )
            & $less(X1,X0) )
      & ! [X2: $int,X1: $int,X0: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & ( a(X0) = 4 )
            & ( X0 != X2 )
            & $less(b(X1),3)
            & ( X1 != X2 )
            & ( X0 != X1 )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) ) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( a(X0) = 2 )
            & ( 10 = a(X1) )
            & ( X0 != X2 )
            & $less(b(X1),3)
            & $less(X1,X0)
            & ( X1 != X2 )
            & ( X0 != X1 )
            & ( 8 = a(X2) )
            & ( b(X2) = 2 ) )
      & ! [X0: $int,X3: $int,X1: $int,X2: $int] :
          ~ ( ( X1 != X2 )
            & ( 2 = b(X3) )
            & ( X0 != X3 )
            & ( X2 != X3 )
            & ( 8 = a(X2) )
            & ( X0 != X1 )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( X0 != X2 )
            & $less(b(X0),4)
            & $less(b(X2),4)
            & ( X1 != X3 )
            & ( a(X0) = 3 )
            & $less(X1,X0) )
      & ! [X3: $int,X0: $int,X1: $int,X2: $int] :
          ~ ( ( X2 != X3 )
            & ( 10 = a(X1) )
            & ( X0 != X2 )
            & $less(b(X1),3)
            & ( b(X2) = 2 )
            & $less(b(X0),4)
            & $less(X1,X0)
            & ( 5 = b(X3) )
            & ( 7 = a(X2) )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( a(X0) = 3 )
            & ( X0 != X1 ) )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( X0 != X2 )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & $less(X1,X0)
            & ( a(X0) = 12 )
            & ( X1 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X3: $int,X1: $int,X2: $int] :
          ~ ( ( 10 = a(X1) )
            & $less(X1,X0)
            & ( X1 != X3 )
            & ( b(X1) = 2 )
            & ( 5 = b(X3) )
            & ( X0 != X1 )
            & ( X2 != X3 )
            & ( X0 != X2 )
            & ( 1 = a(X0) )
            & ( 7 = a(X2) )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & $less(b(X2),4) )
      & ! [X1: $int,X3: $int,X2: $int,X0: $int] :
          ~ ( ( X0 != X2 )
            & ( X1 != X2 )
            & ( a(X0) = 5 )
            & $less(b(X1),3)
            & ( 2 = b(X3) )
            & ( 8 = a(X2) )
            & ( X0 != X1 )
            & ( X0 != X3 )
            & ( 10 = a(X1) )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & $less(X1,X0) )
      & ! [X1: $int,X0: $int,X2: $int,X3: $int] :
          ~ ( ( X0 != X3 )
            & ( a(X0) = 4 )
            & ( 2 = a(X3) )
            & ( 10 = a(X1) )
            & ( X0 != X1 )
            & $less(X1,X0)
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( 8 = a(X2) )
            & $less(b(X1),3)
            & ( X1 != X3 )
            & ( X2 != X3 ) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( X0 != X1 )
            & $less(b(X2),4)
            & ( 7 = a(X2) )
            & ( b(X0) = 5 )
            & ( 1 = a(X0) )
            & ( X1 != X2 )
            & ( 10 = a(X1) )
            & ( X0 != X2 )
            & ( b(X1) = 2 )
            & $less(X1,X0) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( b(X0) = 5 )
            & ( a(X0) = 4 )
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & ( 5 = a(X2) )
            & ( X0 != X2 )
            & ( b(X1) = 2 )
            & ( X1 != X2 )
            & $less(X1,X0) )
      & ! [X1: $int,X3: $int,X2: $int,X0: $int] :
          ~ ( ( X1 != X2 )
            & $less(b(X1),3)
            & ( X2 != X3 )
            & ( X0 != X1 )
            & ( X0 != X2 )
            & ( 5 = a(X2) )
            & ( X1 != X3 )
            & ( 10 = a(X1) )
            & ( b(X0) = 5 )
            & ( a(X0) = 6 )
            & $less(X1,X0)
            & ( X0 != X3 )
            & ( 2 = b(X3) ) )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( 10 = a(X1) )
            & ( b(X0) = 5 )
            & ( X1 != X2 )
            & $less(X1,X0)
            & ( a(X0) = 2 )
            & ( 5 = a(X2) )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & ( b(X1) = 2 ) )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( X0 != X1 )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X0 != X2 )
            & $less(X1,X0)
            & ( b(X0) = 5 )
            & ( X1 != X2 )
            & ( 7 = a(X2) )
            & ( b(X1) = 2 ) )
      & ! [X0: $int,X3: $int,X2: $int,X1: $int] :
          ~ ( ( 2 = a(X3) )
            & ( 10 = a(X1) )
            & $less(b(X1),3)
            & ( X1 != X3 )
            & ( 8 = a(X2) )
            & $less(X1,X0)
            & ( a(X0) = 5 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & ( X1 != X2 )
            & ( X2 != X3 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( ( 10 = a(X1) )
            & ( X1 != X2 )
            & ( X0 != X1 )
            & ( X0 != X2 )
            & ( 5 = b(X2) )
            & ( b(X1) = 2 )
            & ( a(X0) = 5 )
            & $less(X1,X0) )
      & ! [X3: $int,X1: $int,X0: $int,X2: $int] :
          ~ ( ( a(X0) = 4 )
            & ( X1 != X3 )
            & ( X2 != X3 )
            & ( b(X0) = 5 )
            & ( X0 != X3 )
            & $less(X1,X0)
            & ( 10 = a(X1) )
            & ( 7 = a(X2) )
            & ( X0 != X1 )
            & ( X1 != X2 )
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( X0 != X2 ) )
      & ! [X2: $int,X1: $int,X0: $int,X3: $int] :
          ~ ( ( X2 != X3 )
            & ( 2 = b(X3) )
            & ( a(X0) = 7 )
            & ( X0 != X1 )
            & ( 10 = a(X1) )
            & ( X1 != X2 )
            & ( 5 = a(X2) )
            & $less(X1,X0)
            & ( X0 != X3 )
            & $less(b(X1),3)
            & ( X0 != X2 )
            & ( X1 != X3 )
            & ( b(X0) = 5 ) )
      & ( z4 != z5 )
      & ! [X1: $int,X0: $int,X2: $int] :
          ~ ( ( X0 != X1 )
            & $less(b(X2),4)
            & ( a(X0) = 2 )
            & ( b(X1) = 2 )
            & ( X1 != X2 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & $less(X1,X0)
            & ( X0 != X2 )
            & ( b(X0) = 5 ) )
      & ! [X1: $int,X0: $int] :
          ~ ( ( X0 != X1 )
            & ( a(X0) = 10 )
            & ( 10 = a(X1) ) )
      & ! [X2: $int,X1: $int,X0: $int] :
          ~ ( ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( 10 = a(X1) )
            & ( b(X0) = 5 )
            & ( X0 != X2 )
            & ( 7 = a(X2) )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( b(X1) = 2 ) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( 10 = a(X1) )
            & ( 5 = a(X2) )
            & ( 1 = a(X0) )
            & $less(X1,X0)
            & ( X1 != X2 )
            & ( X0 != X1 )
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( X0 != X2 ) )
      & ! [X1: $int,X2: $int,X0: $int] :
          ~ ( ( X1 != X2 )
            & ( b(X1) = 2 )
            & $less(X1,X0)
            & ( X0 != X1 )
            & ( b(X0) = 5 )
            & ( 10 = a(X1) )
            & ( a(X2) = 4 )
            & ( a(X0) = 4 )
            & ( X0 != X2 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( ( X0 != X2 )
            & ( b(X0) = 5 )
            & ( X1 != X2 )
            & ( a(X2) = 4 )
            & ( 1 = a(X0) )
            & ( b(X1) = 2 )
            & ( 10 = a(X1) )
            & $less(X1,X0)
            & ( X0 != X1 ) )
      & ( z3 != z5 )
      & ! [X2: $int,X0: $int,X1: $int] :
          ~ ( ( X0 != X1 )
            & ( 10 = a(X1) )
            & ( b(X0) = 5 )
            & ( a(X2) = 4 )
            & ( X1 != X2 )
            & ( b(X1) = 2 )
            & ( X0 != X2 )
            & $less(X1,X0)
            & ( a(X0) = 12 ) )
      & ! [X0: $int,X2: $int,X3: $int,X1: $int] :
          ~ ( ( X1 != X3 )
            & $less(X1,X0)
            & ( 10 = a(X1) )
            & ( 5 = b(X3) )
            & ( X0 != X3 )
            & ( X2 != X3 )
            & ( a(X0) = 12 )
            & ( X0 != X1 )
            & ( b(X1) = 2 )
            & ( X0 != X2 )
            & ( X1 != X2 )
            & $less(b(X2),4)
            & ( 7 = a(X2) ) )
      & ! [X2: $int,X3: $int,X1: $int,X0: $int] :
          ~ ( ( a(X0) = 4 )
            & ( X0 != X1 )
            & ( X1 != X3 )
            & ( X2 != X3 )
            & ( X0 != X3 )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & $less(X1,X0)
            & ( 8 = a(X2) )
            & ( X0 != X2 )
            & ( 2 = b(X3) )
            & ( X1 != X2 ) )
      & ( z2 != z4 )
      & ( z3 != z4 )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( ( a(X0) = 4 )
            & ( X1 != X2 )
            & ( 10 = a(X1) )
            & ( X0 != X2 )
            & ( X0 != X1 )
            & $less(X1,X0)
            & ( b(X1) = 2 )
            & ( 8 = a(X2) ) )
      & ( z2 != z5 )
      & ! [X1: $int,X0: $int,X2: $int] :
          ~ ( ( a(X0) = 5 )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & $less(X1,X0)
            & ( b(X0) = 5 )
            & ( 10 = a(X1) )
            & ( 7 = a(X2) )
            & ( X0 != X1 )
            & ( X1 != X2 )
            & ( X0 != X2 ) )
      & ! [X0: $int,X2: $int,X1: $int] :
          ~ ( ( X0 != X1 )
            & $less(b(X2),4)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X0 != X2 )
            & $less(X1,X0)
            & ( b(X1) = 2 )
            & ( X1 != X2 ) ) )
   => ~ ( $less(z2,z1)
        & ( 5 = b(z3) )
        & ( 5 = a(z1) )
        & $less(b(z2),3)
        & ( 10 = a(z2) )
        & ( 5 = b(z4) )
        & ( 7 = a(z3) )
        & ( 1 = a(z4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(f508,plain,
    z1 = z2,
    inference(subsumption_resolution,[],[f507,f103]) ).

tff(f103,plain,
    z1 != z3,
    inference(cnf_transformation,[],[f20]) ).

tff(f507,plain,
    ( ( z1 = z3 )
    | ( z1 = z2 ) ),
    inference(subsumption_resolution,[],[f506,f113]) ).

tff(f113,plain,
    z1 != z4,
    inference(cnf_transformation,[],[f20]) ).

tff(f506,plain,
    ( ( z1 = z4 )
    | ( z1 = z3 )
    | ( z1 = z2 ) ),
    inference(subsumption_resolution,[],[f505,f105]) ).

tff(f105,plain,
    $less(z2,z1),
    inference(cnf_transformation,[],[f20]) ).

tff(f505,plain,
    ( ~ $less(z2,z1)
    | ( z1 = z2 )
    | ( z1 = z3 )
    | ( z1 = z4 ) ),
    inference(trivial_inequality_removal,[],[f501]) ).

tff(f501,plain,
    ( ( 5 != 5 )
    | ( z1 = z4 )
    | ( z1 = z2 )
    | ( z1 = z3 )
    | ~ $less(z2,z1) ),
    inference(superposition,[],[f496,f89]) ).

tff(f89,plain,
    5 = a(z1),
    inference(cnf_transformation,[],[f20]) ).

tff(f496,plain,
    ! [X3: $int] :
      ( ( 5 != a(X3) )
      | ( z4 = X3 )
      | ( z2 = X3 )
      | ( z3 = X3 )
      | ~ $less(z2,X3) ),
    inference(subsumption_resolution,[],[f495,f84]) ).

tff(f84,plain,
    z3 != z4,
    inference(cnf_transformation,[],[f20]) ).

tff(f495,plain,
    ! [X3: $int] :
      ( ( z4 = X3 )
      | ( z3 = X3 )
      | ( z3 = z4 )
      | ( z2 = X3 )
      | ~ $less(z2,X3)
      | ( 5 != a(X3) ) ),
    inference(subsumption_resolution,[],[f494,f47]) ).

tff(f47,plain,
    z2 != z4,
    inference(cnf_transformation,[],[f20]) ).

tff(f494,plain,
    ! [X3: $int] :
      ( ( z2 = X3 )
      | ( z3 = X3 )
      | ( 5 != a(X3) )
      | ~ $less(z2,X3)
      | ( z2 = z4 )
      | ( z4 = X3 )
      | ( z3 = z4 ) ),
    inference(trivial_inequality_removal,[],[f493]) ).

tff(f493,plain,
    ! [X3: $int] :
      ( ( z3 = z4 )
      | ( z2 = z4 )
      | ( 1 != 1 )
      | ~ $less(z2,X3)
      | ( z2 = X3 )
      | ( z4 = X3 )
      | ( 5 != a(X3) )
      | ( z3 = X3 ) ),
    inference(superposition,[],[f488,f114]) ).

tff(f114,plain,
    1 = a(z4),
    inference(cnf_transformation,[],[f20]) ).

tff(f488,plain,
    ! [X0: $int,X1: $int] :
      ( ( 1 != a(X1) )
      | ~ $less(z2,X0)
      | ( a(X0) != 5 )
      | ( z2 = X1 )
      | ( z3 = X0 )
      | ( z3 = X1 )
      | ( X0 = X1 )
      | ( z2 = X0 ) ),
    inference(subsumption_resolution,[],[f487,f99]) ).

tff(f99,plain,
    z2 != z3,
    inference(cnf_transformation,[],[f20]) ).

tff(f487,plain,
    ! [X0: $int,X1: $int] :
      ( ( z3 = X1 )
      | ~ $less(z2,X0)
      | ( z3 = X0 )
      | ( z2 = z3 )
      | ( z2 = X0 )
      | ( X0 = X1 )
      | ( z2 = X1 )
      | ( 1 != a(X1) )
      | ( a(X0) != 5 ) ),
    inference(trivial_inequality_removal,[],[f484]) ).

tff(f484,plain,
    ! [X0: $int,X1: $int] :
      ( ( z3 = X0 )
      | ( z2 = z3 )
      | ( z3 = X1 )
      | ( z2 = X0 )
      | ( 1 != a(X1) )
      | ~ $less(z2,X0)
      | ( 5 != 5 )
      | ( z2 = X1 )
      | ( a(X0) != 5 )
      | ( X0 = X1 ) ),
    inference(superposition,[],[f483,f96]) ).

tff(f96,plain,
    5 = b(z3),
    inference(cnf_transformation,[],[f20]) ).

tff(f483,plain,
    ! [X3: $int,X4: $int,X5: $int] :
      ( ( 5 != b(X5) )
      | ( X3 = X5 )
      | ( X3 = X4 )
      | ( 1 != a(X4) )
      | ~ $less(z2,X3)
      | ( z2 = X3 )
      | ( 5 != a(X3) )
      | ( z2 = X4 )
      | ( X4 = X5 )
      | ( z2 = X5 ) ),
    inference(subsumption_resolution,[],[f482,f67]) ).

tff(f67,plain,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f20]) ).

tff(f482,plain,
    ! [X3: $int,X4: $int,X5: $int] :
      ( ( z2 = X3 )
      | ( 5 != a(X3) )
      | ( X4 = X5 )
      | ( X3 = X5 )
      | ( z2 = X5 )
      | ( X3 = X4 )
      | ~ $less(z2,X3)
      | ( z2 = X4 )
      | ( 1 != a(X4) )
      | ( 5 != b(X5) )
      | ~ $less(b(z2),3) ),
    inference(trivial_inequality_removal,[],[f479]) ).

tff(f479,plain,
    ! [X3: $int,X4: $int,X5: $int] :
      ( ( X3 = X5 )
      | ( z2 = X4 )
      | ~ $less(z2,X3)
      | ( z2 = X3 )
      | ( 1 != a(X4) )
      | ( z2 = X5 )
      | ( 5 != b(X5) )
      | ( 10 != 10 )
      | ~ $less(b(z2),3)
      | ( X4 = X5 )
      | ( X3 = X4 )
      | ( 5 != a(X3) ) ),
    inference(superposition,[],[f65,f30]) ).

tff(f30,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f20]) ).

tff(f65,plain,
    ! [X155: $int,X153: $int,X156: $int,X154: $int] :
      ( ( 10 != a(X153) )
      | ~ $less(X153,X155)
      | ( X154 = X155 )
      | ( X153 = X156 )
      | ( 5 != a(X155) )
      | ( X155 = X156 )
      | ( X153 = X155 )
      | ( X154 = X156 )
      | ( 1 != a(X154) )
      | ( X153 = X154 )
      | ~ $less(b(X153),3)
      | ( 5 != b(X156) ) ),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWW004=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 20:14:33 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (8650)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.46  % (8657)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.46  % (8657)Instruction limit reached!
% 0.18/0.46  % (8657)------------------------------
% 0.18/0.46  % (8657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46  % (8657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46  % (8657)Termination reason: Unknown
% 0.18/0.46  % (8657)Termination phase: Including theory axioms
% 0.18/0.46  
% 0.18/0.46  % (8657)Memory used [KB]: 1023
% 0.18/0.46  % (8657)Time elapsed: 0.007 s
% 0.18/0.46  % (8657)Instructions burned: 7 (million)
% 0.18/0.46  % (8657)------------------------------
% 0.18/0.46  % (8657)------------------------------
% 0.18/0.47  % (8659)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.47  % (8650)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.47  % (8650)Terminated due to inappropriate strategy.
% 0.18/0.47  % (8650)------------------------------
% 0.18/0.47  % (8650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (8650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (8650)Termination reason: Inappropriate
% 0.18/0.47  
% 0.18/0.47  % (8650)Memory used [KB]: 1663
% 0.18/0.47  % (8650)Time elapsed: 0.011 s
% 0.18/0.47  % (8650)Instructions burned: 16 (million)
% 0.18/0.47  % (8650)------------------------------
% 0.18/0.47  % (8650)------------------------------
% 0.18/0.48  % (8675)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.50  % (8667)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52  % (8661)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (8660)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (8678)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52  % (8651)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (8654)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (8667)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.53  % (8667)Terminated due to inappropriate strategy.
% 0.18/0.53  % (8667)------------------------------
% 0.18/0.53  % (8667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (8667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (8667)Termination reason: Inappropriate
% 0.18/0.53  
% 0.18/0.53  % (8667)Memory used [KB]: 1663
% 0.18/0.53  % (8667)Time elapsed: 0.011 s
% 0.18/0.53  % (8667)Instructions burned: 18 (million)
% 0.18/0.53  % (8667)------------------------------
% 0.18/0.53  % (8667)------------------------------
% 0.18/0.53  % (8658)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.39/0.53  % (8658)Instruction limit reached!
% 1.39/0.53  % (8658)------------------------------
% 1.39/0.53  % (8658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53  % (8658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53  % (8658)Termination reason: Unknown
% 1.39/0.53  % (8658)Termination phase: shuffling
% 1.39/0.53  
% 1.39/0.53  % (8658)Memory used [KB]: 895
% 1.39/0.53  % (8658)Time elapsed: 0.002 s
% 1.39/0.53  % (8658)Instructions burned: 2 (million)
% 1.39/0.53  % (8658)------------------------------
% 1.39/0.53  % (8658)------------------------------
% 1.39/0.53  % (8680)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.39/0.53  % (8674)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.39/0.53  % (8670)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.39/0.53  % (8676)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.39/0.53  % (8664)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.39/0.53  % (8677)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.39/0.54  % (8652)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.39/0.54  % (8659)Instruction limit reached!
% 1.39/0.54  % (8659)------------------------------
% 1.39/0.54  % (8659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54  % (8659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54  % (8659)Termination reason: Unknown
% 1.39/0.54  % (8659)Termination phase: Saturation
% 1.39/0.54  
% 1.39/0.54  % (8659)Memory used [KB]: 1791
% 1.39/0.54  % (8659)Time elapsed: 0.032 s
% 1.39/0.54  % (8659)Instructions burned: 51 (million)
% 1.39/0.54  % (8659)------------------------------
% 1.39/0.54  % (8659)------------------------------
% 1.39/0.54  % (8666)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.54  % (8653)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.54  % (8662)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.39/0.54  % (8672)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.39/0.54  % (8668)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.55  % (8655)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.58/0.55  % (8669)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.55  % (8673)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.58/0.55  % (8656)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.56  % (8681)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 1.58/0.56  % (8679)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.58/0.57  % (8663)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.58  % (8665)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.58/0.58  % (8671)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.58/0.58  % (8660)Instruction limit reached!
% 1.58/0.58  % (8660)------------------------------
% 1.58/0.58  % (8660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (8660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (8660)Termination reason: Unknown
% 1.58/0.58  % (8660)Termination phase: Saturation
% 1.58/0.58  
% 1.58/0.58  % (8660)Memory used [KB]: 6268
% 1.58/0.58  % (8660)Time elapsed: 0.023 s
% 1.58/0.58  % (8660)Instructions burned: 51 (million)
% 1.58/0.58  % (8660)------------------------------
% 1.58/0.58  % (8660)------------------------------
% 1.58/0.58  % (8656)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.58/0.58  % (8656)Terminated due to inappropriate strategy.
% 1.58/0.58  % (8656)------------------------------
% 1.58/0.58  % (8656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (8656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (8656)Termination reason: Inappropriate
% 1.58/0.58  
% 1.58/0.58  % (8656)Memory used [KB]: 1663
% 1.58/0.58  % (8656)Time elapsed: 0.010 s
% 1.58/0.58  % (8656)Instructions burned: 19 (million)
% 1.58/0.58  % (8656)------------------------------
% 1.58/0.58  % (8656)------------------------------
% 1.58/0.58  % (8654)Instruction limit reached!
% 1.58/0.58  % (8654)------------------------------
% 1.58/0.58  % (8654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (8654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (8654)Termination reason: Unknown
% 1.58/0.58  % (8654)Termination phase: Saturation
% 1.58/0.58  
% 1.58/0.58  % (8654)Memory used [KB]: 6268
% 1.58/0.58  % (8654)Time elapsed: 0.021 s
% 1.58/0.58  % (8654)Instructions burned: 51 (million)
% 1.58/0.58  % (8654)------------------------------
% 1.58/0.58  % (8654)------------------------------
% 1.58/0.59  % (8652)Instruction limit reached!
% 1.58/0.59  % (8652)------------------------------
% 1.58/0.59  % (8652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (8652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (8652)Termination reason: Unknown
% 1.58/0.59  % (8652)Termination phase: Saturation
% 1.58/0.59  
% 1.58/0.59  % (8652)Memory used [KB]: 1663
% 1.58/0.59  % (8652)Time elapsed: 0.017 s
% 1.58/0.59  % (8652)Instructions burned: 38 (million)
% 1.58/0.59  % (8652)------------------------------
% 1.58/0.59  % (8652)------------------------------
% 1.58/0.60  % (8653)Instruction limit reached!
% 1.58/0.60  % (8653)------------------------------
% 1.58/0.60  % (8653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60  % (8653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60  % (8653)Termination reason: Unknown
% 1.58/0.60  % (8653)Termination phase: Saturation
% 1.58/0.60  
% 1.58/0.60  % (8653)Memory used [KB]: 6268
% 1.58/0.60  % (8653)Time elapsed: 0.022 s
% 1.58/0.60  % (8653)Instructions burned: 53 (million)
% 1.58/0.60  % (8653)------------------------------
% 1.58/0.60  % (8653)------------------------------
% 1.58/0.60  % (8651)Instruction limit reached!
% 1.58/0.60  % (8651)------------------------------
% 1.58/0.60  % (8651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60  % (8651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60  % (8651)Termination reason: Unknown
% 1.58/0.60  % (8651)Termination phase: Saturation
% 1.58/0.60  
% 1.58/0.60  % (8651)Memory used [KB]: 6268
% 1.58/0.60  % (8651)Time elapsed: 0.023 s
% 1.58/0.60  % (8651)Instructions burned: 50 (million)
% 1.58/0.60  % (8651)------------------------------
% 1.58/0.60  % (8651)------------------------------
% 2.14/0.64  % (8664)Instruction limit reached!
% 2.14/0.64  % (8664)------------------------------
% 2.14/0.64  % (8664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64  % (8664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64  % (8664)Termination reason: Unknown
% 2.14/0.64  % (8664)Termination phase: Saturation
% 2.14/0.64  
% 2.14/0.64  % (8664)Memory used [KB]: 7036
% 2.14/0.64  % (8664)Time elapsed: 0.035 s
% 2.14/0.64  % (8664)Instructions burned: 68 (million)
% 2.14/0.64  % (8664)------------------------------
% 2.14/0.64  % (8664)------------------------------
% 2.14/0.64  % (8676)Instruction limit reached!
% 2.14/0.64  % (8676)------------------------------
% 2.14/0.64  % (8676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64  % (8676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64  % (8676)Termination reason: Unknown
% 2.14/0.64  % (8676)Termination phase: Saturation
% 2.14/0.64  
% 2.14/0.64  % (8676)Memory used [KB]: 7036
% 2.14/0.64  % (8676)Time elapsed: 0.033 s
% 2.14/0.64  % (8676)Instructions burned: 70 (million)
% 2.14/0.64  % (8676)------------------------------
% 2.14/0.64  % (8676)------------------------------
% 2.14/0.65  % (8655)Instruction limit reached!
% 2.14/0.65  % (8655)------------------------------
% 2.14/0.65  % (8655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65  % (8655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65  % (8655)Termination reason: Unknown
% 2.14/0.65  % (8655)Termination phase: Saturation
% 2.14/0.65  
% 2.14/0.65  % (8655)Memory used [KB]: 6396
% 2.14/0.65  % (8655)Time elapsed: 0.251 s
% 2.14/0.65  % (8655)Instructions burned: 48 (million)
% 2.14/0.65  % (8655)------------------------------
% 2.14/0.65  % (8655)------------------------------
% 2.14/0.66  % (8683)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.14/0.67  % (8682)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.14/0.67  % (8684)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/934Mi)
% 2.43/0.68  % (8662)Instruction limit reached!
% 2.43/0.68  % (8662)------------------------------
% 2.43/0.68  % (8662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.68  % (8662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.68  % (8662)Termination reason: Unknown
% 2.43/0.68  % (8662)Termination phase: Saturation
% 2.43/0.68  
% 2.43/0.68  % (8662)Memory used [KB]: 6396
% 2.43/0.68  % (8662)Time elapsed: 0.277 s
% 2.43/0.68  % (8662)Instructions burned: 102 (million)
% 2.43/0.68  % (8662)------------------------------
% 2.43/0.68  % (8662)------------------------------
% 2.43/0.68  % (8661)Instruction limit reached!
% 2.43/0.68  % (8661)------------------------------
% 2.43/0.68  % (8661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.68  % (8661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.68  % (8661)Termination reason: Unknown
% 2.43/0.68  % (8661)Termination phase: Saturation
% 2.43/0.68  
% 2.43/0.68  % (8661)Memory used [KB]: 6780
% 2.43/0.68  % (8661)Time elapsed: 0.281 s
% 2.43/0.68  % (8661)Instructions burned: 101 (million)
% 2.43/0.68  % (8661)------------------------------
% 2.43/0.68  % (8661)------------------------------
% 2.43/0.69  % (8669)Instruction limit reached!
% 2.43/0.69  % (8669)------------------------------
% 2.43/0.69  % (8669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.69  % (8669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.69  % (8669)Termination reason: Unknown
% 2.43/0.69  % (8669)Termination phase: Saturation
% 2.43/0.69  
% 2.43/0.69  % (8669)Memory used [KB]: 1918
% 2.43/0.69  % (8669)Time elapsed: 0.275 s
% 2.43/0.69  % (8669)Instructions burned: 101 (million)
% 2.43/0.69  % (8669)------------------------------
% 2.43/0.69  % (8669)------------------------------
% 2.43/0.69  % (8666)Instruction limit reached!
% 2.43/0.69  % (8666)------------------------------
% 2.43/0.69  % (8666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.69  % (8666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.69  % (8666)Termination reason: Unknown
% 2.43/0.69  % (8666)Termination phase: Saturation
% 2.43/0.69  
% 2.43/0.69  % (8666)Memory used [KB]: 6908
% 2.43/0.69  % (8666)Time elapsed: 0.296 s
% 2.43/0.69  % (8666)Instructions burned: 99 (million)
% 2.43/0.69  % (8666)------------------------------
% 2.43/0.69  % (8666)------------------------------
% 2.43/0.69  % (8685)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.43/0.69  % (8670)First to succeed.
% 2.43/0.70  % (8668)Instruction limit reached!
% 2.43/0.70  % (8668)------------------------------
% 2.43/0.70  % (8668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.70  % (8668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.70  % (8668)Termination reason: Unknown
% 2.43/0.70  % (8668)Termination phase: Saturation
% 2.43/0.70  
% 2.43/0.70  % (8668)Memory used [KB]: 6652
% 2.43/0.70  % (8668)Time elapsed: 0.268 s
% 2.43/0.70  % (8668)Instructions burned: 101 (million)
% 2.43/0.70  % (8668)------------------------------
% 2.43/0.70  % (8668)------------------------------
% 2.43/0.70  % (8686)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.43/0.71  % (8665)Instruction limit reached!
% 2.43/0.71  % (8665)------------------------------
% 2.43/0.71  % (8665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.71  % (8665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.71  % (8665)Termination reason: Unknown
% 2.43/0.71  % (8665)Termination phase: Saturation
% 2.43/0.71  
% 2.43/0.71  % (8665)Memory used [KB]: 1791
% 2.43/0.71  % (8665)Time elapsed: 0.314 s
% 2.43/0.71  % (8665)Instructions burned: 76 (million)
% 2.43/0.71  % (8665)------------------------------
% 2.43/0.71  % (8665)------------------------------
% 2.43/0.71  % (8688)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.43/0.72  % (8687)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.43/0.73  % (8670)Refutation found. Thanks to Tanya!
% 2.43/0.73  % SZS status Theorem for theBenchmark
% 2.43/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.43/0.73  % (8670)------------------------------
% 2.43/0.73  % (8670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.73  % (8670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.73  % (8670)Termination reason: Refutation
% 2.43/0.73  
% 2.43/0.73  % (8670)Memory used [KB]: 7164
% 2.43/0.73  % (8670)Time elapsed: 0.293 s
% 2.43/0.73  % (8670)Instructions burned: 101 (million)
% 2.43/0.73  % (8670)------------------------------
% 2.43/0.73  % (8670)------------------------------
% 2.43/0.73  % (8649)Success in time 0.376 s
%------------------------------------------------------------------------------