TSTP Solution File: SWW006_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW006_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n019.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 : Sat Sep  2 14:01:07 EDT 2023

% Result   : Theorem 0.23s 0.51s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   37 (  12 unt;   7 typ;   0 def)
%            Number of atoms       : 6675 (5510 equ)
%            Maximal formula atoms :  942 ( 222 avg)
%            Number of connectives : 10160 (3515   ~;1719   |;4921   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (  29 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     : 6668 (1160 atm;   0 fun;3395 num;2113 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   : 2113 (;2113   !;   0   ?;2113   :)

% 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(f426,plain,
    $false,
    inference(subsumption_resolution,[],[f425,f24]) ).

tff(f24,plain,
    z1 != z2,
    inference(cnf_transformation,[],[f19]) ).

tff(f19,plain,
    ( $less(z2,z1)
    & ( 2 = b(z4) )
    & ( 2 = b(z3) )
    & $less(b(z2),3)
    & ( 5 = b(z1) )
    & ( 5 = a(z4) )
    & ( 6 = a(z3) )
    & ( 10 = a(z2) )
    & ( 5 = a(z1) )
    & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
        ( ~ $less(X1,X0)
        | ( 2 != b(X3) )
        | ~ $less(b(X1),3)
        | ( b(X0) != 5 )
        | ( 5 != a(X2) )
        | ( 10 != a(X1) )
        | ( a(X0) != 5 )
        | ( X2 = X3 )
        | ( X1 = X3 )
        | ( X1 = X2 )
        | ( X0 = X3 )
        | ( X0 = X2 )
        | ( X0 = X1 ) )
    & ! [X4: $int,X5: $int,X6: $int,X7: $int] :
        ( ~ $less(X5,X4)
        | ~ $less(b(X5),3)
        | ( 5 != b(X4) )
        | ( 2 != a(X7) )
        | ( 6 != a(X6) )
        | ( 10 != a(X5) )
        | ( 5 != a(X4) )
        | ( X6 = X7 )
        | ( X5 = X7 )
        | ( X5 = X6 )
        | ( X4 = X7 )
        | ( X4 = X6 )
        | ( X4 = X5 ) )
    & ! [X8: $int,X9: $int,X10: $int,X11: $int] :
        ( ~ $less(X9,X8)
        | ( 5 != b(X10) )
        | ~ $less(b(X9),3)
        | ( 12 != a(X11) )
        | ( 10 != a(X9) )
        | ( 5 != a(X8) )
        | ( X10 = X11 )
        | ( X9 = X11 )
        | ( X9 = X10 )
        | ( X8 = X11 )
        | ( X8 = X10 )
        | ( X8 = X9 ) )
    & ! [X12: $int,X13: $int,X14: $int,X15: $int] :
        ( ~ $less(X13,X12)
        | ( 5 != b(X14) )
        | ~ $less(b(X13),3)
        | ( 1 != a(X15) )
        | ( 10 != a(X13) )
        | ( 4 != a(X12) )
        | ( X14 = X15 )
        | ( X13 = X15 )
        | ( X13 = X14 )
        | ( X12 = X15 )
        | ( X12 = X14 )
        | ( X12 = X13 ) )
    & ! [X16: $int,X17: $int,X18: $int,X19: $int] :
        ( ~ $less(X17,X16)
        | ( 2 != b(X19) )
        | ~ $less(b(X17),3)
        | ( 5 != b(X16) )
        | ( 7 != a(X18) )
        | ( 10 != a(X17) )
        | ( 4 != a(X16) )
        | ( X18 = X19 )
        | ( X17 = X19 )
        | ( X17 = X18 )
        | ( X16 = X19 )
        | ( X16 = X18 )
        | ( X16 = X17 ) )
    & ! [X20: $int,X21: $int,X22: $int,X23: $int] :
        ( ~ $less(X21,X20)
        | ( 2 != b(X23) )
        | ~ $less(b(X22),4)
        | ~ $less(b(X21),3)
        | ~ $less(b(X20),4)
        | ( 8 != a(X22) )
        | ( 10 != a(X21) )
        | ( 3 != a(X20) )
        | ( X22 = X23 )
        | ( X21 = X23 )
        | ( X21 = X22 )
        | ( X20 = X23 )
        | ( X20 = X22 )
        | ( X20 = X21 ) )
    & ! [X24: $int,X25: $int,X26: $int,X27: $int] :
        ( ~ $less(X25,X24)
        | ( 5 != b(X27) )
        | ~ $less(b(X25),3)
        | ( 2 != a(X27) )
        | ( 7 != a(X26) )
        | ( 10 != a(X25) )
        | ( 5 != a(X24) )
        | ( X26 = X27 )
        | ( X25 = X27 )
        | ( X25 = X26 )
        | ( X24 = X27 )
        | ( X24 = X26 )
        | ( X24 = X25 ) )
    & ! [X28: $int,X29: $int,X30: $int,X31: $int] :
        ( ~ $less(X29,X28)
        | ~ $less(b(X29),3)
        | ( 2 != a(X31) )
        | ( 8 != a(X30) )
        | ( 10 != a(X29) )
        | ( 4 != a(X28) )
        | ( X30 = X31 )
        | ( X29 = X31 )
        | ( X29 = X30 )
        | ( X28 = X31 )
        | ( X28 = X30 )
        | ( X28 = X29 ) )
    & ! [X32: $int,X33: $int,X34: $int,X35: $int] :
        ( ~ $less(X33,X32)
        | ~ $less(b(X33),3)
        | ( 1 != a(X35) )
        | ( 8 != a(X34) )
        | ( 10 != a(X33) )
        | ( 5 != a(X32) )
        | ( X34 = X35 )
        | ( X33 = X35 )
        | ( X33 = X34 )
        | ( X32 = X35 )
        | ( X32 = X34 )
        | ( X32 = X33 ) )
    & ! [X36: $int,X37: $int,X38: $int,X39: $int] :
        ( ~ $less(X37,X36)
        | ( 2 != b(X39) )
        | ~ $less(b(X37),3)
        | ( 5 != b(X36) )
        | ( 4 != a(X38) )
        | ( 10 != a(X37) )
        | ( 7 != a(X36) )
        | ( X38 = X39 )
        | ( X37 = X39 )
        | ( X37 = X38 )
        | ( X36 = X39 )
        | ( X36 = X38 )
        | ( X36 = X37 ) )
    & ! [X40: $int,X41: $int,X42: $int,X43: $int] :
        ( ~ $less(X41,X40)
        | ~ $less(b(X41),3)
        | ( 5 != b(X40) )
        | ( 2 != a(X43) )
        | ( 5 != a(X42) )
        | ( 10 != a(X41) )
        | ( 7 != a(X40) )
        | ( X42 = X43 )
        | ( X41 = X43 )
        | ( X41 = X42 )
        | ( X40 = X43 )
        | ( X40 = X42 )
        | ( X40 = X41 ) )
    & ! [X44: $int,X45: $int,X46: $int,X47: $int] :
        ( ~ $less(X45,X44)
        | ~ $less(b(X45),3)
        | ( 5 != b(X44) )
        | ( 2 != a(X47) )
        | ( 7 != a(X46) )
        | ( 10 != a(X45) )
        | ( 5 != a(X44) )
        | ( X46 = X47 )
        | ( X45 = X47 )
        | ( X45 = X46 )
        | ( X44 = X47 )
        | ( X44 = X46 )
        | ( X44 = X45 ) )
    & ! [X48: $int,X49: $int,X50: $int,X51: $int] :
        ( ~ $less(X49,X48)
        | ( 5 != b(X50) )
        | ~ $less(b(X49),3)
        | ( 2 != a(X51) )
        | ( 10 != a(X49) )
        | ( 4 != a(X48) )
        | ( X50 = X51 )
        | ( X49 = X51 )
        | ( X49 = X50 )
        | ( X48 = X51 )
        | ( X48 = X50 )
        | ( X48 = X49 ) )
    & ! [X52: $int,X53: $int,X54: $int,X55: $int] :
        ( ~ $less(X53,X52)
        | ( 5 != b(X54) )
        | ~ $less(b(X53),3)
        | ( 1 != a(X55) )
        | ( 10 != a(X53) )
        | ( 5 != a(X52) )
        | ( X54 = X55 )
        | ( X53 = X55 )
        | ( X53 = X54 )
        | ( X52 = X55 )
        | ( X52 = X54 )
        | ( X52 = X53 ) )
    & ! [X56: $int,X57: $int,X58: $int,X59: $int] :
        ( ~ $less(X57,X56)
        | ( 2 != b(X59) )
        | ~ $less(b(X57),3)
        | ( 8 != a(X58) )
        | ( 10 != a(X57) )
        | ( 4 != a(X56) )
        | ( X58 = X59 )
        | ( X57 = X59 )
        | ( X57 = X58 )
        | ( X56 = X59 )
        | ( X56 = X58 )
        | ( X56 = X57 ) )
    & ! [X60: $int,X61: $int,X62: $int,X63: $int] :
        ( ~ $less(X61,X60)
        | ~ $less(b(X61),3)
        | ( 2 != a(X63) )
        | ( 8 != a(X62) )
        | ( 10 != a(X61) )
        | ( 5 != a(X60) )
        | ( X62 = X63 )
        | ( X61 = X63 )
        | ( X61 = X62 )
        | ( X60 = X63 )
        | ( X60 = X62 )
        | ( X60 = X61 ) )
    & ! [X64: $int,X65: $int,X66: $int,X67: $int] :
        ( ~ $less(X65,X64)
        | ( 2 != b(X67) )
        | ( 5 != b(X66) )
        | ~ $less(b(X65),3)
        | ( 10 != a(X65) )
        | ( 4 != a(X64) )
        | ( X66 = X67 )
        | ( X65 = X67 )
        | ( X65 = X66 )
        | ( X64 = X67 )
        | ( X64 = X66 )
        | ( X64 = X65 ) )
    & ! [X68: $int,X69: $int,X70: $int,X71: $int] :
        ( ~ $less(X69,X68)
        | ( 5 != b(X70) )
        | ~ $less(b(X69),3)
        | ( 2 != a(X71) )
        | ( 10 != a(X69) )
        | ( 5 != a(X68) )
        | ( X70 = X71 )
        | ( X69 = X71 )
        | ( X69 = X70 )
        | ( X68 = X71 )
        | ( X68 = X70 )
        | ( X68 = X69 ) )
    & ! [X72: $int,X73: $int,X74: $int] :
        ( ~ $less(X73,X72)
        | ( 2 != b(X73) )
        | ( 5 != b(X72) )
        | ( 4 != a(X74) )
        | ( 10 != a(X73) )
        | ( 12 != a(X72) )
        | ( X73 = X74 )
        | ( X72 = X74 )
        | ( X72 = X73 ) )
    & ! [X75: $int,X76: $int,X77: $int] :
        ( ~ $less(X76,X75)
        | ( 2 != b(X76) )
        | ( 5 != b(X75) )
        | ( 5 != a(X77) )
        | ( 10 != a(X76) )
        | ( 12 != a(X75) )
        | ( X76 = X77 )
        | ( X75 = X77 )
        | ( X75 = X76 ) )
    & ! [X78: $int,X79: $int,X80: $int] :
        ( ~ $less(X79,X78)
        | ( 2 != b(X79) )
        | ( 5 != b(X78) )
        | ( 4 != a(X80) )
        | ( 10 != a(X79) )
        | ( 1 != a(X78) )
        | ( X79 = X80 )
        | ( X78 = X80 )
        | ( X78 = X79 ) )
    & ! [X81: $int,X82: $int,X83: $int] :
        ( ~ $less(X82,X81)
        | ( 2 != b(X82) )
        | ( 5 != b(X81) )
        | ( 4 != a(X83) )
        | ( 10 != a(X82) )
        | ( 2 != a(X81) )
        | ( X82 = X83 )
        | ( X81 = X83 )
        | ( X81 = X82 ) )
    & ! [X84: $int,X85: $int,X86: $int] :
        ( ~ $less(X85,X84)
        | ( 2 != b(X85) )
        | ( 5 != b(X84) )
        | ( 6 != a(X86) )
        | ( 10 != a(X85) )
        | ( 12 != a(X84) )
        | ( X85 = X86 )
        | ( X84 = X86 )
        | ( X84 = X85 ) )
    & ! [X87: $int,X88: $int,X89: $int] :
        ( ~ $less(X88,X87)
        | ( 2 != b(X88) )
        | ( 5 != b(X87) )
        | ( 5 != a(X89) )
        | ( 10 != a(X88) )
        | ( 1 != a(X87) )
        | ( X88 = X89 )
        | ( X87 = X89 )
        | ( X87 = X88 ) )
    & ! [X90: $int,X91: $int,X92: $int,X93: $int] :
        ( ~ $less(X91,X90)
        | ( 5 != b(X93) )
        | ( 2 != b(X92) )
        | ~ $less(b(X91),3)
        | ( 7 != a(X92) )
        | ( 10 != a(X91) )
        | ( 12 != a(X90) )
        | ( X92 = X93 )
        | ( X91 = X93 )
        | ( X91 = X92 )
        | ( X90 = X93 )
        | ( X90 = X92 )
        | ( X90 = X91 ) )
    & ! [X94: $int,X95: $int,X96: $int] :
        ( ~ $less(X95,X94)
        | ( 2 != b(X96) )
        | ~ $less(b(X95),3)
        | ( 5 != b(X94) )
        | ( 7 != a(X96) )
        | ( 10 != a(X95) )
        | ( 12 != a(X94) )
        | ( X95 = X96 )
        | ( X94 = X96 )
        | ( X94 = X95 ) )
    & ! [X97: $int,X98: $int,X99: $int] :
        ( ~ $less(X98,X97)
        | ( 2 != b(X98) )
        | ( 5 != b(X97) )
        | ( 5 != a(X99) )
        | ( 10 != a(X98) )
        | ( 2 != a(X97) )
        | ( X98 = X99 )
        | ( X97 = X99 )
        | ( X97 = X98 ) )
    & ! [X100: $int,X101: $int,X102: $int,X103: $int] :
        ( ~ $less(X101,X100)
        | ( 5 != b(X103) )
        | ~ $less(b(X102),4)
        | ( 2 != b(X101) )
        | ( 7 != a(X102) )
        | ( 10 != a(X101) )
        | ( 12 != a(X100) )
        | ( X102 = X103 )
        | ( X101 = X103 )
        | ( X101 = X102 )
        | ( X100 = X103 )
        | ( X100 = X102 )
        | ( X100 = X101 ) )
    & ! [X104: $int,X105: $int,X106: $int] :
        ( ~ $less(X105,X104)
        | ~ $less(b(X106),4)
        | ( 2 != b(X105) )
        | ( 5 != b(X104) )
        | ( 7 != a(X106) )
        | ( 10 != a(X105) )
        | ( 12 != a(X104) )
        | ( X105 = X106 )
        | ( X104 = X106 )
        | ( X104 = X105 ) )
    & ! [X107: $int,X108: $int,X109: $int] :
        ( ~ $less(X108,X107)
        | ( 2 != b(X108) )
        | ( 5 != b(X107) )
        | ( 6 != a(X109) )
        | ( 10 != a(X108) )
        | ( 1 != a(X107) )
        | ( X108 = X109 )
        | ( X107 = X109 )
        | ( X107 = X108 ) )
    & ! [X110: $int,X111: $int,X112: $int] :
        ( ~ $less(X111,X110)
        | ( 2 != b(X112) )
        | ~ $less(b(X111),3)
        | ( 8 != a(X112) )
        | ( 10 != a(X111) )
        | ( 12 != a(X110) )
        | ( X111 = X112 )
        | ( X110 = X112 )
        | ( X110 = X111 ) )
    & ! [X113: $int,X114: $int,X115: $int,X116: $int] :
        ( ~ $less(X114,X113)
        | ( 5 != b(X116) )
        | ( 2 != b(X115) )
        | ~ $less(b(X114),3)
        | ( 7 != a(X115) )
        | ( 10 != a(X114) )
        | ( 1 != a(X113) )
        | ( X115 = X116 )
        | ( X114 = X116 )
        | ( X114 = X115 )
        | ( X113 = X116 )
        | ( X113 = X115 )
        | ( X113 = X114 ) )
    & ! [X117: $int,X118: $int,X119: $int] :
        ( ~ $less(X118,X117)
        | ( 2 != b(X119) )
        | ~ $less(b(X118),3)
        | ( 5 != b(X117) )
        | ( 7 != a(X119) )
        | ( 10 != a(X118) )
        | ( 1 != a(X117) )
        | ( X118 = X119 )
        | ( X117 = X119 )
        | ( X117 = X118 ) )
    & ! [X120: $int,X121: $int,X122: $int] :
        ( ~ $less(X121,X120)
        | ( 2 != b(X121) )
        | ( 5 != b(X120) )
        | ( 4 != a(X122) )
        | ( 10 != a(X121) )
        | ( 4 != a(X120) )
        | ( X121 = X122 )
        | ( X120 = X122 )
        | ( X120 = X121 ) )
    & ! [X123: $int,X124: $int,X125: $int] :
        ( ~ $less(X124,X123)
        | ( 2 != b(X124) )
        | ( 5 != b(X123) )
        | ( 6 != a(X125) )
        | ( 10 != a(X124) )
        | ( 2 != a(X123) )
        | ( X124 = X125 )
        | ( X123 = X125 )
        | ( X123 = X124 ) )
    & ! [X126: $int,X127: $int,X128: $int] :
        ( ~ $less(X127,X126)
        | ~ $less(b(X128),4)
        | ( 2 != b(X127) )
        | ( 8 != a(X128) )
        | ( 10 != a(X127) )
        | ( 12 != a(X126) )
        | ( X127 = X128 )
        | ( X126 = X128 )
        | ( X126 = X127 ) )
    & ! [X129: $int,X130: $int,X131: $int,X132: $int] :
        ( ~ $less(X130,X129)
        | ( 5 != b(X132) )
        | ~ $less(b(X131),4)
        | ( 2 != b(X130) )
        | ( 7 != a(X131) )
        | ( 10 != a(X130) )
        | ( 1 != a(X129) )
        | ( X131 = X132 )
        | ( X130 = X132 )
        | ( X130 = X131 )
        | ( X129 = X132 )
        | ( X129 = X131 )
        | ( X129 = X130 ) )
    & ! [X133: $int,X134: $int,X135: $int] :
        ( ~ $less(X134,X133)
        | ~ $less(b(X135),4)
        | ( 2 != b(X134) )
        | ( 5 != b(X133) )
        | ( 7 != a(X135) )
        | ( 10 != a(X134) )
        | ( 1 != a(X133) )
        | ( X134 = X135 )
        | ( X133 = X135 )
        | ( X133 = X134 ) )
    & ! [X136: $int,X137: $int,X138: $int,X139: $int] :
        ( ~ $less(X137,X136)
        | ( 5 != b(X139) )
        | ( 2 != b(X138) )
        | ~ $less(b(X137),3)
        | ( 7 != a(X138) )
        | ( 10 != a(X137) )
        | ( 2 != a(X136) )
        | ( X138 = X139 )
        | ( X137 = X139 )
        | ( X137 = X138 )
        | ( X136 = X139 )
        | ( X136 = X138 )
        | ( X136 = X137 ) )
    & ! [X140: $int,X141: $int,X142: $int] :
        ( ~ $less(X141,X140)
        | ( 2 != b(X142) )
        | ~ $less(b(X141),3)
        | ( 5 != b(X140) )
        | ( 7 != a(X142) )
        | ( 10 != a(X141) )
        | ( 2 != a(X140) )
        | ( X141 = X142 )
        | ( X140 = X142 )
        | ( X140 = X141 ) )
    & ! [X143: $int,X144: $int,X145: $int] :
        ( ~ $less(X144,X143)
        | ( 2 != b(X145) )
        | ~ $less(b(X144),3)
        | ( 8 != a(X145) )
        | ( 10 != a(X144) )
        | ( 1 != a(X143) )
        | ( X144 = X145 )
        | ( X143 = X145 )
        | ( X143 = X144 ) )
    & ! [X146: $int,X147: $int,X148: $int] :
        ( ~ $less(X147,X146)
        | ( 2 != b(X147) )
        | ( 5 != b(X146) )
        | ( 4 != a(X148) )
        | ( 10 != a(X147) )
        | ( 5 != a(X146) )
        | ( X147 = X148 )
        | ( X146 = X148 )
        | ( X146 = X147 ) )
    & ! [X149: $int,X150: $int,X151: $int] :
        ( ~ $less(X150,X149)
        | ( 2 != b(X150) )
        | ( 5 != b(X149) )
        | ( 5 != a(X151) )
        | ( 10 != a(X150) )
        | ( 4 != a(X149) )
        | ( X150 = X151 )
        | ( X149 = X151 )
        | ( X149 = X150 ) )
    & ! [X152: $int,X153: $int,X154: $int,X155: $int] :
        ( ~ $less(X153,X152)
        | ( 5 != b(X155) )
        | ~ $less(b(X154),4)
        | ( 2 != b(X153) )
        | ( 7 != a(X154) )
        | ( 10 != a(X153) )
        | ( 2 != a(X152) )
        | ( X154 = X155 )
        | ( X153 = X155 )
        | ( X153 = X154 )
        | ( X152 = X155 )
        | ( X152 = X154 )
        | ( X152 = X153 ) )
    & ! [X156: $int,X157: $int,X158: $int] :
        ( ~ $less(X157,X156)
        | ~ $less(b(X158),4)
        | ( 2 != b(X157) )
        | ( 5 != b(X156) )
        | ( 7 != a(X158) )
        | ( 10 != a(X157) )
        | ( 2 != a(X156) )
        | ( X157 = X158 )
        | ( X156 = X158 )
        | ( X156 = X157 ) )
    & ! [X159: $int,X160: $int,X161: $int] :
        ( ~ $less(X160,X159)
        | ~ $less(b(X161),4)
        | ( 2 != b(X160) )
        | ( 8 != a(X161) )
        | ( 10 != a(X160) )
        | ( 1 != a(X159) )
        | ( X160 = X161 )
        | ( X159 = X161 )
        | ( X159 = X160 ) )
    & ! [X162: $int,X163: $int,X164: $int] :
        ( ~ $less(X163,X162)
        | ( 2 != b(X163) )
        | ( 5 != b(X162) )
        | ( 4 != a(X164) )
        | ( 10 != a(X163) )
        | ( 6 != a(X162) )
        | ( X163 = X164 )
        | ( X162 = X164 )
        | ( X162 = X163 ) )
    & ! [X165: $int,X166: $int,X167: $int,X168: $int] :
        ( ~ $less(X166,X165)
        | ( 2 != b(X168) )
        | ( 2 != b(X167) )
        | ~ $less(b(X166),3)
        | ( 5 != b(X165) )
        | ( 5 != a(X167) )
        | ( 10 != a(X166) )
        | ( 5 != a(X165) )
        | ( X167 = X168 )
        | ( X166 = X168 )
        | ( X166 = X167 )
        | ( X165 = X168 )
        | ( X165 = X167 )
        | ( X165 = X166 ) )
    & ! [X169: $int,X170: $int,X171: $int,X172: $int] :
        ( ~ $less(X170,X169)
        | ( 5 != b(X172) )
        | ( 2 != b(X171) )
        | ~ $less(b(X170),3)
        | ~ $less(b(X169),4)
        | ( 7 != a(X171) )
        | ( 10 != a(X170) )
        | ( 3 != a(X169) )
        | ( X171 = X172 )
        | ( X170 = X172 )
        | ( X170 = X171 )
        | ( X169 = X172 )
        | ( X169 = X171 )
        | ( X169 = X170 ) )
    & ! [X173: $int,X174: $int,X175: $int] :
        ( ~ $less(X174,X173)
        | ( 2 != b(X175) )
        | ~ $less(b(X174),3)
        | ( 8 != a(X175) )
        | ( 10 != a(X174) )
        | ( 2 != a(X173) )
        | ( X174 = X175 )
        | ( X173 = X175 )
        | ( X173 = X174 ) )
    & ! [X176: $int,X177: $int,X178: $int] :
        ( ~ $less(X177,X176)
        | ( 2 != b(X177) )
        | ( 5 != b(X176) )
        | ( 5 != a(X178) )
        | ( 10 != a(X177) )
        | ( 5 != a(X176) )
        | ( X177 = X178 )
        | ( X176 = X178 )
        | ( X176 = X177 ) )
    & ! [X179: $int,X180: $int,X181: $int] :
        ( ~ $less(X180,X179)
        | ( 2 != b(X180) )
        | ( 5 != b(X179) )
        | ( 6 != a(X181) )
        | ( 10 != a(X180) )
        | ( 4 != a(X179) )
        | ( X180 = X181 )
        | ( X179 = X181 )
        | ( X179 = X180 ) )
    & ! [X182: $int,X183: $int,X184: $int,X185: $int] :
        ( ~ $less(X183,X182)
        | ( 5 != b(X185) )
        | ~ $less(b(X184),4)
        | ( 2 != b(X183) )
        | ~ $less(b(X182),4)
        | ( 7 != a(X184) )
        | ( 10 != a(X183) )
        | ( 3 != a(X182) )
        | ( X184 = X185 )
        | ( X183 = X185 )
        | ( X183 = X184 )
        | ( X182 = X185 )
        | ( X182 = X184 )
        | ( X182 = X183 ) )
    & ! [X186: $int,X187: $int,X188: $int] :
        ( ~ $less(X187,X186)
        | ~ $less(b(X188),4)
        | ( 2 != b(X187) )
        | ( 8 != a(X188) )
        | ( 10 != a(X187) )
        | ( 2 != a(X186) )
        | ( X187 = X188 )
        | ( X186 = X188 )
        | ( X186 = X187 ) )
    & ! [X189: $int,X190: $int,X191: $int] :
        ( ~ $less(X190,X189)
        | ( 2 != b(X190) )
        | ( 5 != b(X189) )
        | ( 4 != a(X191) )
        | ( 10 != a(X190) )
        | ( 7 != a(X189) )
        | ( X190 = X191 )
        | ( X189 = X191 )
        | ( X189 = X190 ) )
    & ! [X192: $int,X193: $int,X194: $int,X195: $int] :
        ( ~ $less(X193,X192)
        | ( 2 != b(X195) )
        | ~ $less(b(X193),3)
        | ( 5 != b(X192) )
        | ( 5 != a(X194) )
        | ( 10 != a(X193) )
        | ( 6 != a(X192) )
        | ( X194 = X195 )
        | ( X193 = X195 )
        | ( X193 = X194 )
        | ( X192 = X195 )
        | ( X192 = X194 )
        | ( X192 = X193 ) )
    & ! [X196: $int,X197: $int,X198: $int] :
        ( ~ $less(X197,X196)
        | ( 2 != b(X197) )
        | ( 5 != b(X196) )
        | ( 5 != a(X198) )
        | ( 10 != a(X197) )
        | ( 6 != a(X196) )
        | ( X197 = X198 )
        | ( X196 = X198 )
        | ( X196 = X197 ) )
    & ! [X199: $int,X200: $int,X201: $int,X202: $int] :
        ( ~ $less(X200,X199)
        | ( 2 != b(X202) )
        | ~ $less(b(X200),3)
        | ( 5 != b(X199) )
        | ( 6 != a(X201) )
        | ( 10 != a(X200) )
        | ( 5 != a(X199) )
        | ( X201 = X202 )
        | ( X200 = X202 )
        | ( X200 = X201 )
        | ( X199 = X202 )
        | ( X199 = X201 )
        | ( X199 = X200 ) )
    & ! [X203: $int,X204: $int,X205: $int] :
        ( ~ $less(X204,X203)
        | ( 2 != b(X205) )
        | ~ $less(b(X204),3)
        | ( 5 != b(X203) )
        | ( 6 != a(X205) )
        | ( 10 != a(X204) )
        | ( 5 != a(X203) )
        | ( X204 = X205 )
        | ( X203 = X205 )
        | ( X203 = X204 ) )
    & ! [X206: $int,X207: $int,X208: $int,X209: $int] :
        ( ~ $less(X207,X206)
        | ( 5 != b(X209) )
        | ( 2 != b(X208) )
        | ~ $less(b(X207),3)
        | ( 7 != a(X208) )
        | ( 10 != a(X207) )
        | ( 4 != a(X206) )
        | ( X208 = X209 )
        | ( X207 = X209 )
        | ( X207 = X208 )
        | ( X206 = X209 )
        | ( X206 = X208 )
        | ( X206 = X207 ) )
    & ! [X210: $int,X211: $int,X212: $int] :
        ( ~ $less(X211,X210)
        | ( 2 != b(X212) )
        | ~ $less(b(X211),3)
        | ( 5 != b(X210) )
        | ( 7 != a(X212) )
        | ( 10 != a(X211) )
        | ( 4 != a(X210) )
        | ( X211 = X212 )
        | ( X210 = X212 )
        | ( X210 = X211 ) )
    & ! [X213: $int,X214: $int,X215: $int] :
        ( ~ $less(X214,X213)
        | ( 2 != b(X215) )
        | ~ $less(b(X214),3)
        | ~ $less(b(X213),4)
        | ( 8 != a(X215) )
        | ( 10 != a(X214) )
        | ( 3 != a(X213) )
        | ( X214 = X215 )
        | ( X213 = X215 )
        | ( X213 = X214 ) )
    & ! [X216: $int,X217: $int,X218: $int] :
        ( ~ $less(X217,X216)
        | ( 2 != b(X217) )
        | ( 5 != b(X216) )
        | ( 6 != a(X218) )
        | ( 10 != a(X217) )
        | ( 5 != a(X216) )
        | ( X217 = X218 )
        | ( X216 = X218 )
        | ( X216 = X217 ) )
    & ! [X219: $int,X220: $int,X221: $int] :
        ( ~ $less(X220,X219)
        | ( 2 != b(X220) )
        | ( 5 != b(X219) )
        | ( 7 != a(X221) )
        | ( 10 != a(X220) )
        | ( 4 != a(X219) )
        | ( X220 = X221 )
        | ( X219 = X221 )
        | ( X219 = X220 ) )
    & ! [X222: $int,X223: $int,X224: $int] :
        ( ~ $less(X223,X222)
        | ~ $less(b(X224),4)
        | ( 2 != b(X223) )
        | ~ $less(b(X222),4)
        | ( 8 != a(X224) )
        | ( 10 != a(X223) )
        | ( 3 != a(X222) )
        | ( X223 = X224 )
        | ( X222 = X224 )
        | ( X222 = X223 ) )
    & ! [X225: $int,X226: $int,X227: $int,X228: $int] :
        ( ~ $less(X226,X225)
        | ( 2 != b(X228) )
        | ~ $less(b(X226),3)
        | ( 5 != b(X225) )
        | ( 5 != a(X227) )
        | ( 10 != a(X226) )
        | ( 7 != a(X225) )
        | ( X227 = X228 )
        | ( X226 = X228 )
        | ( X226 = X227 )
        | ( X225 = X228 )
        | ( X225 = X227 )
        | ( X225 = X226 ) )
    & ! [X229: $int,X230: $int,X231: $int] :
        ( ~ $less(X230,X229)
        | ( 2 != b(X230) )
        | ( 5 != b(X229) )
        | ( 5 != a(X231) )
        | ( 10 != a(X230) )
        | ( 7 != a(X229) )
        | ( X230 = X231 )
        | ( X229 = X231 )
        | ( X229 = X230 ) )
    & ! [X232: $int,X233: $int,X234: $int] :
        ( ~ $less(X233,X232)
        | ~ $less(b(X233),3)
        | ( 5 != b(X232) )
        | ( 6 != a(X234) )
        | ( 10 != a(X233) )
        | ( 6 != a(X232) )
        | ( X233 = X234 )
        | ( X232 = X234 )
        | ( X232 = X233 ) )
    & ! [X235: $int,X236: $int,X237: $int,X238: $int] :
        ( ~ $less(X236,X235)
        | ( 2 != b(X238) )
        | ~ $less(b(X236),3)
        | ( 5 != b(X235) )
        | ( 7 != a(X237) )
        | ( 10 != a(X236) )
        | ( 5 != a(X235) )
        | ( X237 = X238 )
        | ( X236 = X238 )
        | ( X236 = X237 )
        | ( X235 = X238 )
        | ( X235 = X237 )
        | ( X235 = X236 ) )
    & ! [X239: $int,X240: $int,X241: $int] :
        ( ~ $less(X240,X239)
        | ( 2 != b(X241) )
        | ~ $less(b(X240),3)
        | ( 5 != b(X239) )
        | ( 7 != a(X241) )
        | ( 10 != a(X240) )
        | ( 5 != a(X239) )
        | ( X240 = X241 )
        | ( X239 = X241 )
        | ( X239 = X240 ) )
    & ! [X242: $int,X243: $int,X244: $int] :
        ( ~ $less(X243,X242)
        | ( 2 != b(X244) )
        | ~ $less(b(X243),3)
        | ( 8 != a(X244) )
        | ( 10 != a(X243) )
        | ( 4 != a(X242) )
        | ( X243 = X244 )
        | ( X242 = X244 )
        | ( X242 = X243 ) )
    & ! [X245: $int,X246: $int,X247: $int] :
        ( ~ $less(X246,X245)
        | ( 2 != b(X246) )
        | ( 5 != b(X245) )
        | ( 7 != a(X247) )
        | ( 10 != a(X246) )
        | ( 5 != a(X245) )
        | ( X246 = X247 )
        | ( X245 = X247 )
        | ( X245 = X246 ) )
    & ! [X248: $int,X249: $int,X250: $int] :
        ( ~ $less(X249,X248)
        | ( 2 != b(X249) )
        | ( 8 != a(X250) )
        | ( 10 != a(X249) )
        | ( 4 != a(X248) )
        | ( X249 = X250 )
        | ( X248 = X250 )
        | ( X248 = X249 ) )
    & ! [X251: $int,X252: $int,X253: $int] :
        ( ~ $less(X252,X251)
        | ~ $less(b(X252),3)
        | ( 5 != b(X251) )
        | ( 6 != a(X253) )
        | ( 10 != a(X252) )
        | ( 7 != a(X251) )
        | ( X252 = X253 )
        | ( X251 = X253 )
        | ( X251 = X252 ) )
    & ! [X254: $int,X255: $int,X256: $int] :
        ( ~ $less(X255,X254)
        | ~ $less(b(X255),3)
        | ( 5 != b(X254) )
        | ( 7 != a(X256) )
        | ( 10 != a(X255) )
        | ( 6 != a(X254) )
        | ( X255 = X256 )
        | ( X254 = X256 )
        | ( X254 = X255 ) )
    & ! [X257: $int,X258: $int,X259: $int,X260: $int] :
        ( ~ $less(X258,X257)
        | ( 2 != b(X260) )
        | ~ $less(b(X258),3)
        | ( 8 != a(X259) )
        | ( 10 != a(X258) )
        | ( 5 != a(X257) )
        | ( X259 = X260 )
        | ( X258 = X260 )
        | ( X258 = X259 )
        | ( X257 = X260 )
        | ( X257 = X259 )
        | ( X257 = X258 ) )
    & ! [X261: $int,X262: $int,X263: $int] :
        ( ~ $less(X262,X261)
        | ( 2 != b(X263) )
        | ~ $less(b(X262),3)
        | ( 8 != a(X263) )
        | ( 10 != a(X262) )
        | ( 5 != a(X261) )
        | ( X262 = X263 )
        | ( X261 = X263 )
        | ( X261 = X262 ) )
    & ! [X264: $int,X265: $int,X266: $int] :
        ( ~ $less(X265,X264)
        | ( 2 != b(X265) )
        | ( 8 != a(X266) )
        | ( 10 != a(X265) )
        | ( 5 != a(X264) )
        | ( X265 = X266 )
        | ( X264 = X266 )
        | ( X264 = X265 ) )
    & ! [X267: $int,X268: $int,X269: $int] :
        ( ~ $less(X268,X267)
        | ( 5 != b(X269) )
        | ( 2 != b(X268) )
        | ( 10 != a(X268) )
        | ( 4 != a(X267) )
        | ( X268 = X269 )
        | ( X267 = X269 )
        | ( X267 = X268 ) )
    & ! [X270: $int,X271: $int,X272: $int] :
        ( ~ $less(X271,X270)
        | ~ $less(b(X271),3)
        | ( 5 != b(X270) )
        | ( 7 != a(X272) )
        | ( 10 != a(X271) )
        | ( 7 != a(X270) )
        | ( X271 = X272 )
        | ( X270 = X272 )
        | ( X270 = X271 ) )
    & ! [X273: $int,X274: $int,X275: $int] :
        ( ~ $less(X274,X273)
        | ~ $less(b(X274),3)
        | ( 8 != a(X275) )
        | ( 10 != a(X274) )
        | ( 6 != a(X273) )
        | ( X274 = X275 )
        | ( X273 = X275 )
        | ( X273 = X274 ) )
    & ! [X276: $int,X277: $int,X278: $int,X279: $int] :
        ( ~ $less(X277,X276)
        | ( 2 != b(X279) )
        | ( 5 != b(X278) )
        | ~ $less(b(X277),3)
        | ( 10 != a(X277) )
        | ( 5 != a(X276) )
        | ( X278 = X279 )
        | ( X277 = X279 )
        | ( X277 = X278 )
        | ( X276 = X279 )
        | ( X276 = X278 )
        | ( X276 = X277 ) )
    & ! [X280: $int,X281: $int,X282: $int] :
        ( ~ $less(X281,X280)
        | ( 5 != b(X282) )
        | ( 2 != b(X281) )
        | ( 10 != a(X281) )
        | ( 5 != a(X280) )
        | ( X281 = X282 )
        | ( X280 = X282 )
        | ( X280 = X281 ) )
    & ! [X283: $int,X284: $int,X285: $int] :
        ( ~ $less(X284,X283)
        | ~ $less(b(X284),3)
        | ( 8 != a(X285) )
        | ( 10 != a(X284) )
        | ( 7 != a(X283) )
        | ( X284 = X285 )
        | ( X283 = X285 )
        | ( X283 = X284 ) )
    & ! [X286: $int,X287: $int,X288: $int] :
        ( ~ $less(X287,X286)
        | ( 5 != b(X288) )
        | ~ $less(b(X287),3)
        | ( 10 != a(X287) )
        | ( 6 != a(X286) )
        | ( X287 = X288 )
        | ( X286 = X288 )
        | ( X286 = X287 ) )
    & ! [X289: $int,X290: $int,X291: $int] :
        ( ~ $less(X290,X289)
        | ( 5 != b(X291) )
        | ~ $less(b(X290),3)
        | ( 10 != a(X290) )
        | ( 7 != a(X289) )
        | ( X290 = X291 )
        | ( X289 = X291 )
        | ( X289 = X290 ) )
    & ! [X292: $int,X293: $int] :
        ( ~ $less(X293,X292)
        | ~ $less(b(X293),3)
        | ( 10 != a(X293) )
        | ( 8 != a(X292) )
        | ( X292 = X293 ) )
    & ! [X294: $int,X295: $int] :
        ( ~ $less(X295,X294)
        | ~ $less(b(X295),3)
        | ( 10 != a(X295) )
        | ( 9 != a(X294) )
        | ( X294 = X295 ) )
    & ! [X296: $int,X297: $int] :
        ( ( 10 != a(X297) )
        | ( 10 != a(X296) )
        | ( X296 = X297 ) )
    & ( z4 != z5 )
    & ( z3 != z5 )
    & ( z3 != z4 )
    & ( z2 != z5 )
    & ( z2 != z4 )
    & ( z2 != z3 )
    & ( z1 != z5 )
    & ( z1 != z4 )
    & ( z1 != z3 )
    & ( z1 != z2 )
    & ! [X298: $int] :
        ( ~ $less(5,b(X298))
        & ~ $less(b(X298),1) )
    & ! [X299: $int] :
        ( ~ $less(12,a(X299))
        & ~ $less(a(X299),1) ) ),
    inference(flattening,[],[f18]) ).

tff(f18,plain,
    ( $less(z2,z1)
    & ( 2 = b(z4) )
    & ( 2 = b(z3) )
    & $less(b(z2),3)
    & ( 5 = b(z1) )
    & ( 5 = a(z4) )
    & ( 6 = a(z3) )
    & ( 10 = a(z2) )
    & ( 5 = a(z1) )
    & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
        ( ~ $less(X1,X0)
        | ( 2 != b(X3) )
        | ~ $less(b(X1),3)
        | ( b(X0) != 5 )
        | ( 5 != a(X2) )
        | ( 10 != a(X1) )
        | ( a(X0) != 5 )
        | ( X2 = X3 )
        | ( X1 = X3 )
        | ( X1 = X2 )
        | ( X0 = X3 )
        | ( X0 = X2 )
        | ( X0 = X1 ) )
    & ! [X4: $int,X5: $int,X6: $int,X7: $int] :
        ( ~ $less(X5,X4)
        | ~ $less(b(X5),3)
        | ( 5 != b(X4) )
        | ( 2 != a(X7) )
        | ( 6 != a(X6) )
        | ( 10 != a(X5) )
        | ( 5 != a(X4) )
        | ( X6 = X7 )
        | ( X5 = X7 )
        | ( X5 = X6 )
        | ( X4 = X7 )
        | ( X4 = X6 )
        | ( X4 = X5 ) )
    & ! [X8: $int,X9: $int,X10: $int,X11: $int] :
        ( ~ $less(X9,X8)
        | ( 5 != b(X10) )
        | ~ $less(b(X9),3)
        | ( 12 != a(X11) )
        | ( 10 != a(X9) )
        | ( 5 != a(X8) )
        | ( X10 = X11 )
        | ( X9 = X11 )
        | ( X9 = X10 )
        | ( X8 = X11 )
        | ( X8 = X10 )
        | ( X8 = X9 ) )
    & ! [X12: $int,X13: $int,X14: $int,X15: $int] :
        ( ~ $less(X13,X12)
        | ( 5 != b(X14) )
        | ~ $less(b(X13),3)
        | ( 1 != a(X15) )
        | ( 10 != a(X13) )
        | ( 4 != a(X12) )
        | ( X14 = X15 )
        | ( X13 = X15 )
        | ( X13 = X14 )
        | ( X12 = X15 )
        | ( X12 = X14 )
        | ( X12 = X13 ) )
    & ! [X16: $int,X17: $int,X18: $int,X19: $int] :
        ( ~ $less(X17,X16)
        | ( 2 != b(X19) )
        | ~ $less(b(X17),3)
        | ( 5 != b(X16) )
        | ( 7 != a(X18) )
        | ( 10 != a(X17) )
        | ( 4 != a(X16) )
        | ( X18 = X19 )
        | ( X17 = X19 )
        | ( X17 = X18 )
        | ( X16 = X19 )
        | ( X16 = X18 )
        | ( X16 = X17 ) )
    & ! [X20: $int,X21: $int,X22: $int,X23: $int] :
        ( ~ $less(X21,X20)
        | ( 2 != b(X23) )
        | ~ $less(b(X22),4)
        | ~ $less(b(X21),3)
        | ~ $less(b(X20),4)
        | ( 8 != a(X22) )
        | ( 10 != a(X21) )
        | ( 3 != a(X20) )
        | ( X22 = X23 )
        | ( X21 = X23 )
        | ( X21 = X22 )
        | ( X20 = X23 )
        | ( X20 = X22 )
        | ( X20 = X21 ) )
    & ! [X24: $int,X25: $int,X26: $int,X27: $int] :
        ( ~ $less(X25,X24)
        | ( 5 != b(X27) )
        | ~ $less(b(X25),3)
        | ( 2 != a(X27) )
        | ( 7 != a(X26) )
        | ( 10 != a(X25) )
        | ( 5 != a(X24) )
        | ( X26 = X27 )
        | ( X25 = X27 )
        | ( X25 = X26 )
        | ( X24 = X27 )
        | ( X24 = X26 )
        | ( X24 = X25 ) )
    & ! [X28: $int,X29: $int,X30: $int,X31: $int] :
        ( ~ $less(X29,X28)
        | ~ $less(b(X29),3)
        | ( 2 != a(X31) )
        | ( 8 != a(X30) )
        | ( 10 != a(X29) )
        | ( 4 != a(X28) )
        | ( X30 = X31 )
        | ( X29 = X31 )
        | ( X29 = X30 )
        | ( X28 = X31 )
        | ( X28 = X30 )
        | ( X28 = X29 ) )
    & ! [X32: $int,X33: $int,X34: $int,X35: $int] :
        ( ~ $less(X33,X32)
        | ~ $less(b(X33),3)
        | ( 1 != a(X35) )
        | ( 8 != a(X34) )
        | ( 10 != a(X33) )
        | ( 5 != a(X32) )
        | ( X34 = X35 )
        | ( X33 = X35 )
        | ( X33 = X34 )
        | ( X32 = X35 )
        | ( X32 = X34 )
        | ( X32 = X33 ) )
    & ! [X36: $int,X37: $int,X38: $int,X39: $int] :
        ( ~ $less(X37,X36)
        | ( 2 != b(X39) )
        | ~ $less(b(X37),3)
        | ( 5 != b(X36) )
        | ( 4 != a(X38) )
        | ( 10 != a(X37) )
        | ( 7 != a(X36) )
        | ( X38 = X39 )
        | ( X37 = X39 )
        | ( X37 = X38 )
        | ( X36 = X39 )
        | ( X36 = X38 )
        | ( X36 = X37 ) )
    & ! [X40: $int,X41: $int,X42: $int,X43: $int] :
        ( ~ $less(X41,X40)
        | ~ $less(b(X41),3)
        | ( 5 != b(X40) )
        | ( 2 != a(X43) )
        | ( 5 != a(X42) )
        | ( 10 != a(X41) )
        | ( 7 != a(X40) )
        | ( X42 = X43 )
        | ( X41 = X43 )
        | ( X41 = X42 )
        | ( X40 = X43 )
        | ( X40 = X42 )
        | ( X40 = X41 ) )
    & ! [X44: $int,X45: $int,X46: $int,X47: $int] :
        ( ~ $less(X45,X44)
        | ~ $less(b(X45),3)
        | ( 5 != b(X44) )
        | ( 2 != a(X47) )
        | ( 7 != a(X46) )
        | ( 10 != a(X45) )
        | ( 5 != a(X44) )
        | ( X46 = X47 )
        | ( X45 = X47 )
        | ( X45 = X46 )
        | ( X44 = X47 )
        | ( X44 = X46 )
        | ( X44 = X45 ) )
    & ! [X48: $int,X49: $int,X50: $int,X51: $int] :
        ( ~ $less(X49,X48)
        | ( 5 != b(X50) )
        | ~ $less(b(X49),3)
        | ( 2 != a(X51) )
        | ( 10 != a(X49) )
        | ( 4 != a(X48) )
        | ( X50 = X51 )
        | ( X49 = X51 )
        | ( X49 = X50 )
        | ( X48 = X51 )
        | ( X48 = X50 )
        | ( X48 = X49 ) )
    & ! [X52: $int,X53: $int,X54: $int,X55: $int] :
        ( ~ $less(X53,X52)
        | ( 5 != b(X54) )
        | ~ $less(b(X53),3)
        | ( 1 != a(X55) )
        | ( 10 != a(X53) )
        | ( 5 != a(X52) )
        | ( X54 = X55 )
        | ( X53 = X55 )
        | ( X53 = X54 )
        | ( X52 = X55 )
        | ( X52 = X54 )
        | ( X52 = X53 ) )
    & ! [X56: $int,X57: $int,X58: $int,X59: $int] :
        ( ~ $less(X57,X56)
        | ( 2 != b(X59) )
        | ~ $less(b(X57),3)
        | ( 8 != a(X58) )
        | ( 10 != a(X57) )
        | ( 4 != a(X56) )
        | ( X58 = X59 )
        | ( X57 = X59 )
        | ( X57 = X58 )
        | ( X56 = X59 )
        | ( X56 = X58 )
        | ( X56 = X57 ) )
    & ! [X60: $int,X61: $int,X62: $int,X63: $int] :
        ( ~ $less(X61,X60)
        | ~ $less(b(X61),3)
        | ( 2 != a(X63) )
        | ( 8 != a(X62) )
        | ( 10 != a(X61) )
        | ( 5 != a(X60) )
        | ( X62 = X63 )
        | ( X61 = X63 )
        | ( X61 = X62 )
        | ( X60 = X63 )
        | ( X60 = X62 )
        | ( X60 = X61 ) )
    & ! [X64: $int,X65: $int,X66: $int,X67: $int] :
        ( ~ $less(X65,X64)
        | ( 2 != b(X67) )
        | ( 5 != b(X66) )
        | ~ $less(b(X65),3)
        | ( 10 != a(X65) )
        | ( 4 != a(X64) )
        | ( X66 = X67 )
        | ( X65 = X67 )
        | ( X65 = X66 )
        | ( X64 = X67 )
        | ( X64 = X66 )
        | ( X64 = X65 ) )
    & ! [X68: $int,X69: $int,X70: $int,X71: $int] :
        ( ~ $less(X69,X68)
        | ( 5 != b(X70) )
        | ~ $less(b(X69),3)
        | ( 2 != a(X71) )
        | ( 10 != a(X69) )
        | ( 5 != a(X68) )
        | ( X70 = X71 )
        | ( X69 = X71 )
        | ( X69 = X70 )
        | ( X68 = X71 )
        | ( X68 = X70 )
        | ( X68 = X69 ) )
    & ! [X72: $int,X73: $int,X74: $int] :
        ( ~ $less(X73,X72)
        | ( 2 != b(X73) )
        | ( 5 != b(X72) )
        | ( 4 != a(X74) )
        | ( 10 != a(X73) )
        | ( 12 != a(X72) )
        | ( X73 = X74 )
        | ( X72 = X74 )
        | ( X72 = X73 ) )
    & ! [X75: $int,X76: $int,X77: $int] :
        ( ~ $less(X76,X75)
        | ( 2 != b(X76) )
        | ( 5 != b(X75) )
        | ( 5 != a(X77) )
        | ( 10 != a(X76) )
        | ( 12 != a(X75) )
        | ( X76 = X77 )
        | ( X75 = X77 )
        | ( X75 = X76 ) )
    & ! [X78: $int,X79: $int,X80: $int] :
        ( ~ $less(X79,X78)
        | ( 2 != b(X79) )
        | ( 5 != b(X78) )
        | ( 4 != a(X80) )
        | ( 10 != a(X79) )
        | ( 1 != a(X78) )
        | ( X79 = X80 )
        | ( X78 = X80 )
        | ( X78 = X79 ) )
    & ! [X81: $int,X82: $int,X83: $int] :
        ( ~ $less(X82,X81)
        | ( 2 != b(X82) )
        | ( 5 != b(X81) )
        | ( 4 != a(X83) )
        | ( 10 != a(X82) )
        | ( 2 != a(X81) )
        | ( X82 = X83 )
        | ( X81 = X83 )
        | ( X81 = X82 ) )
    & ! [X84: $int,X85: $int,X86: $int] :
        ( ~ $less(X85,X84)
        | ( 2 != b(X85) )
        | ( 5 != b(X84) )
        | ( 6 != a(X86) )
        | ( 10 != a(X85) )
        | ( 12 != a(X84) )
        | ( X85 = X86 )
        | ( X84 = X86 )
        | ( X84 = X85 ) )
    & ! [X87: $int,X88: $int,X89: $int] :
        ( ~ $less(X88,X87)
        | ( 2 != b(X88) )
        | ( 5 != b(X87) )
        | ( 5 != a(X89) )
        | ( 10 != a(X88) )
        | ( 1 != a(X87) )
        | ( X88 = X89 )
        | ( X87 = X89 )
        | ( X87 = X88 ) )
    & ! [X90: $int,X91: $int,X92: $int,X93: $int] :
        ( ~ $less(X91,X90)
        | ( 5 != b(X93) )
        | ( 2 != b(X92) )
        | ~ $less(b(X91),3)
        | ( 7 != a(X92) )
        | ( 10 != a(X91) )
        | ( 12 != a(X90) )
        | ( X92 = X93 )
        | ( X91 = X93 )
        | ( X91 = X92 )
        | ( X90 = X93 )
        | ( X90 = X92 )
        | ( X90 = X91 ) )
    & ! [X94: $int,X95: $int,X96: $int] :
        ( ~ $less(X95,X94)
        | ( 2 != b(X96) )
        | ~ $less(b(X95),3)
        | ( 5 != b(X94) )
        | ( 7 != a(X96) )
        | ( 10 != a(X95) )
        | ( 12 != a(X94) )
        | ( X95 = X96 )
        | ( X94 = X96 )
        | ( X94 = X95 ) )
    & ! [X97: $int,X98: $int,X99: $int] :
        ( ~ $less(X98,X97)
        | ( 2 != b(X98) )
        | ( 5 != b(X97) )
        | ( 5 != a(X99) )
        | ( 10 != a(X98) )
        | ( 2 != a(X97) )
        | ( X98 = X99 )
        | ( X97 = X99 )
        | ( X97 = X98 ) )
    & ! [X100: $int,X101: $int,X102: $int,X103: $int] :
        ( ~ $less(X101,X100)
        | ( 5 != b(X103) )
        | ~ $less(b(X102),4)
        | ( 2 != b(X101) )
        | ( 7 != a(X102) )
        | ( 10 != a(X101) )
        | ( 12 != a(X100) )
        | ( X102 = X103 )
        | ( X101 = X103 )
        | ( X101 = X102 )
        | ( X100 = X103 )
        | ( X100 = X102 )
        | ( X100 = X101 ) )
    & ! [X104: $int,X105: $int,X106: $int] :
        ( ~ $less(X105,X104)
        | ~ $less(b(X106),4)
        | ( 2 != b(X105) )
        | ( 5 != b(X104) )
        | ( 7 != a(X106) )
        | ( 10 != a(X105) )
        | ( 12 != a(X104) )
        | ( X105 = X106 )
        | ( X104 = X106 )
        | ( X104 = X105 ) )
    & ! [X107: $int,X108: $int,X109: $int] :
        ( ~ $less(X108,X107)
        | ( 2 != b(X108) )
        | ( 5 != b(X107) )
        | ( 6 != a(X109) )
        | ( 10 != a(X108) )
        | ( 1 != a(X107) )
        | ( X108 = X109 )
        | ( X107 = X109 )
        | ( X107 = X108 ) )
    & ! [X110: $int,X111: $int,X112: $int] :
        ( ~ $less(X111,X110)
        | ( 2 != b(X112) )
        | ~ $less(b(X111),3)
        | ( 8 != a(X112) )
        | ( 10 != a(X111) )
        | ( 12 != a(X110) )
        | ( X111 = X112 )
        | ( X110 = X112 )
        | ( X110 = X111 ) )
    & ! [X113: $int,X114: $int,X115: $int,X116: $int] :
        ( ~ $less(X114,X113)
        | ( 5 != b(X116) )
        | ( 2 != b(X115) )
        | ~ $less(b(X114),3)
        | ( 7 != a(X115) )
        | ( 10 != a(X114) )
        | ( 1 != a(X113) )
        | ( X115 = X116 )
        | ( X114 = X116 )
        | ( X114 = X115 )
        | ( X113 = X116 )
        | ( X113 = X115 )
        | ( X113 = X114 ) )
    & ! [X117: $int,X118: $int,X119: $int] :
        ( ~ $less(X118,X117)
        | ( 2 != b(X119) )
        | ~ $less(b(X118),3)
        | ( 5 != b(X117) )
        | ( 7 != a(X119) )
        | ( 10 != a(X118) )
        | ( 1 != a(X117) )
        | ( X118 = X119 )
        | ( X117 = X119 )
        | ( X117 = X118 ) )
    & ! [X120: $int,X121: $int,X122: $int] :
        ( ~ $less(X121,X120)
        | ( 2 != b(X121) )
        | ( 5 != b(X120) )
        | ( 4 != a(X122) )
        | ( 10 != a(X121) )
        | ( 4 != a(X120) )
        | ( X121 = X122 )
        | ( X120 = X122 )
        | ( X120 = X121 ) )
    & ! [X123: $int,X124: $int,X125: $int] :
        ( ~ $less(X124,X123)
        | ( 2 != b(X124) )
        | ( 5 != b(X123) )
        | ( 6 != a(X125) )
        | ( 10 != a(X124) )
        | ( 2 != a(X123) )
        | ( X124 = X125 )
        | ( X123 = X125 )
        | ( X123 = X124 ) )
    & ! [X126: $int,X127: $int,X128: $int] :
        ( ~ $less(X127,X126)
        | ~ $less(b(X128),4)
        | ( 2 != b(X127) )
        | ( 8 != a(X128) )
        | ( 10 != a(X127) )
        | ( 12 != a(X126) )
        | ( X127 = X128 )
        | ( X126 = X128 )
        | ( X126 = X127 ) )
    & ! [X129: $int,X130: $int,X131: $int,X132: $int] :
        ( ~ $less(X130,X129)
        | ( 5 != b(X132) )
        | ~ $less(b(X131),4)
        | ( 2 != b(X130) )
        | ( 7 != a(X131) )
        | ( 10 != a(X130) )
        | ( 1 != a(X129) )
        | ( X131 = X132 )
        | ( X130 = X132 )
        | ( X130 = X131 )
        | ( X129 = X132 )
        | ( X129 = X131 )
        | ( X129 = X130 ) )
    & ! [X133: $int,X134: $int,X135: $int] :
        ( ~ $less(X134,X133)
        | ~ $less(b(X135),4)
        | ( 2 != b(X134) )
        | ( 5 != b(X133) )
        | ( 7 != a(X135) )
        | ( 10 != a(X134) )
        | ( 1 != a(X133) )
        | ( X134 = X135 )
        | ( X133 = X135 )
        | ( X133 = X134 ) )
    & ! [X136: $int,X137: $int,X138: $int,X139: $int] :
        ( ~ $less(X137,X136)
        | ( 5 != b(X139) )
        | ( 2 != b(X138) )
        | ~ $less(b(X137),3)
        | ( 7 != a(X138) )
        | ( 10 != a(X137) )
        | ( 2 != a(X136) )
        | ( X138 = X139 )
        | ( X137 = X139 )
        | ( X137 = X138 )
        | ( X136 = X139 )
        | ( X136 = X138 )
        | ( X136 = X137 ) )
    & ! [X140: $int,X141: $int,X142: $int] :
        ( ~ $less(X141,X140)
        | ( 2 != b(X142) )
        | ~ $less(b(X141),3)
        | ( 5 != b(X140) )
        | ( 7 != a(X142) )
        | ( 10 != a(X141) )
        | ( 2 != a(X140) )
        | ( X141 = X142 )
        | ( X140 = X142 )
        | ( X140 = X141 ) )
    & ! [X143: $int,X144: $int,X145: $int] :
        ( ~ $less(X144,X143)
        | ( 2 != b(X145) )
        | ~ $less(b(X144),3)
        | ( 8 != a(X145) )
        | ( 10 != a(X144) )
        | ( 1 != a(X143) )
        | ( X144 = X145 )
        | ( X143 = X145 )
        | ( X143 = X144 ) )
    & ! [X146: $int,X147: $int,X148: $int] :
        ( ~ $less(X147,X146)
        | ( 2 != b(X147) )
        | ( 5 != b(X146) )
        | ( 4 != a(X148) )
        | ( 10 != a(X147) )
        | ( 5 != a(X146) )
        | ( X147 = X148 )
        | ( X146 = X148 )
        | ( X146 = X147 ) )
    & ! [X149: $int,X150: $int,X151: $int] :
        ( ~ $less(X150,X149)
        | ( 2 != b(X150) )
        | ( 5 != b(X149) )
        | ( 5 != a(X151) )
        | ( 10 != a(X150) )
        | ( 4 != a(X149) )
        | ( X150 = X151 )
        | ( X149 = X151 )
        | ( X149 = X150 ) )
    & ! [X152: $int,X153: $int,X154: $int,X155: $int] :
        ( ~ $less(X153,X152)
        | ( 5 != b(X155) )
        | ~ $less(b(X154),4)
        | ( 2 != b(X153) )
        | ( 7 != a(X154) )
        | ( 10 != a(X153) )
        | ( 2 != a(X152) )
        | ( X154 = X155 )
        | ( X153 = X155 )
        | ( X153 = X154 )
        | ( X152 = X155 )
        | ( X152 = X154 )
        | ( X152 = X153 ) )
    & ! [X156: $int,X157: $int,X158: $int] :
        ( ~ $less(X157,X156)
        | ~ $less(b(X158),4)
        | ( 2 != b(X157) )
        | ( 5 != b(X156) )
        | ( 7 != a(X158) )
        | ( 10 != a(X157) )
        | ( 2 != a(X156) )
        | ( X157 = X158 )
        | ( X156 = X158 )
        | ( X156 = X157 ) )
    & ! [X159: $int,X160: $int,X161: $int] :
        ( ~ $less(X160,X159)
        | ~ $less(b(X161),4)
        | ( 2 != b(X160) )
        | ( 8 != a(X161) )
        | ( 10 != a(X160) )
        | ( 1 != a(X159) )
        | ( X160 = X161 )
        | ( X159 = X161 )
        | ( X159 = X160 ) )
    & ! [X162: $int,X163: $int,X164: $int] :
        ( ~ $less(X163,X162)
        | ( 2 != b(X163) )
        | ( 5 != b(X162) )
        | ( 4 != a(X164) )
        | ( 10 != a(X163) )
        | ( 6 != a(X162) )
        | ( X163 = X164 )
        | ( X162 = X164 )
        | ( X162 = X163 ) )
    & ! [X165: $int,X166: $int,X167: $int,X168: $int] :
        ( ~ $less(X166,X165)
        | ( 2 != b(X168) )
        | ( 2 != b(X167) )
        | ~ $less(b(X166),3)
        | ( 5 != b(X165) )
        | ( 5 != a(X167) )
        | ( 10 != a(X166) )
        | ( 5 != a(X165) )
        | ( X167 = X168 )
        | ( X166 = X168 )
        | ( X166 = X167 )
        | ( X165 = X168 )
        | ( X165 = X167 )
        | ( X165 = X166 ) )
    & ! [X169: $int,X170: $int,X171: $int,X172: $int] :
        ( ~ $less(X170,X169)
        | ( 5 != b(X172) )
        | ( 2 != b(X171) )
        | ~ $less(b(X170),3)
        | ~ $less(b(X169),4)
        | ( 7 != a(X171) )
        | ( 10 != a(X170) )
        | ( 3 != a(X169) )
        | ( X171 = X172 )
        | ( X170 = X172 )
        | ( X170 = X171 )
        | ( X169 = X172 )
        | ( X169 = X171 )
        | ( X169 = X170 ) )
    & ! [X173: $int,X174: $int,X175: $int] :
        ( ~ $less(X174,X173)
        | ( 2 != b(X175) )
        | ~ $less(b(X174),3)
        | ( 8 != a(X175) )
        | ( 10 != a(X174) )
        | ( 2 != a(X173) )
        | ( X174 = X175 )
        | ( X173 = X175 )
        | ( X173 = X174 ) )
    & ! [X176: $int,X177: $int,X178: $int] :
        ( ~ $less(X177,X176)
        | ( 2 != b(X177) )
        | ( 5 != b(X176) )
        | ( 5 != a(X178) )
        | ( 10 != a(X177) )
        | ( 5 != a(X176) )
        | ( X177 = X178 )
        | ( X176 = X178 )
        | ( X176 = X177 ) )
    & ! [X179: $int,X180: $int,X181: $int] :
        ( ~ $less(X180,X179)
        | ( 2 != b(X180) )
        | ( 5 != b(X179) )
        | ( 6 != a(X181) )
        | ( 10 != a(X180) )
        | ( 4 != a(X179) )
        | ( X180 = X181 )
        | ( X179 = X181 )
        | ( X179 = X180 ) )
    & ! [X182: $int,X183: $int,X184: $int,X185: $int] :
        ( ~ $less(X183,X182)
        | ( 5 != b(X185) )
        | ~ $less(b(X184),4)
        | ( 2 != b(X183) )
        | ~ $less(b(X182),4)
        | ( 7 != a(X184) )
        | ( 10 != a(X183) )
        | ( 3 != a(X182) )
        | ( X184 = X185 )
        | ( X183 = X185 )
        | ( X183 = X184 )
        | ( X182 = X185 )
        | ( X182 = X184 )
        | ( X182 = X183 ) )
    & ! [X186: $int,X187: $int,X188: $int] :
        ( ~ $less(X187,X186)
        | ~ $less(b(X188),4)
        | ( 2 != b(X187) )
        | ( 8 != a(X188) )
        | ( 10 != a(X187) )
        | ( 2 != a(X186) )
        | ( X187 = X188 )
        | ( X186 = X188 )
        | ( X186 = X187 ) )
    & ! [X189: $int,X190: $int,X191: $int] :
        ( ~ $less(X190,X189)
        | ( 2 != b(X190) )
        | ( 5 != b(X189) )
        | ( 4 != a(X191) )
        | ( 10 != a(X190) )
        | ( 7 != a(X189) )
        | ( X190 = X191 )
        | ( X189 = X191 )
        | ( X189 = X190 ) )
    & ! [X192: $int,X193: $int,X194: $int,X195: $int] :
        ( ~ $less(X193,X192)
        | ( 2 != b(X195) )
        | ~ $less(b(X193),3)
        | ( 5 != b(X192) )
        | ( 5 != a(X194) )
        | ( 10 != a(X193) )
        | ( 6 != a(X192) )
        | ( X194 = X195 )
        | ( X193 = X195 )
        | ( X193 = X194 )
        | ( X192 = X195 )
        | ( X192 = X194 )
        | ( X192 = X193 ) )
    & ! [X196: $int,X197: $int,X198: $int] :
        ( ~ $less(X197,X196)
        | ( 2 != b(X197) )
        | ( 5 != b(X196) )
        | ( 5 != a(X198) )
        | ( 10 != a(X197) )
        | ( 6 != a(X196) )
        | ( X197 = X198 )
        | ( X196 = X198 )
        | ( X196 = X197 ) )
    & ! [X199: $int,X200: $int,X201: $int,X202: $int] :
        ( ~ $less(X200,X199)
        | ( 2 != b(X202) )
        | ~ $less(b(X200),3)
        | ( 5 != b(X199) )
        | ( 6 != a(X201) )
        | ( 10 != a(X200) )
        | ( 5 != a(X199) )
        | ( X201 = X202 )
        | ( X200 = X202 )
        | ( X200 = X201 )
        | ( X199 = X202 )
        | ( X199 = X201 )
        | ( X199 = X200 ) )
    & ! [X203: $int,X204: $int,X205: $int] :
        ( ~ $less(X204,X203)
        | ( 2 != b(X205) )
        | ~ $less(b(X204),3)
        | ( 5 != b(X203) )
        | ( 6 != a(X205) )
        | ( 10 != a(X204) )
        | ( 5 != a(X203) )
        | ( X204 = X205 )
        | ( X203 = X205 )
        | ( X203 = X204 ) )
    & ! [X206: $int,X207: $int,X208: $int,X209: $int] :
        ( ~ $less(X207,X206)
        | ( 5 != b(X209) )
        | ( 2 != b(X208) )
        | ~ $less(b(X207),3)
        | ( 7 != a(X208) )
        | ( 10 != a(X207) )
        | ( 4 != a(X206) )
        | ( X208 = X209 )
        | ( X207 = X209 )
        | ( X207 = X208 )
        | ( X206 = X209 )
        | ( X206 = X208 )
        | ( X206 = X207 ) )
    & ! [X210: $int,X211: $int,X212: $int] :
        ( ~ $less(X211,X210)
        | ( 2 != b(X212) )
        | ~ $less(b(X211),3)
        | ( 5 != b(X210) )
        | ( 7 != a(X212) )
        | ( 10 != a(X211) )
        | ( 4 != a(X210) )
        | ( X211 = X212 )
        | ( X210 = X212 )
        | ( X210 = X211 ) )
    & ! [X213: $int,X214: $int,X215: $int] :
        ( ~ $less(X214,X213)
        | ( 2 != b(X215) )
        | ~ $less(b(X214),3)
        | ~ $less(b(X213),4)
        | ( 8 != a(X215) )
        | ( 10 != a(X214) )
        | ( 3 != a(X213) )
        | ( X214 = X215 )
        | ( X213 = X215 )
        | ( X213 = X214 ) )
    & ! [X216: $int,X217: $int,X218: $int] :
        ( ~ $less(X217,X216)
        | ( 2 != b(X217) )
        | ( 5 != b(X216) )
        | ( 6 != a(X218) )
        | ( 10 != a(X217) )
        | ( 5 != a(X216) )
        | ( X217 = X218 )
        | ( X216 = X218 )
        | ( X216 = X217 ) )
    & ! [X219: $int,X220: $int,X221: $int] :
        ( ~ $less(X220,X219)
        | ( 2 != b(X220) )
        | ( 5 != b(X219) )
        | ( 7 != a(X221) )
        | ( 10 != a(X220) )
        | ( 4 != a(X219) )
        | ( X220 = X221 )
        | ( X219 = X221 )
        | ( X219 = X220 ) )
    & ! [X222: $int,X223: $int,X224: $int] :
        ( ~ $less(X223,X222)
        | ~ $less(b(X224),4)
        | ( 2 != b(X223) )
        | ~ $less(b(X222),4)
        | ( 8 != a(X224) )
        | ( 10 != a(X223) )
        | ( 3 != a(X222) )
        | ( X223 = X224 )
        | ( X222 = X224 )
        | ( X222 = X223 ) )
    & ! [X225: $int,X226: $int,X227: $int,X228: $int] :
        ( ~ $less(X226,X225)
        | ( 2 != b(X228) )
        | ~ $less(b(X226),3)
        | ( 5 != b(X225) )
        | ( 5 != a(X227) )
        | ( 10 != a(X226) )
        | ( 7 != a(X225) )
        | ( X227 = X228 )
        | ( X226 = X228 )
        | ( X226 = X227 )
        | ( X225 = X228 )
        | ( X225 = X227 )
        | ( X225 = X226 ) )
    & ! [X229: $int,X230: $int,X231: $int] :
        ( ~ $less(X230,X229)
        | ( 2 != b(X230) )
        | ( 5 != b(X229) )
        | ( 5 != a(X231) )
        | ( 10 != a(X230) )
        | ( 7 != a(X229) )
        | ( X230 = X231 )
        | ( X229 = X231 )
        | ( X229 = X230 ) )
    & ! [X232: $int,X233: $int,X234: $int] :
        ( ~ $less(X233,X232)
        | ~ $less(b(X233),3)
        | ( 5 != b(X232) )
        | ( 6 != a(X234) )
        | ( 10 != a(X233) )
        | ( 6 != a(X232) )
        | ( X233 = X234 )
        | ( X232 = X234 )
        | ( X232 = X233 ) )
    & ! [X235: $int,X236: $int,X237: $int,X238: $int] :
        ( ~ $less(X236,X235)
        | ( 2 != b(X238) )
        | ~ $less(b(X236),3)
        | ( 5 != b(X235) )
        | ( 7 != a(X237) )
        | ( 10 != a(X236) )
        | ( 5 != a(X235) )
        | ( X237 = X238 )
        | ( X236 = X238 )
        | ( X236 = X237 )
        | ( X235 = X238 )
        | ( X235 = X237 )
        | ( X235 = X236 ) )
    & ! [X239: $int,X240: $int,X241: $int] :
        ( ~ $less(X240,X239)
        | ( 2 != b(X241) )
        | ~ $less(b(X240),3)
        | ( 5 != b(X239) )
        | ( 7 != a(X241) )
        | ( 10 != a(X240) )
        | ( 5 != a(X239) )
        | ( X240 = X241 )
        | ( X239 = X241 )
        | ( X239 = X240 ) )
    & ! [X242: $int,X243: $int,X244: $int] :
        ( ~ $less(X243,X242)
        | ( 2 != b(X244) )
        | ~ $less(b(X243),3)
        | ( 8 != a(X244) )
        | ( 10 != a(X243) )
        | ( 4 != a(X242) )
        | ( X243 = X244 )
        | ( X242 = X244 )
        | ( X242 = X243 ) )
    & ! [X245: $int,X246: $int,X247: $int] :
        ( ~ $less(X246,X245)
        | ( 2 != b(X246) )
        | ( 5 != b(X245) )
        | ( 7 != a(X247) )
        | ( 10 != a(X246) )
        | ( 5 != a(X245) )
        | ( X246 = X247 )
        | ( X245 = X247 )
        | ( X245 = X246 ) )
    & ! [X248: $int,X249: $int,X250: $int] :
        ( ~ $less(X249,X248)
        | ( 2 != b(X249) )
        | ( 8 != a(X250) )
        | ( 10 != a(X249) )
        | ( 4 != a(X248) )
        | ( X249 = X250 )
        | ( X248 = X250 )
        | ( X248 = X249 ) )
    & ! [X251: $int,X252: $int,X253: $int] :
        ( ~ $less(X252,X251)
        | ~ $less(b(X252),3)
        | ( 5 != b(X251) )
        | ( 6 != a(X253) )
        | ( 10 != a(X252) )
        | ( 7 != a(X251) )
        | ( X252 = X253 )
        | ( X251 = X253 )
        | ( X251 = X252 ) )
    & ! [X254: $int,X255: $int,X256: $int] :
        ( ~ $less(X255,X254)
        | ~ $less(b(X255),3)
        | ( 5 != b(X254) )
        | ( 7 != a(X256) )
        | ( 10 != a(X255) )
        | ( 6 != a(X254) )
        | ( X255 = X256 )
        | ( X254 = X256 )
        | ( X254 = X255 ) )
    & ! [X257: $int,X258: $int,X259: $int,X260: $int] :
        ( ~ $less(X258,X257)
        | ( 2 != b(X260) )
        | ~ $less(b(X258),3)
        | ( 8 != a(X259) )
        | ( 10 != a(X258) )
        | ( 5 != a(X257) )
        | ( X259 = X260 )
        | ( X258 = X260 )
        | ( X258 = X259 )
        | ( X257 = X260 )
        | ( X257 = X259 )
        | ( X257 = X258 ) )
    & ! [X261: $int,X262: $int,X263: $int] :
        ( ~ $less(X262,X261)
        | ( 2 != b(X263) )
        | ~ $less(b(X262),3)
        | ( 8 != a(X263) )
        | ( 10 != a(X262) )
        | ( 5 != a(X261) )
        | ( X262 = X263 )
        | ( X261 = X263 )
        | ( X261 = X262 ) )
    & ! [X264: $int,X265: $int,X266: $int] :
        ( ~ $less(X265,X264)
        | ( 2 != b(X265) )
        | ( 8 != a(X266) )
        | ( 10 != a(X265) )
        | ( 5 != a(X264) )
        | ( X265 = X266 )
        | ( X264 = X266 )
        | ( X264 = X265 ) )
    & ! [X267: $int,X268: $int,X269: $int] :
        ( ~ $less(X268,X267)
        | ( 5 != b(X269) )
        | ( 2 != b(X268) )
        | ( 10 != a(X268) )
        | ( 4 != a(X267) )
        | ( X268 = X269 )
        | ( X267 = X269 )
        | ( X267 = X268 ) )
    & ! [X270: $int,X271: $int,X272: $int] :
        ( ~ $less(X271,X270)
        | ~ $less(b(X271),3)
        | ( 5 != b(X270) )
        | ( 7 != a(X272) )
        | ( 10 != a(X271) )
        | ( 7 != a(X270) )
        | ( X271 = X272 )
        | ( X270 = X272 )
        | ( X270 = X271 ) )
    & ! [X273: $int,X274: $int,X275: $int] :
        ( ~ $less(X274,X273)
        | ~ $less(b(X274),3)
        | ( 8 != a(X275) )
        | ( 10 != a(X274) )
        | ( 6 != a(X273) )
        | ( X274 = X275 )
        | ( X273 = X275 )
        | ( X273 = X274 ) )
    & ! [X276: $int,X277: $int,X278: $int,X279: $int] :
        ( ~ $less(X277,X276)
        | ( 2 != b(X279) )
        | ( 5 != b(X278) )
        | ~ $less(b(X277),3)
        | ( 10 != a(X277) )
        | ( 5 != a(X276) )
        | ( X278 = X279 )
        | ( X277 = X279 )
        | ( X277 = X278 )
        | ( X276 = X279 )
        | ( X276 = X278 )
        | ( X276 = X277 ) )
    & ! [X280: $int,X281: $int,X282: $int] :
        ( ~ $less(X281,X280)
        | ( 5 != b(X282) )
        | ( 2 != b(X281) )
        | ( 10 != a(X281) )
        | ( 5 != a(X280) )
        | ( X281 = X282 )
        | ( X280 = X282 )
        | ( X280 = X281 ) )
    & ! [X283: $int,X284: $int,X285: $int] :
        ( ~ $less(X284,X283)
        | ~ $less(b(X284),3)
        | ( 8 != a(X285) )
        | ( 10 != a(X284) )
        | ( 7 != a(X283) )
        | ( X284 = X285 )
        | ( X283 = X285 )
        | ( X283 = X284 ) )
    & ! [X286: $int,X287: $int,X288: $int] :
        ( ~ $less(X287,X286)
        | ( 5 != b(X288) )
        | ~ $less(b(X287),3)
        | ( 10 != a(X287) )
        | ( 6 != a(X286) )
        | ( X287 = X288 )
        | ( X286 = X288 )
        | ( X286 = X287 ) )
    & ! [X289: $int,X290: $int,X291: $int] :
        ( ~ $less(X290,X289)
        | ( 5 != b(X291) )
        | ~ $less(b(X290),3)
        | ( 10 != a(X290) )
        | ( 7 != a(X289) )
        | ( X290 = X291 )
        | ( X289 = X291 )
        | ( X289 = X290 ) )
    & ! [X292: $int,X293: $int] :
        ( ~ $less(X293,X292)
        | ~ $less(b(X293),3)
        | ( 10 != a(X293) )
        | ( 8 != a(X292) )
        | ( X292 = X293 ) )
    & ! [X294: $int,X295: $int] :
        ( ~ $less(X295,X294)
        | ~ $less(b(X295),3)
        | ( 10 != a(X295) )
        | ( 9 != a(X294) )
        | ( X294 = X295 ) )
    & ! [X296: $int,X297: $int] :
        ( ( 10 != a(X297) )
        | ( 10 != a(X296) )
        | ( X296 = X297 ) )
    & ( z4 != z5 )
    & ( z3 != z5 )
    & ( z3 != z4 )
    & ( z2 != z5 )
    & ( z2 != z4 )
    & ( z2 != z3 )
    & ( z1 != z5 )
    & ( z1 != z4 )
    & ( z1 != z3 )
    & ( z1 != z2 )
    & ! [X298: $int] :
        ( ~ $less(5,b(X298))
        & ~ $less(b(X298),1) )
    & ! [X299: $int] :
        ( ~ $less(12,a(X299))
        & ~ $less(a(X299),1) ) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f17,plain,
    ~ ( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
            ~ ( $less(X1,X0)
              & ( 2 = b(X3) )
              & $less(b(X1),3)
              & ( b(X0) = 5 )
              & ( 5 = a(X2) )
              & ( 10 = a(X1) )
              & ( a(X0) = 5 )
              & ( X2 != X3 )
              & ( X1 != X3 )
              & ( X1 != X2 )
              & ( X0 != X3 )
              & ( X0 != X2 )
              & ( X0 != X1 ) )
        & ! [X4: $int,X5: $int,X6: $int,X7: $int] :
            ~ ( $less(X5,X4)
              & $less(b(X5),3)
              & ( 5 = b(X4) )
              & ( 2 = a(X7) )
              & ( 6 = a(X6) )
              & ( 10 = a(X5) )
              & ( 5 = a(X4) )
              & ( X6 != X7 )
              & ( X5 != X7 )
              & ( X5 != X6 )
              & ( X4 != X7 )
              & ( X4 != X6 )
              & ( X4 != X5 ) )
        & ! [X8: $int,X9: $int,X10: $int,X11: $int] :
            ~ ( $less(X9,X8)
              & ( 5 = b(X10) )
              & $less(b(X9),3)
              & ( 12 = a(X11) )
              & ( 10 = a(X9) )
              & ( 5 = a(X8) )
              & ( X10 != X11 )
              & ( X9 != X11 )
              & ( X9 != X10 )
              & ( X8 != X11 )
              & ( X8 != X10 )
              & ( X8 != X9 ) )
        & ! [X12: $int,X13: $int,X14: $int,X15: $int] :
            ~ ( $less(X13,X12)
              & ( 5 = b(X14) )
              & $less(b(X13),3)
              & ( 1 = a(X15) )
              & ( 10 = a(X13) )
              & ( 4 = a(X12) )
              & ( X14 != X15 )
              & ( X13 != X15 )
              & ( X13 != X14 )
              & ( X12 != X15 )
              & ( X12 != X14 )
              & ( X12 != X13 ) )
        & ! [X16: $int,X17: $int,X18: $int,X19: $int] :
            ~ ( $less(X17,X16)
              & ( 2 = b(X19) )
              & $less(b(X17),3)
              & ( 5 = b(X16) )
              & ( 7 = a(X18) )
              & ( 10 = a(X17) )
              & ( 4 = a(X16) )
              & ( X18 != X19 )
              & ( X17 != X19 )
              & ( X17 != X18 )
              & ( X16 != X19 )
              & ( X16 != X18 )
              & ( X16 != X17 ) )
        & ! [X20: $int,X21: $int,X22: $int,X23: $int] :
            ~ ( $less(X21,X20)
              & ( 2 = b(X23) )
              & $less(b(X22),4)
              & $less(b(X21),3)
              & $less(b(X20),4)
              & ( 8 = a(X22) )
              & ( 10 = a(X21) )
              & ( 3 = a(X20) )
              & ( X22 != X23 )
              & ( X21 != X23 )
              & ( X21 != X22 )
              & ( X20 != X23 )
              & ( X20 != X22 )
              & ( X20 != X21 ) )
        & ! [X24: $int,X25: $int,X26: $int,X27: $int] :
            ~ ( $less(X25,X24)
              & ( 5 = b(X27) )
              & $less(b(X25),3)
              & ( 2 = a(X27) )
              & ( 7 = a(X26) )
              & ( 10 = a(X25) )
              & ( 5 = a(X24) )
              & ( X26 != X27 )
              & ( X25 != X27 )
              & ( X25 != X26 )
              & ( X24 != X27 )
              & ( X24 != X26 )
              & ( X24 != X25 ) )
        & ! [X28: $int,X29: $int,X30: $int,X31: $int] :
            ~ ( $less(X29,X28)
              & $less(b(X29),3)
              & ( 2 = a(X31) )
              & ( 8 = a(X30) )
              & ( 10 = a(X29) )
              & ( 4 = a(X28) )
              & ( X30 != X31 )
              & ( X29 != X31 )
              & ( X29 != X30 )
              & ( X28 != X31 )
              & ( X28 != X30 )
              & ( X28 != X29 ) )
        & ! [X32: $int,X33: $int,X34: $int,X35: $int] :
            ~ ( $less(X33,X32)
              & $less(b(X33),3)
              & ( 1 = a(X35) )
              & ( 8 = a(X34) )
              & ( 10 = a(X33) )
              & ( 5 = a(X32) )
              & ( X34 != X35 )
              & ( X33 != X35 )
              & ( X33 != X34 )
              & ( X32 != X35 )
              & ( X32 != X34 )
              & ( X32 != X33 ) )
        & ! [X36: $int,X37: $int,X38: $int,X39: $int] :
            ~ ( $less(X37,X36)
              & ( 2 = b(X39) )
              & $less(b(X37),3)
              & ( 5 = b(X36) )
              & ( 4 = a(X38) )
              & ( 10 = a(X37) )
              & ( 7 = a(X36) )
              & ( X38 != X39 )
              & ( X37 != X39 )
              & ( X37 != X38 )
              & ( X36 != X39 )
              & ( X36 != X38 )
              & ( X36 != X37 ) )
        & ! [X40: $int,X41: $int,X42: $int,X43: $int] :
            ~ ( $less(X41,X40)
              & $less(b(X41),3)
              & ( 5 = b(X40) )
              & ( 2 = a(X43) )
              & ( 5 = a(X42) )
              & ( 10 = a(X41) )
              & ( 7 = a(X40) )
              & ( X42 != X43 )
              & ( X41 != X43 )
              & ( X41 != X42 )
              & ( X40 != X43 )
              & ( X40 != X42 )
              & ( X40 != X41 ) )
        & ! [X44: $int,X45: $int,X46: $int,X47: $int] :
            ~ ( $less(X45,X44)
              & $less(b(X45),3)
              & ( 5 = b(X44) )
              & ( 2 = a(X47) )
              & ( 7 = a(X46) )
              & ( 10 = a(X45) )
              & ( 5 = a(X44) )
              & ( X46 != X47 )
              & ( X45 != X47 )
              & ( X45 != X46 )
              & ( X44 != X47 )
              & ( X44 != X46 )
              & ( X44 != X45 ) )
        & ! [X48: $int,X49: $int,X50: $int,X51: $int] :
            ~ ( $less(X49,X48)
              & ( 5 = b(X50) )
              & $less(b(X49),3)
              & ( 2 = a(X51) )
              & ( 10 = a(X49) )
              & ( 4 = a(X48) )
              & ( X50 != X51 )
              & ( X49 != X51 )
              & ( X49 != X50 )
              & ( X48 != X51 )
              & ( X48 != X50 )
              & ( X48 != X49 ) )
        & ! [X52: $int,X53: $int,X54: $int,X55: $int] :
            ~ ( $less(X53,X52)
              & ( 5 = b(X54) )
              & $less(b(X53),3)
              & ( 1 = a(X55) )
              & ( 10 = a(X53) )
              & ( 5 = a(X52) )
              & ( X54 != X55 )
              & ( X53 != X55 )
              & ( X53 != X54 )
              & ( X52 != X55 )
              & ( X52 != X54 )
              & ( X52 != X53 ) )
        & ! [X56: $int,X57: $int,X58: $int,X59: $int] :
            ~ ( $less(X57,X56)
              & ( 2 = b(X59) )
              & $less(b(X57),3)
              & ( 8 = a(X58) )
              & ( 10 = a(X57) )
              & ( 4 = a(X56) )
              & ( X58 != X59 )
              & ( X57 != X59 )
              & ( X57 != X58 )
              & ( X56 != X59 )
              & ( X56 != X58 )
              & ( X56 != X57 ) )
        & ! [X60: $int,X61: $int,X62: $int,X63: $int] :
            ~ ( $less(X61,X60)
              & $less(b(X61),3)
              & ( 2 = a(X63) )
              & ( 8 = a(X62) )
              & ( 10 = a(X61) )
              & ( 5 = a(X60) )
              & ( X62 != X63 )
              & ( X61 != X63 )
              & ( X61 != X62 )
              & ( X60 != X63 )
              & ( X60 != X62 )
              & ( X60 != X61 ) )
        & ! [X64: $int,X65: $int,X66: $int,X67: $int] :
            ~ ( $less(X65,X64)
              & ( 2 = b(X67) )
              & ( 5 = b(X66) )
              & $less(b(X65),3)
              & ( 10 = a(X65) )
              & ( 4 = a(X64) )
              & ( X66 != X67 )
              & ( X65 != X67 )
              & ( X65 != X66 )
              & ( X64 != X67 )
              & ( X64 != X66 )
              & ( X64 != X65 ) )
        & ! [X68: $int,X69: $int,X70: $int,X71: $int] :
            ~ ( $less(X69,X68)
              & ( 5 = b(X70) )
              & $less(b(X69),3)
              & ( 2 = a(X71) )
              & ( 10 = a(X69) )
              & ( 5 = a(X68) )
              & ( X70 != X71 )
              & ( X69 != X71 )
              & ( X69 != X70 )
              & ( X68 != X71 )
              & ( X68 != X70 )
              & ( X68 != X69 ) )
        & ! [X72: $int,X73: $int,X74: $int] :
            ~ ( $less(X73,X72)
              & ( 2 = b(X73) )
              & ( 5 = b(X72) )
              & ( 4 = a(X74) )
              & ( 10 = a(X73) )
              & ( 12 = a(X72) )
              & ( X73 != X74 )
              & ( X72 != X74 )
              & ( X72 != X73 ) )
        & ! [X75: $int,X76: $int,X77: $int] :
            ~ ( $less(X76,X75)
              & ( 2 = b(X76) )
              & ( 5 = b(X75) )
              & ( 5 = a(X77) )
              & ( 10 = a(X76) )
              & ( 12 = a(X75) )
              & ( X76 != X77 )
              & ( X75 != X77 )
              & ( X75 != X76 ) )
        & ! [X78: $int,X79: $int,X80: $int] :
            ~ ( $less(X79,X78)
              & ( 2 = b(X79) )
              & ( 5 = b(X78) )
              & ( 4 = a(X80) )
              & ( 10 = a(X79) )
              & ( 1 = a(X78) )
              & ( X79 != X80 )
              & ( X78 != X80 )
              & ( X78 != X79 ) )
        & ! [X81: $int,X82: $int,X83: $int] :
            ~ ( $less(X82,X81)
              & ( 2 = b(X82) )
              & ( 5 = b(X81) )
              & ( 4 = a(X83) )
              & ( 10 = a(X82) )
              & ( 2 = a(X81) )
              & ( X82 != X83 )
              & ( X81 != X83 )
              & ( X81 != X82 ) )
        & ! [X84: $int,X85: $int,X86: $int] :
            ~ ( $less(X85,X84)
              & ( 2 = b(X85) )
              & ( 5 = b(X84) )
              & ( 6 = a(X86) )
              & ( 10 = a(X85) )
              & ( 12 = a(X84) )
              & ( X85 != X86 )
              & ( X84 != X86 )
              & ( X84 != X85 ) )
        & ! [X87: $int,X88: $int,X89: $int] :
            ~ ( $less(X88,X87)
              & ( 2 = b(X88) )
              & ( 5 = b(X87) )
              & ( 5 = a(X89) )
              & ( 10 = a(X88) )
              & ( 1 = a(X87) )
              & ( X88 != X89 )
              & ( X87 != X89 )
              & ( X87 != X88 ) )
        & ! [X90: $int,X91: $int,X92: $int,X93: $int] :
            ~ ( $less(X91,X90)
              & ( 5 = b(X93) )
              & ( 2 = b(X92) )
              & $less(b(X91),3)
              & ( 7 = a(X92) )
              & ( 10 = a(X91) )
              & ( 12 = a(X90) )
              & ( X92 != X93 )
              & ( X91 != X93 )
              & ( X91 != X92 )
              & ( X90 != X93 )
              & ( X90 != X92 )
              & ( X90 != X91 ) )
        & ! [X94: $int,X95: $int,X96: $int] :
            ~ ( $less(X95,X94)
              & ( 2 = b(X96) )
              & $less(b(X95),3)
              & ( 5 = b(X94) )
              & ( 7 = a(X96) )
              & ( 10 = a(X95) )
              & ( 12 = a(X94) )
              & ( X95 != X96 )
              & ( X94 != X96 )
              & ( X94 != X95 ) )
        & ! [X97: $int,X98: $int,X99: $int] :
            ~ ( $less(X98,X97)
              & ( 2 = b(X98) )
              & ( 5 = b(X97) )
              & ( 5 = a(X99) )
              & ( 10 = a(X98) )
              & ( 2 = a(X97) )
              & ( X98 != X99 )
              & ( X97 != X99 )
              & ( X97 != X98 ) )
        & ! [X100: $int,X101: $int,X102: $int,X103: $int] :
            ~ ( $less(X101,X100)
              & ( 5 = b(X103) )
              & $less(b(X102),4)
              & ( 2 = b(X101) )
              & ( 7 = a(X102) )
              & ( 10 = a(X101) )
              & ( 12 = a(X100) )
              & ( X102 != X103 )
              & ( X101 != X103 )
              & ( X101 != X102 )
              & ( X100 != X103 )
              & ( X100 != X102 )
              & ( X100 != X101 ) )
        & ! [X104: $int,X105: $int,X106: $int] :
            ~ ( $less(X105,X104)
              & $less(b(X106),4)
              & ( 2 = b(X105) )
              & ( 5 = b(X104) )
              & ( 7 = a(X106) )
              & ( 10 = a(X105) )
              & ( 12 = a(X104) )
              & ( X105 != X106 )
              & ( X104 != X106 )
              & ( X104 != X105 ) )
        & ! [X107: $int,X108: $int,X109: $int] :
            ~ ( $less(X108,X107)
              & ( 2 = b(X108) )
              & ( 5 = b(X107) )
              & ( 6 = a(X109) )
              & ( 10 = a(X108) )
              & ( 1 = a(X107) )
              & ( X108 != X109 )
              & ( X107 != X109 )
              & ( X107 != X108 ) )
        & ! [X110: $int,X111: $int,X112: $int] :
            ~ ( $less(X111,X110)
              & ( 2 = b(X112) )
              & $less(b(X111),3)
              & ( 8 = a(X112) )
              & ( 10 = a(X111) )
              & ( 12 = a(X110) )
              & ( X111 != X112 )
              & ( X110 != X112 )
              & ( X110 != X111 ) )
        & ! [X113: $int,X114: $int,X115: $int,X116: $int] :
            ~ ( $less(X114,X113)
              & ( 5 = b(X116) )
              & ( 2 = b(X115) )
              & $less(b(X114),3)
              & ( 7 = a(X115) )
              & ( 10 = a(X114) )
              & ( 1 = a(X113) )
              & ( X115 != X116 )
              & ( X114 != X116 )
              & ( X114 != X115 )
              & ( X113 != X116 )
              & ( X113 != X115 )
              & ( X113 != X114 ) )
        & ! [X117: $int,X118: $int,X119: $int] :
            ~ ( $less(X118,X117)
              & ( 2 = b(X119) )
              & $less(b(X118),3)
              & ( 5 = b(X117) )
              & ( 7 = a(X119) )
              & ( 10 = a(X118) )
              & ( 1 = a(X117) )
              & ( X118 != X119 )
              & ( X117 != X119 )
              & ( X117 != X118 ) )
        & ! [X120: $int,X121: $int,X122: $int] :
            ~ ( $less(X121,X120)
              & ( 2 = b(X121) )
              & ( 5 = b(X120) )
              & ( 4 = a(X122) )
              & ( 10 = a(X121) )
              & ( 4 = a(X120) )
              & ( X121 != X122 )
              & ( X120 != X122 )
              & ( X120 != X121 ) )
        & ! [X123: $int,X124: $int,X125: $int] :
            ~ ( $less(X124,X123)
              & ( 2 = b(X124) )
              & ( 5 = b(X123) )
              & ( 6 = a(X125) )
              & ( 10 = a(X124) )
              & ( 2 = a(X123) )
              & ( X124 != X125 )
              & ( X123 != X125 )
              & ( X123 != X124 ) )
        & ! [X126: $int,X127: $int,X128: $int] :
            ~ ( $less(X127,X126)
              & $less(b(X128),4)
              & ( 2 = b(X127) )
              & ( 8 = a(X128) )
              & ( 10 = a(X127) )
              & ( 12 = a(X126) )
              & ( X127 != X128 )
              & ( X126 != X128 )
              & ( X126 != X127 ) )
        & ! [X129: $int,X130: $int,X131: $int,X132: $int] :
            ~ ( $less(X130,X129)
              & ( 5 = b(X132) )
              & $less(b(X131),4)
              & ( 2 = b(X130) )
              & ( 7 = a(X131) )
              & ( 10 = a(X130) )
              & ( 1 = a(X129) )
              & ( X131 != X132 )
              & ( X130 != X132 )
              & ( X130 != X131 )
              & ( X129 != X132 )
              & ( X129 != X131 )
              & ( X129 != X130 ) )
        & ! [X133: $int,X134: $int,X135: $int] :
            ~ ( $less(X134,X133)
              & $less(b(X135),4)
              & ( 2 = b(X134) )
              & ( 5 = b(X133) )
              & ( 7 = a(X135) )
              & ( 10 = a(X134) )
              & ( 1 = a(X133) )
              & ( X134 != X135 )
              & ( X133 != X135 )
              & ( X133 != X134 ) )
        & ! [X136: $int,X137: $int,X138: $int,X139: $int] :
            ~ ( $less(X137,X136)
              & ( 5 = b(X139) )
              & ( 2 = b(X138) )
              & $less(b(X137),3)
              & ( 7 = a(X138) )
              & ( 10 = a(X137) )
              & ( 2 = a(X136) )
              & ( X138 != X139 )
              & ( X137 != X139 )
              & ( X137 != X138 )
              & ( X136 != X139 )
              & ( X136 != X138 )
              & ( X136 != X137 ) )
        & ! [X140: $int,X141: $int,X142: $int] :
            ~ ( $less(X141,X140)
              & ( 2 = b(X142) )
              & $less(b(X141),3)
              & ( 5 = b(X140) )
              & ( 7 = a(X142) )
              & ( 10 = a(X141) )
              & ( 2 = a(X140) )
              & ( X141 != X142 )
              & ( X140 != X142 )
              & ( X140 != X141 ) )
        & ! [X143: $int,X144: $int,X145: $int] :
            ~ ( $less(X144,X143)
              & ( 2 = b(X145) )
              & $less(b(X144),3)
              & ( 8 = a(X145) )
              & ( 10 = a(X144) )
              & ( 1 = a(X143) )
              & ( X144 != X145 )
              & ( X143 != X145 )
              & ( X143 != X144 ) )
        & ! [X146: $int,X147: $int,X148: $int] :
            ~ ( $less(X147,X146)
              & ( 2 = b(X147) )
              & ( 5 = b(X146) )
              & ( 4 = a(X148) )
              & ( 10 = a(X147) )
              & ( 5 = a(X146) )
              & ( X147 != X148 )
              & ( X146 != X148 )
              & ( X146 != X147 ) )
        & ! [X149: $int,X150: $int,X151: $int] :
            ~ ( $less(X150,X149)
              & ( 2 = b(X150) )
              & ( 5 = b(X149) )
              & ( 5 = a(X151) )
              & ( 10 = a(X150) )
              & ( 4 = a(X149) )
              & ( X150 != X151 )
              & ( X149 != X151 )
              & ( X149 != X150 ) )
        & ! [X152: $int,X153: $int,X154: $int,X155: $int] :
            ~ ( $less(X153,X152)
              & ( 5 = b(X155) )
              & $less(b(X154),4)
              & ( 2 = b(X153) )
              & ( 7 = a(X154) )
              & ( 10 = a(X153) )
              & ( 2 = a(X152) )
              & ( X154 != X155 )
              & ( X153 != X155 )
              & ( X153 != X154 )
              & ( X152 != X155 )
              & ( X152 != X154 )
              & ( X152 != X153 ) )
        & ! [X156: $int,X157: $int,X158: $int] :
            ~ ( $less(X157,X156)
              & $less(b(X158),4)
              & ( 2 = b(X157) )
              & ( 5 = b(X156) )
              & ( 7 = a(X158) )
              & ( 10 = a(X157) )
              & ( 2 = a(X156) )
              & ( X157 != X158 )
              & ( X156 != X158 )
              & ( X156 != X157 ) )
        & ! [X159: $int,X160: $int,X161: $int] :
            ~ ( $less(X160,X159)
              & $less(b(X161),4)
              & ( 2 = b(X160) )
              & ( 8 = a(X161) )
              & ( 10 = a(X160) )
              & ( 1 = a(X159) )
              & ( X160 != X161 )
              & ( X159 != X161 )
              & ( X159 != X160 ) )
        & ! [X162: $int,X163: $int,X164: $int] :
            ~ ( $less(X163,X162)
              & ( 2 = b(X163) )
              & ( 5 = b(X162) )
              & ( 4 = a(X164) )
              & ( 10 = a(X163) )
              & ( 6 = a(X162) )
              & ( X163 != X164 )
              & ( X162 != X164 )
              & ( X162 != X163 ) )
        & ! [X165: $int,X166: $int,X167: $int,X168: $int] :
            ~ ( $less(X166,X165)
              & ( 2 = b(X168) )
              & ( 2 = b(X167) )
              & $less(b(X166),3)
              & ( 5 = b(X165) )
              & ( 5 = a(X167) )
              & ( 10 = a(X166) )
              & ( 5 = a(X165) )
              & ( X167 != X168 )
              & ( X166 != X168 )
              & ( X166 != X167 )
              & ( X165 != X168 )
              & ( X165 != X167 )
              & ( X165 != X166 ) )
        & ! [X169: $int,X170: $int,X171: $int,X172: $int] :
            ~ ( $less(X170,X169)
              & ( 5 = b(X172) )
              & ( 2 = b(X171) )
              & $less(b(X170),3)
              & $less(b(X169),4)
              & ( 7 = a(X171) )
              & ( 10 = a(X170) )
              & ( 3 = a(X169) )
              & ( X171 != X172 )
              & ( X170 != X172 )
              & ( X170 != X171 )
              & ( X169 != X172 )
              & ( X169 != X171 )
              & ( X169 != X170 ) )
        & ! [X173: $int,X174: $int,X175: $int] :
            ~ ( $less(X174,X173)
              & ( 2 = b(X175) )
              & $less(b(X174),3)
              & ( 8 = a(X175) )
              & ( 10 = a(X174) )
              & ( 2 = a(X173) )
              & ( X174 != X175 )
              & ( X173 != X175 )
              & ( X173 != X174 ) )
        & ! [X176: $int,X177: $int,X178: $int] :
            ~ ( $less(X177,X176)
              & ( 2 = b(X177) )
              & ( 5 = b(X176) )
              & ( 5 = a(X178) )
              & ( 10 = a(X177) )
              & ( 5 = a(X176) )
              & ( X177 != X178 )
              & ( X176 != X178 )
              & ( X176 != X177 ) )
        & ! [X179: $int,X180: $int,X181: $int] :
            ~ ( $less(X180,X179)
              & ( 2 = b(X180) )
              & ( 5 = b(X179) )
              & ( 6 = a(X181) )
              & ( 10 = a(X180) )
              & ( 4 = a(X179) )
              & ( X180 != X181 )
              & ( X179 != X181 )
              & ( X179 != X180 ) )
        & ! [X182: $int,X183: $int,X184: $int,X185: $int] :
            ~ ( $less(X183,X182)
              & ( 5 = b(X185) )
              & $less(b(X184),4)
              & ( 2 = b(X183) )
              & $less(b(X182),4)
              & ( 7 = a(X184) )
              & ( 10 = a(X183) )
              & ( 3 = a(X182) )
              & ( X184 != X185 )
              & ( X183 != X185 )
              & ( X183 != X184 )
              & ( X182 != X185 )
              & ( X182 != X184 )
              & ( X182 != X183 ) )
        & ! [X186: $int,X187: $int,X188: $int] :
            ~ ( $less(X187,X186)
              & $less(b(X188),4)
              & ( 2 = b(X187) )
              & ( 8 = a(X188) )
              & ( 10 = a(X187) )
              & ( 2 = a(X186) )
              & ( X187 != X188 )
              & ( X186 != X188 )
              & ( X186 != X187 ) )
        & ! [X189: $int,X190: $int,X191: $int] :
            ~ ( $less(X190,X189)
              & ( 2 = b(X190) )
              & ( 5 = b(X189) )
              & ( 4 = a(X191) )
              & ( 10 = a(X190) )
              & ( 7 = a(X189) )
              & ( X190 != X191 )
              & ( X189 != X191 )
              & ( X189 != X190 ) )
        & ! [X192: $int,X193: $int,X194: $int,X195: $int] :
            ~ ( $less(X193,X192)
              & ( 2 = b(X195) )
              & $less(b(X193),3)
              & ( 5 = b(X192) )
              & ( 5 = a(X194) )
              & ( 10 = a(X193) )
              & ( 6 = a(X192) )
              & ( X194 != X195 )
              & ( X193 != X195 )
              & ( X193 != X194 )
              & ( X192 != X195 )
              & ( X192 != X194 )
              & ( X192 != X193 ) )
        & ! [X196: $int,X197: $int,X198: $int] :
            ~ ( $less(X197,X196)
              & ( 2 = b(X197) )
              & ( 5 = b(X196) )
              & ( 5 = a(X198) )
              & ( 10 = a(X197) )
              & ( 6 = a(X196) )
              & ( X197 != X198 )
              & ( X196 != X198 )
              & ( X196 != X197 ) )
        & ! [X199: $int,X200: $int,X201: $int,X202: $int] :
            ~ ( $less(X200,X199)
              & ( 2 = b(X202) )
              & $less(b(X200),3)
              & ( 5 = b(X199) )
              & ( 6 = a(X201) )
              & ( 10 = a(X200) )
              & ( 5 = a(X199) )
              & ( X201 != X202 )
              & ( X200 != X202 )
              & ( X200 != X201 )
              & ( X199 != X202 )
              & ( X199 != X201 )
              & ( X199 != X200 ) )
        & ! [X203: $int,X204: $int,X205: $int] :
            ~ ( $less(X204,X203)
              & ( 2 = b(X205) )
              & $less(b(X204),3)
              & ( 5 = b(X203) )
              & ( 6 = a(X205) )
              & ( 10 = a(X204) )
              & ( 5 = a(X203) )
              & ( X204 != X205 )
              & ( X203 != X205 )
              & ( X203 != X204 ) )
        & ! [X206: $int,X207: $int,X208: $int,X209: $int] :
            ~ ( $less(X207,X206)
              & ( 5 = b(X209) )
              & ( 2 = b(X208) )
              & $less(b(X207),3)
              & ( 7 = a(X208) )
              & ( 10 = a(X207) )
              & ( 4 = a(X206) )
              & ( X208 != X209 )
              & ( X207 != X209 )
              & ( X207 != X208 )
              & ( X206 != X209 )
              & ( X206 != X208 )
              & ( X206 != X207 ) )
        & ! [X210: $int,X211: $int,X212: $int] :
            ~ ( $less(X211,X210)
              & ( 2 = b(X212) )
              & $less(b(X211),3)
              & ( 5 = b(X210) )
              & ( 7 = a(X212) )
              & ( 10 = a(X211) )
              & ( 4 = a(X210) )
              & ( X211 != X212 )
              & ( X210 != X212 )
              & ( X210 != X211 ) )
        & ! [X213: $int,X214: $int,X215: $int] :
            ~ ( $less(X214,X213)
              & ( 2 = b(X215) )
              & $less(b(X214),3)
              & $less(b(X213),4)
              & ( 8 = a(X215) )
              & ( 10 = a(X214) )
              & ( 3 = a(X213) )
              & ( X214 != X215 )
              & ( X213 != X215 )
              & ( X213 != X214 ) )
        & ! [X216: $int,X217: $int,X218: $int] :
            ~ ( $less(X217,X216)
              & ( 2 = b(X217) )
              & ( 5 = b(X216) )
              & ( 6 = a(X218) )
              & ( 10 = a(X217) )
              & ( 5 = a(X216) )
              & ( X217 != X218 )
              & ( X216 != X218 )
              & ( X216 != X217 ) )
        & ! [X219: $int,X220: $int,X221: $int] :
            ~ ( $less(X220,X219)
              & ( 2 = b(X220) )
              & ( 5 = b(X219) )
              & ( 7 = a(X221) )
              & ( 10 = a(X220) )
              & ( 4 = a(X219) )
              & ( X220 != X221 )
              & ( X219 != X221 )
              & ( X219 != X220 ) )
        & ! [X222: $int,X223: $int,X224: $int] :
            ~ ( $less(X223,X222)
              & $less(b(X224),4)
              & ( 2 = b(X223) )
              & $less(b(X222),4)
              & ( 8 = a(X224) )
              & ( 10 = a(X223) )
              & ( 3 = a(X222) )
              & ( X223 != X224 )
              & ( X222 != X224 )
              & ( X222 != X223 ) )
        & ! [X225: $int,X226: $int,X227: $int,X228: $int] :
            ~ ( $less(X226,X225)
              & ( 2 = b(X228) )
              & $less(b(X226),3)
              & ( 5 = b(X225) )
              & ( 5 = a(X227) )
              & ( 10 = a(X226) )
              & ( 7 = a(X225) )
              & ( X227 != X228 )
              & ( X226 != X228 )
              & ( X226 != X227 )
              & ( X225 != X228 )
              & ( X225 != X227 )
              & ( X225 != X226 ) )
        & ! [X229: $int,X230: $int,X231: $int] :
            ~ ( $less(X230,X229)
              & ( 2 = b(X230) )
              & ( 5 = b(X229) )
              & ( 5 = a(X231) )
              & ( 10 = a(X230) )
              & ( 7 = a(X229) )
              & ( X230 != X231 )
              & ( X229 != X231 )
              & ( X229 != X230 ) )
        & ! [X232: $int,X233: $int,X234: $int] :
            ~ ( $less(X233,X232)
              & $less(b(X233),3)
              & ( 5 = b(X232) )
              & ( 6 = a(X234) )
              & ( 10 = a(X233) )
              & ( 6 = a(X232) )
              & ( X233 != X234 )
              & ( X232 != X234 )
              & ( X232 != X233 ) )
        & ! [X235: $int,X236: $int,X237: $int,X238: $int] :
            ~ ( $less(X236,X235)
              & ( 2 = b(X238) )
              & $less(b(X236),3)
              & ( 5 = b(X235) )
              & ( 7 = a(X237) )
              & ( 10 = a(X236) )
              & ( 5 = a(X235) )
              & ( X237 != X238 )
              & ( X236 != X238 )
              & ( X236 != X237 )
              & ( X235 != X238 )
              & ( X235 != X237 )
              & ( X235 != X236 ) )
        & ! [X239: $int,X240: $int,X241: $int] :
            ~ ( $less(X240,X239)
              & ( 2 = b(X241) )
              & $less(b(X240),3)
              & ( 5 = b(X239) )
              & ( 7 = a(X241) )
              & ( 10 = a(X240) )
              & ( 5 = a(X239) )
              & ( X240 != X241 )
              & ( X239 != X241 )
              & ( X239 != X240 ) )
        & ! [X242: $int,X243: $int,X244: $int] :
            ~ ( $less(X243,X242)
              & ( 2 = b(X244) )
              & $less(b(X243),3)
              & ( 8 = a(X244) )
              & ( 10 = a(X243) )
              & ( 4 = a(X242) )
              & ( X243 != X244 )
              & ( X242 != X244 )
              & ( X242 != X243 ) )
        & ! [X245: $int,X246: $int,X247: $int] :
            ~ ( $less(X246,X245)
              & ( 2 = b(X246) )
              & ( 5 = b(X245) )
              & ( 7 = a(X247) )
              & ( 10 = a(X246) )
              & ( 5 = a(X245) )
              & ( X246 != X247 )
              & ( X245 != X247 )
              & ( X245 != X246 ) )
        & ! [X248: $int,X249: $int,X250: $int] :
            ~ ( $less(X249,X248)
              & ( 2 = b(X249) )
              & ( 8 = a(X250) )
              & ( 10 = a(X249) )
              & ( 4 = a(X248) )
              & ( X249 != X250 )
              & ( X248 != X250 )
              & ( X248 != X249 ) )
        & ! [X251: $int,X252: $int,X253: $int] :
            ~ ( $less(X252,X251)
              & $less(b(X252),3)
              & ( 5 = b(X251) )
              & ( 6 = a(X253) )
              & ( 10 = a(X252) )
              & ( 7 = a(X251) )
              & ( X252 != X253 )
              & ( X251 != X253 )
              & ( X251 != X252 ) )
        & ! [X254: $int,X255: $int,X256: $int] :
            ~ ( $less(X255,X254)
              & $less(b(X255),3)
              & ( 5 = b(X254) )
              & ( 7 = a(X256) )
              & ( 10 = a(X255) )
              & ( 6 = a(X254) )
              & ( X255 != X256 )
              & ( X254 != X256 )
              & ( X254 != X255 ) )
        & ! [X257: $int,X258: $int,X259: $int,X260: $int] :
            ~ ( $less(X258,X257)
              & ( 2 = b(X260) )
              & $less(b(X258),3)
              & ( 8 = a(X259) )
              & ( 10 = a(X258) )
              & ( 5 = a(X257) )
              & ( X259 != X260 )
              & ( X258 != X260 )
              & ( X258 != X259 )
              & ( X257 != X260 )
              & ( X257 != X259 )
              & ( X257 != X258 ) )
        & ! [X261: $int,X262: $int,X263: $int] :
            ~ ( $less(X262,X261)
              & ( 2 = b(X263) )
              & $less(b(X262),3)
              & ( 8 = a(X263) )
              & ( 10 = a(X262) )
              & ( 5 = a(X261) )
              & ( X262 != X263 )
              & ( X261 != X263 )
              & ( X261 != X262 ) )
        & ! [X264: $int,X265: $int,X266: $int] :
            ~ ( $less(X265,X264)
              & ( 2 = b(X265) )
              & ( 8 = a(X266) )
              & ( 10 = a(X265) )
              & ( 5 = a(X264) )
              & ( X265 != X266 )
              & ( X264 != X266 )
              & ( X264 != X265 ) )
        & ! [X267: $int,X268: $int,X269: $int] :
            ~ ( $less(X268,X267)
              & ( 5 = b(X269) )
              & ( 2 = b(X268) )
              & ( 10 = a(X268) )
              & ( 4 = a(X267) )
              & ( X268 != X269 )
              & ( X267 != X269 )
              & ( X267 != X268 ) )
        & ! [X270: $int,X271: $int,X272: $int] :
            ~ ( $less(X271,X270)
              & $less(b(X271),3)
              & ( 5 = b(X270) )
              & ( 7 = a(X272) )
              & ( 10 = a(X271) )
              & ( 7 = a(X270) )
              & ( X271 != X272 )
              & ( X270 != X272 )
              & ( X270 != X271 ) )
        & ! [X273: $int,X274: $int,X275: $int] :
            ~ ( $less(X274,X273)
              & $less(b(X274),3)
              & ( 8 = a(X275) )
              & ( 10 = a(X274) )
              & ( 6 = a(X273) )
              & ( X274 != X275 )
              & ( X273 != X275 )
              & ( X273 != X274 ) )
        & ! [X276: $int,X277: $int,X278: $int,X279: $int] :
            ~ ( $less(X277,X276)
              & ( 2 = b(X279) )
              & ( 5 = b(X278) )
              & $less(b(X277),3)
              & ( 10 = a(X277) )
              & ( 5 = a(X276) )
              & ( X278 != X279 )
              & ( X277 != X279 )
              & ( X277 != X278 )
              & ( X276 != X279 )
              & ( X276 != X278 )
              & ( X276 != X277 ) )
        & ! [X280: $int,X281: $int,X282: $int] :
            ~ ( $less(X281,X280)
              & ( 5 = b(X282) )
              & ( 2 = b(X281) )
              & ( 10 = a(X281) )
              & ( 5 = a(X280) )
              & ( X281 != X282 )
              & ( X280 != X282 )
              & ( X280 != X281 ) )
        & ! [X283: $int,X284: $int,X285: $int] :
            ~ ( $less(X284,X283)
              & $less(b(X284),3)
              & ( 8 = a(X285) )
              & ( 10 = a(X284) )
              & ( 7 = a(X283) )
              & ( X284 != X285 )
              & ( X283 != X285 )
              & ( X283 != X284 ) )
        & ! [X286: $int,X287: $int,X288: $int] :
            ~ ( $less(X287,X286)
              & ( 5 = b(X288) )
              & $less(b(X287),3)
              & ( 10 = a(X287) )
              & ( 6 = a(X286) )
              & ( X287 != X288 )
              & ( X286 != X288 )
              & ( X286 != X287 ) )
        & ! [X289: $int,X290: $int,X291: $int] :
            ~ ( $less(X290,X289)
              & ( 5 = b(X291) )
              & $less(b(X290),3)
              & ( 10 = a(X290) )
              & ( 7 = a(X289) )
              & ( X290 != X291 )
              & ( X289 != X291 )
              & ( X289 != X290 ) )
        & ! [X292: $int,X293: $int] :
            ~ ( $less(X293,X292)
              & $less(b(X293),3)
              & ( 10 = a(X293) )
              & ( 8 = a(X292) )
              & ( X292 != X293 ) )
        & ! [X294: $int,X295: $int] :
            ~ ( $less(X295,X294)
              & $less(b(X295),3)
              & ( 10 = a(X295) )
              & ( 9 = a(X294) )
              & ( X294 != X295 ) )
        & ! [X296: $int,X297: $int] :
            ~ ( ( 10 = a(X297) )
              & ( 10 = a(X296) )
              & ( X296 != X297 ) )
        & ( z4 != z5 )
        & ( z3 != z5 )
        & ( z3 != z4 )
        & ( z2 != z5 )
        & ( z2 != z4 )
        & ( z2 != z3 )
        & ( z1 != z5 )
        & ( z1 != z4 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & ! [X298: $int] :
            ( ~ $less(5,b(X298))
            & ~ $less(b(X298),1) )
        & ! [X299: $int] :
            ( ~ $less(12,a(X299))
            & ~ $less(a(X299),1) ) )
     => ~ ( $less(z2,z1)
          & ( 2 = b(z4) )
          & ( 2 = b(z3) )
          & $less(b(z2),3)
          & ( 5 = b(z1) )
          & ( 5 = a(z4) )
          & ( 6 = a(z3) )
          & ( 10 = a(z2) )
          & ( 5 = a(z1) ) ) ),
    inference(true_and_false_elimination,[],[f16]) ).

tff(f16,plain,
    ~ ( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
            ~ ( $less(X1,X0)
              & ( 2 = b(X3) )
              & $less(b(X1),3)
              & ( b(X0) = 5 )
              & ( 5 = a(X2) )
              & ( 10 = a(X1) )
              & ( a(X0) = 5 )
              & ( X2 != X3 )
              & ( X1 != X3 )
              & ( X1 != X2 )
              & ( X0 != X3 )
              & ( X0 != X2 )
              & ( X0 != X1 ) )
        & ! [X4: $int,X5: $int,X6: $int,X7: $int] :
            ~ ( $less(X5,X4)
              & $less(b(X5),3)
              & ( 5 = b(X4) )
              & ( 2 = a(X7) )
              & ( 6 = a(X6) )
              & ( 10 = a(X5) )
              & ( 5 = a(X4) )
              & ( X6 != X7 )
              & ( X5 != X7 )
              & ( X5 != X6 )
              & ( X4 != X7 )
              & ( X4 != X6 )
              & ( X4 != X5 ) )
        & ! [X8: $int,X9: $int,X10: $int,X11: $int] :
            ~ ( $less(X9,X8)
              & ( 5 = b(X10) )
              & $less(b(X9),3)
              & ( 12 = a(X11) )
              & ( 10 = a(X9) )
              & ( 5 = a(X8) )
              & ( X10 != X11 )
              & ( X9 != X11 )
              & ( X9 != X10 )
              & ( X8 != X11 )
              & ( X8 != X10 )
              & ( X8 != X9 ) )
        & ! [X12: $int,X13: $int,X14: $int,X15: $int] :
            ~ ( $less(X13,X12)
              & ( 5 = b(X14) )
              & $less(b(X13),3)
              & ( 1 = a(X15) )
              & ( 10 = a(X13) )
              & ( 4 = a(X12) )
              & ( X14 != X15 )
              & ( X13 != X15 )
              & ( X13 != X14 )
              & ( X12 != X15 )
              & ( X12 != X14 )
              & ( X12 != X13 ) )
        & ! [X16: $int,X17: $int,X18: $int,X19: $int] :
            ~ ( $less(X17,X16)
              & ( 2 = b(X19) )
              & $less(b(X17),3)
              & ( 5 = b(X16) )
              & ( 7 = a(X18) )
              & ( 10 = a(X17) )
              & ( 4 = a(X16) )
              & ( X18 != X19 )
              & ( X17 != X19 )
              & ( X17 != X18 )
              & ( X16 != X19 )
              & ( X16 != X18 )
              & ( X16 != X17 ) )
        & ! [X20: $int,X21: $int,X22: $int,X23: $int] :
            ~ ( $less(X21,X20)
              & ( 2 = b(X23) )
              & $less(b(X22),4)
              & $less(b(X21),3)
              & $less(b(X20),4)
              & ( 8 = a(X22) )
              & ( 10 = a(X21) )
              & ( 3 = a(X20) )
              & ( X22 != X23 )
              & ( X21 != X23 )
              & ( X21 != X22 )
              & ( X20 != X23 )
              & ( X20 != X22 )
              & ( X20 != X21 ) )
        & ! [X24: $int,X25: $int,X26: $int,X27: $int] :
            ~ ( $less(X25,X24)
              & ( 5 = b(X27) )
              & $less(b(X25),3)
              & ( 2 = a(X27) )
              & ( 7 = a(X26) )
              & ( 10 = a(X25) )
              & ( 5 = a(X24) )
              & ( X26 != X27 )
              & ( X25 != X27 )
              & ( X25 != X26 )
              & ( X24 != X27 )
              & ( X24 != X26 )
              & ( X24 != X25 ) )
        & ! [X28: $int,X29: $int,X30: $int,X31: $int] :
            ~ ( $less(X29,X28)
              & $less(b(X29),3)
              & ( 2 = a(X31) )
              & ( 8 = a(X30) )
              & ( 10 = a(X29) )
              & ( 4 = a(X28) )
              & ( X30 != X31 )
              & ( X29 != X31 )
              & ( X29 != X30 )
              & ( X28 != X31 )
              & ( X28 != X30 )
              & ( X28 != X29 ) )
        & ! [X32: $int,X33: $int,X34: $int,X35: $int] :
            ~ ( $less(X33,X32)
              & $less(b(X33),3)
              & ( 1 = a(X35) )
              & ( 8 = a(X34) )
              & ( 10 = a(X33) )
              & ( 5 = a(X32) )
              & ( X34 != X35 )
              & ( X33 != X35 )
              & ( X33 != X34 )
              & ( X32 != X35 )
              & ( X32 != X34 )
              & ( X32 != X33 ) )
        & ! [X36: $int,X37: $int,X38: $int,X39: $int] :
            ~ ( $less(X37,X36)
              & ( 2 = b(X39) )
              & $less(b(X37),3)
              & ( 5 = b(X36) )
              & ( 4 = a(X38) )
              & ( 10 = a(X37) )
              & ( 7 = a(X36) )
              & ( X38 != X39 )
              & ( X37 != X39 )
              & ( X37 != X38 )
              & ( X36 != X39 )
              & ( X36 != X38 )
              & ( X36 != X37 ) )
        & ! [X40: $int,X41: $int,X42: $int,X43: $int] :
            ~ ( $less(X41,X40)
              & $less(b(X41),3)
              & ( 5 = b(X40) )
              & ( 2 = a(X43) )
              & ( 5 = a(X42) )
              & ( 10 = a(X41) )
              & ( 7 = a(X40) )
              & ( X42 != X43 )
              & ( X41 != X43 )
              & ( X41 != X42 )
              & ( X40 != X43 )
              & ( X40 != X42 )
              & ( X40 != X41 ) )
        & ! [X44: $int,X45: $int,X46: $int,X47: $int] :
            ~ ( $less(X45,X44)
              & $less(b(X45),3)
              & ( 5 = b(X44) )
              & ( 2 = a(X47) )
              & ( 7 = a(X46) )
              & ( 10 = a(X45) )
              & ( 5 = a(X44) )
              & ( X46 != X47 )
              & ( X45 != X47 )
              & ( X45 != X46 )
              & ( X44 != X47 )
              & ( X44 != X46 )
              & ( X44 != X45 ) )
        & ! [X48: $int,X49: $int,X50: $int,X51: $int] :
            ~ ( $less(X49,X48)
              & ( 5 = b(X50) )
              & $less(b(X49),3)
              & ( 2 = a(X51) )
              & ( 10 = a(X49) )
              & ( 4 = a(X48) )
              & ( X50 != X51 )
              & ( X49 != X51 )
              & ( X49 != X50 )
              & ( X48 != X51 )
              & ( X48 != X50 )
              & ( X48 != X49 ) )
        & ! [X52: $int,X53: $int,X54: $int,X55: $int] :
            ~ ( $less(X53,X52)
              & ( 5 = b(X54) )
              & $less(b(X53),3)
              & ( 1 = a(X55) )
              & ( 10 = a(X53) )
              & ( 5 = a(X52) )
              & ( X54 != X55 )
              & ( X53 != X55 )
              & ( X53 != X54 )
              & ( X52 != X55 )
              & ( X52 != X54 )
              & ( X52 != X53 ) )
        & ! [X56: $int,X57: $int,X58: $int,X59: $int] :
            ~ ( $less(X57,X56)
              & ( 2 = b(X59) )
              & $less(b(X57),3)
              & ( 8 = a(X58) )
              & ( 10 = a(X57) )
              & ( 4 = a(X56) )
              & ( X58 != X59 )
              & ( X57 != X59 )
              & ( X57 != X58 )
              & ( X56 != X59 )
              & ( X56 != X58 )
              & ( X56 != X57 ) )
        & ! [X60: $int,X61: $int,X62: $int,X63: $int] :
            ~ ( $less(X61,X60)
              & $less(b(X61),3)
              & ( 2 = a(X63) )
              & ( 8 = a(X62) )
              & ( 10 = a(X61) )
              & ( 5 = a(X60) )
              & ( X62 != X63 )
              & ( X61 != X63 )
              & ( X61 != X62 )
              & ( X60 != X63 )
              & ( X60 != X62 )
              & ( X60 != X61 ) )
        & ! [X64: $int,X65: $int,X66: $int,X67: $int] :
            ~ ( $less(X65,X64)
              & ( 2 = b(X67) )
              & ( 5 = b(X66) )
              & $less(b(X65),3)
              & ( 10 = a(X65) )
              & ( 4 = a(X64) )
              & ( X66 != X67 )
              & ( X65 != X67 )
              & ( X65 != X66 )
              & ( X64 != X67 )
              & ( X64 != X66 )
              & ( X64 != X65 ) )
        & ! [X68: $int,X69: $int,X70: $int,X71: $int] :
            ~ ( $less(X69,X68)
              & ( 5 = b(X70) )
              & $less(b(X69),3)
              & ( 2 = a(X71) )
              & ( 10 = a(X69) )
              & ( 5 = a(X68) )
              & ( X70 != X71 )
              & ( X69 != X71 )
              & ( X69 != X70 )
              & ( X68 != X71 )
              & ( X68 != X70 )
              & ( X68 != X69 ) )
        & ! [X72: $int,X73: $int,X74: $int] :
            ~ ( $less(X73,X72)
              & ( 2 = b(X73) )
              & ( 5 = b(X72) )
              & ( 4 = a(X74) )
              & ( 10 = a(X73) )
              & ( 12 = a(X72) )
              & ( X73 != X74 )
              & ( X72 != X74 )
              & ( X72 != X73 ) )
        & ! [X75: $int,X76: $int,X77: $int] :
            ~ ( $less(X76,X75)
              & ( 2 = b(X76) )
              & ( 5 = b(X75) )
              & ( 5 = a(X77) )
              & ( 10 = a(X76) )
              & ( 12 = a(X75) )
              & ( X76 != X77 )
              & ( X75 != X77 )
              & ( X75 != X76 ) )
        & ! [X78: $int,X79: $int,X80: $int] :
            ~ ( $less(X79,X78)
              & ( 2 = b(X79) )
              & ( 5 = b(X78) )
              & ( 4 = a(X80) )
              & ( 10 = a(X79) )
              & ( 1 = a(X78) )
              & ( X79 != X80 )
              & ( X78 != X80 )
              & ( X78 != X79 ) )
        & ! [X81: $int,X82: $int,X83: $int] :
            ~ ( $less(X82,X81)
              & ( 2 = b(X82) )
              & ( 5 = b(X81) )
              & ( 4 = a(X83) )
              & ( 10 = a(X82) )
              & ( 2 = a(X81) )
              & ( X82 != X83 )
              & ( X81 != X83 )
              & ( X81 != X82 ) )
        & ! [X84: $int,X85: $int,X86: $int] :
            ~ ( $less(X85,X84)
              & ( 2 = b(X85) )
              & ( 5 = b(X84) )
              & ( 6 = a(X86) )
              & ( 10 = a(X85) )
              & ( 12 = a(X84) )
              & ( X85 != X86 )
              & ( X84 != X86 )
              & ( X84 != X85 ) )
        & ! [X87: $int,X88: $int,X89: $int] :
            ~ ( $less(X88,X87)
              & ( 2 = b(X88) )
              & ( 5 = b(X87) )
              & ( 5 = a(X89) )
              & ( 10 = a(X88) )
              & ( 1 = a(X87) )
              & ( X88 != X89 )
              & ( X87 != X89 )
              & ( X87 != X88 ) )
        & ! [X90: $int,X91: $int,X92: $int,X93: $int] :
            ~ ( $less(X91,X90)
              & ( 5 = b(X93) )
              & ( 2 = b(X92) )
              & $less(b(X91),3)
              & ( 7 = a(X92) )
              & ( 10 = a(X91) )
              & ( 12 = a(X90) )
              & ( X92 != X93 )
              & ( X91 != X93 )
              & ( X91 != X92 )
              & ( X90 != X93 )
              & ( X90 != X92 )
              & ( X90 != X91 ) )
        & ! [X94: $int,X95: $int,X96: $int] :
            ~ ( $less(X95,X94)
              & ( 2 = b(X96) )
              & $less(b(X95),3)
              & ( 5 = b(X94) )
              & ( 7 = a(X96) )
              & ( 10 = a(X95) )
              & ( 12 = a(X94) )
              & ( X95 != X96 )
              & ( X94 != X96 )
              & ( X94 != X95 ) )
        & ! [X97: $int,X98: $int,X99: $int] :
            ~ ( $less(X98,X97)
              & ( 2 = b(X98) )
              & ( 5 = b(X97) )
              & ( 5 = a(X99) )
              & ( 10 = a(X98) )
              & ( 2 = a(X97) )
              & ( X98 != X99 )
              & ( X97 != X99 )
              & ( X97 != X98 ) )
        & ! [X100: $int,X101: $int,X102: $int,X103: $int] :
            ~ ( $less(X101,X100)
              & ( 5 = b(X103) )
              & $less(b(X102),4)
              & ( 2 = b(X101) )
              & ( 7 = a(X102) )
              & ( 10 = a(X101) )
              & ( 12 = a(X100) )
              & ( X102 != X103 )
              & ( X101 != X103 )
              & ( X101 != X102 )
              & ( X100 != X103 )
              & ( X100 != X102 )
              & ( X100 != X101 ) )
        & ! [X104: $int,X105: $int,X106: $int] :
            ~ ( $less(X105,X104)
              & $less(b(X106),4)
              & ( 2 = b(X105) )
              & ( 5 = b(X104) )
              & ( 7 = a(X106) )
              & ( 10 = a(X105) )
              & ( 12 = a(X104) )
              & ( X105 != X106 )
              & ( X104 != X106 )
              & ( X104 != X105 ) )
        & ! [X107: $int,X108: $int,X109: $int] :
            ~ ( $less(X108,X107)
              & ( 2 = b(X108) )
              & ( 5 = b(X107) )
              & ( 6 = a(X109) )
              & ( 10 = a(X108) )
              & ( 1 = a(X107) )
              & ( X108 != X109 )
              & ( X107 != X109 )
              & ( X107 != X108 ) )
        & ! [X110: $int,X111: $int,X112: $int] :
            ~ ( $less(X111,X110)
              & ( 2 = b(X112) )
              & $less(b(X111),3)
              & ( 8 = a(X112) )
              & ( 10 = a(X111) )
              & ( 12 = a(X110) )
              & ( X111 != X112 )
              & ( X110 != X112 )
              & ( X110 != X111 ) )
        & ! [X113: $int,X114: $int,X115: $int,X116: $int] :
            ~ ( $less(X114,X113)
              & ( 5 = b(X116) )
              & ( 2 = b(X115) )
              & $less(b(X114),3)
              & ( 7 = a(X115) )
              & ( 10 = a(X114) )
              & ( 1 = a(X113) )
              & ( X115 != X116 )
              & ( X114 != X116 )
              & ( X114 != X115 )
              & ( X113 != X116 )
              & ( X113 != X115 )
              & ( X113 != X114 ) )
        & ! [X117: $int,X118: $int,X119: $int] :
            ~ ( $less(X118,X117)
              & ( 2 = b(X119) )
              & $less(b(X118),3)
              & ( 5 = b(X117) )
              & ( 7 = a(X119) )
              & ( 10 = a(X118) )
              & ( 1 = a(X117) )
              & ( X118 != X119 )
              & ( X117 != X119 )
              & ( X117 != X118 ) )
        & ! [X120: $int,X121: $int,X122: $int] :
            ~ ( $less(X121,X120)
              & ( 2 = b(X121) )
              & ( 5 = b(X120) )
              & ( 4 = a(X122) )
              & ( 10 = a(X121) )
              & ( 4 = a(X120) )
              & ( X121 != X122 )
              & ( X120 != X122 )
              & ( X120 != X121 ) )
        & ! [X123: $int,X124: $int,X125: $int] :
            ~ ( $less(X124,X123)
              & ( 2 = b(X124) )
              & ( 5 = b(X123) )
              & ( 6 = a(X125) )
              & ( 10 = a(X124) )
              & ( 2 = a(X123) )
              & ( X124 != X125 )
              & ( X123 != X125 )
              & ( X123 != X124 ) )
        & ! [X126: $int,X127: $int,X128: $int] :
            ~ ( $less(X127,X126)
              & $less(b(X128),4)
              & ( 2 = b(X127) )
              & ( 8 = a(X128) )
              & ( 10 = a(X127) )
              & ( 12 = a(X126) )
              & ( X127 != X128 )
              & ( X126 != X128 )
              & ( X126 != X127 ) )
        & ! [X129: $int,X130: $int,X131: $int,X132: $int] :
            ~ ( $less(X130,X129)
              & ( 5 = b(X132) )
              & $less(b(X131),4)
              & ( 2 = b(X130) )
              & ( 7 = a(X131) )
              & ( 10 = a(X130) )
              & ( 1 = a(X129) )
              & ( X131 != X132 )
              & ( X130 != X132 )
              & ( X130 != X131 )
              & ( X129 != X132 )
              & ( X129 != X131 )
              & ( X129 != X130 ) )
        & ! [X133: $int,X134: $int,X135: $int] :
            ~ ( $less(X134,X133)
              & $less(b(X135),4)
              & ( 2 = b(X134) )
              & ( 5 = b(X133) )
              & ( 7 = a(X135) )
              & ( 10 = a(X134) )
              & ( 1 = a(X133) )
              & ( X134 != X135 )
              & ( X133 != X135 )
              & ( X133 != X134 ) )
        & ! [X136: $int,X137: $int,X138: $int,X139: $int] :
            ~ ( $less(X137,X136)
              & ( 5 = b(X139) )
              & ( 2 = b(X138) )
              & $less(b(X137),3)
              & ( 7 = a(X138) )
              & ( 10 = a(X137) )
              & ( 2 = a(X136) )
              & ( X138 != X139 )
              & ( X137 != X139 )
              & ( X137 != X138 )
              & ( X136 != X139 )
              & ( X136 != X138 )
              & ( X136 != X137 ) )
        & ! [X140: $int,X141: $int,X142: $int] :
            ~ ( $less(X141,X140)
              & ( 2 = b(X142) )
              & $less(b(X141),3)
              & ( 5 = b(X140) )
              & ( 7 = a(X142) )
              & ( 10 = a(X141) )
              & ( 2 = a(X140) )
              & ( X141 != X142 )
              & ( X140 != X142 )
              & ( X140 != X141 ) )
        & ! [X143: $int,X144: $int,X145: $int] :
            ~ ( $less(X144,X143)
              & ( 2 = b(X145) )
              & $less(b(X144),3)
              & ( 8 = a(X145) )
              & ( 10 = a(X144) )
              & ( 1 = a(X143) )
              & ( X144 != X145 )
              & ( X143 != X145 )
              & ( X143 != X144 ) )
        & ! [X146: $int,X147: $int,X148: $int] :
            ~ ( $less(X147,X146)
              & ( 2 = b(X147) )
              & ( 5 = b(X146) )
              & ( 4 = a(X148) )
              & ( 10 = a(X147) )
              & ( 5 = a(X146) )
              & ( X147 != X148 )
              & ( X146 != X148 )
              & ( X146 != X147 ) )
        & ! [X149: $int,X150: $int,X151: $int] :
            ~ ( $less(X150,X149)
              & ( 2 = b(X150) )
              & ( 5 = b(X149) )
              & ( 5 = a(X151) )
              & ( 10 = a(X150) )
              & ( 4 = a(X149) )
              & ( X150 != X151 )
              & ( X149 != X151 )
              & ( X149 != X150 ) )
        & ! [X152: $int,X153: $int,X154: $int,X155: $int] :
            ~ ( $less(X153,X152)
              & ( 5 = b(X155) )
              & $less(b(X154),4)
              & ( 2 = b(X153) )
              & ( 7 = a(X154) )
              & ( 10 = a(X153) )
              & ( 2 = a(X152) )
              & ( X154 != X155 )
              & ( X153 != X155 )
              & ( X153 != X154 )
              & ( X152 != X155 )
              & ( X152 != X154 )
              & ( X152 != X153 ) )
        & ! [X156: $int,X157: $int,X158: $int] :
            ~ ( $less(X157,X156)
              & $less(b(X158),4)
              & ( 2 = b(X157) )
              & ( 5 = b(X156) )
              & ( 7 = a(X158) )
              & ( 10 = a(X157) )
              & ( 2 = a(X156) )
              & ( X157 != X158 )
              & ( X156 != X158 )
              & ( X156 != X157 ) )
        & ! [X159: $int,X160: $int,X161: $int] :
            ~ ( $less(X160,X159)
              & $less(b(X161),4)
              & ( 2 = b(X160) )
              & ( 8 = a(X161) )
              & ( 10 = a(X160) )
              & ( 1 = a(X159) )
              & ( X160 != X161 )
              & ( X159 != X161 )
              & ( X159 != X160 ) )
        & ! [X162: $int,X163: $int,X164: $int] :
            ~ ( $less(X163,X162)
              & ( 2 = b(X163) )
              & ( 5 = b(X162) )
              & ( 4 = a(X164) )
              & ( 10 = a(X163) )
              & ( 6 = a(X162) )
              & ( X163 != X164 )
              & ( X162 != X164 )
              & ( X162 != X163 ) )
        & ! [X165: $int,X166: $int,X167: $int,X168: $int] :
            ~ ( $less(X166,X165)
              & ( 2 = b(X168) )
              & ( 2 = b(X167) )
              & $less(b(X166),3)
              & ( 5 = b(X165) )
              & ( 5 = a(X167) )
              & ( 10 = a(X166) )
              & ( 5 = a(X165) )
              & ( X167 != X168 )
              & ( X166 != X168 )
              & ( X166 != X167 )
              & ( X165 != X168 )
              & ( X165 != X167 )
              & ( X165 != X166 ) )
        & ! [X169: $int,X170: $int,X171: $int,X172: $int] :
            ~ ( $less(X170,X169)
              & ( 5 = b(X172) )
              & ( 2 = b(X171) )
              & $less(b(X170),3)
              & $less(b(X169),4)
              & ( 7 = a(X171) )
              & ( 10 = a(X170) )
              & ( 3 = a(X169) )
              & ( X171 != X172 )
              & ( X170 != X172 )
              & ( X170 != X171 )
              & ( X169 != X172 )
              & ( X169 != X171 )
              & ( X169 != X170 ) )
        & ! [X173: $int,X174: $int,X175: $int] :
            ~ ( $less(X174,X173)
              & ( 2 = b(X175) )
              & $less(b(X174),3)
              & ( 8 = a(X175) )
              & ( 10 = a(X174) )
              & ( 2 = a(X173) )
              & ( X174 != X175 )
              & ( X173 != X175 )
              & ( X173 != X174 ) )
        & ! [X176: $int,X177: $int,X178: $int] :
            ~ ( $less(X177,X176)
              & ( 2 = b(X177) )
              & ( 5 = b(X176) )
              & ( 5 = a(X178) )
              & ( 10 = a(X177) )
              & ( 5 = a(X176) )
              & ( X177 != X178 )
              & ( X176 != X178 )
              & ( X176 != X177 ) )
        & ! [X179: $int,X180: $int,X181: $int] :
            ~ ( $less(X180,X179)
              & ( 2 = b(X180) )
              & ( 5 = b(X179) )
              & ( 6 = a(X181) )
              & ( 10 = a(X180) )
              & ( 4 = a(X179) )
              & ( X180 != X181 )
              & ( X179 != X181 )
              & ( X179 != X180 ) )
        & ! [X182: $int,X183: $int,X184: $int,X185: $int] :
            ~ ( $less(X183,X182)
              & ( 5 = b(X185) )
              & $less(b(X184),4)
              & ( 2 = b(X183) )
              & $less(b(X182),4)
              & ( 7 = a(X184) )
              & ( 10 = a(X183) )
              & ( 3 = a(X182) )
              & ( X184 != X185 )
              & ( X183 != X185 )
              & ( X183 != X184 )
              & ( X182 != X185 )
              & ( X182 != X184 )
              & ( X182 != X183 ) )
        & ! [X186: $int,X187: $int,X188: $int] :
            ~ ( $less(X187,X186)
              & $less(b(X188),4)
              & ( 2 = b(X187) )
              & ( 8 = a(X188) )
              & ( 10 = a(X187) )
              & ( 2 = a(X186) )
              & ( X187 != X188 )
              & ( X186 != X188 )
              & ( X186 != X187 ) )
        & ! [X189: $int,X190: $int,X191: $int] :
            ~ ( $less(X190,X189)
              & ( 2 = b(X190) )
              & ( 5 = b(X189) )
              & ( 4 = a(X191) )
              & ( 10 = a(X190) )
              & ( 7 = a(X189) )
              & ( X190 != X191 )
              & ( X189 != X191 )
              & ( X189 != X190 ) )
        & ! [X192: $int,X193: $int,X194: $int,X195: $int] :
            ~ ( $less(X193,X192)
              & ( 2 = b(X195) )
              & $less(b(X193),3)
              & ( 5 = b(X192) )
              & ( 5 = a(X194) )
              & ( 10 = a(X193) )
              & ( 6 = a(X192) )
              & ( X194 != X195 )
              & ( X193 != X195 )
              & ( X193 != X194 )
              & ( X192 != X195 )
              & ( X192 != X194 )
              & ( X192 != X193 ) )
        & ! [X196: $int,X197: $int,X198: $int] :
            ~ ( $less(X197,X196)
              & ( 2 = b(X197) )
              & ( 5 = b(X196) )
              & ( 5 = a(X198) )
              & ( 10 = a(X197) )
              & ( 6 = a(X196) )
              & ( X197 != X198 )
              & ( X196 != X198 )
              & ( X196 != X197 ) )
        & ! [X199: $int,X200: $int,X201: $int,X202: $int] :
            ~ ( $less(X200,X199)
              & ( 2 = b(X202) )
              & $less(b(X200),3)
              & ( 5 = b(X199) )
              & ( 6 = a(X201) )
              & ( 10 = a(X200) )
              & ( 5 = a(X199) )
              & ( X201 != X202 )
              & ( X200 != X202 )
              & ( X200 != X201 )
              & ( X199 != X202 )
              & ( X199 != X201 )
              & ( X199 != X200 ) )
        & ! [X203: $int,X204: $int,X205: $int] :
            ~ ( $less(X204,X203)
              & ( 2 = b(X205) )
              & $less(b(X204),3)
              & ( 5 = b(X203) )
              & ( 6 = a(X205) )
              & ( 10 = a(X204) )
              & ( 5 = a(X203) )
              & ( X204 != X205 )
              & ( X203 != X205 )
              & ( X203 != X204 ) )
        & ! [X206: $int,X207: $int,X208: $int,X209: $int] :
            ~ ( $less(X207,X206)
              & ( 5 = b(X209) )
              & ( 2 = b(X208) )
              & $less(b(X207),3)
              & ( 7 = a(X208) )
              & ( 10 = a(X207) )
              & ( 4 = a(X206) )
              & ( X208 != X209 )
              & ( X207 != X209 )
              & ( X207 != X208 )
              & ( X206 != X209 )
              & ( X206 != X208 )
              & ( X206 != X207 ) )
        & ! [X210: $int,X211: $int,X212: $int] :
            ~ ( $less(X211,X210)
              & ( 2 = b(X212) )
              & $less(b(X211),3)
              & ( 5 = b(X210) )
              & ( 7 = a(X212) )
              & ( 10 = a(X211) )
              & ( 4 = a(X210) )
              & ( X211 != X212 )
              & ( X210 != X212 )
              & ( X210 != X211 ) )
        & ! [X213: $int,X214: $int,X215: $int] :
            ~ ( $less(X214,X213)
              & ( 2 = b(X215) )
              & $less(b(X214),3)
              & $less(b(X213),4)
              & ( 8 = a(X215) )
              & ( 10 = a(X214) )
              & ( 3 = a(X213) )
              & ( X214 != X215 )
              & ( X213 != X215 )
              & ( X213 != X214 ) )
        & ! [X216: $int,X217: $int,X218: $int] :
            ~ ( $less(X217,X216)
              & ( 2 = b(X217) )
              & ( 5 = b(X216) )
              & ( 6 = a(X218) )
              & ( 10 = a(X217) )
              & ( 5 = a(X216) )
              & ( X217 != X218 )
              & ( X216 != X218 )
              & ( X216 != X217 ) )
        & ! [X219: $int,X220: $int,X221: $int] :
            ~ ( $less(X220,X219)
              & ( 2 = b(X220) )
              & ( 5 = b(X219) )
              & ( 7 = a(X221) )
              & ( 10 = a(X220) )
              & ( 4 = a(X219) )
              & ( X220 != X221 )
              & ( X219 != X221 )
              & ( X219 != X220 ) )
        & ! [X222: $int,X223: $int,X224: $int] :
            ~ ( $less(X223,X222)
              & $less(b(X224),4)
              & ( 2 = b(X223) )
              & $less(b(X222),4)
              & ( 8 = a(X224) )
              & ( 10 = a(X223) )
              & ( 3 = a(X222) )
              & ( X223 != X224 )
              & ( X222 != X224 )
              & ( X222 != X223 ) )
        & ! [X225: $int,X226: $int,X227: $int,X228: $int] :
            ~ ( $less(X226,X225)
              & ( 2 = b(X228) )
              & $less(b(X226),3)
              & ( 5 = b(X225) )
              & ( 5 = a(X227) )
              & ( 10 = a(X226) )
              & ( 7 = a(X225) )
              & ( X227 != X228 )
              & ( X226 != X228 )
              & ( X226 != X227 )
              & ( X225 != X228 )
              & ( X225 != X227 )
              & ( X225 != X226 ) )
        & ! [X229: $int,X230: $int,X231: $int] :
            ~ ( $less(X230,X229)
              & ( 2 = b(X230) )
              & ( 5 = b(X229) )
              & ( 5 = a(X231) )
              & ( 10 = a(X230) )
              & ( 7 = a(X229) )
              & ( X230 != X231 )
              & ( X229 != X231 )
              & ( X229 != X230 ) )
        & ! [X232: $int,X233: $int,X234: $int] :
            ~ ( $less(X233,X232)
              & $less(b(X233),3)
              & ( 5 = b(X232) )
              & ( 6 = a(X234) )
              & ( 10 = a(X233) )
              & ( 6 = a(X232) )
              & ( X233 != X234 )
              & ( X232 != X234 )
              & ( X232 != X233 ) )
        & ! [X235: $int,X236: $int,X237: $int,X238: $int] :
            ~ ( $less(X236,X235)
              & ( 2 = b(X238) )
              & $less(b(X236),3)
              & ( 5 = b(X235) )
              & ( 7 = a(X237) )
              & ( 10 = a(X236) )
              & ( 5 = a(X235) )
              & ( X237 != X238 )
              & ( X236 != X238 )
              & ( X236 != X237 )
              & ( X235 != X238 )
              & ( X235 != X237 )
              & ( X235 != X236 ) )
        & ! [X239: $int,X240: $int,X241: $int] :
            ~ ( $less(X240,X239)
              & ( 2 = b(X241) )
              & $less(b(X240),3)
              & ( 5 = b(X239) )
              & ( 7 = a(X241) )
              & ( 10 = a(X240) )
              & ( 5 = a(X239) )
              & ( X240 != X241 )
              & ( X239 != X241 )
              & ( X239 != X240 ) )
        & ! [X242: $int,X243: $int,X244: $int] :
            ~ ( $less(X243,X242)
              & ( 2 = b(X244) )
              & $less(b(X243),3)
              & ( 8 = a(X244) )
              & ( 10 = a(X243) )
              & ( 4 = a(X242) )
              & ( X243 != X244 )
              & ( X242 != X244 )
              & ( X242 != X243 ) )
        & ! [X245: $int,X246: $int,X247: $int] :
            ~ ( $less(X246,X245)
              & ( 2 = b(X246) )
              & ( 5 = b(X245) )
              & ( 7 = a(X247) )
              & ( 10 = a(X246) )
              & ( 5 = a(X245) )
              & ( X246 != X247 )
              & ( X245 != X247 )
              & ( X245 != X246 ) )
        & ! [X248: $int,X249: $int,X250: $int] :
            ~ ( $less(X249,X248)
              & ( 2 = b(X249) )
              & ( 8 = a(X250) )
              & ( 10 = a(X249) )
              & ( 4 = a(X248) )
              & ( X249 != X250 )
              & ( X248 != X250 )
              & ( X248 != X249 ) )
        & ! [X251: $int,X252: $int,X253: $int] :
            ~ ( $less(X252,X251)
              & $less(b(X252),3)
              & ( 5 = b(X251) )
              & ( 6 = a(X253) )
              & ( 10 = a(X252) )
              & ( 7 = a(X251) )
              & ( X252 != X253 )
              & ( X251 != X253 )
              & ( X251 != X252 ) )
        & ! [X254: $int,X255: $int,X256: $int] :
            ~ ( $less(X255,X254)
              & $less(b(X255),3)
              & ( 5 = b(X254) )
              & ( 7 = a(X256) )
              & ( 10 = a(X255) )
              & ( 6 = a(X254) )
              & ( X255 != X256 )
              & ( X254 != X256 )
              & ( X254 != X255 ) )
        & ! [X257: $int,X258: $int,X259: $int,X260: $int] :
            ~ ( $less(X258,X257)
              & ( 2 = b(X260) )
              & $less(b(X258),3)
              & ( 8 = a(X259) )
              & ( 10 = a(X258) )
              & ( 5 = a(X257) )
              & ( X259 != X260 )
              & ( X258 != X260 )
              & ( X258 != X259 )
              & ( X257 != X260 )
              & ( X257 != X259 )
              & ( X257 != X258 ) )
        & ! [X261: $int,X262: $int,X263: $int] :
            ~ ( $less(X262,X261)
              & ( 2 = b(X263) )
              & $less(b(X262),3)
              & ( 8 = a(X263) )
              & ( 10 = a(X262) )
              & ( 5 = a(X261) )
              & ( X262 != X263 )
              & ( X261 != X263 )
              & ( X261 != X262 ) )
        & ! [X264: $int,X265: $int,X266: $int] :
            ~ ( $less(X265,X264)
              & ( 2 = b(X265) )
              & ( 8 = a(X266) )
              & ( 10 = a(X265) )
              & ( 5 = a(X264) )
              & ( X265 != X266 )
              & ( X264 != X266 )
              & ( X264 != X265 ) )
        & ! [X267: $int,X268: $int,X269: $int] :
            ~ ( $less(X268,X267)
              & ( 5 = b(X269) )
              & ( 2 = b(X268) )
              & ( 10 = a(X268) )
              & ( 4 = a(X267) )
              & ( X268 != X269 )
              & ( X267 != X269 )
              & ( X267 != X268 ) )
        & ! [X270: $int,X271: $int,X272: $int] :
            ~ ( $less(X271,X270)
              & $less(b(X271),3)
              & ( 5 = b(X270) )
              & ( 7 = a(X272) )
              & ( 10 = a(X271) )
              & ( 7 = a(X270) )
              & ( X271 != X272 )
              & ( X270 != X272 )
              & ( X270 != X271 ) )
        & ! [X273: $int,X274: $int,X275: $int] :
            ~ ( $less(X274,X273)
              & $less(b(X274),3)
              & ( 8 = a(X275) )
              & ( 10 = a(X274) )
              & ( 6 = a(X273) )
              & ( X274 != X275 )
              & ( X273 != X275 )
              & ( X273 != X274 ) )
        & ! [X276: $int,X277: $int,X278: $int,X279: $int] :
            ~ ( $less(X277,X276)
              & ( 2 = b(X279) )
              & ( 5 = b(X278) )
              & $less(b(X277),3)
              & ( 10 = a(X277) )
              & ( 5 = a(X276) )
              & ( X278 != X279 )
              & ( X277 != X279 )
              & ( X277 != X278 )
              & ( X276 != X279 )
              & ( X276 != X278 )
              & ( X276 != X277 ) )
        & ! [X280: $int,X281: $int,X282: $int] :
            ~ ( $less(X281,X280)
              & ( 5 = b(X282) )
              & ( 2 = b(X281) )
              & ( 10 = a(X281) )
              & ( 5 = a(X280) )
              & ( X281 != X282 )
              & ( X280 != X282 )
              & ( X280 != X281 ) )
        & ! [X283: $int,X284: $int,X285: $int] :
            ~ ( $less(X284,X283)
              & $less(b(X284),3)
              & ( 8 = a(X285) )
              & ( 10 = a(X284) )
              & ( 7 = a(X283) )
              & ( X284 != X285 )
              & ( X283 != X285 )
              & ( X283 != X284 ) )
        & ! [X286: $int,X287: $int,X288: $int] :
            ~ ( $less(X287,X286)
              & ( 5 = b(X288) )
              & $less(b(X287),3)
              & ( 10 = a(X287) )
              & ( 6 = a(X286) )
              & ( X287 != X288 )
              & ( X286 != X288 )
              & ( X286 != X287 ) )
        & ! [X289: $int,X290: $int,X291: $int] :
            ~ ( $less(X290,X289)
              & ( 5 = b(X291) )
              & $less(b(X290),3)
              & ( 10 = a(X290) )
              & ( 7 = a(X289) )
              & ( X290 != X291 )
              & ( X289 != X291 )
              & ( X289 != X290 ) )
        & ! [X292: $int,X293: $int] :
            ~ ( $less(X293,X292)
              & $less(b(X293),3)
              & ( 10 = a(X293) )
              & ( 8 = a(X292) )
              & ( X292 != X293 ) )
        & ! [X294: $int,X295: $int] :
            ~ ( $less(X295,X294)
              & $less(b(X295),3)
              & ( 10 = a(X295) )
              & ( 9 = a(X294) )
              & ( X294 != X295 ) )
        & ! [X296: $int,X297: $int] :
            ~ ( ( 10 = a(X297) )
              & ( 10 = a(X296) )
              & ( X296 != X297 ) )
        & ( z4 != z5 )
        & ( z3 != z5 )
        & ( z3 != z4 )
        & ( z2 != z5 )
        & ( z2 != z4 )
        & ( z2 != z3 )
        & ( z1 != z5 )
        & ( z1 != z4 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & $true
        & ! [X298: $int] :
            ( ~ $less(5,b(X298))
            & ~ $less(b(X298),1) )
        & ! [X299: $int] :
            ( ~ $less(12,a(X299))
            & ~ $less(a(X299),1) ) )
     => ~ ( $less(z2,z1)
          & ( 2 = b(z4) )
          & ( 2 = b(z3) )
          & $less(b(z2),3)
          & ( 5 = b(z1) )
          & ( 5 = a(z4) )
          & ( 6 = a(z3) )
          & ( 10 = a(z2) )
          & ( 5 = a(z1) ) ) ),
    inference(rectify,[],[f3]) ).

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

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

tff(f1,conjecture,
    ( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 2 = a(X3) )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & ( 12 = a(X3) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & ( 1 = a(X3) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X2),4)
            & $less(b(X1),3)
            & $less(b(X0),4)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 3 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & $less(b(X1),3)
            & ( 2 = a(X3) )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( 2 = a(X3) )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( 1 = a(X3) )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( a(X2) = 4 )
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 2 = a(X3) )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 2 = a(X3) )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & ( 2 = a(X3) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & ( 1 = a(X3) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( 2 = a(X3) )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & ( 2 = a(X3) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( a(X2) = 4 )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( a(X2) = 4 )
            & ( 10 = a(X1) )
            & ( 1 = a(X0) )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( a(X2) = 4 )
            & ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( 1 = a(X0) )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( 1 = a(X0) )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( 1 = a(X0) )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( 1 = a(X0) )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( a(X2) = 4 )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 12 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( 1 = a(X0) )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( 1 = a(X0) )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( 1 = a(X0) )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( a(X2) = 4 )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( 1 = a(X0) )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( a(X2) = 4 )
            & ( 10 = a(X1) )
            & ( a(X0) = 6 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & $less(b(X0),4)
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 3 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & $less(b(X0),4)
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 3 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 2 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( a(X2) = 4 )
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 6 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 6 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X3) )
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & $less(b(X0),4)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 3 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X2),4)
            & ( b(X1) = 2 )
            & $less(b(X0),4)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 3 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 5 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 6 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 6 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 6 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & $less(b(X1),3)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X2) = 2 )
            & $less(b(X1),3)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( b(X1) = 2 )
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X2) )
            & ( b(X1) = 2 )
            & ( 10 = a(X1) )
            & ( a(X0) = 4 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( b(X0) = 5 )
            & ( 7 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 6 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int,X3: $int] :
          ~ ( $less(X1,X0)
            & ( 2 = b(X3) )
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X2 != X3 )
            & ( X1 != X3 )
            & ( X1 != X2 )
            & ( X0 != X3 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X2) )
            & ( b(X1) = 2 )
            & ( 10 = a(X1) )
            & ( a(X0) = 5 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( 8 = a(X2) )
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( a(X0) = 6 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int,X2: $int] :
          ~ ( $less(X1,X0)
            & ( 5 = b(X2) )
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( a(X0) = 7 )
            & ( X1 != X2 )
            & ( X0 != X2 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( a(X0) = 8 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int] :
          ~ ( $less(X1,X0)
            & $less(b(X1),3)
            & ( 10 = a(X1) )
            & ( a(X0) = 9 )
            & ( X0 != X1 ) )
      & ! [X0: $int,X1: $int] :
          ~ ( ( 10 = a(X1) )
            & ( a(X0) = 10 )
            & ( X0 != X1 ) )
      & ( z4 != z5 )
      & ( z3 != z5 )
      & ( z3 != z4 )
      & ( z2 != z5 )
      & ( z2 != z4 )
      & ( z2 != z3 )
      & ( z1 != z5 )
      & ( z1 != z4 )
      & ( z1 != z3 )
      & ( z1 != z2 )
      & $true
      & ! [X0: $int] :
          ( $lesseq(b(X0),5)
          & $lesseq(1,b(X0)) )
      & ! [X0: $int] :
          ( $lesseq(a(X0),12)
          & $lesseq(1,a(X0)) ) )
   => ~ ( $less(z2,z1)
        & ( 2 = b(z4) )
        & ( 2 = b(z3) )
        & $less(b(z2),3)
        & ( 5 = b(z1) )
        & ( 5 = a(z4) )
        & ( 6 = a(z3) )
        & ( 10 = a(z2) )
        & ( 5 = a(z1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FFUKhz0nje/Vampire---4.8_14281',0) ).

tff(f425,plain,
    z1 = z2,
    inference(subsumption_resolution,[],[f424,f28]) ).

tff(f28,plain,
    z2 != z3,
    inference(cnf_transformation,[],[f19]) ).

tff(f424,plain,
    ( ( z2 = z3 )
    | ( z1 = z2 ) ),
    inference(subsumption_resolution,[],[f423,f124]) ).

tff(f124,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f19]) ).

tff(f423,plain,
    ( ( 10 != a(z2) )
    | ( z2 = z3 )
    | ( z1 = z2 ) ),
    inference(subsumption_resolution,[],[f418,f131]) ).

tff(f131,plain,
    $less(z2,z1),
    inference(cnf_transformation,[],[f19]) ).

tff(f418,plain,
    ( ~ $less(z2,z1)
    | ( 10 != a(z2) )
    | ( z2 = z3 )
    | ( z1 = z2 ) ),
    inference(resolution,[],[f417,f128]) ).

tff(f128,plain,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f19]) ).

tff(f417,plain,
    ! [X0: $int] :
      ( ~ $less(b(X0),3)
      | ~ $less(X0,z1)
      | ( a(X0) != 10 )
      | ( z3 = X0 )
      | ( z1 = X0 ) ),
    inference(subsumption_resolution,[],[f416,f25]) ).

tff(f25,plain,
    z1 != z3,
    inference(cnf_transformation,[],[f19]) ).

tff(f416,plain,
    ! [X0: $int] :
      ( ~ $less(b(X0),3)
      | ~ $less(X0,z1)
      | ( a(X0) != 10 )
      | ( z3 = X0 )
      | ( z1 = z3 )
      | ( z1 = X0 ) ),
    inference(subsumption_resolution,[],[f415,f123]) ).

tff(f123,plain,
    5 = a(z1),
    inference(cnf_transformation,[],[f19]) ).

tff(f415,plain,
    ! [X0: $int] :
      ( ~ $less(b(X0),3)
      | ~ $less(X0,z1)
      | ( a(X0) != 10 )
      | ( 5 != a(z1) )
      | ( z3 = X0 )
      | ( z1 = z3 )
      | ( z1 = X0 ) ),
    inference(trivial_inequality_removal,[],[f412]) ).

tff(f412,plain,
    ! [X0: $int] :
      ( ( 5 != 5 )
      | ~ $less(b(X0),3)
      | ~ $less(X0,z1)
      | ( a(X0) != 10 )
      | ( 5 != a(z1) )
      | ( z3 = X0 )
      | ( z1 = z3 )
      | ( z1 = X0 ) ),
    inference(superposition,[],[f410,f127]) ).

tff(f127,plain,
    5 = b(z1),
    inference(cnf_transformation,[],[f19]) ).

tff(f410,plain,
    ! [X2: $int,X3: $int] :
      ( ( 5 != b(X3) )
      | ~ $less(b(X2),3)
      | ~ $less(X2,X3)
      | ( 10 != a(X2) )
      | ( 5 != a(X3) )
      | ( z3 = X2 )
      | ( z3 = X3 )
      | ( X2 = X3 ) ),
    inference(subsumption_resolution,[],[f409,f125]) ).

tff(f125,plain,
    6 = a(z3),
    inference(cnf_transformation,[],[f19]) ).

tff(f409,plain,
    ! [X2: $int,X3: $int] :
      ( ~ $less(X2,X3)
      | ~ $less(b(X2),3)
      | ( 5 != b(X3) )
      | ( 6 != a(z3) )
      | ( 10 != a(X2) )
      | ( 5 != a(X3) )
      | ( z3 = X2 )
      | ( z3 = X3 )
      | ( X2 = X3 ) ),
    inference(trivial_inequality_removal,[],[f406]) ).

tff(f406,plain,
    ! [X2: $int,X3: $int] :
      ( ( 2 != 2 )
      | ~ $less(X2,X3)
      | ~ $less(b(X2),3)
      | ( 5 != b(X3) )
      | ( 6 != a(z3) )
      | ( 10 != a(X2) )
      | ( 5 != a(X3) )
      | ( z3 = X2 )
      | ( z3 = X3 )
      | ( X2 = X3 ) ),
    inference(superposition,[],[f64,f129]) ).

tff(f129,plain,
    2 = b(z3),
    inference(cnf_transformation,[],[f19]) ).

tff(f64,plain,
    ! [X205: $int,X203: $int,X204: $int] :
      ( ( 2 != b(X205) )
      | ~ $less(X204,X203)
      | ~ $less(b(X204),3)
      | ( 5 != b(X203) )
      | ( 6 != a(X205) )
      | ( 10 != a(X204) )
      | ( 5 != a(X203) )
      | ( X204 = X205 )
      | ( X203 = X205 )
      | ( X203 = X204 ) ),
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWW006_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n019.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Wed Aug 30 16:42:57 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.43  % (14387)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (14388)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.44  % (14389)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.44  % (14391)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.44  % (14390)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.44  % (14392)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.23/0.44  % (14393)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.23/0.44  % (14394)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.23/0.45  % (14388)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.45  % (14388)Terminated due to inappropriate strategy.
% 0.23/0.45  % (14388)------------------------------
% 0.23/0.45  % (14388)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45  % (14388)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45  % (14388)Termination reason: Inappropriate
% 0.23/0.45  
% 0.23/0.45  % (14388)Memory used [KB]: 1407
% 0.23/0.45  % (14388)Time elapsed: 0.007 s
% 0.23/0.45  % (14388)------------------------------
% 0.23/0.45  % (14388)------------------------------
% 0.23/0.45  % (14389)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.45  % (14389)Terminated due to inappropriate strategy.
% 0.23/0.45  % (14389)------------------------------
% 0.23/0.45  % (14389)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45  % (14389)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45  % (14389)Termination reason: Inappropriate
% 0.23/0.45  
% 0.23/0.45  % (14389)Memory used [KB]: 1407
% 0.23/0.45  % (14389)Time elapsed: 0.007 s
% 0.23/0.45  % (14389)------------------------------
% 0.23/0.45  % (14389)------------------------------
% 0.23/0.45  % (14391)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.45  % (14391)Terminated due to inappropriate strategy.
% 0.23/0.45  % (14391)------------------------------
% 0.23/0.45  % (14391)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45  % (14391)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45  % (14391)Termination reason: Inappropriate
% 0.23/0.45  
% 0.23/0.45  % (14391)Memory used [KB]: 1407
% 0.23/0.45  % (14391)Time elapsed: 0.007 s
% 0.23/0.45  % (14391)------------------------------
% 0.23/0.45  % (14391)------------------------------
% 0.23/0.45  % (14395)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.23/0.45  % (14396)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.23/0.45  % (14397)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.23/0.46  % (14395)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.46  % (14395)Terminated due to inappropriate strategy.
% 0.23/0.46  % (14395)------------------------------
% 0.23/0.46  % (14395)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46  % (14395)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46  % (14395)Termination reason: Inappropriate
% 0.23/0.46  
% 0.23/0.46  % (14395)Memory used [KB]: 1407
% 0.23/0.46  % (14395)Time elapsed: 0.007 s
% 0.23/0.46  % (14395)------------------------------
% 0.23/0.46  % (14395)------------------------------
% 0.23/0.46  % (14398)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 0.23/0.49  % (14397)First to succeed.
% 0.23/0.51  % (14397)Refutation found. Thanks to Tanya!
% 0.23/0.51  % SZS status Theorem for Vampire---4
% 0.23/0.51  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.51  % (14397)------------------------------
% 0.23/0.51  % (14397)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.51  % (14397)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.51  % (14397)Termination reason: Refutation
% 0.23/0.51  
% 0.23/0.51  % (14397)Memory used [KB]: 6780
% 0.23/0.51  % (14397)Time elapsed: 0.053 s
% 0.23/0.51  % (14397)------------------------------
% 0.23/0.51  % (14397)------------------------------
% 0.23/0.51  % (14387)Success in time 0.127 s
% 0.23/0.51  14390 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.FFUKhz0nje/Vampire---4.8_14281
% 0.23/0.51  % (14390)------------------------------
% 0.23/0.51  % (14390)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.51  % (14390)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.51  % (14390)Termination reason: Unknown
% 0.23/0.51  % (14390)Termination phase: Saturation
% 0.23/0.51  
% 0.23/0.51  % (14390)Memory used [KB]: 6012
% 0.23/0.51  % (14390)Time elapsed: 0.067 s
% 0.23/0.51  % (14390)------------------------------
% 0.23/0.51  % (14390)------------------------------
% 0.23/0.51  % Vampire---4.8 exiting
%------------------------------------------------------------------------------