TSTP Solution File: SWW000_1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW000_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n023.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 18:47:18 EDT 2024

% Result   : Theorem 12.76s 2.18s
% Output   : Refutation 12.76s
% 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       : 5538 (4570 equ)
%            Maximal formula atoms :  788 ( 263 avg)
%            Number of connectives : 8416 (2899   ~;1387   |;4125   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  100 (  34 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     : 5604 ( 963 atm;   0 fun;2873 num;1768 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   : 1768 (1768   !;   0   ?;1768   :)

% 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(f27696,plain,
    $false,
    inference(unit_resulting_resolution,[],[f24,f25,f26,f28,f29,f31,f118,f111,f117,f114,f112,f116,f105]) ).

tff(f105,plain,
    ! [X21: $int,X22: $int,X23: $int,X20: $int] :
      ( ~ $less(b(X21),3)
      | ( 5 != b(X22) )
      | ~ $less(X21,X20)
      | ( 2 != a(X23) )
      | ( 10 != a(X21) )
      | ( 5 != a(X20) )
      | ( X22 = X23 )
      | ( X21 = X23 )
      | ( X21 = X22 )
      | ( X20 = X23 )
      | ( X20 = X22 )
      | ( X20 = X21 ) ),
    inference(cnf_transformation,[],[f19]) ).

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

tff(f18,plain,
    ( $less(z2,z1)
    & ( 5 = b(z3) )
    & $less(b(z2),3)
    & ( 2 = b(z1) )
    & ( 2 = a(z4) )
    & ( 5 = 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)
        | ( 2 != 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)
        | ( 5 != b(X6) )
        | ~ $less(b(X5),3)
        | ( 1 != a(X7) )
        | ( 10 != a(X5) )
        | ( 5 != a(X4) )
        | ( X6 = X7 )
        | ( X5 = X7 )
        | ( X5 = X6 )
        | ( X4 = X7 )
        | ( X4 = X6 )
        | ( X4 = X5 ) )
    & ! [X8: $int,X9: $int,X10: $int,X11: $int] :
        ( ~ $less(X9,X8)
        | ( 2 != b(X11) )
        | ~ $less(b(X9),3)
        | ( 8 != a(X10) )
        | ( 10 != a(X9) )
        | ( 4 != 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)
        | ~ $less(b(X13),3)
        | ( 2 != a(X15) )
        | ( 8 != 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)
        | ( 2 != b(X19) )
        | ( 5 != b(X18) )
        | ~ $less(b(X17),3)
        | ( 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)
        | ( 5 != b(X22) )
        | ~ $less(b(X21),3)
        | ( 2 != a(X23) )
        | ( 10 != a(X21) )
        | ( 5 != a(X20) )
        | ( X22 = X23 )
        | ( X21 = X23 )
        | ( X21 = X22 )
        | ( X20 = X23 )
        | ( X20 = X22 )
        | ( X20 = X21 ) )
    & ! [X24: $int,X25: $int,X26: $int] :
        ( ~ $less(X25,X24)
        | ( 2 != b(X25) )
        | ( 5 != b(X24) )
        | ( 4 != a(X26) )
        | ( 10 != a(X25) )
        | ( 12 != a(X24) )
        | ( X25 = X26 )
        | ( X24 = X26 )
        | ( X24 = X25 ) )
    & ! [X27: $int,X28: $int,X29: $int] :
        ( ~ $less(X28,X27)
        | ( 2 != b(X28) )
        | ( 5 != b(X27) )
        | ( 5 != a(X29) )
        | ( 10 != a(X28) )
        | ( 12 != a(X27) )
        | ( X28 = X29 )
        | ( X27 = X29 )
        | ( X27 = X28 ) )
    & ! [X30: $int,X31: $int,X32: $int] :
        ( ~ $less(X31,X30)
        | ( 2 != b(X31) )
        | ( 5 != b(X30) )
        | ( 4 != a(X32) )
        | ( 10 != a(X31) )
        | ( 1 != a(X30) )
        | ( X31 = X32 )
        | ( X30 = X32 )
        | ( X30 = X31 ) )
    & ! [X33: $int,X34: $int,X35: $int] :
        ( ~ $less(X34,X33)
        | ( 2 != b(X34) )
        | ( 5 != b(X33) )
        | ( 4 != a(X35) )
        | ( 10 != a(X34) )
        | ( 2 != a(X33) )
        | ( X34 = X35 )
        | ( X33 = X35 )
        | ( X33 = X34 ) )
    & ! [X36: $int,X37: $int,X38: $int] :
        ( ~ $less(X37,X36)
        | ( 2 != b(X37) )
        | ( 5 != b(X36) )
        | ( 6 != a(X38) )
        | ( 10 != a(X37) )
        | ( 12 != a(X36) )
        | ( X37 = X38 )
        | ( X36 = X38 )
        | ( X36 = X37 ) )
    & ! [X39: $int,X40: $int,X41: $int] :
        ( ~ $less(X40,X39)
        | ( 2 != b(X40) )
        | ( 5 != b(X39) )
        | ( 5 != a(X41) )
        | ( 10 != a(X40) )
        | ( 1 != a(X39) )
        | ( X40 = X41 )
        | ( X39 = X41 )
        | ( X39 = X40 ) )
    & ! [X42: $int,X43: $int,X44: $int,X45: $int] :
        ( ~ $less(X43,X42)
        | ( 5 != b(X45) )
        | ( 2 != b(X44) )
        | ~ $less(b(X43),3)
        | ( 7 != a(X44) )
        | ( 10 != a(X43) )
        | ( 12 != a(X42) )
        | ( X44 = X45 )
        | ( X43 = X45 )
        | ( X43 = X44 )
        | ( X42 = X45 )
        | ( X42 = X44 )
        | ( X42 = X43 ) )
    & ! [X46: $int,X47: $int,X48: $int] :
        ( ~ $less(X47,X46)
        | ( 2 != b(X48) )
        | ~ $less(b(X47),3)
        | ( 5 != b(X46) )
        | ( 7 != a(X48) )
        | ( 10 != a(X47) )
        | ( 12 != a(X46) )
        | ( X47 = X48 )
        | ( X46 = X48 )
        | ( X46 = X47 ) )
    & ! [X49: $int,X50: $int,X51: $int] :
        ( ~ $less(X50,X49)
        | ( 2 != b(X50) )
        | ( 5 != b(X49) )
        | ( 5 != a(X51) )
        | ( 10 != a(X50) )
        | ( 2 != a(X49) )
        | ( X50 = X51 )
        | ( X49 = X51 )
        | ( X49 = X50 ) )
    & ! [X52: $int,X53: $int,X54: $int,X55: $int] :
        ( ~ $less(X53,X52)
        | ( 5 != b(X55) )
        | ~ $less(b(X54),4)
        | ( 2 != b(X53) )
        | ( 7 != a(X54) )
        | ( 10 != a(X53) )
        | ( 12 != a(X52) )
        | ( X54 = X55 )
        | ( X53 = X55 )
        | ( X53 = X54 )
        | ( X52 = X55 )
        | ( X52 = X54 )
        | ( X52 = X53 ) )
    & ! [X56: $int,X57: $int,X58: $int] :
        ( ~ $less(X57,X56)
        | ~ $less(b(X58),4)
        | ( 2 != b(X57) )
        | ( 5 != b(X56) )
        | ( 7 != a(X58) )
        | ( 10 != a(X57) )
        | ( 12 != a(X56) )
        | ( X57 = X58 )
        | ( X56 = X58 )
        | ( X56 = X57 ) )
    & ! [X59: $int,X60: $int,X61: $int] :
        ( ~ $less(X60,X59)
        | ( 2 != b(X60) )
        | ( 5 != b(X59) )
        | ( 6 != a(X61) )
        | ( 10 != a(X60) )
        | ( 1 != a(X59) )
        | ( X60 = X61 )
        | ( X59 = X61 )
        | ( X59 = X60 ) )
    & ! [X62: $int,X63: $int,X64: $int] :
        ( ~ $less(X63,X62)
        | ( 2 != b(X64) )
        | ~ $less(b(X63),3)
        | ( 8 != a(X64) )
        | ( 10 != a(X63) )
        | ( 12 != a(X62) )
        | ( X63 = X64 )
        | ( X62 = X64 )
        | ( X62 = X63 ) )
    & ! [X65: $int,X66: $int,X67: $int,X68: $int] :
        ( ~ $less(X66,X65)
        | ( 5 != b(X68) )
        | ( 2 != b(X67) )
        | ~ $less(b(X66),3)
        | ( 7 != a(X67) )
        | ( 10 != a(X66) )
        | ( 1 != a(X65) )
        | ( X67 = X68 )
        | ( X66 = X68 )
        | ( X66 = X67 )
        | ( X65 = X68 )
        | ( X65 = X67 )
        | ( X65 = X66 ) )
    & ! [X69: $int,X70: $int,X71: $int] :
        ( ~ $less(X70,X69)
        | ( 2 != b(X71) )
        | ~ $less(b(X70),3)
        | ( 5 != b(X69) )
        | ( 7 != a(X71) )
        | ( 10 != a(X70) )
        | ( 1 != a(X69) )
        | ( X70 = X71 )
        | ( X69 = X71 )
        | ( X69 = X70 ) )
    & ! [X72: $int,X73: $int,X74: $int] :
        ( ~ $less(X73,X72)
        | ( 2 != b(X73) )
        | ( 5 != b(X72) )
        | ( 4 != a(X74) )
        | ( 10 != a(X73) )
        | ( 4 != a(X72) )
        | ( X73 = X74 )
        | ( X72 = X74 )
        | ( X72 = X73 ) )
    & ! [X75: $int,X76: $int,X77: $int] :
        ( ~ $less(X76,X75)
        | ( 2 != b(X76) )
        | ( 5 != b(X75) )
        | ( 6 != a(X77) )
        | ( 10 != a(X76) )
        | ( 2 != a(X75) )
        | ( X76 = X77 )
        | ( X75 = X77 )
        | ( X75 = X76 ) )
    & ! [X78: $int,X79: $int,X80: $int] :
        ( ~ $less(X79,X78)
        | ~ $less(b(X80),4)
        | ( 2 != b(X79) )
        | ( 8 != a(X80) )
        | ( 10 != a(X79) )
        | ( 12 != a(X78) )
        | ( X79 = X80 )
        | ( X78 = X80 )
        | ( X78 = X79 ) )
    & ! [X81: $int,X82: $int,X83: $int,X84: $int] :
        ( ~ $less(X82,X81)
        | ( 5 != b(X84) )
        | ~ $less(b(X83),4)
        | ( 2 != b(X82) )
        | ( 7 != a(X83) )
        | ( 10 != a(X82) )
        | ( 1 != a(X81) )
        | ( X83 = X84 )
        | ( X82 = X84 )
        | ( X82 = X83 )
        | ( X81 = X84 )
        | ( X81 = X83 )
        | ( X81 = X82 ) )
    & ! [X85: $int,X86: $int,X87: $int] :
        ( ~ $less(X86,X85)
        | ~ $less(b(X87),4)
        | ( 2 != b(X86) )
        | ( 5 != b(X85) )
        | ( 7 != a(X87) )
        | ( 10 != a(X86) )
        | ( 1 != a(X85) )
        | ( X86 = X87 )
        | ( X85 = X87 )
        | ( X85 = X86 ) )
    & ! [X88: $int,X89: $int,X90: $int,X91: $int] :
        ( ~ $less(X89,X88)
        | ( 5 != b(X91) )
        | ( 2 != b(X90) )
        | ~ $less(b(X89),3)
        | ( 7 != a(X90) )
        | ( 10 != a(X89) )
        | ( 2 != a(X88) )
        | ( X90 = X91 )
        | ( X89 = X91 )
        | ( X89 = X90 )
        | ( X88 = X91 )
        | ( X88 = X90 )
        | ( X88 = X89 ) )
    & ! [X92: $int,X93: $int,X94: $int] :
        ( ~ $less(X93,X92)
        | ( 2 != b(X94) )
        | ~ $less(b(X93),3)
        | ( 5 != b(X92) )
        | ( 7 != a(X94) )
        | ( 10 != a(X93) )
        | ( 2 != a(X92) )
        | ( X93 = X94 )
        | ( X92 = X94 )
        | ( X92 = X93 ) )
    & ! [X95: $int,X96: $int,X97: $int] :
        ( ~ $less(X96,X95)
        | ( 2 != b(X97) )
        | ~ $less(b(X96),3)
        | ( 8 != 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(X99) )
        | ( 5 != b(X98) )
        | ( 4 != a(X100) )
        | ( 10 != a(X99) )
        | ( 5 != a(X98) )
        | ( X99 = X100 )
        | ( X98 = X100 )
        | ( X98 = X99 ) )
    & ! [X101: $int,X102: $int,X103: $int] :
        ( ~ $less(X102,X101)
        | ( 2 != b(X102) )
        | ( 5 != b(X101) )
        | ( 5 != a(X103) )
        | ( 10 != a(X102) )
        | ( 4 != a(X101) )
        | ( X102 = X103 )
        | ( X101 = X103 )
        | ( X101 = X102 ) )
    & ! [X104: $int,X105: $int,X106: $int,X107: $int] :
        ( ~ $less(X105,X104)
        | ( 5 != b(X107) )
        | ~ $less(b(X106),4)
        | ( 2 != b(X105) )
        | ( 7 != a(X106) )
        | ( 10 != a(X105) )
        | ( 2 != a(X104) )
        | ( X106 = X107 )
        | ( X105 = X107 )
        | ( X105 = X106 )
        | ( X104 = X107 )
        | ( X104 = X106 )
        | ( X104 = X105 ) )
    & ! [X108: $int,X109: $int,X110: $int] :
        ( ~ $less(X109,X108)
        | ~ $less(b(X110),4)
        | ( 2 != b(X109) )
        | ( 5 != b(X108) )
        | ( 7 != a(X110) )
        | ( 10 != a(X109) )
        | ( 2 != a(X108) )
        | ( X109 = X110 )
        | ( X108 = X110 )
        | ( X108 = X109 ) )
    & ! [X111: $int,X112: $int,X113: $int] :
        ( ~ $less(X112,X111)
        | ~ $less(b(X113),4)
        | ( 2 != b(X112) )
        | ( 8 != a(X113) )
        | ( 10 != a(X112) )
        | ( 1 != a(X111) )
        | ( X112 = X113 )
        | ( X111 = X113 )
        | ( X111 = X112 ) )
    & ! [X114: $int,X115: $int,X116: $int] :
        ( ~ $less(X115,X114)
        | ( 2 != b(X115) )
        | ( 5 != b(X114) )
        | ( 4 != a(X116) )
        | ( 10 != a(X115) )
        | ( 6 != a(X114) )
        | ( X115 = X116 )
        | ( X114 = X116 )
        | ( X114 = X115 ) )
    & ! [X117: $int,X118: $int,X119: $int,X120: $int] :
        ( ~ $less(X118,X117)
        | ( 2 != b(X120) )
        | ( 2 != b(X119) )
        | ~ $less(b(X118),3)
        | ( 5 != b(X117) )
        | ( 5 != a(X119) )
        | ( 10 != a(X118) )
        | ( 5 != a(X117) )
        | ( X119 = X120 )
        | ( X118 = X120 )
        | ( X118 = X119 )
        | ( X117 = X120 )
        | ( X117 = X119 )
        | ( X117 = X118 ) )
    & ! [X121: $int,X122: $int,X123: $int,X124: $int] :
        ( ~ $less(X122,X121)
        | ( 5 != b(X124) )
        | ( 2 != b(X123) )
        | ~ $less(b(X122),3)
        | ~ $less(b(X121),4)
        | ( 7 != a(X123) )
        | ( 10 != a(X122) )
        | ( 3 != a(X121) )
        | ( X123 = X124 )
        | ( X122 = X124 )
        | ( X122 = X123 )
        | ( X121 = X124 )
        | ( X121 = X123 )
        | ( X121 = X122 ) )
    & ! [X125: $int,X126: $int,X127: $int] :
        ( ~ $less(X126,X125)
        | ( 2 != b(X127) )
        | ~ $less(b(X126),3)
        | ( 8 != a(X127) )
        | ( 10 != a(X126) )
        | ( 2 != a(X125) )
        | ( X126 = X127 )
        | ( X125 = X127 )
        | ( X125 = X126 ) )
    & ! [X128: $int,X129: $int,X130: $int] :
        ( ~ $less(X129,X128)
        | ( 2 != b(X129) )
        | ( 5 != b(X128) )
        | ( 5 != a(X130) )
        | ( 10 != a(X129) )
        | ( 5 != a(X128) )
        | ( X129 = X130 )
        | ( X128 = X130 )
        | ( X128 = X129 ) )
    & ! [X131: $int,X132: $int,X133: $int] :
        ( ~ $less(X132,X131)
        | ( 2 != b(X132) )
        | ( 5 != b(X131) )
        | ( 6 != a(X133) )
        | ( 10 != a(X132) )
        | ( 4 != a(X131) )
        | ( X132 = X133 )
        | ( X131 = X133 )
        | ( X131 = X132 ) )
    & ! [X134: $int,X135: $int,X136: $int,X137: $int] :
        ( ~ $less(X135,X134)
        | ( 5 != b(X137) )
        | ~ $less(b(X136),4)
        | ( 2 != b(X135) )
        | ~ $less(b(X134),4)
        | ( 7 != a(X136) )
        | ( 10 != a(X135) )
        | ( 3 != a(X134) )
        | ( X136 = X137 )
        | ( X135 = X137 )
        | ( X135 = X136 )
        | ( X134 = X137 )
        | ( X134 = X136 )
        | ( X134 = X135 ) )
    & ! [X138: $int,X139: $int,X140: $int] :
        ( ~ $less(X139,X138)
        | ~ $less(b(X140),4)
        | ( 2 != b(X139) )
        | ( 8 != a(X140) )
        | ( 10 != a(X139) )
        | ( 2 != a(X138) )
        | ( X139 = X140 )
        | ( X138 = X140 )
        | ( X138 = X139 ) )
    & ! [X141: $int,X142: $int,X143: $int] :
        ( ~ $less(X142,X141)
        | ( 2 != b(X142) )
        | ( 5 != b(X141) )
        | ( 4 != a(X143) )
        | ( 10 != a(X142) )
        | ( 7 != a(X141) )
        | ( X142 = X143 )
        | ( X141 = X143 )
        | ( X141 = X142 ) )
    & ! [X144: $int,X145: $int,X146: $int,X147: $int] :
        ( ~ $less(X145,X144)
        | ( 2 != b(X147) )
        | ~ $less(b(X145),3)
        | ( 5 != b(X144) )
        | ( 5 != a(X146) )
        | ( 10 != a(X145) )
        | ( 6 != a(X144) )
        | ( X146 = X147 )
        | ( X145 = X147 )
        | ( X145 = X146 )
        | ( X144 = X147 )
        | ( X144 = X146 )
        | ( X144 = X145 ) )
    & ! [X148: $int,X149: $int,X150: $int] :
        ( ~ $less(X149,X148)
        | ( 2 != b(X149) )
        | ( 5 != b(X148) )
        | ( 5 != a(X150) )
        | ( 10 != a(X149) )
        | ( 6 != a(X148) )
        | ( X149 = X150 )
        | ( X148 = X150 )
        | ( X148 = X149 ) )
    & ! [X151: $int,X152: $int,X153: $int,X154: $int] :
        ( ~ $less(X152,X151)
        | ( 2 != b(X154) )
        | ~ $less(b(X152),3)
        | ( 5 != b(X151) )
        | ( 6 != a(X153) )
        | ( 10 != a(X152) )
        | ( 5 != a(X151) )
        | ( X153 = X154 )
        | ( X152 = X154 )
        | ( X152 = X153 )
        | ( X151 = X154 )
        | ( X151 = X153 )
        | ( X151 = X152 ) )
    & ! [X155: $int,X156: $int,X157: $int] :
        ( ~ $less(X156,X155)
        | ( 2 != b(X157) )
        | ~ $less(b(X156),3)
        | ( 5 != b(X155) )
        | ( 6 != a(X157) )
        | ( 10 != a(X156) )
        | ( 5 != a(X155) )
        | ( X156 = X157 )
        | ( X155 = X157 )
        | ( X155 = X156 ) )
    & ! [X158: $int,X159: $int,X160: $int,X161: $int] :
        ( ~ $less(X159,X158)
        | ( 5 != b(X161) )
        | ( 2 != b(X160) )
        | ~ $less(b(X159),3)
        | ( 7 != a(X160) )
        | ( 10 != a(X159) )
        | ( 4 != a(X158) )
        | ( X160 = X161 )
        | ( X159 = X161 )
        | ( X159 = X160 )
        | ( X158 = X161 )
        | ( X158 = X160 )
        | ( X158 = X159 ) )
    & ! [X162: $int,X163: $int,X164: $int] :
        ( ~ $less(X163,X162)
        | ( 2 != b(X164) )
        | ~ $less(b(X163),3)
        | ( 5 != b(X162) )
        | ( 7 != a(X164) )
        | ( 10 != a(X163) )
        | ( 4 != a(X162) )
        | ( X163 = X164 )
        | ( X162 = X164 )
        | ( X162 = X163 ) )
    & ! [X165: $int,X166: $int,X167: $int] :
        ( ~ $less(X166,X165)
        | ( 2 != b(X167) )
        | ~ $less(b(X166),3)
        | ~ $less(b(X165),4)
        | ( 8 != a(X167) )
        | ( 10 != a(X166) )
        | ( 3 != a(X165) )
        | ( X166 = X167 )
        | ( X165 = X167 )
        | ( X165 = X166 ) )
    & ! [X168: $int,X169: $int,X170: $int] :
        ( ~ $less(X169,X168)
        | ( 2 != b(X169) )
        | ( 5 != b(X168) )
        | ( 6 != a(X170) )
        | ( 10 != a(X169) )
        | ( 5 != a(X168) )
        | ( X169 = X170 )
        | ( X168 = X170 )
        | ( X168 = X169 ) )
    & ! [X171: $int,X172: $int,X173: $int] :
        ( ~ $less(X172,X171)
        | ( 2 != b(X172) )
        | ( 5 != b(X171) )
        | ( 7 != a(X173) )
        | ( 10 != a(X172) )
        | ( 4 != a(X171) )
        | ( X172 = X173 )
        | ( X171 = X173 )
        | ( X171 = X172 ) )
    & ! [X174: $int,X175: $int,X176: $int] :
        ( ~ $less(X175,X174)
        | ~ $less(b(X176),4)
        | ( 2 != b(X175) )
        | ~ $less(b(X174),4)
        | ( 8 != a(X176) )
        | ( 10 != a(X175) )
        | ( 3 != a(X174) )
        | ( X175 = X176 )
        | ( X174 = X176 )
        | ( X174 = X175 ) )
    & ! [X177: $int,X178: $int,X179: $int,X180: $int] :
        ( ~ $less(X178,X177)
        | ( 2 != b(X180) )
        | ~ $less(b(X178),3)
        | ( 5 != b(X177) )
        | ( 5 != a(X179) )
        | ( 10 != a(X178) )
        | ( 7 != a(X177) )
        | ( X179 = X180 )
        | ( X178 = X180 )
        | ( X178 = X179 )
        | ( X177 = X180 )
        | ( X177 = X179 )
        | ( X177 = X178 ) )
    & ! [X181: $int,X182: $int,X183: $int] :
        ( ~ $less(X182,X181)
        | ( 2 != b(X182) )
        | ( 5 != b(X181) )
        | ( 5 != a(X183) )
        | ( 10 != a(X182) )
        | ( 7 != a(X181) )
        | ( X182 = X183 )
        | ( X181 = X183 )
        | ( X181 = X182 ) )
    & ! [X184: $int,X185: $int,X186: $int] :
        ( ~ $less(X185,X184)
        | ~ $less(b(X185),3)
        | ( 5 != b(X184) )
        | ( 6 != 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) )
        | ( 7 != 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) )
        | ( 7 != a(X193) )
        | ( 10 != a(X192) )
        | ( 5 != a(X191) )
        | ( X192 = X193 )
        | ( X191 = X193 )
        | ( X191 = X192 ) )
    & ! [X194: $int,X195: $int,X196: $int] :
        ( ~ $less(X195,X194)
        | ( 2 != b(X196) )
        | ~ $less(b(X195),3)
        | ( 8 != a(X196) )
        | ( 10 != a(X195) )
        | ( 4 != a(X194) )
        | ( X195 = X196 )
        | ( X194 = X196 )
        | ( X194 = X195 ) )
    & ! [X197: $int,X198: $int,X199: $int] :
        ( ~ $less(X198,X197)
        | ( 2 != b(X198) )
        | ( 5 != b(X197) )
        | ( 7 != a(X199) )
        | ( 10 != a(X198) )
        | ( 5 != a(X197) )
        | ( X198 = X199 )
        | ( X197 = X199 )
        | ( X197 = X198 ) )
    & ! [X200: $int,X201: $int,X202: $int] :
        ( ~ $less(X201,X200)
        | ( 2 != b(X201) )
        | ( 8 != a(X202) )
        | ( 10 != a(X201) )
        | ( 4 != a(X200) )
        | ( X201 = X202 )
        | ( X200 = X202 )
        | ( X200 = X201 ) )
    & ! [X203: $int,X204: $int,X205: $int] :
        ( ~ $less(X204,X203)
        | ~ $less(b(X204),3)
        | ( 5 != b(X203) )
        | ( 6 != a(X205) )
        | ( 10 != a(X204) )
        | ( 7 != a(X203) )
        | ( X204 = X205 )
        | ( X203 = X205 )
        | ( X203 = X204 ) )
    & ! [X206: $int,X207: $int,X208: $int] :
        ( ~ $less(X207,X206)
        | ~ $less(b(X207),3)
        | ( 5 != b(X206) )
        | ( 7 != a(X208) )
        | ( 10 != a(X207) )
        | ( 6 != a(X206) )
        | ( X207 = X208 )
        | ( X206 = X208 )
        | ( X206 = X207 ) )
    & ! [X209: $int,X210: $int,X211: $int,X212: $int] :
        ( ~ $less(X210,X209)
        | ( 2 != b(X212) )
        | ~ $less(b(X210),3)
        | ( 8 != a(X211) )
        | ( 10 != a(X210) )
        | ( 5 != a(X209) )
        | ( X211 = X212 )
        | ( X210 = X212 )
        | ( X210 = X211 )
        | ( X209 = X212 )
        | ( X209 = X211 )
        | ( X209 = X210 ) )
    & ! [X213: $int,X214: $int,X215: $int] :
        ( ~ $less(X214,X213)
        | ( 2 != b(X215) )
        | ~ $less(b(X214),3)
        | ( 8 != a(X215) )
        | ( 10 != a(X214) )
        | ( 5 != a(X213) )
        | ( X214 = X215 )
        | ( X213 = X215 )
        | ( X213 = X214 ) )
    & ! [X216: $int,X217: $int,X218: $int] :
        ( ~ $less(X217,X216)
        | ( 2 != b(X217) )
        | ( 8 != a(X218) )
        | ( 10 != a(X217) )
        | ( 5 != a(X216) )
        | ( X217 = X218 )
        | ( X216 = X218 )
        | ( X216 = X217 ) )
    & ! [X219: $int,X220: $int,X221: $int] :
        ( ~ $less(X220,X219)
        | ( 5 != b(X221) )
        | ( 2 != b(X220) )
        | ( 10 != a(X220) )
        | ( 4 != a(X219) )
        | ( X220 = X221 )
        | ( X219 = X221 )
        | ( X219 = X220 ) )
    & ! [X222: $int,X223: $int,X224: $int] :
        ( ~ $less(X223,X222)
        | ~ $less(b(X223),3)
        | ( 5 != b(X222) )
        | ( 7 != a(X224) )
        | ( 10 != a(X223) )
        | ( 7 != a(X222) )
        | ( X223 = X224 )
        | ( X222 = X224 )
        | ( X222 = X223 ) )
    & ! [X225: $int,X226: $int,X227: $int] :
        ( ~ $less(X226,X225)
        | ~ $less(b(X226),3)
        | ( 8 != a(X227) )
        | ( 10 != a(X226) )
        | ( 6 != a(X225) )
        | ( X226 = X227 )
        | ( X225 = X227 )
        | ( X225 = X226 ) )
    & ! [X228: $int,X229: $int,X230: $int,X231: $int] :
        ( ~ $less(X229,X228)
        | ( 2 != b(X231) )
        | ( 5 != b(X230) )
        | ~ $less(b(X229),3)
        | ( 10 != a(X229) )
        | ( 5 != a(X228) )
        | ( X230 = X231 )
        | ( X229 = X231 )
        | ( X229 = X230 )
        | ( X228 = X231 )
        | ( X228 = X230 )
        | ( X228 = X229 ) )
    & ! [X232: $int,X233: $int,X234: $int] :
        ( ~ $less(X233,X232)
        | ( 5 != b(X234) )
        | ( 2 != b(X233) )
        | ( 10 != a(X233) )
        | ( 5 != a(X232) )
        | ( X233 = X234 )
        | ( X232 = X234 )
        | ( X232 = X233 ) )
    & ! [X235: $int,X236: $int,X237: $int] :
        ( ~ $less(X236,X235)
        | ~ $less(b(X236),3)
        | ( 8 != a(X237) )
        | ( 10 != a(X236) )
        | ( 7 != a(X235) )
        | ( X236 = X237 )
        | ( X235 = X237 )
        | ( X235 = X236 ) )
    & ! [X238: $int,X239: $int,X240: $int] :
        ( ~ $less(X239,X238)
        | ( 5 != b(X240) )
        | ~ $less(b(X239),3)
        | ( 10 != a(X239) )
        | ( 6 != a(X238) )
        | ( X239 = X240 )
        | ( X238 = X240 )
        | ( X238 = X239 ) )
    & ! [X241: $int,X242: $int,X243: $int] :
        ( ~ $less(X242,X241)
        | ( 5 != b(X243) )
        | ~ $less(b(X242),3)
        | ( 10 != a(X242) )
        | ( 7 != a(X241) )
        | ( X242 = X243 )
        | ( X241 = X243 )
        | ( X241 = X242 ) )
    & ! [X244: $int,X245: $int] :
        ( ~ $less(X245,X244)
        | ~ $less(b(X245),3)
        | ( 10 != a(X245) )
        | ( 8 != a(X244) )
        | ( X244 = X245 ) )
    & ! [X246: $int,X247: $int] :
        ( ~ $less(X247,X246)
        | ~ $less(b(X247),3)
        | ( 10 != a(X247) )
        | ( 9 != a(X246) )
        | ( X246 = X247 ) )
    & ! [X248: $int,X249: $int] :
        ( ( 10 != a(X249) )
        | ( 10 != a(X248) )
        | ( X248 = X249 ) )
    & ( z4 != z5 )
    & ( z3 != z5 )
    & ( z3 != z4 )
    & ( z2 != z5 )
    & ( z2 != z4 )
    & ( z2 != z3 )
    & ( z1 != z5 )
    & ( z1 != z4 )
    & ( z1 != z3 )
    & ( z1 != z2 )
    & ! [X250: $int] :
        ( ~ $less(5,b(X250))
        & ~ $less(b(X250),1) )
    & ! [X251: $int] :
        ( ~ $less(12,a(X251))
        & ~ $less(a(X251),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)
              & ( 2 = 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)
              & ( 5 = b(X6) )
              & $less(b(X5),3)
              & ( 1 = a(X7) )
              & ( 10 = a(X5) )
              & ( 5 = a(X4) )
              & ( X6 != X7 )
              & ( X5 != X7 )
              & ( X5 != X6 )
              & ( X4 != X7 )
              & ( X4 != X6 )
              & ( X4 != X5 ) )
        & ! [X8: $int,X9: $int,X10: $int,X11: $int] :
            ~ ( $less(X9,X8)
              & ( 2 = b(X11) )
              & $less(b(X9),3)
              & ( 8 = a(X10) )
              & ( 10 = a(X9) )
              & ( 4 = 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)
              & $less(b(X13),3)
              & ( 2 = a(X15) )
              & ( 8 = 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)
              & ( 2 = b(X19) )
              & ( 5 = b(X18) )
              & $less(b(X17),3)
              & ( 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)
              & ( 5 = b(X22) )
              & $less(b(X21),3)
              & ( 2 = a(X23) )
              & ( 10 = a(X21) )
              & ( 5 = a(X20) )
              & ( X22 != X23 )
              & ( X21 != X23 )
              & ( X21 != X22 )
              & ( X20 != X23 )
              & ( X20 != X22 )
              & ( X20 != X21 ) )
        & ! [X24: $int,X25: $int,X26: $int] :
            ~ ( $less(X25,X24)
              & ( 2 = b(X25) )
              & ( 5 = b(X24) )
              & ( 4 = a(X26) )
              & ( 10 = a(X25) )
              & ( 12 = a(X24) )
              & ( X25 != X26 )
              & ( X24 != X26 )
              & ( X24 != X25 ) )
        & ! [X27: $int,X28: $int,X29: $int] :
            ~ ( $less(X28,X27)
              & ( 2 = b(X28) )
              & ( 5 = b(X27) )
              & ( 5 = a(X29) )
              & ( 10 = a(X28) )
              & ( 12 = a(X27) )
              & ( X28 != X29 )
              & ( X27 != X29 )
              & ( X27 != X28 ) )
        & ! [X30: $int,X31: $int,X32: $int] :
            ~ ( $less(X31,X30)
              & ( 2 = b(X31) )
              & ( 5 = b(X30) )
              & ( 4 = a(X32) )
              & ( 10 = a(X31) )
              & ( 1 = a(X30) )
              & ( X31 != X32 )
              & ( X30 != X32 )
              & ( X30 != X31 ) )
        & ! [X33: $int,X34: $int,X35: $int] :
            ~ ( $less(X34,X33)
              & ( 2 = b(X34) )
              & ( 5 = b(X33) )
              & ( 4 = a(X35) )
              & ( 10 = a(X34) )
              & ( 2 = a(X33) )
              & ( X34 != X35 )
              & ( X33 != X35 )
              & ( X33 != X34 ) )
        & ! [X36: $int,X37: $int,X38: $int] :
            ~ ( $less(X37,X36)
              & ( 2 = b(X37) )
              & ( 5 = b(X36) )
              & ( 6 = a(X38) )
              & ( 10 = a(X37) )
              & ( 12 = a(X36) )
              & ( X37 != X38 )
              & ( X36 != X38 )
              & ( X36 != X37 ) )
        & ! [X39: $int,X40: $int,X41: $int] :
            ~ ( $less(X40,X39)
              & ( 2 = b(X40) )
              & ( 5 = b(X39) )
              & ( 5 = a(X41) )
              & ( 10 = a(X40) )
              & ( 1 = a(X39) )
              & ( X40 != X41 )
              & ( X39 != X41 )
              & ( X39 != X40 ) )
        & ! [X42: $int,X43: $int,X44: $int,X45: $int] :
            ~ ( $less(X43,X42)
              & ( 5 = b(X45) )
              & ( 2 = b(X44) )
              & $less(b(X43),3)
              & ( 7 = a(X44) )
              & ( 10 = a(X43) )
              & ( 12 = a(X42) )
              & ( X44 != X45 )
              & ( X43 != X45 )
              & ( X43 != X44 )
              & ( X42 != X45 )
              & ( X42 != X44 )
              & ( X42 != X43 ) )
        & ! [X46: $int,X47: $int,X48: $int] :
            ~ ( $less(X47,X46)
              & ( 2 = b(X48) )
              & $less(b(X47),3)
              & ( 5 = b(X46) )
              & ( 7 = a(X48) )
              & ( 10 = a(X47) )
              & ( 12 = a(X46) )
              & ( X47 != X48 )
              & ( X46 != X48 )
              & ( X46 != X47 ) )
        & ! [X49: $int,X50: $int,X51: $int] :
            ~ ( $less(X50,X49)
              & ( 2 = b(X50) )
              & ( 5 = b(X49) )
              & ( 5 = a(X51) )
              & ( 10 = a(X50) )
              & ( 2 = a(X49) )
              & ( X50 != X51 )
              & ( X49 != X51 )
              & ( X49 != X50 ) )
        & ! [X52: $int,X53: $int,X54: $int,X55: $int] :
            ~ ( $less(X53,X52)
              & ( 5 = b(X55) )
              & $less(b(X54),4)
              & ( 2 = b(X53) )
              & ( 7 = a(X54) )
              & ( 10 = a(X53) )
              & ( 12 = a(X52) )
              & ( X54 != X55 )
              & ( X53 != X55 )
              & ( X53 != X54 )
              & ( X52 != X55 )
              & ( X52 != X54 )
              & ( X52 != X53 ) )
        & ! [X56: $int,X57: $int,X58: $int] :
            ~ ( $less(X57,X56)
              & $less(b(X58),4)
              & ( 2 = b(X57) )
              & ( 5 = b(X56) )
              & ( 7 = a(X58) )
              & ( 10 = a(X57) )
              & ( 12 = a(X56) )
              & ( X57 != X58 )
              & ( X56 != X58 )
              & ( X56 != X57 ) )
        & ! [X59: $int,X60: $int,X61: $int] :
            ~ ( $less(X60,X59)
              & ( 2 = b(X60) )
              & ( 5 = b(X59) )
              & ( 6 = a(X61) )
              & ( 10 = a(X60) )
              & ( 1 = a(X59) )
              & ( X60 != X61 )
              & ( X59 != X61 )
              & ( X59 != X60 ) )
        & ! [X62: $int,X63: $int,X64: $int] :
            ~ ( $less(X63,X62)
              & ( 2 = b(X64) )
              & $less(b(X63),3)
              & ( 8 = a(X64) )
              & ( 10 = a(X63) )
              & ( 12 = a(X62) )
              & ( X63 != X64 )
              & ( X62 != X64 )
              & ( X62 != X63 ) )
        & ! [X65: $int,X66: $int,X67: $int,X68: $int] :
            ~ ( $less(X66,X65)
              & ( 5 = b(X68) )
              & ( 2 = b(X67) )
              & $less(b(X66),3)
              & ( 7 = a(X67) )
              & ( 10 = a(X66) )
              & ( 1 = a(X65) )
              & ( X67 != X68 )
              & ( X66 != X68 )
              & ( X66 != X67 )
              & ( X65 != X68 )
              & ( X65 != X67 )
              & ( X65 != X66 ) )
        & ! [X69: $int,X70: $int,X71: $int] :
            ~ ( $less(X70,X69)
              & ( 2 = b(X71) )
              & $less(b(X70),3)
              & ( 5 = b(X69) )
              & ( 7 = a(X71) )
              & ( 10 = a(X70) )
              & ( 1 = a(X69) )
              & ( X70 != X71 )
              & ( X69 != X71 )
              & ( X69 != X70 ) )
        & ! [X72: $int,X73: $int,X74: $int] :
            ~ ( $less(X73,X72)
              & ( 2 = b(X73) )
              & ( 5 = b(X72) )
              & ( 4 = a(X74) )
              & ( 10 = a(X73) )
              & ( 4 = a(X72) )
              & ( X73 != X74 )
              & ( X72 != X74 )
              & ( X72 != X73 ) )
        & ! [X75: $int,X76: $int,X77: $int] :
            ~ ( $less(X76,X75)
              & ( 2 = b(X76) )
              & ( 5 = b(X75) )
              & ( 6 = a(X77) )
              & ( 10 = a(X76) )
              & ( 2 = a(X75) )
              & ( X76 != X77 )
              & ( X75 != X77 )
              & ( X75 != X76 ) )
        & ! [X78: $int,X79: $int,X80: $int] :
            ~ ( $less(X79,X78)
              & $less(b(X80),4)
              & ( 2 = b(X79) )
              & ( 8 = a(X80) )
              & ( 10 = a(X79) )
              & ( 12 = a(X78) )
              & ( X79 != X80 )
              & ( X78 != X80 )
              & ( X78 != X79 ) )
        & ! [X81: $int,X82: $int,X83: $int,X84: $int] :
            ~ ( $less(X82,X81)
              & ( 5 = b(X84) )
              & $less(b(X83),4)
              & ( 2 = b(X82) )
              & ( 7 = a(X83) )
              & ( 10 = a(X82) )
              & ( 1 = a(X81) )
              & ( X83 != X84 )
              & ( X82 != X84 )
              & ( X82 != X83 )
              & ( X81 != X84 )
              & ( X81 != X83 )
              & ( X81 != X82 ) )
        & ! [X85: $int,X86: $int,X87: $int] :
            ~ ( $less(X86,X85)
              & $less(b(X87),4)
              & ( 2 = b(X86) )
              & ( 5 = b(X85) )
              & ( 7 = a(X87) )
              & ( 10 = a(X86) )
              & ( 1 = a(X85) )
              & ( X86 != X87 )
              & ( X85 != X87 )
              & ( X85 != X86 ) )
        & ! [X88: $int,X89: $int,X90: $int,X91: $int] :
            ~ ( $less(X89,X88)
              & ( 5 = b(X91) )
              & ( 2 = b(X90) )
              & $less(b(X89),3)
              & ( 7 = a(X90) )
              & ( 10 = a(X89) )
              & ( 2 = a(X88) )
              & ( X90 != X91 )
              & ( X89 != X91 )
              & ( X89 != X90 )
              & ( X88 != X91 )
              & ( X88 != X90 )
              & ( X88 != X89 ) )
        & ! [X92: $int,X93: $int,X94: $int] :
            ~ ( $less(X93,X92)
              & ( 2 = b(X94) )
              & $less(b(X93),3)
              & ( 5 = b(X92) )
              & ( 7 = a(X94) )
              & ( 10 = a(X93) )
              & ( 2 = a(X92) )
              & ( X93 != X94 )
              & ( X92 != X94 )
              & ( X92 != X93 ) )
        & ! [X95: $int,X96: $int,X97: $int] :
            ~ ( $less(X96,X95)
              & ( 2 = b(X97) )
              & $less(b(X96),3)
              & ( 8 = 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(X99) )
              & ( 5 = b(X98) )
              & ( 4 = a(X100) )
              & ( 10 = a(X99) )
              & ( 5 = a(X98) )
              & ( X99 != X100 )
              & ( X98 != X100 )
              & ( X98 != X99 ) )
        & ! [X101: $int,X102: $int,X103: $int] :
            ~ ( $less(X102,X101)
              & ( 2 = b(X102) )
              & ( 5 = b(X101) )
              & ( 5 = a(X103) )
              & ( 10 = a(X102) )
              & ( 4 = a(X101) )
              & ( X102 != X103 )
              & ( X101 != X103 )
              & ( X101 != X102 ) )
        & ! [X104: $int,X105: $int,X106: $int,X107: $int] :
            ~ ( $less(X105,X104)
              & ( 5 = b(X107) )
              & $less(b(X106),4)
              & ( 2 = b(X105) )
              & ( 7 = a(X106) )
              & ( 10 = a(X105) )
              & ( 2 = a(X104) )
              & ( X106 != X107 )
              & ( X105 != X107 )
              & ( X105 != X106 )
              & ( X104 != X107 )
              & ( X104 != X106 )
              & ( X104 != X105 ) )
        & ! [X108: $int,X109: $int,X110: $int] :
            ~ ( $less(X109,X108)
              & $less(b(X110),4)
              & ( 2 = b(X109) )
              & ( 5 = b(X108) )
              & ( 7 = a(X110) )
              & ( 10 = a(X109) )
              & ( 2 = a(X108) )
              & ( X109 != X110 )
              & ( X108 != X110 )
              & ( X108 != X109 ) )
        & ! [X111: $int,X112: $int,X113: $int] :
            ~ ( $less(X112,X111)
              & $less(b(X113),4)
              & ( 2 = b(X112) )
              & ( 8 = a(X113) )
              & ( 10 = a(X112) )
              & ( 1 = a(X111) )
              & ( X112 != X113 )
              & ( X111 != X113 )
              & ( X111 != X112 ) )
        & ! [X114: $int,X115: $int,X116: $int] :
            ~ ( $less(X115,X114)
              & ( 2 = b(X115) )
              & ( 5 = b(X114) )
              & ( 4 = a(X116) )
              & ( 10 = a(X115) )
              & ( 6 = a(X114) )
              & ( X115 != X116 )
              & ( X114 != X116 )
              & ( X114 != X115 ) )
        & ! [X117: $int,X118: $int,X119: $int,X120: $int] :
            ~ ( $less(X118,X117)
              & ( 2 = b(X120) )
              & ( 2 = b(X119) )
              & $less(b(X118),3)
              & ( 5 = b(X117) )
              & ( 5 = a(X119) )
              & ( 10 = a(X118) )
              & ( 5 = a(X117) )
              & ( X119 != X120 )
              & ( X118 != X120 )
              & ( X118 != X119 )
              & ( X117 != X120 )
              & ( X117 != X119 )
              & ( X117 != X118 ) )
        & ! [X121: $int,X122: $int,X123: $int,X124: $int] :
            ~ ( $less(X122,X121)
              & ( 5 = b(X124) )
              & ( 2 = b(X123) )
              & $less(b(X122),3)
              & $less(b(X121),4)
              & ( 7 = a(X123) )
              & ( 10 = a(X122) )
              & ( 3 = a(X121) )
              & ( X123 != X124 )
              & ( X122 != X124 )
              & ( X122 != X123 )
              & ( X121 != X124 )
              & ( X121 != X123 )
              & ( X121 != X122 ) )
        & ! [X125: $int,X126: $int,X127: $int] :
            ~ ( $less(X126,X125)
              & ( 2 = b(X127) )
              & $less(b(X126),3)
              & ( 8 = a(X127) )
              & ( 10 = a(X126) )
              & ( 2 = a(X125) )
              & ( X126 != X127 )
              & ( X125 != X127 )
              & ( X125 != X126 ) )
        & ! [X128: $int,X129: $int,X130: $int] :
            ~ ( $less(X129,X128)
              & ( 2 = b(X129) )
              & ( 5 = b(X128) )
              & ( 5 = a(X130) )
              & ( 10 = a(X129) )
              & ( 5 = a(X128) )
              & ( X129 != X130 )
              & ( X128 != X130 )
              & ( X128 != X129 ) )
        & ! [X131: $int,X132: $int,X133: $int] :
            ~ ( $less(X132,X131)
              & ( 2 = b(X132) )
              & ( 5 = b(X131) )
              & ( 6 = a(X133) )
              & ( 10 = a(X132) )
              & ( 4 = a(X131) )
              & ( X132 != X133 )
              & ( X131 != X133 )
              & ( X131 != X132 ) )
        & ! [X134: $int,X135: $int,X136: $int,X137: $int] :
            ~ ( $less(X135,X134)
              & ( 5 = b(X137) )
              & $less(b(X136),4)
              & ( 2 = b(X135) )
              & $less(b(X134),4)
              & ( 7 = a(X136) )
              & ( 10 = a(X135) )
              & ( 3 = a(X134) )
              & ( X136 != X137 )
              & ( X135 != X137 )
              & ( X135 != X136 )
              & ( X134 != X137 )
              & ( X134 != X136 )
              & ( X134 != X135 ) )
        & ! [X138: $int,X139: $int,X140: $int] :
            ~ ( $less(X139,X138)
              & $less(b(X140),4)
              & ( 2 = b(X139) )
              & ( 8 = a(X140) )
              & ( 10 = a(X139) )
              & ( 2 = a(X138) )
              & ( X139 != X140 )
              & ( X138 != X140 )
              & ( X138 != X139 ) )
        & ! [X141: $int,X142: $int,X143: $int] :
            ~ ( $less(X142,X141)
              & ( 2 = b(X142) )
              & ( 5 = b(X141) )
              & ( 4 = a(X143) )
              & ( 10 = a(X142) )
              & ( 7 = a(X141) )
              & ( X142 != X143 )
              & ( X141 != X143 )
              & ( X141 != X142 ) )
        & ! [X144: $int,X145: $int,X146: $int,X147: $int] :
            ~ ( $less(X145,X144)
              & ( 2 = b(X147) )
              & $less(b(X145),3)
              & ( 5 = b(X144) )
              & ( 5 = a(X146) )
              & ( 10 = a(X145) )
              & ( 6 = a(X144) )
              & ( X146 != X147 )
              & ( X145 != X147 )
              & ( X145 != X146 )
              & ( X144 != X147 )
              & ( X144 != X146 )
              & ( X144 != X145 ) )
        & ! [X148: $int,X149: $int,X150: $int] :
            ~ ( $less(X149,X148)
              & ( 2 = b(X149) )
              & ( 5 = b(X148) )
              & ( 5 = a(X150) )
              & ( 10 = a(X149) )
              & ( 6 = a(X148) )
              & ( X149 != X150 )
              & ( X148 != X150 )
              & ( X148 != X149 ) )
        & ! [X151: $int,X152: $int,X153: $int,X154: $int] :
            ~ ( $less(X152,X151)
              & ( 2 = b(X154) )
              & $less(b(X152),3)
              & ( 5 = b(X151) )
              & ( 6 = a(X153) )
              & ( 10 = a(X152) )
              & ( 5 = a(X151) )
              & ( X153 != X154 )
              & ( X152 != X154 )
              & ( X152 != X153 )
              & ( X151 != X154 )
              & ( X151 != X153 )
              & ( X151 != X152 ) )
        & ! [X155: $int,X156: $int,X157: $int] :
            ~ ( $less(X156,X155)
              & ( 2 = b(X157) )
              & $less(b(X156),3)
              & ( 5 = b(X155) )
              & ( 6 = a(X157) )
              & ( 10 = a(X156) )
              & ( 5 = a(X155) )
              & ( X156 != X157 )
              & ( X155 != X157 )
              & ( X155 != X156 ) )
        & ! [X158: $int,X159: $int,X160: $int,X161: $int] :
            ~ ( $less(X159,X158)
              & ( 5 = b(X161) )
              & ( 2 = b(X160) )
              & $less(b(X159),3)
              & ( 7 = a(X160) )
              & ( 10 = a(X159) )
              & ( 4 = a(X158) )
              & ( X160 != X161 )
              & ( X159 != X161 )
              & ( X159 != X160 )
              & ( X158 != X161 )
              & ( X158 != X160 )
              & ( X158 != X159 ) )
        & ! [X162: $int,X163: $int,X164: $int] :
            ~ ( $less(X163,X162)
              & ( 2 = b(X164) )
              & $less(b(X163),3)
              & ( 5 = b(X162) )
              & ( 7 = a(X164) )
              & ( 10 = a(X163) )
              & ( 4 = a(X162) )
              & ( X163 != X164 )
              & ( X162 != X164 )
              & ( X162 != X163 ) )
        & ! [X165: $int,X166: $int,X167: $int] :
            ~ ( $less(X166,X165)
              & ( 2 = b(X167) )
              & $less(b(X166),3)
              & $less(b(X165),4)
              & ( 8 = a(X167) )
              & ( 10 = a(X166) )
              & ( 3 = a(X165) )
              & ( X166 != X167 )
              & ( X165 != X167 )
              & ( X165 != X166 ) )
        & ! [X168: $int,X169: $int,X170: $int] :
            ~ ( $less(X169,X168)
              & ( 2 = b(X169) )
              & ( 5 = b(X168) )
              & ( 6 = a(X170) )
              & ( 10 = a(X169) )
              & ( 5 = a(X168) )
              & ( X169 != X170 )
              & ( X168 != X170 )
              & ( X168 != X169 ) )
        & ! [X171: $int,X172: $int,X173: $int] :
            ~ ( $less(X172,X171)
              & ( 2 = b(X172) )
              & ( 5 = b(X171) )
              & ( 7 = a(X173) )
              & ( 10 = a(X172) )
              & ( 4 = a(X171) )
              & ( X172 != X173 )
              & ( X171 != X173 )
              & ( X171 != X172 ) )
        & ! [X174: $int,X175: $int,X176: $int] :
            ~ ( $less(X175,X174)
              & $less(b(X176),4)
              & ( 2 = b(X175) )
              & $less(b(X174),4)
              & ( 8 = a(X176) )
              & ( 10 = a(X175) )
              & ( 3 = a(X174) )
              & ( X175 != X176 )
              & ( X174 != X176 )
              & ( X174 != X175 ) )
        & ! [X177: $int,X178: $int,X179: $int,X180: $int] :
            ~ ( $less(X178,X177)
              & ( 2 = b(X180) )
              & $less(b(X178),3)
              & ( 5 = b(X177) )
              & ( 5 = a(X179) )
              & ( 10 = a(X178) )
              & ( 7 = a(X177) )
              & ( X179 != X180 )
              & ( X178 != X180 )
              & ( X178 != X179 )
              & ( X177 != X180 )
              & ( X177 != X179 )
              & ( X177 != X178 ) )
        & ! [X181: $int,X182: $int,X183: $int] :
            ~ ( $less(X182,X181)
              & ( 2 = b(X182) )
              & ( 5 = b(X181) )
              & ( 5 = a(X183) )
              & ( 10 = a(X182) )
              & ( 7 = a(X181) )
              & ( X182 != X183 )
              & ( X181 != X183 )
              & ( X181 != X182 ) )
        & ! [X184: $int,X185: $int,X186: $int] :
            ~ ( $less(X185,X184)
              & $less(b(X185),3)
              & ( 5 = b(X184) )
              & ( 6 = 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) )
              & ( 7 = 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) )
              & ( 7 = a(X193) )
              & ( 10 = a(X192) )
              & ( 5 = a(X191) )
              & ( X192 != X193 )
              & ( X191 != X193 )
              & ( X191 != X192 ) )
        & ! [X194: $int,X195: $int,X196: $int] :
            ~ ( $less(X195,X194)
              & ( 2 = b(X196) )
              & $less(b(X195),3)
              & ( 8 = a(X196) )
              & ( 10 = a(X195) )
              & ( 4 = a(X194) )
              & ( X195 != X196 )
              & ( X194 != X196 )
              & ( X194 != X195 ) )
        & ! [X197: $int,X198: $int,X199: $int] :
            ~ ( $less(X198,X197)
              & ( 2 = b(X198) )
              & ( 5 = b(X197) )
              & ( 7 = a(X199) )
              & ( 10 = a(X198) )
              & ( 5 = a(X197) )
              & ( X198 != X199 )
              & ( X197 != X199 )
              & ( X197 != X198 ) )
        & ! [X200: $int,X201: $int,X202: $int] :
            ~ ( $less(X201,X200)
              & ( 2 = b(X201) )
              & ( 8 = a(X202) )
              & ( 10 = a(X201) )
              & ( 4 = a(X200) )
              & ( X201 != X202 )
              & ( X200 != X202 )
              & ( X200 != X201 ) )
        & ! [X203: $int,X204: $int,X205: $int] :
            ~ ( $less(X204,X203)
              & $less(b(X204),3)
              & ( 5 = b(X203) )
              & ( 6 = a(X205) )
              & ( 10 = a(X204) )
              & ( 7 = a(X203) )
              & ( X204 != X205 )
              & ( X203 != X205 )
              & ( X203 != X204 ) )
        & ! [X206: $int,X207: $int,X208: $int] :
            ~ ( $less(X207,X206)
              & $less(b(X207),3)
              & ( 5 = b(X206) )
              & ( 7 = a(X208) )
              & ( 10 = a(X207) )
              & ( 6 = a(X206) )
              & ( X207 != X208 )
              & ( X206 != X208 )
              & ( X206 != X207 ) )
        & ! [X209: $int,X210: $int,X211: $int,X212: $int] :
            ~ ( $less(X210,X209)
              & ( 2 = b(X212) )
              & $less(b(X210),3)
              & ( 8 = a(X211) )
              & ( 10 = a(X210) )
              & ( 5 = a(X209) )
              & ( X211 != X212 )
              & ( X210 != X212 )
              & ( X210 != X211 )
              & ( X209 != X212 )
              & ( X209 != X211 )
              & ( X209 != X210 ) )
        & ! [X213: $int,X214: $int,X215: $int] :
            ~ ( $less(X214,X213)
              & ( 2 = b(X215) )
              & $less(b(X214),3)
              & ( 8 = a(X215) )
              & ( 10 = a(X214) )
              & ( 5 = a(X213) )
              & ( X214 != X215 )
              & ( X213 != X215 )
              & ( X213 != X214 ) )
        & ! [X216: $int,X217: $int,X218: $int] :
            ~ ( $less(X217,X216)
              & ( 2 = b(X217) )
              & ( 8 = a(X218) )
              & ( 10 = a(X217) )
              & ( 5 = a(X216) )
              & ( X217 != X218 )
              & ( X216 != X218 )
              & ( X216 != X217 ) )
        & ! [X219: $int,X220: $int,X221: $int] :
            ~ ( $less(X220,X219)
              & ( 5 = b(X221) )
              & ( 2 = b(X220) )
              & ( 10 = a(X220) )
              & ( 4 = a(X219) )
              & ( X220 != X221 )
              & ( X219 != X221 )
              & ( X219 != X220 ) )
        & ! [X222: $int,X223: $int,X224: $int] :
            ~ ( $less(X223,X222)
              & $less(b(X223),3)
              & ( 5 = b(X222) )
              & ( 7 = a(X224) )
              & ( 10 = a(X223) )
              & ( 7 = a(X222) )
              & ( X223 != X224 )
              & ( X222 != X224 )
              & ( X222 != X223 ) )
        & ! [X225: $int,X226: $int,X227: $int] :
            ~ ( $less(X226,X225)
              & $less(b(X226),3)
              & ( 8 = a(X227) )
              & ( 10 = a(X226) )
              & ( 6 = a(X225) )
              & ( X226 != X227 )
              & ( X225 != X227 )
              & ( X225 != X226 ) )
        & ! [X228: $int,X229: $int,X230: $int,X231: $int] :
            ~ ( $less(X229,X228)
              & ( 2 = b(X231) )
              & ( 5 = b(X230) )
              & $less(b(X229),3)
              & ( 10 = a(X229) )
              & ( 5 = a(X228) )
              & ( X230 != X231 )
              & ( X229 != X231 )
              & ( X229 != X230 )
              & ( X228 != X231 )
              & ( X228 != X230 )
              & ( X228 != X229 ) )
        & ! [X232: $int,X233: $int,X234: $int] :
            ~ ( $less(X233,X232)
              & ( 5 = b(X234) )
              & ( 2 = b(X233) )
              & ( 10 = a(X233) )
              & ( 5 = a(X232) )
              & ( X233 != X234 )
              & ( X232 != X234 )
              & ( X232 != X233 ) )
        & ! [X235: $int,X236: $int,X237: $int] :
            ~ ( $less(X236,X235)
              & $less(b(X236),3)
              & ( 8 = a(X237) )
              & ( 10 = a(X236) )
              & ( 7 = a(X235) )
              & ( X236 != X237 )
              & ( X235 != X237 )
              & ( X235 != X236 ) )
        & ! [X238: $int,X239: $int,X240: $int] :
            ~ ( $less(X239,X238)
              & ( 5 = b(X240) )
              & $less(b(X239),3)
              & ( 10 = a(X239) )
              & ( 6 = a(X238) )
              & ( X239 != X240 )
              & ( X238 != X240 )
              & ( X238 != X239 ) )
        & ! [X241: $int,X242: $int,X243: $int] :
            ~ ( $less(X242,X241)
              & ( 5 = b(X243) )
              & $less(b(X242),3)
              & ( 10 = a(X242) )
              & ( 7 = a(X241) )
              & ( X242 != X243 )
              & ( X241 != X243 )
              & ( X241 != X242 ) )
        & ! [X244: $int,X245: $int] :
            ~ ( $less(X245,X244)
              & $less(b(X245),3)
              & ( 10 = a(X245) )
              & ( 8 = a(X244) )
              & ( X244 != X245 ) )
        & ! [X246: $int,X247: $int] :
            ~ ( $less(X247,X246)
              & $less(b(X247),3)
              & ( 10 = a(X247) )
              & ( 9 = a(X246) )
              & ( X246 != X247 ) )
        & ! [X248: $int,X249: $int] :
            ~ ( ( 10 = a(X249) )
              & ( 10 = a(X248) )
              & ( X248 != X249 ) )
        & ( z4 != z5 )
        & ( z3 != z5 )
        & ( z3 != z4 )
        & ( z2 != z5 )
        & ( z2 != z4 )
        & ( z2 != z3 )
        & ( z1 != z5 )
        & ( z1 != z4 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & ! [X250: $int] :
            ( ~ $less(5,b(X250))
            & ~ $less(b(X250),1) )
        & ! [X251: $int] :
            ( ~ $less(12,a(X251))
            & ~ $less(a(X251),1) ) )
     => ~ ( $less(z2,z1)
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 2 = b(z1) )
          & ( 2 = a(z4) )
          & ( 5 = 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)
              & ( 2 = 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)
              & ( 5 = b(X6) )
              & $less(b(X5),3)
              & ( 1 = a(X7) )
              & ( 10 = a(X5) )
              & ( 5 = a(X4) )
              & ( X6 != X7 )
              & ( X5 != X7 )
              & ( X5 != X6 )
              & ( X4 != X7 )
              & ( X4 != X6 )
              & ( X4 != X5 ) )
        & ! [X8: $int,X9: $int,X10: $int,X11: $int] :
            ~ ( $less(X9,X8)
              & ( 2 = b(X11) )
              & $less(b(X9),3)
              & ( 8 = a(X10) )
              & ( 10 = a(X9) )
              & ( 4 = 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)
              & $less(b(X13),3)
              & ( 2 = a(X15) )
              & ( 8 = 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)
              & ( 2 = b(X19) )
              & ( 5 = b(X18) )
              & $less(b(X17),3)
              & ( 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)
              & ( 5 = b(X22) )
              & $less(b(X21),3)
              & ( 2 = a(X23) )
              & ( 10 = a(X21) )
              & ( 5 = a(X20) )
              & ( X22 != X23 )
              & ( X21 != X23 )
              & ( X21 != X22 )
              & ( X20 != X23 )
              & ( X20 != X22 )
              & ( X20 != X21 ) )
        & ! [X24: $int,X25: $int,X26: $int] :
            ~ ( $less(X25,X24)
              & ( 2 = b(X25) )
              & ( 5 = b(X24) )
              & ( 4 = a(X26) )
              & ( 10 = a(X25) )
              & ( 12 = a(X24) )
              & ( X25 != X26 )
              & ( X24 != X26 )
              & ( X24 != X25 ) )
        & ! [X27: $int,X28: $int,X29: $int] :
            ~ ( $less(X28,X27)
              & ( 2 = b(X28) )
              & ( 5 = b(X27) )
              & ( 5 = a(X29) )
              & ( 10 = a(X28) )
              & ( 12 = a(X27) )
              & ( X28 != X29 )
              & ( X27 != X29 )
              & ( X27 != X28 ) )
        & ! [X30: $int,X31: $int,X32: $int] :
            ~ ( $less(X31,X30)
              & ( 2 = b(X31) )
              & ( 5 = b(X30) )
              & ( 4 = a(X32) )
              & ( 10 = a(X31) )
              & ( 1 = a(X30) )
              & ( X31 != X32 )
              & ( X30 != X32 )
              & ( X30 != X31 ) )
        & ! [X33: $int,X34: $int,X35: $int] :
            ~ ( $less(X34,X33)
              & ( 2 = b(X34) )
              & ( 5 = b(X33) )
              & ( 4 = a(X35) )
              & ( 10 = a(X34) )
              & ( 2 = a(X33) )
              & ( X34 != X35 )
              & ( X33 != X35 )
              & ( X33 != X34 ) )
        & ! [X36: $int,X37: $int,X38: $int] :
            ~ ( $less(X37,X36)
              & ( 2 = b(X37) )
              & ( 5 = b(X36) )
              & ( 6 = a(X38) )
              & ( 10 = a(X37) )
              & ( 12 = a(X36) )
              & ( X37 != X38 )
              & ( X36 != X38 )
              & ( X36 != X37 ) )
        & ! [X39: $int,X40: $int,X41: $int] :
            ~ ( $less(X40,X39)
              & ( 2 = b(X40) )
              & ( 5 = b(X39) )
              & ( 5 = a(X41) )
              & ( 10 = a(X40) )
              & ( 1 = a(X39) )
              & ( X40 != X41 )
              & ( X39 != X41 )
              & ( X39 != X40 ) )
        & ! [X42: $int,X43: $int,X44: $int,X45: $int] :
            ~ ( $less(X43,X42)
              & ( 5 = b(X45) )
              & ( 2 = b(X44) )
              & $less(b(X43),3)
              & ( 7 = a(X44) )
              & ( 10 = a(X43) )
              & ( 12 = a(X42) )
              & ( X44 != X45 )
              & ( X43 != X45 )
              & ( X43 != X44 )
              & ( X42 != X45 )
              & ( X42 != X44 )
              & ( X42 != X43 ) )
        & ! [X46: $int,X47: $int,X48: $int] :
            ~ ( $less(X47,X46)
              & ( 2 = b(X48) )
              & $less(b(X47),3)
              & ( 5 = b(X46) )
              & ( 7 = a(X48) )
              & ( 10 = a(X47) )
              & ( 12 = a(X46) )
              & ( X47 != X48 )
              & ( X46 != X48 )
              & ( X46 != X47 ) )
        & ! [X49: $int,X50: $int,X51: $int] :
            ~ ( $less(X50,X49)
              & ( 2 = b(X50) )
              & ( 5 = b(X49) )
              & ( 5 = a(X51) )
              & ( 10 = a(X50) )
              & ( 2 = a(X49) )
              & ( X50 != X51 )
              & ( X49 != X51 )
              & ( X49 != X50 ) )
        & ! [X52: $int,X53: $int,X54: $int,X55: $int] :
            ~ ( $less(X53,X52)
              & ( 5 = b(X55) )
              & $less(b(X54),4)
              & ( 2 = b(X53) )
              & ( 7 = a(X54) )
              & ( 10 = a(X53) )
              & ( 12 = a(X52) )
              & ( X54 != X55 )
              & ( X53 != X55 )
              & ( X53 != X54 )
              & ( X52 != X55 )
              & ( X52 != X54 )
              & ( X52 != X53 ) )
        & ! [X56: $int,X57: $int,X58: $int] :
            ~ ( $less(X57,X56)
              & $less(b(X58),4)
              & ( 2 = b(X57) )
              & ( 5 = b(X56) )
              & ( 7 = a(X58) )
              & ( 10 = a(X57) )
              & ( 12 = a(X56) )
              & ( X57 != X58 )
              & ( X56 != X58 )
              & ( X56 != X57 ) )
        & ! [X59: $int,X60: $int,X61: $int] :
            ~ ( $less(X60,X59)
              & ( 2 = b(X60) )
              & ( 5 = b(X59) )
              & ( 6 = a(X61) )
              & ( 10 = a(X60) )
              & ( 1 = a(X59) )
              & ( X60 != X61 )
              & ( X59 != X61 )
              & ( X59 != X60 ) )
        & ! [X62: $int,X63: $int,X64: $int] :
            ~ ( $less(X63,X62)
              & ( 2 = b(X64) )
              & $less(b(X63),3)
              & ( 8 = a(X64) )
              & ( 10 = a(X63) )
              & ( 12 = a(X62) )
              & ( X63 != X64 )
              & ( X62 != X64 )
              & ( X62 != X63 ) )
        & ! [X65: $int,X66: $int,X67: $int,X68: $int] :
            ~ ( $less(X66,X65)
              & ( 5 = b(X68) )
              & ( 2 = b(X67) )
              & $less(b(X66),3)
              & ( 7 = a(X67) )
              & ( 10 = a(X66) )
              & ( 1 = a(X65) )
              & ( X67 != X68 )
              & ( X66 != X68 )
              & ( X66 != X67 )
              & ( X65 != X68 )
              & ( X65 != X67 )
              & ( X65 != X66 ) )
        & ! [X69: $int,X70: $int,X71: $int] :
            ~ ( $less(X70,X69)
              & ( 2 = b(X71) )
              & $less(b(X70),3)
              & ( 5 = b(X69) )
              & ( 7 = a(X71) )
              & ( 10 = a(X70) )
              & ( 1 = a(X69) )
              & ( X70 != X71 )
              & ( X69 != X71 )
              & ( X69 != X70 ) )
        & ! [X72: $int,X73: $int,X74: $int] :
            ~ ( $less(X73,X72)
              & ( 2 = b(X73) )
              & ( 5 = b(X72) )
              & ( 4 = a(X74) )
              & ( 10 = a(X73) )
              & ( 4 = a(X72) )
              & ( X73 != X74 )
              & ( X72 != X74 )
              & ( X72 != X73 ) )
        & ! [X75: $int,X76: $int,X77: $int] :
            ~ ( $less(X76,X75)
              & ( 2 = b(X76) )
              & ( 5 = b(X75) )
              & ( 6 = a(X77) )
              & ( 10 = a(X76) )
              & ( 2 = a(X75) )
              & ( X76 != X77 )
              & ( X75 != X77 )
              & ( X75 != X76 ) )
        & ! [X78: $int,X79: $int,X80: $int] :
            ~ ( $less(X79,X78)
              & $less(b(X80),4)
              & ( 2 = b(X79) )
              & ( 8 = a(X80) )
              & ( 10 = a(X79) )
              & ( 12 = a(X78) )
              & ( X79 != X80 )
              & ( X78 != X80 )
              & ( X78 != X79 ) )
        & ! [X81: $int,X82: $int,X83: $int,X84: $int] :
            ~ ( $less(X82,X81)
              & ( 5 = b(X84) )
              & $less(b(X83),4)
              & ( 2 = b(X82) )
              & ( 7 = a(X83) )
              & ( 10 = a(X82) )
              & ( 1 = a(X81) )
              & ( X83 != X84 )
              & ( X82 != X84 )
              & ( X82 != X83 )
              & ( X81 != X84 )
              & ( X81 != X83 )
              & ( X81 != X82 ) )
        & ! [X85: $int,X86: $int,X87: $int] :
            ~ ( $less(X86,X85)
              & $less(b(X87),4)
              & ( 2 = b(X86) )
              & ( 5 = b(X85) )
              & ( 7 = a(X87) )
              & ( 10 = a(X86) )
              & ( 1 = a(X85) )
              & ( X86 != X87 )
              & ( X85 != X87 )
              & ( X85 != X86 ) )
        & ! [X88: $int,X89: $int,X90: $int,X91: $int] :
            ~ ( $less(X89,X88)
              & ( 5 = b(X91) )
              & ( 2 = b(X90) )
              & $less(b(X89),3)
              & ( 7 = a(X90) )
              & ( 10 = a(X89) )
              & ( 2 = a(X88) )
              & ( X90 != X91 )
              & ( X89 != X91 )
              & ( X89 != X90 )
              & ( X88 != X91 )
              & ( X88 != X90 )
              & ( X88 != X89 ) )
        & ! [X92: $int,X93: $int,X94: $int] :
            ~ ( $less(X93,X92)
              & ( 2 = b(X94) )
              & $less(b(X93),3)
              & ( 5 = b(X92) )
              & ( 7 = a(X94) )
              & ( 10 = a(X93) )
              & ( 2 = a(X92) )
              & ( X93 != X94 )
              & ( X92 != X94 )
              & ( X92 != X93 ) )
        & ! [X95: $int,X96: $int,X97: $int] :
            ~ ( $less(X96,X95)
              & ( 2 = b(X97) )
              & $less(b(X96),3)
              & ( 8 = 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(X99) )
              & ( 5 = b(X98) )
              & ( 4 = a(X100) )
              & ( 10 = a(X99) )
              & ( 5 = a(X98) )
              & ( X99 != X100 )
              & ( X98 != X100 )
              & ( X98 != X99 ) )
        & ! [X101: $int,X102: $int,X103: $int] :
            ~ ( $less(X102,X101)
              & ( 2 = b(X102) )
              & ( 5 = b(X101) )
              & ( 5 = a(X103) )
              & ( 10 = a(X102) )
              & ( 4 = a(X101) )
              & ( X102 != X103 )
              & ( X101 != X103 )
              & ( X101 != X102 ) )
        & ! [X104: $int,X105: $int,X106: $int,X107: $int] :
            ~ ( $less(X105,X104)
              & ( 5 = b(X107) )
              & $less(b(X106),4)
              & ( 2 = b(X105) )
              & ( 7 = a(X106) )
              & ( 10 = a(X105) )
              & ( 2 = a(X104) )
              & ( X106 != X107 )
              & ( X105 != X107 )
              & ( X105 != X106 )
              & ( X104 != X107 )
              & ( X104 != X106 )
              & ( X104 != X105 ) )
        & ! [X108: $int,X109: $int,X110: $int] :
            ~ ( $less(X109,X108)
              & $less(b(X110),4)
              & ( 2 = b(X109) )
              & ( 5 = b(X108) )
              & ( 7 = a(X110) )
              & ( 10 = a(X109) )
              & ( 2 = a(X108) )
              & ( X109 != X110 )
              & ( X108 != X110 )
              & ( X108 != X109 ) )
        & ! [X111: $int,X112: $int,X113: $int] :
            ~ ( $less(X112,X111)
              & $less(b(X113),4)
              & ( 2 = b(X112) )
              & ( 8 = a(X113) )
              & ( 10 = a(X112) )
              & ( 1 = a(X111) )
              & ( X112 != X113 )
              & ( X111 != X113 )
              & ( X111 != X112 ) )
        & ! [X114: $int,X115: $int,X116: $int] :
            ~ ( $less(X115,X114)
              & ( 2 = b(X115) )
              & ( 5 = b(X114) )
              & ( 4 = a(X116) )
              & ( 10 = a(X115) )
              & ( 6 = a(X114) )
              & ( X115 != X116 )
              & ( X114 != X116 )
              & ( X114 != X115 ) )
        & ! [X117: $int,X118: $int,X119: $int,X120: $int] :
            ~ ( $less(X118,X117)
              & ( 2 = b(X120) )
              & ( 2 = b(X119) )
              & $less(b(X118),3)
              & ( 5 = b(X117) )
              & ( 5 = a(X119) )
              & ( 10 = a(X118) )
              & ( 5 = a(X117) )
              & ( X119 != X120 )
              & ( X118 != X120 )
              & ( X118 != X119 )
              & ( X117 != X120 )
              & ( X117 != X119 )
              & ( X117 != X118 ) )
        & ! [X121: $int,X122: $int,X123: $int,X124: $int] :
            ~ ( $less(X122,X121)
              & ( 5 = b(X124) )
              & ( 2 = b(X123) )
              & $less(b(X122),3)
              & $less(b(X121),4)
              & ( 7 = a(X123) )
              & ( 10 = a(X122) )
              & ( 3 = a(X121) )
              & ( X123 != X124 )
              & ( X122 != X124 )
              & ( X122 != X123 )
              & ( X121 != X124 )
              & ( X121 != X123 )
              & ( X121 != X122 ) )
        & ! [X125: $int,X126: $int,X127: $int] :
            ~ ( $less(X126,X125)
              & ( 2 = b(X127) )
              & $less(b(X126),3)
              & ( 8 = a(X127) )
              & ( 10 = a(X126) )
              & ( 2 = a(X125) )
              & ( X126 != X127 )
              & ( X125 != X127 )
              & ( X125 != X126 ) )
        & ! [X128: $int,X129: $int,X130: $int] :
            ~ ( $less(X129,X128)
              & ( 2 = b(X129) )
              & ( 5 = b(X128) )
              & ( 5 = a(X130) )
              & ( 10 = a(X129) )
              & ( 5 = a(X128) )
              & ( X129 != X130 )
              & ( X128 != X130 )
              & ( X128 != X129 ) )
        & ! [X131: $int,X132: $int,X133: $int] :
            ~ ( $less(X132,X131)
              & ( 2 = b(X132) )
              & ( 5 = b(X131) )
              & ( 6 = a(X133) )
              & ( 10 = a(X132) )
              & ( 4 = a(X131) )
              & ( X132 != X133 )
              & ( X131 != X133 )
              & ( X131 != X132 ) )
        & ! [X134: $int,X135: $int,X136: $int,X137: $int] :
            ~ ( $less(X135,X134)
              & ( 5 = b(X137) )
              & $less(b(X136),4)
              & ( 2 = b(X135) )
              & $less(b(X134),4)
              & ( 7 = a(X136) )
              & ( 10 = a(X135) )
              & ( 3 = a(X134) )
              & ( X136 != X137 )
              & ( X135 != X137 )
              & ( X135 != X136 )
              & ( X134 != X137 )
              & ( X134 != X136 )
              & ( X134 != X135 ) )
        & ! [X138: $int,X139: $int,X140: $int] :
            ~ ( $less(X139,X138)
              & $less(b(X140),4)
              & ( 2 = b(X139) )
              & ( 8 = a(X140) )
              & ( 10 = a(X139) )
              & ( 2 = a(X138) )
              & ( X139 != X140 )
              & ( X138 != X140 )
              & ( X138 != X139 ) )
        & ! [X141: $int,X142: $int,X143: $int] :
            ~ ( $less(X142,X141)
              & ( 2 = b(X142) )
              & ( 5 = b(X141) )
              & ( 4 = a(X143) )
              & ( 10 = a(X142) )
              & ( 7 = a(X141) )
              & ( X142 != X143 )
              & ( X141 != X143 )
              & ( X141 != X142 ) )
        & ! [X144: $int,X145: $int,X146: $int,X147: $int] :
            ~ ( $less(X145,X144)
              & ( 2 = b(X147) )
              & $less(b(X145),3)
              & ( 5 = b(X144) )
              & ( 5 = a(X146) )
              & ( 10 = a(X145) )
              & ( 6 = a(X144) )
              & ( X146 != X147 )
              & ( X145 != X147 )
              & ( X145 != X146 )
              & ( X144 != X147 )
              & ( X144 != X146 )
              & ( X144 != X145 ) )
        & ! [X148: $int,X149: $int,X150: $int] :
            ~ ( $less(X149,X148)
              & ( 2 = b(X149) )
              & ( 5 = b(X148) )
              & ( 5 = a(X150) )
              & ( 10 = a(X149) )
              & ( 6 = a(X148) )
              & ( X149 != X150 )
              & ( X148 != X150 )
              & ( X148 != X149 ) )
        & ! [X151: $int,X152: $int,X153: $int,X154: $int] :
            ~ ( $less(X152,X151)
              & ( 2 = b(X154) )
              & $less(b(X152),3)
              & ( 5 = b(X151) )
              & ( 6 = a(X153) )
              & ( 10 = a(X152) )
              & ( 5 = a(X151) )
              & ( X153 != X154 )
              & ( X152 != X154 )
              & ( X152 != X153 )
              & ( X151 != X154 )
              & ( X151 != X153 )
              & ( X151 != X152 ) )
        & ! [X155: $int,X156: $int,X157: $int] :
            ~ ( $less(X156,X155)
              & ( 2 = b(X157) )
              & $less(b(X156),3)
              & ( 5 = b(X155) )
              & ( 6 = a(X157) )
              & ( 10 = a(X156) )
              & ( 5 = a(X155) )
              & ( X156 != X157 )
              & ( X155 != X157 )
              & ( X155 != X156 ) )
        & ! [X158: $int,X159: $int,X160: $int,X161: $int] :
            ~ ( $less(X159,X158)
              & ( 5 = b(X161) )
              & ( 2 = b(X160) )
              & $less(b(X159),3)
              & ( 7 = a(X160) )
              & ( 10 = a(X159) )
              & ( 4 = a(X158) )
              & ( X160 != X161 )
              & ( X159 != X161 )
              & ( X159 != X160 )
              & ( X158 != X161 )
              & ( X158 != X160 )
              & ( X158 != X159 ) )
        & ! [X162: $int,X163: $int,X164: $int] :
            ~ ( $less(X163,X162)
              & ( 2 = b(X164) )
              & $less(b(X163),3)
              & ( 5 = b(X162) )
              & ( 7 = a(X164) )
              & ( 10 = a(X163) )
              & ( 4 = a(X162) )
              & ( X163 != X164 )
              & ( X162 != X164 )
              & ( X162 != X163 ) )
        & ! [X165: $int,X166: $int,X167: $int] :
            ~ ( $less(X166,X165)
              & ( 2 = b(X167) )
              & $less(b(X166),3)
              & $less(b(X165),4)
              & ( 8 = a(X167) )
              & ( 10 = a(X166) )
              & ( 3 = a(X165) )
              & ( X166 != X167 )
              & ( X165 != X167 )
              & ( X165 != X166 ) )
        & ! [X168: $int,X169: $int,X170: $int] :
            ~ ( $less(X169,X168)
              & ( 2 = b(X169) )
              & ( 5 = b(X168) )
              & ( 6 = a(X170) )
              & ( 10 = a(X169) )
              & ( 5 = a(X168) )
              & ( X169 != X170 )
              & ( X168 != X170 )
              & ( X168 != X169 ) )
        & ! [X171: $int,X172: $int,X173: $int] :
            ~ ( $less(X172,X171)
              & ( 2 = b(X172) )
              & ( 5 = b(X171) )
              & ( 7 = a(X173) )
              & ( 10 = a(X172) )
              & ( 4 = a(X171) )
              & ( X172 != X173 )
              & ( X171 != X173 )
              & ( X171 != X172 ) )
        & ! [X174: $int,X175: $int,X176: $int] :
            ~ ( $less(X175,X174)
              & $less(b(X176),4)
              & ( 2 = b(X175) )
              & $less(b(X174),4)
              & ( 8 = a(X176) )
              & ( 10 = a(X175) )
              & ( 3 = a(X174) )
              & ( X175 != X176 )
              & ( X174 != X176 )
              & ( X174 != X175 ) )
        & ! [X177: $int,X178: $int,X179: $int,X180: $int] :
            ~ ( $less(X178,X177)
              & ( 2 = b(X180) )
              & $less(b(X178),3)
              & ( 5 = b(X177) )
              & ( 5 = a(X179) )
              & ( 10 = a(X178) )
              & ( 7 = a(X177) )
              & ( X179 != X180 )
              & ( X178 != X180 )
              & ( X178 != X179 )
              & ( X177 != X180 )
              & ( X177 != X179 )
              & ( X177 != X178 ) )
        & ! [X181: $int,X182: $int,X183: $int] :
            ~ ( $less(X182,X181)
              & ( 2 = b(X182) )
              & ( 5 = b(X181) )
              & ( 5 = a(X183) )
              & ( 10 = a(X182) )
              & ( 7 = a(X181) )
              & ( X182 != X183 )
              & ( X181 != X183 )
              & ( X181 != X182 ) )
        & ! [X184: $int,X185: $int,X186: $int] :
            ~ ( $less(X185,X184)
              & $less(b(X185),3)
              & ( 5 = b(X184) )
              & ( 6 = 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) )
              & ( 7 = 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) )
              & ( 7 = a(X193) )
              & ( 10 = a(X192) )
              & ( 5 = a(X191) )
              & ( X192 != X193 )
              & ( X191 != X193 )
              & ( X191 != X192 ) )
        & ! [X194: $int,X195: $int,X196: $int] :
            ~ ( $less(X195,X194)
              & ( 2 = b(X196) )
              & $less(b(X195),3)
              & ( 8 = a(X196) )
              & ( 10 = a(X195) )
              & ( 4 = a(X194) )
              & ( X195 != X196 )
              & ( X194 != X196 )
              & ( X194 != X195 ) )
        & ! [X197: $int,X198: $int,X199: $int] :
            ~ ( $less(X198,X197)
              & ( 2 = b(X198) )
              & ( 5 = b(X197) )
              & ( 7 = a(X199) )
              & ( 10 = a(X198) )
              & ( 5 = a(X197) )
              & ( X198 != X199 )
              & ( X197 != X199 )
              & ( X197 != X198 ) )
        & ! [X200: $int,X201: $int,X202: $int] :
            ~ ( $less(X201,X200)
              & ( 2 = b(X201) )
              & ( 8 = a(X202) )
              & ( 10 = a(X201) )
              & ( 4 = a(X200) )
              & ( X201 != X202 )
              & ( X200 != X202 )
              & ( X200 != X201 ) )
        & ! [X203: $int,X204: $int,X205: $int] :
            ~ ( $less(X204,X203)
              & $less(b(X204),3)
              & ( 5 = b(X203) )
              & ( 6 = a(X205) )
              & ( 10 = a(X204) )
              & ( 7 = a(X203) )
              & ( X204 != X205 )
              & ( X203 != X205 )
              & ( X203 != X204 ) )
        & ! [X206: $int,X207: $int,X208: $int] :
            ~ ( $less(X207,X206)
              & $less(b(X207),3)
              & ( 5 = b(X206) )
              & ( 7 = a(X208) )
              & ( 10 = a(X207) )
              & ( 6 = a(X206) )
              & ( X207 != X208 )
              & ( X206 != X208 )
              & ( X206 != X207 ) )
        & ! [X209: $int,X210: $int,X211: $int,X212: $int] :
            ~ ( $less(X210,X209)
              & ( 2 = b(X212) )
              & $less(b(X210),3)
              & ( 8 = a(X211) )
              & ( 10 = a(X210) )
              & ( 5 = a(X209) )
              & ( X211 != X212 )
              & ( X210 != X212 )
              & ( X210 != X211 )
              & ( X209 != X212 )
              & ( X209 != X211 )
              & ( X209 != X210 ) )
        & ! [X213: $int,X214: $int,X215: $int] :
            ~ ( $less(X214,X213)
              & ( 2 = b(X215) )
              & $less(b(X214),3)
              & ( 8 = a(X215) )
              & ( 10 = a(X214) )
              & ( 5 = a(X213) )
              & ( X214 != X215 )
              & ( X213 != X215 )
              & ( X213 != X214 ) )
        & ! [X216: $int,X217: $int,X218: $int] :
            ~ ( $less(X217,X216)
              & ( 2 = b(X217) )
              & ( 8 = a(X218) )
              & ( 10 = a(X217) )
              & ( 5 = a(X216) )
              & ( X217 != X218 )
              & ( X216 != X218 )
              & ( X216 != X217 ) )
        & ! [X219: $int,X220: $int,X221: $int] :
            ~ ( $less(X220,X219)
              & ( 5 = b(X221) )
              & ( 2 = b(X220) )
              & ( 10 = a(X220) )
              & ( 4 = a(X219) )
              & ( X220 != X221 )
              & ( X219 != X221 )
              & ( X219 != X220 ) )
        & ! [X222: $int,X223: $int,X224: $int] :
            ~ ( $less(X223,X222)
              & $less(b(X223),3)
              & ( 5 = b(X222) )
              & ( 7 = a(X224) )
              & ( 10 = a(X223) )
              & ( 7 = a(X222) )
              & ( X223 != X224 )
              & ( X222 != X224 )
              & ( X222 != X223 ) )
        & ! [X225: $int,X226: $int,X227: $int] :
            ~ ( $less(X226,X225)
              & $less(b(X226),3)
              & ( 8 = a(X227) )
              & ( 10 = a(X226) )
              & ( 6 = a(X225) )
              & ( X226 != X227 )
              & ( X225 != X227 )
              & ( X225 != X226 ) )
        & ! [X228: $int,X229: $int,X230: $int,X231: $int] :
            ~ ( $less(X229,X228)
              & ( 2 = b(X231) )
              & ( 5 = b(X230) )
              & $less(b(X229),3)
              & ( 10 = a(X229) )
              & ( 5 = a(X228) )
              & ( X230 != X231 )
              & ( X229 != X231 )
              & ( X229 != X230 )
              & ( X228 != X231 )
              & ( X228 != X230 )
              & ( X228 != X229 ) )
        & ! [X232: $int,X233: $int,X234: $int] :
            ~ ( $less(X233,X232)
              & ( 5 = b(X234) )
              & ( 2 = b(X233) )
              & ( 10 = a(X233) )
              & ( 5 = a(X232) )
              & ( X233 != X234 )
              & ( X232 != X234 )
              & ( X232 != X233 ) )
        & ! [X235: $int,X236: $int,X237: $int] :
            ~ ( $less(X236,X235)
              & $less(b(X236),3)
              & ( 8 = a(X237) )
              & ( 10 = a(X236) )
              & ( 7 = a(X235) )
              & ( X236 != X237 )
              & ( X235 != X237 )
              & ( X235 != X236 ) )
        & ! [X238: $int,X239: $int,X240: $int] :
            ~ ( $less(X239,X238)
              & ( 5 = b(X240) )
              & $less(b(X239),3)
              & ( 10 = a(X239) )
              & ( 6 = a(X238) )
              & ( X239 != X240 )
              & ( X238 != X240 )
              & ( X238 != X239 ) )
        & ! [X241: $int,X242: $int,X243: $int] :
            ~ ( $less(X242,X241)
              & ( 5 = b(X243) )
              & $less(b(X242),3)
              & ( 10 = a(X242) )
              & ( 7 = a(X241) )
              & ( X242 != X243 )
              & ( X241 != X243 )
              & ( X241 != X242 ) )
        & ! [X244: $int,X245: $int] :
            ~ ( $less(X245,X244)
              & $less(b(X245),3)
              & ( 10 = a(X245) )
              & ( 8 = a(X244) )
              & ( X244 != X245 ) )
        & ! [X246: $int,X247: $int] :
            ~ ( $less(X247,X246)
              & $less(b(X247),3)
              & ( 10 = a(X247) )
              & ( 9 = a(X246) )
              & ( X246 != X247 ) )
        & ! [X248: $int,X249: $int] :
            ~ ( ( 10 = a(X249) )
              & ( 10 = a(X248) )
              & ( X248 != X249 ) )
        & ( z4 != z5 )
        & ( z3 != z5 )
        & ( z3 != z4 )
        & ( z2 != z5 )
        & ( z2 != z4 )
        & ( z2 != z3 )
        & ( z1 != z5 )
        & ( z1 != z4 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & $true
        & ! [X250: $int] :
            ( ~ $less(5,b(X250))
            & ~ $less(b(X250),1) )
        & ! [X251: $int] :
            ( ~ $less(12,a(X251))
            & ~ $less(a(X251),1) ) )
     => ~ ( $less(z2,z1)
          & ( 5 = b(z3) )
          & $less(b(z2),3)
          & ( 2 = b(z1) )
          & ( 2 = a(z4) )
          & ( 5 = 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)
              & ( 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(z3) )
          & $less(b(z2),3)
          & ( 2 = b(z1) )
          & ( 2 = a(z4) )
          & ( 5 = 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)
              & ( 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(z3) )
          & $less(b(z2),3)
          & ( 2 = b(z1) )
          & ( 2 = a(z4) )
          & ( 5 = 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)
            & ( 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(z3) )
        & $less(b(z2),3)
        & ( 2 = b(z1) )
        & ( 2 = a(z4) )
        & ( 5 = a(z3) )
        & ( 10 = a(z2) )
        & ( 5 = a(z1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f116,plain,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f19]) ).

tff(f112,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f19]) ).

tff(f114,plain,
    2 = a(z4),
    inference(cnf_transformation,[],[f19]) ).

tff(f117,plain,
    5 = b(z3),
    inference(cnf_transformation,[],[f19]) ).

tff(f111,plain,
    5 = a(z1),
    inference(cnf_transformation,[],[f19]) ).

tff(f118,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
% 0.07/0.12  % Problem    : SWW000_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 08:10:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a TF0_THM_EQU_ARI problem
% 0.12/0.36  Running first-order model finding
% 0.12/0.36  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (1948)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.43  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (1949)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 (3000ds/152523Mi)
% 0.22/0.43  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (1951)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 (3000ds/146Mi)
% 0.22/0.43  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (1947)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 (3000ds/99418Mi)
% 0.22/0.43  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (1952)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 (3000ds/115Mi)
% 0.22/0.43  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (1946)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.43  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (1950)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.43  % (1948)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43  % (1948)Terminated due to inappropriate strategy.
% 0.22/0.43  % (1948)------------------------------
% 0.22/0.43  % (1948)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (1948)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (1948)Termination reason: Inappropriate
% 0.22/0.43  
% 0.22/0.43  % (1948)Memory used [KB]: 1097
% 0.22/0.43  % (1948)Time elapsed: 0.008 s
% 0.22/0.43  % (1948)Instructions burned: 12 (million)
% 0.22/0.43  % (1949)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43  % (1948)------------------------------
% 0.22/0.43  % (1948)------------------------------
% 0.22/0.43  % (1949)Terminated due to inappropriate strategy.
% 0.22/0.43  % (1949)------------------------------
% 0.22/0.43  % (1949)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (1949)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (1949)Termination reason: Inappropriate
% 0.22/0.43  
% 0.22/0.43  % (1949)Memory used [KB]: 1200
% 0.22/0.43  % (1949)Time elapsed: 0.008 s
% 0.22/0.43  % (1949)Instructions burned: 13 (million)
% 0.22/0.43  % (1949)------------------------------
% 0.22/0.43  % (1949)------------------------------
% 0.22/0.43  % (1946)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43  % (1946)Terminated due to inappropriate strategy.
% 0.22/0.43  % (1946)------------------------------
% 0.22/0.43  % (1946)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.43  % (1946)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.43  % (1946)Termination reason: Inappropriate
% 0.22/0.43  
% 0.22/0.43  % (1946)Memory used [KB]: 1053
% 0.22/0.43  % (1946)Time elapsed: 0.008 s
% 0.22/0.43  % (1946)Instructions burned: 16 (million)
% 0.22/0.43  % (1946)------------------------------
% 0.22/0.43  % (1946)------------------------------
% 0.22/0.47  % (1950)Instruction limit reached!
% 0.22/0.47  % (1950)------------------------------
% 0.22/0.47  % (1950)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47  % (1950)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47  % (1950)Termination reason: Time limit
% 0.22/0.47  % (1950)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (1950)Memory used [KB]: 1442
% 0.22/0.47  % (1950)Time elapsed: 0.045 s
% 0.22/0.47  % (1950)Instructions burned: 104 (million)
% 0.22/0.47  % (1952)Instruction limit reached!
% 0.22/0.47  % (1952)------------------------------
% 0.22/0.47  % (1952)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47  % (1952)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47  % (1952)Termination reason: Time limit
% 0.22/0.47  % (1952)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (1952)Memory used [KB]: 2081
% 0.22/0.47  % (1952)Time elapsed: 0.046 s
% 0.22/0.47  % (1952)Instructions burned: 117 (million)
% 0.22/0.48  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48  % (1953)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)
% 0.22/0.49  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (1954)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.22/0.49  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (1955)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)
% 0.22/0.49  % (1951)Instruction limit reached!
% 0.22/0.49  % (1951)------------------------------
% 0.22/0.49  % (1951)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49  % (1951)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49  % (1951)Termination reason: Time limit
% 0.22/0.49  % (1951)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (1951)Memory used [KB]: 1998
% 0.22/0.49  % (1951)Time elapsed: 0.070 s
% 0.22/0.49  % (1951)Instructions burned: 148 (million)
% 0.22/0.50  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50  % (1957)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2999ds/7859Mi)
% 0.22/0.51  % (1945)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51  % (1956)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2999ds/900Mi)
% 0.22/0.51  % (1957)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.51  % (1957)Terminated due to inappropriate strategy.
% 0.22/0.51  % (1957)------------------------------
% 0.22/0.51  % (1957)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51  % (1957)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51  % (1957)Termination reason: Inappropriate
% 0.22/0.51  
% 0.22/0.51  % (1957)Memory used [KB]: 1049
% 0.22/0.51  % (1957)Time elapsed: 0.004 s
% 0.22/0.51  % (1957)Instructions burned: 12 (million)
% 0.22/0.51  % (1957)------------------------------
% 0.22/0.51  % (1957)------------------------------
% 1.18/0.53  % (1945)Running in auto input_syntax mode. Trying TPTP
% 1.18/0.53  % (1958)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)
% 1.18/0.54  % (1954)Instruction limit reached!
% 1.18/0.54  % (1954)------------------------------
% 1.18/0.54  % (1954)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.18/0.54  % (1954)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.18/0.54  % (1954)Termination reason: Time limit
% 1.18/0.54  % (1954)Termination phase: Saturation
% 1.18/0.54  
% 1.18/0.54  % (1954)Memory used [KB]: 2297
% 1.18/0.54  % (1954)Time elapsed: 0.051 s
% 1.18/0.54  % (1954)Instructions burned: 175 (million)
% 1.36/0.54  % (1945)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.54  % (1959)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)
% 1.36/0.55  % (1955)Instruction limit reached!
% 1.36/0.55  % (1955)------------------------------
% 1.36/0.55  % (1955)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.36/0.55  % (1955)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.36/0.55  % (1955)Termination reason: Time limit
% 1.36/0.55  % (1955)Termination phase: Saturation
% 1.36/0.55  
% 1.36/0.55  % (1955)Memory used [KB]: 1736
% 1.36/0.55  % (1955)Time elapsed: 0.062 s
% 1.36/0.55  % (1955)Instructions burned: 275 (million)
% 1.36/0.57  % (1945)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.57  % (1960)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2998ds/23580Mi)
% 1.36/0.57  % (1960)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.36/0.57  % (1960)Terminated due to inappropriate strategy.
% 1.36/0.57  % (1960)------------------------------
% 1.36/0.57  % (1960)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.36/0.57  % (1960)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.36/0.57  % (1960)Termination reason: Inappropriate
% 1.36/0.57  
% 1.36/0.57  % (1960)Memory used [KB]: 1199
% 1.36/0.57  % (1960)Time elapsed: 0.004 s
% 1.36/0.58  % (1960)Instructions burned: 12 (million)
% 1.36/0.58  % (1960)------------------------------
% 1.36/0.58  % (1960)------------------------------
% 1.36/0.58  % (1945)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.58  % (1961)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2998ds/2892Mi)
% 1.36/0.58  % (1961)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.36/0.58  % (1961)Terminated due to inappropriate strategy.
% 1.36/0.58  % (1961)------------------------------
% 1.36/0.58  % (1961)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.36/0.58  % (1961)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.36/0.58  % (1961)Termination reason: Inappropriate
% 1.36/0.58  
% 1.36/0.58  % (1961)Memory used [KB]: 1049
% 1.36/0.58  % (1961)Time elapsed: 0.003 s
% 1.36/0.58  % (1961)Instructions burned: 12 (million)
% 1.36/0.58  % (1961)------------------------------
% 1.36/0.58  % (1961)------------------------------
% 1.36/0.60  % (1953)Instruction limit reached!
% 1.36/0.60  % (1953)------------------------------
% 1.36/0.60  % (1953)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.36/0.60  % (1953)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.36/0.60  % (1953)Termination reason: Time limit
% 1.36/0.60  % (1953)Termination phase: Saturation
% 1.36/0.60  
% 1.36/0.60  % (1953)Memory used [KB]: 2768
% 1.36/0.60  % (1953)Time elapsed: 0.124 s
% 1.36/0.60  % (1953)Instructions burned: 404 (million)
% 1.36/0.61  % (1945)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.61  % (1962)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2997ds/1693Mi)
% 1.36/0.61  % (1945)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.61  % (1963)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)
% 1.36/0.64  % (1945)Running in auto input_syntax mode. Trying TPTP
% 1.36/0.64  % (1964)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)
% 1.36/0.64  % (1964)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.36/0.64  % (1964)Terminated due to inappropriate strategy.
% 1.36/0.64  % (1964)------------------------------
% 1.36/0.64  % (1964)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.36/0.64  % (1964)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.36/0.64  % (1964)Termination reason: Inappropriate
% 1.36/0.64  
% 1.36/0.64  % (1964)Memory used [KB]: 1049
% 1.36/0.64  % (1964)Time elapsed: 0.005 s
% 1.36/0.64  % (1964)Instructions burned: 12 (million)
% 1.36/0.64  % (1964)------------------------------
% 1.36/0.64  % (1964)------------------------------
% 1.84/0.67  % (1945)Running in auto input_syntax mode. Trying TPTP
% 1.84/0.67  % (1965)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2997ds/3451Mi)
% 1.84/0.68  % (1965)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.84/0.68  % (1965)Terminated due to inappropriate strategy.
% 1.84/0.68  % (1965)------------------------------
% 1.84/0.68  % (1965)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.84/0.68  % (1965)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.84/0.68  % (1965)Termination reason: Inappropriate
% 1.84/0.68  
% 1.84/0.68  % (1965)Memory used [KB]: 1199
% 1.84/0.68  % (1965)Time elapsed: 0.004 s
% 1.84/0.68  % (1965)Instructions burned: 12 (million)
% 1.84/0.68  % (1965)------------------------------
% 1.84/0.68  % (1965)------------------------------
% 2.04/0.71  % (1945)Running in auto input_syntax mode. Trying TPTP
% 2.04/0.71  % (1966)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2996ds/3978Mi)
% 2.48/0.89  % (1956)Instruction limit reached!
% 2.48/0.89  % (1956)------------------------------
% 2.48/0.89  % (1956)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.48/0.89  % (1956)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.48/0.89  % (1956)Termination reason: Time limit
% 2.48/0.89  % (1956)Termination phase: Saturation
% 2.48/0.89  
% 2.48/0.89  % (1956)Memory used [KB]: 3720
% 2.48/0.89  % (1956)Time elapsed: 0.388 s
% 2.48/0.89  % (1956)Instructions burned: 903 (million)
% 2.48/0.92  % (1945)Running in auto input_syntax mode. Trying TPTP
% 2.48/0.92  % (1967)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2994ds/33091Mi)
% 2.74/0.97  % (1959)Instruction limit reached!
% 2.74/0.97  % (1959)------------------------------
% 2.74/0.97  % (1959)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.74/0.97  % (1959)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.74/0.97  % (1959)Termination reason: Time limit
% 2.74/0.97  % (1959)Termination phase: Saturation
% 2.74/0.97  
% 2.74/0.97  % (1959)Memory used [KB]: 15486
% 2.74/0.97  % (1959)Time elapsed: 0.427 s
% 2.74/0.97  % (1959)Instructions burned: 1187 (million)
% 2.74/0.97  % (1963)Instruction limit reached!
% 2.74/0.97  % (1963)------------------------------
% 2.74/0.97  % (1963)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.74/0.97  % (1963)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.74/0.97  % (1963)Termination reason: Time limit
% 2.74/0.97  % (1963)Termination phase: Saturation
% 2.74/0.97  
% 2.74/0.97  % (1963)Memory used [KB]: 4071
% 2.74/0.97  % (1963)Time elapsed: 0.361 s
% 2.74/0.97  % (1963)Instructions burned: 1735 (million)
% 3.72/1.00  % (1945)Running in auto input_syntax mode. Trying TPTP
% 3.72/1.00  % (1968)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2993ds/9564Mi)
% 3.72/1.01  % (1945)Running in auto input_syntax mode. Trying TPTP
% 3.72/1.01  % (1969)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2993ds/50409Mi)
% 3.72/1.01  % (1969)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.72/1.01  % (1969)Terminated due to inappropriate strategy.
% 3.72/1.01  % (1969)------------------------------
% 3.72/1.01  % (1969)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.72/1.01  % (1969)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.72/1.01  % (1969)Termination reason: Inappropriate
% 3.72/1.01  
% 3.72/1.01  % (1969)Memory used [KB]: 1049
% 3.72/1.01  % (1969)Time elapsed: 0.004 s
% 3.72/1.01  % (1969)Instructions burned: 13 (million)
% 3.72/1.01  % (1969)------------------------------
% 3.72/1.01  % (1969)------------------------------
% 3.72/1.04  % (1945)Running in auto input_syntax mode. Trying TPTP
% 3.72/1.04  % (1970)dis+2_3:1_bsr=on:sil=64000:abs=on:i=10852:gsp=on:fs=off:fsr=off_0 on theBenchmark for (2993ds/10852Mi)
% 5.05/1.08  % (1962)Instruction limit reached!
% 5.05/1.08  % (1962)------------------------------
% 5.05/1.08  % (1962)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.05/1.08  % (1962)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.05/1.08  % (1962)Termination reason: Time limit
% 5.05/1.08  % (1962)Termination phase: Saturation
% 5.05/1.08  
% 5.05/1.08  % (1962)Memory used [KB]: 6303
% 5.05/1.08  % (1962)Time elapsed: 0.474 s
% 5.05/1.08  % (1962)Instructions burned: 1696 (million)
% 5.05/1.12  % (1945)Running in auto input_syntax mode. Trying TPTP
% 5.05/1.12  % (1972)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)
% 5.66/1.16  % (1958)Instruction limit reached!
% 5.66/1.16  % (1958)------------------------------
% 5.66/1.16  % (1958)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.66/1.16  % (1958)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.66/1.16  % (1958)Termination reason: Time limit
% 5.66/1.16  % (1958)Termination phase: Saturation
% 5.66/1.16  
% 5.66/1.16  % (1958)Memory used [KB]: 9155
% 5.66/1.16  % (1958)Time elapsed: 0.638 s
% 5.66/1.16  % (1958)Instructions burned: 2145 (million)
% 5.66/1.20  % (1945)Running in auto input_syntax mode. Trying TPTP
% 5.66/1.20  % (1973)fmb+10_1:1_fmbas=expand:sil=128000:i=17908:nm=2:fmbss=15:gsp=on_0 on theBenchmark for (2992ds/17908Mi)
% 5.66/1.20  % (1973)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.66/1.20  % (1973)Terminated due to inappropriate strategy.
% 5.66/1.20  % (1973)------------------------------
% 5.66/1.20  % (1973)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.66/1.20  % (1973)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.66/1.20  % (1973)Termination reason: Inappropriate
% 5.66/1.20  
% 5.66/1.20  % (1973)Memory used [KB]: 1049
% 5.66/1.20  % (1973)Time elapsed: 0.004 s
% 5.66/1.20  % (1973)Instructions burned: 13 (million)
% 5.66/1.20  % (1973)------------------------------
% 5.66/1.20  % (1973)------------------------------
% 5.66/1.23  % (1945)Running in auto input_syntax mode. Trying TPTP
% 5.66/1.23  % (1974)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 (2991ds/22636Mi)
% 9.93/1.79  % (1966)Instruction limit reached!
% 9.93/1.79  % (1966)------------------------------
% 9.93/1.79  % (1966)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.93/1.79  % (1966)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.93/1.79  % (1966)Termination reason: Time limit
% 9.93/1.79  % (1966)Termination phase: Saturation
% 9.93/1.79  
% 9.93/1.79  % (1966)Memory used [KB]: 9943
% 9.93/1.79  % (1966)Time elapsed: 1.082 s
% 9.93/1.79  % (1966)Instructions burned: 3978 (million)
% 10.35/1.83  % (1945)Running in auto input_syntax mode. Trying TPTP
% 10.35/1.83  % (1975)fmb+10_1:1_i=30223_0 on theBenchmark for (2985ds/30223Mi)
% 10.35/1.83  % (1975)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 10.35/1.83  % (1975)Terminated due to inappropriate strategy.
% 10.35/1.83  % (1975)------------------------------
% 10.35/1.83  % (1975)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.35/1.83  % (1975)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.35/1.83  % (1975)Termination reason: Inappropriate
% 10.35/1.83  
% 10.35/1.83  % (1975)Memory used [KB]: 1049
% 10.35/1.83  % (1975)Time elapsed: 0.004 s
% 10.35/1.83  % (1975)Instructions burned: 12 (million)
% 10.35/1.83  % (1975)------------------------------
% 10.35/1.83  % (1975)------------------------------
% 10.57/1.86  % (1945)Running in auto input_syntax mode. Trying TPTP
% 10.57/1.86  % (1976)ott+11_8:1_sil=64000:i=37350:fsr=off:bsr=unit_only:newcnf=on_0 on theBenchmark for (2985ds/37350Mi)
% 12.76/2.17  % (1967)First to succeed.
% 12.76/2.18  % (1967)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1945"
% 12.76/2.18  % (1945)Running in auto input_syntax mode. Trying TPTP
% 12.76/2.18  % (1967)Refutation found. Thanks to Tanya!
% 12.76/2.18  % SZS status Theorem for theBenchmark
% 12.76/2.18  % SZS output start Proof for theBenchmark
% See solution above
% 12.76/2.18  % (1967)------------------------------
% 12.76/2.18  % (1967)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.76/2.18  % (1967)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.76/2.18  % (1967)Termination reason: Refutation
% 12.76/2.18  
% 12.76/2.18  % (1967)Memory used [KB]: 12692
% 12.76/2.18  % (1967)Time elapsed: 1.257 s
% 12.76/2.18  % (1967)Instructions burned: 6161 (million)
% 12.76/2.18  % (1967)------------------------------
% 12.76/2.18  % (1967)------------------------------
% 12.76/2.18  % (1945)Success in time 1.798 s
%------------------------------------------------------------------------------