TSTP Solution File: SWW006_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW006_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:02:16 EDT 2022

% Result   : Theorem 2.70s 0.87s
% Output   : Refutation 2.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  11 unt;   7 typ;   0 def)
%            Number of atoms       : 7553 (6240 equ)
%            Maximal formula atoms :  942 ( 377 avg)
%            Number of connectives : 11581 (4048   ~;2496   |;5032   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  125 (  49 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     : 7555 (1308 atm;   0 fun;3844 num;2403 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   0 usr;   2 prp; 0-2 aty)
%            Number of functors    :   18 (   7 usr;  16 con; 0-1 aty)
%            Number of variables   : 2403 (2403   !;   0   ?;2403   :)

% 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(f416,plain,
    $false,
    inference(unit_resulting_resolution,[],[f96,f89,f50,f74,f78,f30,f113,f29,f109,f68,f16]) ).

tff(f16,plain,
    ! [X283: $int,X282: $int,X281: $int] :
      ( ~ $less(b(X283),3)
      | ( 5 != a(X282) )
      | ( X282 = X283 )
      | ( X281 = X282 )
      | ~ $less(X283,X282)
      | ( X281 = X283 )
      | ( 2 != b(X281) )
      | ( 5 != b(X282) )
      | ( 6 != a(X281) )
      | ( 10 != a(X283) ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
        ( ( a(X0) != 7 )
        | ( X0 = X2 )
        | ~ $less(X3,X0)
        | ( 10 != a(X3) )
        | ~ $less(b(X3),3)
        | ( X0 = X1 )
        | ( a(X1) != 4 )
        | ( X1 = X3 )
        | ( X2 = X3 )
        | ( b(X2) != 2 )
        | ( X1 = X2 )
        | ( b(X0) != 5 )
        | ( X0 = X3 ) )
    & ! [X4: $int,X5: $int,X6: $int] :
        ( ( 2 != b(X6) )
        | ( 5 != b(X4) )
        | ( X4 = X6 )
        | ~ $less(X6,X5)
        | ( 10 != a(X6) )
        | ( 5 != a(X5) )
        | ( X5 = X6 )
        | ( X4 = X5 ) )
    & ! [X7: $int,X8: $int,X9: $int,X10: $int] :
        ( ~ $less(X9,X7)
        | ( 12 != a(X7) )
        | ( 7 != a(X10) )
        | ( 2 != b(X10) )
        | ( X7 = X9 )
        | ( X7 = X8 )
        | ( X8 = X10 )
        | ( 10 != a(X9) )
        | ( X8 = X9 )
        | ( X9 = X10 )
        | ( 5 != b(X8) )
        | ~ $less(b(X9),3)
        | ( X7 = X10 ) )
    & ! [X11: $int,X12: $int,X13: $int] :
        ( ( X12 = X13 )
        | ~ $less(b(X12),4)
        | ( X11 = X13 )
        | ( X11 = X12 )
        | ~ $less(X13,X11)
        | ( 2 != b(X13) )
        | ( 10 != a(X13) )
        | ( 8 != a(X12) )
        | ( 12 != a(X11) ) )
    & ! [X14: $int,X15: $int,X16: $int,X17: $int] :
        ( ( 5 != b(X14) )
        | ( X15 = X16 )
        | ~ $less(X17,X16)
        | ( 2 != a(X15) )
        | ~ $less(b(X17),3)
        | ( X14 = X15 )
        | ( 4 != a(X16) )
        | ( X16 = X17 )
        | ( X14 = X16 )
        | ( 10 != a(X17) )
        | ( X14 = X17 )
        | ( X15 = X17 ) )
    & ! [X18: $int,X19: $int,X20: $int,X21: $int] :
        ( ( 7 != a(X21) )
        | ~ $less(b(X21),4)
        | ( 2 != b(X19) )
        | ( X20 = X21 )
        | ( X18 = X19 )
        | ( X19 = X21 )
        | ( 10 != a(X19) )
        | ( 12 != a(X18) )
        | ( X18 = X20 )
        | ( 5 != b(X20) )
        | ( X19 = X20 )
        | ( X18 = X21 )
        | ~ $less(X19,X18) )
    & ! [X22: $int,X23: $int,X24: $int] :
        ( ( X22 = X24 )
        | ( 10 != a(X22) )
        | ( 2 != b(X22) )
        | ( 7 != a(X24) )
        | ( X23 = X24 )
        | ( 5 != b(X24) )
        | ( X22 = X23 )
        | ( 4 != a(X23) )
        | ~ $less(X22,X24) )
    & ( 6 = a(z3) )
    & ! [X25: $int,X26: $int,X27: $int] :
        ( ( 7 != a(X26) )
        | ~ $less(X27,X26)
        | ( 10 != a(X27) )
        | ( X25 = X27 )
        | ~ $less(b(X27),3)
        | ( X25 = X26 )
        | ( X26 = X27 )
        | ( 8 != a(X25) ) )
    & ! [X28: $int,X29: $int,X30: $int] :
        ( ( 5 != b(X30) )
        | ( X28 = X29 )
        | ~ $less(X29,X30)
        | ( X29 = X30 )
        | ( X28 = X30 )
        | ( 2 != a(X30) )
        | ( 7 != a(X28) )
        | ( 10 != a(X29) )
        | ~ $less(b(X29),3)
        | ( 2 != b(X28) ) )
    & ! [X31: $int,X32: $int,X33: $int] :
        ( ( 10 != a(X32) )
        | ( 5 != b(X31) )
        | ( X31 = X32 )
        | ( X31 = X33 )
        | ( 4 != a(X33) )
        | ( 1 != a(X31) )
        | ~ $less(X32,X31)
        | ( 2 != b(X32) )
        | ( X32 = X33 ) )
    & ( 10 = a(z2) )
    & ! [X34: $int,X35: $int,X36: $int,X37: $int] :
        ( ( X36 = X37 )
        | ( X35 = X37 )
        | ( 3 != a(X36) )
        | ~ $less(X37,X36)
        | ~ $less(b(X36),4)
        | ( X34 = X36 )
        | ( 2 != b(X35) )
        | ( X34 = X37 )
        | ( 10 != a(X37) )
        | ( X34 = X35 )
        | ~ $less(b(X34),4)
        | ~ $less(b(X37),3)
        | ( X35 = X36 )
        | ( 8 != a(X34) ) )
    & ( z1 != z4 )
    & ! [X38: $int,X39: $int,X40: $int,X41: $int] :
        ( ~ $less(X39,X41)
        | ( X38 = X40 )
        | ( X38 = X39 )
        | ( X40 = X41 )
        | ( 10 != a(X39) )
        | ( X39 = X40 )
        | ~ $less(b(X39),3)
        | ( 5 != a(X38) )
        | ( X38 = X41 )
        | ( X39 = X41 )
        | ( 5 != b(X41) )
        | ( 2 != a(X40) )
        | ( 7 != a(X41) ) )
    & ! [X42: $int,X43: $int,X44: $int] :
        ( ~ $less(X42,X43)
        | ( X42 = X44 )
        | ( 4 != a(X43) )
        | ( 7 != a(X44) )
        | ( 2 != b(X42) )
        | ( 10 != a(X42) )
        | ( 5 != b(X43) )
        | ( X42 = X43 )
        | ( X43 = X44 ) )
    & ( z4 != z5 )
    & ! [X45: $int,X46: $int,X47: $int] :
        ( ( X45 = X47 )
        | ( 10 != a(X46) )
        | ( X45 = X46 )
        | ~ $less(X46,X45)
        | ( 4 != a(X47) )
        | ( X46 = X47 )
        | ( 2 != b(X46) )
        | ( 5 != b(X45) )
        | ( 4 != a(X45) ) )
    & ! [X48: $int,X49: $int,X50: $int] :
        ( ( X49 = X50 )
        | ( 5 != a(X50) )
        | ( 6 != a(X49) )
        | ( X48 = X50 )
        | ( 2 != b(X48) )
        | ~ $less(X48,X50)
        | ( X48 = X49 )
        | ( 5 != b(X50) )
        | ( 10 != a(X48) ) )
    & ! [X51: $int,X52: $int,X53: $int] :
        ( ( 5 != b(X51) )
        | ( X51 = X53 )
        | ( X51 = X52 )
        | ( 10 != a(X52) )
        | ~ $less(X52,X51)
        | ( X52 = X53 )
        | ( 4 != a(X53) )
        | ( 5 != a(X51) )
        | ( 2 != b(X52) ) )
    & ! [X54: $int,X55: $int] :
        ( ( 10 != a(X55) )
        | ~ $less(b(X55),3)
        | ( X54 = X55 )
        | ~ $less(X55,X54)
        | ( 8 != a(X54) ) )
    & ! [X56: $int,X57: $int,X58: $int] :
        ( ~ $less(b(X58),3)
        | ( X57 = X58 )
        | ( 10 != a(X58) )
        | ( X56 = X58 )
        | ~ $less(X58,X56)
        | ( X56 = X57 )
        | ( 5 != b(X56) )
        | ( 1 != a(X56) )
        | ( 2 != b(X57) )
        | ( 7 != a(X57) ) )
    & ! [X59: $int,X60: $int,X61: $int,X62: $int] :
        ( ( X60 = X62 )
        | ( X59 = X62 )
        | ( X61 = X62 )
        | ( X60 = X61 )
        | ( 8 != a(X60) )
        | ( 2 != a(X62) )
        | ( 4 != a(X59) )
        | ( X59 = X61 )
        | ( X59 = X60 )
        | ~ $less(X61,X59)
        | ( 10 != a(X61) )
        | ~ $less(b(X61),3) )
    & ! [X63: $int,X64: $int,X65: $int,X66: $int] :
        ( ~ $less(b(X66),3)
        | ( X63 = X64 )
        | ( 10 != a(X66) )
        | ( X63 = X65 )
        | ( X64 = X66 )
        | ~ $less(X66,X64)
        | ( 5 != b(X65) )
        | ( X63 = X66 )
        | ( 4 != a(X64) )
        | ( X64 = X65 )
        | ( X65 = X66 )
        | ( 2 != b(X63) )
        | ( 7 != a(X63) ) )
    & ( z1 != z2 )
    & ! [X67: $int,X68: $int,X69: $int] :
        ( ( 4 != a(X68) )
        | ( 5 != b(X68) )
        | ( 10 != a(X69) )
        | ~ $less(X69,X68)
        | ( X68 = X69 )
        | ( X67 = X68 )
        | ( 5 != a(X67) )
        | ( 2 != b(X69) )
        | ( X67 = X69 ) )
    & ! [X70: $int,X71: $int,X72: $int,X73: $int] :
        ( ~ $less(b(X70),3)
        | ( 5 != b(X71) )
        | ( X70 = X73 )
        | ( X71 = X72 )
        | ( 2 != a(X71) )
        | ~ $less(X70,X72)
        | ( X71 = X73 )
        | ( 10 != a(X70) )
        | ( 7 != a(X73) )
        | ( 5 != a(X72) )
        | ( X72 = X73 )
        | ( X70 = X71 )
        | ( X70 = X72 ) )
    & ! [X74: $int,X75: $int,X76: $int] :
        ( ( X74 = X76 )
        | ~ $less(X75,X76)
        | ( 12 != a(X76) )
        | ( X74 = X75 )
        | ( 2 != b(X75) )
        | ( 10 != a(X75) )
        | ( 6 != a(X74) )
        | ( 5 != b(X76) )
        | ( X75 = X76 ) )
    & ! [X77: $int,X78: $int,X79: $int] :
        ( ~ $less(b(X77),3)
        | ( X77 = X78 )
        | ( 5 != b(X78) )
        | ~ $less(X77,X78)
        | ( 7 != a(X79) )
        | ( X77 = X79 )
        | ( 10 != a(X77) )
        | ( 2 != b(X79) )
        | ( X78 = X79 )
        | ( 12 != a(X78) ) )
    & ! [X80: $int,X81: $int,X82: $int,X83: $int] :
        ( ~ $less(X82,X83)
        | ( X80 = X83 )
        | ( X81 = X82 )
        | ( 7 != a(X81) )
        | ( X80 = X81 )
        | ( 1 != a(X83) )
        | ( 10 != a(X82) )
        | ( X81 = X83 )
        | ~ $less(b(X82),3)
        | ( X82 = X83 )
        | ( 2 != b(X81) )
        | ( X80 = X82 )
        | ( 5 != b(X80) ) )
    & ( z1 != z5 )
    & ( z1 != z3 )
    & ! [X84: $int,X85: $int,X86: $int] :
        ( ( X84 = X85 )
        | ~ $less(X85,X86)
        | ( 12 != a(X86) )
        | ~ $less(b(X85),3)
        | ( 2 != b(X84) )
        | ( 10 != a(X85) )
        | ( 8 != a(X84) )
        | ( X84 = X86 )
        | ( X85 = X86 ) )
    & ! [X87: $int,X88: $int,X89: $int,X90: $int] :
        ( ~ $less(b(X88),3)
        | ( X87 = X89 )
        | ( X88 = X89 )
        | ( 1 != a(X89) )
        | ~ $less(X88,X87)
        | ( 5 != b(X90) )
        | ( X89 = X90 )
        | ( 10 != a(X88) )
        | ( X87 = X88 )
        | ( X88 = X90 )
        | ( 4 != a(X87) )
        | ( X87 = X90 ) )
    & ! [X91: $int,X92: $int,X93: $int,X94: $int] :
        ( ( X92 = X93 )
        | ( 7 != a(X92) )
        | ( 5 != a(X94) )
        | ( X93 = X94 )
        | ( X91 = X93 )
        | ~ $less(X93,X92)
        | ( X92 = X94 )
        | ~ $less(b(X93),3)
        | ( X91 = X92 )
        | ( 5 != b(X92) )
        | ( X91 = X94 )
        | ( 2 != b(X91) )
        | ( 10 != a(X93) ) )
    & ! [X95: $int,X96: $int,X97: $int] :
        ( ( X95 = X96 )
        | ( 10 != a(X95) )
        | ~ $less(b(X97),4)
        | ( X96 = X97 )
        | ( 5 != b(X96) )
        | ~ $less(X95,X96)
        | ( 2 != b(X95) )
        | ( 12 != a(X96) )
        | ( X95 = X97 )
        | ( 7 != a(X97) ) )
    & ! [X98: $int,X99: $int,X100: $int] :
        ( ( X99 = X100 )
        | ( 4 != a(X99) )
        | ( 10 != a(X100) )
        | ( 2 != b(X100) )
        | ( X98 = X100 )
        | ( 5 != b(X98) )
        | ( X98 = X99 )
        | ~ $less(X100,X99) )
    & ( z3 != z5 )
    & ! [X101: $int,X102: $int,X103: $int] :
        ( ( 2 != b(X102) )
        | ( 10 != a(X101) )
        | ( 8 != a(X102) )
        | ~ $less(X101,X103)
        | ~ $less(b(X101),3)
        | ( X101 = X103 )
        | ( X102 = X103 )
        | ( X101 = X102 )
        | ( 2 != a(X103) ) )
    & ! [X104: $int,X105: $int,X106: $int,X107: $int] :
        ( ( 5 != a(X104) )
        | ( X105 = X106 )
        | ( 2 != b(X104) )
        | ( X104 = X105 )
        | ( X104 = X107 )
        | ( X104 = X106 )
        | ( 2 != b(X106) )
        | ( X106 = X107 )
        | ~ $less(X107,X105)
        | ( 10 != a(X107) )
        | ~ $less(b(X107),3)
        | ( X105 = X107 )
        | ( 5 != b(X105) )
        | ( 5 != a(X105) ) )
    & ! [X108: $int,X109: $int,X110: $int] :
        ( ( X108 = X109 )
        | ~ $less(X108,X110)
        | ( 2 != b(X109) )
        | ( 5 != b(X110) )
        | ( 7 != a(X109) )
        | ( 4 != a(X110) )
        | ~ $less(b(X108),3)
        | ( X108 = X110 )
        | ( X109 = X110 )
        | ( 10 != a(X108) ) )
    & ! [X111: $int,X112: $int,X113: $int] :
        ( ~ $less(X112,X111)
        | ( 2 != b(X112) )
        | ( 10 != a(X112) )
        | ( X111 = X112 )
        | ( X111 = X113 )
        | ( 5 != b(X111) )
        | ( 5 != a(X113) )
        | ( 2 != a(X111) )
        | ( X112 = X113 ) )
    & ( 5 = b(z1) )
    & ! [X114: $int,X115: $int,X116: $int,X117: $int] :
        ( ~ $less(X114,X115)
        | ( 5 != b(X117) )
        | ( X114 = X115 )
        | ( 2 != a(X115) )
        | ~ $less(b(X116),4)
        | ( X115 = X117 )
        | ( X115 = X116 )
        | ( X116 = X117 )
        | ( 10 != a(X114) )
        | ( 7 != a(X116) )
        | ( X114 = X117 )
        | ( 2 != b(X114) )
        | ( X114 = X116 ) )
    & ! [X118: $int,X119: $int,X120: $int] :
        ( ( 2 != a(X118) )
        | ( X118 = X120 )
        | ~ $less(X119,X118)
        | ~ $less(b(X120),4)
        | ( 2 != b(X119) )
        | ( X119 = X120 )
        | ( 8 != a(X120) )
        | ( 10 != a(X119) )
        | ( X118 = X119 ) )
    & ! [X121: $int,X122: $int,X123: $int,X124: $int] :
        ( ( X121 = X123 )
        | ( X123 = X124 )
        | ( 6 != a(X124) )
        | ( X121 = X122 )
        | ( 5 != b(X122) )
        | ( 5 != a(X122) )
        | ( X121 = X124 )
        | ~ $less(X121,X122)
        | ( X122 = X123 )
        | ~ $less(b(X121),3)
        | ( 10 != a(X121) )
        | ( 2 != a(X123) )
        | ( X122 = X124 ) )
    & ( 5 = a(z1) )
    & ! [X125: $int,X126: $int,X127: $int] :
        ( ( 5 != b(X127) )
        | ( X125 = X127 )
        | ( X125 = X126 )
        | ( 6 != a(X126) )
        | ~ $less(X125,X127)
        | ( X126 = X127 )
        | ( 1 != a(X127) )
        | ( 10 != a(X125) )
        | ( 2 != b(X125) ) )
    & ! [X128: $int,X129: $int,X130: $int,X131: $int] :
        ( ( X128 = X131 )
        | ( X129 = X131 )
        | ( X128 = X129 )
        | ~ $less(X131,X128)
        | ~ $less(b(X131),3)
        | ( X129 = X130 )
        | ( 2 != a(X129) )
        | ( 10 != a(X131) )
        | ( 5 != a(X128) )
        | ( X130 = X131 )
        | ( X128 = X130 )
        | ( 8 != a(X130) ) )
    & ! [X132: $int,X133: $int,X134: $int,X135: $int] :
        ( ~ $less(X132,X133)
        | ( 12 != a(X134) )
        | ( 5 != a(X133) )
        | ( X133 = X135 )
        | ~ $less(b(X132),3)
        | ( 5 != b(X135) )
        | ( X134 = X135 )
        | ( 10 != a(X132) )
        | ( X133 = X134 )
        | ( X132 = X133 )
        | ( X132 = X134 )
        | ( X132 = X135 ) )
    & ! [X136: $int,X137: $int,X138: $int] :
        ( ( 4 != a(X136) )
        | ~ $less(X137,X138)
        | ( 5 != b(X138) )
        | ( 6 != a(X138) )
        | ( 2 != b(X137) )
        | ( X136 = X137 )
        | ( 10 != a(X137) )
        | ( X136 = X138 )
        | ( X137 = X138 ) )
    & ! [X139: $int,X140: $int,X141: $int,X142: $int] :
        ( ( X140 = X142 )
        | ( X139 = X142 )
        | ( X140 = X141 )
        | ( 5 != a(X142) )
        | ( X139 = X141 )
        | ( X139 = X140 )
        | ( 2 != a(X139) )
        | ( X141 = X142 )
        | ( 10 != a(X140) )
        | ~ $less(b(X140),3)
        | ( 7 != a(X141) )
        | ~ $less(X140,X142)
        | ( 5 != b(X142) ) )
    & $less(b(z2),3)
    & ! [X143: $int,X144: $int,X145: $int,X146: $int] :
        ( ( X143 = X144 )
        | ( 1 != a(X146) )
        | ~ $less(b(X143),4)
        | ( 2 != b(X145) )
        | ( X145 = X146 )
        | ~ $less(X145,X146)
        | ( 5 != b(X144) )
        | ( X143 = X145 )
        | ( X143 = X146 )
        | ( 7 != a(X143) )
        | ( X144 = X145 )
        | ( 10 != a(X145) )
        | ( X144 = X146 ) )
    & ( 5 = a(z4) )
    & ! [X147: $int,X148: $int] :
        ( ~ $less(b(X148),3)
        | ( 9 != a(X147) )
        | ( 10 != a(X148) )
        | ( X147 = X148 )
        | ~ $less(X148,X147) )
    & ! [X149: $int,X150: $int] :
        ( ( 10 != a(X150) )
        | ( 10 != a(X149) )
        | ( X149 = X150 ) )
    & ! [X151: $int,X152: $int,X153: $int] :
        ( ( X152 = X153 )
        | ( 7 != a(X152) )
        | ( 5 != b(X153) )
        | ( 10 != a(X151) )
        | ( 2 != b(X151) )
        | ( X151 = X152 )
        | ~ $less(b(X152),4)
        | ( X151 = X153 )
        | ( 2 != a(X153) )
        | ~ $less(X151,X153) )
    & ! [X154: $int,X155: $int,X156: $int] :
        ( ~ $less(X156,X154)
        | ( 10 != a(X156) )
        | ~ $less(b(X156),3)
        | ( 1 != a(X154) )
        | ( X154 = X155 )
        | ( X154 = X156 )
        | ( X155 = X156 )
        | ( 2 != b(X155) )
        | ( 8 != a(X155) ) )
    & ! [X157: $int,X158: $int,X159: $int] :
        ( ~ $less(b(X157),3)
        | ( X158 = X159 )
        | ( X157 = X159 )
        | ( 5 != a(X159) )
        | ( 5 != b(X159) )
        | ( 2 != b(X158) )
        | ( 7 != a(X158) )
        | ( X157 = X158 )
        | ( 10 != a(X157) )
        | ~ $less(X157,X159) )
    & ! [X160: $int,X161: $int,X162: $int] :
        ( ( 8 != a(X161) )
        | ( X160 = X161 )
        | ~ $less(X160,X162)
        | ( X161 = X162 )
        | ( 10 != a(X160) )
        | ( 2 != b(X160) )
        | ( X160 = X162 )
        | ( 5 != a(X162) ) )
    & ! [X163: $int,X164: $int,X165: $int,X166: $int] :
        ( ~ $less(X165,X164)
        | ( X164 = X165 )
        | ( X164 = X166 )
        | ( 6 != a(X164) )
        | ( X163 = X166 )
        | ( 5 != a(X163) )
        | ( X163 = X164 )
        | ( 5 != b(X164) )
        | ~ $less(b(X165),3)
        | ( X163 = X165 )
        | ( X165 = X166 )
        | ( 10 != a(X165) )
        | ( 2 != b(X166) ) )
    & ! [X167: $int,X168: $int,X169: $int] :
        ( ( X167 = X168 )
        | ~ $less(b(X169),3)
        | ( X168 = X169 )
        | ( X167 = X169 )
        | ( 7 != a(X168) )
        | ( 6 != a(X167) )
        | ( 10 != a(X169) )
        | ~ $less(X169,X168)
        | ( 5 != b(X168) ) )
    & ! [X170: $int,X171: $int,X172: $int] :
        ( ( X171 = X172 )
        | ( X170 = X172 )
        | ( 5 != a(X172) )
        | ( 2 != b(X171) )
        | ( 7 != a(X170) )
        | ( 10 != a(X171) )
        | ~ $less(X171,X170)
        | ( X170 = X171 )
        | ( 5 != b(X170) ) )
    & ! [X173: $int,X174: $int,X175: $int,X176: $int] :
        ( ( X173 = X175 )
        | ~ $less(b(X176),3)
        | ( 5 != b(X173) )
        | ( X174 = X175 )
        | ( X173 = X174 )
        | ( X174 = X176 )
        | ~ $less(X176,X175)
        | ( X173 = X176 )
        | ( 2 != b(X174) )
        | ( 4 != a(X175) )
        | ( 10 != a(X176) )
        | ( X175 = X176 ) )
    & ! [X177: $int,X178: $int,X179: $int,X180: $int] :
        ( ( 1 != a(X180) )
        | ( X179 = X180 )
        | ( 8 != a(X179) )
        | ( X177 = X178 )
        | ( 5 != a(X178) )
        | ( X177 = X180 )
        | ( X177 = X179 )
        | ( X178 = X179 )
        | ~ $less(b(X177),3)
        | ( 10 != a(X177) )
        | ( X178 = X180 )
        | ~ $less(X177,X178) )
    & ! [X181: $int,X182: $int,X183: $int,X184: $int] :
        ( ( 1 != a(X183) )
        | ~ $less(b(X182),3)
        | ~ $less(X182,X181)
        | ( X181 = X182 )
        | ( X182 = X183 )
        | ( 10 != a(X182) )
        | ( X182 = X184 )
        | ( X183 = X184 )
        | ( X181 = X183 )
        | ( X181 = X184 )
        | ( 5 != b(X184) )
        | ( 5 != a(X181) ) )
    & ! [X185: $int,X186: $int,X187: $int,X188: $int] :
        ( ( X186 = X188 )
        | ( X187 = X188 )
        | ( 2 != b(X185) )
        | ( X185 = X188 )
        | ~ $less(b(X186),3)
        | ( X186 = X187 )
        | ~ $less(X186,X188)
        | ( 5 != b(X187) )
        | ( 5 != a(X188) )
        | ( 10 != a(X186) )
        | ( X185 = X186 )
        | ( X185 = X187 ) )
    & ( z2 != z5 )
    & ! [X189: $int,X190: $int,X191: $int] :
        ( ( 10 != a(X189) )
        | ( 4 != a(X190) )
        | ( 5 != b(X191) )
        | ( X189 = X190 )
        | ( X190 = X191 )
        | ( X189 = X191 )
        | ( 2 != b(X189) )
        | ( 12 != a(X191) )
        | ~ $less(X189,X191) )
    & $less(z2,z1)
    & ! [X192: $int,X193: $int,X194: $int] :
        ( ( 8 != a(X193) )
        | ( X193 = X194 )
        | ( 10 != a(X192) )
        | ( X192 = X193 )
        | ~ $less(b(X192),3)
        | ( X192 = X194 )
        | ~ $less(X192,X194)
        | ( 6 != a(X194) ) )
    & ! [X195: $int] :
        ( ~ $less(12,a(X195))
        & ~ $less(a(X195),1) )
    & ! [X196: $int,X197: $int,X198: $int] :
        ( ~ $less(b(X196),3)
        | ( X196 = X197 )
        | ( X197 = X198 )
        | ( 10 != a(X196) )
        | ( 6 != a(X198) )
        | ( 5 != b(X197) )
        | ( X196 = X198 )
        | ~ $less(X196,X198) )
    & ! [X199: $int,X200: $int,X201: $int,X202: $int] :
        ( ( X200 = X201 )
        | ( X199 = X201 )
        | ( X200 = X202 )
        | ~ $less(X202,X199)
        | ( 3 != a(X199) )
        | ( X199 = X200 )
        | ~ $less(b(X202),3)
        | ( 5 != b(X201) )
        | ~ $less(b(X199),4)
        | ( X199 = X202 )
        | ( 2 != b(X200) )
        | ( 7 != a(X200) )
        | ( 10 != a(X202) )
        | ( X201 = X202 ) )
    & ! [X203: $int,X204: $int,X205: $int] :
        ( ( 5 != b(X205) )
        | ( X203 = X204 )
        | ~ $less(X203,X205)
        | ( 2 != b(X203) )
        | ( X203 = X205 )
        | ( 2 != a(X205) )
        | ( X204 = X205 )
        | ( 6 != a(X204) )
        | ( 10 != a(X203) ) )
    & ! [X206: $int,X207: $int,X208: $int] :
        ( ( 10 != a(X207) )
        | ( X206 = X207 )
        | ( 5 != b(X206) )
        | ~ $less(X207,X206)
        | ( X206 = X208 )
        | ( 5 != a(X208) )
        | ( 2 != b(X207) )
        | ( X207 = X208 )
        | ( 6 != a(X206) ) )
    & ! [X209: $int,X210: $int,X211: $int,X212: $int] :
        ( ( 5 != b(X212) )
        | ( X210 = X211 )
        | ( 5 != a(X212) )
        | ( X210 = X212 )
        | ( 2 != b(X211) )
        | ( X209 = X210 )
        | ( 5 != a(X210) )
        | ( X209 = X212 )
        | ( X211 = X212 )
        | ( X209 = X211 )
        | ~ $less(b(X209),3)
        | ( 10 != a(X209) )
        | ~ $less(X209,X212) )
    & ! [X213: $int,X214: $int,X215: $int] :
        ( ( X213 = X215 )
        | ( 2 != b(X215) )
        | ( 5 != b(X213) )
        | ( 5 != a(X214) )
        | ( 10 != a(X215) )
        | ( 12 != a(X213) )
        | ~ $less(X215,X213)
        | ( X214 = X215 )
        | ( X213 = X214 ) )
    & ! [X216: $int,X217: $int,X218: $int] :
        ( ( X217 = X218 )
        | ( X216 = X217 )
        | ( 7 != a(X218) )
        | ~ $less(b(X217),3)
        | ( 5 != b(X216) )
        | ( X216 = X218 )
        | ( 10 != a(X217) )
        | ~ $less(X217,X218) )
    & ! [X219: $int,X220: $int,X221: $int] :
        ( ( 4 != a(X220) )
        | ( 10 != a(X219) )
        | ( 2 != b(X219) )
        | ~ $less(X219,X221)
        | ( 2 != a(X221) )
        | ( X219 = X221 )
        | ( X219 = X220 )
        | ( 5 != b(X221) )
        | ( X220 = X221 ) )
    & ! [X222: $int,X223: $int,X224: $int] :
        ( ( 5 != b(X222) )
        | ( X222 = X223 )
        | ( 7 != a(X224) )
        | ( X222 = X224 )
        | ~ $less(X223,X222)
        | ( 6 != a(X222) )
        | ( X223 = X224 )
        | ~ $less(b(X223),3)
        | ( 10 != a(X223) ) )
    & ! [X225: $int,X226: $int,X227: $int] :
        ( ( 3 != a(X225) )
        | ( 2 != b(X226) )
        | ( 8 != a(X226) )
        | ~ $less(X227,X225)
        | ~ $less(b(X227),3)
        | ( 10 != a(X227) )
        | ( X225 = X226 )
        | ( X225 = X227 )
        | ~ $less(b(X225),4)
        | ( X226 = X227 ) )
    & ! [X228: $int,X229: $int,X230: $int] :
        ( ( X229 = X230 )
        | ( 5 != b(X228) )
        | ( X228 = X230 )
        | ~ $less(X229,X228)
        | ( 7 != a(X230) )
        | ~ $less(b(X229),3)
        | ( 10 != a(X229) )
        | ( 7 != a(X228) )
        | ( X228 = X229 ) )
    & ! [X231: $int,X232: $int,X233: $int] :
        ( ( X231 = X233 )
        | ( 2 != b(X233) )
        | ( X232 = X233 )
        | ( 5 != b(X232) )
        | ( 7 != a(X231) )
        | ( X231 = X232 )
        | ( 5 != a(X232) )
        | ( 10 != a(X233) )
        | ~ $less(X233,X232) )
    & ! [X234: $int,X235: $int,X236: $int] :
        ( ( X234 = X235 )
        | ( X234 = X236 )
        | ( 6 != a(X234) )
        | ( 4 != a(X235) )
        | ( 10 != a(X236) )
        | ( 5 != b(X235) )
        | ( 2 != b(X236) )
        | ( X235 = X236 )
        | ~ $less(X236,X235) )
    & ! [X237: $int,X238: $int,X239: $int,X240: $int] :
        ( ~ $less(X240,X238)
        | ( X239 = X240 )
        | ( X237 = X240 )
        | ( X237 = X239 )
        | ( 8 != a(X239) )
        | ( 10 != a(X240) )
        | ( X237 = X238 )
        | ( 5 != a(X238) )
        | ~ $less(b(X240),3)
        | ( 2 != b(X237) )
        | ( X238 = X239 )
        | ( X238 = X240 ) )
    & ! [X241: $int,X242: $int,X243: $int] :
        ( ~ $less(X242,X243)
        | ( 2 != b(X242) )
        | ( X242 = X243 )
        | ( X241 = X243 )
        | ( 5 != b(X243) )
        | ( 10 != a(X242) )
        | ( X241 = X242 )
        | ( 1 != a(X243) )
        | ( 5 != a(X241) ) )
    & ! [X244: $int,X245: $int,X246: $int] :
        ( ~ $less(X246,X245)
        | ( 2 != b(X244) )
        | ( 10 != a(X246) )
        | ( X244 = X246 )
        | ( X245 = X246 )
        | ( 4 != a(X245) )
        | ( X244 = X245 )
        | ~ $less(b(X246),3)
        | ( 8 != a(X244) ) )
    & ( z2 != z3 )
    & ( 2 = b(z3) )
    & ! [X247: $int,X248: $int,X249: $int] :
        ( ( 2 != b(X248) )
        | ( 5 != a(X249) )
        | ( X247 = X249 )
        | ( 10 != a(X248) )
        | ( 5 != a(X247) )
        | ( X248 = X249 )
        | ( 5 != b(X247) )
        | ~ $less(X248,X247)
        | ( X247 = X248 ) )
    & ! [X250: $int] :
        ( ~ $less(5,b(X250))
        & ~ $less(b(X250),1) )
    & ! [X251: $int,X252: $int,X253: $int,X254: $int] :
        ( ( X251 = X253 )
        | ( X253 = X254 )
        | ( X251 = X254 )
        | ( 8 != a(X254) )
        | ( 2 != b(X253) )
        | ( X252 = X254 )
        | ( X252 = X253 )
        | ( 4 != a(X251) )
        | ( 10 != a(X252) )
        | ~ $less(b(X252),3)
        | ~ $less(X252,X251)
        | ( X251 = X252 ) )
    & ! [X255: $int,X256: $int,X257: $int,X258: $int] :
        ( ~ $less(b(X255),3)
        | ( X256 = X258 )
        | ~ $less(X255,X256)
        | ( 10 != a(X255) )
        | ( X256 = X257 )
        | ( 7 != a(X258) )
        | ( X255 = X256 )
        | ( 5 != b(X257) )
        | ( X257 = X258 )
        | ( X255 = X258 )
        | ( X255 = X257 )
        | ( 2 != b(X258) )
        | ( 2 != a(X256) ) )
    & ! [X259: $int,X260: $int,X261: $int,X262: $int] :
        ( ( X261 = X262 )
        | ( 10 != a(X262) )
        | ( 7 != a(X261) )
        | ( X259 = X262 )
        | ~ $less(X262,X260)
        | ( X260 = X261 )
        | ( X259 = X260 )
        | ( 5 != b(X260) )
        | ( X259 = X261 )
        | ( 5 != a(X260) )
        | ( 2 != b(X259) )
        | ( X260 = X262 )
        | ~ $less(b(X262),3) )
    & ! [X263: $int,X264: $int,X265: $int,X266: $int] :
        ( ( X263 = X265 )
        | ~ $less(b(X263),3)
        | ( 2 != a(X264) )
        | ( 5 != a(X265) )
        | ( 10 != a(X263) )
        | ( X264 = X265 )
        | ~ $less(X263,X265)
        | ( X263 = X266 )
        | ( X265 = X266 )
        | ( X264 = X266 )
        | ( 5 != b(X266) )
        | ( X263 = X264 ) )
    & ( 2 = b(z4) )
    & ! [X267: $int,X268: $int,X269: $int] :
        ( ( X267 = X268 )
        | ( 2 != b(X269) )
        | ( X267 = X269 )
        | ~ $less(b(X267),4)
        | ~ $less(X269,X268)
        | ( X268 = X269 )
        | ( 8 != a(X267) )
        | ( 10 != a(X269) )
        | ( 1 != a(X268) ) )
    & ! [X270: $int,X271: $int,X272: $int] :
        ( ( 7 != a(X271) )
        | ( 10 != a(X272) )
        | ~ $less(b(X271),4)
        | ( X271 = X272 )
        | ( X270 = X272 )
        | ~ $less(X272,X270)
        | ( 1 != a(X270) )
        | ( X270 = X271 )
        | ( 5 != b(X270) )
        | ( 2 != b(X272) ) )
    & ! [X273: $int,X274: $int,X275: $int,X276: $int] :
        ( ~ $less(b(X276),4)
        | ( 2 != b(X274) )
        | ( 3 != a(X276) )
        | ( 10 != a(X274) )
        | ( 7 != a(X275) )
        | ~ $less(b(X275),4)
        | ~ $less(X274,X276)
        | ( X273 = X274 )
        | ( X273 = X276 )
        | ( X274 = X275 )
        | ( 5 != b(X273) )
        | ( X275 = X276 )
        | ( X274 = X276 )
        | ( X273 = X275 ) )
    & ! [X277: $int,X278: $int,X279: $int,X280: $int] :
        ( ( X277 = X279 )
        | ( 10 != a(X279) )
        | ( X278 = X279 )
        | ~ $less(b(X279),3)
        | ( 2 != b(X278) )
        | ~ $less(X279,X277)
        | ( 5 != b(X277) )
        | ( X278 = X280 )
        | ( 7 != a(X280) )
        | ( 4 != a(X277) )
        | ( X277 = X278 )
        | ( X277 = X280 )
        | ( X279 = X280 ) )
    & ! [X281: $int,X282: $int,X283: $int] :
        ( ( 6 != a(X281) )
        | ~ $less(X283,X282)
        | ( X281 = X282 )
        | ( 5 != b(X282) )
        | ( 5 != a(X282) )
        | ( 2 != b(X281) )
        | ( X282 = X283 )
        | ( 10 != a(X283) )
        | ~ $less(b(X283),3)
        | ( X281 = X283 ) )
    & ! [X284: $int,X285: $int,X286: $int] :
        ( ( X284 = X285 )
        | ( X285 = X286 )
        | ( X284 = X286 )
        | ( 10 != a(X285) )
        | ( 3 != a(X286) )
        | ( 8 != a(X284) )
        | ~ $less(b(X286),4)
        | ( 2 != b(X285) )
        | ~ $less(X285,X286)
        | ~ $less(b(X284),4) )
    & ( z2 != z4 )
    & ! [X287: $int,X288: $int,X289: $int] :
        ( ( 4 != a(X289) )
        | ( X288 = X289 )
        | ( X287 = X288 )
        | ~ $less(X288,X289)
        | ( X287 = X289 )
        | ( 10 != a(X288) )
        | ( 2 != b(X288) )
        | ( 8 != a(X287) ) )
    & ! [X290: $int,X291: $int,X292: $int,X293: $int] :
        ( ( 10 != a(X291) )
        | ( 6 != a(X293) )
        | ( 2 != b(X290) )
        | ( X291 = X292 )
        | ( X290 = X293 )
        | ( X290 = X292 )
        | ~ $less(b(X291),3)
        | ~ $less(X291,X292)
        | ( X292 = X293 )
        | ( X290 = X291 )
        | ( 5 != b(X292) )
        | ( 5 != a(X292) )
        | ( X291 = X293 ) )
    & ! [X294: $int,X295: $int,X296: $int] :
        ( ( 10 != a(X296) )
        | ~ $less(b(X296),3)
        | ( 6 != a(X295) )
        | ( X294 = X296 )
        | ( X294 = X295 )
        | ( X295 = X296 )
        | ( 5 != b(X294) )
        | ( 6 != a(X294) )
        | ~ $less(X296,X294) )
    & ( z3 != z4 )
    & ! [X297: $int,X298: $int,X299: $int] :
        ( ( 10 != a(X299) )
        | ( 5 != a(X297) )
        | ( 2 != b(X298) )
        | ( X297 = X299 )
        | ( X297 = X298 )
        | ~ $less(X299,X297)
        | ( X298 = X299 )
        | ( 8 != a(X298) )
        | ~ $less(b(X299),3) ) ),
    inference(rectify,[],[f7]) ).

tff(f7,plain,
    ( ! [X67: $int,X64: $int,X66: $int,X65: $int] :
        ( ( 7 != a(X67) )
        | ( X66 = X67 )
        | ~ $less(X65,X67)
        | ( 10 != a(X65) )
        | ~ $less(b(X65),3)
        | ( X64 = X67 )
        | ( 4 != a(X64) )
        | ( X64 = X65 )
        | ( X65 = X66 )
        | ( 2 != b(X66) )
        | ( X64 = X66 )
        | ( 5 != b(X67) )
        | ( X65 = X67 ) )
    & ! [X78: $int,X80: $int,X79: $int] :
        ( ( 2 != b(X79) )
        | ( 5 != b(X78) )
        | ( X78 = X79 )
        | ~ $less(X79,X80)
        | ( 10 != a(X79) )
        | ( 5 != a(X80) )
        | ( X79 = X80 )
        | ( X78 = X80 ) )
    & ! [X9: $int,X10: $int,X8: $int,X11: $int] :
        ( ~ $less(X8,X9)
        | ( 12 != a(X9) )
        | ( 7 != a(X11) )
        | ( 2 != b(X11) )
        | ( X8 = X9 )
        | ( X9 = X10 )
        | ( X10 = X11 )
        | ( 10 != a(X8) )
        | ( X8 = X10 )
        | ( X8 = X11 )
        | ( 5 != b(X10) )
        | ~ $less(b(X8),3)
        | ( X9 = X11 ) )
    & ! [X255: $int,X256: $int,X254: $int] :
        ( ( X254 = X256 )
        | ~ $less(b(X256),4)
        | ( X254 = X255 )
        | ( X255 = X256 )
        | ~ $less(X254,X255)
        | ( 2 != b(X254) )
        | ( 10 != a(X254) )
        | ( 8 != a(X256) )
        | ( 12 != a(X255) ) )
    & ! [X32: $int,X29: $int,X30: $int,X31: $int] :
        ( ( 5 != b(X32) )
        | ( X29 = X30 )
        | ~ $less(X31,X30)
        | ( 2 != a(X29) )
        | ~ $less(b(X31),3)
        | ( X29 = X32 )
        | ( 4 != a(X30) )
        | ( X30 = X31 )
        | ( X30 = X32 )
        | ( 10 != a(X31) )
        | ( X31 = X32 )
        | ( X29 = X31 ) )
    & ! [X158: $int,X159: $int,X156: $int,X157: $int] :
        ( ( 7 != a(X157) )
        | ~ $less(b(X157),4)
        | ( 2 != b(X159) )
        | ( X156 = X157 )
        | ( X158 = X159 )
        | ( X157 = X159 )
        | ( 10 != a(X159) )
        | ( 12 != a(X158) )
        | ( X156 = X158 )
        | ( 5 != b(X156) )
        | ( X156 = X159 )
        | ( X157 = X158 )
        | ~ $less(X159,X158) )
    & ! [X69: $int,X70: $int,X68: $int] :
        ( ( X68 = X69 )
        | ( 10 != a(X69) )
        | ( 2 != b(X69) )
        | ( 7 != a(X68) )
        | ( X68 = X70 )
        | ( 5 != b(X68) )
        | ( X69 = X70 )
        | ( 4 != a(X70) )
        | ~ $less(X69,X68) )
    & ( 6 = a(z3) )
    & ! [X224: $int,X225: $int,X223: $int] :
        ( ( 7 != a(X225) )
        | ~ $less(X223,X225)
        | ( 10 != a(X223) )
        | ( X223 = X224 )
        | ~ $less(b(X223),3)
        | ( X224 = X225 )
        | ( X223 = X225 )
        | ( 8 != a(X224) ) )
    & ! [X282: $int,X281: $int,X283: $int] :
        ( ( 5 != b(X283) )
        | ( X281 = X282 )
        | ~ $less(X281,X283)
        | ( X281 = X283 )
        | ( X282 = X283 )
        | ( 2 != a(X283) )
        | ( 7 != a(X282) )
        | ( 10 != a(X281) )
        | ~ $less(b(X281),3)
        | ( 2 != b(X282) ) )
    & ! [X227: $int,X228: $int,X226: $int] :
        ( ( 10 != a(X228) )
        | ( 5 != b(X227) )
        | ( X227 = X228 )
        | ( X226 = X227 )
        | ( 4 != a(X226) )
        | ( 1 != a(X227) )
        | ~ $less(X228,X227)
        | ( 2 != b(X228) )
        | ( X226 = X228 ) )
    & ( 10 = a(z2) )
    & ! [X141: $int,X140: $int,X142: $int,X143: $int] :
        ( ( X142 = X143 )
        | ( X140 = X143 )
        | ( 3 != a(X142) )
        | ~ $less(X143,X142)
        | ~ $less(b(X142),4)
        | ( X141 = X142 )
        | ( 2 != b(X140) )
        | ( X141 = X143 )
        | ( 10 != a(X143) )
        | ( X140 = X141 )
        | ~ $less(b(X141),4)
        | ~ $less(b(X143),3)
        | ( X140 = X142 )
        | ( 8 != a(X141) ) )
    & ( z1 != z4 )
    & ! [X270: $int,X269: $int,X267: $int,X268: $int] :
        ( ~ $less(X269,X268)
        | ( X267 = X270 )
        | ( X269 = X270 )
        | ( X267 = X268 )
        | ( 10 != a(X269) )
        | ( X267 = X269 )
        | ~ $less(b(X269),3)
        | ( 5 != a(X270) )
        | ( X268 = X270 )
        | ( X268 = X269 )
        | ( 5 != b(X268) )
        | ( 2 != a(X267) )
        | ( 7 != a(X268) ) )
    & ! [X90: $int,X89: $int,X88: $int] :
        ( ~ $less(X90,X89)
        | ( X88 = X90 )
        | ( 4 != a(X89) )
        | ( 7 != a(X88) )
        | ( 2 != b(X90) )
        | ( 10 != a(X90) )
        | ( 5 != b(X89) )
        | ( X89 = X90 )
        | ( X88 = X89 ) )
    & ( z4 != z5 )
    & ! [X72: $int,X73: $int,X74: $int] :
        ( ( X72 = X74 )
        | ( 10 != a(X73) )
        | ( X72 = X73 )
        | ~ $less(X73,X72)
        | ( 4 != a(X74) )
        | ( X73 = X74 )
        | ( 2 != b(X73) )
        | ( 5 != b(X72) )
        | ( 4 != a(X72) ) )
    & ! [X123: $int,X124: $int,X122: $int] :
        ( ( X122 = X124 )
        | ( 5 != a(X122) )
        | ( 6 != a(X124) )
        | ( X122 = X123 )
        | ( 2 != b(X123) )
        | ~ $less(X123,X122)
        | ( X123 = X124 )
        | ( 5 != b(X122) )
        | ( 10 != a(X123) ) )
    & ! [X246: $int,X244: $int,X245: $int] :
        ( ( 5 != b(X246) )
        | ( X245 = X246 )
        | ( X244 = X246 )
        | ( 10 != a(X244) )
        | ~ $less(X244,X246)
        | ( X244 = X245 )
        | ( 4 != a(X245) )
        | ( 5 != a(X246) )
        | ( 2 != b(X244) ) )
    & ! [X296: $int,X295: $int] :
        ( ( 10 != a(X295) )
        | ~ $less(b(X295),3)
        | ( X295 = X296 )
        | ~ $less(X295,X296)
        | ( 8 != a(X296) ) )
    & ! [X14: $int,X13: $int,X12: $int] :
        ( ~ $less(b(X12),3)
        | ( X12 = X13 )
        | ( 10 != a(X12) )
        | ( X12 = X14 )
        | ~ $less(X12,X14)
        | ( X13 = X14 )
        | ( 5 != b(X14) )
        | ( 1 != a(X14) )
        | ( 2 != b(X13) )
        | ( 7 != a(X13) ) )
    & ! [X235: $int,X233: $int,X234: $int,X236: $int] :
        ( ( X233 = X236 )
        | ( X235 = X236 )
        | ( X234 = X236 )
        | ( X233 = X234 )
        | ( 8 != a(X233) )
        | ( 2 != a(X236) )
        | ( 4 != a(X235) )
        | ( X234 = X235 )
        | ( X233 = X235 )
        | ~ $less(X234,X235)
        | ( 10 != a(X234) )
        | ~ $less(b(X234),3) )
    & ! [X231: $int,X229: $int,X230: $int,X232: $int] :
        ( ~ $less(b(X232),3)
        | ( X229 = X231 )
        | ( 10 != a(X232) )
        | ( X230 = X231 )
        | ( X229 = X232 )
        | ~ $less(X232,X229)
        | ( 5 != b(X230) )
        | ( X231 = X232 )
        | ( 4 != a(X229) )
        | ( X229 = X230 )
        | ( X230 = X232 )
        | ( 2 != b(X231) )
        | ( 7 != a(X231) ) )
    & ( z1 != z2 )
    & ! [X96: $int,X94: $int,X95: $int] :
        ( ( 4 != a(X94) )
        | ( 5 != b(X94) )
        | ( 10 != a(X95) )
        | ~ $less(X95,X94)
        | ( X94 = X95 )
        | ( X94 = X96 )
        | ( 5 != a(X96) )
        | ( 2 != b(X95) )
        | ( X95 = X96 ) )
    & ! [X249: $int,X250: $int,X248: $int,X247: $int] :
        ( ~ $less(b(X249),3)
        | ( 5 != b(X250) )
        | ( X247 = X249 )
        | ( X248 = X250 )
        | ( 2 != a(X250) )
        | ~ $less(X249,X248)
        | ( X247 = X250 )
        | ( 10 != a(X249) )
        | ( 7 != a(X247) )
        | ( 5 != a(X248) )
        | ( X247 = X248 )
        | ( X249 = X250 )
        | ( X248 = X249 ) )
    & ! [X284: $int,X285: $int,X286: $int] :
        ( ( X284 = X286 )
        | ~ $less(X285,X286)
        | ( 12 != a(X286) )
        | ( X284 = X285 )
        | ( 2 != b(X285) )
        | ( 10 != a(X285) )
        | ( 6 != a(X284) )
        | ( 5 != b(X286) )
        | ( X285 = X286 ) )
    & ! [X45: $int,X46: $int,X44: $int] :
        ( ~ $less(b(X45),3)
        | ( X45 = X46 )
        | ( 5 != b(X46) )
        | ~ $less(X45,X46)
        | ( 7 != a(X44) )
        | ( X44 = X45 )
        | ( 10 != a(X45) )
        | ( 2 != b(X44) )
        | ( X44 = X46 )
        | ( 12 != a(X46) ) )
    & ! [X274: $int,X272: $int,X271: $int,X273: $int] :
        ( ~ $less(X271,X273)
        | ( X273 = X274 )
        | ( X271 = X272 )
        | ( 7 != a(X272) )
        | ( X272 = X274 )
        | ( 1 != a(X273) )
        | ( 10 != a(X271) )
        | ( X272 = X273 )
        | ~ $less(b(X271),3)
        | ( X271 = X273 )
        | ( 2 != b(X272) )
        | ( X271 = X274 )
        | ( 5 != b(X274) ) )
    & ( z1 != z5 )
    & ( z1 != z3 )
    & ! [X126: $int,X127: $int,X125: $int] :
        ( ( X126 = X127 )
        | ~ $less(X127,X125)
        | ( 12 != a(X125) )
        | ~ $less(b(X127),3)
        | ( 2 != b(X126) )
        | ( 10 != a(X127) )
        | ( 8 != a(X126) )
        | ( X125 = X126 )
        | ( X125 = X127 ) )
    & ! [X112: $int,X113: $int,X111: $int,X114: $int] :
        ( ~ $less(b(X113),3)
        | ( X111 = X112 )
        | ( X111 = X113 )
        | ( 1 != a(X111) )
        | ~ $less(X113,X112)
        | ( 5 != b(X114) )
        | ( X111 = X114 )
        | ( 10 != a(X113) )
        | ( X112 = X113 )
        | ( X113 = X114 )
        | ( 4 != a(X112) )
        | ( X112 = X114 ) )
    & ! [X81: $int,X83: $int,X84: $int,X82: $int] :
        ( ( X83 = X84 )
        | ( 7 != a(X83) )
        | ( 5 != a(X82) )
        | ( X82 = X84 )
        | ( X81 = X84 )
        | ~ $less(X84,X83)
        | ( X82 = X83 )
        | ~ $less(b(X84),3)
        | ( X81 = X83 )
        | ( 5 != b(X83) )
        | ( X81 = X82 )
        | ( 2 != b(X81) )
        | ( 10 != a(X84) ) )
    & ! [X91: $int,X92: $int,X93: $int] :
        ( ( X91 = X92 )
        | ( 10 != a(X91) )
        | ~ $less(b(X93),4)
        | ( X92 = X93 )
        | ( 5 != b(X92) )
        | ~ $less(X91,X92)
        | ( 2 != b(X91) )
        | ( 12 != a(X92) )
        | ( X91 = X93 )
        | ( 7 != a(X93) ) )
    & ! [X134: $int,X136: $int,X135: $int] :
        ( ( X135 = X136 )
        | ( 4 != a(X136) )
        | ( 10 != a(X135) )
        | ( 2 != b(X135) )
        | ( X134 = X135 )
        | ( 5 != b(X134) )
        | ( X134 = X136 )
        | ~ $less(X135,X136) )
    & ( z3 != z5 )
    & ! [X128: $int,X129: $int,X130: $int] :
        ( ( 2 != b(X129) )
        | ( 10 != a(X128) )
        | ( 8 != a(X129) )
        | ~ $less(X128,X130)
        | ~ $less(b(X128),3)
        | ( X128 = X130 )
        | ( X129 = X130 )
        | ( X128 = X129 )
        | ( 2 != a(X130) ) )
    & ! [X163: $int,X165: $int,X166: $int,X164: $int] :
        ( ( 5 != a(X163) )
        | ( X165 = X166 )
        | ( 2 != b(X163) )
        | ( X163 = X165 )
        | ( X163 = X164 )
        | ( X163 = X166 )
        | ( 2 != b(X166) )
        | ( X164 = X166 )
        | ~ $less(X164,X165)
        | ( 10 != a(X164) )
        | ~ $less(b(X164),3)
        | ( X164 = X165 )
        | ( 5 != b(X165) )
        | ( 5 != a(X165) ) )
    & ! [X192: $int,X193: $int,X194: $int] :
        ( ( X192 = X193 )
        | ~ $less(X192,X194)
        | ( 2 != b(X193) )
        | ( 5 != b(X194) )
        | ( 7 != a(X193) )
        | ( 4 != a(X194) )
        | ~ $less(b(X192),3)
        | ( X192 = X194 )
        | ( X193 = X194 )
        | ( 10 != a(X192) ) )
    & ! [X252: $int,X251: $int,X253: $int] :
        ( ~ $less(X251,X252)
        | ( 2 != b(X251) )
        | ( 10 != a(X251) )
        | ( X251 = X252 )
        | ( X252 = X253 )
        | ( 5 != b(X252) )
        | ( 5 != a(X253) )
        | ( 2 != a(X252) )
        | ( X251 = X253 ) )
    & ( 5 = b(z1) )
    & ! [X237: $int,X239: $int,X238: $int,X240: $int] :
        ( ~ $less(X237,X239)
        | ( 5 != b(X240) )
        | ( X237 = X239 )
        | ( 2 != a(X239) )
        | ~ $less(b(X238),4)
        | ( X239 = X240 )
        | ( X238 = X239 )
        | ( X238 = X240 )
        | ( 10 != a(X237) )
        | ( 7 != a(X238) )
        | ( X237 = X240 )
        | ( 2 != b(X237) )
        | ( X237 = X238 ) )
    & ! [X298: $int,X297: $int,X299: $int] :
        ( ( 2 != a(X298) )
        | ( X298 = X299 )
        | ~ $less(X297,X298)
        | ~ $less(b(X299),4)
        | ( 2 != b(X297) )
        | ( X297 = X299 )
        | ( 8 != a(X299) )
        | ( 10 != a(X297) )
        | ( X297 = X298 ) )
    & ! [X219: $int,X221: $int,X222: $int,X220: $int] :
        ( ( X219 = X222 )
        | ( X220 = X222 )
        | ( 6 != a(X220) )
        | ( X219 = X221 )
        | ( 5 != b(X221) )
        | ( 5 != a(X221) )
        | ( X219 = X220 )
        | ~ $less(X219,X221)
        | ( X221 = X222 )
        | ~ $less(b(X219),3)
        | ( 10 != a(X219) )
        | ( 2 != a(X222) )
        | ( X220 = X221 ) )
    & ( 5 = a(z1) )
    & ! [X104: $int,X106: $int,X105: $int] :
        ( ( 5 != b(X105) )
        | ( X104 = X105 )
        | ( X104 = X106 )
        | ( 6 != a(X106) )
        | ~ $less(X104,X105)
        | ( X105 = X106 )
        | ( 1 != a(X105) )
        | ( 10 != a(X104) )
        | ( 2 != b(X104) ) )
    & ! [X63: $int,X62: $int,X60: $int,X61: $int] :
        ( ( X61 = X63 )
        | ( X61 = X62 )
        | ( X62 = X63 )
        | ~ $less(X61,X63)
        | ~ $less(b(X61),3)
        | ( X60 = X62 )
        | ( 2 != a(X62) )
        | ( 10 != a(X61) )
        | ( 5 != a(X63) )
        | ( X60 = X61 )
        | ( X60 = X63 )
        | ( 8 != a(X60) ) )
    & ! [X110: $int,X109: $int,X107: $int,X108: $int] :
        ( ~ $less(X110,X109)
        | ( 12 != a(X107) )
        | ( 5 != a(X109) )
        | ( X108 = X109 )
        | ~ $less(b(X110),3)
        | ( 5 != b(X108) )
        | ( X107 = X108 )
        | ( 10 != a(X110) )
        | ( X107 = X109 )
        | ( X109 = X110 )
        | ( X107 = X110 )
        | ( X108 = X110 ) )
    & ! [X183: $int,X182: $int,X184: $int] :
        ( ( 4 != a(X183) )
        | ~ $less(X182,X184)
        | ( 5 != b(X184) )
        | ( 6 != a(X184) )
        | ( 2 != b(X182) )
        | ( X182 = X183 )
        | ( 10 != a(X182) )
        | ( X183 = X184 )
        | ( X182 = X184 ) )
    & ! [X191: $int,X188: $int,X189: $int,X190: $int] :
        ( ( X188 = X190 )
        | ( X190 = X191 )
        | ( X188 = X189 )
        | ( 5 != a(X190) )
        | ( X189 = X191 )
        | ( X188 = X191 )
        | ( 2 != a(X191) )
        | ( X189 = X190 )
        | ( 10 != a(X188) )
        | ~ $less(b(X188),3)
        | ( 7 != a(X189) )
        | ~ $less(X188,X190)
        | ( 5 != b(X190) ) )
    & $less(b(z2),3)
    & ! [X171: $int,X170: $int,X173: $int,X172: $int] :
        ( ( X170 = X171 )
        | ( 1 != a(X172) )
        | ~ $less(b(X171),4)
        | ( 2 != b(X173) )
        | ( X172 = X173 )
        | ~ $less(X173,X172)
        | ( 5 != b(X170) )
        | ( X171 = X173 )
        | ( X171 = X172 )
        | ( 7 != a(X171) )
        | ( X170 = X173 )
        | ( 10 != a(X173) )
        | ( X170 = X172 ) )
    & ( 5 = a(z4) )
    & ! [X217: $int,X218: $int] :
        ( ~ $less(b(X218),3)
        | ( 9 != a(X217) )
        | ( 10 != a(X218) )
        | ( X217 = X218 )
        | ~ $less(X218,X217) )
    & ! [X4: $int,X3: $int] :
        ( ( 10 != a(X3) )
        | ( 10 != a(X4) )
        | ( X3 = X4 ) )
    & ! [X201: $int,X199: $int,X200: $int] :
        ( ( X199 = X200 )
        | ( 7 != a(X199) )
        | ( 5 != b(X200) )
        | ( 10 != a(X201) )
        | ( 2 != b(X201) )
        | ( X199 = X201 )
        | ~ $less(b(X199),4)
        | ( X200 = X201 )
        | ( 2 != a(X200) )
        | ~ $less(X201,X200) )
    & ! [X52: $int,X50: $int,X51: $int] :
        ( ~ $less(X51,X52)
        | ( 10 != a(X51) )
        | ~ $less(b(X51),3)
        | ( 1 != a(X52) )
        | ( X50 = X52 )
        | ( X51 = X52 )
        | ( X50 = X51 )
        | ( 2 != b(X50) )
        | ( 8 != a(X50) ) )
    & ! [X275: $int,X277: $int,X276: $int] :
        ( ~ $less(b(X275),3)
        | ( X276 = X277 )
        | ( X275 = X276 )
        | ( 5 != a(X276) )
        | ( 5 != b(X276) )
        | ( 2 != b(X277) )
        | ( 7 != a(X277) )
        | ( X275 = X277 )
        | ( 10 != a(X275) )
        | ~ $less(X275,X276) )
    & ! [X75: $int,X77: $int,X76: $int] :
        ( ( 8 != a(X77) )
        | ( X75 = X77 )
        | ~ $less(X75,X76)
        | ( X76 = X77 )
        | ( 10 != a(X75) )
        | ( 2 != b(X75) )
        | ( X75 = X76 )
        | ( 5 != a(X76) ) )
    & ! [X27: $int,X26: $int,X28: $int,X25: $int] :
        ( ~ $less(X28,X26)
        | ( X26 = X28 )
        | ( X25 = X26 )
        | ( 6 != a(X26) )
        | ( X25 = X27 )
        | ( 5 != a(X27) )
        | ( X26 = X27 )
        | ( 5 != b(X26) )
        | ~ $less(b(X28),3)
        | ( X27 = X28 )
        | ( X25 = X28 )
        | ( 10 != a(X28) )
        | ( 2 != b(X25) ) )
    & ! [X152: $int,X151: $int,X150: $int] :
        ( ( X151 = X152 )
        | ~ $less(b(X150),3)
        | ( X150 = X151 )
        | ( X150 = X152 )
        | ( 7 != a(X151) )
        | ( 6 != a(X152) )
        | ( 10 != a(X150) )
        | ~ $less(X150,X151)
        | ( 5 != b(X151) ) )
    & ! [X137: $int,X138: $int,X139: $int] :
        ( ( X138 = X139 )
        | ( X137 = X139 )
        | ( 5 != a(X139) )
        | ( 2 != b(X138) )
        | ( 7 != a(X137) )
        | ( 10 != a(X138) )
        | ~ $less(X138,X137)
        | ( X137 = X138 )
        | ( 5 != b(X137) ) )
    & ! [X209: $int,X211: $int,X210: $int,X212: $int] :
        ( ( X209 = X210 )
        | ~ $less(b(X212),3)
        | ( 5 != b(X209) )
        | ( X210 = X211 )
        | ( X209 = X211 )
        | ( X211 = X212 )
        | ~ $less(X212,X210)
        | ( X209 = X212 )
        | ( 2 != b(X211) )
        | ( 4 != a(X210) )
        | ( 10 != a(X212) )
        | ( X210 = X212 ) )
    & ! [X215: $int,X214: $int,X216: $int,X213: $int] :
        ( ( 1 != a(X213) )
        | ( X213 = X216 )
        | ( 8 != a(X216) )
        | ( X214 = X215 )
        | ( 5 != a(X214) )
        | ( X213 = X215 )
        | ( X215 = X216 )
        | ( X214 = X216 )
        | ~ $less(b(X215),3)
        | ( 10 != a(X215) )
        | ( X213 = X214 )
        | ~ $less(X215,X214) )
    & ! [X175: $int,X177: $int,X174: $int,X176: $int] :
        ( ( 1 != a(X174) )
        | ~ $less(b(X177),3)
        | ~ $less(X177,X175)
        | ( X175 = X177 )
        | ( X174 = X177 )
        | ( 10 != a(X177) )
        | ( X176 = X177 )
        | ( X174 = X176 )
        | ( X174 = X175 )
        | ( X175 = X176 )
        | ( 5 != b(X176) )
        | ( 5 != a(X175) ) )
    & ! [X42: $int,X43: $int,X41: $int,X40: $int] :
        ( ( X40 = X43 )
        | ( X40 = X41 )
        | ( 2 != b(X42) )
        | ( X40 = X42 )
        | ~ $less(b(X43),3)
        | ( X41 = X43 )
        | ~ $less(X43,X40)
        | ( 5 != b(X41) )
        | ( 5 != a(X40) )
        | ( 10 != a(X43) )
        | ( X42 = X43 )
        | ( X41 = X42 ) )
    & ( z2 != z5 )
    & ! [X6: $int,X7: $int,X5: $int] :
        ( ( 10 != a(X6) )
        | ( 4 != a(X7) )
        | ( 5 != b(X5) )
        | ( X6 = X7 )
        | ( X5 = X7 )
        | ( X5 = X6 )
        | ( 2 != b(X6) )
        | ( 12 != a(X5) )
        | ~ $less(X6,X5) )
    & $less(z2,z1)
    & ! [X0: $int,X2: $int,X1: $int] :
        ( ( 8 != a(X2) )
        | ( X1 = X2 )
        | ( a(X0) != 10 )
        | ( X0 = X2 )
        | ~ $less(b(X0),3)
        | ( X0 = X1 )
        | ~ $less(X0,X1)
        | ( a(X1) != 6 ) )
    & ! [X291: $int] :
        ( ~ $less(12,a(X291))
        & ~ $less(a(X291),1) )
    & ! [X146: $int,X145: $int,X144: $int] :
        ( ~ $less(b(X146),3)
        | ( X145 = X146 )
        | ( X144 = X145 )
        | ( 10 != a(X146) )
        | ( 6 != a(X144) )
        | ( 5 != b(X145) )
        | ( X144 = X146 )
        | ~ $less(X146,X144) )
    & ! [X263: $int,X266: $int,X264: $int,X265: $int] :
        ( ( X264 = X266 )
        | ( X263 = X264 )
        | ( X265 = X266 )
        | ~ $less(X265,X263)
        | ( 3 != a(X263) )
        | ( X263 = X266 )
        | ~ $less(b(X265),3)
        | ( 5 != b(X264) )
        | ~ $less(b(X263),4)
        | ( X263 = X265 )
        | ( 2 != b(X266) )
        | ( 7 != a(X266) )
        | ( 10 != a(X265) )
        | ( X264 = X265 ) )
    & ! [X169: $int,X167: $int,X168: $int] :
        ( ( 5 != b(X168) )
        | ( X167 = X169 )
        | ~ $less(X169,X168)
        | ( 2 != b(X169) )
        | ( X168 = X169 )
        | ( 2 != a(X168) )
        | ( X167 = X168 )
        | ( 6 != a(X167) )
        | ( 10 != a(X169) ) )
    & ! [X24: $int,X23: $int,X22: $int] :
        ( ( 10 != a(X23) )
        | ( X23 = X24 )
        | ( 5 != b(X24) )
        | ~ $less(X23,X24)
        | ( X22 = X24 )
        | ( 5 != a(X22) )
        | ( 2 != b(X23) )
        | ( X22 = X23 )
        | ( 6 != a(X24) ) )
    & ! [X117: $int,X118: $int,X116: $int,X115: $int] :
        ( ( 5 != b(X115) )
        | ( X116 = X118 )
        | ( 5 != a(X115) )
        | ( X115 = X118 )
        | ( 2 != b(X116) )
        | ( X117 = X118 )
        | ( 5 != a(X118) )
        | ( X115 = X117 )
        | ( X115 = X116 )
        | ( X116 = X117 )
        | ~ $less(b(X117),3)
        | ( 10 != a(X117) )
        | ~ $less(X117,X115) )
    & ! [X55: $int,X53: $int,X54: $int] :
        ( ( X54 = X55 )
        | ( 2 != b(X54) )
        | ( 5 != b(X55) )
        | ( 5 != a(X53) )
        | ( 10 != a(X54) )
        | ( 12 != a(X55) )
        | ~ $less(X54,X55)
        | ( X53 = X54 )
        | ( X53 = X55 ) )
    & ! [X49: $int,X48: $int,X47: $int] :
        ( ( X47 = X48 )
        | ( X48 = X49 )
        | ( 7 != a(X47) )
        | ~ $less(b(X48),3)
        | ( 5 != b(X49) )
        | ( X47 = X49 )
        | ( 10 != a(X48) )
        | ~ $less(X48,X47) )
    & ! [X131: $int,X132: $int,X133: $int] :
        ( ( 4 != a(X132) )
        | ( 10 != a(X131) )
        | ( 2 != b(X131) )
        | ~ $less(X131,X133)
        | ( 2 != a(X133) )
        | ( X131 = X133 )
        | ( X131 = X132 )
        | ( 5 != b(X133) )
        | ( X132 = X133 ) )
    & ! [X293: $int,X292: $int,X294: $int] :
        ( ( 5 != b(X293) )
        | ( X292 = X293 )
        | ( 7 != a(X294) )
        | ( X293 = X294 )
        | ~ $less(X292,X293)
        | ( 6 != a(X293) )
        | ( X292 = X294 )
        | ~ $less(b(X292),3)
        | ( 10 != a(X292) ) )
    & ! [X208: $int,X206: $int,X207: $int] :
        ( ( 3 != a(X208) )
        | ( 2 != b(X206) )
        | ( 8 != a(X206) )
        | ~ $less(X207,X208)
        | ~ $less(b(X207),3)
        | ( 10 != a(X207) )
        | ( X206 = X208 )
        | ( X207 = X208 )
        | ~ $less(b(X208),4)
        | ( X206 = X207 ) )
    & ! [X257: $int,X258: $int,X259: $int] :
        ( ( X258 = X259 )
        | ( 5 != b(X257) )
        | ( X257 = X259 )
        | ~ $less(X258,X257)
        | ( 7 != a(X259) )
        | ~ $less(b(X258),3)
        | ( 10 != a(X258) )
        | ( 7 != a(X257) )
        | ( X257 = X258 ) )
    & ! [X102: $int,X101: $int,X103: $int] :
        ( ( X102 = X103 )
        | ( 2 != b(X103) )
        | ( X101 = X103 )
        | ( 5 != b(X101) )
        | ( 7 != a(X102) )
        | ( X101 = X102 )
        | ( 5 != a(X101) )
        | ( 10 != a(X103) )
        | ~ $less(X103,X101) )
    & ! [X242: $int,X241: $int,X243: $int] :
        ( ( X241 = X242 )
        | ( X242 = X243 )
        | ( 6 != a(X242) )
        | ( 4 != a(X241) )
        | ( 10 != a(X243) )
        | ( 5 != b(X241) )
        | ( 2 != b(X243) )
        | ( X241 = X243 )
        | ~ $less(X243,X241) )
    & ! [X289: $int,X288: $int,X287: $int,X290: $int] :
        ( ~ $less(X290,X288)
        | ( X287 = X290 )
        | ( X289 = X290 )
        | ( X287 = X289 )
        | ( 8 != a(X287) )
        | ( 10 != a(X290) )
        | ( X288 = X289 )
        | ( 5 != a(X288) )
        | ~ $less(b(X290),3)
        | ( 2 != b(X289) )
        | ( X287 = X288 )
        | ( X288 = X290 ) )
    & ! [X20: $int,X21: $int,X19: $int] :
        ( ~ $less(X21,X19)
        | ( 2 != b(X21) )
        | ( X19 = X21 )
        | ( X19 = X20 )
        | ( 5 != b(X19) )
        | ( 10 != a(X21) )
        | ( X20 = X21 )
        | ( 1 != a(X19) )
        | ( 5 != a(X20) ) )
    & ! [X261: $int,X262: $int,X260: $int] :
        ( ~ $less(X260,X262)
        | ( 2 != b(X261) )
        | ( 10 != a(X260) )
        | ( X260 = X261 )
        | ( X260 = X262 )
        | ( 4 != a(X262) )
        | ( X261 = X262 )
        | ~ $less(b(X260),3)
        | ( 8 != a(X261) ) )
    & ( z2 != z3 )
    & ( 2 = b(z3) )
    & ! [X280: $int,X279: $int,X278: $int] :
        ( ( 2 != b(X279) )
        | ( 5 != a(X278) )
        | ( X278 = X280 )
        | ( 10 != a(X279) )
        | ( 5 != a(X280) )
        | ( X278 = X279 )
        | ( 5 != b(X280) )
        | ~ $less(X279,X280)
        | ( X279 = X280 ) )
    & ! [X71: $int] :
        ( ~ $less(5,b(X71))
        & ~ $less(b(X71),1) )
    & ! [X204: $int,X205: $int,X202: $int,X203: $int] :
        ( ( X202 = X204 )
        | ( X202 = X203 )
        | ( X203 = X204 )
        | ( 8 != a(X203) )
        | ( 2 != b(X202) )
        | ( X203 = X205 )
        | ( X202 = X205 )
        | ( 4 != a(X204) )
        | ( 10 != a(X205) )
        | ~ $less(b(X205),3)
        | ~ $less(X205,X204)
        | ( X204 = X205 ) )
    & ! [X15: $int,X16: $int,X18: $int,X17: $int] :
        ( ~ $less(b(X15),3)
        | ( X16 = X17 )
        | ~ $less(X15,X16)
        | ( 10 != a(X15) )
        | ( X16 = X18 )
        | ( 7 != a(X17) )
        | ( X15 = X16 )
        | ( 5 != b(X18) )
        | ( X17 = X18 )
        | ( X15 = X17 )
        | ( X15 = X18 )
        | ( 2 != b(X17) )
        | ( 2 != a(X16) ) )
    & ! [X100: $int,X97: $int,X98: $int,X99: $int] :
        ( ( X98 = X99 )
        | ( 10 != a(X99) )
        | ( 7 != a(X98) )
        | ( X99 = X100 )
        | ~ $less(X99,X97)
        | ( X97 = X98 )
        | ( X97 = X100 )
        | ( 5 != b(X97) )
        | ( X98 = X100 )
        | ( 5 != a(X97) )
        | ( 2 != b(X100) )
        | ( X97 = X99 )
        | ~ $less(b(X99),3) )
    & ! [X38: $int,X36: $int,X37: $int,X39: $int] :
        ( ( X37 = X38 )
        | ~ $less(b(X38),3)
        | ( 2 != a(X36) )
        | ( 5 != a(X37) )
        | ( 10 != a(X38) )
        | ( X36 = X37 )
        | ~ $less(X38,X37)
        | ( X38 = X39 )
        | ( X37 = X39 )
        | ( X36 = X39 )
        | ( 5 != b(X39) )
        | ( X36 = X38 ) )
    & ( 2 = b(z4) )
    & ! [X120: $int,X121: $int,X119: $int] :
        ( ( X120 = X121 )
        | ( 2 != b(X119) )
        | ( X119 = X120 )
        | ~ $less(b(X120),4)
        | ~ $less(X119,X121)
        | ( X119 = X121 )
        | ( 8 != a(X120) )
        | ( 10 != a(X119) )
        | ( 1 != a(X121) ) )
    & ! [X86: $int,X87: $int,X85: $int] :
        ( ( 7 != a(X87) )
        | ( 10 != a(X85) )
        | ~ $less(b(X87),4)
        | ( X85 = X87 )
        | ( X85 = X86 )
        | ~ $less(X85,X86)
        | ( 1 != a(X86) )
        | ( X86 = X87 )
        | ( 5 != b(X86) )
        | ( 2 != b(X85) ) )
    & ! [X198: $int,X195: $int,X196: $int,X197: $int] :
        ( ~ $less(b(X197),4)
        | ( 2 != b(X195) )
        | ( 3 != a(X197) )
        | ( 10 != a(X195) )
        | ( 7 != a(X196) )
        | ~ $less(b(X196),4)
        | ~ $less(X195,X197)
        | ( X195 = X198 )
        | ( X197 = X198 )
        | ( X195 = X196 )
        | ( 5 != b(X198) )
        | ( X196 = X197 )
        | ( X195 = X197 )
        | ( X196 = X198 ) )
    & ! [X56: $int,X59: $int,X57: $int,X58: $int] :
        ( ( X56 = X57 )
        | ( 10 != a(X57) )
        | ( X57 = X59 )
        | ~ $less(b(X57),3)
        | ( 2 != b(X59) )
        | ~ $less(X57,X56)
        | ( 5 != b(X56) )
        | ( X58 = X59 )
        | ( 7 != a(X58) )
        | ( 4 != a(X56) )
        | ( X56 = X59 )
        | ( X56 = X58 )
        | ( X57 = X58 ) )
    & ! [X34: $int,X35: $int,X33: $int] :
        ( ( 6 != a(X34) )
        | ~ $less(X33,X35)
        | ( X34 = X35 )
        | ( 5 != b(X35) )
        | ( 5 != a(X35) )
        | ( 2 != b(X34) )
        | ( X33 = X35 )
        | ( 10 != a(X33) )
        | ~ $less(b(X33),3)
        | ( X33 = X34 ) )
    & ! [X149: $int,X147: $int,X148: $int] :
        ( ( X147 = X149 )
        | ( X147 = X148 )
        | ( X148 = X149 )
        | ( 10 != a(X147) )
        | ( 3 != a(X148) )
        | ( 8 != a(X149) )
        | ~ $less(b(X148),4)
        | ( 2 != b(X147) )
        | ~ $less(X147,X148)
        | ~ $less(b(X149),4) )
    & ( z2 != z4 )
    & ! [X160: $int,X161: $int,X162: $int] :
        ( ( 4 != a(X162) )
        | ( X161 = X162 )
        | ( X160 = X161 )
        | ~ $less(X161,X162)
        | ( X160 = X162 )
        | ( 10 != a(X161) )
        | ( 2 != b(X161) )
        | ( 8 != a(X160) ) )
    & ! [X178: $int,X179: $int,X181: $int,X180: $int] :
        ( ( 10 != a(X179) )
        | ( 6 != a(X180) )
        | ( 2 != b(X178) )
        | ( X179 = X181 )
        | ( X178 = X180 )
        | ( X178 = X181 )
        | ~ $less(b(X179),3)
        | ~ $less(X179,X181)
        | ( X180 = X181 )
        | ( X178 = X179 )
        | ( 5 != b(X181) )
        | ( 5 != a(X181) )
        | ( X179 = X180 ) )
    & ! [X187: $int,X186: $int,X185: $int] :
        ( ( 10 != a(X185) )
        | ~ $less(b(X185),3)
        | ( 6 != a(X186) )
        | ( X185 = X187 )
        | ( X186 = X187 )
        | ( X185 = X186 )
        | ( 5 != b(X187) )
        | ( 6 != a(X187) )
        | ~ $less(X185,X187) )
    & ( z3 != z4 )
    & ! [X153: $int,X154: $int,X155: $int] :
        ( ( 10 != a(X155) )
        | ( 5 != a(X153) )
        | ( 2 != b(X154) )
        | ( X153 = X155 )
        | ( X153 = X154 )
        | ~ $less(X155,X153)
        | ( X154 = X155 )
        | ( 8 != a(X154) )
        | ~ $less(b(X155),3) ) ),
    inference(flattening,[],[f6]) ).

tff(f6,plain,
    ( ( 5 = b(z1) )
    & ( 5 = a(z4) )
    & $less(z2,z1)
    & ( 2 = b(z4) )
    & ( 10 = a(z2) )
    & $less(b(z2),3)
    & ( 5 = a(z1) )
    & ( 2 = b(z3) )
    & ( 6 = a(z3) )
    & ! [X146: $int,X145: $int,X144: $int] :
        ( ~ $less(b(X146),3)
        | ( X145 = X146 )
        | ( X144 = X145 )
        | ( 10 != a(X146) )
        | ( 6 != a(X144) )
        | ( 5 != b(X145) )
        | ( X144 = X146 )
        | ~ $less(X146,X144) )
    & ! [X291: $int] :
        ( ~ $less(12,a(X291))
        & ~ $less(a(X291),1) )
    & ! [X126: $int,X127: $int,X125: $int] :
        ( ( X126 = X127 )
        | ~ $less(X127,X125)
        | ( 12 != a(X125) )
        | ~ $less(b(X127),3)
        | ( 2 != b(X126) )
        | ( 10 != a(X127) )
        | ( 8 != a(X126) )
        | ( X125 = X126 )
        | ( X125 = X127 ) )
    & ! [X192: $int,X193: $int,X194: $int] :
        ( ( X192 = X193 )
        | ~ $less(X192,X194)
        | ( 2 != b(X193) )
        | ( 5 != b(X194) )
        | ( 7 != a(X193) )
        | ( 4 != a(X194) )
        | ~ $less(b(X192),3)
        | ( X192 = X194 )
        | ( X193 = X194 )
        | ( 10 != a(X192) ) )
    & ( z4 != z5 )
    & ! [X27: $int,X26: $int,X28: $int,X25: $int] :
        ( ~ $less(X28,X26)
        | ( X26 = X28 )
        | ( X25 = X26 )
        | ( 6 != a(X26) )
        | ( X25 = X27 )
        | ( 5 != a(X27) )
        | ( X26 = X27 )
        | ( 5 != b(X26) )
        | ~ $less(b(X28),3)
        | ( X27 = X28 )
        | ( X25 = X28 )
        | ( 10 != a(X28) )
        | ( 2 != b(X25) ) )
    & ( z2 != z5 )
    & ! [X169: $int,X167: $int,X168: $int] :
        ( ( 5 != b(X168) )
        | ( X167 = X169 )
        | ~ $less(X169,X168)
        | ( 2 != b(X169) )
        | ( X168 = X169 )
        | ( 2 != a(X168) )
        | ( X167 = X168 )
        | ( 6 != a(X167) )
        | ( 10 != a(X169) ) )
    & ! [X298: $int,X297: $int,X299: $int] :
        ( ( 2 != a(X298) )
        | ( X298 = X299 )
        | ~ $less(X297,X298)
        | ~ $less(b(X299),4)
        | ( 2 != b(X297) )
        | ( X297 = X299 )
        | ( 8 != a(X299) )
        | ( 10 != a(X297) )
        | ( X297 = X298 ) )
    & ! [X128: $int,X129: $int,X130: $int] :
        ( ( 2 != b(X129) )
        | ( 10 != a(X128) )
        | ( 8 != a(X129) )
        | ~ $less(X128,X130)
        | ~ $less(b(X128),3)
        | ( X128 = X130 )
        | ( X129 = X130 )
        | ( X128 = X129 )
        | ( 2 != a(X130) ) )
    & ! [X149: $int,X147: $int,X148: $int] :
        ( ( X147 = X149 )
        | ( X147 = X148 )
        | ( X148 = X149 )
        | ( 10 != a(X147) )
        | ( 3 != a(X148) )
        | ( 8 != a(X149) )
        | ~ $less(b(X148),4)
        | ( 2 != b(X147) )
        | ~ $less(X147,X148)
        | ~ $less(b(X149),4) )
    & ! [X175: $int,X177: $int,X174: $int,X176: $int] :
        ( ( 1 != a(X174) )
        | ~ $less(b(X177),3)
        | ~ $less(X177,X175)
        | ( X175 = X177 )
        | ( X174 = X177 )
        | ( 10 != a(X177) )
        | ( X176 = X177 )
        | ( X174 = X176 )
        | ( X174 = X175 )
        | ( X175 = X176 )
        | ( 5 != b(X176) )
        | ( 5 != a(X175) ) )
    & ! [X152: $int,X151: $int,X150: $int] :
        ( ( X151 = X152 )
        | ~ $less(b(X150),3)
        | ( X150 = X151 )
        | ( X150 = X152 )
        | ( 7 != a(X151) )
        | ( 6 != a(X152) )
        | ( 10 != a(X150) )
        | ~ $less(X150,X151)
        | ( 5 != b(X151) ) )
    & ! [X187: $int,X186: $int,X185: $int] :
        ( ( 10 != a(X185) )
        | ~ $less(b(X185),3)
        | ( 6 != a(X186) )
        | ( X185 = X187 )
        | ( X186 = X187 )
        | ( X185 = X186 )
        | ( 5 != b(X187) )
        | ( 6 != a(X187) )
        | ~ $less(X185,X187) )
    & ! [X38: $int,X36: $int,X37: $int,X39: $int] :
        ( ( X37 = X38 )
        | ~ $less(b(X38),3)
        | ( 2 != a(X36) )
        | ( 5 != a(X37) )
        | ( 10 != a(X38) )
        | ( X36 = X37 )
        | ~ $less(X38,X37)
        | ( X38 = X39 )
        | ( X37 = X39 )
        | ( X36 = X39 )
        | ( 5 != b(X39) )
        | ( X36 = X38 ) )
    & ! [X257: $int,X258: $int,X259: $int] :
        ( ( X258 = X259 )
        | ( 5 != b(X257) )
        | ( X257 = X259 )
        | ~ $less(X258,X257)
        | ( 7 != a(X259) )
        | ~ $less(b(X258),3)
        | ( 10 != a(X258) )
        | ( 7 != a(X257) )
        | ( X257 = X258 ) )
    & ! [X34: $int,X35: $int,X33: $int] :
        ( ( 6 != a(X34) )
        | ~ $less(X33,X35)
        | ( X34 = X35 )
        | ( 5 != b(X35) )
        | ( 5 != a(X35) )
        | ( 2 != b(X34) )
        | ( X33 = X35 )
        | ( 10 != a(X33) )
        | ~ $less(b(X33),3)
        | ( X33 = X34 ) )
    & ! [X261: $int,X262: $int,X260: $int] :
        ( ~ $less(X260,X262)
        | ( 2 != b(X261) )
        | ( 10 != a(X260) )
        | ( X260 = X261 )
        | ( X260 = X262 )
        | ( 4 != a(X262) )
        | ( X261 = X262 )
        | ~ $less(b(X260),3)
        | ( 8 != a(X261) ) )
    & ! [X56: $int,X59: $int,X57: $int,X58: $int] :
        ( ( X56 = X57 )
        | ( 10 != a(X57) )
        | ( X57 = X59 )
        | ~ $less(b(X57),3)
        | ( 2 != b(X59) )
        | ~ $less(X57,X56)
        | ( 5 != b(X56) )
        | ( X58 = X59 )
        | ( 7 != a(X58) )
        | ( 4 != a(X56) )
        | ( X56 = X59 )
        | ( X56 = X58 )
        | ( X57 = X58 ) )
    & ! [X78: $int,X80: $int,X79: $int] :
        ( ( 2 != b(X79) )
        | ( 5 != b(X78) )
        | ( X78 = X79 )
        | ~ $less(X79,X80)
        | ( 10 != a(X79) )
        | ( 5 != a(X80) )
        | ( X79 = X80 )
        | ( X78 = X80 ) )
    & ! [X235: $int,X233: $int,X234: $int,X236: $int] :
        ( ( X233 = X236 )
        | ( X235 = X236 )
        | ( X234 = X236 )
        | ( X233 = X234 )
        | ( 8 != a(X233) )
        | ( 2 != a(X236) )
        | ( 4 != a(X235) )
        | ( X234 = X235 )
        | ( X233 = X235 )
        | ~ $less(X234,X235)
        | ( 10 != a(X234) )
        | ~ $less(b(X234),3) )
    & ! [X100: $int,X97: $int,X98: $int,X99: $int] :
        ( ( X98 = X99 )
        | ( 10 != a(X99) )
        | ( 7 != a(X98) )
        | ( X99 = X100 )
        | ~ $less(X99,X97)
        | ( X97 = X98 )
        | ( X97 = X100 )
        | ( 5 != b(X97) )
        | ( X98 = X100 )
        | ( 5 != a(X97) )
        | ( 2 != b(X100) )
        | ( X97 = X99 )
        | ~ $less(b(X99),3) )
    & ! [X191: $int,X188: $int,X189: $int,X190: $int] :
        ( ( X188 = X190 )
        | ( X190 = X191 )
        | ( X188 = X189 )
        | ( 5 != a(X190) )
        | ( X189 = X191 )
        | ( X188 = X191 )
        | ( 2 != a(X191) )
        | ( X189 = X190 )
        | ( 10 != a(X188) )
        | ~ $less(b(X188),3)
        | ( 7 != a(X189) )
        | ~ $less(X188,X190)
        | ( 5 != b(X190) ) )
    & ! [X153: $int,X154: $int,X155: $int] :
        ( ( 10 != a(X155) )
        | ( 5 != a(X153) )
        | ( 2 != b(X154) )
        | ( X153 = X155 )
        | ( X153 = X154 )
        | ~ $less(X155,X153)
        | ( X154 = X155 )
        | ( 8 != a(X154) )
        | ~ $less(b(X155),3) )
    & ! [X49: $int,X48: $int,X47: $int] :
        ( ( X47 = X48 )
        | ( X48 = X49 )
        | ( 7 != a(X47) )
        | ~ $less(b(X48),3)
        | ( 5 != b(X49) )
        | ( X47 = X49 )
        | ( 10 != a(X48) )
        | ~ $less(X48,X47) )
    & ! [X24: $int,X23: $int,X22: $int] :
        ( ( 10 != a(X23) )
        | ( X23 = X24 )
        | ( 5 != b(X24) )
        | ~ $less(X23,X24)
        | ( X22 = X24 )
        | ( 5 != a(X22) )
        | ( 2 != b(X23) )
        | ( X22 = X23 )
        | ( 6 != a(X24) ) )
    & ( z1 != z4 )
    & ! [X183: $int,X182: $int,X184: $int] :
        ( ( 4 != a(X183) )
        | ~ $less(X182,X184)
        | ( 5 != b(X184) )
        | ( 6 != a(X184) )
        | ( 2 != b(X182) )
        | ( X182 = X183 )
        | ( 10 != a(X182) )
        | ( X183 = X184 )
        | ( X182 = X184 ) )
    & ! [X15: $int,X16: $int,X18: $int,X17: $int] :
        ( ~ $less(b(X15),3)
        | ( X16 = X17 )
        | ~ $less(X15,X16)
        | ( 10 != a(X15) )
        | ( X16 = X18 )
        | ( 7 != a(X17) )
        | ( X15 = X16 )
        | ( 5 != b(X18) )
        | ( X17 = X18 )
        | ( X15 = X17 )
        | ( X15 = X18 )
        | ( 2 != b(X17) )
        | ( 2 != a(X16) ) )
    & ! [X280: $int,X279: $int,X278: $int] :
        ( ( 2 != b(X279) )
        | ( 5 != a(X278) )
        | ( X278 = X280 )
        | ( 10 != a(X279) )
        | ( 5 != a(X280) )
        | ( X278 = X279 )
        | ( 5 != b(X280) )
        | ~ $less(X279,X280)
        | ( X279 = X280 ) )
    & ! [X204: $int,X205: $int,X202: $int,X203: $int] :
        ( ( X202 = X204 )
        | ( X202 = X203 )
        | ( X203 = X204 )
        | ( 8 != a(X203) )
        | ( 2 != b(X202) )
        | ( X203 = X205 )
        | ( X202 = X205 )
        | ( 4 != a(X204) )
        | ( 10 != a(X205) )
        | ~ $less(b(X205),3)
        | ~ $less(X205,X204)
        | ( X204 = X205 ) )
    & ! [X32: $int,X29: $int,X30: $int,X31: $int] :
        ( ( 5 != b(X32) )
        | ( X29 = X30 )
        | ~ $less(X31,X30)
        | ( 2 != a(X29) )
        | ~ $less(b(X31),3)
        | ( X29 = X32 )
        | ( 4 != a(X30) )
        | ( X30 = X31 )
        | ( X30 = X32 )
        | ( 10 != a(X31) )
        | ( X31 = X32 )
        | ( X29 = X31 ) )
    & ! [X9: $int,X10: $int,X8: $int,X11: $int] :
        ( ~ $less(X8,X9)
        | ( 12 != a(X9) )
        | ( 7 != a(X11) )
        | ( 2 != b(X11) )
        | ( X8 = X9 )
        | ( X9 = X10 )
        | ( X10 = X11 )
        | ( 10 != a(X8) )
        | ( X8 = X10 )
        | ( X8 = X11 )
        | ( 5 != b(X10) )
        | ~ $less(b(X8),3)
        | ( X9 = X11 ) )
    & ! [X263: $int,X266: $int,X264: $int,X265: $int] :
        ( ( X264 = X266 )
        | ( X263 = X264 )
        | ( X265 = X266 )
        | ~ $less(X265,X263)
        | ( 3 != a(X263) )
        | ( X263 = X266 )
        | ~ $less(b(X265),3)
        | ( 5 != b(X264) )
        | ~ $less(b(X263),4)
        | ( X263 = X265 )
        | ( 2 != b(X266) )
        | ( 7 != a(X266) )
        | ( 10 != a(X265) )
        | ( X264 = X265 ) )
    & ! [X160: $int,X161: $int,X162: $int] :
        ( ( 4 != a(X162) )
        | ( X161 = X162 )
        | ( X160 = X161 )
        | ~ $less(X161,X162)
        | ( X160 = X162 )
        | ( 10 != a(X161) )
        | ( 2 != b(X161) )
        | ( 8 != a(X160) ) )
    & ( z1 != z2 )
    & ! [X0: $int,X2: $int,X1: $int] :
        ( ( 8 != a(X2) )
        | ( X1 = X2 )
        | ( a(X0) != 10 )
        | ( X0 = X2 )
        | ~ $less(b(X0),3)
        | ( X0 = X1 )
        | ~ $less(X0,X1)
        | ( a(X1) != 6 ) )
    & ! [X158: $int,X159: $int,X156: $int,X157: $int] :
        ( ( 7 != a(X157) )
        | ~ $less(b(X157),4)
        | ( 2 != b(X159) )
        | ( X156 = X157 )
        | ( X158 = X159 )
        | ( X157 = X159 )
        | ( 10 != a(X159) )
        | ( 12 != a(X158) )
        | ( X156 = X158 )
        | ( 5 != b(X156) )
        | ( X156 = X159 )
        | ( X157 = X158 )
        | ~ $less(X159,X158) )
    & ( z3 != z5 )
    & ! [X163: $int,X165: $int,X166: $int,X164: $int] :
        ( ( 5 != a(X163) )
        | ( X165 = X166 )
        | ( 2 != b(X163) )
        | ( X163 = X165 )
        | ( X163 = X164 )
        | ( X163 = X166 )
        | ( 2 != b(X166) )
        | ( X164 = X166 )
        | ~ $less(X164,X165)
        | ( 10 != a(X164) )
        | ~ $less(b(X164),3)
        | ( X164 = X165 )
        | ( 5 != b(X165) )
        | ( 5 != a(X165) ) )
    & ! [X227: $int,X228: $int,X226: $int] :
        ( ( 10 != a(X228) )
        | ( 5 != b(X227) )
        | ( X227 = X228 )
        | ( X226 = X227 )
        | ( 4 != a(X226) )
        | ( 1 != a(X227) )
        | ~ $less(X228,X227)
        | ( 2 != b(X228) )
        | ( X226 = X228 ) )
    & ! [X6: $int,X7: $int,X5: $int] :
        ( ( 10 != a(X6) )
        | ( 4 != a(X7) )
        | ( 5 != b(X5) )
        | ( X6 = X7 )
        | ( X5 = X7 )
        | ( X5 = X6 )
        | ( 2 != b(X6) )
        | ( 12 != a(X5) )
        | ~ $less(X6,X5) )
    & ! [X86: $int,X87: $int,X85: $int] :
        ( ( 7 != a(X87) )
        | ( 10 != a(X85) )
        | ~ $less(b(X87),4)
        | ( X85 = X87 )
        | ( X85 = X86 )
        | ~ $less(X85,X86)
        | ( 1 != a(X86) )
        | ( X86 = X87 )
        | ( 5 != b(X86) )
        | ( 2 != b(X85) ) )
    & ! [X4: $int,X3: $int] :
        ( ( 10 != a(X3) )
        | ( 10 != a(X4) )
        | ( X3 = X4 ) )
    & ! [X67: $int,X64: $int,X66: $int,X65: $int] :
        ( ( 7 != a(X67) )
        | ( X66 = X67 )
        | ~ $less(X65,X67)
        | ( 10 != a(X65) )
        | ~ $less(b(X65),3)
        | ( X64 = X67 )
        | ( 4 != a(X64) )
        | ( X64 = X65 )
        | ( X65 = X66 )
        | ( 2 != b(X66) )
        | ( X64 = X66 )
        | ( 5 != b(X67) )
        | ( X65 = X67 ) )
    & ( z3 != z4 )
    & ! [X252: $int,X251: $int,X253: $int] :
        ( ~ $less(X251,X252)
        | ( 2 != b(X251) )
        | ( 10 != a(X251) )
        | ( X251 = X252 )
        | ( X252 = X253 )
        | ( 5 != b(X252) )
        | ( 5 != a(X253) )
        | ( 2 != a(X252) )
        | ( X251 = X253 ) )
    & ! [X270: $int,X269: $int,X267: $int,X268: $int] :
        ( ~ $less(X269,X268)
        | ( X267 = X270 )
        | ( X269 = X270 )
        | ( X267 = X268 )
        | ( 10 != a(X269) )
        | ( X267 = X269 )
        | ~ $less(b(X269),3)
        | ( 5 != a(X270) )
        | ( X268 = X270 )
        | ( X268 = X269 )
        | ( 5 != b(X268) )
        | ( 2 != a(X267) )
        | ( 7 != a(X268) ) )
    & ! [X141: $int,X140: $int,X142: $int,X143: $int] :
        ( ( X142 = X143 )
        | ( X140 = X143 )
        | ( 3 != a(X142) )
        | ~ $less(X143,X142)
        | ~ $less(b(X142),4)
        | ( X141 = X142 )
        | ( 2 != b(X140) )
        | ( X141 = X143 )
        | ( 10 != a(X143) )
        | ( X140 = X141 )
        | ~ $less(b(X141),4)
        | ~ $less(b(X143),3)
        | ( X140 = X142 )
        | ( 8 != a(X141) ) )
    & ! [X123: $int,X124: $int,X122: $int] :
        ( ( X122 = X124 )
        | ( 5 != a(X122) )
        | ( 6 != a(X124) )
        | ( X122 = X123 )
        | ( 2 != b(X123) )
        | ~ $less(X123,X122)
        | ( X123 = X124 )
        | ( 5 != b(X122) )
        | ( 10 != a(X123) ) )
    & ! [X208: $int,X206: $int,X207: $int] :
        ( ( 3 != a(X208) )
        | ( 2 != b(X206) )
        | ( 8 != a(X206) )
        | ~ $less(X207,X208)
        | ~ $less(b(X207),3)
        | ( 10 != a(X207) )
        | ( X206 = X208 )
        | ( X207 = X208 )
        | ~ $less(b(X208),4)
        | ( X206 = X207 ) )
    & ! [X296: $int,X295: $int] :
        ( ( 10 != a(X295) )
        | ~ $less(b(X295),3)
        | ( X295 = X296 )
        | ~ $less(X295,X296)
        | ( 8 != a(X296) ) )
    & ! [X110: $int,X109: $int,X107: $int,X108: $int] :
        ( ~ $less(X110,X109)
        | ( 12 != a(X107) )
        | ( 5 != a(X109) )
        | ( X108 = X109 )
        | ~ $less(b(X110),3)
        | ( 5 != b(X108) )
        | ( X107 = X108 )
        | ( 10 != a(X110) )
        | ( X107 = X109 )
        | ( X109 = X110 )
        | ( X107 = X110 )
        | ( X108 = X110 ) )
    & ! [X134: $int,X136: $int,X135: $int] :
        ( ( X135 = X136 )
        | ( 4 != a(X136) )
        | ( 10 != a(X135) )
        | ( 2 != b(X135) )
        | ( X134 = X135 )
        | ( 5 != b(X134) )
        | ( X134 = X136 )
        | ~ $less(X135,X136) )
    & ! [X255: $int,X256: $int,X254: $int] :
        ( ( X254 = X256 )
        | ~ $less(b(X256),4)
        | ( X254 = X255 )
        | ( X255 = X256 )
        | ~ $less(X254,X255)
        | ( 2 != b(X254) )
        | ( 10 != a(X254) )
        | ( 8 != a(X256) )
        | ( 12 != a(X255) ) )
    & ! [X209: $int,X211: $int,X210: $int,X212: $int] :
        ( ( X209 = X210 )
        | ~ $less(b(X212),3)
        | ( 5 != b(X209) )
        | ( X210 = X211 )
        | ( X209 = X211 )
        | ( X211 = X212 )
        | ~ $less(X212,X210)
        | ( X209 = X212 )
        | ( 2 != b(X211) )
        | ( 4 != a(X210) )
        | ( 10 != a(X212) )
        | ( X210 = X212 ) )
    & ! [X91: $int,X92: $int,X93: $int] :
        ( ( X91 = X92 )
        | ( 10 != a(X91) )
        | ~ $less(b(X93),4)
        | ( X92 = X93 )
        | ( 5 != b(X92) )
        | ~ $less(X91,X92)
        | ( 2 != b(X91) )
        | ( 12 != a(X92) )
        | ( X91 = X93 )
        | ( 7 != a(X93) ) )
    & ! [X72: $int,X73: $int,X74: $int] :
        ( ( X72 = X74 )
        | ( 10 != a(X73) )
        | ( X72 = X73 )
        | ~ $less(X73,X72)
        | ( 4 != a(X74) )
        | ( X73 = X74 )
        | ( 2 != b(X73) )
        | ( 5 != b(X72) )
        | ( 4 != a(X72) ) )
    & ! [X45: $int,X46: $int,X44: $int] :
        ( ~ $less(b(X45),3)
        | ( X45 = X46 )
        | ( 5 != b(X46) )
        | ~ $less(X45,X46)
        | ( 7 != a(X44) )
        | ( X44 = X45 )
        | ( 10 != a(X45) )
        | ( 2 != b(X44) )
        | ( X44 = X46 )
        | ( 12 != a(X46) ) )
    & ! [X217: $int,X218: $int] :
        ( ~ $less(b(X218),3)
        | ( 9 != a(X217) )
        | ( 10 != a(X218) )
        | ( X217 = X218 )
        | ~ $less(X218,X217) )
    & ! [X120: $int,X121: $int,X119: $int] :
        ( ( X120 = X121 )
        | ( 2 != b(X119) )
        | ( X119 = X120 )
        | ~ $less(b(X120),4)
        | ~ $less(X119,X121)
        | ( X119 = X121 )
        | ( 8 != a(X120) )
        | ( 10 != a(X119) )
        | ( 1 != a(X121) ) )
    & ( z2 != z3 )
    & ! [X171: $int,X170: $int,X173: $int,X172: $int] :
        ( ( X170 = X171 )
        | ( 1 != a(X172) )
        | ~ $less(b(X171),4)
        | ( 2 != b(X173) )
        | ( X172 = X173 )
        | ~ $less(X173,X172)
        | ( 5 != b(X170) )
        | ( X171 = X173 )
        | ( X171 = X172 )
        | ( 7 != a(X171) )
        | ( X170 = X173 )
        | ( 10 != a(X173) )
        | ( X170 = X172 ) )
    & ! [X104: $int,X106: $int,X105: $int] :
        ( ( 5 != b(X105) )
        | ( X104 = X105 )
        | ( X104 = X106 )
        | ( 6 != a(X106) )
        | ~ $less(X104,X105)
        | ( X105 = X106 )
        | ( 1 != a(X105) )
        | ( 10 != a(X104) )
        | ( 2 != b(X104) ) )
    & ! [X219: $int,X221: $int,X222: $int,X220: $int] :
        ( ( X219 = X222 )
        | ( X220 = X222 )
        | ( 6 != a(X220) )
        | ( X219 = X221 )
        | ( 5 != b(X221) )
        | ( 5 != a(X221) )
        | ( X219 = X220 )
        | ~ $less(X219,X221)
        | ( X221 = X222 )
        | ~ $less(b(X219),3)
        | ( 10 != a(X219) )
        | ( 2 != a(X222) )
        | ( X220 = X221 ) )
    & ! [X96: $int,X94: $int,X95: $int] :
        ( ( 4 != a(X94) )
        | ( 5 != b(X94) )
        | ( 10 != a(X95) )
        | ~ $less(X95,X94)
        | ( X94 = X95 )
        | ( X94 = X96 )
        | ( 5 != a(X96) )
        | ( 2 != b(X95) )
        | ( X95 = X96 ) )
    & ( z2 != z4 )
    & ! [X14: $int,X13: $int,X12: $int] :
        ( ~ $less(b(X12),3)
        | ( X12 = X13 )
        | ( 10 != a(X12) )
        | ( X12 = X14 )
        | ~ $less(X12,X14)
        | ( X13 = X14 )
        | ( 5 != b(X14) )
        | ( 1 != a(X14) )
        | ( 2 != b(X13) )
        | ( 7 != a(X13) ) )
    & ! [X231: $int,X229: $int,X230: $int,X232: $int] :
        ( ~ $less(b(X232),3)
        | ( X229 = X231 )
        | ( 10 != a(X232) )
        | ( X230 = X231 )
        | ( X229 = X232 )
        | ~ $less(X232,X229)
        | ( 5 != b(X230) )
        | ( X231 = X232 )
        | ( 4 != a(X229) )
        | ( X229 = X230 )
        | ( X230 = X232 )
        | ( 2 != b(X231) )
        | ( 7 != a(X231) ) )
    & ! [X275: $int,X277: $int,X276: $int] :
        ( ~ $less(b(X275),3)
        | ( X276 = X277 )
        | ( X275 = X276 )
        | ( 5 != a(X276) )
        | ( 5 != b(X276) )
        | ( 2 != b(X277) )
        | ( 7 != a(X277) )
        | ( X275 = X277 )
        | ( 10 != a(X275) )
        | ~ $less(X275,X276) )
    & ! [X178: $int,X179: $int,X181: $int,X180: $int] :
        ( ( 10 != a(X179) )
        | ( 6 != a(X180) )
        | ( 2 != b(X178) )
        | ( X179 = X181 )
        | ( X178 = X180 )
        | ( X178 = X181 )
        | ~ $less(b(X179),3)
        | ~ $less(X179,X181)
        | ( X180 = X181 )
        | ( X178 = X179 )
        | ( 5 != b(X181) )
        | ( 5 != a(X181) )
        | ( X179 = X180 ) )
    & ( z1 != z5 )
    & ! [X90: $int,X89: $int,X88: $int] :
        ( ~ $less(X90,X89)
        | ( X88 = X90 )
        | ( 4 != a(X89) )
        | ( 7 != a(X88) )
        | ( 2 != b(X90) )
        | ( 10 != a(X90) )
        | ( 5 != b(X89) )
        | ( X89 = X90 )
        | ( X88 = X89 ) )
    & ! [X81: $int,X83: $int,X84: $int,X82: $int] :
        ( ( X83 = X84 )
        | ( 7 != a(X83) )
        | ( 5 != a(X82) )
        | ( X82 = X84 )
        | ( X81 = X84 )
        | ~ $less(X84,X83)
        | ( X82 = X83 )
        | ~ $less(b(X84),3)
        | ( X81 = X83 )
        | ( 5 != b(X83) )
        | ( X81 = X82 )
        | ( 2 != b(X81) )
        | ( 10 != a(X84) ) )
    & ! [X198: $int,X195: $int,X196: $int,X197: $int] :
        ( ~ $less(b(X197),4)
        | ( 2 != b(X195) )
        | ( 3 != a(X197) )
        | ( 10 != a(X195) )
        | ( 7 != a(X196) )
        | ~ $less(b(X196),4)
        | ~ $less(X195,X197)
        | ( X195 = X198 )
        | ( X197 = X198 )
        | ( X195 = X196 )
        | ( 5 != b(X198) )
        | ( X196 = X197 )
        | ( X195 = X197 )
        | ( X196 = X198 ) )
    & ! [X131: $int,X132: $int,X133: $int] :
        ( ( 4 != a(X132) )
        | ( 10 != a(X131) )
        | ( 2 != b(X131) )
        | ~ $less(X131,X133)
        | ( 2 != a(X133) )
        | ( X131 = X133 )
        | ( X131 = X132 )
        | ( 5 != b(X133) )
        | ( X132 = X133 ) )
    & ! [X237: $int,X239: $int,X238: $int,X240: $int] :
        ( ~ $less(X237,X239)
        | ( 5 != b(X240) )
        | ( X237 = X239 )
        | ( 2 != a(X239) )
        | ~ $less(b(X238),4)
        | ( X239 = X240 )
        | ( X238 = X239 )
        | ( X238 = X240 )
        | ( 10 != a(X237) )
        | ( 7 != a(X238) )
        | ( X237 = X240 )
        | ( 2 != b(X237) )
        | ( X237 = X238 ) )
    & ! [X246: $int,X244: $int,X245: $int] :
        ( ( 5 != b(X246) )
        | ( X245 = X246 )
        | ( X244 = X246 )
        | ( 10 != a(X244) )
        | ~ $less(X244,X246)
        | ( X244 = X245 )
        | ( 4 != a(X245) )
        | ( 5 != a(X246) )
        | ( 2 != b(X244) ) )
    & ! [X75: $int,X77: $int,X76: $int] :
        ( ( 8 != a(X77) )
        | ( X75 = X77 )
        | ~ $less(X75,X76)
        | ( X76 = X77 )
        | ( 10 != a(X75) )
        | ( 2 != b(X75) )
        | ( X75 = X76 )
        | ( 5 != a(X76) ) )
    & ( z1 != z3 )
    & ! [X274: $int,X272: $int,X271: $int,X273: $int] :
        ( ~ $less(X271,X273)
        | ( X273 = X274 )
        | ( X271 = X272 )
        | ( 7 != a(X272) )
        | ( X272 = X274 )
        | ( 1 != a(X273) )
        | ( 10 != a(X271) )
        | ( X272 = X273 )
        | ~ $less(b(X271),3)
        | ( X271 = X273 )
        | ( 2 != b(X272) )
        | ( X271 = X274 )
        | ( 5 != b(X274) ) )
    & ! [X63: $int,X62: $int,X60: $int,X61: $int] :
        ( ( X61 = X63 )
        | ( X61 = X62 )
        | ( X62 = X63 )
        | ~ $less(X61,X63)
        | ~ $less(b(X61),3)
        | ( X60 = X62 )
        | ( 2 != a(X62) )
        | ( 10 != a(X61) )
        | ( 5 != a(X63) )
        | ( X60 = X61 )
        | ( X60 = X63 )
        | ( 8 != a(X60) ) )
    & ! [X69: $int,X70: $int,X68: $int] :
        ( ( X68 = X69 )
        | ( 10 != a(X69) )
        | ( 2 != b(X69) )
        | ( 7 != a(X68) )
        | ( X68 = X70 )
        | ( 5 != b(X68) )
        | ( X69 = X70 )
        | ( 4 != a(X70) )
        | ~ $less(X69,X68) )
    & ! [X293: $int,X292: $int,X294: $int] :
        ( ( 5 != b(X293) )
        | ( X292 = X293 )
        | ( 7 != a(X294) )
        | ( X293 = X294 )
        | ~ $less(X292,X293)
        | ( 6 != a(X293) )
        | ( X292 = X294 )
        | ~ $less(b(X292),3)
        | ( 10 != a(X292) ) )
    & ! [X242: $int,X241: $int,X243: $int] :
        ( ( X241 = X242 )
        | ( X242 = X243 )
        | ( 6 != a(X242) )
        | ( 4 != a(X241) )
        | ( 10 != a(X243) )
        | ( 5 != b(X241) )
        | ( 2 != b(X243) )
        | ( X241 = X243 )
        | ~ $less(X243,X241) )
    & ! [X52: $int,X50: $int,X51: $int] :
        ( ~ $less(X51,X52)
        | ( 10 != a(X51) )
        | ~ $less(b(X51),3)
        | ( 1 != a(X52) )
        | ( X50 = X52 )
        | ( X51 = X52 )
        | ( X50 = X51 )
        | ( 2 != b(X50) )
        | ( 8 != a(X50) ) )
    & ! [X289: $int,X288: $int,X287: $int,X290: $int] :
        ( ~ $less(X290,X288)
        | ( X287 = X290 )
        | ( X289 = X290 )
        | ( X287 = X289 )
        | ( 8 != a(X287) )
        | ( 10 != a(X290) )
        | ( X288 = X289 )
        | ( 5 != a(X288) )
        | ~ $less(b(X290),3)
        | ( 2 != b(X289) )
        | ( X287 = X288 )
        | ( X288 = X290 ) )
    & ! [X224: $int,X225: $int,X223: $int] :
        ( ( 7 != a(X225) )
        | ~ $less(X223,X225)
        | ( 10 != a(X223) )
        | ( X223 = X224 )
        | ~ $less(b(X223),3)
        | ( X224 = X225 )
        | ( X223 = X225 )
        | ( 8 != a(X224) ) )
    & ! [X249: $int,X250: $int,X248: $int,X247: $int] :
        ( ~ $less(b(X249),3)
        | ( 5 != b(X250) )
        | ( X247 = X249 )
        | ( X248 = X250 )
        | ( 2 != a(X250) )
        | ~ $less(X249,X248)
        | ( X247 = X250 )
        | ( 10 != a(X249) )
        | ( 7 != a(X247) )
        | ( 5 != a(X248) )
        | ( X247 = X248 )
        | ( X249 = X250 )
        | ( X248 = X249 ) )
    & ! [X117: $int,X118: $int,X116: $int,X115: $int] :
        ( ( 5 != b(X115) )
        | ( X116 = X118 )
        | ( 5 != a(X115) )
        | ( X115 = X118 )
        | ( 2 != b(X116) )
        | ( X117 = X118 )
        | ( 5 != a(X118) )
        | ( X115 = X117 )
        | ( X115 = X116 )
        | ( X116 = X117 )
        | ~ $less(b(X117),3)
        | ( 10 != a(X117) )
        | ~ $less(X117,X115) )
    & ! [X102: $int,X101: $int,X103: $int] :
        ( ( X102 = X103 )
        | ( 2 != b(X103) )
        | ( X101 = X103 )
        | ( 5 != b(X101) )
        | ( 7 != a(X102) )
        | ( X101 = X102 )
        | ( 5 != a(X101) )
        | ( 10 != a(X103) )
        | ~ $less(X103,X101) )
    & ! [X284: $int,X285: $int,X286: $int] :
        ( ( X284 = X286 )
        | ~ $less(X285,X286)
        | ( 12 != a(X286) )
        | ( X284 = X285 )
        | ( 2 != b(X285) )
        | ( 10 != a(X285) )
        | ( 6 != a(X284) )
        | ( 5 != b(X286) )
        | ( X285 = X286 ) )
    & ! [X215: $int,X214: $int,X216: $int,X213: $int] :
        ( ( 1 != a(X213) )
        | ( X213 = X216 )
        | ( 8 != a(X216) )
        | ( X214 = X215 )
        | ( 5 != a(X214) )
        | ( X213 = X215 )
        | ( X215 = X216 )
        | ( X214 = X216 )
        | ~ $less(b(X215),3)
        | ( 10 != a(X215) )
        | ( X213 = X214 )
        | ~ $less(X215,X214) )
    & ! [X282: $int,X281: $int,X283: $int] :
        ( ( 5 != b(X283) )
        | ( X281 = X282 )
        | ~ $less(X281,X283)
        | ( X281 = X283 )
        | ( X282 = X283 )
        | ( 2 != a(X283) )
        | ( 7 != a(X282) )
        | ( 10 != a(X281) )
        | ~ $less(b(X281),3)
        | ( 2 != b(X282) ) )
    & ! [X71: $int] :
        ( ~ $less(5,b(X71))
        & ~ $less(b(X71),1) )
    & ! [X42: $int,X43: $int,X41: $int,X40: $int] :
        ( ( X40 = X43 )
        | ( X40 = X41 )
        | ( 2 != b(X42) )
        | ( X40 = X42 )
        | ~ $less(b(X43),3)
        | ( X41 = X43 )
        | ~ $less(X43,X40)
        | ( 5 != b(X41) )
        | ( 5 != a(X40) )
        | ( 10 != a(X43) )
        | ( X42 = X43 )
        | ( X41 = X42 ) )
    & ! [X112: $int,X113: $int,X111: $int,X114: $int] :
        ( ~ $less(b(X113),3)
        | ( X111 = X112 )
        | ( X111 = X113 )
        | ( 1 != a(X111) )
        | ~ $less(X113,X112)
        | ( 5 != b(X114) )
        | ( X111 = X114 )
        | ( 10 != a(X113) )
        | ( X112 = X113 )
        | ( X113 = X114 )
        | ( 4 != a(X112) )
        | ( X112 = X114 ) )
    & ! [X137: $int,X138: $int,X139: $int] :
        ( ( X138 = X139 )
        | ( X137 = X139 )
        | ( 5 != a(X139) )
        | ( 2 != b(X138) )
        | ( 7 != a(X137) )
        | ( 10 != a(X138) )
        | ~ $less(X138,X137)
        | ( X137 = X138 )
        | ( 5 != b(X137) ) )
    & ! [X20: $int,X21: $int,X19: $int] :
        ( ~ $less(X21,X19)
        | ( 2 != b(X21) )
        | ( X19 = X21 )
        | ( X19 = X20 )
        | ( 5 != b(X19) )
        | ( 10 != a(X21) )
        | ( X20 = X21 )
        | ( 1 != a(X19) )
        | ( 5 != a(X20) ) )
    & ! [X55: $int,X53: $int,X54: $int] :
        ( ( X54 = X55 )
        | ( 2 != b(X54) )
        | ( 5 != b(X55) )
        | ( 5 != a(X53) )
        | ( 10 != a(X54) )
        | ( 12 != a(X55) )
        | ~ $less(X54,X55)
        | ( X53 = X54 )
        | ( X53 = X55 ) )
    & ! [X201: $int,X199: $int,X200: $int] :
        ( ( X199 = X200 )
        | ( 7 != a(X199) )
        | ( 5 != b(X200) )
        | ( 10 != a(X201) )
        | ( 2 != b(X201) )
        | ( X199 = X201 )
        | ~ $less(b(X199),4)
        | ( X200 = X201 )
        | ( 2 != a(X200) )
        | ~ $less(X201,X200) ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,plain,
    ~ ( ( ! [X144: $int,X146: $int,X145: $int] :
            ~ ( ( X144 != X146 )
              & ( 6 = a(X144) )
              & ( 10 = a(X146) )
              & ( X144 != X145 )
              & ( X145 != X146 )
              & ( 5 = b(X145) )
              & $less(b(X146),3)
              & $less(X146,X144) )
        & ! [X291: $int] :
            ( ~ $less(12,a(X291))
            & ~ $less(a(X291),1) )
        & ! [X127: $int,X125: $int,X126: $int] :
            ~ ( ( 8 = a(X126) )
              & ( 10 = a(X127) )
              & $less(b(X127),3)
              & ( 2 = b(X126) )
              & ( X126 != X127 )
              & $less(X127,X125)
              & ( X125 != X126 )
              & ( X125 != X127 )
              & ( 12 = a(X125) ) )
        & ! [X194: $int,X193: $int,X192: $int] :
            ~ ( ( X193 != X194 )
              & ( 5 = b(X194) )
              & $less(b(X192),3)
              & ( X192 != X193 )
              & ( 7 = a(X193) )
              & ( 2 = b(X193) )
              & ( 10 = a(X192) )
              & $less(X192,X194)
              & ( 4 = a(X194) )
              & ( X192 != X194 ) )
        & ( z4 != z5 )
        & ! [X27: $int,X28: $int,X26: $int,X25: $int] :
            ~ ( ( X25 != X27 )
              & ( 6 = a(X26) )
              & ( X26 != X27 )
              & ( X27 != X28 )
              & ( 5 = a(X27) )
              & $less(X28,X26)
              & ( 2 = b(X25) )
              & ( X26 != X28 )
              & ( X25 != X26 )
              & $less(b(X28),3)
              & ( X25 != X28 )
              & ( 10 = a(X28) )
              & ( 5 = b(X26) ) )
        & ( z2 != z5 )
        & ! [X167: $int,X169: $int,X168: $int] :
            ~ ( ( X168 != X169 )
              & ( 2 = b(X169) )
              & ( X167 != X168 )
              & ( 10 = a(X169) )
              & ( 6 = a(X167) )
              & ( X167 != X169 )
              & ( 2 = a(X168) )
              & $less(X169,X168)
              & ( 5 = b(X168) ) )
        & ! [X299: $int,X297: $int,X298: $int] :
            ~ ( $less(X297,X298)
              & $less(b(X299),4)
              & ( X298 != X299 )
              & ( 10 = a(X297) )
              & ( X297 != X298 )
              & ( 2 = a(X298) )
              & ( 8 = a(X299) )
              & ( 2 = b(X297) )
              & ( X297 != X299 ) )
        & ! [X129: $int,X128: $int,X130: $int] :
            ~ ( $less(b(X128),3)
              & ( 10 = a(X128) )
              & ( X129 != X130 )
              & ( X128 != X130 )
              & $less(X128,X130)
              & ( 2 = a(X130) )
              & ( X128 != X129 )
              & ( 8 = a(X129) )
              & ( 2 = b(X129) ) )
        & ! [X147: $int,X148: $int,X149: $int] :
            ~ ( ( X147 != X149 )
              & $less(b(X149),4)
              & ( 2 = b(X147) )
              & ( 10 = a(X147) )
              & ( X148 != X149 )
              & ( 8 = a(X149) )
              & $less(b(X148),4)
              & $less(X147,X148)
              & ( X147 != X148 )
              & ( 3 = a(X148) ) )
        & ! [X174: $int,X175: $int,X177: $int,X176: $int] :
            ~ ( ( X174 != X176 )
              & $less(b(X177),3)
              & ( 1 = a(X174) )
              & $less(X177,X175)
              & ( 10 = a(X177) )
              & ( X174 != X175 )
              & ( 5 = a(X175) )
              & ( X175 != X176 )
              & ( 5 = b(X176) )
              & ( X176 != X177 )
              & ( X174 != X177 )
              & ( X175 != X177 ) )
        & ! [X150: $int,X152: $int,X151: $int] :
            ~ ( ( 5 = b(X151) )
              & ( 10 = a(X150) )
              & ( 6 = a(X152) )
              & ( X150 != X152 )
              & $less(b(X150),3)
              & ( 7 = a(X151) )
              & ( X150 != X151 )
              & ( X151 != X152 )
              & $less(X150,X151) )
        & ! [X186: $int,X185: $int,X187: $int] :
            ~ ( $less(X185,X187)
              & ( X185 != X187 )
              & ( 10 = a(X185) )
              & ( X186 != X187 )
              & ( 6 = a(X187) )
              & ( X185 != X186 )
              & $less(b(X185),3)
              & ( 6 = a(X186) )
              & ( 5 = b(X187) ) )
        & ! [X39: $int,X38: $int,X36: $int,X37: $int] :
            ~ ( ( 5 = b(X39) )
              & ( X36 != X37 )
              & $less(X38,X37)
              & ( 5 = a(X37) )
              & ( 2 = a(X36) )
              & $less(b(X38),3)
              & ( X37 != X38 )
              & ( 10 = a(X38) )
              & ( X38 != X39 )
              & ( X36 != X39 )
              & ( X36 != X38 )
              & ( X37 != X39 ) )
        & ! [X258: $int,X259: $int,X257: $int] :
            ~ ( $less(X258,X257)
              & ( 5 = b(X257) )
              & ( X257 != X259 )
              & ( 7 = a(X257) )
              & ( X257 != X258 )
              & ( 10 = a(X258) )
              & ( X258 != X259 )
              & ( 7 = a(X259) )
              & $less(b(X258),3) )
        & ! [X33: $int,X34: $int,X35: $int] :
            ~ ( ( X33 != X34 )
              & ( X34 != X35 )
              & $less(X33,X35)
              & $less(b(X33),3)
              & ( X33 != X35 )
              & ( 2 = b(X34) )
              & ( 10 = a(X33) )
              & ( 6 = a(X34) )
              & ( 5 = a(X35) )
              & ( 5 = b(X35) ) )
        & ! [X261: $int,X262: $int,X260: $int] :
            ~ ( $less(b(X260),3)
              & ( 8 = a(X261) )
              & ( X260 != X262 )
              & ( X260 != X261 )
              & ( 4 = a(X262) )
              & ( X261 != X262 )
              & ( 2 = b(X261) )
              & ( 10 = a(X260) )
              & $less(X260,X262) )
        & ! [X57: $int,X59: $int,X56: $int,X58: $int] :
            ~ ( ( 2 = b(X59) )
              & ( 10 = a(X57) )
              & ( X57 != X59 )
              & ( X56 != X57 )
              & ( X56 != X59 )
              & $less(b(X57),3)
              & ( 4 = a(X56) )
              & ( X56 != X58 )
              & ( 5 = b(X56) )
              & $less(X57,X56)
              & ( 7 = a(X58) )
              & ( X58 != X59 )
              & ( X57 != X58 ) )
        & ! [X80: $int,X78: $int,X79: $int] :
            ~ ( ( 2 = b(X79) )
              & ( 10 = a(X79) )
              & $less(X79,X80)
              & ( 5 = b(X78) )
              & ( X79 != X80 )
              & ( X78 != X79 )
              & ( X78 != X80 )
              & ( 5 = a(X80) ) )
        & ! [X234: $int,X236: $int,X235: $int,X233: $int] :
            ~ ( $less(b(X234),3)
              & ( X234 != X236 )
              & ( 4 = a(X235) )
              & ( X233 != X236 )
              & ( X233 != X235 )
              & $less(X234,X235)
              & ( X234 != X235 )
              & ( 10 = a(X234) )
              & ( 8 = a(X233) )
              & ( X235 != X236 )
              & ( 2 = a(X236) )
              & ( X233 != X234 ) )
        & ! [X100: $int,X98: $int,X99: $int,X97: $int] :
            ~ ( ( 10 = a(X99) )
              & ( X98 != X99 )
              & ( X99 != X100 )
              & ( X97 != X100 )
              & $less(X99,X97)
              & ( 5 = b(X97) )
              & ( X97 != X98 )
              & ( X98 != X100 )
              & $less(b(X99),3)
              & ( 7 = a(X98) )
              & ( 5 = a(X97) )
              & ( X97 != X99 )
              & ( 2 = b(X100) ) )
        & ! [X191: $int,X190: $int,X189: $int,X188: $int] :
            ~ ( $less(X188,X190)
              & ( 2 = a(X191) )
              & $less(b(X188),3)
              & ( X189 != X191 )
              & ( X190 != X191 )
              & ( X188 != X190 )
              & ( X188 != X191 )
              & ( X188 != X189 )
              & ( 10 = a(X188) )
              & ( 5 = b(X190) )
              & ( 5 = a(X190) )
              & ( 7 = a(X189) )
              & ( X189 != X190 ) )
        & ! [X153: $int,X154: $int,X155: $int] :
            ~ ( ( 2 = b(X154) )
              & ( 10 = a(X155) )
              & $less(X155,X153)
              & ( 8 = a(X154) )
              & ( X153 != X155 )
              & $less(b(X155),3)
              & ( 5 = a(X153) )
              & ( X154 != X155 )
              & ( X153 != X154 ) )
        & ! [X49: $int,X48: $int,X47: $int] :
            ~ ( ( 10 = a(X48) )
              & ( X48 != X49 )
              & $less(b(X48),3)
              & ( X47 != X49 )
              & $less(X48,X47)
              & ( 5 = b(X49) )
              & ( 7 = a(X47) )
              & ( X47 != X48 ) )
        & ! [X23: $int,X24: $int,X22: $int] :
            ~ ( ( 5 = a(X22) )
              & ( X22 != X24 )
              & ( 2 = b(X23) )
              & ( X23 != X24 )
              & ( 6 = a(X24) )
              & ( 10 = a(X23) )
              & $less(X23,X24)
              & ( 5 = b(X24) )
              & ( X22 != X23 ) )
        & ( z1 != z4 )
        & ! [X184: $int,X182: $int,X183: $int] :
            ~ ( ( X183 != X184 )
              & ( 2 = b(X182) )
              & $less(X182,X184)
              & ( X182 != X184 )
              & ( 6 = a(X184) )
              & ( 5 = b(X184) )
              & ( X182 != X183 )
              & ( 4 = a(X183) )
              & ( 10 = a(X182) ) )
        & ! [X16: $int,X18: $int,X15: $int,X17: $int] :
            ~ ( ( X15 != X16 )
              & ( 2 = a(X16) )
              & ( X15 != X18 )
              & $less(b(X15),3)
              & ( X16 != X18 )
              & ( X16 != X17 )
              & ( 10 = a(X15) )
              & ( 2 = b(X17) )
              & ( 5 = b(X18) )
              & ( X17 != X18 )
              & $less(X15,X16)
              & ( X15 != X17 )
              & ( 7 = a(X17) ) )
        & ! [X280: $int,X278: $int,X279: $int] :
            ~ ( ( X278 != X279 )
              & ( 2 = b(X279) )
              & ( 5 = b(X280) )
              & ( 5 = a(X278) )
              & ( X279 != X280 )
              & ( 10 = a(X279) )
              & ( X278 != X280 )
              & $less(X279,X280)
              & ( 5 = a(X280) ) )
        & ! [X203: $int,X204: $int,X202: $int,X205: $int] :
            ~ ( ( X202 != X203 )
              & ( 10 = a(X205) )
              & ( X203 != X204 )
              & ( 8 = a(X203) )
              & $less(X205,X204)
              & ( X203 != X205 )
              & ( 2 = b(X202) )
              & ( X202 != X204 )
              & $less(b(X205),3)
              & ( X202 != X205 )
              & ( 4 = a(X204) )
              & ( X204 != X205 ) )
        & ! [X29: $int,X30: $int,X31: $int,X32: $int] :
            ~ ( ( X29 != X31 )
              & ( 5 = b(X32) )
              & ( 4 = a(X30) )
              & ( 2 = a(X29) )
              & ( X30 != X32 )
              & $less(b(X31),3)
              & $less(X31,X30)
              & ( 10 = a(X31) )
              & ( X29 != X30 )
              & ( X29 != X32 )
              & ( X31 != X32 )
              & ( X30 != X31 ) )
        & ! [X9: $int,X8: $int,X10: $int,X11: $int] :
            ~ ( ( 10 = a(X8) )
              & ( 2 = b(X11) )
              & $less(X8,X9)
              & ( X8 != X11 )
              & ( X9 != X11 )
              & ( X8 != X10 )
              & ( 7 = a(X11) )
              & ( 5 = b(X10) )
              & $less(b(X8),3)
              & ( 12 = a(X9) )
              & ( X10 != X11 )
              & ( X9 != X10 )
              & ( X8 != X9 ) )
        & ! [X265: $int,X264: $int,X266: $int,X263: $int] :
            ~ ( ( 5 = b(X264) )
              & ( 2 = b(X266) )
              & ( 3 = a(X263) )
              & ( X264 != X265 )
              & $less(b(X265),3)
              & $less(X265,X263)
              & ( X263 != X264 )
              & ( 10 = a(X265) )
              & ( X263 != X265 )
              & ( X263 != X266 )
              & $less(b(X263),4)
              & ( 7 = a(X266) )
              & ( X265 != X266 )
              & ( X264 != X266 ) )
        & ! [X161: $int,X160: $int,X162: $int] :
            ~ ( ( X160 != X162 )
              & ( 4 = a(X162) )
              & ( 2 = b(X161) )
              & $less(X161,X162)
              & ( 8 = a(X160) )
              & ( X161 != X162 )
              & ( X160 != X161 )
              & ( 10 = a(X161) ) )
        & ( z1 != z2 )
        & ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & $less(X0,X1)
              & ( a(X0) = 10 )
              & ( a(X1) = 6 )
              & ( X0 != X1 )
              & $less(b(X0),3)
              & ( 8 = a(X2) )
              & ( X1 != X2 ) )
        & ! [X159: $int,X156: $int,X158: $int,X157: $int] :
            ~ ( ( X158 != X159 )
              & ( X156 != X158 )
              & ( 7 = a(X157) )
              & $less(b(X157),4)
              & ( 12 = a(X158) )
              & ( 10 = a(X159) )
              & ( X157 != X158 )
              & $less(X159,X158)
              & ( 5 = b(X156) )
              & ( X157 != X159 )
              & ( 2 = b(X159) )
              & ( X156 != X159 )
              & ( X156 != X157 ) )
        & ( z3 != z5 )
        & ! [X163: $int,X164: $int,X165: $int,X166: $int] :
            ~ ( ( 5 = b(X165) )
              & ( X163 != X166 )
              & $less(X164,X165)
              & ( 5 = a(X163) )
              & ( 10 = a(X164) )
              & ( X165 != X166 )
              & ( 2 = b(X166) )
              & $less(b(X164),3)
              & ( X164 != X165 )
              & ( 5 = a(X165) )
              & ( X163 != X164 )
              & ( X164 != X166 )
              & ( 2 = b(X163) )
              & ( X163 != X165 ) )
        & ! [X227: $int,X228: $int,X226: $int] :
            ~ ( ( X226 != X227 )
              & ( X226 != X228 )
              & ( 5 = b(X227) )
              & ( 4 = a(X226) )
              & ( 1 = a(X227) )
              & ( 10 = a(X228) )
              & ( X227 != X228 )
              & ( 2 = b(X228) )
              & $less(X228,X227) )
        & ! [X5: $int,X6: $int,X7: $int] :
            ~ ( ( 10 = a(X6) )
              & $less(X6,X5)
              & ( 4 = a(X7) )
              & ( 5 = b(X5) )
              & ( X5 != X6 )
              & ( 2 = b(X6) )
              & ( X5 != X7 )
              & ( 12 = a(X5) )
              & ( X6 != X7 ) )
        & ! [X85: $int,X86: $int,X87: $int] :
            ~ ( ( X86 != X87 )
              & ( X85 != X86 )
              & ( 1 = a(X86) )
              & ( 7 = a(X87) )
              & ( X85 != X87 )
              & $less(b(X87),4)
              & ( 10 = a(X85) )
              & ( 2 = b(X85) )
              & $less(X85,X86)
              & ( 5 = b(X86) ) )
        & ! [X4: $int,X3: $int] :
            ~ ( ( 10 = a(X4) )
              & ( X3 != X4 )
              & ( 10 = a(X3) ) )
        & ! [X67: $int,X64: $int,X65: $int,X66: $int] :
            ~ ( ( X64 != X67 )
              & $less(X65,X67)
              & ( X64 != X65 )
              & $less(b(X65),3)
              & ( 7 = a(X67) )
              & ( X66 != X67 )
              & ( X65 != X66 )
              & ( 2 = b(X66) )
              & ( X64 != X66 )
              & ( 4 = a(X64) )
              & ( 10 = a(X65) )
              & ( 5 = b(X67) )
              & ( X65 != X67 ) )
        & ( z3 != z4 )
        & ! [X253: $int,X252: $int,X251: $int] :
            ~ ( ( X252 != X253 )
              & ( X251 != X252 )
              & $less(X251,X252)
              & ( 5 = b(X252) )
              & ( 10 = a(X251) )
              & ( 2 = b(X251) )
              & ( 5 = a(X253) )
              & ( 2 = a(X252) )
              & ( X251 != X253 ) )
        & ! [X270: $int,X267: $int,X269: $int,X268: $int] :
            ~ ( ( X269 != X270 )
              & ( 2 = a(X267) )
              & ( 10 = a(X269) )
              & ( X267 != X270 )
              & ( X267 != X269 )
              & ( X267 != X268 )
              & ( X268 != X270 )
              & ( X268 != X269 )
              & ( 5 = b(X268) )
              & $less(b(X269),3)
              & $less(X269,X268)
              & ( 7 = a(X268) )
              & ( 5 = a(X270) ) )
        & ! [X143: $int,X140: $int,X142: $int,X141: $int] :
            ~ ( ( X141 != X143 )
              & ( X140 != X142 )
              & ( 10 = a(X143) )
              & ( X142 != X143 )
              & ( X140 != X143 )
              & $less(b(X142),4)
              & ( 8 = a(X141) )
              & ( X141 != X142 )
              & ( 3 = a(X142) )
              & $less(b(X141),4)
              & $less(X143,X142)
              & ( 2 = b(X140) )
              & ( X140 != X141 )
              & $less(b(X143),3) )
        & ! [X124: $int,X123: $int,X122: $int] :
            ~ ( ( 2 = b(X123) )
              & ( 10 = a(X123) )
              & ( X122 != X124 )
              & $less(X123,X122)
              & ( 5 = b(X122) )
              & ( X122 != X123 )
              & ( 5 = a(X122) )
              & ( X123 != X124 )
              & ( 6 = a(X124) ) )
        & ! [X208: $int,X207: $int,X206: $int] :
            ~ ( $less(b(X208),4)
              & ( X207 != X208 )
              & ( 2 = b(X206) )
              & ( 3 = a(X208) )
              & $less(b(X207),3)
              & $less(X207,X208)
              & ( X206 != X207 )
              & ( 8 = a(X206) )
              & ( 10 = a(X207) )
              & ( X206 != X208 ) )
        & ! [X295: $int,X296: $int] :
            ~ ( ( 10 = a(X295) )
              & ( X295 != X296 )
              & $less(b(X295),3)
              & $less(X295,X296)
              & ( 8 = a(X296) ) )
        & ! [X107: $int,X110: $int,X109: $int,X108: $int] :
            ~ ( ( 5 = a(X109) )
              & ( X109 != X110 )
              & ( X107 != X108 )
              & $less(b(X110),3)
              & ( 10 = a(X110) )
              & ( 12 = a(X107) )
              & ( X108 != X109 )
              & ( 5 = b(X108) )
              & $less(X110,X109)
              & ( X108 != X110 )
              & ( X107 != X109 )
              & ( X107 != X110 ) )
        & ! [X136: $int,X134: $int,X135: $int] :
            ~ ( ( 10 = a(X135) )
              & ( X135 != X136 )
              & ( X134 != X136 )
              & ( 5 = b(X134) )
              & ( 4 = a(X136) )
              & ( 2 = b(X135) )
              & $less(X135,X136)
              & ( X134 != X135 ) )
        & ! [X256: $int,X255: $int,X254: $int] :
            ~ ( ( 8 = a(X256) )
              & ( X254 != X255 )
              & ( 2 = b(X254) )
              & ( X254 != X256 )
              & ( 10 = a(X254) )
              & ( X255 != X256 )
              & ( 12 = a(X255) )
              & $less(b(X256),4)
              & $less(X254,X255) )
        & ! [X210: $int,X211: $int,X212: $int,X209: $int] :
            ~ ( ( 4 = a(X210) )
              & ( 5 = b(X209) )
              & ( X211 != X212 )
              & ( X209 != X210 )
              & ( X210 != X212 )
              & ( X210 != X211 )
              & ( X209 != X211 )
              & ( 10 = a(X212) )
              & $less(X212,X210)
              & $less(b(X212),3)
              & ( X209 != X212 )
              & ( 2 = b(X211) ) )
        & ! [X91: $int,X92: $int,X93: $int] :
            ~ ( $less(b(X93),4)
              & ( 2 = b(X91) )
              & ( X91 != X93 )
              & ( 10 = a(X91) )
              & ( 12 = a(X92) )
              & ( X92 != X93 )
              & ( X91 != X92 )
              & ( 7 = a(X93) )
              & ( 5 = b(X92) )
              & $less(X91,X92) )
        & ! [X73: $int,X72: $int,X74: $int] :
            ~ ( ( 2 = b(X73) )
              & $less(X73,X72)
              & ( 4 = a(X72) )
              & ( 4 = a(X74) )
              & ( X73 != X74 )
              & ( X72 != X73 )
              & ( 5 = b(X72) )
              & ( 10 = a(X73) )
              & ( X72 != X74 ) )
        & ! [X44: $int,X46: $int,X45: $int] :
            ~ ( ( 7 = a(X44) )
              & ( X44 != X45 )
              & ( 2 = b(X44) )
              & ( X45 != X46 )
              & ( X44 != X46 )
              & ( 10 = a(X45) )
              & ( 5 = b(X46) )
              & $less(X45,X46)
              & $less(b(X45),3)
              & ( 12 = a(X46) ) )
        & ! [X218: $int,X217: $int] :
            ~ ( $less(X218,X217)
              & ( X217 != X218 )
              & ( 9 = a(X217) )
              & $less(b(X218),3)
              & ( 10 = a(X218) ) )
        & ! [X119: $int,X120: $int,X121: $int] :
            ~ ( ( X120 != X121 )
              & ( X119 != X120 )
              & $less(b(X120),4)
              & $less(X119,X121)
              & ( 8 = a(X120) )
              & ( X119 != X121 )
              & ( 2 = b(X119) )
              & ( 10 = a(X119) )
              & ( 1 = a(X121) ) )
        & ( z2 != z3 )
        & ! [X173: $int,X171: $int,X172: $int,X170: $int] :
            ~ ( $less(X173,X172)
              & ( 7 = a(X171) )
              & ( X170 != X173 )
              & ( X171 != X173 )
              & ( X170 != X171 )
              & ( 2 = b(X173) )
              & ( 10 = a(X173) )
              & ( X171 != X172 )
              & ( X170 != X172 )
              & $less(b(X171),4)
              & ( 1 = a(X172) )
              & ( 5 = b(X170) )
              & ( X172 != X173 ) )
        & ! [X105: $int,X106: $int,X104: $int] :
            ~ ( ( 6 = a(X106) )
              & $less(X104,X105)
              & ( 1 = a(X105) )
              & ( 2 = b(X104) )
              & ( X105 != X106 )
              & ( 5 = b(X105) )
              & ( X104 != X105 )
              & ( X104 != X106 )
              & ( 10 = a(X104) ) )
        & ! [X219: $int,X220: $int,X222: $int,X221: $int] :
            ~ ( ( X220 != X221 )
              & ( X221 != X222 )
              & ( X220 != X222 )
              & ( 2 = a(X222) )
              & ( X219 != X220 )
              & $less(b(X219),3)
              & $less(X219,X221)
              & ( 6 = a(X220) )
              & ( 10 = a(X219) )
              & ( 5 = b(X221) )
              & ( X219 != X222 )
              & ( 5 = a(X221) )
              & ( X219 != X221 ) )
        & ! [X95: $int,X94: $int,X96: $int] :
            ~ ( ( 2 = b(X95) )
              & ( X94 != X96 )
              & ( 5 = b(X94) )
              & ( 4 = a(X94) )
              & ( X94 != X95 )
              & ( 10 = a(X95) )
              & ( X95 != X96 )
              & $less(X95,X94)
              & ( 5 = a(X96) ) )
        & ( z2 != z4 )
        & ! [X14: $int,X13: $int,X12: $int] :
            ~ ( ( 7 = a(X13) )
              & $less(b(X12),3)
              & ( X13 != X14 )
              & ( X12 != X13 )
              & $less(X12,X14)
              & ( X12 != X14 )
              & ( 10 = a(X12) )
              & ( 2 = b(X13) )
              & ( 5 = b(X14) )
              & ( 1 = a(X14) ) )
        & ! [X230: $int,X231: $int,X229: $int,X232: $int] :
            ~ ( ( 2 = b(X231) )
              & ( X231 != X232 )
              & ( X229 != X232 )
              & ( 7 = a(X231) )
              & ( X229 != X230 )
              & ( X230 != X231 )
              & ( X230 != X232 )
              & ( 5 = b(X230) )
              & $less(b(X232),3)
              & ( X229 != X231 )
              & ( 4 = a(X229) )
              & ( 10 = a(X232) )
              & $less(X232,X229) )
        & ! [X275: $int,X277: $int,X276: $int] :
            ~ ( $less(b(X275),3)
              & ( X275 != X277 )
              & ( 10 = a(X275) )
              & ( X275 != X276 )
              & ( 5 = b(X276) )
              & ( 5 = a(X276) )
              & $less(X275,X276)
              & ( X276 != X277 )
              & ( 7 = a(X277) )
              & ( 2 = b(X277) ) )
        & ! [X178: $int,X180: $int,X179: $int,X181: $int] :
            ~ ( ( 10 = a(X179) )
              & ( X178 != X180 )
              & $less(X179,X181)
              & ( 2 = b(X178) )
              & ( X180 != X181 )
              & ( 6 = a(X180) )
              & ( 5 = b(X181) )
              & ( X178 != X181 )
              & ( 5 = a(X181) )
              & ( X178 != X179 )
              & ( X179 != X180 )
              & ( X179 != X181 )
              & $less(b(X179),3) )
        & ( z1 != z5 )
        & ! [X90: $int,X88: $int,X89: $int] :
            ~ ( ( 5 = b(X89) )
              & ( X88 != X90 )
              & ( 7 = a(X88) )
              & $less(X90,X89)
              & ( 4 = a(X89) )
              & ( X89 != X90 )
              & ( 2 = b(X90) )
              & ( X88 != X89 )
              & ( 10 = a(X90) ) )
        & ! [X81: $int,X84: $int,X82: $int,X83: $int] :
            ~ ( ( X81 != X82 )
              & ( X81 != X84 )
              & ( 10 = a(X84) )
              & $less(b(X84),3)
              & $less(X84,X83)
              & ( 5 = a(X82) )
              & ( X83 != X84 )
              & ( X82 != X83 )
              & ( 2 = b(X81) )
              & ( 7 = a(X83) )
              & ( X82 != X84 )
              & ( X81 != X83 )
              & ( 5 = b(X83) ) )
        & ! [X196: $int,X198: $int,X197: $int,X195: $int] :
            ~ ( $less(b(X197),4)
              & $less(b(X196),4)
              & ( 3 = a(X197) )
              & ( 2 = b(X195) )
              & $less(X195,X197)
              & ( X197 != X198 )
              & ( 5 = b(X198) )
              & ( 7 = a(X196) )
              & ( X195 != X198 )
              & ( X196 != X198 )
              & ( X195 != X196 )
              & ( X195 != X197 )
              & ( 10 = a(X195) )
              & ( X196 != X197 ) )
        & ! [X131: $int,X132: $int,X133: $int] :
            ~ ( ( X131 != X133 )
              & ( 10 = a(X131) )
              & ( 2 = b(X131) )
              & ( 5 = b(X133) )
              & ( X132 != X133 )
              & ( 4 = a(X132) )
              & ( 2 = a(X133) )
              & ( X131 != X132 )
              & $less(X131,X133) )
        & ! [X240: $int,X238: $int,X239: $int,X237: $int] :
            ~ ( ( 10 = a(X237) )
              & ( 2 = b(X237) )
              & ( X238 != X239 )
              & ( X237 != X239 )
              & ( 2 = a(X239) )
              & ( X237 != X238 )
              & ( X239 != X240 )
              & $less(X237,X239)
              & ( 5 = b(X240) )
              & $less(b(X238),4)
              & ( 7 = a(X238) )
              & ( X238 != X240 )
              & ( X237 != X240 ) )
        & ! [X246: $int,X244: $int,X245: $int] :
            ~ ( ( 2 = b(X244) )
              & ( X245 != X246 )
              & ( X244 != X245 )
              & $less(X244,X246)
              & ( 5 = b(X246) )
              & ( 5 = a(X246) )
              & ( 4 = a(X245) )
              & ( X244 != X246 )
              & ( 10 = a(X244) ) )
        & ! [X75: $int,X77: $int,X76: $int] :
            ~ ( ( 10 = a(X75) )
              & $less(X75,X76)
              & ( X75 != X77 )
              & ( 5 = a(X76) )
              & ( X75 != X76 )
              & ( X76 != X77 )
              & ( 8 = a(X77) )
              & ( 2 = b(X75) ) )
        & ( z1 != z3 )
        & ! [X272: $int,X274: $int,X271: $int,X273: $int] :
            ~ ( ( X271 != X272 )
              & ( 1 = a(X273) )
              & $less(X271,X273)
              & $less(b(X271),3)
              & ( 7 = a(X272) )
              & ( X272 != X273 )
              & ( X273 != X274 )
              & ( X272 != X274 )
              & ( 10 = a(X271) )
              & ( 2 = b(X272) )
              & ( X271 != X274 )
              & ( 5 = b(X274) )
              & ( X271 != X273 ) )
        & ! [X62: $int,X60: $int,X63: $int,X61: $int] :
            ~ ( ( X61 != X62 )
              & ( X60 != X63 )
              & ( X61 != X63 )
              & ( 8 = a(X60) )
              & ( X60 != X62 )
              & ( X60 != X61 )
              & ( 2 = a(X62) )
              & $less(X61,X63)
              & $less(b(X61),3)
              & ( 5 = a(X63) )
              & ( 10 = a(X61) )
              & ( X62 != X63 ) )
        & ! [X69: $int,X68: $int,X70: $int] :
            ~ ( ( 5 = b(X68) )
              & $less(X69,X68)
              & ( 7 = a(X68) )
              & ( X68 != X70 )
              & ( 10 = a(X69) )
              & ( 4 = a(X70) )
              & ( X68 != X69 )
              & ( X69 != X70 )
              & ( 2 = b(X69) ) )
        & ! [X293: $int,X292: $int,X294: $int] :
            ~ ( $less(X292,X293)
              & ( 10 = a(X292) )
              & ( 6 = a(X293) )
              & $less(b(X292),3)
              & ( X293 != X294 )
              & ( X292 != X294 )
              & ( 7 = a(X294) )
              & ( X292 != X293 )
              & ( 5 = b(X293) ) )
        & ! [X241: $int,X242: $int,X243: $int] :
            ~ ( ( X241 != X242 )
              & ( X241 != X243 )
              & ( 6 = a(X242) )
              & ( 2 = b(X243) )
              & ( 5 = b(X241) )
              & ( X242 != X243 )
              & ( 4 = a(X241) )
              & $less(X243,X241)
              & ( 10 = a(X243) ) )
        & ! [X50: $int,X51: $int,X52: $int] :
            ~ ( ( 8 = a(X50) )
              & ( 2 = b(X50) )
              & $less(X51,X52)
              & $less(b(X51),3)
              & ( X51 != X52 )
              & ( X50 != X51 )
              & ( 10 = a(X51) )
              & ( 1 = a(X52) )
              & ( X50 != X52 ) )
        & ! [X288: $int,X289: $int,X287: $int,X290: $int] :
            ~ ( ( 8 = a(X287) )
              & $less(b(X290),3)
              & $less(X290,X288)
              & ( 10 = a(X290) )
              & ( 5 = a(X288) )
              & ( X288 != X290 )
              & ( 2 = b(X289) )
              & ( X287 != X290 )
              & ( X289 != X290 )
              & ( X287 != X288 )
              & ( X287 != X289 )
              & ( X288 != X289 ) )
        & ! [X225: $int,X223: $int,X224: $int] :
            ~ ( ( 7 = a(X225) )
              & $less(X223,X225)
              & ( 10 = a(X223) )
              & ( X224 != X225 )
              & ( X223 != X224 )
              & $less(b(X223),3)
              & ( 8 = a(X224) )
              & ( X223 != X225 ) )
        & ! [X249: $int,X250: $int,X248: $int,X247: $int] :
            ~ ( ( X249 != X250 )
              & ( 7 = a(X247) )
              & ( 5 = a(X248) )
              & ( 10 = a(X249) )
              & ( X248 != X250 )
              & ( X247 != X249 )
              & ( 2 = a(X250) )
              & ( X247 != X248 )
              & $less(b(X249),3)
              & ( 5 = b(X250) )
              & ( X248 != X249 )
              & ( X247 != X250 )
              & $less(X249,X248) )
        & ! [X116: $int,X118: $int,X117: $int,X115: $int] :
            ~ ( $less(b(X117),3)
              & ( X116 != X117 )
              & ( 2 = b(X116) )
              & ( X115 != X118 )
              & ( 5 = a(X118) )
              & ( 5 = b(X115) )
              & ( 10 = a(X117) )
              & ( X115 != X117 )
              & ( 5 = a(X115) )
              & ( X117 != X118 )
              & ( X115 != X116 )
              & $less(X117,X115)
              & ( X116 != X118 ) )
        & ! [X103: $int,X101: $int,X102: $int] :
            ~ ( ( X102 != X103 )
              & ( 7 = a(X102) )
              & ( 2 = b(X103) )
              & ( 10 = a(X103) )
              & ( X101 != X103 )
              & ( X101 != X102 )
              & $less(X103,X101)
              & ( 5 = a(X101) )
              & ( 5 = b(X101) ) )
        & ! [X284: $int,X286: $int,X285: $int] :
            ~ ( ( X285 != X286 )
              & ( 10 = a(X285) )
              & ( 5 = b(X286) )
              & $less(X285,X286)
              & ( 2 = b(X285) )
              & ( 6 = a(X284) )
              & ( X284 != X285 )
              & ( 12 = a(X286) )
              & ( X284 != X286 ) )
        & ! [X213: $int,X215: $int,X214: $int,X216: $int] :
            ~ ( ( X214 != X216 )
              & $less(X215,X214)
              & ( 10 = a(X215) )
              & $less(b(X215),3)
              & ( 8 = a(X216) )
              & ( X215 != X216 )
              & ( 1 = a(X213) )
              & ( X213 != X215 )
              & ( X214 != X215 )
              & ( 5 = a(X214) )
              & ( X213 != X216 )
              & ( X213 != X214 ) )
        & ! [X281: $int,X282: $int,X283: $int] :
            ~ ( $less(b(X281),3)
              & ( 7 = a(X282) )
              & ( 2 = a(X283) )
              & ( 10 = a(X281) )
              & $less(X281,X283)
              & ( X282 != X283 )
              & ( 2 = b(X282) )
              & ( X281 != X283 )
              & ( 5 = b(X283) )
              & ( X281 != X282 ) )
        & ! [X71: $int] :
            ( ~ $less(5,b(X71))
            & ~ $less(b(X71),1) )
        & ! [X41: $int,X42: $int,X43: $int,X40: $int] :
            ~ ( $less(X43,X40)
              & ( X41 != X42 )
              & ( X41 != X43 )
              & ( X40 != X41 )
              & ( X42 != X43 )
              & ( X40 != X42 )
              & ( 2 = b(X42) )
              & ( 5 = b(X41) )
              & $less(b(X43),3)
              & ( 5 = a(X40) )
              & ( 10 = a(X43) )
              & ( X40 != X43 ) )
        & ! [X114: $int,X112: $int,X113: $int,X111: $int] :
            ~ ( ( X111 != X113 )
              & ( 4 = a(X112) )
              & ( X113 != X114 )
              & ( 1 = a(X111) )
              & ( 5 = b(X114) )
              & $less(X113,X112)
              & ( X111 != X112 )
              & ( X111 != X114 )
              & ( 10 = a(X113) )
              & $less(b(X113),3)
              & ( X112 != X113 )
              & ( X112 != X114 ) )
        & ! [X137: $int,X139: $int,X138: $int] :
            ~ ( ( 2 = b(X138) )
              & $less(X138,X137)
              & ( 10 = a(X138) )
              & ( 7 = a(X137) )
              & ( X138 != X139 )
              & ( X137 != X139 )
              & ( X137 != X138 )
              & ( 5 = b(X137) )
              & ( 5 = a(X139) ) )
        & ! [X19: $int,X20: $int,X21: $int] :
            ~ ( ( X20 != X21 )
              & ( X19 != X20 )
              & ( 2 = b(X21) )
              & ( 10 = a(X21) )
              & $less(X21,X19)
              & ( X19 != X21 )
              & ( 1 = a(X19) )
              & ( 5 = b(X19) )
              & ( 5 = a(X20) ) )
        & ! [X54: $int,X55: $int,X53: $int] :
            ~ ( ( 10 = a(X54) )
              & ( X54 != X55 )
              & $less(X54,X55)
              & ( 12 = a(X55) )
              & ( X53 != X54 )
              & ( 5 = a(X53) )
              & ( X53 != X55 )
              & ( 5 = b(X55) )
              & ( 2 = b(X54) ) )
        & ! [X200: $int,X201: $int,X199: $int] :
            ~ ( ( 2 = b(X201) )
              & ( 5 = b(X200) )
              & ( X200 != X201 )
              & ( X199 != X201 )
              & ( X199 != X200 )
              & ( 7 = a(X199) )
              & ( 2 = a(X200) )
              & ( 10 = a(X201) )
              & $less(b(X199),4)
              & $less(X201,X200) ) )
     => ~ ( ( 5 = b(z1) )
          & ( 5 = a(z4) )
          & $less(z2,z1)
          & ( 2 = b(z4) )
          & ( 10 = a(z2) )
          & $less(b(z2),3)
          & ( 5 = a(z1) )
          & ( 2 = b(z3) )
          & ( 6 = a(z3) ) ) ),
    inference(true_and_false_elimination,[],[f4]) ).

tff(f4,plain,
    ~ ( ( ! [X2: $int,X1: $int,X0: $int] :
            ~ ( ( X0 != X2 )
              & $less(X0,X1)
              & ( a(X0) = 10 )
              & ( a(X1) = 6 )
              & ( X0 != X1 )
              & $less(b(X0),3)
              & ( 8 = a(X2) )
              & ( X1 != X2 ) )
        & ( z2 != z3 )
        & ( z2 != z5 )
        & ! [X4: $int,X3: $int] :
            ~ ( ( 10 = a(X4) )
              & ( X3 != X4 )
              & ( 10 = a(X3) ) )
        & ! [X5: $int,X6: $int,X7: $int] :
            ~ ( ( 10 = a(X6) )
              & $less(X6,X5)
              & ( 4 = a(X7) )
              & ( 5 = b(X5) )
              & ( X5 != X6 )
              & ( 2 = b(X6) )
              & ( X5 != X7 )
              & ( 12 = a(X5) )
              & ( X6 != X7 ) )
        & ! [X9: $int,X8: $int,X10: $int,X11: $int] :
            ~ ( ( 10 = a(X8) )
              & ( 2 = b(X11) )
              & $less(X8,X9)
              & ( X8 != X11 )
              & ( X9 != X11 )
              & ( X8 != X10 )
              & ( 7 = a(X11) )
              & ( 5 = b(X10) )
              & $less(b(X8),3)
              & ( 12 = a(X9) )
              & ( X10 != X11 )
              & ( X9 != X10 )
              & ( X8 != X9 ) )
        & ( z1 != z2 )
        & ! [X14: $int,X13: $int,X12: $int] :
            ~ ( ( 7 = a(X13) )
              & $less(b(X12),3)
              & ( X13 != X14 )
              & ( X12 != X13 )
              & $less(X12,X14)
              & ( X12 != X14 )
              & ( 10 = a(X12) )
              & ( 2 = b(X13) )
              & ( 5 = b(X14) )
              & ( 1 = a(X14) ) )
        & ! [X16: $int,X18: $int,X15: $int,X17: $int] :
            ~ ( ( X15 != X16 )
              & ( 2 = a(X16) )
              & ( X15 != X18 )
              & $less(b(X15),3)
              & ( X16 != X18 )
              & ( X16 != X17 )
              & ( 10 = a(X15) )
              & ( 2 = b(X17) )
              & ( 5 = b(X18) )
              & ( X17 != X18 )
              & $less(X15,X16)
              & ( X15 != X17 )
              & ( 7 = a(X17) ) )
        & ! [X19: $int,X20: $int,X21: $int] :
            ~ ( ( X20 != X21 )
              & ( X19 != X20 )
              & ( 2 = b(X21) )
              & ( 10 = a(X21) )
              & $less(X21,X19)
              & ( X19 != X21 )
              & ( 1 = a(X19) )
              & ( 5 = b(X19) )
              & ( 5 = a(X20) ) )
        & ! [X23: $int,X24: $int,X22: $int] :
            ~ ( ( 5 = a(X22) )
              & ( X22 != X24 )
              & ( 2 = b(X23) )
              & ( X23 != X24 )
              & ( 6 = a(X24) )
              & ( 10 = a(X23) )
              & $less(X23,X24)
              & ( 5 = b(X24) )
              & ( X22 != X23 ) )
        & ! [X27: $int,X28: $int,X26: $int,X25: $int] :
            ~ ( ( X25 != X27 )
              & ( 6 = a(X26) )
              & ( X26 != X27 )
              & ( X27 != X28 )
              & ( 5 = a(X27) )
              & $less(X28,X26)
              & ( 2 = b(X25) )
              & ( X26 != X28 )
              & ( X25 != X26 )
              & $less(b(X28),3)
              & ( X25 != X28 )
              & ( 10 = a(X28) )
              & ( 5 = b(X26) ) )
        & ! [X29: $int,X30: $int,X31: $int,X32: $int] :
            ~ ( ( X29 != X31 )
              & ( 5 = b(X32) )
              & ( 4 = a(X30) )
              & ( 2 = a(X29) )
              & ( X30 != X32 )
              & $less(b(X31),3)
              & $less(X31,X30)
              & ( 10 = a(X31) )
              & ( X29 != X30 )
              & ( X29 != X32 )
              & ( X31 != X32 )
              & ( X30 != X31 ) )
        & ! [X33: $int,X34: $int,X35: $int] :
            ~ ( ( X33 != X34 )
              & ( X34 != X35 )
              & $less(X33,X35)
              & $less(b(X33),3)
              & ( X33 != X35 )
              & ( 2 = b(X34) )
              & ( 10 = a(X33) )
              & ( 6 = a(X34) )
              & ( 5 = a(X35) )
              & ( 5 = b(X35) ) )
        & ! [X39: $int,X38: $int,X36: $int,X37: $int] :
            ~ ( ( 5 = b(X39) )
              & ( X36 != X37 )
              & $less(X38,X37)
              & ( 5 = a(X37) )
              & ( 2 = a(X36) )
              & $less(b(X38),3)
              & ( X37 != X38 )
              & ( 10 = a(X38) )
              & ( X38 != X39 )
              & ( X36 != X39 )
              & ( X36 != X38 )
              & ( X37 != X39 ) )
        & ! [X41: $int,X42: $int,X43: $int,X40: $int] :
            ~ ( $less(X43,X40)
              & ( X41 != X42 )
              & ( X41 != X43 )
              & ( X40 != X41 )
              & ( X42 != X43 )
              & ( X40 != X42 )
              & ( 2 = b(X42) )
              & ( 5 = b(X41) )
              & $less(b(X43),3)
              & ( 5 = a(X40) )
              & ( 10 = a(X43) )
              & ( X40 != X43 ) )
        & ! [X44: $int,X46: $int,X45: $int] :
            ~ ( ( 7 = a(X44) )
              & ( X44 != X45 )
              & ( 2 = b(X44) )
              & ( X45 != X46 )
              & ( X44 != X46 )
              & ( 10 = a(X45) )
              & ( 5 = b(X46) )
              & $less(X45,X46)
              & $less(b(X45),3)
              & ( 12 = a(X46) ) )
        & ! [X49: $int,X48: $int,X47: $int] :
            ~ ( ( 10 = a(X48) )
              & ( X48 != X49 )
              & $less(b(X48),3)
              & ( X47 != X49 )
              & $less(X48,X47)
              & ( 5 = b(X49) )
              & ( 7 = a(X47) )
              & ( X47 != X48 ) )
        & ! [X50: $int,X51: $int,X52: $int] :
            ~ ( ( 8 = a(X50) )
              & ( 2 = b(X50) )
              & $less(X51,X52)
              & $less(b(X51),3)
              & ( X51 != X52 )
              & ( X50 != X51 )
              & ( 10 = a(X51) )
              & ( 1 = a(X52) )
              & ( X50 != X52 ) )
        & ! [X54: $int,X55: $int,X53: $int] :
            ~ ( ( 10 = a(X54) )
              & ( X54 != X55 )
              & $less(X54,X55)
              & ( 12 = a(X55) )
              & ( X53 != X54 )
              & ( 5 = a(X53) )
              & ( X53 != X55 )
              & ( 5 = b(X55) )
              & ( 2 = b(X54) ) )
        & ( z3 != z4 )
        & ! [X57: $int,X59: $int,X56: $int,X58: $int] :
            ~ ( ( 2 = b(X59) )
              & ( 10 = a(X57) )
              & ( X57 != X59 )
              & ( X56 != X57 )
              & ( X56 != X59 )
              & $less(b(X57),3)
              & ( 4 = a(X56) )
              & ( X56 != X58 )
              & ( 5 = b(X56) )
              & $less(X57,X56)
              & ( 7 = a(X58) )
              & ( X58 != X59 )
              & ( X57 != X58 ) )
        & ! [X62: $int,X60: $int,X63: $int,X61: $int] :
            ~ ( ( X61 != X62 )
              & ( X60 != X63 )
              & ( X61 != X63 )
              & ( 8 = a(X60) )
              & ( X60 != X62 )
              & ( X60 != X61 )
              & ( 2 = a(X62) )
              & $less(X61,X63)
              & $less(b(X61),3)
              & ( 5 = a(X63) )
              & ( 10 = a(X61) )
              & ( X62 != X63 ) )
        & ( z1 != z3 )
        & ! [X67: $int,X64: $int,X65: $int,X66: $int] :
            ~ ( ( X64 != X67 )
              & $less(X65,X67)
              & ( X64 != X65 )
              & $less(b(X65),3)
              & ( 7 = a(X67) )
              & ( X66 != X67 )
              & ( X65 != X66 )
              & ( 2 = b(X66) )
              & ( X64 != X66 )
              & ( 4 = a(X64) )
              & ( 10 = a(X65) )
              & ( 5 = b(X67) )
              & ( X65 != X67 ) )
        & ! [X69: $int,X68: $int,X70: $int] :
            ~ ( ( 5 = b(X68) )
              & $less(X69,X68)
              & ( 7 = a(X68) )
              & ( X68 != X70 )
              & ( 10 = a(X69) )
              & ( 4 = a(X70) )
              & ( X68 != X69 )
              & ( X69 != X70 )
              & ( 2 = b(X69) ) )
        & ! [X71: $int] :
            ( ~ $less(5,b(X71))
            & ~ $less(b(X71),1) )
        & ! [X73: $int,X72: $int,X74: $int] :
            ~ ( ( 2 = b(X73) )
              & $less(X73,X72)
              & ( 4 = a(X72) )
              & ( 4 = a(X74) )
              & ( X73 != X74 )
              & ( X72 != X73 )
              & ( 5 = b(X72) )
              & ( 10 = a(X73) )
              & ( X72 != X74 ) )
        & ( z2 != z4 )
        & ! [X75: $int,X77: $int,X76: $int] :
            ~ ( ( 10 = a(X75) )
              & $less(X75,X76)
              & ( X75 != X77 )
              & ( 5 = a(X76) )
              & ( X75 != X76 )
              & ( X76 != X77 )
              & ( 8 = a(X77) )
              & ( 2 = b(X75) ) )
        & ! [X80: $int,X78: $int,X79: $int] :
            ~ ( ( 2 = b(X79) )
              & ( 10 = a(X79) )
              & $less(X79,X80)
              & ( 5 = b(X78) )
              & ( X79 != X80 )
              & ( X78 != X79 )
              & ( X78 != X80 )
              & ( 5 = a(X80) ) )
        & ! [X81: $int,X84: $int,X82: $int,X83: $int] :
            ~ ( ( X81 != X82 )
              & ( X81 != X84 )
              & ( 10 = a(X84) )
              & $less(b(X84),3)
              & $less(X84,X83)
              & ( 5 = a(X82) )
              & ( X83 != X84 )
              & ( X82 != X83 )
              & ( 2 = b(X81) )
              & ( 7 = a(X83) )
              & ( X82 != X84 )
              & ( X81 != X83 )
              & ( 5 = b(X83) ) )
        & ! [X85: $int,X86: $int,X87: $int] :
            ~ ( ( X86 != X87 )
              & ( X85 != X86 )
              & ( 1 = a(X86) )
              & ( 7 = a(X87) )
              & ( X85 != X87 )
              & $less(b(X87),4)
              & ( 10 = a(X85) )
              & ( 2 = b(X85) )
              & $less(X85,X86)
              & ( 5 = b(X86) ) )
        & ! [X90: $int,X88: $int,X89: $int] :
            ~ ( ( 5 = b(X89) )
              & ( X88 != X90 )
              & ( 7 = a(X88) )
              & $less(X90,X89)
              & ( 4 = a(X89) )
              & ( X89 != X90 )
              & ( 2 = b(X90) )
              & ( X88 != X89 )
              & ( 10 = a(X90) ) )
        & ! [X91: $int,X92: $int,X93: $int] :
            ~ ( $less(b(X93),4)
              & ( 2 = b(X91) )
              & ( X91 != X93 )
              & ( 10 = a(X91) )
              & ( 12 = a(X92) )
              & ( X92 != X93 )
              & ( X91 != X92 )
              & ( 7 = a(X93) )
              & ( 5 = b(X92) )
              & $less(X91,X92) )
        & ! [X95: $int,X94: $int,X96: $int] :
            ~ ( ( 2 = b(X95) )
              & ( X94 != X96 )
              & ( 5 = b(X94) )
              & ( 4 = a(X94) )
              & ( X94 != X95 )
              & ( 10 = a(X95) )
              & ( X95 != X96 )
              & $less(X95,X94)
              & ( 5 = a(X96) ) )
        & ! [X100: $int,X98: $int,X99: $int,X97: $int] :
            ~ ( ( 10 = a(X99) )
              & ( X98 != X99 )
              & ( X99 != X100 )
              & ( X97 != X100 )
              & $less(X99,X97)
              & ( 5 = b(X97) )
              & ( X97 != X98 )
              & ( X98 != X100 )
              & $less(b(X99),3)
              & ( 7 = a(X98) )
              & ( 5 = a(X97) )
              & ( X97 != X99 )
              & ( 2 = b(X100) ) )
        & ! [X103: $int,X101: $int,X102: $int] :
            ~ ( ( X102 != X103 )
              & ( 7 = a(X102) )
              & ( 2 = b(X103) )
              & ( 10 = a(X103) )
              & ( X101 != X103 )
              & ( X101 != X102 )
              & $less(X103,X101)
              & ( 5 = a(X101) )
              & ( 5 = b(X101) ) )
        & ! [X105: $int,X106: $int,X104: $int] :
            ~ ( ( 6 = a(X106) )
              & $less(X104,X105)
              & ( 1 = a(X105) )
              & ( 2 = b(X104) )
              & ( X105 != X106 )
              & ( 5 = b(X105) )
              & ( X104 != X105 )
              & ( X104 != X106 )
              & ( 10 = a(X104) ) )
        & ! [X107: $int,X110: $int,X109: $int,X108: $int] :
            ~ ( ( 5 = a(X109) )
              & ( X109 != X110 )
              & ( X107 != X108 )
              & $less(b(X110),3)
              & ( 10 = a(X110) )
              & ( 12 = a(X107) )
              & ( X108 != X109 )
              & ( 5 = b(X108) )
              & $less(X110,X109)
              & ( X108 != X110 )
              & ( X107 != X109 )
              & ( X107 != X110 ) )
        & ! [X114: $int,X112: $int,X113: $int,X111: $int] :
            ~ ( ( X111 != X113 )
              & ( 4 = a(X112) )
              & ( X113 != X114 )
              & ( 1 = a(X111) )
              & ( 5 = b(X114) )
              & $less(X113,X112)
              & ( X111 != X112 )
              & ( X111 != X114 )
              & ( 10 = a(X113) )
              & $less(b(X113),3)
              & ( X112 != X113 )
              & ( X112 != X114 ) )
        & ! [X116: $int,X118: $int,X117: $int,X115: $int] :
            ~ ( $less(b(X117),3)
              & ( X116 != X117 )
              & ( 2 = b(X116) )
              & ( X115 != X118 )
              & ( 5 = a(X118) )
              & ( 5 = b(X115) )
              & ( 10 = a(X117) )
              & ( X115 != X117 )
              & ( 5 = a(X115) )
              & ( X117 != X118 )
              & ( X115 != X116 )
              & $less(X117,X115)
              & ( X116 != X118 ) )
        & ! [X119: $int,X120: $int,X121: $int] :
            ~ ( ( X120 != X121 )
              & ( X119 != X120 )
              & $less(b(X120),4)
              & $less(X119,X121)
              & ( 8 = a(X120) )
              & ( X119 != X121 )
              & ( 2 = b(X119) )
              & ( 10 = a(X119) )
              & ( 1 = a(X121) ) )
        & ! [X124: $int,X123: $int,X122: $int] :
            ~ ( ( 2 = b(X123) )
              & ( 10 = a(X123) )
              & ( X122 != X124 )
              & $less(X123,X122)
              & ( 5 = b(X122) )
              & ( X122 != X123 )
              & ( 5 = a(X122) )
              & ( X123 != X124 )
              & ( 6 = a(X124) ) )
        & ! [X127: $int,X125: $int,X126: $int] :
            ~ ( ( 8 = a(X126) )
              & ( 10 = a(X127) )
              & $less(b(X127),3)
              & ( 2 = b(X126) )
              & ( X126 != X127 )
              & $less(X127,X125)
              & ( X125 != X126 )
              & ( X125 != X127 )
              & ( 12 = a(X125) ) )
        & ( z1 != z5 )
        & ! [X129: $int,X128: $int,X130: $int] :
            ~ ( $less(b(X128),3)
              & ( 10 = a(X128) )
              & ( X129 != X130 )
              & ( X128 != X130 )
              & $less(X128,X130)
              & ( 2 = a(X130) )
              & ( X128 != X129 )
              & ( 8 = a(X129) )
              & ( 2 = b(X129) ) )
        & ! [X131: $int,X132: $int,X133: $int] :
            ~ ( ( X131 != X133 )
              & ( 10 = a(X131) )
              & ( 2 = b(X131) )
              & ( 5 = b(X133) )
              & ( X132 != X133 )
              & ( 4 = a(X132) )
              & ( 2 = a(X133) )
              & ( X131 != X132 )
              & $less(X131,X133) )
        & ! [X136: $int,X134: $int,X135: $int] :
            ~ ( ( 10 = a(X135) )
              & ( X135 != X136 )
              & ( X134 != X136 )
              & ( 5 = b(X134) )
              & ( 4 = a(X136) )
              & ( 2 = b(X135) )
              & $less(X135,X136)
              & ( X134 != X135 ) )
        & ! [X137: $int,X139: $int,X138: $int] :
            ~ ( ( 2 = b(X138) )
              & $less(X138,X137)
              & ( 10 = a(X138) )
              & ( 7 = a(X137) )
              & ( X138 != X139 )
              & ( X137 != X139 )
              & ( X137 != X138 )
              & ( 5 = b(X137) )
              & ( 5 = a(X139) ) )
        & ! [X143: $int,X140: $int,X142: $int,X141: $int] :
            ~ ( ( X141 != X143 )
              & ( X140 != X142 )
              & ( 10 = a(X143) )
              & ( X142 != X143 )
              & ( X140 != X143 )
              & $less(b(X142),4)
              & ( 8 = a(X141) )
              & ( X141 != X142 )
              & ( 3 = a(X142) )
              & $less(b(X141),4)
              & $less(X143,X142)
              & ( 2 = b(X140) )
              & ( X140 != X141 )
              & $less(b(X143),3) )
        & ! [X144: $int,X146: $int,X145: $int] :
            ~ ( ( X144 != X146 )
              & ( 6 = a(X144) )
              & ( 10 = a(X146) )
              & ( X144 != X145 )
              & ( X145 != X146 )
              & ( 5 = b(X145) )
              & $less(b(X146),3)
              & $less(X146,X144) )
        & ! [X147: $int,X148: $int,X149: $int] :
            ~ ( ( X147 != X149 )
              & $less(b(X149),4)
              & ( 2 = b(X147) )
              & ( 10 = a(X147) )
              & ( X148 != X149 )
              & ( 8 = a(X149) )
              & $less(b(X148),4)
              & $less(X147,X148)
              & ( X147 != X148 )
              & ( 3 = a(X148) ) )
        & ! [X150: $int,X152: $int,X151: $int] :
            ~ ( ( 5 = b(X151) )
              & ( 10 = a(X150) )
              & ( 6 = a(X152) )
              & ( X150 != X152 )
              & $less(b(X150),3)
              & ( 7 = a(X151) )
              & ( X150 != X151 )
              & ( X151 != X152 )
              & $less(X150,X151) )
        & ! [X153: $int,X154: $int,X155: $int] :
            ~ ( ( 2 = b(X154) )
              & ( 10 = a(X155) )
              & $less(X155,X153)
              & ( 8 = a(X154) )
              & ( X153 != X155 )
              & $less(b(X155),3)
              & ( 5 = a(X153) )
              & ( X154 != X155 )
              & ( X153 != X154 ) )
        & ( z1 != z4 )
        & ! [X159: $int,X156: $int,X158: $int,X157: $int] :
            ~ ( ( X158 != X159 )
              & ( X156 != X158 )
              & ( 7 = a(X157) )
              & $less(b(X157),4)
              & ( 12 = a(X158) )
              & ( 10 = a(X159) )
              & ( X157 != X158 )
              & $less(X159,X158)
              & ( 5 = b(X156) )
              & ( X157 != X159 )
              & ( 2 = b(X159) )
              & ( X156 != X159 )
              & ( X156 != X157 ) )
        & ! [X161: $int,X160: $int,X162: $int] :
            ~ ( ( X160 != X162 )
              & ( 4 = a(X162) )
              & ( 2 = b(X161) )
              & $less(X161,X162)
              & ( 8 = a(X160) )
              & ( X161 != X162 )
              & ( X160 != X161 )
              & ( 10 = a(X161) ) )
        & ! [X163: $int,X164: $int,X165: $int,X166: $int] :
            ~ ( ( 5 = b(X165) )
              & ( X163 != X166 )
              & $less(X164,X165)
              & ( 5 = a(X163) )
              & ( 10 = a(X164) )
              & ( X165 != X166 )
              & ( 2 = b(X166) )
              & $less(b(X164),3)
              & ( X164 != X165 )
              & ( 5 = a(X165) )
              & ( X163 != X164 )
              & ( X164 != X166 )
              & ( 2 = b(X163) )
              & ( X163 != X165 ) )
        & ! [X167: $int,X169: $int,X168: $int] :
            ~ ( ( X168 != X169 )
              & ( 2 = b(X169) )
              & ( X167 != X168 )
              & ( 10 = a(X169) )
              & ( 6 = a(X167) )
              & ( X167 != X169 )
              & ( 2 = a(X168) )
              & $less(X169,X168)
              & ( 5 = b(X168) ) )
        & ! [X173: $int,X171: $int,X172: $int,X170: $int] :
            ~ ( $less(X173,X172)
              & ( 7 = a(X171) )
              & ( X170 != X173 )
              & ( X171 != X173 )
              & ( X170 != X171 )
              & ( 2 = b(X173) )
              & ( 10 = a(X173) )
              & ( X171 != X172 )
              & ( X170 != X172 )
              & $less(b(X171),4)
              & ( 1 = a(X172) )
              & ( 5 = b(X170) )
              & ( X172 != X173 ) )
        & ( z3 != z5 )
        & ! [X174: $int,X175: $int,X177: $int,X176: $int] :
            ~ ( ( X174 != X176 )
              & $less(b(X177),3)
              & ( 1 = a(X174) )
              & $less(X177,X175)
              & ( 10 = a(X177) )
              & ( X174 != X175 )
              & ( 5 = a(X175) )
              & ( X175 != X176 )
              & ( 5 = b(X176) )
              & ( X176 != X177 )
              & ( X174 != X177 )
              & ( X175 != X177 ) )
        & ! [X178: $int,X180: $int,X179: $int,X181: $int] :
            ~ ( ( 10 = a(X179) )
              & ( X178 != X180 )
              & $less(X179,X181)
              & ( 2 = b(X178) )
              & ( X180 != X181 )
              & ( 6 = a(X180) )
              & ( 5 = b(X181) )
              & ( X178 != X181 )
              & ( 5 = a(X181) )
              & ( X178 != X179 )
              & ( X179 != X180 )
              & ( X179 != X181 )
              & $less(b(X179),3) )
        & ! [X184: $int,X182: $int,X183: $int] :
            ~ ( ( X183 != X184 )
              & ( 2 = b(X182) )
              & $less(X182,X184)
              & ( X182 != X184 )
              & ( 6 = a(X184) )
              & ( 5 = b(X184) )
              & ( X182 != X183 )
              & ( 4 = a(X183) )
              & ( 10 = a(X182) ) )
        & ! [X186: $int,X185: $int,X187: $int] :
            ~ ( $less(X185,X187)
              & ( X185 != X187 )
              & ( 10 = a(X185) )
              & ( X186 != X187 )
              & ( 6 = a(X187) )
              & ( X185 != X186 )
              & $less(b(X185),3)
              & ( 6 = a(X186) )
              & ( 5 = b(X187) ) )
        & ! [X191: $int,X190: $int,X189: $int,X188: $int] :
            ~ ( $less(X188,X190)
              & ( 2 = a(X191) )
              & $less(b(X188),3)
              & ( X189 != X191 )
              & ( X190 != X191 )
              & ( X188 != X190 )
              & ( X188 != X191 )
              & ( X188 != X189 )
              & ( 10 = a(X188) )
              & ( 5 = b(X190) )
              & ( 5 = a(X190) )
              & ( 7 = a(X189) )
              & ( X189 != X190 ) )
        & ! [X194: $int,X193: $int,X192: $int] :
            ~ ( ( X193 != X194 )
              & ( 5 = b(X194) )
              & $less(b(X192),3)
              & ( X192 != X193 )
              & ( 7 = a(X193) )
              & ( 2 = b(X193) )
              & ( 10 = a(X192) )
              & $less(X192,X194)
              & ( 4 = a(X194) )
              & ( X192 != X194 ) )
        & ! [X196: $int,X198: $int,X197: $int,X195: $int] :
            ~ ( $less(b(X197),4)
              & $less(b(X196),4)
              & ( 3 = a(X197) )
              & ( 2 = b(X195) )
              & $less(X195,X197)
              & ( X197 != X198 )
              & ( 5 = b(X198) )
              & ( 7 = a(X196) )
              & ( X195 != X198 )
              & ( X196 != X198 )
              & ( X195 != X196 )
              & ( X195 != X197 )
              & ( 10 = a(X195) )
              & ( X196 != X197 ) )
        & ! [X200: $int,X201: $int,X199: $int] :
            ~ ( ( 2 = b(X201) )
              & ( 5 = b(X200) )
              & ( X200 != X201 )
              & ( X199 != X201 )
              & ( X199 != X200 )
              & ( 7 = a(X199) )
              & ( 2 = a(X200) )
              & ( 10 = a(X201) )
              & $less(b(X199),4)
              & $less(X201,X200) )
        & ! [X203: $int,X204: $int,X202: $int,X205: $int] :
            ~ ( ( X202 != X203 )
              & ( 10 = a(X205) )
              & ( X203 != X204 )
              & ( 8 = a(X203) )
              & $less(X205,X204)
              & ( X203 != X205 )
              & ( 2 = b(X202) )
              & ( X202 != X204 )
              & $less(b(X205),3)
              & ( X202 != X205 )
              & ( 4 = a(X204) )
              & ( X204 != X205 ) )
        & ! [X208: $int,X207: $int,X206: $int] :
            ~ ( $less(b(X208),4)
              & ( X207 != X208 )
              & ( 2 = b(X206) )
              & ( 3 = a(X208) )
              & $less(b(X207),3)
              & $less(X207,X208)
              & ( X206 != X207 )
              & ( 8 = a(X206) )
              & ( 10 = a(X207) )
              & ( X206 != X208 ) )
        & ! [X210: $int,X211: $int,X212: $int,X209: $int] :
            ~ ( ( 4 = a(X210) )
              & ( 5 = b(X209) )
              & ( X211 != X212 )
              & ( X209 != X210 )
              & ( X210 != X212 )
              & ( X210 != X211 )
              & ( X209 != X211 )
              & ( 10 = a(X212) )
              & $less(X212,X210)
              & $less(b(X212),3)
              & ( X209 != X212 )
              & ( 2 = b(X211) ) )
        & ! [X213: $int,X215: $int,X214: $int,X216: $int] :
            ~ ( ( X214 != X216 )
              & $less(X215,X214)
              & ( 10 = a(X215) )
              & $less(b(X215),3)
              & ( 8 = a(X216) )
              & ( X215 != X216 )
              & ( 1 = a(X213) )
              & ( X213 != X215 )
              & ( X214 != X215 )
              & ( 5 = a(X214) )
              & ( X213 != X216 )
              & ( X213 != X214 ) )
        & $true
        & ! [X218: $int,X217: $int] :
            ~ ( $less(X218,X217)
              & ( X217 != X218 )
              & ( 9 = a(X217) )
              & $less(b(X218),3)
              & ( 10 = a(X218) ) )
        & ! [X219: $int,X220: $int,X222: $int,X221: $int] :
            ~ ( ( X220 != X221 )
              & ( X221 != X222 )
              & ( X220 != X222 )
              & ( 2 = a(X222) )
              & ( X219 != X220 )
              & $less(b(X219),3)
              & $less(X219,X221)
              & ( 6 = a(X220) )
              & ( 10 = a(X219) )
              & ( 5 = b(X221) )
              & ( X219 != X222 )
              & ( 5 = a(X221) )
              & ( X219 != X221 ) )
        & ! [X225: $int,X223: $int,X224: $int] :
            ~ ( ( 7 = a(X225) )
              & $less(X223,X225)
              & ( 10 = a(X223) )
              & ( X224 != X225 )
              & ( X223 != X224 )
              & $less(b(X223),3)
              & ( 8 = a(X224) )
              & ( X223 != X225 ) )
        & ! [X227: $int,X228: $int,X226: $int] :
            ~ ( ( X226 != X227 )
              & ( X226 != X228 )
              & ( 5 = b(X227) )
              & ( 4 = a(X226) )
              & ( 1 = a(X227) )
              & ( 10 = a(X228) )
              & ( X227 != X228 )
              & ( 2 = b(X228) )
              & $less(X228,X227) )
        & ! [X230: $int,X231: $int,X229: $int,X232: $int] :
            ~ ( ( 2 = b(X231) )
              & ( X231 != X232 )
              & ( X229 != X232 )
              & ( 7 = a(X231) )
              & ( X229 != X230 )
              & ( X230 != X231 )
              & ( X230 != X232 )
              & ( 5 = b(X230) )
              & $less(b(X232),3)
              & ( X229 != X231 )
              & ( 4 = a(X229) )
              & ( 10 = a(X232) )
              & $less(X232,X229) )
        & ! [X234: $int,X236: $int,X235: $int,X233: $int] :
            ~ ( $less(b(X234),3)
              & ( X234 != X236 )
              & ( 4 = a(X235) )
              & ( X233 != X236 )
              & ( X233 != X235 )
              & $less(X234,X235)
              & ( X234 != X235 )
              & ( 10 = a(X234) )
              & ( 8 = a(X233) )
              & ( X235 != X236 )
              & ( 2 = a(X236) )
              & ( X233 != X234 ) )
        & ! [X240: $int,X238: $int,X239: $int,X237: $int] :
            ~ ( ( 10 = a(X237) )
              & ( 2 = b(X237) )
              & ( X238 != X239 )
              & ( X237 != X239 )
              & ( 2 = a(X239) )
              & ( X237 != X238 )
              & ( X239 != X240 )
              & $less(X237,X239)
              & ( 5 = b(X240) )
              & $less(b(X238),4)
              & ( 7 = a(X238) )
              & ( X238 != X240 )
              & ( X237 != X240 ) )
        & ! [X241: $int,X242: $int,X243: $int] :
            ~ ( ( X241 != X242 )
              & ( X241 != X243 )
              & ( 6 = a(X242) )
              & ( 2 = b(X243) )
              & ( 5 = b(X241) )
              & ( X242 != X243 )
              & ( 4 = a(X241) )
              & $less(X243,X241)
              & ( 10 = a(X243) ) )
        & ! [X246: $int,X244: $int,X245: $int] :
            ~ ( ( 2 = b(X244) )
              & ( X245 != X246 )
              & ( X244 != X245 )
              & $less(X244,X246)
              & ( 5 = b(X246) )
              & ( 5 = a(X246) )
              & ( 4 = a(X245) )
              & ( X244 != X246 )
              & ( 10 = a(X244) ) )
        & ! [X249: $int,X250: $int,X248: $int,X247: $int] :
            ~ ( ( X249 != X250 )
              & ( 7 = a(X247) )
              & ( 5 = a(X248) )
              & ( 10 = a(X249) )
              & ( X248 != X250 )
              & ( X247 != X249 )
              & ( 2 = a(X250) )
              & ( X247 != X248 )
              & $less(b(X249),3)
              & ( 5 = b(X250) )
              & ( X248 != X249 )
              & ( X247 != X250 )
              & $less(X249,X248) )
        & ! [X253: $int,X252: $int,X251: $int] :
            ~ ( ( X252 != X253 )
              & ( X251 != X252 )
              & $less(X251,X252)
              & ( 5 = b(X252) )
              & ( 10 = a(X251) )
              & ( 2 = b(X251) )
              & ( 5 = a(X253) )
              & ( 2 = a(X252) )
              & ( X251 != X253 ) )
        & ! [X256: $int,X255: $int,X254: $int] :
            ~ ( ( 8 = a(X256) )
              & ( X254 != X255 )
              & ( 2 = b(X254) )
              & ( X254 != X256 )
              & ( 10 = a(X254) )
              & ( X255 != X256 )
              & ( 12 = a(X255) )
              & $less(b(X256),4)
              & $less(X254,X255) )
        & ! [X258: $int,X259: $int,X257: $int] :
            ~ ( $less(X258,X257)
              & ( 5 = b(X257) )
              & ( X257 != X259 )
              & ( 7 = a(X257) )
              & ( X257 != X258 )
              & ( 10 = a(X258) )
              & ( X258 != X259 )
              & ( 7 = a(X259) )
              & $less(b(X258),3) )
        & ! [X261: $int,X262: $int,X260: $int] :
            ~ ( $less(b(X260),3)
              & ( 8 = a(X261) )
              & ( X260 != X262 )
              & ( X260 != X261 )
              & ( 4 = a(X262) )
              & ( X261 != X262 )
              & ( 2 = b(X261) )
              & ( 10 = a(X260) )
              & $less(X260,X262) )
        & ! [X265: $int,X264: $int,X266: $int,X263: $int] :
            ~ ( ( 5 = b(X264) )
              & ( 2 = b(X266) )
              & ( 3 = a(X263) )
              & ( X264 != X265 )
              & $less(b(X265),3)
              & $less(X265,X263)
              & ( X263 != X264 )
              & ( 10 = a(X265) )
              & ( X263 != X265 )
              & ( X263 != X266 )
              & $less(b(X263),4)
              & ( 7 = a(X266) )
              & ( X265 != X266 )
              & ( X264 != X266 ) )
        & ! [X270: $int,X267: $int,X269: $int,X268: $int] :
            ~ ( ( X269 != X270 )
              & ( 2 = a(X267) )
              & ( 10 = a(X269) )
              & ( X267 != X270 )
              & ( X267 != X269 )
              & ( X267 != X268 )
              & ( X268 != X270 )
              & ( X268 != X269 )
              & ( 5 = b(X268) )
              & $less(b(X269),3)
              & $less(X269,X268)
              & ( 7 = a(X268) )
              & ( 5 = a(X270) ) )
        & ! [X272: $int,X274: $int,X271: $int,X273: $int] :
            ~ ( ( X271 != X272 )
              & ( 1 = a(X273) )
              & $less(X271,X273)
              & $less(b(X271),3)
              & ( 7 = a(X272) )
              & ( X272 != X273 )
              & ( X273 != X274 )
              & ( X272 != X274 )
              & ( 10 = a(X271) )
              & ( 2 = b(X272) )
              & ( X271 != X274 )
              & ( 5 = b(X274) )
              & ( X271 != X273 ) )
        & ( z4 != z5 )
        & ! [X275: $int,X277: $int,X276: $int] :
            ~ ( $less(b(X275),3)
              & ( X275 != X277 )
              & ( 10 = a(X275) )
              & ( X275 != X276 )
              & ( 5 = b(X276) )
              & ( 5 = a(X276) )
              & $less(X275,X276)
              & ( X276 != X277 )
              & ( 7 = a(X277) )
              & ( 2 = b(X277) ) )
        & ! [X280: $int,X278: $int,X279: $int] :
            ~ ( ( X278 != X279 )
              & ( 2 = b(X279) )
              & ( 5 = b(X280) )
              & ( 5 = a(X278) )
              & ( X279 != X280 )
              & ( 10 = a(X279) )
              & ( X278 != X280 )
              & $less(X279,X280)
              & ( 5 = a(X280) ) )
        & ! [X281: $int,X282: $int,X283: $int] :
            ~ ( $less(b(X281),3)
              & ( 7 = a(X282) )
              & ( 2 = a(X283) )
              & ( 10 = a(X281) )
              & $less(X281,X283)
              & ( X282 != X283 )
              & ( 2 = b(X282) )
              & ( X281 != X283 )
              & ( 5 = b(X283) )
              & ( X281 != X282 ) )
        & ! [X284: $int,X286: $int,X285: $int] :
            ~ ( ( X285 != X286 )
              & ( 10 = a(X285) )
              & ( 5 = b(X286) )
              & $less(X285,X286)
              & ( 2 = b(X285) )
              & ( 6 = a(X284) )
              & ( X284 != X285 )
              & ( 12 = a(X286) )
              & ( X284 != X286 ) )
        & ! [X288: $int,X289: $int,X287: $int,X290: $int] :
            ~ ( ( 8 = a(X287) )
              & $less(b(X290),3)
              & $less(X290,X288)
              & ( 10 = a(X290) )
              & ( 5 = a(X288) )
              & ( X288 != X290 )
              & ( 2 = b(X289) )
              & ( X287 != X290 )
              & ( X289 != X290 )
              & ( X287 != X288 )
              & ( X287 != X289 )
              & ( X288 != X289 ) )
        & ! [X291: $int] :
            ( ~ $less(12,a(X291))
            & ~ $less(a(X291),1) )
        & ! [X293: $int,X292: $int,X294: $int] :
            ~ ( $less(X292,X293)
              & ( 10 = a(X292) )
              & ( 6 = a(X293) )
              & $less(b(X292),3)
              & ( X293 != X294 )
              & ( X292 != X294 )
              & ( 7 = a(X294) )
              & ( X292 != X293 )
              & ( 5 = b(X293) ) )
        & ! [X295: $int,X296: $int] :
            ~ ( ( 10 = a(X295) )
              & ( X295 != X296 )
              & $less(b(X295),3)
              & $less(X295,X296)
              & ( 8 = a(X296) ) )
        & ! [X299: $int,X297: $int,X298: $int] :
            ~ ( $less(X297,X298)
              & $less(b(X299),4)
              & ( X298 != X299 )
              & ( 10 = a(X297) )
              & ( X297 != X298 )
              & ( 2 = a(X298) )
              & ( 8 = a(X299) )
              & ( 2 = b(X297) )
              & ( X297 != X299 ) ) )
     => ~ ( ( 5 = b(z1) )
          & ( 5 = a(z4) )
          & $less(z2,z1)
          & ( 2 = b(z4) )
          & ( 10 = a(z2) )
          & $less(b(z2),3)
          & ( 5 = a(z1) )
          & ( 2 = b(z3) )
          & ( 6 = a(z3) ) ) ),
    inference(rectify,[],[f3]) ).

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

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

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

tff(f68,plain,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f8]) ).

tff(f109,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f8]) ).

tff(f29,plain,
    2 = b(z3),
    inference(cnf_transformation,[],[f8]) ).

tff(f113,plain,
    6 = a(z3),
    inference(cnf_transformation,[],[f8]) ).

tff(f30,plain,
    z2 != z3,
    inference(cnf_transformation,[],[f8]) ).

tff(f78,plain,
    5 = b(z1),
    inference(cnf_transformation,[],[f8]) ).

tff(f74,plain,
    5 = a(z1),
    inference(cnf_transformation,[],[f8]) ).

tff(f50,plain,
    $less(z2,z1),
    inference(cnf_transformation,[],[f8]) ).

tff(f89,plain,
    z1 != z3,
    inference(cnf_transformation,[],[f8]) ).

tff(f96,plain,
    z1 != z2,
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWW006=1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.32  % Computer : n026.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit   : 300
% 0.09/0.32  % WCLimit    : 300
% 0.09/0.32  % DateTime   : Tue Aug 30 20:27:36 EDT 2022
% 0.09/0.32  % CPUTime    : 
% 0.15/0.48  % (30073)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.15/0.48  % (30074)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.15/0.49  % (30075)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.15/0.50  % (30090)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50  % (30089)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.50  % (30083)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.50  % (30091)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.15/0.51  % (30081)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.51  % (30082)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.51  % (30082)Instruction limit reached!
% 0.15/0.51  % (30082)------------------------------
% 0.15/0.51  % (30082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51  % (30082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51  % (30082)Termination reason: Unknown
% 0.15/0.51  % (30082)Termination phase: Property scanning
% 0.15/0.51  
% 0.15/0.51  % (30082)Memory used [KB]: 1023
% 0.15/0.51  % (30082)Time elapsed: 0.004 s
% 0.15/0.51  % (30082)Instructions burned: 2 (million)
% 0.15/0.51  % (30082)------------------------------
% 0.15/0.51  % (30082)------------------------------
% 0.15/0.51  % (30083)Instruction limit reached!
% 0.15/0.51  % (30083)------------------------------
% 0.15/0.51  % (30083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51  % (30083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51  % (30083)Termination reason: Unknown
% 0.15/0.51  % (30083)Termination phase: Property scanning
% 0.15/0.51  
% 0.15/0.51  % (30083)Memory used [KB]: 1023
% 0.15/0.51  % (30083)Time elapsed: 0.004 s
% 0.15/0.51  % (30083)Instructions burned: 3 (million)
% 0.15/0.51  % (30083)------------------------------
% 0.15/0.51  % (30083)------------------------------
% 0.15/0.52  % (30075)Instruction limit reached!
% 0.15/0.52  % (30075)------------------------------
% 0.15/0.52  % (30075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (30075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (30075)Termination reason: Unknown
% 0.15/0.52  % (30075)Termination phase: Saturation
% 0.15/0.52  
% 0.15/0.52  % (30075)Memory used [KB]: 6396
% 0.15/0.52  % (30075)Time elapsed: 0.018 s
% 0.15/0.52  % (30075)Instructions burned: 27 (million)
% 0.15/0.52  % (30075)------------------------------
% 0.15/0.52  % (30075)------------------------------
% 0.15/0.52  % (30073)Instruction limit reached!
% 0.15/0.52  % (30073)------------------------------
% 0.15/0.52  % (30073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (30069)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.53  % (30069)Instruction limit reached!
% 0.15/0.53  % (30069)------------------------------
% 0.15/0.53  % (30069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (30069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (30069)Termination reason: Unknown
% 0.15/0.53  % (30069)Termination phase: shuffling
% 0.15/0.53  
% 0.15/0.53  % (30069)Memory used [KB]: 1023
% 0.15/0.53  % (30069)Time elapsed: 0.003 s
% 0.15/0.53  % (30069)Instructions burned: 2 (million)
% 0.15/0.53  % (30069)------------------------------
% 0.15/0.53  % (30069)------------------------------
% 0.15/0.53  % (30070)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.53  % (30068)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.53  % (30073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (30073)Termination reason: Unknown
% 0.15/0.53  % (30073)Termination phase: Saturation
% 0.15/0.53  
% 0.15/0.53  % (30073)Memory used [KB]: 6268
% 0.15/0.53  % (30073)Time elapsed: 0.021 s
% 0.15/0.53  % (30073)Instructions burned: 32 (million)
% 0.15/0.53  % (30073)------------------------------
% 0.15/0.53  % (30073)------------------------------
% 0.15/0.54  % (30072)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.54  % (30078)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.54  % (30095)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.54  % (30074)Instruction limit reached!
% 0.15/0.54  % (30074)------------------------------
% 0.15/0.54  % (30074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (30074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (30074)Termination reason: Unknown
% 0.15/0.54  % (30074)Termination phase: Saturation
% 0.15/0.54  
% 0.15/0.54  % (30074)Memory used [KB]: 6268
% 0.15/0.54  % (30074)Time elapsed: 0.023 s
% 0.15/0.54  % (30074)Instructions burned: 36 (million)
% 0.15/0.54  % (30074)------------------------------
% 0.15/0.54  % (30074)------------------------------
% 0.15/0.54  % (30078)Instruction limit reached!
% 0.15/0.54  % (30078)------------------------------
% 0.15/0.54  % (30078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (30078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (30078)Termination reason: Unknown
% 0.15/0.54  % (30078)Termination phase: Property scanning
% 0.15/0.54  
% 0.15/0.54  % (30078)Memory used [KB]: 1023
% 0.15/0.54  % (30078)Time elapsed: 0.004 s
% 0.15/0.54  % (30078)Instructions burned: 5 (million)
% 0.15/0.54  % (30078)------------------------------
% 0.15/0.54  % (30078)------------------------------
% 0.15/0.54  % (30080)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.54  % (30077)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.15/0.55  % (30079)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.55  % (30085)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.55  % (30096)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.15/0.55  % (30087)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.55  % (30088)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.55  % (30093)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.15/0.55  % (30086)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.55  % (30086)Instruction limit reached!
% 0.15/0.55  % (30086)------------------------------
% 0.15/0.55  % (30086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (30086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (30086)Termination reason: Unknown
% 0.15/0.55  % (30086)Termination phase: shuffling
% 0.15/0.55  
% 0.15/0.55  % (30086)Memory used [KB]: 1023
% 0.15/0.55  % (30086)Time elapsed: 0.004 s
% 0.15/0.55  % (30086)Instructions burned: 2 (million)
% 0.15/0.55  % (30086)------------------------------
% 0.15/0.55  % (30086)------------------------------
% 0.15/0.55  % (30068)Instruction limit reached!
% 0.15/0.55  % (30068)------------------------------
% 0.15/0.55  % (30068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (30068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (30068)Termination reason: Unknown
% 0.15/0.55  % (30068)Termination phase: Preprocessing 1
% 0.15/0.55  
% 0.15/0.55  % (30068)Memory used [KB]: 1023
% 0.15/0.55  % (30068)Time elapsed: 0.007 s
% 0.15/0.55  % (30068)Instructions burned: 9 (million)
% 0.15/0.55  % (30068)------------------------------
% 0.15/0.55  % (30068)------------------------------
% 0.15/0.55  % (30094)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.55  % (30072)Instruction limit reached!
% 0.15/0.55  % (30072)------------------------------
% 0.15/0.55  % (30072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (30072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (30072)Termination reason: Unknown
% 0.15/0.55  % (30072)Termination phase: Preprocessing 3
% 0.15/0.55  
% 0.15/0.55  % (30072)Memory used [KB]: 1535
% 0.15/0.55  % (30072)Time elapsed: 0.011 s
% 0.15/0.55  % (30072)Instructions burned: 16 (million)
% 0.15/0.55  % (30072)------------------------------
% 0.15/0.55  % (30072)------------------------------
% 0.15/0.55  % (30079)Instruction limit reached!
% 0.15/0.55  % (30079)------------------------------
% 0.15/0.55  % (30079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (30079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (30079)Termination reason: Unknown
% 0.15/0.55  % (30079)Termination phase: Property scanning
% 0.15/0.55  
% 0.15/0.55  % (30079)Memory used [KB]: 1023
% 0.15/0.55  % (30079)Time elapsed: 0.004 s
% 0.15/0.55  % (30079)Instructions burned: 3 (million)
% 0.15/0.55  % (30079)------------------------------
% 0.15/0.55  % (30079)------------------------------
% 0.15/0.56  % (30085)Instruction limit reached!
% 0.15/0.56  % (30085)------------------------------
% 0.15/0.56  % (30085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (30091)Instruction limit reached!
% 0.15/0.56  % (30091)------------------------------
% 0.15/0.56  % (30091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (30091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (30091)Termination reason: Unknown
% 0.15/0.56  % (30091)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (30091)Memory used [KB]: 1791
% 0.15/0.56  % (30091)Time elapsed: 0.034 s
% 0.15/0.56  % (30091)Instructions burned: 47 (million)
% 0.15/0.56  % (30091)------------------------------
% 0.15/0.56  % (30091)------------------------------
% 0.15/0.57  % (30087)Instruction limit reached!
% 0.15/0.57  % (30087)------------------------------
% 0.15/0.57  % (30087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (30087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57  % (30087)Termination reason: Unknown
% 0.15/0.57  % (30087)Termination phase: Preprocessing 3
% 0.15/0.57  
% 0.15/0.57  % (30087)Memory used [KB]: 1535
% 0.15/0.57  % (30087)Time elapsed: 0.010 s
% 0.15/0.57  % (30087)Instructions burned: 15 (million)
% 0.15/0.57  % (30087)------------------------------
% 0.15/0.57  % (30087)------------------------------
% 0.15/0.57  % (30094)Instruction limit reached!
% 0.15/0.57  % (30094)------------------------------
% 0.15/0.57  % (30094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (30085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (30085)Termination reason: Unknown
% 0.15/0.58  % (30085)Termination phase: Property scanning
% 0.15/0.58  
% 0.15/0.58  % (30085)Memory used [KB]: 1663
% 0.15/0.58  % (30085)Time elapsed: 0.012 s
% 0.15/0.58  % (30085)Instructions burned: 17 (million)
% 0.15/0.58  % (30085)------------------------------
% 0.15/0.58  % (30085)------------------------------
% 0.15/0.58  % (30081)Instruction limit reached!
% 0.15/0.58  % (30081)------------------------------
% 0.15/0.58  % (30081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (30081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (30081)Termination reason: Unknown
% 0.15/0.58  % (30081)Termination phase: Saturation
% 0.15/0.58  
% 0.15/0.58  % (30081)Memory used [KB]: 6396
% 0.15/0.58  % (30081)Time elapsed: 0.038 s
% 0.15/0.58  % (30081)Instructions burned: 50 (million)
% 0.15/0.58  % (30081)------------------------------
% 0.15/0.58  % (30081)------------------------------
% 0.15/0.58  % (30090)Instruction limit reached!
% 0.15/0.58  % (30090)------------------------------
% 0.15/0.58  % (30090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (30090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (30090)Termination reason: Unknown
% 0.15/0.58  % (30090)Termination phase: Saturation
% 0.15/0.58  
% 0.15/0.58  % (30090)Memory used [KB]: 6396
% 0.15/0.58  % (30090)Time elapsed: 0.189 s
% 0.15/0.58  % (30090)Instructions burned: 51 (million)
% 0.15/0.58  % (30090)------------------------------
% 0.15/0.58  % (30090)------------------------------
% 0.15/0.58  % (30089)Instruction limit reached!
% 0.15/0.58  % (30089)------------------------------
% 0.15/0.58  % (30089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (30070)Instruction limit reached!
% 0.15/0.58  % (30070)------------------------------
% 0.15/0.58  % (30070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (30070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (30070)Termination reason: Unknown
% 0.15/0.58  % (30070)Termination phase: Saturation
% 0.15/0.58  
% 0.15/0.58  % (30070)Memory used [KB]: 6268
% 0.15/0.58  % (30070)Time elapsed: 0.023 s
% 0.15/0.58  % (30070)Instructions burned: 37 (million)
% 0.15/0.58  % (30070)------------------------------
% 0.15/0.58  % (30070)------------------------------
% 0.15/0.58  % (30089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (30089)Termination reason: Unknown
% 0.15/0.58  % (30089)Termination phase: Saturation
% 0.15/0.58  
% 0.15/0.58  % (30089)Memory used [KB]: 1791
% 0.15/0.58  % (30089)Time elapsed: 0.169 s
% 0.15/0.58  % (30089)Instructions burned: 46 (million)
% 0.15/0.58  % (30089)------------------------------
% 0.15/0.58  % (30089)------------------------------
% 0.15/0.59  % (30095)Instruction limit reached!
% 0.15/0.59  % (30095)------------------------------
% 0.15/0.59  % (30095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59  % (30095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59  % (30095)Termination reason: Unknown
% 0.15/0.59  % (30095)Termination phase: Saturation
% 0.15/0.59  
% 0.15/0.59  % (30095)Memory used [KB]: 6268
% 0.15/0.59  % (30095)Time elapsed: 0.014 s
% 0.15/0.59  % (30095)Instructions burned: 22 (million)
% 0.15/0.59  % (30095)------------------------------
% 0.15/0.59  % (30095)------------------------------
% 0.15/0.59  % (30080)Instruction limit reached!
% 0.15/0.59  % (30080)------------------------------
% 0.15/0.59  % (30080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59  % (30080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59  % (30080)Termination reason: Unknown
% 0.15/0.59  % (30080)Termination phase: Saturation
% 0.15/0.59  
% 0.15/0.59  % (30080)Memory used [KB]: 6140
% 0.15/0.59  % (30080)Time elapsed: 0.196 s
% 0.15/0.59  % (30080)Instructions burned: 21 (million)
% 0.15/0.59  % (30080)------------------------------
% 0.15/0.59  % (30080)------------------------------
% 0.15/0.59  % (30094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59  % (30094)Termination reason: Unknown
% 0.15/0.59  % (30094)Termination phase: Saturation
% 0.15/0.59  
% 0.15/0.59  % (30094)Memory used [KB]: 6140
% 0.15/0.59  % (30094)Time elapsed: 0.186 s
% 0.15/0.59  % (30094)Instructions burned: 21 (million)
% 0.15/0.59  % (30094)------------------------------
% 0.15/0.59  % (30094)------------------------------
% 0.15/0.59  % (30088)Instruction limit reached!
% 0.15/0.59  % (30088)------------------------------
% 0.15/0.59  % (30088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.61  % (30092)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.15/0.61  % (30088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.61  % (30088)Termination reason: Unknown
% 0.15/0.61  % (30088)Termination phase: Saturation
% 0.15/0.61  
% 0.15/0.61  % (30088)Memory used [KB]: 6140
% 0.15/0.61  % (30088)Time elapsed: 0.203 s
% 0.15/0.61  % (30088)Instructions burned: 21 (million)
% 0.15/0.61  % (30088)------------------------------
% 0.15/0.61  % (30088)------------------------------
% 2.01/0.61  % (30084)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.01/0.62  % (30076)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.01/0.62  % (30076)Instruction limit reached!
% 2.01/0.62  % (30076)------------------------------
% 2.01/0.62  % (30076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62  % (30076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62  % (30076)Termination reason: Unknown
% 2.01/0.62  % (30076)Termination phase: shuffling
% 2.01/0.62  
% 2.01/0.62  % (30076)Memory used [KB]: 1023
% 2.01/0.62  % (30076)Time elapsed: 0.003 s
% 2.01/0.62  % (30076)Instructions burned: 2 (million)
% 2.01/0.62  % (30076)------------------------------
% 2.01/0.62  % (30076)------------------------------
% 2.01/0.62  % (30077)Instruction limit reached!
% 2.01/0.62  % (30077)------------------------------
% 2.01/0.62  % (30077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62  % (30077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62  % (30077)Termination reason: Unknown
% 2.01/0.62  % (30077)Termination phase: Saturation
% 2.01/0.62  
% 2.01/0.62  % (30077)Memory used [KB]: 6652
% 2.01/0.62  % (30077)Time elapsed: 0.023 s
% 2.01/0.62  % (30077)Instructions burned: 35 (million)
% 2.01/0.62  % (30077)------------------------------
% 2.01/0.62  % (30077)------------------------------
% 2.01/0.62  % (30067)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 2.21/0.63  % (30096)Instruction limit reached!
% 2.21/0.63  % (30096)------------------------------
% 2.21/0.63  % (30096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.63  % (30096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.63  % (30096)Termination reason: Unknown
% 2.21/0.63  % (30096)Termination phase: Saturation
% 2.21/0.63  
% 2.21/0.63  % (30096)Memory used [KB]: 6396
% 2.21/0.63  % (30096)Time elapsed: 0.225 s
% 2.21/0.63  % (30096)Instructions burned: 41 (million)
% 2.21/0.63  % (30096)------------------------------
% 2.21/0.63  % (30096)------------------------------
% 2.21/0.64  % (30093)Instruction limit reached!
% 2.21/0.64  % (30093)------------------------------
% 2.21/0.64  % (30093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64  % (30093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64  % (30093)Termination reason: Unknown
% 2.21/0.64  % (30093)Termination phase: Saturation
% 2.21/0.64  
% 2.21/0.64  % (30093)Memory used [KB]: 6524
% 2.21/0.64  % (30093)Time elapsed: 0.029 s
% 2.21/0.64  % (30093)Instructions burned: 44 (million)
% 2.21/0.64  % (30093)------------------------------
% 2.21/0.64  % (30093)------------------------------
% 2.21/0.66  % (30066)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 2.21/0.67  % (30099)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.21/0.67  % (30100)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.37/0.71  % (30098)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.37/0.71  % (30092)Instruction limit reached!
% 2.37/0.71  % (30092)------------------------------
% 2.37/0.71  % (30092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71  % (30092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71  % (30092)Termination reason: Unknown
% 2.37/0.71  % (30092)Termination phase: Saturation
% 2.37/0.71  
% 2.37/0.71  % (30092)Memory used [KB]: 6780
% 2.37/0.71  % (30092)Time elapsed: 0.029 s
% 2.37/0.71  % (30092)Instructions burned: 42 (million)
% 2.37/0.71  % (30092)------------------------------
% 2.37/0.71  % (30092)------------------------------
% 2.37/0.73  % (30102)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/148Mi)
% 2.37/0.73  % (30067)Instruction limit reached!
% 2.37/0.73  % (30067)------------------------------
% 2.37/0.73  % (30067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.73  % (30067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.73  % (30067)Termination reason: Unknown
% 2.37/0.73  % (30067)Termination phase: Saturation
% 2.37/0.73  
% 2.37/0.73  % (30067)Memory used [KB]: 6268
% 2.37/0.73  % (30067)Time elapsed: 0.024 s
% 2.37/0.73  % (30067)Instructions burned: 34 (million)
% 2.37/0.73  % (30067)------------------------------
% 2.37/0.73  % (30067)------------------------------
% 2.37/0.73  % (30108)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.37/0.73  % (30110)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.37/0.74  % (30111)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.37/0.74  % (30100)Instruction limit reached!
% 2.37/0.74  % (30100)------------------------------
% 2.37/0.74  % (30100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.74  % (30100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.74  % (30100)Termination reason: Unknown
% 2.37/0.74  % (30100)Termination phase: Saturation
% 2.37/0.74  
% 2.37/0.74  % (30100)Memory used [KB]: 6268
% 2.37/0.74  % (30100)Time elapsed: 0.147 s
% 2.37/0.74  % (30100)Instructions burned: 26 (million)
% 2.37/0.74  % (30100)------------------------------
% 2.37/0.74  % (30100)------------------------------
% 2.37/0.74  % (30099)Instruction limit reached!
% 2.37/0.74  % (30099)------------------------------
% 2.37/0.74  % (30099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.74  % (30103)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 2.37/0.74  % (30099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.74  % (30099)Termination reason: Unknown
% 2.37/0.74  % (30099)Termination phase: Saturation
% 2.37/0.74  
% 2.37/0.74  % (30099)Memory used [KB]: 6268
% 2.37/0.74  % (30099)Time elapsed: 0.029 s
% 2.37/0.74  % (30099)Instructions burned: 47 (million)
% 2.37/0.74  % (30099)------------------------------
% 2.37/0.74  % (30099)------------------------------
% 2.37/0.74  % (30098)Instruction limit reached!
% 2.37/0.74  % (30098)------------------------------
% 2.37/0.74  % (30098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.74  % (30098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.74  % (30098)Termination reason: Unknown
% 2.37/0.74  % (30098)Termination phase: Property scanning
% 2.37/0.74  
% 2.37/0.74  % (30098)Memory used [KB]: 1663
% 2.37/0.74  % (30098)Time elapsed: 0.011 s
% 2.37/0.74  % (30098)Instructions burned: 16 (million)
% 2.37/0.74  % (30098)------------------------------
% 2.37/0.74  % (30098)------------------------------
% 2.53/0.75  % (30112)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.53/0.75  % (30104)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 2.53/0.75  % (30107)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.53/0.76  % (30109)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.53/0.76  % (30120)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.53/0.76  % (30106)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.53/0.76  % (30084)Instruction limit reached!
% 2.53/0.76  % (30084)------------------------------
% 2.53/0.76  % (30084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.76  % (30084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.76  % (30084)Termination reason: Unknown
% 2.53/0.76  % (30084)Termination phase: Saturation
% 2.53/0.76  
% 2.53/0.76  % (30084)Memory used [KB]: 6524
% 2.53/0.76  % (30084)Time elapsed: 0.317 s
% 2.53/0.76  % (30084)Instructions burned: 50 (million)
% 2.53/0.76  % (30084)------------------------------
% 2.53/0.76  % (30084)------------------------------
% 2.53/0.76  % (30105)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 2.59/0.79  % (30115)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.59/0.79  % (30114)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.59/0.79  % (30113)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.59/0.79  % (30116)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.59/0.80  % (30117)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.59/0.80  % (30118)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.59/0.80  % (30119)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.59/0.81  % (30111)First to succeed.
% 2.59/0.81  % (30123)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.64/0.83  % (30124)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/374Mi)
% 2.64/0.85  % (30105)Instruction limit reached!
% 2.64/0.85  % (30105)------------------------------
% 2.64/0.85  % (30105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.85  % (30105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.85  % (30105)Termination reason: Unknown
% 2.70/0.85  % (30105)Termination phase: Saturation
% 2.70/0.85  
% 2.70/0.85  % (30105)Memory used [KB]: 6524
% 2.70/0.85  % (30105)Time elapsed: 0.253 s
% 2.70/0.86  % (30105)Instructions burned: 58 (million)
% 2.70/0.86  % (30105)------------------------------
% 2.70/0.86  % (30105)------------------------------
% 2.70/0.86  % (30122)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.70/0.87  % (30112)Also succeeded, but the first one will report.
% 2.70/0.87  % (30111)Refutation found. Thanks to Tanya!
% 2.70/0.87  % SZS status Theorem for theBenchmark
% 2.70/0.87  % SZS output start Proof for theBenchmark
% See solution above
% 2.70/0.87  % (30111)------------------------------
% 2.70/0.87  % (30111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.87  % (30111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.87  % (30111)Termination reason: Refutation
% 2.70/0.87  
% 2.70/0.87  % (30111)Memory used [KB]: 2558
% 2.70/0.87  % (30111)Time elapsed: 0.194 s
% 2.70/0.87  % (30111)Instructions burned: 35 (million)
% 2.70/0.87  % (30111)------------------------------
% 2.70/0.87  % (30111)------------------------------
% 2.70/0.87  % (30065)Success in time 0.53 s
%------------------------------------------------------------------------------