TSTP Solution File: SWW004_1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW004_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n025.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 : Mon Jun 24 18:47:19 EDT 2024

% Result   : Theorem 12.36s 2.20s
% Output   : Refutation 12.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   21 (  13 unt;   0 typ;   0 def)
%            Number of atoms       : 6343 (5235 equ)
%            Maximal formula atoms :  903 ( 302 avg)
%            Number of connectives : 9658 (3336   ~;1599   |;4718   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  109 (  37 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     : 6360 (1103 atm;   0 fun;3237 num;2020 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   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   : 2020 (2020   !;   0   ?;2020   :)

% 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(f29422,plain,
    $false,
    inference(unit_resulting_resolution,[],[f24,f25,f26,f28,f29,f31,f127,f120,f125,f123,f121,f124,f109]) ).

tff(f109,plain,
    ! [X40: $int,X41: $int,X42: $int,X43: $int] :
      ( ~ $less(b(X41),3)
      | ( 5 != b(X42) )
      | ~ $less(X41,X40)
      | ( 1 != a(X43) )
      | ( 10 != a(X41) )
      | ( 5 != a(X40) )
      | ( X42 = X43 )
      | ( X41 = X43 )
      | ( X41 = X42 )
      | ( X40 = X43 )
      | ( X40 = X42 )
      | ( X40 = X41 ) ),
    inference(cnf_transformation,[],[f19]) ).

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

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

tff(f17,plain,
    ~ ( ( ! [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 ) )
        & ! [X4: $int,X5: $int,X6: $int,X7: $int] :
            ~ ( $less(X5,X4)
              & ( 2 = b(X7) )
              & $less(b(X5),3)
              & ( 5 = b(X4) )
              & ( 7 = a(X6) )
              & ( 10 = a(X5) )
              & ( 4 = 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)
              & ( 2 = b(X11) )
              & $less(b(X10),4)
              & $less(b(X9),3)
              & $less(b(X8),4)
              & ( 8 = a(X10) )
              & ( 10 = a(X9) )
              & ( 3 = 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(X15) )
              & $less(b(X13),3)
              & ( 2 = a(X15) )
              & ( 7 = a(X14) )
              & ( 10 = a(X13) )
              & ( 5 = 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)
              & $less(b(X17),3)
              & ( 2 = a(X19) )
              & ( 8 = 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)
              & $less(b(X21),3)
              & ( 1 = a(X23) )
              & ( 8 = a(X22) )
              & ( 10 = a(X21) )
              & ( 5 = 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)
              & ( 2 = b(X27) )
              & $less(b(X25),3)
              & ( 5 = b(X24) )
              & ( 4 = a(X26) )
              & ( 10 = a(X25) )
              & ( 7 = 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)
              & ( 5 = b(X28) )
              & ( 2 = a(X31) )
              & ( 5 = a(X30) )
              & ( 10 = a(X29) )
              & ( 7 = 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)
              & ( 5 = b(X32) )
              & ( 2 = a(X35) )
              & ( 7 = 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)
              & ( 5 = b(X38) )
              & $less(b(X37),3)
              & ( 2 = a(X39) )
              & ( 10 = a(X37) )
              & ( 4 = 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)
              & ( 5 = b(X42) )
              & $less(b(X41),3)
              & ( 1 = a(X43) )
              & ( 10 = a(X41) )
              & ( 5 = 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)
              & ( 2 = b(X47) )
              & $less(b(X45),3)
              & ( 8 = a(X46) )
              & ( 10 = a(X45) )
              & ( 4 = 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)
              & $less(b(X49),3)
              & ( 2 = a(X51) )
              & ( 8 = a(X50) )
              & ( 10 = a(X49) )
              & ( 5 = 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)
              & ( 2 = b(X55) )
              & ( 5 = b(X54) )
              & $less(b(X53),3)
              & ( 10 = a(X53) )
              & ( 4 = 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)
              & ( 5 = b(X58) )
              & $less(b(X57),3)
              & ( 2 = a(X59) )
              & ( 10 = a(X57) )
              & ( 5 = a(X56) )
              & ( X58 != X59 )
              & ( X57 != X59 )
              & ( X57 != X58 )
              & ( X56 != X59 )
              & ( X56 != X58 )
              & ( X56 != X57 ) )
        & ! [X60: $int,X61: $int,X62: $int] :
            ~ ( $less(X61,X60)
              & ( 2 = b(X61) )
              & ( 5 = b(X60) )
              & ( 4 = a(X62) )
              & ( 10 = a(X61) )
              & ( 12 = a(X60) )
              & ( X61 != X62 )
              & ( X60 != X62 )
              & ( X60 != X61 ) )
        & ! [X63: $int,X64: $int,X65: $int] :
            ~ ( $less(X64,X63)
              & ( 2 = b(X64) )
              & ( 5 = b(X63) )
              & ( 5 = a(X65) )
              & ( 10 = a(X64) )
              & ( 12 = a(X63) )
              & ( X64 != X65 )
              & ( X63 != X65 )
              & ( X63 != X64 ) )
        & ! [X66: $int,X67: $int,X68: $int] :
            ~ ( $less(X67,X66)
              & ( 2 = b(X67) )
              & ( 5 = b(X66) )
              & ( 4 = a(X68) )
              & ( 10 = a(X67) )
              & ( 1 = a(X66) )
              & ( X67 != X68 )
              & ( X66 != X68 )
              & ( X66 != X67 ) )
        & ! [X69: $int,X70: $int,X71: $int] :
            ~ ( $less(X70,X69)
              & ( 2 = b(X70) )
              & ( 5 = b(X69) )
              & ( 4 = a(X71) )
              & ( 10 = a(X70) )
              & ( 2 = a(X69) )
              & ( X70 != X71 )
              & ( X69 != X71 )
              & ( X69 != X70 ) )
        & ! [X72: $int,X73: $int,X74: $int] :
            ~ ( $less(X73,X72)
              & ( 2 = b(X73) )
              & ( 5 = b(X72) )
              & ( 6 = 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) )
              & ( 1 = a(X75) )
              & ( X76 != X77 )
              & ( X75 != X77 )
              & ( X75 != X76 ) )
        & ! [X78: $int,X79: $int,X80: $int,X81: $int] :
            ~ ( $less(X79,X78)
              & ( 5 = b(X81) )
              & ( 2 = b(X80) )
              & $less(b(X79),3)
              & ( 7 = a(X80) )
              & ( 10 = a(X79) )
              & ( 12 = a(X78) )
              & ( X80 != X81 )
              & ( X79 != X81 )
              & ( X79 != X80 )
              & ( X78 != X81 )
              & ( X78 != X80 )
              & ( X78 != X79 ) )
        & ! [X82: $int,X83: $int,X84: $int] :
            ~ ( $less(X83,X82)
              & ( 2 = b(X84) )
              & $less(b(X83),3)
              & ( 5 = b(X82) )
              & ( 7 = a(X84) )
              & ( 10 = a(X83) )
              & ( 12 = a(X82) )
              & ( X83 != X84 )
              & ( X82 != X84 )
              & ( X82 != X83 ) )
        & ! [X85: $int,X86: $int,X87: $int] :
            ~ ( $less(X86,X85)
              & ( 2 = b(X86) )
              & ( 5 = b(X85) )
              & ( 5 = a(X87) )
              & ( 10 = a(X86) )
              & ( 2 = a(X85) )
              & ( X86 != X87 )
              & ( X85 != X87 )
              & ( X85 != X86 ) )
        & ! [X88: $int,X89: $int,X90: $int,X91: $int] :
            ~ ( $less(X89,X88)
              & ( 5 = b(X91) )
              & $less(b(X90),4)
              & ( 2 = b(X89) )
              & ( 7 = a(X90) )
              & ( 10 = a(X89) )
              & ( 12 = a(X88) )
              & ( X90 != X91 )
              & ( X89 != X91 )
              & ( X89 != X90 )
              & ( X88 != X91 )
              & ( X88 != X90 )
              & ( X88 != X89 ) )
        & ! [X92: $int,X93: $int,X94: $int] :
            ~ ( $less(X93,X92)
              & $less(b(X94),4)
              & ( 2 = b(X93) )
              & ( 5 = b(X92) )
              & ( 7 = a(X94) )
              & ( 10 = a(X93) )
              & ( 12 = a(X92) )
              & ( X93 != X94 )
              & ( X92 != X94 )
              & ( X92 != X93 ) )
        & ! [X95: $int,X96: $int,X97: $int] :
            ~ ( $less(X96,X95)
              & ( 2 = b(X96) )
              & ( 5 = b(X95) )
              & ( 6 = a(X97) )
              & ( 10 = a(X96) )
              & ( 1 = a(X95) )
              & ( X96 != X97 )
              & ( X95 != X97 )
              & ( X95 != X96 ) )
        & ! [X98: $int,X99: $int,X100: $int] :
            ~ ( $less(X99,X98)
              & ( 2 = b(X100) )
              & $less(b(X99),3)
              & ( 8 = a(X100) )
              & ( 10 = a(X99) )
              & ( 12 = a(X98) )
              & ( X99 != X100 )
              & ( X98 != X100 )
              & ( X98 != X99 ) )
        & ! [X101: $int,X102: $int,X103: $int,X104: $int] :
            ~ ( $less(X102,X101)
              & ( 5 = b(X104) )
              & ( 2 = b(X103) )
              & $less(b(X102),3)
              & ( 7 = a(X103) )
              & ( 10 = a(X102) )
              & ( 1 = a(X101) )
              & ( X103 != X104 )
              & ( X102 != X104 )
              & ( X102 != X103 )
              & ( X101 != X104 )
              & ( X101 != X103 )
              & ( X101 != X102 ) )
        & ! [X105: $int,X106: $int,X107: $int] :
            ~ ( $less(X106,X105)
              & ( 2 = b(X107) )
              & $less(b(X106),3)
              & ( 5 = b(X105) )
              & ( 7 = a(X107) )
              & ( 10 = a(X106) )
              & ( 1 = a(X105) )
              & ( X106 != X107 )
              & ( X105 != X107 )
              & ( X105 != X106 ) )
        & ! [X108: $int,X109: $int,X110: $int] :
            ~ ( $less(X109,X108)
              & ( 2 = b(X109) )
              & ( 5 = b(X108) )
              & ( 4 = a(X110) )
              & ( 10 = a(X109) )
              & ( 4 = a(X108) )
              & ( X109 != X110 )
              & ( X108 != X110 )
              & ( X108 != X109 ) )
        & ! [X111: $int,X112: $int,X113: $int] :
            ~ ( $less(X112,X111)
              & ( 2 = b(X112) )
              & ( 5 = b(X111) )
              & ( 6 = a(X113) )
              & ( 10 = a(X112) )
              & ( 2 = a(X111) )
              & ( X112 != X113 )
              & ( X111 != X113 )
              & ( X111 != X112 ) )
        & ! [X114: $int,X115: $int,X116: $int] :
            ~ ( $less(X115,X114)
              & $less(b(X116),4)
              & ( 2 = b(X115) )
              & ( 8 = a(X116) )
              & ( 10 = a(X115) )
              & ( 12 = a(X114) )
              & ( X115 != X116 )
              & ( X114 != X116 )
              & ( X114 != X115 ) )
        & ! [X117: $int,X118: $int,X119: $int,X120: $int] :
            ~ ( $less(X118,X117)
              & ( 5 = b(X120) )
              & $less(b(X119),4)
              & ( 2 = b(X118) )
              & ( 7 = a(X119) )
              & ( 10 = a(X118) )
              & ( 1 = a(X117) )
              & ( X119 != X120 )
              & ( X118 != X120 )
              & ( X118 != X119 )
              & ( X117 != X120 )
              & ( X117 != X119 )
              & ( X117 != X118 ) )
        & ! [X121: $int,X122: $int,X123: $int] :
            ~ ( $less(X122,X121)
              & $less(b(X123),4)
              & ( 2 = b(X122) )
              & ( 5 = b(X121) )
              & ( 7 = a(X123) )
              & ( 10 = a(X122) )
              & ( 1 = a(X121) )
              & ( X122 != X123 )
              & ( X121 != X123 )
              & ( X121 != X122 ) )
        & ! [X124: $int,X125: $int,X126: $int,X127: $int] :
            ~ ( $less(X125,X124)
              & ( 5 = b(X127) )
              & ( 2 = b(X126) )
              & $less(b(X125),3)
              & ( 7 = a(X126) )
              & ( 10 = a(X125) )
              & ( 2 = a(X124) )
              & ( X126 != X127 )
              & ( X125 != X127 )
              & ( X125 != X126 )
              & ( X124 != X127 )
              & ( X124 != X126 )
              & ( X124 != X125 ) )
        & ! [X128: $int,X129: $int,X130: $int] :
            ~ ( $less(X129,X128)
              & ( 2 = b(X130) )
              & $less(b(X129),3)
              & ( 5 = b(X128) )
              & ( 7 = a(X130) )
              & ( 10 = a(X129) )
              & ( 2 = a(X128) )
              & ( X129 != X130 )
              & ( X128 != X130 )
              & ( X128 != X129 ) )
        & ! [X131: $int,X132: $int,X133: $int] :
            ~ ( $less(X132,X131)
              & ( 2 = b(X133) )
              & $less(b(X132),3)
              & ( 8 = a(X133) )
              & ( 10 = a(X132) )
              & ( 1 = a(X131) )
              & ( X132 != X133 )
              & ( X131 != X133 )
              & ( X131 != X132 ) )
        & ! [X134: $int,X135: $int,X136: $int] :
            ~ ( $less(X135,X134)
              & ( 2 = b(X135) )
              & ( 5 = b(X134) )
              & ( 4 = a(X136) )
              & ( 10 = a(X135) )
              & ( 5 = a(X134) )
              & ( X135 != X136 )
              & ( X134 != X136 )
              & ( X134 != X135 ) )
        & ! [X137: $int,X138: $int,X139: $int] :
            ~ ( $less(X138,X137)
              & ( 2 = b(X138) )
              & ( 5 = b(X137) )
              & ( 5 = a(X139) )
              & ( 10 = a(X138) )
              & ( 4 = a(X137) )
              & ( X138 != X139 )
              & ( X137 != X139 )
              & ( X137 != X138 ) )
        & ! [X140: $int,X141: $int,X142: $int,X143: $int] :
            ~ ( $less(X141,X140)
              & ( 5 = b(X143) )
              & $less(b(X142),4)
              & ( 2 = b(X141) )
              & ( 7 = a(X142) )
              & ( 10 = a(X141) )
              & ( 2 = a(X140) )
              & ( X142 != X143 )
              & ( X141 != X143 )
              & ( X141 != X142 )
              & ( X140 != X143 )
              & ( X140 != X142 )
              & ( X140 != X141 ) )
        & ! [X144: $int,X145: $int,X146: $int] :
            ~ ( $less(X145,X144)
              & $less(b(X146),4)
              & ( 2 = b(X145) )
              & ( 5 = b(X144) )
              & ( 7 = a(X146) )
              & ( 10 = a(X145) )
              & ( 2 = a(X144) )
              & ( X145 != X146 )
              & ( X144 != X146 )
              & ( X144 != X145 ) )
        & ! [X147: $int,X148: $int,X149: $int] :
            ~ ( $less(X148,X147)
              & $less(b(X149),4)
              & ( 2 = b(X148) )
              & ( 8 = a(X149) )
              & ( 10 = a(X148) )
              & ( 1 = a(X147) )
              & ( X148 != X149 )
              & ( X147 != X149 )
              & ( X147 != X148 ) )
        & ! [X150: $int,X151: $int,X152: $int] :
            ~ ( $less(X151,X150)
              & ( 2 = b(X151) )
              & ( 5 = b(X150) )
              & ( 4 = a(X152) )
              & ( 10 = a(X151) )
              & ( 6 = a(X150) )
              & ( X151 != X152 )
              & ( X150 != X152 )
              & ( X150 != X151 ) )
        & ! [X153: $int,X154: $int,X155: $int,X156: $int] :
            ~ ( $less(X154,X153)
              & ( 2 = b(X156) )
              & ( 2 = b(X155) )
              & $less(b(X154),3)
              & ( 5 = b(X153) )
              & ( 5 = a(X155) )
              & ( 10 = a(X154) )
              & ( 5 = a(X153) )
              & ( X155 != X156 )
              & ( X154 != X156 )
              & ( X154 != X155 )
              & ( X153 != X156 )
              & ( X153 != X155 )
              & ( X153 != X154 ) )
        & ! [X157: $int,X158: $int,X159: $int,X160: $int] :
            ~ ( $less(X158,X157)
              & ( 5 = b(X160) )
              & ( 2 = b(X159) )
              & $less(b(X158),3)
              & $less(b(X157),4)
              & ( 7 = a(X159) )
              & ( 10 = a(X158) )
              & ( 3 = a(X157) )
              & ( X159 != X160 )
              & ( X158 != X160 )
              & ( X158 != X159 )
              & ( X157 != X160 )
              & ( X157 != X159 )
              & ( X157 != X158 ) )
        & ! [X161: $int,X162: $int,X163: $int] :
            ~ ( $less(X162,X161)
              & ( 2 = b(X163) )
              & $less(b(X162),3)
              & ( 8 = a(X163) )
              & ( 10 = a(X162) )
              & ( 2 = a(X161) )
              & ( X162 != X163 )
              & ( X161 != X163 )
              & ( X161 != X162 ) )
        & ! [X164: $int,X165: $int,X166: $int] :
            ~ ( $less(X165,X164)
              & ( 2 = b(X165) )
              & ( 5 = b(X164) )
              & ( 5 = a(X166) )
              & ( 10 = a(X165) )
              & ( 5 = a(X164) )
              & ( X165 != X166 )
              & ( X164 != X166 )
              & ( X164 != X165 ) )
        & ! [X167: $int,X168: $int,X169: $int] :
            ~ ( $less(X168,X167)
              & ( 2 = b(X168) )
              & ( 5 = b(X167) )
              & ( 6 = a(X169) )
              & ( 10 = a(X168) )
              & ( 4 = a(X167) )
              & ( X168 != X169 )
              & ( X167 != X169 )
              & ( X167 != X168 ) )
        & ! [X170: $int,X171: $int,X172: $int,X173: $int] :
            ~ ( $less(X171,X170)
              & ( 5 = b(X173) )
              & $less(b(X172),4)
              & ( 2 = b(X171) )
              & $less(b(X170),4)
              & ( 7 = a(X172) )
              & ( 10 = a(X171) )
              & ( 3 = a(X170) )
              & ( X172 != X173 )
              & ( X171 != X173 )
              & ( X171 != X172 )
              & ( X170 != X173 )
              & ( X170 != X172 )
              & ( X170 != X171 ) )
        & ! [X174: $int,X175: $int,X176: $int] :
            ~ ( $less(X175,X174)
              & $less(b(X176),4)
              & ( 2 = b(X175) )
              & ( 8 = a(X176) )
              & ( 10 = a(X175) )
              & ( 2 = a(X174) )
              & ( X175 != X176 )
              & ( X174 != X176 )
              & ( X174 != X175 ) )
        & ! [X177: $int,X178: $int,X179: $int] :
            ~ ( $less(X178,X177)
              & ( 2 = b(X178) )
              & ( 5 = b(X177) )
              & ( 4 = a(X179) )
              & ( 10 = a(X178) )
              & ( 7 = a(X177) )
              & ( X178 != X179 )
              & ( X177 != X179 )
              & ( X177 != X178 ) )
        & ! [X180: $int,X181: $int,X182: $int,X183: $int] :
            ~ ( $less(X181,X180)
              & ( 2 = b(X183) )
              & $less(b(X181),3)
              & ( 5 = b(X180) )
              & ( 5 = a(X182) )
              & ( 10 = a(X181) )
              & ( 6 = a(X180) )
              & ( X182 != X183 )
              & ( X181 != X183 )
              & ( X181 != X182 )
              & ( X180 != X183 )
              & ( X180 != X182 )
              & ( X180 != X181 ) )
        & ! [X184: $int,X185: $int,X186: $int] :
            ~ ( $less(X185,X184)
              & ( 2 = b(X185) )
              & ( 5 = b(X184) )
              & ( 5 = a(X186) )
              & ( 10 = a(X185) )
              & ( 6 = a(X184) )
              & ( X185 != X186 )
              & ( X184 != X186 )
              & ( X184 != X185 ) )
        & ! [X187: $int,X188: $int,X189: $int,X190: $int] :
            ~ ( $less(X188,X187)
              & ( 2 = b(X190) )
              & $less(b(X188),3)
              & ( 5 = b(X187) )
              & ( 6 = a(X189) )
              & ( 10 = a(X188) )
              & ( 5 = a(X187) )
              & ( X189 != X190 )
              & ( X188 != X190 )
              & ( X188 != X189 )
              & ( X187 != X190 )
              & ( X187 != X189 )
              & ( X187 != X188 ) )
        & ! [X191: $int,X192: $int,X193: $int] :
            ~ ( $less(X192,X191)
              & ( 2 = b(X193) )
              & $less(b(X192),3)
              & ( 5 = b(X191) )
              & ( 6 = a(X193) )
              & ( 10 = a(X192) )
              & ( 5 = a(X191) )
              & ( X192 != X193 )
              & ( X191 != X193 )
              & ( X191 != X192 ) )
        & ! [X194: $int,X195: $int,X196: $int,X197: $int] :
            ~ ( $less(X195,X194)
              & ( 5 = b(X197) )
              & ( 2 = b(X196) )
              & $less(b(X195),3)
              & ( 7 = a(X196) )
              & ( 10 = a(X195) )
              & ( 4 = a(X194) )
              & ( X196 != X197 )
              & ( X195 != X197 )
              & ( X195 != X196 )
              & ( X194 != X197 )
              & ( X194 != X196 )
              & ( X194 != X195 ) )
        & ! [X198: $int,X199: $int,X200: $int] :
            ~ ( $less(X199,X198)
              & ( 2 = b(X200) )
              & $less(b(X199),3)
              & ( 5 = b(X198) )
              & ( 7 = a(X200) )
              & ( 10 = a(X199) )
              & ( 4 = a(X198) )
              & ( X199 != X200 )
              & ( X198 != X200 )
              & ( X198 != X199 ) )
        & ! [X201: $int,X202: $int,X203: $int] :
            ~ ( $less(X202,X201)
              & ( 2 = b(X203) )
              & $less(b(X202),3)
              & $less(b(X201),4)
              & ( 8 = a(X203) )
              & ( 10 = a(X202) )
              & ( 3 = a(X201) )
              & ( X202 != X203 )
              & ( X201 != X203 )
              & ( X201 != X202 ) )
        & ! [X204: $int,X205: $int,X206: $int] :
            ~ ( $less(X205,X204)
              & ( 2 = b(X205) )
              & ( 5 = b(X204) )
              & ( 6 = a(X206) )
              & ( 10 = a(X205) )
              & ( 5 = a(X204) )
              & ( X205 != X206 )
              & ( X204 != X206 )
              & ( X204 != X205 ) )
        & ! [X207: $int,X208: $int,X209: $int] :
            ~ ( $less(X208,X207)
              & ( 2 = b(X208) )
              & ( 5 = b(X207) )
              & ( 7 = a(X209) )
              & ( 10 = a(X208) )
              & ( 4 = a(X207) )
              & ( X208 != X209 )
              & ( X207 != X209 )
              & ( X207 != X208 ) )
        & ! [X210: $int,X211: $int,X212: $int] :
            ~ ( $less(X211,X210)
              & $less(b(X212),4)
              & ( 2 = b(X211) )
              & $less(b(X210),4)
              & ( 8 = a(X212) )
              & ( 10 = a(X211) )
              & ( 3 = a(X210) )
              & ( X211 != X212 )
              & ( X210 != X212 )
              & ( X210 != X211 ) )
        & ! [X213: $int,X214: $int,X215: $int,X216: $int] :
            ~ ( $less(X214,X213)
              & ( 2 = b(X216) )
              & $less(b(X214),3)
              & ( 5 = b(X213) )
              & ( 5 = a(X215) )
              & ( 10 = a(X214) )
              & ( 7 = a(X213) )
              & ( X215 != X216 )
              & ( X214 != X216 )
              & ( X214 != X215 )
              & ( X213 != X216 )
              & ( X213 != X215 )
              & ( X213 != X214 ) )
        & ! [X217: $int,X218: $int,X219: $int] :
            ~ ( $less(X218,X217)
              & ( 2 = b(X218) )
              & ( 5 = b(X217) )
              & ( 5 = a(X219) )
              & ( 10 = a(X218) )
              & ( 7 = a(X217) )
              & ( X218 != X219 )
              & ( X217 != X219 )
              & ( X217 != X218 ) )
        & ! [X220: $int,X221: $int,X222: $int] :
            ~ ( $less(X221,X220)
              & $less(b(X221),3)
              & ( 5 = b(X220) )
              & ( 6 = a(X222) )
              & ( 10 = a(X221) )
              & ( 6 = a(X220) )
              & ( X221 != X222 )
              & ( X220 != X222 )
              & ( X220 != X221 ) )
        & ! [X223: $int,X224: $int,X225: $int,X226: $int] :
            ~ ( $less(X224,X223)
              & ( 2 = b(X226) )
              & $less(b(X224),3)
              & ( 5 = b(X223) )
              & ( 7 = a(X225) )
              & ( 10 = a(X224) )
              & ( 5 = a(X223) )
              & ( X225 != X226 )
              & ( X224 != X226 )
              & ( X224 != X225 )
              & ( X223 != X226 )
              & ( X223 != X225 )
              & ( X223 != X224 ) )
        & ! [X227: $int,X228: $int,X229: $int] :
            ~ ( $less(X228,X227)
              & ( 2 = b(X229) )
              & $less(b(X228),3)
              & ( 5 = b(X227) )
              & ( 7 = a(X229) )
              & ( 10 = a(X228) )
              & ( 5 = a(X227) )
              & ( X228 != X229 )
              & ( X227 != X229 )
              & ( X227 != X228 ) )
        & ! [X230: $int,X231: $int,X232: $int] :
            ~ ( $less(X231,X230)
              & ( 2 = b(X232) )
              & $less(b(X231),3)
              & ( 8 = a(X232) )
              & ( 10 = a(X231) )
              & ( 4 = a(X230) )
              & ( X231 != X232 )
              & ( X230 != X232 )
              & ( X230 != X231 ) )
        & ! [X233: $int,X234: $int,X235: $int] :
            ~ ( $less(X234,X233)
              & ( 2 = b(X234) )
              & ( 5 = b(X233) )
              & ( 7 = a(X235) )
              & ( 10 = a(X234) )
              & ( 5 = a(X233) )
              & ( X234 != X235 )
              & ( X233 != X235 )
              & ( X233 != X234 ) )
        & ! [X236: $int,X237: $int,X238: $int] :
            ~ ( $less(X237,X236)
              & ( 2 = b(X237) )
              & ( 8 = a(X238) )
              & ( 10 = a(X237) )
              & ( 4 = a(X236) )
              & ( X237 != X238 )
              & ( X236 != X238 )
              & ( X236 != X237 ) )
        & ! [X239: $int,X240: $int,X241: $int] :
            ~ ( $less(X240,X239)
              & $less(b(X240),3)
              & ( 5 = b(X239) )
              & ( 6 = a(X241) )
              & ( 10 = a(X240) )
              & ( 7 = a(X239) )
              & ( X240 != X241 )
              & ( X239 != X241 )
              & ( X239 != X240 ) )
        & ! [X242: $int,X243: $int,X244: $int] :
            ~ ( $less(X243,X242)
              & $less(b(X243),3)
              & ( 5 = b(X242) )
              & ( 7 = a(X244) )
              & ( 10 = a(X243) )
              & ( 6 = a(X242) )
              & ( X243 != X244 )
              & ( X242 != X244 )
              & ( X242 != X243 ) )
        & ! [X245: $int,X246: $int,X247: $int,X248: $int] :
            ~ ( $less(X246,X245)
              & ( 2 = b(X248) )
              & $less(b(X246),3)
              & ( 8 = a(X247) )
              & ( 10 = a(X246) )
              & ( 5 = a(X245) )
              & ( X247 != X248 )
              & ( X246 != X248 )
              & ( X246 != X247 )
              & ( X245 != X248 )
              & ( X245 != X247 )
              & ( X245 != X246 ) )
        & ! [X249: $int,X250: $int,X251: $int] :
            ~ ( $less(X250,X249)
              & ( 2 = b(X251) )
              & $less(b(X250),3)
              & ( 8 = a(X251) )
              & ( 10 = a(X250) )
              & ( 5 = a(X249) )
              & ( X250 != X251 )
              & ( X249 != X251 )
              & ( X249 != X250 ) )
        & ! [X252: $int,X253: $int,X254: $int] :
            ~ ( $less(X253,X252)
              & ( 2 = b(X253) )
              & ( 8 = a(X254) )
              & ( 10 = a(X253) )
              & ( 5 = a(X252) )
              & ( X253 != X254 )
              & ( X252 != X254 )
              & ( X252 != X253 ) )
        & ! [X255: $int,X256: $int,X257: $int] :
            ~ ( $less(X256,X255)
              & ( 5 = b(X257) )
              & ( 2 = b(X256) )
              & ( 10 = a(X256) )
              & ( 4 = a(X255) )
              & ( X256 != X257 )
              & ( X255 != X257 )
              & ( X255 != X256 ) )
        & ! [X258: $int,X259: $int,X260: $int] :
            ~ ( $less(X259,X258)
              & $less(b(X259),3)
              & ( 5 = b(X258) )
              & ( 7 = a(X260) )
              & ( 10 = a(X259) )
              & ( 7 = a(X258) )
              & ( X259 != X260 )
              & ( X258 != X260 )
              & ( X258 != X259 ) )
        & ! [X261: $int,X262: $int,X263: $int] :
            ~ ( $less(X262,X261)
              & $less(b(X262),3)
              & ( 8 = a(X263) )
              & ( 10 = a(X262) )
              & ( 6 = a(X261) )
              & ( X262 != X263 )
              & ( X261 != X263 )
              & ( X261 != X262 ) )
        & ! [X264: $int,X265: $int,X266: $int,X267: $int] :
            ~ ( $less(X265,X264)
              & ( 2 = b(X267) )
              & ( 5 = b(X266) )
              & $less(b(X265),3)
              & ( 10 = a(X265) )
              & ( 5 = a(X264) )
              & ( X266 != X267 )
              & ( X265 != X267 )
              & ( X265 != X266 )
              & ( X264 != X267 )
              & ( X264 != X266 )
              & ( X264 != X265 ) )
        & ! [X268: $int,X269: $int,X270: $int] :
            ~ ( $less(X269,X268)
              & ( 5 = b(X270) )
              & ( 2 = b(X269) )
              & ( 10 = a(X269) )
              & ( 5 = a(X268) )
              & ( X269 != X270 )
              & ( X268 != X270 )
              & ( X268 != X269 ) )
        & ! [X271: $int,X272: $int,X273: $int] :
            ~ ( $less(X272,X271)
              & $less(b(X272),3)
              & ( 8 = a(X273) )
              & ( 10 = a(X272) )
              & ( 7 = a(X271) )
              & ( X272 != X273 )
              & ( X271 != X273 )
              & ( X271 != X272 ) )
        & ! [X274: $int,X275: $int,X276: $int] :
            ~ ( $less(X275,X274)
              & ( 5 = b(X276) )
              & $less(b(X275),3)
              & ( 10 = a(X275) )
              & ( 6 = a(X274) )
              & ( X275 != X276 )
              & ( X274 != X276 )
              & ( X274 != X275 ) )
        & ! [X277: $int,X278: $int,X279: $int] :
            ~ ( $less(X278,X277)
              & ( 5 = b(X279) )
              & $less(b(X278),3)
              & ( 10 = a(X278) )
              & ( 7 = a(X277) )
              & ( X278 != X279 )
              & ( X277 != X279 )
              & ( X277 != X278 ) )
        & ! [X280: $int,X281: $int] :
            ~ ( $less(X281,X280)
              & $less(b(X281),3)
              & ( 10 = a(X281) )
              & ( 8 = a(X280) )
              & ( X280 != X281 ) )
        & ! [X282: $int,X283: $int] :
            ~ ( $less(X283,X282)
              & $less(b(X283),3)
              & ( 10 = a(X283) )
              & ( 9 = a(X282) )
              & ( X282 != X283 ) )
        & ! [X284: $int,X285: $int] :
            ~ ( ( 10 = a(X285) )
              & ( 10 = a(X284) )
              & ( X284 != X285 ) )
        & ( z4 != z5 )
        & ( z3 != z5 )
        & ( z3 != z4 )
        & ( z2 != z5 )
        & ( z2 != z4 )
        & ( z2 != z3 )
        & ( z1 != z5 )
        & ( z1 != z4 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & ! [X286: $int] :
            ( ~ $less(5,b(X286))
            & ~ $less(b(X286),1) )
        & ! [X287: $int] :
            ( ~ $less(12,a(X287))
            & ~ $less(a(X287),1) ) )
     => ~ ( $less(z2,z1)
          & ( 5 = b(z4) )
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 1 = a(z4) )
          & ( 7 = 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)
              & ( 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 ) )
        & ! [X4: $int,X5: $int,X6: $int,X7: $int] :
            ~ ( $less(X5,X4)
              & ( 2 = b(X7) )
              & $less(b(X5),3)
              & ( 5 = b(X4) )
              & ( 7 = a(X6) )
              & ( 10 = a(X5) )
              & ( 4 = 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)
              & ( 2 = b(X11) )
              & $less(b(X10),4)
              & $less(b(X9),3)
              & $less(b(X8),4)
              & ( 8 = a(X10) )
              & ( 10 = a(X9) )
              & ( 3 = 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(X15) )
              & $less(b(X13),3)
              & ( 2 = a(X15) )
              & ( 7 = a(X14) )
              & ( 10 = a(X13) )
              & ( 5 = 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)
              & $less(b(X17),3)
              & ( 2 = a(X19) )
              & ( 8 = 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)
              & $less(b(X21),3)
              & ( 1 = a(X23) )
              & ( 8 = a(X22) )
              & ( 10 = a(X21) )
              & ( 5 = 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)
              & ( 2 = b(X27) )
              & $less(b(X25),3)
              & ( 5 = b(X24) )
              & ( 4 = a(X26) )
              & ( 10 = a(X25) )
              & ( 7 = 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)
              & ( 5 = b(X28) )
              & ( 2 = a(X31) )
              & ( 5 = a(X30) )
              & ( 10 = a(X29) )
              & ( 7 = 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)
              & ( 5 = b(X32) )
              & ( 2 = a(X35) )
              & ( 7 = 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)
              & ( 5 = b(X38) )
              & $less(b(X37),3)
              & ( 2 = a(X39) )
              & ( 10 = a(X37) )
              & ( 4 = 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)
              & ( 5 = b(X42) )
              & $less(b(X41),3)
              & ( 1 = a(X43) )
              & ( 10 = a(X41) )
              & ( 5 = 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)
              & ( 2 = b(X47) )
              & $less(b(X45),3)
              & ( 8 = a(X46) )
              & ( 10 = a(X45) )
              & ( 4 = 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)
              & $less(b(X49),3)
              & ( 2 = a(X51) )
              & ( 8 = a(X50) )
              & ( 10 = a(X49) )
              & ( 5 = 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)
              & ( 2 = b(X55) )
              & ( 5 = b(X54) )
              & $less(b(X53),3)
              & ( 10 = a(X53) )
              & ( 4 = 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)
              & ( 5 = b(X58) )
              & $less(b(X57),3)
              & ( 2 = a(X59) )
              & ( 10 = a(X57) )
              & ( 5 = a(X56) )
              & ( X58 != X59 )
              & ( X57 != X59 )
              & ( X57 != X58 )
              & ( X56 != X59 )
              & ( X56 != X58 )
              & ( X56 != X57 ) )
        & ! [X60: $int,X61: $int,X62: $int] :
            ~ ( $less(X61,X60)
              & ( 2 = b(X61) )
              & ( 5 = b(X60) )
              & ( 4 = a(X62) )
              & ( 10 = a(X61) )
              & ( 12 = a(X60) )
              & ( X61 != X62 )
              & ( X60 != X62 )
              & ( X60 != X61 ) )
        & ! [X63: $int,X64: $int,X65: $int] :
            ~ ( $less(X64,X63)
              & ( 2 = b(X64) )
              & ( 5 = b(X63) )
              & ( 5 = a(X65) )
              & ( 10 = a(X64) )
              & ( 12 = a(X63) )
              & ( X64 != X65 )
              & ( X63 != X65 )
              & ( X63 != X64 ) )
        & ! [X66: $int,X67: $int,X68: $int] :
            ~ ( $less(X67,X66)
              & ( 2 = b(X67) )
              & ( 5 = b(X66) )
              & ( 4 = a(X68) )
              & ( 10 = a(X67) )
              & ( 1 = a(X66) )
              & ( X67 != X68 )
              & ( X66 != X68 )
              & ( X66 != X67 ) )
        & ! [X69: $int,X70: $int,X71: $int] :
            ~ ( $less(X70,X69)
              & ( 2 = b(X70) )
              & ( 5 = b(X69) )
              & ( 4 = a(X71) )
              & ( 10 = a(X70) )
              & ( 2 = a(X69) )
              & ( X70 != X71 )
              & ( X69 != X71 )
              & ( X69 != X70 ) )
        & ! [X72: $int,X73: $int,X74: $int] :
            ~ ( $less(X73,X72)
              & ( 2 = b(X73) )
              & ( 5 = b(X72) )
              & ( 6 = 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) )
              & ( 1 = a(X75) )
              & ( X76 != X77 )
              & ( X75 != X77 )
              & ( X75 != X76 ) )
        & ! [X78: $int,X79: $int,X80: $int,X81: $int] :
            ~ ( $less(X79,X78)
              & ( 5 = b(X81) )
              & ( 2 = b(X80) )
              & $less(b(X79),3)
              & ( 7 = a(X80) )
              & ( 10 = a(X79) )
              & ( 12 = a(X78) )
              & ( X80 != X81 )
              & ( X79 != X81 )
              & ( X79 != X80 )
              & ( X78 != X81 )
              & ( X78 != X80 )
              & ( X78 != X79 ) )
        & ! [X82: $int,X83: $int,X84: $int] :
            ~ ( $less(X83,X82)
              & ( 2 = b(X84) )
              & $less(b(X83),3)
              & ( 5 = b(X82) )
              & ( 7 = a(X84) )
              & ( 10 = a(X83) )
              & ( 12 = a(X82) )
              & ( X83 != X84 )
              & ( X82 != X84 )
              & ( X82 != X83 ) )
        & ! [X85: $int,X86: $int,X87: $int] :
            ~ ( $less(X86,X85)
              & ( 2 = b(X86) )
              & ( 5 = b(X85) )
              & ( 5 = a(X87) )
              & ( 10 = a(X86) )
              & ( 2 = a(X85) )
              & ( X86 != X87 )
              & ( X85 != X87 )
              & ( X85 != X86 ) )
        & ! [X88: $int,X89: $int,X90: $int,X91: $int] :
            ~ ( $less(X89,X88)
              & ( 5 = b(X91) )
              & $less(b(X90),4)
              & ( 2 = b(X89) )
              & ( 7 = a(X90) )
              & ( 10 = a(X89) )
              & ( 12 = a(X88) )
              & ( X90 != X91 )
              & ( X89 != X91 )
              & ( X89 != X90 )
              & ( X88 != X91 )
              & ( X88 != X90 )
              & ( X88 != X89 ) )
        & ! [X92: $int,X93: $int,X94: $int] :
            ~ ( $less(X93,X92)
              & $less(b(X94),4)
              & ( 2 = b(X93) )
              & ( 5 = b(X92) )
              & ( 7 = a(X94) )
              & ( 10 = a(X93) )
              & ( 12 = a(X92) )
              & ( X93 != X94 )
              & ( X92 != X94 )
              & ( X92 != X93 ) )
        & ! [X95: $int,X96: $int,X97: $int] :
            ~ ( $less(X96,X95)
              & ( 2 = b(X96) )
              & ( 5 = b(X95) )
              & ( 6 = a(X97) )
              & ( 10 = a(X96) )
              & ( 1 = a(X95) )
              & ( X96 != X97 )
              & ( X95 != X97 )
              & ( X95 != X96 ) )
        & ! [X98: $int,X99: $int,X100: $int] :
            ~ ( $less(X99,X98)
              & ( 2 = b(X100) )
              & $less(b(X99),3)
              & ( 8 = a(X100) )
              & ( 10 = a(X99) )
              & ( 12 = a(X98) )
              & ( X99 != X100 )
              & ( X98 != X100 )
              & ( X98 != X99 ) )
        & ! [X101: $int,X102: $int,X103: $int,X104: $int] :
            ~ ( $less(X102,X101)
              & ( 5 = b(X104) )
              & ( 2 = b(X103) )
              & $less(b(X102),3)
              & ( 7 = a(X103) )
              & ( 10 = a(X102) )
              & ( 1 = a(X101) )
              & ( X103 != X104 )
              & ( X102 != X104 )
              & ( X102 != X103 )
              & ( X101 != X104 )
              & ( X101 != X103 )
              & ( X101 != X102 ) )
        & ! [X105: $int,X106: $int,X107: $int] :
            ~ ( $less(X106,X105)
              & ( 2 = b(X107) )
              & $less(b(X106),3)
              & ( 5 = b(X105) )
              & ( 7 = a(X107) )
              & ( 10 = a(X106) )
              & ( 1 = a(X105) )
              & ( X106 != X107 )
              & ( X105 != X107 )
              & ( X105 != X106 ) )
        & ! [X108: $int,X109: $int,X110: $int] :
            ~ ( $less(X109,X108)
              & ( 2 = b(X109) )
              & ( 5 = b(X108) )
              & ( 4 = a(X110) )
              & ( 10 = a(X109) )
              & ( 4 = a(X108) )
              & ( X109 != X110 )
              & ( X108 != X110 )
              & ( X108 != X109 ) )
        & ! [X111: $int,X112: $int,X113: $int] :
            ~ ( $less(X112,X111)
              & ( 2 = b(X112) )
              & ( 5 = b(X111) )
              & ( 6 = a(X113) )
              & ( 10 = a(X112) )
              & ( 2 = a(X111) )
              & ( X112 != X113 )
              & ( X111 != X113 )
              & ( X111 != X112 ) )
        & ! [X114: $int,X115: $int,X116: $int] :
            ~ ( $less(X115,X114)
              & $less(b(X116),4)
              & ( 2 = b(X115) )
              & ( 8 = a(X116) )
              & ( 10 = a(X115) )
              & ( 12 = a(X114) )
              & ( X115 != X116 )
              & ( X114 != X116 )
              & ( X114 != X115 ) )
        & ! [X117: $int,X118: $int,X119: $int,X120: $int] :
            ~ ( $less(X118,X117)
              & ( 5 = b(X120) )
              & $less(b(X119),4)
              & ( 2 = b(X118) )
              & ( 7 = a(X119) )
              & ( 10 = a(X118) )
              & ( 1 = a(X117) )
              & ( X119 != X120 )
              & ( X118 != X120 )
              & ( X118 != X119 )
              & ( X117 != X120 )
              & ( X117 != X119 )
              & ( X117 != X118 ) )
        & ! [X121: $int,X122: $int,X123: $int] :
            ~ ( $less(X122,X121)
              & $less(b(X123),4)
              & ( 2 = b(X122) )
              & ( 5 = b(X121) )
              & ( 7 = a(X123) )
              & ( 10 = a(X122) )
              & ( 1 = a(X121) )
              & ( X122 != X123 )
              & ( X121 != X123 )
              & ( X121 != X122 ) )
        & ! [X124: $int,X125: $int,X126: $int,X127: $int] :
            ~ ( $less(X125,X124)
              & ( 5 = b(X127) )
              & ( 2 = b(X126) )
              & $less(b(X125),3)
              & ( 7 = a(X126) )
              & ( 10 = a(X125) )
              & ( 2 = a(X124) )
              & ( X126 != X127 )
              & ( X125 != X127 )
              & ( X125 != X126 )
              & ( X124 != X127 )
              & ( X124 != X126 )
              & ( X124 != X125 ) )
        & ! [X128: $int,X129: $int,X130: $int] :
            ~ ( $less(X129,X128)
              & ( 2 = b(X130) )
              & $less(b(X129),3)
              & ( 5 = b(X128) )
              & ( 7 = a(X130) )
              & ( 10 = a(X129) )
              & ( 2 = a(X128) )
              & ( X129 != X130 )
              & ( X128 != X130 )
              & ( X128 != X129 ) )
        & ! [X131: $int,X132: $int,X133: $int] :
            ~ ( $less(X132,X131)
              & ( 2 = b(X133) )
              & $less(b(X132),3)
              & ( 8 = a(X133) )
              & ( 10 = a(X132) )
              & ( 1 = a(X131) )
              & ( X132 != X133 )
              & ( X131 != X133 )
              & ( X131 != X132 ) )
        & ! [X134: $int,X135: $int,X136: $int] :
            ~ ( $less(X135,X134)
              & ( 2 = b(X135) )
              & ( 5 = b(X134) )
              & ( 4 = a(X136) )
              & ( 10 = a(X135) )
              & ( 5 = a(X134) )
              & ( X135 != X136 )
              & ( X134 != X136 )
              & ( X134 != X135 ) )
        & ! [X137: $int,X138: $int,X139: $int] :
            ~ ( $less(X138,X137)
              & ( 2 = b(X138) )
              & ( 5 = b(X137) )
              & ( 5 = a(X139) )
              & ( 10 = a(X138) )
              & ( 4 = a(X137) )
              & ( X138 != X139 )
              & ( X137 != X139 )
              & ( X137 != X138 ) )
        & ! [X140: $int,X141: $int,X142: $int,X143: $int] :
            ~ ( $less(X141,X140)
              & ( 5 = b(X143) )
              & $less(b(X142),4)
              & ( 2 = b(X141) )
              & ( 7 = a(X142) )
              & ( 10 = a(X141) )
              & ( 2 = a(X140) )
              & ( X142 != X143 )
              & ( X141 != X143 )
              & ( X141 != X142 )
              & ( X140 != X143 )
              & ( X140 != X142 )
              & ( X140 != X141 ) )
        & ! [X144: $int,X145: $int,X146: $int] :
            ~ ( $less(X145,X144)
              & $less(b(X146),4)
              & ( 2 = b(X145) )
              & ( 5 = b(X144) )
              & ( 7 = a(X146) )
              & ( 10 = a(X145) )
              & ( 2 = a(X144) )
              & ( X145 != X146 )
              & ( X144 != X146 )
              & ( X144 != X145 ) )
        & ! [X147: $int,X148: $int,X149: $int] :
            ~ ( $less(X148,X147)
              & $less(b(X149),4)
              & ( 2 = b(X148) )
              & ( 8 = a(X149) )
              & ( 10 = a(X148) )
              & ( 1 = a(X147) )
              & ( X148 != X149 )
              & ( X147 != X149 )
              & ( X147 != X148 ) )
        & ! [X150: $int,X151: $int,X152: $int] :
            ~ ( $less(X151,X150)
              & ( 2 = b(X151) )
              & ( 5 = b(X150) )
              & ( 4 = a(X152) )
              & ( 10 = a(X151) )
              & ( 6 = a(X150) )
              & ( X151 != X152 )
              & ( X150 != X152 )
              & ( X150 != X151 ) )
        & ! [X153: $int,X154: $int,X155: $int,X156: $int] :
            ~ ( $less(X154,X153)
              & ( 2 = b(X156) )
              & ( 2 = b(X155) )
              & $less(b(X154),3)
              & ( 5 = b(X153) )
              & ( 5 = a(X155) )
              & ( 10 = a(X154) )
              & ( 5 = a(X153) )
              & ( X155 != X156 )
              & ( X154 != X156 )
              & ( X154 != X155 )
              & ( X153 != X156 )
              & ( X153 != X155 )
              & ( X153 != X154 ) )
        & ! [X157: $int,X158: $int,X159: $int,X160: $int] :
            ~ ( $less(X158,X157)
              & ( 5 = b(X160) )
              & ( 2 = b(X159) )
              & $less(b(X158),3)
              & $less(b(X157),4)
              & ( 7 = a(X159) )
              & ( 10 = a(X158) )
              & ( 3 = a(X157) )
              & ( X159 != X160 )
              & ( X158 != X160 )
              & ( X158 != X159 )
              & ( X157 != X160 )
              & ( X157 != X159 )
              & ( X157 != X158 ) )
        & ! [X161: $int,X162: $int,X163: $int] :
            ~ ( $less(X162,X161)
              & ( 2 = b(X163) )
              & $less(b(X162),3)
              & ( 8 = a(X163) )
              & ( 10 = a(X162) )
              & ( 2 = a(X161) )
              & ( X162 != X163 )
              & ( X161 != X163 )
              & ( X161 != X162 ) )
        & ! [X164: $int,X165: $int,X166: $int] :
            ~ ( $less(X165,X164)
              & ( 2 = b(X165) )
              & ( 5 = b(X164) )
              & ( 5 = a(X166) )
              & ( 10 = a(X165) )
              & ( 5 = a(X164) )
              & ( X165 != X166 )
              & ( X164 != X166 )
              & ( X164 != X165 ) )
        & ! [X167: $int,X168: $int,X169: $int] :
            ~ ( $less(X168,X167)
              & ( 2 = b(X168) )
              & ( 5 = b(X167) )
              & ( 6 = a(X169) )
              & ( 10 = a(X168) )
              & ( 4 = a(X167) )
              & ( X168 != X169 )
              & ( X167 != X169 )
              & ( X167 != X168 ) )
        & ! [X170: $int,X171: $int,X172: $int,X173: $int] :
            ~ ( $less(X171,X170)
              & ( 5 = b(X173) )
              & $less(b(X172),4)
              & ( 2 = b(X171) )
              & $less(b(X170),4)
              & ( 7 = a(X172) )
              & ( 10 = a(X171) )
              & ( 3 = a(X170) )
              & ( X172 != X173 )
              & ( X171 != X173 )
              & ( X171 != X172 )
              & ( X170 != X173 )
              & ( X170 != X172 )
              & ( X170 != X171 ) )
        & ! [X174: $int,X175: $int,X176: $int] :
            ~ ( $less(X175,X174)
              & $less(b(X176),4)
              & ( 2 = b(X175) )
              & ( 8 = a(X176) )
              & ( 10 = a(X175) )
              & ( 2 = a(X174) )
              & ( X175 != X176 )
              & ( X174 != X176 )
              & ( X174 != X175 ) )
        & ! [X177: $int,X178: $int,X179: $int] :
            ~ ( $less(X178,X177)
              & ( 2 = b(X178) )
              & ( 5 = b(X177) )
              & ( 4 = a(X179) )
              & ( 10 = a(X178) )
              & ( 7 = a(X177) )
              & ( X178 != X179 )
              & ( X177 != X179 )
              & ( X177 != X178 ) )
        & ! [X180: $int,X181: $int,X182: $int,X183: $int] :
            ~ ( $less(X181,X180)
              & ( 2 = b(X183) )
              & $less(b(X181),3)
              & ( 5 = b(X180) )
              & ( 5 = a(X182) )
              & ( 10 = a(X181) )
              & ( 6 = a(X180) )
              & ( X182 != X183 )
              & ( X181 != X183 )
              & ( X181 != X182 )
              & ( X180 != X183 )
              & ( X180 != X182 )
              & ( X180 != X181 ) )
        & ! [X184: $int,X185: $int,X186: $int] :
            ~ ( $less(X185,X184)
              & ( 2 = b(X185) )
              & ( 5 = b(X184) )
              & ( 5 = a(X186) )
              & ( 10 = a(X185) )
              & ( 6 = a(X184) )
              & ( X185 != X186 )
              & ( X184 != X186 )
              & ( X184 != X185 ) )
        & ! [X187: $int,X188: $int,X189: $int,X190: $int] :
            ~ ( $less(X188,X187)
              & ( 2 = b(X190) )
              & $less(b(X188),3)
              & ( 5 = b(X187) )
              & ( 6 = a(X189) )
              & ( 10 = a(X188) )
              & ( 5 = a(X187) )
              & ( X189 != X190 )
              & ( X188 != X190 )
              & ( X188 != X189 )
              & ( X187 != X190 )
              & ( X187 != X189 )
              & ( X187 != X188 ) )
        & ! [X191: $int,X192: $int,X193: $int] :
            ~ ( $less(X192,X191)
              & ( 2 = b(X193) )
              & $less(b(X192),3)
              & ( 5 = b(X191) )
              & ( 6 = a(X193) )
              & ( 10 = a(X192) )
              & ( 5 = a(X191) )
              & ( X192 != X193 )
              & ( X191 != X193 )
              & ( X191 != X192 ) )
        & ! [X194: $int,X195: $int,X196: $int,X197: $int] :
            ~ ( $less(X195,X194)
              & ( 5 = b(X197) )
              & ( 2 = b(X196) )
              & $less(b(X195),3)
              & ( 7 = a(X196) )
              & ( 10 = a(X195) )
              & ( 4 = a(X194) )
              & ( X196 != X197 )
              & ( X195 != X197 )
              & ( X195 != X196 )
              & ( X194 != X197 )
              & ( X194 != X196 )
              & ( X194 != X195 ) )
        & ! [X198: $int,X199: $int,X200: $int] :
            ~ ( $less(X199,X198)
              & ( 2 = b(X200) )
              & $less(b(X199),3)
              & ( 5 = b(X198) )
              & ( 7 = a(X200) )
              & ( 10 = a(X199) )
              & ( 4 = a(X198) )
              & ( X199 != X200 )
              & ( X198 != X200 )
              & ( X198 != X199 ) )
        & ! [X201: $int,X202: $int,X203: $int] :
            ~ ( $less(X202,X201)
              & ( 2 = b(X203) )
              & $less(b(X202),3)
              & $less(b(X201),4)
              & ( 8 = a(X203) )
              & ( 10 = a(X202) )
              & ( 3 = a(X201) )
              & ( X202 != X203 )
              & ( X201 != X203 )
              & ( X201 != X202 ) )
        & ! [X204: $int,X205: $int,X206: $int] :
            ~ ( $less(X205,X204)
              & ( 2 = b(X205) )
              & ( 5 = b(X204) )
              & ( 6 = a(X206) )
              & ( 10 = a(X205) )
              & ( 5 = a(X204) )
              & ( X205 != X206 )
              & ( X204 != X206 )
              & ( X204 != X205 ) )
        & ! [X207: $int,X208: $int,X209: $int] :
            ~ ( $less(X208,X207)
              & ( 2 = b(X208) )
              & ( 5 = b(X207) )
              & ( 7 = a(X209) )
              & ( 10 = a(X208) )
              & ( 4 = a(X207) )
              & ( X208 != X209 )
              & ( X207 != X209 )
              & ( X207 != X208 ) )
        & ! [X210: $int,X211: $int,X212: $int] :
            ~ ( $less(X211,X210)
              & $less(b(X212),4)
              & ( 2 = b(X211) )
              & $less(b(X210),4)
              & ( 8 = a(X212) )
              & ( 10 = a(X211) )
              & ( 3 = a(X210) )
              & ( X211 != X212 )
              & ( X210 != X212 )
              & ( X210 != X211 ) )
        & ! [X213: $int,X214: $int,X215: $int,X216: $int] :
            ~ ( $less(X214,X213)
              & ( 2 = b(X216) )
              & $less(b(X214),3)
              & ( 5 = b(X213) )
              & ( 5 = a(X215) )
              & ( 10 = a(X214) )
              & ( 7 = a(X213) )
              & ( X215 != X216 )
              & ( X214 != X216 )
              & ( X214 != X215 )
              & ( X213 != X216 )
              & ( X213 != X215 )
              & ( X213 != X214 ) )
        & ! [X217: $int,X218: $int,X219: $int] :
            ~ ( $less(X218,X217)
              & ( 2 = b(X218) )
              & ( 5 = b(X217) )
              & ( 5 = a(X219) )
              & ( 10 = a(X218) )
              & ( 7 = a(X217) )
              & ( X218 != X219 )
              & ( X217 != X219 )
              & ( X217 != X218 ) )
        & ! [X220: $int,X221: $int,X222: $int] :
            ~ ( $less(X221,X220)
              & $less(b(X221),3)
              & ( 5 = b(X220) )
              & ( 6 = a(X222) )
              & ( 10 = a(X221) )
              & ( 6 = a(X220) )
              & ( X221 != X222 )
              & ( X220 != X222 )
              & ( X220 != X221 ) )
        & ! [X223: $int,X224: $int,X225: $int,X226: $int] :
            ~ ( $less(X224,X223)
              & ( 2 = b(X226) )
              & $less(b(X224),3)
              & ( 5 = b(X223) )
              & ( 7 = a(X225) )
              & ( 10 = a(X224) )
              & ( 5 = a(X223) )
              & ( X225 != X226 )
              & ( X224 != X226 )
              & ( X224 != X225 )
              & ( X223 != X226 )
              & ( X223 != X225 )
              & ( X223 != X224 ) )
        & ! [X227: $int,X228: $int,X229: $int] :
            ~ ( $less(X228,X227)
              & ( 2 = b(X229) )
              & $less(b(X228),3)
              & ( 5 = b(X227) )
              & ( 7 = a(X229) )
              & ( 10 = a(X228) )
              & ( 5 = a(X227) )
              & ( X228 != X229 )
              & ( X227 != X229 )
              & ( X227 != X228 ) )
        & ! [X230: $int,X231: $int,X232: $int] :
            ~ ( $less(X231,X230)
              & ( 2 = b(X232) )
              & $less(b(X231),3)
              & ( 8 = a(X232) )
              & ( 10 = a(X231) )
              & ( 4 = a(X230) )
              & ( X231 != X232 )
              & ( X230 != X232 )
              & ( X230 != X231 ) )
        & ! [X233: $int,X234: $int,X235: $int] :
            ~ ( $less(X234,X233)
              & ( 2 = b(X234) )
              & ( 5 = b(X233) )
              & ( 7 = a(X235) )
              & ( 10 = a(X234) )
              & ( 5 = a(X233) )
              & ( X234 != X235 )
              & ( X233 != X235 )
              & ( X233 != X234 ) )
        & ! [X236: $int,X237: $int,X238: $int] :
            ~ ( $less(X237,X236)
              & ( 2 = b(X237) )
              & ( 8 = a(X238) )
              & ( 10 = a(X237) )
              & ( 4 = a(X236) )
              & ( X237 != X238 )
              & ( X236 != X238 )
              & ( X236 != X237 ) )
        & ! [X239: $int,X240: $int,X241: $int] :
            ~ ( $less(X240,X239)
              & $less(b(X240),3)
              & ( 5 = b(X239) )
              & ( 6 = a(X241) )
              & ( 10 = a(X240) )
              & ( 7 = a(X239) )
              & ( X240 != X241 )
              & ( X239 != X241 )
              & ( X239 != X240 ) )
        & ! [X242: $int,X243: $int,X244: $int] :
            ~ ( $less(X243,X242)
              & $less(b(X243),3)
              & ( 5 = b(X242) )
              & ( 7 = a(X244) )
              & ( 10 = a(X243) )
              & ( 6 = a(X242) )
              & ( X243 != X244 )
              & ( X242 != X244 )
              & ( X242 != X243 ) )
        & ! [X245: $int,X246: $int,X247: $int,X248: $int] :
            ~ ( $less(X246,X245)
              & ( 2 = b(X248) )
              & $less(b(X246),3)
              & ( 8 = a(X247) )
              & ( 10 = a(X246) )
              & ( 5 = a(X245) )
              & ( X247 != X248 )
              & ( X246 != X248 )
              & ( X246 != X247 )
              & ( X245 != X248 )
              & ( X245 != X247 )
              & ( X245 != X246 ) )
        & ! [X249: $int,X250: $int,X251: $int] :
            ~ ( $less(X250,X249)
              & ( 2 = b(X251) )
              & $less(b(X250),3)
              & ( 8 = a(X251) )
              & ( 10 = a(X250) )
              & ( 5 = a(X249) )
              & ( X250 != X251 )
              & ( X249 != X251 )
              & ( X249 != X250 ) )
        & ! [X252: $int,X253: $int,X254: $int] :
            ~ ( $less(X253,X252)
              & ( 2 = b(X253) )
              & ( 8 = a(X254) )
              & ( 10 = a(X253) )
              & ( 5 = a(X252) )
              & ( X253 != X254 )
              & ( X252 != X254 )
              & ( X252 != X253 ) )
        & ! [X255: $int,X256: $int,X257: $int] :
            ~ ( $less(X256,X255)
              & ( 5 = b(X257) )
              & ( 2 = b(X256) )
              & ( 10 = a(X256) )
              & ( 4 = a(X255) )
              & ( X256 != X257 )
              & ( X255 != X257 )
              & ( X255 != X256 ) )
        & ! [X258: $int,X259: $int,X260: $int] :
            ~ ( $less(X259,X258)
              & $less(b(X259),3)
              & ( 5 = b(X258) )
              & ( 7 = a(X260) )
              & ( 10 = a(X259) )
              & ( 7 = a(X258) )
              & ( X259 != X260 )
              & ( X258 != X260 )
              & ( X258 != X259 ) )
        & ! [X261: $int,X262: $int,X263: $int] :
            ~ ( $less(X262,X261)
              & $less(b(X262),3)
              & ( 8 = a(X263) )
              & ( 10 = a(X262) )
              & ( 6 = a(X261) )
              & ( X262 != X263 )
              & ( X261 != X263 )
              & ( X261 != X262 ) )
        & ! [X264: $int,X265: $int,X266: $int,X267: $int] :
            ~ ( $less(X265,X264)
              & ( 2 = b(X267) )
              & ( 5 = b(X266) )
              & $less(b(X265),3)
              & ( 10 = a(X265) )
              & ( 5 = a(X264) )
              & ( X266 != X267 )
              & ( X265 != X267 )
              & ( X265 != X266 )
              & ( X264 != X267 )
              & ( X264 != X266 )
              & ( X264 != X265 ) )
        & ! [X268: $int,X269: $int,X270: $int] :
            ~ ( $less(X269,X268)
              & ( 5 = b(X270) )
              & ( 2 = b(X269) )
              & ( 10 = a(X269) )
              & ( 5 = a(X268) )
              & ( X269 != X270 )
              & ( X268 != X270 )
              & ( X268 != X269 ) )
        & ! [X271: $int,X272: $int,X273: $int] :
            ~ ( $less(X272,X271)
              & $less(b(X272),3)
              & ( 8 = a(X273) )
              & ( 10 = a(X272) )
              & ( 7 = a(X271) )
              & ( X272 != X273 )
              & ( X271 != X273 )
              & ( X271 != X272 ) )
        & ! [X274: $int,X275: $int,X276: $int] :
            ~ ( $less(X275,X274)
              & ( 5 = b(X276) )
              & $less(b(X275),3)
              & ( 10 = a(X275) )
              & ( 6 = a(X274) )
              & ( X275 != X276 )
              & ( X274 != X276 )
              & ( X274 != X275 ) )
        & ! [X277: $int,X278: $int,X279: $int] :
            ~ ( $less(X278,X277)
              & ( 5 = b(X279) )
              & $less(b(X278),3)
              & ( 10 = a(X278) )
              & ( 7 = a(X277) )
              & ( X278 != X279 )
              & ( X277 != X279 )
              & ( X277 != X278 ) )
        & ! [X280: $int,X281: $int] :
            ~ ( $less(X281,X280)
              & $less(b(X281),3)
              & ( 10 = a(X281) )
              & ( 8 = a(X280) )
              & ( X280 != X281 ) )
        & ! [X282: $int,X283: $int] :
            ~ ( $less(X283,X282)
              & $less(b(X283),3)
              & ( 10 = a(X283) )
              & ( 9 = a(X282) )
              & ( X282 != X283 ) )
        & ! [X284: $int,X285: $int] :
            ~ ( ( 10 = a(X285) )
              & ( 10 = a(X284) )
              & ( X284 != X285 ) )
        & ( z4 != z5 )
        & ( z3 != z5 )
        & ( z3 != z4 )
        & ( z2 != z5 )
        & ( z2 != z4 )
        & ( z2 != z3 )
        & ( z1 != z5 )
        & ( z1 != z4 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & $true
        & ! [X286: $int] :
            ( ~ $less(5,b(X286))
            & ~ $less(b(X286),1) )
        & ! [X287: $int] :
            ( ~ $less(12,a(X287))
            & ~ $less(a(X287),1) ) )
     => ~ ( $less(z2,z1)
          & ( 5 = b(z4) )
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 1 = a(z4) )
          & ( 7 = 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)
              & ( 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)
          & ( 5 = b(z4) )
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 1 = a(z4) )
          & ( 7 = 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)
              & ( 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)
          & ( 5 = b(z4) )
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 1 = a(z4) )
          & ( 7 = 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)
            & ( 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)
        & ( 5 = b(z4) )
        & ( 5 = b(z3) )
        & $less(b(z2),3)
        & ( 1 = a(z4) )
        & ( 7 = a(z3) )
        & ( 10 = a(z2) )
        & ( 5 = a(z1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f124,plain,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f19]) ).

tff(f121,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f19]) ).

tff(f123,plain,
    1 = a(z4),
    inference(cnf_transformation,[],[f19]) ).

tff(f125,plain,
    5 = b(z3),
    inference(cnf_transformation,[],[f19]) ).

tff(f120,plain,
    5 = a(z1),
    inference(cnf_transformation,[],[f19]) ).

tff(f127,plain,
    $less(z2,z1),
    inference(cnf_transformation,[],[f19]) ).

tff(f31,plain,
    z3 != z4,
    inference(cnf_transformation,[],[f19]) ).

tff(f29,plain,
    z2 != z4,
    inference(cnf_transformation,[],[f19]) ).

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

tff(f26,plain,
    z1 != z4,
    inference(cnf_transformation,[],[f19]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SWW004_1 : TPTP v8.2.0. Released v5.0.0.
% 0.13/0.14  % Command    : run_vampire %s %d SAT
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Wed Jun 19 07:05:24 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  This is a TF0_THM_EQU_ARI problem
% 0.14/0.38  Running first-order model finding
% 0.14/0.38  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.45  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6452)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.23/0.45  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6449)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.23/0.45  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6450)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.23/0.45  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6447)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.23/0.45  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6448)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.23/0.45  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6451)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.23/0.45  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (6453)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.23/0.45  % (6449)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.45  % (6449)Terminated due to inappropriate strategy.
% 0.23/0.45  % (6449)------------------------------
% 0.23/0.45  % (6449)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45  % (6449)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45  % (6449)Termination reason: Inappropriate
% 0.23/0.45  
% 0.23/0.45  % (6449)Memory used [KB]: 1179
% 0.23/0.45  % (6449)Time elapsed: 0.007 s
% 0.23/0.45  % (6449)Instructions burned: 14 (million)
% 0.23/0.45  % (6449)------------------------------
% 0.23/0.45  % (6449)------------------------------
% 0.23/0.45  % (6450)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.45  % (6450)Terminated due to inappropriate strategy.
% 0.23/0.45  % (6450)------------------------------
% 0.23/0.45  % (6450)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45  % (6450)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45  % (6450)Termination reason: Inappropriate
% 0.23/0.45  
% 0.23/0.45  % (6450)Memory used [KB]: 1218
% 0.23/0.45  % (6450)Time elapsed: 0.008 s
% 0.23/0.45  % (6450)Instructions burned: 15 (million)
% 0.23/0.45  % (6450)------------------------------
% 0.23/0.45  % (6450)------------------------------
% 0.23/0.45  % (6447)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.45  % (6447)Terminated due to inappropriate strategy.
% 0.23/0.45  % (6447)------------------------------
% 0.23/0.45  % (6447)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45  % (6447)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45  % (6447)Termination reason: Inappropriate
% 0.23/0.45  
% 0.23/0.45  % (6447)Memory used [KB]: 1184
% 0.23/0.45  % (6447)Time elapsed: 0.009 s
% 0.23/0.45  % (6447)Instructions burned: 18 (million)
% 0.23/0.45  % (6447)------------------------------
% 0.23/0.45  % (6447)------------------------------
% 0.23/0.49  % (6451)Instruction limit reached!
% 0.23/0.49  % (6451)------------------------------
% 0.23/0.49  % (6451)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.49  % (6451)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.49  % (6451)Termination reason: Time limit
% 0.23/0.49  % (6451)Termination phase: Saturation
% 0.23/0.49  
% 0.23/0.49  % (6451)Memory used [KB]: 1411
% 0.23/0.49  % (6451)Time elapsed: 0.045 s
% 0.23/0.49  % (6451)Instructions burned: 105 (million)
% 0.23/0.51  % (6453)Instruction limit reached!
% 0.23/0.51  % (6453)------------------------------
% 0.23/0.51  % (6453)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51  % (6453)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51  % (6453)Termination reason: Time limit
% 0.23/0.51  % (6453)Termination phase: Saturation
% 0.23/0.51  
% 0.23/0.51  % (6453)Memory used [KB]: 2108
% 0.23/0.51  % (6453)Time elapsed: 0.064 s
% 0.23/0.51  % (6453)Instructions burned: 116 (million)
% 0.23/0.51  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51  % (6492)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.23/0.51  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51  % (6493)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.23/0.51  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.51  % (6494)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.23/0.53  % (6452)Instruction limit reached!
% 0.23/0.53  % (6452)------------------------------
% 0.23/0.53  % (6452)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.53  % (6452)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.53  % (6452)Termination reason: Time limit
% 0.23/0.53  % (6452)Termination phase: Saturation
% 0.23/0.53  
% 0.23/0.53  % (6452)Memory used [KB]: 1903
% 0.23/0.53  % (6452)Time elapsed: 0.084 s
% 0.23/0.53  % (6452)Instructions burned: 146 (million)
% 0.23/0.53  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.53  % (6518)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 0.23/0.55  % (6443)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.55  % (6526)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 0.23/0.56  % (6526)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.56  % (6526)Terminated due to inappropriate strategy.
% 0.23/0.56  % (6526)------------------------------
% 0.23/0.56  % (6526)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.56  % (6526)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.56  % (6526)Termination reason: Inappropriate
% 0.23/0.56  
% 0.23/0.56  % (6526)Memory used [KB]: 1180
% 0.23/0.56  % (6526)Time elapsed: 0.004 s
% 0.23/0.56  % (6526)Instructions burned: 14 (million)
% 0.23/0.56  % (6526)------------------------------
% 0.23/0.56  % (6526)------------------------------
% 1.48/0.58  % (6493)Instruction limit reached!
% 1.48/0.58  % (6493)------------------------------
% 1.48/0.58  % (6493)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.48/0.58  % (6493)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.48/0.58  % (6493)Termination reason: Time limit
% 1.48/0.58  % (6493)Termination phase: Saturation
% 1.48/0.58  
% 1.48/0.58  % (6493)Memory used [KB]: 2339
% 1.48/0.58  % (6493)Time elapsed: 0.065 s
% 1.48/0.58  % (6493)Instructions burned: 178 (million)
% 1.48/0.59  % (6494)Instruction limit reached!
% 1.48/0.59  % (6494)------------------------------
% 1.48/0.59  % (6494)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.48/0.59  % (6494)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.48/0.59  % (6494)Termination reason: Time limit
% 1.48/0.59  % (6494)Termination phase: Saturation
% 1.48/0.59  
% 1.48/0.59  % (6494)Memory used [KB]: 1852
% 1.48/0.59  % (6494)Time elapsed: 0.076 s
% 1.48/0.59  % (6494)Instructions burned: 272 (million)
% 1.48/0.59  % (6443)Running in auto input_syntax mode. Trying TPTP
% 1.48/0.59  % (6538)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2998ds/2145Mi)
% 1.48/0.59  % (6443)Running in auto input_syntax mode. Trying TPTP
% 1.48/0.59  % (6548)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2998ds/1187Mi)
% 1.48/0.61  % (6443)Running in auto input_syntax mode. Trying TPTP
% 1.48/0.61  % (6555)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2998ds/23580Mi)
% 1.48/0.61  % (6555)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.48/0.61  % (6555)Terminated due to inappropriate strategy.
% 1.48/0.61  % (6555)------------------------------
% 1.48/0.61  % (6555)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.48/0.61  % (6555)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.48/0.61  % (6555)Termination reason: Inappropriate
% 1.48/0.61  
% 1.48/0.61  % (6555)Memory used [KB]: 1218
% 1.48/0.61  % (6555)Time elapsed: 0.005 s
% 1.48/0.61  % (6555)Instructions burned: 14 (million)
% 1.48/0.61  % (6555)------------------------------
% 1.48/0.61  % (6555)------------------------------
% 1.48/0.62  % (6443)Running in auto input_syntax mode. Trying TPTP
% 1.48/0.62  % (6560)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2998ds/2892Mi)
% 1.48/0.63  % (6560)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.48/0.63  % (6560)Terminated due to inappropriate strategy.
% 1.48/0.63  % (6560)------------------------------
% 1.48/0.63  % (6560)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.48/0.63  % (6560)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.48/0.63  % (6560)Termination reason: Inappropriate
% 1.48/0.63  
% 1.48/0.63  % (6560)Memory used [KB]: 1179
% 1.48/0.63  % (6560)Time elapsed: 0.004 s
% 1.48/0.63  % (6560)Instructions burned: 14 (million)
% 1.48/0.63  % (6560)------------------------------
% 1.48/0.63  % (6560)------------------------------
% 1.87/0.65  % (6443)Running in auto input_syntax mode. Trying TPTP
% 1.87/0.65  % (6561)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2997ds/1693Mi)
% 1.87/0.65  % (6492)Instruction limit reached!
% 1.87/0.65  % (6492)------------------------------
% 1.87/0.65  % (6492)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.87/0.65  % (6492)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.87/0.65  % (6492)Termination reason: Time limit
% 1.87/0.65  % (6492)Termination phase: Saturation
% 1.87/0.65  
% 1.87/0.65  % (6492)Memory used [KB]: 2972
% 1.87/0.65  % (6492)Time elapsed: 0.138 s
% 1.87/0.65  % (6492)Instructions burned: 404 (million)
% 1.87/0.66  % (6443)Running in auto input_syntax mode. Trying TPTP
% 1.87/0.66  % (6562)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2997ds/1735Mi)
% 1.87/0.68  % (6443)Running in auto input_syntax mode. Trying TPTP
% 1.87/0.68  % (6572)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2997ds/131798Mi)
% 1.87/0.69  % (6572)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.87/0.69  % (6572)Terminated due to inappropriate strategy.
% 1.87/0.69  % (6572)------------------------------
% 1.87/0.69  % (6572)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.87/0.69  % (6572)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.87/0.69  % (6572)Termination reason: Inappropriate
% 1.87/0.69  
% 1.87/0.69  % (6572)Memory used [KB]: 1180
% 1.87/0.69  % (6572)Time elapsed: 0.005 s
% 1.87/0.69  % (6572)Instructions burned: 14 (million)
% 1.87/0.69  % (6572)------------------------------
% 1.87/0.69  % (6572)------------------------------
% 2.12/0.72  % (6443)Running in auto input_syntax mode. Trying TPTP
% 2.12/0.72  % (6581)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2997ds/3451Mi)
% 2.12/0.72  % (6581)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.12/0.72  % (6581)Terminated due to inappropriate strategy.
% 2.12/0.72  % (6581)------------------------------
% 2.12/0.72  % (6581)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.12/0.72  % (6581)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.12/0.72  % (6581)Termination reason: Inappropriate
% 2.12/0.72  
% 2.12/0.72  % (6581)Memory used [KB]: 1218
% 2.12/0.72  % (6581)Time elapsed: 0.004 s
% 2.12/0.72  % (6581)Instructions burned: 14 (million)
% 2.12/0.72  % (6581)------------------------------
% 2.12/0.72  % (6581)------------------------------
% 2.12/0.76  % (6443)Running in auto input_syntax mode. Trying TPTP
% 2.12/0.76  % (6590)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2996ds/3978Mi)
% 2.31/0.77  % (6518)Instruction limit reached!
% 2.31/0.77  % (6518)------------------------------
% 2.31/0.77  % (6518)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.31/0.77  % (6518)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.31/0.77  % (6518)Termination reason: Time limit
% 2.31/0.77  % (6518)Termination phase: Saturation
% 2.31/0.77  
% 2.31/0.77  % (6518)Memory used [KB]: 3443
% 2.31/0.77  % (6518)Time elapsed: 0.238 s
% 2.31/0.77  % (6518)Instructions burned: 900 (million)
% 2.31/0.80  % (6443)Running in auto input_syntax mode. Trying TPTP
% 2.31/0.80  % (6597)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2996ds/33091Mi)
% 2.83/1.03  % (6548)Instruction limit reached!
% 2.83/1.03  % (6548)------------------------------
% 2.83/1.03  % (6548)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.83/1.03  % (6548)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.83/1.03  % (6548)Termination reason: Time limit
% 2.83/1.03  % (6548)Termination phase: Saturation
% 2.83/1.03  
% 2.83/1.03  % (6548)Memory used [KB]: 15690
% 2.83/1.03  % (6548)Time elapsed: 0.438 s
% 2.83/1.03  % (6548)Instructions burned: 1187 (million)
% 2.83/1.04  % (6562)Instruction limit reached!
% 2.83/1.04  % (6562)------------------------------
% 2.83/1.04  % (6562)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.83/1.04  % (6562)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.83/1.04  % (6562)Termination reason: Time limit
% 2.83/1.04  % (6562)Termination phase: Saturation
% 2.83/1.04  
% 2.83/1.04  % (6562)Memory used [KB]: 4231
% 2.83/1.04  % (6562)Time elapsed: 0.385 s
% 2.83/1.04  % (6562)Instructions burned: 1737 (million)
% 2.83/1.06  % (6443)Running in auto input_syntax mode. Trying TPTP
% 2.83/1.06  % (6640)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2993ds/9564Mi)
% 2.83/1.07  % (6443)Running in auto input_syntax mode. Trying TPTP
% 2.83/1.07  % (6641)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2993ds/50409Mi)
% 2.83/1.08  % (6641)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.83/1.08  % (6641)Terminated due to inappropriate strategy.
% 2.83/1.08  % (6641)------------------------------
% 2.83/1.08  % (6641)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.83/1.08  % (6641)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.83/1.08  % (6641)Termination reason: Inappropriate
% 2.83/1.08  
% 2.83/1.08  % (6641)Memory used [KB]: 1179
% 2.83/1.08  % (6641)Time elapsed: 0.004 s
% 2.83/1.08  % (6641)Instructions burned: 15 (million)
% 2.83/1.08  % (6641)------------------------------
% 2.83/1.08  % (6641)------------------------------
% 4.98/1.11  % (6443)Running in auto input_syntax mode. Trying TPTP
% 4.98/1.11  % (6642)dis+2_3:1_bsr=on:sil=64000:abs=on:i=10852:gsp=on:fs=off:fsr=off_0 on theBenchmark for (2993ds/10852Mi)
% 5.49/1.16  % (6561)Instruction limit reached!
% 5.49/1.16  % (6561)------------------------------
% 5.49/1.16  % (6561)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.49/1.16  % (6561)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.49/1.16  % (6561)Termination reason: Time limit
% 5.49/1.16  % (6561)Termination phase: Saturation
% 5.49/1.16  
% 5.49/1.16  % (6561)Memory used [KB]: 7223
% 5.49/1.16  % (6561)Time elapsed: 0.517 s
% 5.49/1.16  % (6561)Instructions burned: 1695 (million)
% 5.66/1.20  % (6443)Running in auto input_syntax mode. Trying TPTP
% 5.66/1.20  % (6643)dis+11_61:31_bsr=unit_only:sil=16000:sp=frequency:rp=on:newcnf=on:i=11327:uhcvi=on:rawr=on:abs=on:lsd=5:add=off_0 on theBenchmark for (2992ds/11327Mi)
% 5.86/1.28  % (6538)Instruction limit reached!
% 5.86/1.28  % (6538)------------------------------
% 5.86/1.28  % (6538)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.86/1.28  % (6538)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.86/1.28  % (6538)Termination reason: Time limit
% 5.86/1.28  % (6538)Termination phase: Saturation
% 5.86/1.28  
% 5.86/1.28  % (6538)Memory used [KB]: 10978
% 5.86/1.28  % (6538)Time elapsed: 0.696 s
% 5.86/1.28  % (6538)Instructions burned: 2147 (million)
% 6.23/1.32  % (6443)Running in auto input_syntax mode. Trying TPTP
% 6.23/1.32  % (6644)fmb+10_1:1_fmbas=expand:sil=128000:i=17908:nm=2:fmbss=15:gsp=on_0 on theBenchmark for (2991ds/17908Mi)
% 6.23/1.32  % (6644)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.23/1.32  % (6644)Terminated due to inappropriate strategy.
% 6.23/1.32  % (6644)------------------------------
% 6.23/1.32  % (6644)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.23/1.32  % (6644)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.23/1.32  % (6644)Termination reason: Inappropriate
% 6.23/1.32  
% 6.23/1.32  % (6644)Memory used [KB]: 1180
% 6.23/1.32  % (6644)Time elapsed: 0.004 s
% 6.23/1.32  % (6644)Instructions burned: 15 (million)
% 6.23/1.32  % (6644)------------------------------
% 6.23/1.32  % (6644)------------------------------
% 6.23/1.35  % (6443)Running in auto input_syntax mode. Trying TPTP
% 6.23/1.35  % (6645)dis+11_1:1_anc=all:sil=64000:rp=on:newcnf=on:i=22636:alpa=false:atotf=0.1:gs=on_0 on theBenchmark for (2990ds/22636Mi)
% 9.93/1.78  % (6590)Instruction limit reached!
% 9.93/1.78  % (6590)------------------------------
% 9.93/1.78  % (6590)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.93/1.78  % (6590)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.93/1.78  % (6590)Termination reason: Time limit
% 9.93/1.78  % (6590)Termination phase: Saturation
% 9.93/1.78  
% 9.93/1.78  % (6590)Memory used [KB]: 10343
% 9.93/1.78  % (6590)Time elapsed: 1.028 s
% 9.93/1.78  % (6590)Instructions burned: 3982 (million)
% 10.14/1.82  % (6443)Running in auto input_syntax mode. Trying TPTP
% 10.14/1.82  % (6646)fmb+10_1:1_i=30223_0 on theBenchmark for (2986ds/30223Mi)
% 10.14/1.82  % (6646)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.14/1.82  % (6646)Terminated due to inappropriate strategy.
% 10.14/1.82  % (6646)------------------------------
% 10.14/1.82  % (6646)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.14/1.82  % (6646)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.14/1.82  % (6646)Termination reason: Inappropriate
% 10.14/1.82  
% 10.14/1.82  % (6646)Memory used [KB]: 1179
% 10.14/1.82  % (6646)Time elapsed: 0.004 s
% 10.14/1.82  % (6646)Instructions burned: 14 (million)
% 10.14/1.82  % (6646)------------------------------
% 10.14/1.82  % (6646)------------------------------
% 10.14/1.85  % (6443)Running in auto input_syntax mode. Trying TPTP
% 10.14/1.85  % (6647)ott+11_8:1_sil=64000:i=37350:fsr=off:bsr=unit_only:newcnf=on_0 on theBenchmark for (2985ds/37350Mi)
% 12.36/2.19  % (6597)First to succeed.
% 12.36/2.20  % (6597)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6443"
% 12.36/2.20  % (6443)Running in auto input_syntax mode. Trying TPTP
% 12.36/2.20  % (6597)Refutation found. Thanks to Tanya!
% 12.36/2.20  % SZS status Theorem for theBenchmark
% 12.36/2.20  % SZS output start Proof for theBenchmark
% See solution above
% 12.36/2.20  % (6597)------------------------------
% 12.36/2.20  % (6597)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.36/2.20  % (6597)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.36/2.20  % (6597)Termination reason: Refutation
% 12.36/2.20  
% 12.36/2.20  % (6597)Memory used [KB]: 13465
% 12.36/2.20  % (6597)Time elapsed: 1.396 s
% 12.36/2.20  % (6597)Instructions burned: 6768 (million)
% 12.36/2.20  % (6597)------------------------------
% 12.36/2.20  % (6597)------------------------------
% 12.36/2.20  % (6443)Success in time 1.797 s
%------------------------------------------------------------------------------