TSTP Solution File: SWW006_1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW006_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:28:09 EDT 2024

% Result   : Theorem 0.20s 0.59s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  165 (  58 unt;   0 typ;   0 def)
%            Number of atoms       : 6164 (4874 equ)
%            Maximal formula atoms :  942 (  37 avg)
%            Number of connectives : 9280 (3281   ~;1979   |;3984   &)
%                                         (  32 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  128 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     : 5890 (1038 atm;   0 fun;3017 num;1835 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   37 (  32 usr;  34 prp; 0-2 aty)
%            Number of functors    :   26 (  15 usr;  24 con; 0-1 aty)
%            Number of variables   : 1835 (1835   !;   0   ?;1835   :)

% 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(func_def_21,type,
    sF0: $int ).

tff(func_def_22,type,
    sF1: $int ).

tff(func_def_23,type,
    sF2: $int ).

tff(func_def_24,type,
    sF3: $int ).

tff(func_def_25,type,
    sF4: $int ).

tff(func_def_26,type,
    sF5: $int ).

tff(func_def_27,type,
    sF6: $int ).

tff(func_def_28,type,
    sF7: $int ).

tff(f660,plain,
    $false,
    inference(avatar_smt_refutation,[],[f150,f154,f158,f162,f166,f170,f174,f178,f182,f186,f190,f194,f198,f202,f206,f210,f214,f218,f222,f226,f231,f241,f251,f261,f275,f282,f289,f297,f301,f350,f370,f659]) ).

tff(f659,plain,
    ( spl8_1
    | spl8_6
    | ~ spl8_8
    | spl8_10
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_21
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25
    | ~ spl8_27 ),
    inference(avatar_contradiction_clause,[],[f658]) ).

tff(f658,plain,
    ( $false
    | spl8_1
    | spl8_6
    | ~ spl8_8
    | spl8_10
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_21
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25
    | ~ spl8_27 ),
    inference(subsumption_resolution,[],[f657,f230]) ).

tff(f230,plain,
    ( ( 5 = a(z1) )
    | ~ spl8_21 ),
    inference(avatar_component_clause,[],[f229]) ).

tff(f229,plain,
    ( spl8_21
  <=> ( 5 = a(z1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).

tff(f657,plain,
    ( ( 5 != a(z1) )
    | spl8_1
    | spl8_6
    | ~ spl8_8
    | spl8_10
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25
    | ~ spl8_27 ),
    inference(subsumption_resolution,[],[f656,f169]) ).

tff(f169,plain,
    ( ( z1 != z2 )
    | spl8_6 ),
    inference(avatar_component_clause,[],[f168]) ).

tff(f168,plain,
    ( spl8_6
  <=> ( z1 = z2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

tff(f656,plain,
    ( ( z1 = z2 )
    | ( 5 != a(z1) )
    | spl8_1
    | ~ spl8_8
    | spl8_10
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25
    | ~ spl8_27 ),
    inference(subsumption_resolution,[],[f655,f185]) ).

tff(f185,plain,
    ( ( z1 != z3 )
    | spl8_10 ),
    inference(avatar_component_clause,[],[f184]) ).

tff(f184,plain,
    ( spl8_10
  <=> ( z1 = z3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).

tff(f655,plain,
    ( ( z1 = z3 )
    | ( 5 != a(z1) )
    | ( z1 = z2 )
    | spl8_1
    | ~ spl8_8
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25
    | ~ spl8_27 ),
    inference(subsumption_resolution,[],[f654,f177]) ).

tff(f177,plain,
    ( $less(z2,z1)
    | ~ spl8_8 ),
    inference(avatar_component_clause,[],[f176]) ).

tff(f176,plain,
    ( spl8_8
  <=> $less(z2,z1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).

tff(f654,plain,
    ( ~ $less(z2,z1)
    | ( 5 != a(z1) )
    | ( z1 = z3 )
    | ( z1 = z2 )
    | spl8_1
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25
    | ~ spl8_27 ),
    inference(trivial_inequality_removal,[],[f652]) ).

tff(f652,plain,
    ( ~ $less(z2,z1)
    | ( z1 = z2 )
    | ( z1 = z3 )
    | ( 5 != a(z1) )
    | ( 5 != 5 )
    | spl8_1
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25
    | ~ spl8_27 ),
    inference(superposition,[],[f643,f274]) ).

tff(f274,plain,
    ( ( 5 = b(z1) )
    | ~ spl8_25 ),
    inference(avatar_component_clause,[],[f273]) ).

tff(f273,plain,
    ( spl8_25
  <=> ( 5 = b(z1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).

tff(f643,plain,
    ( ! [X0: $int] :
        ( ( b(X0) != 5 )
        | ( z2 = X0 )
        | ( z3 = X0 )
        | ~ $less(z2,X0)
        | ( a(X0) != 5 ) )
    | spl8_1
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_27 ),
    inference(subsumption_resolution,[],[f642,f193]) ).

tff(f193,plain,
    ( $less(sF0,3)
    | ~ spl8_12 ),
    inference(avatar_component_clause,[],[f192]) ).

tff(f192,plain,
    ( spl8_12
  <=> $less(sF0,3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).

tff(f642,plain,
    ( ! [X0: $int] :
        ( ~ $less(sF0,3)
        | ( z3 = X0 )
        | ( a(X0) != 5 )
        | ( z2 = X0 )
        | ( b(X0) != 5 )
        | ~ $less(z2,X0) )
    | spl8_1
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_27 ),
    inference(forward_demodulation,[],[f641,f225]) ).

tff(f225,plain,
    ( ( b(z2) = sF0 )
    | ~ spl8_20 ),
    inference(avatar_component_clause,[],[f224]) ).

tff(f224,plain,
    ( spl8_20
  <=> ( b(z2) = sF0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).

tff(f641,plain,
    ( ! [X0: $int] :
        ( ( b(X0) != 5 )
        | ~ $less(b(z2),3)
        | ~ $less(z2,X0)
        | ( a(X0) != 5 )
        | ( z3 = X0 )
        | ( z2 = X0 ) )
    | spl8_1
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_27 ),
    inference(subsumption_resolution,[],[f640,f149]) ).

tff(f149,plain,
    ( ( z2 != z3 )
    | spl8_1 ),
    inference(avatar_component_clause,[],[f148]) ).

tff(f148,plain,
    ( spl8_1
  <=> ( z2 = z3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

tff(f640,plain,
    ( ! [X0: $int] :
        ( ~ $less(z2,X0)
        | ~ $less(b(z2),3)
        | ( a(X0) != 5 )
        | ( b(X0) != 5 )
        | ( z2 = X0 )
        | ( z3 = X0 )
        | ( z2 = z3 ) )
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_27 ),
    inference(trivial_inequality_removal,[],[f638]) ).

tff(f638,plain,
    ( ! [X0: $int] :
        ( ( a(X0) != 5 )
        | ( z3 = X0 )
        | ( b(X0) != 5 )
        | ( z2 = z3 )
        | ~ $less(z2,X0)
        | ( 10 != 10 )
        | ( z2 = X0 )
        | ~ $less(b(z2),3) )
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_27 ),
    inference(superposition,[],[f636,f260]) ).

tff(f260,plain,
    ( ( 10 = a(z2) )
    | ~ spl8_24 ),
    inference(avatar_component_clause,[],[f259]) ).

tff(f259,plain,
    ( spl8_24
  <=> ( 10 = a(z2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).

tff(f636,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( 10 != a(X1) )
        | ~ $less(X1,X0)
        | ( z3 = X1 )
        | ~ $less(b(X1),3)
        | ( a(X0) != 5 )
        | ( b(X0) != 5 )
        | ( X0 = X1 )
        | ( z3 = X0 ) )
    | ~ spl8_23
    | ~ spl8_27 ),
    inference(subsumption_resolution,[],[f633,f250]) ).

tff(f250,plain,
    ( ( 6 = a(z3) )
    | ~ spl8_23 ),
    inference(avatar_component_clause,[],[f249]) ).

tff(f249,plain,
    ( spl8_23
  <=> ( 6 = a(z3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).

tff(f633,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( b(X0) != 5 )
        | ( 6 != a(z3) )
        | ( z3 = X0 )
        | ( 10 != a(X1) )
        | ~ $less(b(X1),3)
        | ~ $less(X1,X0)
        | ( z3 = X1 )
        | ( a(X0) != 5 )
        | ( X0 = X1 ) )
    | ~ spl8_27 ),
    inference(trivial_inequality_removal,[],[f631]) ).

tff(f631,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( 6 != a(z3) )
        | ( a(X0) != 5 )
        | ( b(X0) != 5 )
        | ~ $less(X1,X0)
        | ( z3 = X1 )
        | ( z3 = X0 )
        | ( 2 != 2 )
        | ( 10 != a(X1) )
        | ( X0 = X1 )
        | ~ $less(b(X1),3) )
    | ~ spl8_27 ),
    inference(superposition,[],[f61,f288]) ).

tff(f288,plain,
    ( ( 2 = b(z3) )
    | ~ spl8_27 ),
    inference(avatar_component_clause,[],[f287]) ).

tff(f287,plain,
    ( spl8_27
  <=> ( 2 = b(z3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).

tff(f61,plain,
    ! [X88: $int,X86: $int,X87: $int] :
      ( ( 2 != b(X88) )
      | ( 5 != b(X87) )
      | ( 5 != a(X87) )
      | ( X86 = X87 )
      | ( 6 != a(X88) )
      | ( 10 != a(X86) )
      | ( X86 = X88 )
      | ~ $less(b(X86),3)
      | ~ $less(X86,X87)
      | ( X87 = X88 ) ),
    inference(cnf_transformation,[],[f18]) ).

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

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

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

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

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

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

tff(f370,plain,
    ( ~ spl8_32
    | spl8_1
    | spl8_6
    | spl8_10
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25 ),
    inference(avatar_split_clause,[],[f366,f273,f259,f249,f224,f192,f184,f168,f148,f368]) ).

tff(f368,plain,
    ( spl8_32
  <=> $less(z2,z3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).

tff(f366,plain,
    ( ~ $less(z2,z3)
    | spl8_1
    | spl8_6
    | spl8_10
    | ~ spl8_12
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25 ),
    inference(subsumption_resolution,[],[f365,f193]) ).

tff(f365,plain,
    ( ~ $less(z2,z3)
    | ~ $less(sF0,3)
    | spl8_1
    | spl8_6
    | spl8_10
    | ~ spl8_20
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25 ),
    inference(forward_demodulation,[],[f364,f225]) ).

tff(f364,plain,
    ( ~ $less(z2,z3)
    | ~ $less(b(z2),3)
    | spl8_1
    | spl8_6
    | spl8_10
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25 ),
    inference(subsumption_resolution,[],[f363,f149]) ).

tff(f363,plain,
    ( ( z2 = z3 )
    | ~ $less(b(z2),3)
    | ~ $less(z2,z3)
    | spl8_6
    | spl8_10
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25 ),
    inference(subsumption_resolution,[],[f362,f169]) ).

tff(f362,plain,
    ( ~ $less(b(z2),3)
    | ( z1 = z2 )
    | ( z2 = z3 )
    | ~ $less(z2,z3)
    | spl8_10
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25 ),
    inference(trivial_inequality_removal,[],[f360]) ).

tff(f360,plain,
    ( ( 10 != 10 )
    | ( z2 = z3 )
    | ~ $less(b(z2),3)
    | ~ $less(z2,z3)
    | ( z1 = z2 )
    | spl8_10
    | ~ spl8_23
    | ~ spl8_24
    | ~ spl8_25 ),
    inference(superposition,[],[f359,f260]) ).

tff(f359,plain,
    ( ! [X0: $int] :
        ( ( a(X0) != 10 )
        | ~ $less(b(X0),3)
        | ( z1 = X0 )
        | ( z3 = X0 )
        | ~ $less(X0,z3) )
    | spl8_10
    | ~ spl8_23
    | ~ spl8_25 ),
    inference(subsumption_resolution,[],[f358,f185]) ).

tff(f358,plain,
    ( ! [X0: $int] :
        ( ( z1 = X0 )
        | ( a(X0) != 10 )
        | ( z1 = z3 )
        | ( z3 = X0 )
        | ~ $less(X0,z3)
        | ~ $less(b(X0),3) )
    | ~ spl8_23
    | ~ spl8_25 ),
    inference(trivial_inequality_removal,[],[f355]) ).

tff(f355,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,z3)
        | ( z1 = z3 )
        | ( z3 = X0 )
        | ( z1 = X0 )
        | ( 5 != 5 )
        | ~ $less(b(X0),3)
        | ( a(X0) != 10 ) )
    | ~ spl8_23
    | ~ spl8_25 ),
    inference(superposition,[],[f327,f274]) ).

tff(f327,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( 5 != b(X1) )
        | ( X0 = X1 )
        | ( a(X0) != 10 )
        | ( z3 = X0 )
        | ~ $less(X0,z3)
        | ( z3 = X1 )
        | ~ $less(b(X0),3) )
    | ~ spl8_23 ),
    inference(trivial_inequality_removal,[],[f325]) ).

tff(f325,plain,
    ( ! [X0: $int,X1: $int] :
        ( ~ $less(b(X0),3)
        | ( a(X0) != 10 )
        | ( X0 = X1 )
        | ( 6 != 6 )
        | ( z3 = X1 )
        | ( 5 != b(X1) )
        | ( z3 = X0 )
        | ~ $less(X0,z3) )
    | ~ spl8_23 ),
    inference(superposition,[],[f72,f250]) ).

tff(f72,plain,
    ! [X126: $int,X124: $int,X125: $int] :
      ( ( 6 != a(X126) )
      | ( X125 = X126 )
      | ~ $less(b(X125),3)
      | ( 10 != a(X125) )
      | ( X124 = X125 )
      | ( 5 != b(X124) )
      | ~ $less(X125,X126)
      | ( X124 = X126 ) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f350,plain,
    ( ~ spl8_30
    | spl8_31
    | ~ spl8_20
    | ~ spl8_24 ),
    inference(avatar_split_clause,[],[f321,f259,f224,f348,f345]) ).

tff(f345,plain,
    ( spl8_30
  <=> ( 2 = sF0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).

tff(f348,plain,
    ( spl8_31
  <=> ! [X0: $int,X1: $int] :
        ( ( z2 = X1 )
        | ( z2 = X0 )
        | ( 5 != b(X1) )
        | ~ $less(z2,X0)
        | ( a(X0) != 5 )
        | ( X0 = X1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).

tff(f321,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( 2 != sF0 )
        | ( z2 = X1 )
        | ( X0 = X1 )
        | ( a(X0) != 5 )
        | ~ $less(z2,X0)
        | ( 5 != b(X1) )
        | ( z2 = X0 ) )
    | ~ spl8_20
    | ~ spl8_24 ),
    inference(subsumption_resolution,[],[f315,f260]) ).

tff(f315,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( z2 = X0 )
        | ( X0 = X1 )
        | ( a(X0) != 5 )
        | ~ $less(z2,X0)
        | ( z2 = X1 )
        | ( 5 != b(X1) )
        | ( 10 != a(z2) )
        | ( 2 != sF0 ) )
    | ~ spl8_20 ),
    inference(superposition,[],[f67,f225]) ).

tff(f67,plain,
    ! [X259: $int,X258: $int,X257: $int] :
      ( ( 2 != b(X259) )
      | ~ $less(X259,X258)
      | ( 5 != a(X258) )
      | ( 10 != a(X259) )
      | ( X257 = X259 )
      | ( X258 = X259 )
      | ( X257 = X258 )
      | ( 5 != b(X257) ) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f301,plain,
    ( ~ spl8_29
    | ~ spl8_20 ),
    inference(avatar_split_clause,[],[f293,f224,f299]) ).

tff(f299,plain,
    ( spl8_29
  <=> $less(sF0,1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).

tff(f293,plain,
    ( ~ $less(sF0,1)
    | ~ spl8_20 ),
    inference(superposition,[],[f73,f225]) ).

tff(f73,plain,
    ! [X93: $int] : ~ $less(b(X93),1),
    inference(cnf_transformation,[],[f18]) ).

tff(f297,plain,
    ( ~ spl8_28
    | ~ spl8_20 ),
    inference(avatar_split_clause,[],[f292,f224,f295]) ).

tff(f295,plain,
    ( spl8_28
  <=> $less(5,sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).

tff(f292,plain,
    ( ~ $less(5,sF0)
    | ~ spl8_20 ),
    inference(superposition,[],[f74,f225]) ).

tff(f74,plain,
    ! [X93: $int] : ~ $less(5,b(X93)),
    inference(cnf_transformation,[],[f18]) ).

tff(f289,plain,
    ( spl8_27
    | ~ spl8_19 ),
    inference(avatar_split_clause,[],[f285,f220,f287]) ).

tff(f220,plain,
    ( spl8_19
  <=> ( 2 = sF7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).

tff(f285,plain,
    ( ( 2 = b(z3) )
    | ~ spl8_19 ),
    inference(forward_demodulation,[],[f145,f221]) ).

tff(f221,plain,
    ( ( 2 = sF7 )
    | ~ spl8_19 ),
    inference(avatar_component_clause,[],[f220]) ).

tff(f145,plain,
    b(z3) = sF7,
    introduced(function_definition,[new_symbols(definition,[sF7])]) ).

tff(f282,plain,
    ( spl8_26
    | ~ spl8_18 ),
    inference(avatar_split_clause,[],[f278,f216,f280]) ).

tff(f280,plain,
    ( spl8_26
  <=> ( 2 = b(z4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).

tff(f216,plain,
    ( spl8_18
  <=> ( 2 = sF6 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).

tff(f278,plain,
    ( ( 2 = b(z4) )
    | ~ spl8_18 ),
    inference(forward_demodulation,[],[f143,f217]) ).

tff(f217,plain,
    ( ( 2 = sF6 )
    | ~ spl8_18 ),
    inference(avatar_component_clause,[],[f216]) ).

tff(f143,plain,
    b(z4) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

tff(f275,plain,
    ( spl8_25
    | ~ spl8_17 ),
    inference(avatar_split_clause,[],[f271,f212,f273]) ).

tff(f212,plain,
    ( spl8_17
  <=> ( 5 = sF5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).

tff(f271,plain,
    ( ( 5 = b(z1) )
    | ~ spl8_17 ),
    inference(forward_demodulation,[],[f141,f213]) ).

tff(f213,plain,
    ( ( 5 = sF5 )
    | ~ spl8_17 ),
    inference(avatar_component_clause,[],[f212]) ).

tff(f141,plain,
    b(z1) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

tff(f261,plain,
    ( spl8_24
    | ~ spl8_16 ),
    inference(avatar_split_clause,[],[f257,f208,f259]) ).

tff(f208,plain,
    ( spl8_16
  <=> ( 10 = sF4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).

tff(f257,plain,
    ( ( 10 = a(z2) )
    | ~ spl8_16 ),
    inference(forward_demodulation,[],[f139,f209]) ).

tff(f209,plain,
    ( ( 10 = sF4 )
    | ~ spl8_16 ),
    inference(avatar_component_clause,[],[f208]) ).

tff(f139,plain,
    a(z2) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

tff(f251,plain,
    ( spl8_23
    | ~ spl8_15 ),
    inference(avatar_split_clause,[],[f247,f204,f249]) ).

tff(f204,plain,
    ( spl8_15
  <=> ( 6 = sF3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).

tff(f247,plain,
    ( ( 6 = a(z3) )
    | ~ spl8_15 ),
    inference(forward_demodulation,[],[f137,f205]) ).

tff(f205,plain,
    ( ( 6 = sF3 )
    | ~ spl8_15 ),
    inference(avatar_component_clause,[],[f204]) ).

tff(f137,plain,
    a(z3) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

tff(f241,plain,
    ( spl8_22
    | ~ spl8_14 ),
    inference(avatar_split_clause,[],[f237,f200,f239]) ).

tff(f239,plain,
    ( spl8_22
  <=> ( 5 = a(z4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).

tff(f200,plain,
    ( spl8_14
  <=> ( 5 = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).

tff(f237,plain,
    ( ( 5 = a(z4) )
    | ~ spl8_14 ),
    inference(forward_demodulation,[],[f135,f201]) ).

tff(f201,plain,
    ( ( 5 = sF2 )
    | ~ spl8_14 ),
    inference(avatar_component_clause,[],[f200]) ).

tff(f135,plain,
    a(z4) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

tff(f231,plain,
    ( spl8_21
    | ~ spl8_13 ),
    inference(avatar_split_clause,[],[f227,f196,f229]) ).

tff(f196,plain,
    ( spl8_13
  <=> ( 5 = sF1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).

tff(f227,plain,
    ( ( 5 = a(z1) )
    | ~ spl8_13 ),
    inference(forward_demodulation,[],[f133,f197]) ).

tff(f197,plain,
    ( ( 5 = sF1 )
    | ~ spl8_13 ),
    inference(avatar_component_clause,[],[f196]) ).

tff(f133,plain,
    a(z1) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

tff(f226,plain,
    spl8_20,
    inference(avatar_split_clause,[],[f131,f224]) ).

tff(f131,plain,
    b(z2) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

tff(f222,plain,
    spl8_19,
    inference(avatar_split_clause,[],[f146,f220]) ).

tff(f146,plain,
    2 = sF7,
    inference(definition_folding,[],[f115,f145]) ).

tff(f115,plain,
    2 = b(z3),
    inference(cnf_transformation,[],[f18]) ).

tff(f218,plain,
    spl8_18,
    inference(avatar_split_clause,[],[f144,f216]) ).

tff(f144,plain,
    2 = sF6,
    inference(definition_folding,[],[f117,f143]) ).

tff(f117,plain,
    2 = b(z4),
    inference(cnf_transformation,[],[f18]) ).

tff(f214,plain,
    spl8_17,
    inference(avatar_split_clause,[],[f142,f212]) ).

tff(f142,plain,
    5 = sF5,
    inference(definition_folding,[],[f118,f141]) ).

tff(f118,plain,
    5 = b(z1),
    inference(cnf_transformation,[],[f18]) ).

tff(f210,plain,
    spl8_16,
    inference(avatar_split_clause,[],[f140,f208]) ).

tff(f140,plain,
    10 = sF4,
    inference(definition_folding,[],[f119,f139]) ).

tff(f119,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f18]) ).

tff(f206,plain,
    spl8_15,
    inference(avatar_split_clause,[],[f138,f204]) ).

tff(f138,plain,
    6 = sF3,
    inference(definition_folding,[],[f121,f137]) ).

tff(f121,plain,
    6 = a(z3),
    inference(cnf_transformation,[],[f18]) ).

tff(f202,plain,
    spl8_14,
    inference(avatar_split_clause,[],[f136,f200]) ).

tff(f136,plain,
    5 = sF2,
    inference(definition_folding,[],[f123,f135]) ).

tff(f123,plain,
    5 = a(z4),
    inference(cnf_transformation,[],[f18]) ).

tff(f198,plain,
    spl8_13,
    inference(avatar_split_clause,[],[f134,f196]) ).

tff(f134,plain,
    5 = sF1,
    inference(definition_folding,[],[f126,f133]) ).

tff(f126,plain,
    5 = a(z1),
    inference(cnf_transformation,[],[f18]) ).

tff(f194,plain,
    spl8_12,
    inference(avatar_split_clause,[],[f132,f192]) ).

tff(f132,plain,
    $less(sF0,3),
    inference(definition_folding,[],[f129,f131]) ).

tff(f129,plain,
    $less(b(z2),3),
    inference(cnf_transformation,[],[f18]) ).

tff(f190,plain,
    ~ spl8_11,
    inference(avatar_split_clause,[],[f130,f188]) ).

tff(f188,plain,
    ( spl8_11
  <=> ( z2 = z5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).

tff(f130,plain,
    z2 != z5,
    inference(cnf_transformation,[],[f18]) ).

tff(f186,plain,
    ~ spl8_10,
    inference(avatar_split_clause,[],[f128,f184]) ).

tff(f128,plain,
    z1 != z3,
    inference(cnf_transformation,[],[f18]) ).

tff(f182,plain,
    ~ spl8_9,
    inference(avatar_split_clause,[],[f127,f180]) ).

tff(f180,plain,
    ( spl8_9
  <=> ( z1 = z4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).

tff(f127,plain,
    z1 != z4,
    inference(cnf_transformation,[],[f18]) ).

tff(f178,plain,
    spl8_8,
    inference(avatar_split_clause,[],[f125,f176]) ).

tff(f125,plain,
    $less(z2,z1),
    inference(cnf_transformation,[],[f18]) ).

tff(f174,plain,
    ~ spl8_7,
    inference(avatar_split_clause,[],[f124,f172]) ).

tff(f172,plain,
    ( spl8_7
  <=> ( z3 = z4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).

tff(f124,plain,
    z3 != z4,
    inference(cnf_transformation,[],[f18]) ).

tff(f170,plain,
    ~ spl8_6,
    inference(avatar_split_clause,[],[f122,f168]) ).

tff(f122,plain,
    z1 != z2,
    inference(cnf_transformation,[],[f18]) ).

tff(f166,plain,
    ~ spl8_5,
    inference(avatar_split_clause,[],[f120,f164]) ).

tff(f164,plain,
    ( spl8_5
  <=> ( z2 = z4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).

tff(f120,plain,
    z2 != z4,
    inference(cnf_transformation,[],[f18]) ).

tff(f162,plain,
    ~ spl8_4,
    inference(avatar_split_clause,[],[f116,f160]) ).

tff(f160,plain,
    ( spl8_4
  <=> ( z1 = z5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

tff(f116,plain,
    z1 != z5,
    inference(cnf_transformation,[],[f18]) ).

tff(f158,plain,
    ~ spl8_3,
    inference(avatar_split_clause,[],[f114,f156]) ).

tff(f156,plain,
    ( spl8_3
  <=> ( z4 = z5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

tff(f114,plain,
    z4 != z5,
    inference(cnf_transformation,[],[f18]) ).

tff(f154,plain,
    ~ spl8_2,
    inference(avatar_split_clause,[],[f113,f152]) ).

tff(f152,plain,
    ( spl8_2
  <=> ( z3 = z5 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

tff(f113,plain,
    z3 != z5,
    inference(cnf_transformation,[],[f18]) ).

tff(f150,plain,
    ~ spl8_1,
    inference(avatar_split_clause,[],[f112,f148]) ).

tff(f112,plain,
    z2 != z3,
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW006_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.13  % Command    : run_vampire %s %d THM
% 0.11/0.35  % Computer : n013.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit   : 300
% 0.11/0.35  % WCLimit    : 300
% 0.11/0.35  % DateTime   : Wed Jun 19 05:59:39 EDT 2024
% 0.11/0.35  % CPUTime    : 
% 0.11/0.37  This is a TF0_THM_EQU_ARI problem
% 0.11/0.37  Running first-order theorem proving
% 0.11/0.37  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.43  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43  % (7862)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)
% 0.20/0.43  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43  % (7858)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)
% 0.20/0.44  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44  % (7861)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)
% 0.20/0.44  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44  % (7860)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)
% 0.20/0.44  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44  % (7859)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)
% 0.20/0.44  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44  % (7863)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)
% 0.20/0.44  % (7860)Instruction limit reached!
% 0.20/0.44  % (7860)------------------------------
% 0.20/0.44  % (7860)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44  % (7860)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44  % (7860)Termination reason: Time limit
% 0.20/0.44  % (7860)Termination phase: Property scanning
% 0.20/0.44  
% 0.20/0.44  % (7860)Memory used [KB]: 842
% 0.20/0.44  % (7860)Time elapsed: 0.003 s
% 0.20/0.44  % (7862)Instruction limit reached!
% 0.20/0.44  % (7862)------------------------------
% 0.20/0.44  % (7862)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44  % (7860)Instructions burned: 4 (million)
% 0.20/0.44  % (7862)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44  % (7862)Termination reason: Time limit
% 0.20/0.44  % (7862)Termination phase: Preprocessing 3
% 0.20/0.44  
% 0.20/0.44  % (7862)Memory used [KB]: 1423
% 0.20/0.44  % (7862)Time elapsed: 0.008 s
% 0.20/0.44  % (7862)Instructions burned: 15 (million)
% 0.20/0.44  % (7859)Instruction limit reached!
% 0.20/0.44  % (7859)------------------------------
% 0.20/0.44  % (7859)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44  % (7859)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44  % (7859)Termination reason: Time limit
% 0.20/0.44  % (7859)Termination phase: Preprocessing 1
% 0.20/0.44  
% 0.20/0.44  % (7859)Memory used [KB]: 926
% 0.20/0.44  % (7859)Time elapsed: 0.005 s
% 0.20/0.44  % (7859)Instructions burned: 8 (million)
% 0.20/0.44  % (7858)Instruction limit reached!
% 0.20/0.44  % (7858)------------------------------
% 0.20/0.44  % (7858)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44  % (7858)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44  % (7858)Termination reason: Time limit
% 0.20/0.44  % (7858)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (7858)Memory used [KB]: 1531
% 0.20/0.44  % (7858)Time elapsed: 0.011 s
% 0.20/0.44  % (7858)Instructions burned: 38 (million)
% 0.20/0.45  % (7863)Instruction limit reached!
% 0.20/0.45  % (7863)------------------------------
% 0.20/0.45  % (7863)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.45  % (7863)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.45  % (7863)Termination reason: Time limit
% 0.20/0.45  % (7863)Termination phase: Saturation
% 0.20/0.45  
% 0.20/0.45  % (7863)Memory used [KB]: 1513
% 0.20/0.45  % (7863)Time elapsed: 0.016 s
% 0.20/0.45  % (7863)Instructions burned: 32 (million)
% 0.20/0.45  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.45  % (7857)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)
% 0.20/0.45  % (7861)Instruction limit reached!
% 0.20/0.45  % (7861)------------------------------
% 0.20/0.45  % (7861)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.45  % (7861)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.45  % (7861)Termination reason: Time limit
% 0.20/0.45  % (7861)Termination phase: Saturation
% 0.20/0.45  
% 0.20/0.45  % (7861)Memory used [KB]: 1531
% 0.20/0.45  % (7861)Time elapsed: 0.019 s
% 0.20/0.45  % (7861)Instructions burned: 38 (million)
% 0.20/0.48  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48  % (7867)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.49  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49  % (7865)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)
% 0.20/0.49  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49  % (7866)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)
% 0.20/0.49  % (7866)Instruction limit reached!
% 0.20/0.49  % (7866)------------------------------
% 0.20/0.49  % (7866)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49  % (7866)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49  % (7866)Termination reason: Time limit
% 0.20/0.49  % (7866)Termination phase: shuffling
% 0.20/0.49  
% 0.20/0.49  % (7866)Memory used [KB]: 838
% 0.20/0.49  % (7866)Time elapsed: 0.002 s
% 0.20/0.49  % (7866)Instructions burned: 2 (million)
% 0.20/0.49  % (7867)Instruction limit reached!
% 0.20/0.49  % (7867)------------------------------
% 0.20/0.49  % (7867)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49  % (7867)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49  % (7867)Termination reason: Time limit
% 0.20/0.49  % (7867)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (7867)Memory used [KB]: 1842
% 0.20/0.49  % (7867)Time elapsed: 0.015 s
% 0.20/0.49  % (7867)Instructions burned: 35 (million)
% 0.20/0.49  % (7865)Instruction limit reached!
% 0.20/0.49  % (7865)------------------------------
% 0.20/0.49  % (7865)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49  % (7865)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49  % (7865)Termination reason: Time limit
% 0.20/0.49  % (7865)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (7865)Memory used [KB]: 1598
% 0.20/0.49  % (7865)Time elapsed: 0.008 s
% 0.20/0.49  % (7865)Instructions burned: 26 (million)
% 0.20/0.50  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50  % (7864)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)
% 0.20/0.51  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51  % (7868)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)
% 0.20/0.51  % (7868)Instruction limit reached!
% 0.20/0.51  % (7868)------------------------------
% 0.20/0.51  % (7868)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.51  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51  % (7869)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)
% 0.20/0.51  % (7868)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.51  % (7868)Termination reason: Time limit
% 0.20/0.51  % (7868)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (7868)Memory used [KB]: 844
% 0.20/0.51  % (7868)Time elapsed: 0.004 s
% 0.20/0.51  % (7868)Instructions burned: 5 (million)
% 0.20/0.51  % (7869)Instruction limit reached!
% 0.20/0.51  % (7869)------------------------------
% 0.20/0.51  % (7869)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.51  % (7869)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.51  % (7864)Instruction limit reached!
% 0.20/0.51  % (7864)------------------------------
% 0.20/0.51  % (7864)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.51  % (7864)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.51  % (7864)Termination reason: Time limit
% 0.20/0.51  % (7864)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (7864)Memory used [KB]: 1518
% 0.20/0.51  % (7864)Time elapsed: 0.018 s
% 0.20/0.51  % (7864)Instructions burned: 37 (million)
% 0.20/0.51  % (7869)Termination reason: Time limit
% 0.20/0.51  % (7869)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (7869)Memory used [KB]: 842
% 0.20/0.51  % (7869)Time elapsed: 0.003 s
% 0.20/0.51  % (7869)Instructions burned: 2 (million)
% 0.20/0.53  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53  % (7872)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 (2998ds/2Mi)
% 0.20/0.53  % (7872)Instruction limit reached!
% 0.20/0.53  % (7872)------------------------------
% 0.20/0.53  % (7872)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.53  % (7872)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.53  % (7872)Termination reason: Time limit
% 0.20/0.53  % (7872)Termination phase: Property scanning
% 0.20/0.53  
% 0.20/0.53  % (7872)Memory used [KB]: 842
% 0.20/0.53  % (7872)Time elapsed: 0.002 s
% 0.20/0.53  % (7872)Instructions burned: 4 (million)
% 0.20/0.54  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.54  % (7870)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.20/0.54  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.54  % (7871)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 (2998ds/50Mi)
% 0.20/0.55  % (7870)Instruction limit reached!
% 0.20/0.55  % (7870)------------------------------
% 0.20/0.55  % (7870)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.55  % (7870)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.55  % (7870)Termination reason: Time limit
% 0.20/0.55  % (7870)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (7870)Memory used [KB]: 1484
% 0.20/0.55  % (7870)Time elapsed: 0.011 s
% 0.20/0.55  % (7870)Instructions burned: 21 (million)
% 0.20/0.55  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.55  % (7873)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.55  % (7873)Instruction limit reached!
% 0.20/0.55  % (7873)------------------------------
% 0.20/0.55  % (7873)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.55  % (7873)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.55  % (7873)Termination reason: Time limit
% 0.20/0.55  % (7873)Termination phase: Preprocessing 1
% 0.20/0.55  
% 0.20/0.55  % (7873)Memory used [KB]: 912
% 0.20/0.55  % (7873)Time elapsed: 0.003 s
% 0.20/0.55  % (7873)Instructions burned: 6 (million)
% 0.20/0.56  % (7871)Instruction limit reached!
% 0.20/0.56  % (7871)------------------------------
% 0.20/0.56  % (7871)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.56  % (7871)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.56  % (7871)Termination reason: Time limit
% 0.20/0.56  % (7871)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (7871)Memory used [KB]: 1613
% 0.20/0.56  % (7871)Time elapsed: 0.023 s
% 0.20/0.56  % (7871)Instructions burned: 50 (million)
% 0.20/0.57  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.57  % (7874)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 (2998ds/49Mi)
% 0.20/0.57  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.57  % (7875)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)
% 0.20/0.58  % (7875)Instruction limit reached!
% 0.20/0.58  % (7875)------------------------------
% 0.20/0.58  % (7875)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.58  % (7875)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.58  % (7875)Termination reason: Time limit
% 0.20/0.58  % (7875)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (7875)Memory used [KB]: 1485
% 0.20/0.58  % (7875)Time elapsed: 0.009 s
% 0.20/0.58  % (7875)Instructions burned: 15 (million)
% 0.20/0.58  % (7857)First to succeed.
% 0.20/0.58  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.58  % (7876)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 (2998ds/2Mi)
% 0.20/0.58  % (7876)Instruction limit reached!
% 0.20/0.58  % (7876)------------------------------
% 0.20/0.58  % (7876)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.58  % (7876)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.58  % (7876)Termination reason: Time limit
% 0.20/0.58  % (7876)Termination phase: shuffling
% 0.20/0.58  
% 0.20/0.58  % (7876)Memory used [KB]: 838
% 0.20/0.58  % (7876)Time elapsed: 0.003 s
% 0.20/0.58  % (7876)Instructions burned: 2 (million)
% 0.20/0.59  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.59  % (7878)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.20/0.59  % (7857)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7856"
% 0.20/0.59  % (7856)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.59  % (7857)Refutation found. Thanks to Tanya!
% 0.20/0.59  % SZS status Theorem for theBenchmark
% 0.20/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59  % (7857)------------------------------
% 0.20/0.59  % (7857)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.59  % (7857)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.59  % (7857)Termination reason: Refutation
% 0.20/0.59  
% 0.20/0.59  % (7857)Memory used [KB]: 1659
% 0.20/0.59  % (7857)Time elapsed: 0.140 s
% 0.20/0.59  % (7857)Instructions burned: 245 (million)
% 0.20/0.59  % (7857)------------------------------
% 0.20/0.59  % (7857)------------------------------
% 0.20/0.59  % (7856)Success in time 0.205 s
%------------------------------------------------------------------------------