TSTP Solution File: SWV094+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV094+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 04:02:29 EDT 2024

% Result   : Theorem 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  220 (  90 unt;   1 typ;   0 def)
%            Number of atoms       : 8971 (1054 equ)
%            Maximal formula atoms :  115 (  40 avg)
%            Number of connectives : 3601 (1487   ~;1479   |; 570   &)
%                                         (  45 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       : 6638 (6638 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   75 (  73 usr;  69 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   62 (  39   !;  22   ?;  12   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_7,type,
    sQ6_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f616,plain,
    $false,
    inference(avatar_sat_refutation,[],[f505,f510,f515,f520,f525,f539,f544,f549,f554,f559,f561,f562,f563,f564,f565,f566,f567,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f597,f603,f609,f615]) ).

tff(f615,plain,
    ( spl7_34
    | ~ spl7_35
    | ~ spl7_36
    | ~ spl7_37
    | ~ spl7_38 ),
    inference(avatar_contradiction_clause,[],[f614]) ).

tff(f614,plain,
    ( $false
    | spl7_34
    | ~ spl7_35
    | ~ spl7_36
    | ~ spl7_37
    | ~ spl7_38 ),
    inference(subsumption_resolution,[],[f613,f524]) ).

tff(f524,plain,
    ( leq(n0,sK1)
    | ~ spl7_38 ),
    inference(avatar_component_clause,[],[f522]) ).

tff(f522,plain,
    ( spl7_38
  <=> leq(n0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_38])]) ).

tff(f613,plain,
    ( ~ leq(n0,sK1)
    | spl7_34
    | ~ spl7_35
    | ~ spl7_36
    | ~ spl7_37 ),
    inference(subsumption_resolution,[],[f612,f519]) ).

tff(f519,plain,
    ( leq(n0,sK2)
    | ~ spl7_37 ),
    inference(avatar_component_clause,[],[f517]) ).

tff(f517,plain,
    ( spl7_37
  <=> leq(n0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_37])]) ).

tff(f612,plain,
    ( ~ leq(n0,sK2)
    | ~ leq(n0,sK1)
    | spl7_34
    | ~ spl7_35
    | ~ spl7_36 ),
    inference(subsumption_resolution,[],[f611,f514]) ).

tff(f514,plain,
    ( leq(sK1,n2)
    | ~ spl7_36 ),
    inference(avatar_component_clause,[],[f512]) ).

tff(f512,plain,
    ( spl7_36
  <=> leq(sK1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_36])]) ).

tff(f611,plain,
    ( ~ leq(sK1,n2)
    | ~ leq(n0,sK2)
    | ~ leq(n0,sK1)
    | spl7_34
    | ~ spl7_35 ),
    inference(subsumption_resolution,[],[f610,f509]) ).

tff(f509,plain,
    ( leq(sK2,minus(pv5,n1))
    | ~ spl7_35 ),
    inference(avatar_component_clause,[],[f507]) ).

tff(f507,plain,
    ( spl7_35
  <=> leq(sK2,minus(pv5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_35])]) ).

tff(f610,plain,
    ( ~ leq(sK2,minus(pv5,n1))
    | ~ leq(sK1,n2)
    | ~ leq(n0,sK2)
    | ~ leq(n0,sK1)
    | spl7_34 ),
    inference(resolution,[],[f504,f308]) ).

tff(f308,plain,
    ! [X2: $i,X3: $i] :
      ( sQ6_eqProxy($i,use,a_select3(z_defuse,X2,X3))
      | ~ leq(X3,minus(pv5,n1))
      | ~ leq(X2,n2)
      | ~ leq(n0,X3)
      | ~ leq(n0,X2) ),
    inference(equality_proxy_replacement,[],[f189,f295]) ).

tff(f295,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ6_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).

tff(f189,plain,
    ! [X2: $i,X3: $i] :
      ( ( use = a_select3(z_defuse,X2,X3) )
      | ~ leq(X3,minus(pv5,n1))
      | ~ leq(X2,n2)
      | ~ leq(n0,X3)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f144]) ).

tff(f144,plain,
    ( ( ( ( ( ( ( use != a_select3(z_defuse,sK3,sK4) )
              | ( use != a_select3(u_defuse,sK3,sK4) ) )
            & leq(sK4,minus(pv5,n1))
            & leq(sK3,n2)
            & leq(n0,sK4)
            & leq(n0,sK3) )
          | ~ leq(pv51,minus(n6,n1))
          | ~ leq(pv5,minus(n999,n1))
          | ~ leq(n0,pv51)
          | ~ leq(n0,pv5)
          | ( use != a_select2(xinit_noise_defuse,n5) )
          | ( use != a_select2(xinit_noise_defuse,n4) )
          | ( use != a_select2(xinit_noise_defuse,n3) )
          | ( use != a_select2(xinit_noise_defuse,n2) )
          | ( use != a_select2(xinit_noise_defuse,n1) )
          | ( use != a_select2(xinit_noise_defuse,n0) )
          | ( use != a_select2(xinit_mean_defuse,n5) )
          | ( use != a_select2(xinit_mean_defuse,n4) )
          | ( use != a_select2(xinit_mean_defuse,n3) )
          | ( use != a_select2(xinit_mean_defuse,n2) )
          | ( use != a_select2(xinit_mean_defuse,n1) )
          | ( use != a_select2(xinit_mean_defuse,n0) )
          | ( use != a_select2(xinit_defuse,n5) )
          | ( use != a_select2(xinit_defuse,n4) )
          | ( use != a_select2(xinit_defuse,n3) )
          | ( use != a_select3(u_defuse,n2,n0) )
          | ( use != a_select3(u_defuse,n1,n0) )
          | ( use != a_select3(u_defuse,n0,n0) )
          | ( use != a_select2(sigma_defuse,n5) )
          | ( use != a_select2(sigma_defuse,n4) )
          | ( use != a_select2(sigma_defuse,n3) )
          | ( use != a_select2(sigma_defuse,n2) )
          | ( use != a_select2(sigma_defuse,n1) )
          | ( use != a_select2(sigma_defuse,n0) )
          | ( use != a_select2(rho_defuse,n2) )
          | ( use != a_select2(rho_defuse,n1) )
          | ( use != a_select2(rho_defuse,n0) ) )
        & ( pv51 = pv52 ) )
      | sP0 )
    & ! [X2,X3] :
        ( ( ( use = a_select3(z_defuse,X2,X3) )
          & ( use = a_select3(u_defuse,X2,X3) ) )
        | ~ leq(X3,minus(pv5,n1))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & leq(pv52,minus(n6,n1))
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv52)
    & leq(n0,pv51)
    & leq(n0,pv5)
    & ( use = a_select2(xinit_noise_defuse,n5) )
    & ( use = a_select2(xinit_noise_defuse,n4) )
    & ( use = a_select2(xinit_noise_defuse,n3) )
    & ( use = a_select2(xinit_noise_defuse,n2) )
    & ( use = a_select2(xinit_noise_defuse,n1) )
    & ( use = a_select2(xinit_noise_defuse,n0) )
    & ( use = a_select2(xinit_mean_defuse,n5) )
    & ( use = a_select2(xinit_mean_defuse,n4) )
    & ( use = a_select2(xinit_mean_defuse,n3) )
    & ( use = a_select2(xinit_mean_defuse,n2) )
    & ( use = a_select2(xinit_mean_defuse,n1) )
    & ( use = a_select2(xinit_mean_defuse,n0) )
    & ( use = a_select2(xinit_defuse,n5) )
    & ( use = a_select2(xinit_defuse,n4) )
    & ( use = a_select2(xinit_defuse,n3) )
    & ( use = a_select3(u_defuse,n2,n0) )
    & ( use = a_select3(u_defuse,n1,n0) )
    & ( use = a_select3(u_defuse,n0,n0) )
    & ( use = a_select2(sigma_defuse,n5) )
    & ( use = a_select2(sigma_defuse,n4) )
    & ( use = a_select2(sigma_defuse,n3) )
    & ( use = a_select2(sigma_defuse,n2) )
    & ( use = a_select2(sigma_defuse,n1) )
    & ( use = a_select2(sigma_defuse,n0) )
    & ( use = a_select2(rho_defuse,n2) )
    & ( use = a_select2(rho_defuse,n1) )
    & ( use = a_select2(rho_defuse,n0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f142,f143]) ).

tff(f143,plain,
    ( ? [X0,X1] :
        ( ( ( use != a_select3(z_defuse,X0,X1) )
          | ( use != a_select3(u_defuse,X0,X1) ) )
        & leq(X1,minus(pv5,n1))
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( ( ( use != a_select3(z_defuse,sK3,sK4) )
        | ( use != a_select3(u_defuse,sK3,sK4) ) )
      & leq(sK4,minus(pv5,n1))
      & leq(sK3,n2)
      & leq(n0,sK4)
      & leq(n0,sK3) ) ),
    introduced(choice_axiom,[]) ).

tff(f142,plain,
    ( ( ( ( ? [X0,X1] :
              ( ( ( use != a_select3(z_defuse,X0,X1) )
                | ( use != a_select3(u_defuse,X0,X1) ) )
              & leq(X1,minus(pv5,n1))
              & leq(X0,n2)
              & leq(n0,X1)
              & leq(n0,X0) )
          | ~ leq(pv51,minus(n6,n1))
          | ~ leq(pv5,minus(n999,n1))
          | ~ leq(n0,pv51)
          | ~ leq(n0,pv5)
          | ( use != a_select2(xinit_noise_defuse,n5) )
          | ( use != a_select2(xinit_noise_defuse,n4) )
          | ( use != a_select2(xinit_noise_defuse,n3) )
          | ( use != a_select2(xinit_noise_defuse,n2) )
          | ( use != a_select2(xinit_noise_defuse,n1) )
          | ( use != a_select2(xinit_noise_defuse,n0) )
          | ( use != a_select2(xinit_mean_defuse,n5) )
          | ( use != a_select2(xinit_mean_defuse,n4) )
          | ( use != a_select2(xinit_mean_defuse,n3) )
          | ( use != a_select2(xinit_mean_defuse,n2) )
          | ( use != a_select2(xinit_mean_defuse,n1) )
          | ( use != a_select2(xinit_mean_defuse,n0) )
          | ( use != a_select2(xinit_defuse,n5) )
          | ( use != a_select2(xinit_defuse,n4) )
          | ( use != a_select2(xinit_defuse,n3) )
          | ( use != a_select3(u_defuse,n2,n0) )
          | ( use != a_select3(u_defuse,n1,n0) )
          | ( use != a_select3(u_defuse,n0,n0) )
          | ( use != a_select2(sigma_defuse,n5) )
          | ( use != a_select2(sigma_defuse,n4) )
          | ( use != a_select2(sigma_defuse,n3) )
          | ( use != a_select2(sigma_defuse,n2) )
          | ( use != a_select2(sigma_defuse,n1) )
          | ( use != a_select2(sigma_defuse,n0) )
          | ( use != a_select2(rho_defuse,n2) )
          | ( use != a_select2(rho_defuse,n1) )
          | ( use != a_select2(rho_defuse,n0) ) )
        & ( pv51 = pv52 ) )
      | sP0 )
    & ! [X2,X3] :
        ( ( ( use = a_select3(z_defuse,X2,X3) )
          & ( use = a_select3(u_defuse,X2,X3) ) )
        | ~ leq(X3,minus(pv5,n1))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & leq(pv52,minus(n6,n1))
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv52)
    & leq(n0,pv51)
    & leq(n0,pv5)
    & ( use = a_select2(xinit_noise_defuse,n5) )
    & ( use = a_select2(xinit_noise_defuse,n4) )
    & ( use = a_select2(xinit_noise_defuse,n3) )
    & ( use = a_select2(xinit_noise_defuse,n2) )
    & ( use = a_select2(xinit_noise_defuse,n1) )
    & ( use = a_select2(xinit_noise_defuse,n0) )
    & ( use = a_select2(xinit_mean_defuse,n5) )
    & ( use = a_select2(xinit_mean_defuse,n4) )
    & ( use = a_select2(xinit_mean_defuse,n3) )
    & ( use = a_select2(xinit_mean_defuse,n2) )
    & ( use = a_select2(xinit_mean_defuse,n1) )
    & ( use = a_select2(xinit_mean_defuse,n0) )
    & ( use = a_select2(xinit_defuse,n5) )
    & ( use = a_select2(xinit_defuse,n4) )
    & ( use = a_select2(xinit_defuse,n3) )
    & ( use = a_select3(u_defuse,n2,n0) )
    & ( use = a_select3(u_defuse,n1,n0) )
    & ( use = a_select3(u_defuse,n0,n0) )
    & ( use = a_select2(sigma_defuse,n5) )
    & ( use = a_select2(sigma_defuse,n4) )
    & ( use = a_select2(sigma_defuse,n3) )
    & ( use = a_select2(sigma_defuse,n2) )
    & ( use = a_select2(sigma_defuse,n1) )
    & ( use = a_select2(sigma_defuse,n0) )
    & ( use = a_select2(rho_defuse,n2) )
    & ( use = a_select2(rho_defuse,n1) )
    & ( use = a_select2(rho_defuse,n0) ) ),
    inference(rectify,[],[f137]) ).

tff(f137,plain,
    ( ( ( ( ? [X2,X3] :
              ( ( ( use != a_select3(z_defuse,X2,X3) )
                | ( use != a_select3(u_defuse,X2,X3) ) )
              & leq(X3,minus(pv5,n1))
              & leq(X2,n2)
              & leq(n0,X3)
              & leq(n0,X2) )
          | ~ leq(pv51,minus(n6,n1))
          | ~ leq(pv5,minus(n999,n1))
          | ~ leq(n0,pv51)
          | ~ leq(n0,pv5)
          | ( use != a_select2(xinit_noise_defuse,n5) )
          | ( use != a_select2(xinit_noise_defuse,n4) )
          | ( use != a_select2(xinit_noise_defuse,n3) )
          | ( use != a_select2(xinit_noise_defuse,n2) )
          | ( use != a_select2(xinit_noise_defuse,n1) )
          | ( use != a_select2(xinit_noise_defuse,n0) )
          | ( use != a_select2(xinit_mean_defuse,n5) )
          | ( use != a_select2(xinit_mean_defuse,n4) )
          | ( use != a_select2(xinit_mean_defuse,n3) )
          | ( use != a_select2(xinit_mean_defuse,n2) )
          | ( use != a_select2(xinit_mean_defuse,n1) )
          | ( use != a_select2(xinit_mean_defuse,n0) )
          | ( use != a_select2(xinit_defuse,n5) )
          | ( use != a_select2(xinit_defuse,n4) )
          | ( use != a_select2(xinit_defuse,n3) )
          | ( use != a_select3(u_defuse,n2,n0) )
          | ( use != a_select3(u_defuse,n1,n0) )
          | ( use != a_select3(u_defuse,n0,n0) )
          | ( use != a_select2(sigma_defuse,n5) )
          | ( use != a_select2(sigma_defuse,n4) )
          | ( use != a_select2(sigma_defuse,n3) )
          | ( use != a_select2(sigma_defuse,n2) )
          | ( use != a_select2(sigma_defuse,n1) )
          | ( use != a_select2(sigma_defuse,n0) )
          | ( use != a_select2(rho_defuse,n2) )
          | ( use != a_select2(rho_defuse,n1) )
          | ( use != a_select2(rho_defuse,n0) ) )
        & ( pv51 = pv52 ) )
      | sP0 )
    & ! [X0,X1] :
        ( ( ( use = a_select3(z_defuse,X0,X1) )
          & ( use = a_select3(u_defuse,X0,X1) ) )
        | ~ leq(X1,minus(pv5,n1))
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & leq(pv52,minus(n6,n1))
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv52)
    & leq(n0,pv51)
    & leq(n0,pv5)
    & ( use = a_select2(xinit_noise_defuse,n5) )
    & ( use = a_select2(xinit_noise_defuse,n4) )
    & ( use = a_select2(xinit_noise_defuse,n3) )
    & ( use = a_select2(xinit_noise_defuse,n2) )
    & ( use = a_select2(xinit_noise_defuse,n1) )
    & ( use = a_select2(xinit_noise_defuse,n0) )
    & ( use = a_select2(xinit_mean_defuse,n5) )
    & ( use = a_select2(xinit_mean_defuse,n4) )
    & ( use = a_select2(xinit_mean_defuse,n3) )
    & ( use = a_select2(xinit_mean_defuse,n2) )
    & ( use = a_select2(xinit_mean_defuse,n1) )
    & ( use = a_select2(xinit_mean_defuse,n0) )
    & ( use = a_select2(xinit_defuse,n5) )
    & ( use = a_select2(xinit_defuse,n4) )
    & ( use = a_select2(xinit_defuse,n3) )
    & ( use = a_select3(u_defuse,n2,n0) )
    & ( use = a_select3(u_defuse,n1,n0) )
    & ( use = a_select3(u_defuse,n0,n0) )
    & ( use = a_select2(sigma_defuse,n5) )
    & ( use = a_select2(sigma_defuse,n4) )
    & ( use = a_select2(sigma_defuse,n3) )
    & ( use = a_select2(sigma_defuse,n2) )
    & ( use = a_select2(sigma_defuse,n1) )
    & ( use = a_select2(sigma_defuse,n0) )
    & ( use = a_select2(rho_defuse,n2) )
    & ( use = a_select2(rho_defuse,n1) )
    & ( use = a_select2(rho_defuse,n0) ) ),
    inference(definition_folding,[],[f109,f136]) ).

tff(f136,plain,
    ( ( ( ? [X4,X5] :
            ( ( ( use != a_select3(z_defuse,X4,X5) )
              | ( use != a_select3(u_defuse,X4,X5) ) )
            & leq(X5,minus(pv5,n1))
            & leq(X4,n2)
            & leq(n0,X5)
            & leq(n0,X4) )
        | ~ leq(pv51,minus(n6,n1))
        | ~ leq(pv5,minus(n999,n1))
        | ~ leq(n0,pv51)
        | ~ leq(n0,pv5)
        | ( use != a_select2(xinit_noise_defuse,n5) )
        | ( use != a_select2(xinit_noise_defuse,n4) )
        | ( use != a_select2(xinit_noise_defuse,n3) )
        | ( use != a_select2(xinit_noise_defuse,n2) )
        | ( use != a_select2(xinit_noise_defuse,n1) )
        | ( use != a_select2(xinit_noise_defuse,n0) )
        | ( use != a_select2(xinit_mean_defuse,n5) )
        | ( use != a_select2(xinit_mean_defuse,n4) )
        | ( use != a_select2(xinit_mean_defuse,n3) )
        | ( use != a_select2(xinit_mean_defuse,n2) )
        | ( use != a_select2(xinit_mean_defuse,n1) )
        | ( use != a_select2(xinit_mean_defuse,n0) )
        | ( use != a_select2(xinit_defuse,n5) )
        | ( use != a_select2(xinit_defuse,n4) )
        | ( use != a_select2(xinit_defuse,n3) )
        | ( use != a_select3(u_defuse,n2,n0) )
        | ( use != a_select3(u_defuse,n1,n0) )
        | ( use != a_select3(u_defuse,n0,n0) )
        | ( use != a_select2(sigma_defuse,n5) )
        | ( use != a_select2(sigma_defuse,n4) )
        | ( use != a_select2(sigma_defuse,n3) )
        | ( use != a_select2(sigma_defuse,n2) )
        | ( use != a_select2(sigma_defuse,n1) )
        | ( use != a_select2(sigma_defuse,n0) )
        | ( use != a_select2(rho_defuse,n2) )
        | ( use != a_select2(rho_defuse,n1) )
        | ( use != a_select2(rho_defuse,n0) ) )
      & ( pv51 != pv52 ) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

tff(f109,plain,
    ( ( ( ( ? [X2,X3] :
              ( ( ( use != a_select3(z_defuse,X2,X3) )
                | ( use != a_select3(u_defuse,X2,X3) ) )
              & leq(X3,minus(pv5,n1))
              & leq(X2,n2)
              & leq(n0,X3)
              & leq(n0,X2) )
          | ~ leq(pv51,minus(n6,n1))
          | ~ leq(pv5,minus(n999,n1))
          | ~ leq(n0,pv51)
          | ~ leq(n0,pv5)
          | ( use != a_select2(xinit_noise_defuse,n5) )
          | ( use != a_select2(xinit_noise_defuse,n4) )
          | ( use != a_select2(xinit_noise_defuse,n3) )
          | ( use != a_select2(xinit_noise_defuse,n2) )
          | ( use != a_select2(xinit_noise_defuse,n1) )
          | ( use != a_select2(xinit_noise_defuse,n0) )
          | ( use != a_select2(xinit_mean_defuse,n5) )
          | ( use != a_select2(xinit_mean_defuse,n4) )
          | ( use != a_select2(xinit_mean_defuse,n3) )
          | ( use != a_select2(xinit_mean_defuse,n2) )
          | ( use != a_select2(xinit_mean_defuse,n1) )
          | ( use != a_select2(xinit_mean_defuse,n0) )
          | ( use != a_select2(xinit_defuse,n5) )
          | ( use != a_select2(xinit_defuse,n4) )
          | ( use != a_select2(xinit_defuse,n3) )
          | ( use != a_select3(u_defuse,n2,n0) )
          | ( use != a_select3(u_defuse,n1,n0) )
          | ( use != a_select3(u_defuse,n0,n0) )
          | ( use != a_select2(sigma_defuse,n5) )
          | ( use != a_select2(sigma_defuse,n4) )
          | ( use != a_select2(sigma_defuse,n3) )
          | ( use != a_select2(sigma_defuse,n2) )
          | ( use != a_select2(sigma_defuse,n1) )
          | ( use != a_select2(sigma_defuse,n0) )
          | ( use != a_select2(rho_defuse,n2) )
          | ( use != a_select2(rho_defuse,n1) )
          | ( use != a_select2(rho_defuse,n0) ) )
        & ( pv51 = pv52 ) )
      | ( ( ? [X4,X5] :
              ( ( ( use != a_select3(z_defuse,X4,X5) )
                | ( use != a_select3(u_defuse,X4,X5) ) )
              & leq(X5,minus(pv5,n1))
              & leq(X4,n2)
              & leq(n0,X5)
              & leq(n0,X4) )
          | ~ leq(pv51,minus(n6,n1))
          | ~ leq(pv5,minus(n999,n1))
          | ~ leq(n0,pv51)
          | ~ leq(n0,pv5)
          | ( use != a_select2(xinit_noise_defuse,n5) )
          | ( use != a_select2(xinit_noise_defuse,n4) )
          | ( use != a_select2(xinit_noise_defuse,n3) )
          | ( use != a_select2(xinit_noise_defuse,n2) )
          | ( use != a_select2(xinit_noise_defuse,n1) )
          | ( use != a_select2(xinit_noise_defuse,n0) )
          | ( use != a_select2(xinit_mean_defuse,n5) )
          | ( use != a_select2(xinit_mean_defuse,n4) )
          | ( use != a_select2(xinit_mean_defuse,n3) )
          | ( use != a_select2(xinit_mean_defuse,n2) )
          | ( use != a_select2(xinit_mean_defuse,n1) )
          | ( use != a_select2(xinit_mean_defuse,n0) )
          | ( use != a_select2(xinit_defuse,n5) )
          | ( use != a_select2(xinit_defuse,n4) )
          | ( use != a_select2(xinit_defuse,n3) )
          | ( use != a_select3(u_defuse,n2,n0) )
          | ( use != a_select3(u_defuse,n1,n0) )
          | ( use != a_select3(u_defuse,n0,n0) )
          | ( use != a_select2(sigma_defuse,n5) )
          | ( use != a_select2(sigma_defuse,n4) )
          | ( use != a_select2(sigma_defuse,n3) )
          | ( use != a_select2(sigma_defuse,n2) )
          | ( use != a_select2(sigma_defuse,n1) )
          | ( use != a_select2(sigma_defuse,n0) )
          | ( use != a_select2(rho_defuse,n2) )
          | ( use != a_select2(rho_defuse,n1) )
          | ( use != a_select2(rho_defuse,n0) ) )
        & ( pv51 != pv52 ) ) )
    & ! [X0,X1] :
        ( ( ( use = a_select3(z_defuse,X0,X1) )
          & ( use = a_select3(u_defuse,X0,X1) ) )
        | ~ leq(X1,minus(pv5,n1))
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & leq(pv52,minus(n6,n1))
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv52)
    & leq(n0,pv51)
    & leq(n0,pv5)
    & ( use = a_select2(xinit_noise_defuse,n5) )
    & ( use = a_select2(xinit_noise_defuse,n4) )
    & ( use = a_select2(xinit_noise_defuse,n3) )
    & ( use = a_select2(xinit_noise_defuse,n2) )
    & ( use = a_select2(xinit_noise_defuse,n1) )
    & ( use = a_select2(xinit_noise_defuse,n0) )
    & ( use = a_select2(xinit_mean_defuse,n5) )
    & ( use = a_select2(xinit_mean_defuse,n4) )
    & ( use = a_select2(xinit_mean_defuse,n3) )
    & ( use = a_select2(xinit_mean_defuse,n2) )
    & ( use = a_select2(xinit_mean_defuse,n1) )
    & ( use = a_select2(xinit_mean_defuse,n0) )
    & ( use = a_select2(xinit_defuse,n5) )
    & ( use = a_select2(xinit_defuse,n4) )
    & ( use = a_select2(xinit_defuse,n3) )
    & ( use = a_select3(u_defuse,n2,n0) )
    & ( use = a_select3(u_defuse,n1,n0) )
    & ( use = a_select3(u_defuse,n0,n0) )
    & ( use = a_select2(sigma_defuse,n5) )
    & ( use = a_select2(sigma_defuse,n4) )
    & ( use = a_select2(sigma_defuse,n3) )
    & ( use = a_select2(sigma_defuse,n2) )
    & ( use = a_select2(sigma_defuse,n1) )
    & ( use = a_select2(sigma_defuse,n0) )
    & ( use = a_select2(rho_defuse,n2) )
    & ( use = a_select2(rho_defuse,n1) )
    & ( use = a_select2(rho_defuse,n0) ) ),
    inference(flattening,[],[f108]) ).

tff(f108,plain,
    ( ( ( ( ? [X2,X3] :
              ( ( ( use != a_select3(z_defuse,X2,X3) )
                | ( use != a_select3(u_defuse,X2,X3) ) )
              & leq(X3,minus(pv5,n1))
              & leq(X2,n2)
              & leq(n0,X3)
              & leq(n0,X2) )
          | ~ leq(pv51,minus(n6,n1))
          | ~ leq(pv5,minus(n999,n1))
          | ~ leq(n0,pv51)
          | ~ leq(n0,pv5)
          | ( use != a_select2(xinit_noise_defuse,n5) )
          | ( use != a_select2(xinit_noise_defuse,n4) )
          | ( use != a_select2(xinit_noise_defuse,n3) )
          | ( use != a_select2(xinit_noise_defuse,n2) )
          | ( use != a_select2(xinit_noise_defuse,n1) )
          | ( use != a_select2(xinit_noise_defuse,n0) )
          | ( use != a_select2(xinit_mean_defuse,n5) )
          | ( use != a_select2(xinit_mean_defuse,n4) )
          | ( use != a_select2(xinit_mean_defuse,n3) )
          | ( use != a_select2(xinit_mean_defuse,n2) )
          | ( use != a_select2(xinit_mean_defuse,n1) )
          | ( use != a_select2(xinit_mean_defuse,n0) )
          | ( use != a_select2(xinit_defuse,n5) )
          | ( use != a_select2(xinit_defuse,n4) )
          | ( use != a_select2(xinit_defuse,n3) )
          | ( use != a_select3(u_defuse,n2,n0) )
          | ( use != a_select3(u_defuse,n1,n0) )
          | ( use != a_select3(u_defuse,n0,n0) )
          | ( use != a_select2(sigma_defuse,n5) )
          | ( use != a_select2(sigma_defuse,n4) )
          | ( use != a_select2(sigma_defuse,n3) )
          | ( use != a_select2(sigma_defuse,n2) )
          | ( use != a_select2(sigma_defuse,n1) )
          | ( use != a_select2(sigma_defuse,n0) )
          | ( use != a_select2(rho_defuse,n2) )
          | ( use != a_select2(rho_defuse,n1) )
          | ( use != a_select2(rho_defuse,n0) ) )
        & ( pv51 = pv52 ) )
      | ( ( ? [X4,X5] :
              ( ( ( use != a_select3(z_defuse,X4,X5) )
                | ( use != a_select3(u_defuse,X4,X5) ) )
              & leq(X5,minus(pv5,n1))
              & leq(X4,n2)
              & leq(n0,X5)
              & leq(n0,X4) )
          | ~ leq(pv51,minus(n6,n1))
          | ~ leq(pv5,minus(n999,n1))
          | ~ leq(n0,pv51)
          | ~ leq(n0,pv5)
          | ( use != a_select2(xinit_noise_defuse,n5) )
          | ( use != a_select2(xinit_noise_defuse,n4) )
          | ( use != a_select2(xinit_noise_defuse,n3) )
          | ( use != a_select2(xinit_noise_defuse,n2) )
          | ( use != a_select2(xinit_noise_defuse,n1) )
          | ( use != a_select2(xinit_noise_defuse,n0) )
          | ( use != a_select2(xinit_mean_defuse,n5) )
          | ( use != a_select2(xinit_mean_defuse,n4) )
          | ( use != a_select2(xinit_mean_defuse,n3) )
          | ( use != a_select2(xinit_mean_defuse,n2) )
          | ( use != a_select2(xinit_mean_defuse,n1) )
          | ( use != a_select2(xinit_mean_defuse,n0) )
          | ( use != a_select2(xinit_defuse,n5) )
          | ( use != a_select2(xinit_defuse,n4) )
          | ( use != a_select2(xinit_defuse,n3) )
          | ( use != a_select3(u_defuse,n2,n0) )
          | ( use != a_select3(u_defuse,n1,n0) )
          | ( use != a_select3(u_defuse,n0,n0) )
          | ( use != a_select2(sigma_defuse,n5) )
          | ( use != a_select2(sigma_defuse,n4) )
          | ( use != a_select2(sigma_defuse,n3) )
          | ( use != a_select2(sigma_defuse,n2) )
          | ( use != a_select2(sigma_defuse,n1) )
          | ( use != a_select2(sigma_defuse,n0) )
          | ( use != a_select2(rho_defuse,n2) )
          | ( use != a_select2(rho_defuse,n1) )
          | ( use != a_select2(rho_defuse,n0) ) )
        & ( pv51 != pv52 ) ) )
    & ! [X0,X1] :
        ( ( ( use = a_select3(z_defuse,X0,X1) )
          & ( use = a_select3(u_defuse,X0,X1) ) )
        | ~ leq(X1,minus(pv5,n1))
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & leq(pv52,minus(n6,n1))
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv52)
    & leq(n0,pv51)
    & leq(n0,pv5)
    & ( use = a_select2(xinit_noise_defuse,n5) )
    & ( use = a_select2(xinit_noise_defuse,n4) )
    & ( use = a_select2(xinit_noise_defuse,n3) )
    & ( use = a_select2(xinit_noise_defuse,n2) )
    & ( use = a_select2(xinit_noise_defuse,n1) )
    & ( use = a_select2(xinit_noise_defuse,n0) )
    & ( use = a_select2(xinit_mean_defuse,n5) )
    & ( use = a_select2(xinit_mean_defuse,n4) )
    & ( use = a_select2(xinit_mean_defuse,n3) )
    & ( use = a_select2(xinit_mean_defuse,n2) )
    & ( use = a_select2(xinit_mean_defuse,n1) )
    & ( use = a_select2(xinit_mean_defuse,n0) )
    & ( use = a_select2(xinit_defuse,n5) )
    & ( use = a_select2(xinit_defuse,n4) )
    & ( use = a_select2(xinit_defuse,n3) )
    & ( use = a_select3(u_defuse,n2,n0) )
    & ( use = a_select3(u_defuse,n1,n0) )
    & ( use = a_select3(u_defuse,n0,n0) )
    & ( use = a_select2(sigma_defuse,n5) )
    & ( use = a_select2(sigma_defuse,n4) )
    & ( use = a_select2(sigma_defuse,n3) )
    & ( use = a_select2(sigma_defuse,n2) )
    & ( use = a_select2(sigma_defuse,n1) )
    & ( use = a_select2(sigma_defuse,n0) )
    & ( use = a_select2(rho_defuse,n2) )
    & ( use = a_select2(rho_defuse,n1) )
    & ( use = a_select2(rho_defuse,n0) ) ),
    inference(ennf_transformation,[],[f104]) ).

tff(f104,plain,
    ~ ( ( ! [X0,X1] :
            ( ( leq(X1,minus(pv5,n1))
              & leq(X0,n2)
              & leq(n0,X1)
              & leq(n0,X0) )
           => ( ( use = a_select3(z_defuse,X0,X1) )
              & ( use = a_select3(u_defuse,X0,X1) ) ) )
        & leq(pv52,minus(n6,n1))
        & leq(pv51,minus(n6,n1))
        & leq(pv5,minus(n999,n1))
        & leq(n0,pv52)
        & leq(n0,pv51)
        & leq(n0,pv5)
        & ( use = a_select2(xinit_noise_defuse,n5) )
        & ( use = a_select2(xinit_noise_defuse,n4) )
        & ( use = a_select2(xinit_noise_defuse,n3) )
        & ( use = a_select2(xinit_noise_defuse,n2) )
        & ( use = a_select2(xinit_noise_defuse,n1) )
        & ( use = a_select2(xinit_noise_defuse,n0) )
        & ( use = a_select2(xinit_mean_defuse,n5) )
        & ( use = a_select2(xinit_mean_defuse,n4) )
        & ( use = a_select2(xinit_mean_defuse,n3) )
        & ( use = a_select2(xinit_mean_defuse,n2) )
        & ( use = a_select2(xinit_mean_defuse,n1) )
        & ( use = a_select2(xinit_mean_defuse,n0) )
        & ( use = a_select2(xinit_defuse,n5) )
        & ( use = a_select2(xinit_defuse,n4) )
        & ( use = a_select2(xinit_defuse,n3) )
        & ( use = a_select3(u_defuse,n2,n0) )
        & ( use = a_select3(u_defuse,n1,n0) )
        & ( use = a_select3(u_defuse,n0,n0) )
        & ( use = a_select2(sigma_defuse,n5) )
        & ( use = a_select2(sigma_defuse,n4) )
        & ( use = a_select2(sigma_defuse,n3) )
        & ( use = a_select2(sigma_defuse,n2) )
        & ( use = a_select2(sigma_defuse,n1) )
        & ( use = a_select2(sigma_defuse,n0) )
        & ( use = a_select2(rho_defuse,n2) )
        & ( use = a_select2(rho_defuse,n1) )
        & ( use = a_select2(rho_defuse,n0) ) )
     => ( ( ( pv51 = pv52 )
         => ( ! [X2,X3] :
                ( ( leq(X3,minus(pv5,n1))
                  & leq(X2,n2)
                  & leq(n0,X3)
                  & leq(n0,X2) )
               => ( ( use = a_select3(z_defuse,X2,X3) )
                  & ( use = a_select3(u_defuse,X2,X3) ) ) )
            & leq(pv51,minus(n6,n1))
            & leq(pv5,minus(n999,n1))
            & leq(n0,pv51)
            & leq(n0,pv5)
            & ( use = a_select2(xinit_noise_defuse,n5) )
            & ( use = a_select2(xinit_noise_defuse,n4) )
            & ( use = a_select2(xinit_noise_defuse,n3) )
            & ( use = a_select2(xinit_noise_defuse,n2) )
            & ( use = a_select2(xinit_noise_defuse,n1) )
            & ( use = a_select2(xinit_noise_defuse,n0) )
            & ( use = a_select2(xinit_mean_defuse,n5) )
            & ( use = a_select2(xinit_mean_defuse,n4) )
            & ( use = a_select2(xinit_mean_defuse,n3) )
            & ( use = a_select2(xinit_mean_defuse,n2) )
            & ( use = a_select2(xinit_mean_defuse,n1) )
            & ( use = a_select2(xinit_mean_defuse,n0) )
            & ( use = a_select2(xinit_defuse,n5) )
            & ( use = a_select2(xinit_defuse,n4) )
            & ( use = a_select2(xinit_defuse,n3) )
            & ( use = a_select3(u_defuse,n2,n0) )
            & ( use = a_select3(u_defuse,n1,n0) )
            & ( use = a_select3(u_defuse,n0,n0) )
            & ( use = a_select2(sigma_defuse,n5) )
            & ( use = a_select2(sigma_defuse,n4) )
            & ( use = a_select2(sigma_defuse,n3) )
            & ( use = a_select2(sigma_defuse,n2) )
            & ( use = a_select2(sigma_defuse,n1) )
            & ( use = a_select2(sigma_defuse,n0) )
            & ( use = a_select2(rho_defuse,n2) )
            & ( use = a_select2(rho_defuse,n1) )
            & ( use = a_select2(rho_defuse,n0) ) ) )
        & ( ( pv51 != pv52 )
         => ( ! [X4,X5] :
                ( ( leq(X5,minus(pv5,n1))
                  & leq(X4,n2)
                  & leq(n0,X5)
                  & leq(n0,X4) )
               => ( ( use = a_select3(z_defuse,X4,X5) )
                  & ( use = a_select3(u_defuse,X4,X5) ) ) )
            & leq(pv51,minus(n6,n1))
            & leq(pv5,minus(n999,n1))
            & leq(n0,pv51)
            & leq(n0,pv5)
            & ( use = a_select2(xinit_noise_defuse,n5) )
            & ( use = a_select2(xinit_noise_defuse,n4) )
            & ( use = a_select2(xinit_noise_defuse,n3) )
            & ( use = a_select2(xinit_noise_defuse,n2) )
            & ( use = a_select2(xinit_noise_defuse,n1) )
            & ( use = a_select2(xinit_noise_defuse,n0) )
            & ( use = a_select2(xinit_mean_defuse,n5) )
            & ( use = a_select2(xinit_mean_defuse,n4) )
            & ( use = a_select2(xinit_mean_defuse,n3) )
            & ( use = a_select2(xinit_mean_defuse,n2) )
            & ( use = a_select2(xinit_mean_defuse,n1) )
            & ( use = a_select2(xinit_mean_defuse,n0) )
            & ( use = a_select2(xinit_defuse,n5) )
            & ( use = a_select2(xinit_defuse,n4) )
            & ( use = a_select2(xinit_defuse,n3) )
            & ( use = a_select3(u_defuse,n2,n0) )
            & ( use = a_select3(u_defuse,n1,n0) )
            & ( use = a_select3(u_defuse,n0,n0) )
            & ( use = a_select2(sigma_defuse,n5) )
            & ( use = a_select2(sigma_defuse,n4) )
            & ( use = a_select2(sigma_defuse,n3) )
            & ( use = a_select2(sigma_defuse,n2) )
            & ( use = a_select2(sigma_defuse,n1) )
            & ( use = a_select2(sigma_defuse,n0) )
            & ( use = a_select2(rho_defuse,n2) )
            & ( use = a_select2(rho_defuse,n1) )
            & ( use = a_select2(rho_defuse,n0) ) ) ) ) ),
    inference(rectify,[],[f54]) ).

tff(f54,negated_conjecture,
    ~ ( ( ! [X13,X17] :
            ( ( leq(X17,minus(pv5,n1))
              & leq(X13,n2)
              & leq(n0,X17)
              & leq(n0,X13) )
           => ( ( use = a_select3(z_defuse,X13,X17) )
              & ( use = a_select3(u_defuse,X13,X17) ) ) )
        & leq(pv52,minus(n6,n1))
        & leq(pv51,minus(n6,n1))
        & leq(pv5,minus(n999,n1))
        & leq(n0,pv52)
        & leq(n0,pv51)
        & leq(n0,pv5)
        & ( use = a_select2(xinit_noise_defuse,n5) )
        & ( use = a_select2(xinit_noise_defuse,n4) )
        & ( use = a_select2(xinit_noise_defuse,n3) )
        & ( use = a_select2(xinit_noise_defuse,n2) )
        & ( use = a_select2(xinit_noise_defuse,n1) )
        & ( use = a_select2(xinit_noise_defuse,n0) )
        & ( use = a_select2(xinit_mean_defuse,n5) )
        & ( use = a_select2(xinit_mean_defuse,n4) )
        & ( use = a_select2(xinit_mean_defuse,n3) )
        & ( use = a_select2(xinit_mean_defuse,n2) )
        & ( use = a_select2(xinit_mean_defuse,n1) )
        & ( use = a_select2(xinit_mean_defuse,n0) )
        & ( use = a_select2(xinit_defuse,n5) )
        & ( use = a_select2(xinit_defuse,n4) )
        & ( use = a_select2(xinit_defuse,n3) )
        & ( use = a_select3(u_defuse,n2,n0) )
        & ( use = a_select3(u_defuse,n1,n0) )
        & ( use = a_select3(u_defuse,n0,n0) )
        & ( use = a_select2(sigma_defuse,n5) )
        & ( use = a_select2(sigma_defuse,n4) )
        & ( use = a_select2(sigma_defuse,n3) )
        & ( use = a_select2(sigma_defuse,n2) )
        & ( use = a_select2(sigma_defuse,n1) )
        & ( use = a_select2(sigma_defuse,n0) )
        & ( use = a_select2(rho_defuse,n2) )
        & ( use = a_select2(rho_defuse,n1) )
        & ( use = a_select2(rho_defuse,n0) ) )
     => ( ( ( pv51 = pv52 )
         => ( ! [X20,X21] :
                ( ( leq(X21,minus(pv5,n1))
                  & leq(X20,n2)
                  & leq(n0,X21)
                  & leq(n0,X20) )
               => ( ( use = a_select3(z_defuse,X20,X21) )
                  & ( use = a_select3(u_defuse,X20,X21) ) ) )
            & leq(pv51,minus(n6,n1))
            & leq(pv5,minus(n999,n1))
            & leq(n0,pv51)
            & leq(n0,pv5)
            & ( use = a_select2(xinit_noise_defuse,n5) )
            & ( use = a_select2(xinit_noise_defuse,n4) )
            & ( use = a_select2(xinit_noise_defuse,n3) )
            & ( use = a_select2(xinit_noise_defuse,n2) )
            & ( use = a_select2(xinit_noise_defuse,n1) )
            & ( use = a_select2(xinit_noise_defuse,n0) )
            & ( use = a_select2(xinit_mean_defuse,n5) )
            & ( use = a_select2(xinit_mean_defuse,n4) )
            & ( use = a_select2(xinit_mean_defuse,n3) )
            & ( use = a_select2(xinit_mean_defuse,n2) )
            & ( use = a_select2(xinit_mean_defuse,n1) )
            & ( use = a_select2(xinit_mean_defuse,n0) )
            & ( use = a_select2(xinit_defuse,n5) )
            & ( use = a_select2(xinit_defuse,n4) )
            & ( use = a_select2(xinit_defuse,n3) )
            & ( use = a_select3(u_defuse,n2,n0) )
            & ( use = a_select3(u_defuse,n1,n0) )
            & ( use = a_select3(u_defuse,n0,n0) )
            & ( use = a_select2(sigma_defuse,n5) )
            & ( use = a_select2(sigma_defuse,n4) )
            & ( use = a_select2(sigma_defuse,n3) )
            & ( use = a_select2(sigma_defuse,n2) )
            & ( use = a_select2(sigma_defuse,n1) )
            & ( use = a_select2(sigma_defuse,n0) )
            & ( use = a_select2(rho_defuse,n2) )
            & ( use = a_select2(rho_defuse,n1) )
            & ( use = a_select2(rho_defuse,n0) ) ) )
        & ( ( pv51 != pv52 )
         => ( ! [X3,X19] :
                ( ( leq(X19,minus(pv5,n1))
                  & leq(X3,n2)
                  & leq(n0,X19)
                  & leq(n0,X3) )
               => ( ( use = a_select3(z_defuse,X3,X19) )
                  & ( use = a_select3(u_defuse,X3,X19) ) ) )
            & leq(pv51,minus(n6,n1))
            & leq(pv5,minus(n999,n1))
            & leq(n0,pv51)
            & leq(n0,pv5)
            & ( use = a_select2(xinit_noise_defuse,n5) )
            & ( use = a_select2(xinit_noise_defuse,n4) )
            & ( use = a_select2(xinit_noise_defuse,n3) )
            & ( use = a_select2(xinit_noise_defuse,n2) )
            & ( use = a_select2(xinit_noise_defuse,n1) )
            & ( use = a_select2(xinit_noise_defuse,n0) )
            & ( use = a_select2(xinit_mean_defuse,n5) )
            & ( use = a_select2(xinit_mean_defuse,n4) )
            & ( use = a_select2(xinit_mean_defuse,n3) )
            & ( use = a_select2(xinit_mean_defuse,n2) )
            & ( use = a_select2(xinit_mean_defuse,n1) )
            & ( use = a_select2(xinit_mean_defuse,n0) )
            & ( use = a_select2(xinit_defuse,n5) )
            & ( use = a_select2(xinit_defuse,n4) )
            & ( use = a_select2(xinit_defuse,n3) )
            & ( use = a_select3(u_defuse,n2,n0) )
            & ( use = a_select3(u_defuse,n1,n0) )
            & ( use = a_select3(u_defuse,n0,n0) )
            & ( use = a_select2(sigma_defuse,n5) )
            & ( use = a_select2(sigma_defuse,n4) )
            & ( use = a_select2(sigma_defuse,n3) )
            & ( use = a_select2(sigma_defuse,n2) )
            & ( use = a_select2(sigma_defuse,n1) )
            & ( use = a_select2(sigma_defuse,n0) )
            & ( use = a_select2(rho_defuse,n2) )
            & ( use = a_select2(rho_defuse,n1) )
            & ( use = a_select2(rho_defuse,n0) ) ) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

tff(f53,conjecture,
    ( ( ! [X13,X17] :
          ( ( leq(X17,minus(pv5,n1))
            & leq(X13,n2)
            & leq(n0,X17)
            & leq(n0,X13) )
         => ( ( use = a_select3(z_defuse,X13,X17) )
            & ( use = a_select3(u_defuse,X13,X17) ) ) )
      & leq(pv52,minus(n6,n1))
      & leq(pv51,minus(n6,n1))
      & leq(pv5,minus(n999,n1))
      & leq(n0,pv52)
      & leq(n0,pv51)
      & leq(n0,pv5)
      & ( use = a_select2(xinit_noise_defuse,n5) )
      & ( use = a_select2(xinit_noise_defuse,n4) )
      & ( use = a_select2(xinit_noise_defuse,n3) )
      & ( use = a_select2(xinit_noise_defuse,n2) )
      & ( use = a_select2(xinit_noise_defuse,n1) )
      & ( use = a_select2(xinit_noise_defuse,n0) )
      & ( use = a_select2(xinit_mean_defuse,n5) )
      & ( use = a_select2(xinit_mean_defuse,n4) )
      & ( use = a_select2(xinit_mean_defuse,n3) )
      & ( use = a_select2(xinit_mean_defuse,n2) )
      & ( use = a_select2(xinit_mean_defuse,n1) )
      & ( use = a_select2(xinit_mean_defuse,n0) )
      & ( use = a_select2(xinit_defuse,n5) )
      & ( use = a_select2(xinit_defuse,n4) )
      & ( use = a_select2(xinit_defuse,n3) )
      & ( use = a_select3(u_defuse,n2,n0) )
      & ( use = a_select3(u_defuse,n1,n0) )
      & ( use = a_select3(u_defuse,n0,n0) )
      & ( use = a_select2(sigma_defuse,n5) )
      & ( use = a_select2(sigma_defuse,n4) )
      & ( use = a_select2(sigma_defuse,n3) )
      & ( use = a_select2(sigma_defuse,n2) )
      & ( use = a_select2(sigma_defuse,n1) )
      & ( use = a_select2(sigma_defuse,n0) )
      & ( use = a_select2(rho_defuse,n2) )
      & ( use = a_select2(rho_defuse,n1) )
      & ( use = a_select2(rho_defuse,n0) ) )
   => ( ( ( pv51 = pv52 )
       => ( ! [X20,X21] :
              ( ( leq(X21,minus(pv5,n1))
                & leq(X20,n2)
                & leq(n0,X21)
                & leq(n0,X20) )
             => ( ( use = a_select3(z_defuse,X20,X21) )
                & ( use = a_select3(u_defuse,X20,X21) ) ) )
          & leq(pv51,minus(n6,n1))
          & leq(pv5,minus(n999,n1))
          & leq(n0,pv51)
          & leq(n0,pv5)
          & ( use = a_select2(xinit_noise_defuse,n5) )
          & ( use = a_select2(xinit_noise_defuse,n4) )
          & ( use = a_select2(xinit_noise_defuse,n3) )
          & ( use = a_select2(xinit_noise_defuse,n2) )
          & ( use = a_select2(xinit_noise_defuse,n1) )
          & ( use = a_select2(xinit_noise_defuse,n0) )
          & ( use = a_select2(xinit_mean_defuse,n5) )
          & ( use = a_select2(xinit_mean_defuse,n4) )
          & ( use = a_select2(xinit_mean_defuse,n3) )
          & ( use = a_select2(xinit_mean_defuse,n2) )
          & ( use = a_select2(xinit_mean_defuse,n1) )
          & ( use = a_select2(xinit_mean_defuse,n0) )
          & ( use = a_select2(xinit_defuse,n5) )
          & ( use = a_select2(xinit_defuse,n4) )
          & ( use = a_select2(xinit_defuse,n3) )
          & ( use = a_select3(u_defuse,n2,n0) )
          & ( use = a_select3(u_defuse,n1,n0) )
          & ( use = a_select3(u_defuse,n0,n0) )
          & ( use = a_select2(sigma_defuse,n5) )
          & ( use = a_select2(sigma_defuse,n4) )
          & ( use = a_select2(sigma_defuse,n3) )
          & ( use = a_select2(sigma_defuse,n2) )
          & ( use = a_select2(sigma_defuse,n1) )
          & ( use = a_select2(sigma_defuse,n0) )
          & ( use = a_select2(rho_defuse,n2) )
          & ( use = a_select2(rho_defuse,n1) )
          & ( use = a_select2(rho_defuse,n0) ) ) )
      & ( ( pv51 != pv52 )
       => ( ! [X3,X19] :
              ( ( leq(X19,minus(pv5,n1))
                & leq(X3,n2)
                & leq(n0,X19)
                & leq(n0,X3) )
             => ( ( use = a_select3(z_defuse,X3,X19) )
                & ( use = a_select3(u_defuse,X3,X19) ) ) )
          & leq(pv51,minus(n6,n1))
          & leq(pv5,minus(n999,n1))
          & leq(n0,pv51)
          & leq(n0,pv5)
          & ( use = a_select2(xinit_noise_defuse,n5) )
          & ( use = a_select2(xinit_noise_defuse,n4) )
          & ( use = a_select2(xinit_noise_defuse,n3) )
          & ( use = a_select2(xinit_noise_defuse,n2) )
          & ( use = a_select2(xinit_noise_defuse,n1) )
          & ( use = a_select2(xinit_noise_defuse,n0) )
          & ( use = a_select2(xinit_mean_defuse,n5) )
          & ( use = a_select2(xinit_mean_defuse,n4) )
          & ( use = a_select2(xinit_mean_defuse,n3) )
          & ( use = a_select2(xinit_mean_defuse,n2) )
          & ( use = a_select2(xinit_mean_defuse,n1) )
          & ( use = a_select2(xinit_mean_defuse,n0) )
          & ( use = a_select2(xinit_defuse,n5) )
          & ( use = a_select2(xinit_defuse,n4) )
          & ( use = a_select2(xinit_defuse,n3) )
          & ( use = a_select3(u_defuse,n2,n0) )
          & ( use = a_select3(u_defuse,n1,n0) )
          & ( use = a_select3(u_defuse,n0,n0) )
          & ( use = a_select2(sigma_defuse,n5) )
          & ( use = a_select2(sigma_defuse,n4) )
          & ( use = a_select2(sigma_defuse,n3) )
          & ( use = a_select2(sigma_defuse,n2) )
          & ( use = a_select2(sigma_defuse,n1) )
          & ( use = a_select2(sigma_defuse,n0) )
          & ( use = a_select2(rho_defuse,n2) )
          & ( use = a_select2(rho_defuse,n1) )
          & ( use = a_select2(rho_defuse,n0) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.WmiwiNFotK/Vampire---4.8_5861',quaternion_ds1_inuse_0006) ).

tff(f504,plain,
    ( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK1,sK2))
    | spl7_34 ),
    inference(avatar_component_clause,[],[f502]) ).

tff(f502,plain,
    ( spl7_34
  <=> sQ6_eqProxy($i,use,a_select3(z_defuse,sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_34])]) ).

tff(f609,plain,
    ( spl7_33
    | ~ spl7_35
    | ~ spl7_36
    | ~ spl7_37
    | ~ spl7_38 ),
    inference(avatar_contradiction_clause,[],[f608]) ).

tff(f608,plain,
    ( $false
    | spl7_33
    | ~ spl7_35
    | ~ spl7_36
    | ~ spl7_37
    | ~ spl7_38 ),
    inference(subsumption_resolution,[],[f607,f524]) ).

tff(f607,plain,
    ( ~ leq(n0,sK1)
    | spl7_33
    | ~ spl7_35
    | ~ spl7_36
    | ~ spl7_37 ),
    inference(subsumption_resolution,[],[f606,f519]) ).

tff(f606,plain,
    ( ~ leq(n0,sK2)
    | ~ leq(n0,sK1)
    | spl7_33
    | ~ spl7_35
    | ~ spl7_36 ),
    inference(subsumption_resolution,[],[f605,f514]) ).

tff(f605,plain,
    ( ~ leq(sK1,n2)
    | ~ leq(n0,sK2)
    | ~ leq(n0,sK1)
    | spl7_33
    | ~ spl7_35 ),
    inference(subsumption_resolution,[],[f604,f509]) ).

tff(f604,plain,
    ( ~ leq(sK2,minus(pv5,n1))
    | ~ leq(sK1,n2)
    | ~ leq(n0,sK2)
    | ~ leq(n0,sK1)
    | spl7_33 ),
    inference(resolution,[],[f500,f309]) ).

tff(f309,plain,
    ! [X2: $i,X3: $i] :
      ( sQ6_eqProxy($i,use,a_select3(u_defuse,X2,X3))
      | ~ leq(X3,minus(pv5,n1))
      | ~ leq(X2,n2)
      | ~ leq(n0,X3)
      | ~ leq(n0,X2) ),
    inference(equality_proxy_replacement,[],[f188,f295]) ).

tff(f188,plain,
    ! [X2: $i,X3: $i] :
      ( ( use = a_select3(u_defuse,X2,X3) )
      | ~ leq(X3,minus(pv5,n1))
      | ~ leq(X2,n2)
      | ~ leq(n0,X3)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f144]) ).

tff(f500,plain,
    ( ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK1,sK2))
    | spl7_33 ),
    inference(avatar_component_clause,[],[f498]) ).

tff(f498,plain,
    ( spl7_33
  <=> sQ6_eqProxy($i,use,a_select3(u_defuse,sK1,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_33])]) ).

tff(f603,plain,
    ( spl7_41
    | ~ spl7_42
    | ~ spl7_43
    | ~ spl7_44
    | ~ spl7_45 ),
    inference(avatar_contradiction_clause,[],[f602]) ).

tff(f602,plain,
    ( $false
    | spl7_41
    | ~ spl7_42
    | ~ spl7_43
    | ~ spl7_44
    | ~ spl7_45 ),
    inference(subsumption_resolution,[],[f601,f558]) ).

tff(f558,plain,
    ( leq(n0,sK3)
    | ~ spl7_45 ),
    inference(avatar_component_clause,[],[f556]) ).

tff(f556,plain,
    ( spl7_45
  <=> leq(n0,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_45])]) ).

tff(f601,plain,
    ( ~ leq(n0,sK3)
    | spl7_41
    | ~ spl7_42
    | ~ spl7_43
    | ~ spl7_44 ),
    inference(subsumption_resolution,[],[f600,f553]) ).

tff(f553,plain,
    ( leq(n0,sK4)
    | ~ spl7_44 ),
    inference(avatar_component_clause,[],[f551]) ).

tff(f551,plain,
    ( spl7_44
  <=> leq(n0,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_44])]) ).

tff(f600,plain,
    ( ~ leq(n0,sK4)
    | ~ leq(n0,sK3)
    | spl7_41
    | ~ spl7_42
    | ~ spl7_43 ),
    inference(subsumption_resolution,[],[f599,f548]) ).

tff(f548,plain,
    ( leq(sK3,n2)
    | ~ spl7_43 ),
    inference(avatar_component_clause,[],[f546]) ).

tff(f546,plain,
    ( spl7_43
  <=> leq(sK3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_43])]) ).

tff(f599,plain,
    ( ~ leq(sK3,n2)
    | ~ leq(n0,sK4)
    | ~ leq(n0,sK3)
    | spl7_41
    | ~ spl7_42 ),
    inference(subsumption_resolution,[],[f598,f543]) ).

tff(f543,plain,
    ( leq(sK4,minus(pv5,n1))
    | ~ spl7_42 ),
    inference(avatar_component_clause,[],[f541]) ).

tff(f541,plain,
    ( spl7_42
  <=> leq(sK4,minus(pv5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_42])]) ).

tff(f598,plain,
    ( ~ leq(sK4,minus(pv5,n1))
    | ~ leq(sK3,n2)
    | ~ leq(n0,sK4)
    | ~ leq(n0,sK3)
    | spl7_41 ),
    inference(resolution,[],[f538,f308]) ).

tff(f538,plain,
    ( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK3,sK4))
    | spl7_41 ),
    inference(avatar_component_clause,[],[f536]) ).

tff(f536,plain,
    ( spl7_41
  <=> sQ6_eqProxy($i,use,a_select3(z_defuse,sK3,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_41])]) ).

tff(f597,plain,
    ( spl7_40
    | ~ spl7_42
    | ~ spl7_43
    | ~ spl7_44
    | ~ spl7_45 ),
    inference(avatar_contradiction_clause,[],[f596]) ).

tff(f596,plain,
    ( $false
    | spl7_40
    | ~ spl7_42
    | ~ spl7_43
    | ~ spl7_44
    | ~ spl7_45 ),
    inference(subsumption_resolution,[],[f595,f558]) ).

tff(f595,plain,
    ( ~ leq(n0,sK3)
    | spl7_40
    | ~ spl7_42
    | ~ spl7_43
    | ~ spl7_44 ),
    inference(subsumption_resolution,[],[f594,f553]) ).

tff(f594,plain,
    ( ~ leq(n0,sK4)
    | ~ leq(n0,sK3)
    | spl7_40
    | ~ spl7_42
    | ~ spl7_43 ),
    inference(subsumption_resolution,[],[f593,f548]) ).

tff(f593,plain,
    ( ~ leq(sK3,n2)
    | ~ leq(n0,sK4)
    | ~ leq(n0,sK3)
    | spl7_40
    | ~ spl7_42 ),
    inference(subsumption_resolution,[],[f592,f543]) ).

tff(f592,plain,
    ( ~ leq(sK4,minus(pv5,n1))
    | ~ leq(sK3,n2)
    | ~ leq(n0,sK4)
    | ~ leq(n0,sK3)
    | spl7_40 ),
    inference(resolution,[],[f309,f534]) ).

tff(f534,plain,
    ( ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK3,sK4))
    | spl7_40 ),
    inference(avatar_component_clause,[],[f532]) ).

tff(f532,plain,
    ( spl7_40
  <=> sQ6_eqProxy($i,use,a_select3(u_defuse,sK3,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_40])]) ).

tff(f591,plain,
    spl7_2,
    inference(avatar_split_clause,[],[f336,f374]) ).

tff(f374,plain,
    ( spl7_2
  <=> sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

tff(f336,plain,
    sQ6_eqProxy($i,use,a_select2(rho_defuse,n0)),
    inference(equality_proxy_replacement,[],[f155,f295]) ).

tff(f155,plain,
    use = a_select2(rho_defuse,n0),
    inference(cnf_transformation,[],[f144]) ).

tff(f590,plain,
    spl7_3,
    inference(avatar_split_clause,[],[f335,f378]) ).

tff(f378,plain,
    ( spl7_3
  <=> sQ6_eqProxy($i,use,a_select2(rho_defuse,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

tff(f335,plain,
    sQ6_eqProxy($i,use,a_select2(rho_defuse,n1)),
    inference(equality_proxy_replacement,[],[f156,f295]) ).

tff(f156,plain,
    use = a_select2(rho_defuse,n1),
    inference(cnf_transformation,[],[f144]) ).

tff(f589,plain,
    spl7_4,
    inference(avatar_split_clause,[],[f334,f382]) ).

tff(f382,plain,
    ( spl7_4
  <=> sQ6_eqProxy($i,use,a_select2(rho_defuse,n2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

tff(f334,plain,
    sQ6_eqProxy($i,use,a_select2(rho_defuse,n2)),
    inference(equality_proxy_replacement,[],[f157,f295]) ).

tff(f157,plain,
    use = a_select2(rho_defuse,n2),
    inference(cnf_transformation,[],[f144]) ).

tff(f588,plain,
    spl7_5,
    inference(avatar_split_clause,[],[f333,f386]) ).

tff(f386,plain,
    ( spl7_5
  <=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

tff(f333,plain,
    sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0)),
    inference(equality_proxy_replacement,[],[f158,f295]) ).

tff(f158,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f144]) ).

tff(f587,plain,
    spl7_6,
    inference(avatar_split_clause,[],[f332,f390]) ).

tff(f390,plain,
    ( spl7_6
  <=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

tff(f332,plain,
    sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1)),
    inference(equality_proxy_replacement,[],[f159,f295]) ).

tff(f159,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f144]) ).

tff(f586,plain,
    spl7_7,
    inference(avatar_split_clause,[],[f331,f394]) ).

tff(f394,plain,
    ( spl7_7
  <=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).

tff(f331,plain,
    sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2)),
    inference(equality_proxy_replacement,[],[f160,f295]) ).

tff(f160,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f144]) ).

tff(f585,plain,
    spl7_8,
    inference(avatar_split_clause,[],[f330,f398]) ).

tff(f398,plain,
    ( spl7_8
  <=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).

tff(f330,plain,
    sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3)),
    inference(equality_proxy_replacement,[],[f161,f295]) ).

tff(f161,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f144]) ).

tff(f584,plain,
    spl7_9,
    inference(avatar_split_clause,[],[f329,f402]) ).

tff(f402,plain,
    ( spl7_9
  <=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).

tff(f329,plain,
    sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4)),
    inference(equality_proxy_replacement,[],[f162,f295]) ).

tff(f162,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f144]) ).

tff(f583,plain,
    spl7_10,
    inference(avatar_split_clause,[],[f328,f406]) ).

tff(f406,plain,
    ( spl7_10
  <=> sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).

tff(f328,plain,
    sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5)),
    inference(equality_proxy_replacement,[],[f163,f295]) ).

tff(f163,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f144]) ).

tff(f582,plain,
    spl7_11,
    inference(avatar_split_clause,[],[f327,f410]) ).

tff(f410,plain,
    ( spl7_11
  <=> sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).

tff(f327,plain,
    sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0)),
    inference(equality_proxy_replacement,[],[f164,f295]) ).

tff(f164,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f144]) ).

tff(f581,plain,
    spl7_12,
    inference(avatar_split_clause,[],[f326,f414]) ).

tff(f414,plain,
    ( spl7_12
  <=> sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).

tff(f326,plain,
    sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0)),
    inference(equality_proxy_replacement,[],[f165,f295]) ).

tff(f165,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f144]) ).

tff(f580,plain,
    spl7_13,
    inference(avatar_split_clause,[],[f325,f418]) ).

tff(f418,plain,
    ( spl7_13
  <=> sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).

tff(f325,plain,
    sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0)),
    inference(equality_proxy_replacement,[],[f166,f295]) ).

tff(f166,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f144]) ).

tff(f579,plain,
    spl7_14,
    inference(avatar_split_clause,[],[f324,f422]) ).

tff(f422,plain,
    ( spl7_14
  <=> sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).

tff(f324,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3)),
    inference(equality_proxy_replacement,[],[f167,f295]) ).

tff(f167,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f144]) ).

tff(f578,plain,
    spl7_15,
    inference(avatar_split_clause,[],[f323,f426]) ).

tff(f426,plain,
    ( spl7_15
  <=> sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).

tff(f323,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4)),
    inference(equality_proxy_replacement,[],[f168,f295]) ).

tff(f168,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f144]) ).

tff(f577,plain,
    spl7_16,
    inference(avatar_split_clause,[],[f322,f430]) ).

tff(f430,plain,
    ( spl7_16
  <=> sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).

tff(f322,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5)),
    inference(equality_proxy_replacement,[],[f169,f295]) ).

tff(f169,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f144]) ).

tff(f576,plain,
    spl7_17,
    inference(avatar_split_clause,[],[f321,f434]) ).

tff(f434,plain,
    ( spl7_17
  <=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).

tff(f321,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0)),
    inference(equality_proxy_replacement,[],[f170,f295]) ).

tff(f170,plain,
    use = a_select2(xinit_mean_defuse,n0),
    inference(cnf_transformation,[],[f144]) ).

tff(f575,plain,
    spl7_18,
    inference(avatar_split_clause,[],[f320,f438]) ).

tff(f438,plain,
    ( spl7_18
  <=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).

tff(f320,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1)),
    inference(equality_proxy_replacement,[],[f171,f295]) ).

tff(f171,plain,
    use = a_select2(xinit_mean_defuse,n1),
    inference(cnf_transformation,[],[f144]) ).

tff(f574,plain,
    spl7_19,
    inference(avatar_split_clause,[],[f319,f442]) ).

tff(f442,plain,
    ( spl7_19
  <=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).

tff(f319,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2)),
    inference(equality_proxy_replacement,[],[f172,f295]) ).

tff(f172,plain,
    use = a_select2(xinit_mean_defuse,n2),
    inference(cnf_transformation,[],[f144]) ).

tff(f573,plain,
    spl7_20,
    inference(avatar_split_clause,[],[f318,f446]) ).

tff(f446,plain,
    ( spl7_20
  <=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).

tff(f318,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3)),
    inference(equality_proxy_replacement,[],[f173,f295]) ).

tff(f173,plain,
    use = a_select2(xinit_mean_defuse,n3),
    inference(cnf_transformation,[],[f144]) ).

tff(f572,plain,
    spl7_21,
    inference(avatar_split_clause,[],[f317,f450]) ).

tff(f450,plain,
    ( spl7_21
  <=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).

tff(f317,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4)),
    inference(equality_proxy_replacement,[],[f174,f295]) ).

tff(f174,plain,
    use = a_select2(xinit_mean_defuse,n4),
    inference(cnf_transformation,[],[f144]) ).

tff(f571,plain,
    spl7_22,
    inference(avatar_split_clause,[],[f316,f454]) ).

tff(f454,plain,
    ( spl7_22
  <=> sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).

tff(f316,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5)),
    inference(equality_proxy_replacement,[],[f175,f295]) ).

tff(f175,plain,
    use = a_select2(xinit_mean_defuse,n5),
    inference(cnf_transformation,[],[f144]) ).

tff(f570,plain,
    spl7_23,
    inference(avatar_split_clause,[],[f315,f458]) ).

tff(f458,plain,
    ( spl7_23
  <=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).

tff(f315,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0)),
    inference(equality_proxy_replacement,[],[f176,f295]) ).

tff(f176,plain,
    use = a_select2(xinit_noise_defuse,n0),
    inference(cnf_transformation,[],[f144]) ).

tff(f569,plain,
    spl7_24,
    inference(avatar_split_clause,[],[f314,f462]) ).

tff(f462,plain,
    ( spl7_24
  <=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).

tff(f314,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1)),
    inference(equality_proxy_replacement,[],[f177,f295]) ).

tff(f177,plain,
    use = a_select2(xinit_noise_defuse,n1),
    inference(cnf_transformation,[],[f144]) ).

tff(f568,plain,
    spl7_25,
    inference(avatar_split_clause,[],[f313,f466]) ).

tff(f466,plain,
    ( spl7_25
  <=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).

tff(f313,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2)),
    inference(equality_proxy_replacement,[],[f178,f295]) ).

tff(f178,plain,
    use = a_select2(xinit_noise_defuse,n2),
    inference(cnf_transformation,[],[f144]) ).

tff(f567,plain,
    spl7_26,
    inference(avatar_split_clause,[],[f312,f470]) ).

tff(f470,plain,
    ( spl7_26
  <=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).

tff(f312,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3)),
    inference(equality_proxy_replacement,[],[f179,f295]) ).

tff(f179,plain,
    use = a_select2(xinit_noise_defuse,n3),
    inference(cnf_transformation,[],[f144]) ).

tff(f566,plain,
    spl7_27,
    inference(avatar_split_clause,[],[f311,f474]) ).

tff(f474,plain,
    ( spl7_27
  <=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_27])]) ).

tff(f311,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4)),
    inference(equality_proxy_replacement,[],[f180,f295]) ).

tff(f180,plain,
    use = a_select2(xinit_noise_defuse,n4),
    inference(cnf_transformation,[],[f144]) ).

tff(f565,plain,
    spl7_28,
    inference(avatar_split_clause,[],[f310,f478]) ).

tff(f478,plain,
    ( spl7_28
  <=> sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).

tff(f310,plain,
    sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5)),
    inference(equality_proxy_replacement,[],[f181,f295]) ).

tff(f181,plain,
    use = a_select2(xinit_noise_defuse,n5),
    inference(cnf_transformation,[],[f144]) ).

tff(f564,plain,
    spl7_29,
    inference(avatar_split_clause,[],[f182,f482]) ).

tff(f482,plain,
    ( spl7_29
  <=> leq(n0,pv5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_29])]) ).

tff(f182,plain,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f144]) ).

tff(f563,plain,
    spl7_30,
    inference(avatar_split_clause,[],[f183,f486]) ).

tff(f486,plain,
    ( spl7_30
  <=> leq(n0,pv51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_30])]) ).

tff(f183,plain,
    leq(n0,pv51),
    inference(cnf_transformation,[],[f144]) ).

tff(f562,plain,
    spl7_31,
    inference(avatar_split_clause,[],[f185,f490]) ).

tff(f490,plain,
    ( spl7_31
  <=> leq(pv5,minus(n999,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_31])]) ).

tff(f185,plain,
    leq(pv5,minus(n999,n1)),
    inference(cnf_transformation,[],[f144]) ).

tff(f561,plain,
    spl7_32,
    inference(avatar_split_clause,[],[f186,f494]) ).

tff(f494,plain,
    ( spl7_32
  <=> leq(pv51,minus(n6,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_32])]) ).

tff(f186,plain,
    leq(pv51,minus(n6,n1)),
    inference(cnf_transformation,[],[f144]) ).

tff(f559,plain,
    ( spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | spl7_45 ),
    inference(avatar_split_clause,[],[f306,f556,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f370,plain,
    ( spl7_1
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

tff(f306,plain,
    ( leq(n0,sK3)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | sP0 ),
    inference(equality_proxy_replacement,[],[f191,f295]) ).

tff(f191,plain,
    ( leq(n0,sK3)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | sP0 ),
    inference(cnf_transformation,[],[f144]) ).

tff(f554,plain,
    ( spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | spl7_44 ),
    inference(avatar_split_clause,[],[f305,f551,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f305,plain,
    ( leq(n0,sK4)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | sP0 ),
    inference(equality_proxy_replacement,[],[f192,f295]) ).

tff(f192,plain,
    ( leq(n0,sK4)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | sP0 ),
    inference(cnf_transformation,[],[f144]) ).

tff(f549,plain,
    ( spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | spl7_43 ),
    inference(avatar_split_clause,[],[f304,f546,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f304,plain,
    ( leq(sK3,n2)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | sP0 ),
    inference(equality_proxy_replacement,[],[f193,f295]) ).

tff(f193,plain,
    ( leq(sK3,n2)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | sP0 ),
    inference(cnf_transformation,[],[f144]) ).

tff(f544,plain,
    ( spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | spl7_42 ),
    inference(avatar_split_clause,[],[f303,f541,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f303,plain,
    ( leq(sK4,minus(pv5,n1))
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | sP0 ),
    inference(equality_proxy_replacement,[],[f194,f295]) ).

tff(f194,plain,
    ( leq(sK4,minus(pv5,n1))
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | sP0 ),
    inference(cnf_transformation,[],[f144]) ).

tff(f539,plain,
    ( spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | ~ spl7_40
    | ~ spl7_41 ),
    inference(avatar_split_clause,[],[f302,f536,f532,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f302,plain,
    ( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK3,sK4))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK3,sK4))
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | sP0 ),
    inference(equality_proxy_replacement,[],[f195,f295]) ).

tff(f195,plain,
    ( ( use != a_select3(z_defuse,sK3,sK4) )
    | ( use != a_select3(u_defuse,sK3,sK4) )
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | sP0 ),
    inference(cnf_transformation,[],[f144]) ).

tff(f525,plain,
    ( ~ spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | spl7_38 ),
    inference(avatar_split_clause,[],[f300,f522,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f300,plain,
    ( leq(n0,sK1)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | ~ sP0 ),
    inference(equality_proxy_replacement,[],[f150,f295]) ).

tff(f150,plain,
    ( leq(n0,sK1)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f141]) ).

tff(f141,plain,
    ( ( ( ( ( ( use != a_select3(z_defuse,sK1,sK2) )
            | ( use != a_select3(u_defuse,sK1,sK2) ) )
          & leq(sK2,minus(pv5,n1))
          & leq(sK1,n2)
          & leq(n0,sK2)
          & leq(n0,sK1) )
        | ~ leq(pv51,minus(n6,n1))
        | ~ leq(pv5,minus(n999,n1))
        | ~ leq(n0,pv51)
        | ~ leq(n0,pv5)
        | ( use != a_select2(xinit_noise_defuse,n5) )
        | ( use != a_select2(xinit_noise_defuse,n4) )
        | ( use != a_select2(xinit_noise_defuse,n3) )
        | ( use != a_select2(xinit_noise_defuse,n2) )
        | ( use != a_select2(xinit_noise_defuse,n1) )
        | ( use != a_select2(xinit_noise_defuse,n0) )
        | ( use != a_select2(xinit_mean_defuse,n5) )
        | ( use != a_select2(xinit_mean_defuse,n4) )
        | ( use != a_select2(xinit_mean_defuse,n3) )
        | ( use != a_select2(xinit_mean_defuse,n2) )
        | ( use != a_select2(xinit_mean_defuse,n1) )
        | ( use != a_select2(xinit_mean_defuse,n0) )
        | ( use != a_select2(xinit_defuse,n5) )
        | ( use != a_select2(xinit_defuse,n4) )
        | ( use != a_select2(xinit_defuse,n3) )
        | ( use != a_select3(u_defuse,n2,n0) )
        | ( use != a_select3(u_defuse,n1,n0) )
        | ( use != a_select3(u_defuse,n0,n0) )
        | ( use != a_select2(sigma_defuse,n5) )
        | ( use != a_select2(sigma_defuse,n4) )
        | ( use != a_select2(sigma_defuse,n3) )
        | ( use != a_select2(sigma_defuse,n2) )
        | ( use != a_select2(sigma_defuse,n1) )
        | ( use != a_select2(sigma_defuse,n0) )
        | ( use != a_select2(rho_defuse,n2) )
        | ( use != a_select2(rho_defuse,n1) )
        | ( use != a_select2(rho_defuse,n0) ) )
      & ( pv51 != pv52 ) )
    | ~ sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f139,f140]) ).

tff(f140,plain,
    ( ? [X0,X1] :
        ( ( ( use != a_select3(z_defuse,X0,X1) )
          | ( use != a_select3(u_defuse,X0,X1) ) )
        & leq(X1,minus(pv5,n1))
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( ( ( use != a_select3(z_defuse,sK1,sK2) )
        | ( use != a_select3(u_defuse,sK1,sK2) ) )
      & leq(sK2,minus(pv5,n1))
      & leq(sK1,n2)
      & leq(n0,sK2)
      & leq(n0,sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f139,plain,
    ( ( ( ? [X0,X1] :
            ( ( ( use != a_select3(z_defuse,X0,X1) )
              | ( use != a_select3(u_defuse,X0,X1) ) )
            & leq(X1,minus(pv5,n1))
            & leq(X0,n2)
            & leq(n0,X1)
            & leq(n0,X0) )
        | ~ leq(pv51,minus(n6,n1))
        | ~ leq(pv5,minus(n999,n1))
        | ~ leq(n0,pv51)
        | ~ leq(n0,pv5)
        | ( use != a_select2(xinit_noise_defuse,n5) )
        | ( use != a_select2(xinit_noise_defuse,n4) )
        | ( use != a_select2(xinit_noise_defuse,n3) )
        | ( use != a_select2(xinit_noise_defuse,n2) )
        | ( use != a_select2(xinit_noise_defuse,n1) )
        | ( use != a_select2(xinit_noise_defuse,n0) )
        | ( use != a_select2(xinit_mean_defuse,n5) )
        | ( use != a_select2(xinit_mean_defuse,n4) )
        | ( use != a_select2(xinit_mean_defuse,n3) )
        | ( use != a_select2(xinit_mean_defuse,n2) )
        | ( use != a_select2(xinit_mean_defuse,n1) )
        | ( use != a_select2(xinit_mean_defuse,n0) )
        | ( use != a_select2(xinit_defuse,n5) )
        | ( use != a_select2(xinit_defuse,n4) )
        | ( use != a_select2(xinit_defuse,n3) )
        | ( use != a_select3(u_defuse,n2,n0) )
        | ( use != a_select3(u_defuse,n1,n0) )
        | ( use != a_select3(u_defuse,n0,n0) )
        | ( use != a_select2(sigma_defuse,n5) )
        | ( use != a_select2(sigma_defuse,n4) )
        | ( use != a_select2(sigma_defuse,n3) )
        | ( use != a_select2(sigma_defuse,n2) )
        | ( use != a_select2(sigma_defuse,n1) )
        | ( use != a_select2(sigma_defuse,n0) )
        | ( use != a_select2(rho_defuse,n2) )
        | ( use != a_select2(rho_defuse,n1) )
        | ( use != a_select2(rho_defuse,n0) ) )
      & ( pv51 != pv52 ) )
    | ~ sP0 ),
    inference(rectify,[],[f138]) ).

tff(f138,plain,
    ( ( ( ? [X4,X5] :
            ( ( ( use != a_select3(z_defuse,X4,X5) )
              | ( use != a_select3(u_defuse,X4,X5) ) )
            & leq(X5,minus(pv5,n1))
            & leq(X4,n2)
            & leq(n0,X5)
            & leq(n0,X4) )
        | ~ leq(pv51,minus(n6,n1))
        | ~ leq(pv5,minus(n999,n1))
        | ~ leq(n0,pv51)
        | ~ leq(n0,pv5)
        | ( use != a_select2(xinit_noise_defuse,n5) )
        | ( use != a_select2(xinit_noise_defuse,n4) )
        | ( use != a_select2(xinit_noise_defuse,n3) )
        | ( use != a_select2(xinit_noise_defuse,n2) )
        | ( use != a_select2(xinit_noise_defuse,n1) )
        | ( use != a_select2(xinit_noise_defuse,n0) )
        | ( use != a_select2(xinit_mean_defuse,n5) )
        | ( use != a_select2(xinit_mean_defuse,n4) )
        | ( use != a_select2(xinit_mean_defuse,n3) )
        | ( use != a_select2(xinit_mean_defuse,n2) )
        | ( use != a_select2(xinit_mean_defuse,n1) )
        | ( use != a_select2(xinit_mean_defuse,n0) )
        | ( use != a_select2(xinit_defuse,n5) )
        | ( use != a_select2(xinit_defuse,n4) )
        | ( use != a_select2(xinit_defuse,n3) )
        | ( use != a_select3(u_defuse,n2,n0) )
        | ( use != a_select3(u_defuse,n1,n0) )
        | ( use != a_select3(u_defuse,n0,n0) )
        | ( use != a_select2(sigma_defuse,n5) )
        | ( use != a_select2(sigma_defuse,n4) )
        | ( use != a_select2(sigma_defuse,n3) )
        | ( use != a_select2(sigma_defuse,n2) )
        | ( use != a_select2(sigma_defuse,n1) )
        | ( use != a_select2(sigma_defuse,n0) )
        | ( use != a_select2(rho_defuse,n2) )
        | ( use != a_select2(rho_defuse,n1) )
        | ( use != a_select2(rho_defuse,n0) ) )
      & ( pv51 != pv52 ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f136]) ).

tff(f520,plain,
    ( ~ spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | spl7_37 ),
    inference(avatar_split_clause,[],[f299,f517,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f299,plain,
    ( leq(n0,sK2)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | ~ sP0 ),
    inference(equality_proxy_replacement,[],[f151,f295]) ).

tff(f151,plain,
    ( leq(n0,sK2)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f141]) ).

tff(f515,plain,
    ( ~ spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | spl7_36 ),
    inference(avatar_split_clause,[],[f298,f512,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f298,plain,
    ( leq(sK1,n2)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | ~ sP0 ),
    inference(equality_proxy_replacement,[],[f152,f295]) ).

tff(f152,plain,
    ( leq(sK1,n2)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f141]) ).

tff(f510,plain,
    ( ~ spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | spl7_35 ),
    inference(avatar_split_clause,[],[f297,f507,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f297,plain,
    ( leq(sK2,minus(pv5,n1))
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | ~ sP0 ),
    inference(equality_proxy_replacement,[],[f153,f295]) ).

tff(f153,plain,
    ( leq(sK2,minus(pv5,n1))
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f141]) ).

tff(f505,plain,
    ( ~ spl7_1
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14
    | ~ spl7_15
    | ~ spl7_16
    | ~ spl7_17
    | ~ spl7_18
    | ~ spl7_19
    | ~ spl7_20
    | ~ spl7_21
    | ~ spl7_22
    | ~ spl7_23
    | ~ spl7_24
    | ~ spl7_25
    | ~ spl7_26
    | ~ spl7_27
    | ~ spl7_28
    | ~ spl7_29
    | ~ spl7_30
    | ~ spl7_31
    | ~ spl7_32
    | ~ spl7_33
    | ~ spl7_34 ),
    inference(avatar_split_clause,[],[f296,f502,f498,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370]) ).

tff(f296,plain,
    ( ~ sQ6_eqProxy($i,use,a_select3(z_defuse,sK1,sK2))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,sK1,sK2))
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_noise_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_mean_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(xinit_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n2,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n1,n0))
    | ~ sQ6_eqProxy($i,use,a_select3(u_defuse,n0,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n5))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n4))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n3))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(sigma_defuse,n0))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n2))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n1))
    | ~ sQ6_eqProxy($i,use,a_select2(rho_defuse,n0))
    | ~ sP0 ),
    inference(equality_proxy_replacement,[],[f154,f295]) ).

tff(f154,plain,
    ( ( use != a_select3(z_defuse,sK1,sK2) )
    | ( use != a_select3(u_defuse,sK1,sK2) )
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ( use != a_select2(xinit_noise_defuse,n5) )
    | ( use != a_select2(xinit_noise_defuse,n4) )
    | ( use != a_select2(xinit_noise_defuse,n3) )
    | ( use != a_select2(xinit_noise_defuse,n2) )
    | ( use != a_select2(xinit_noise_defuse,n1) )
    | ( use != a_select2(xinit_noise_defuse,n0) )
    | ( use != a_select2(xinit_mean_defuse,n5) )
    | ( use != a_select2(xinit_mean_defuse,n4) )
    | ( use != a_select2(xinit_mean_defuse,n3) )
    | ( use != a_select2(xinit_mean_defuse,n2) )
    | ( use != a_select2(xinit_mean_defuse,n1) )
    | ( use != a_select2(xinit_mean_defuse,n0) )
    | ( use != a_select2(xinit_defuse,n5) )
    | ( use != a_select2(xinit_defuse,n4) )
    | ( use != a_select2(xinit_defuse,n3) )
    | ( use != a_select3(u_defuse,n2,n0) )
    | ( use != a_select3(u_defuse,n1,n0) )
    | ( use != a_select3(u_defuse,n0,n0) )
    | ( use != a_select2(sigma_defuse,n5) )
    | ( use != a_select2(sigma_defuse,n4) )
    | ( use != a_select2(sigma_defuse,n3) )
    | ( use != a_select2(sigma_defuse,n2) )
    | ( use != a_select2(sigma_defuse,n1) )
    | ( use != a_select2(sigma_defuse,n0) )
    | ( use != a_select2(rho_defuse,n2) )
    | ( use != a_select2(rho_defuse,n1) )
    | ( use != a_select2(rho_defuse,n0) )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWV094+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 18:33:51 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.WmiwiNFotK/Vampire---4.8_5861
% 0.61/0.80  % (5972)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (5974)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.80  % (5973)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80  % (5970)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.80  % (5971)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.80  % (5975)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80  % (5976)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.80  % (5977)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.81  % (5970)First to succeed.
% 0.61/0.82  % (5974)Instruction limit reached!
% 0.61/0.82  % (5974)------------------------------
% 0.61/0.82  % (5974)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (5974)Termination reason: Unknown
% 0.61/0.82  % (5974)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (5974)Memory used [KB]: 1541
% 0.61/0.82  % (5974)Time elapsed: 0.016 s
% 0.61/0.82  % (5974)Instructions burned: 35 (million)
% 0.61/0.82  % (5974)------------------------------
% 0.61/0.82  % (5974)------------------------------
% 0.61/0.82  % (5972)Also succeeded, but the first one will report.
% 0.61/0.82  % (5970)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Theorem for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (5970)------------------------------
% 0.61/0.82  % (5970)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (5970)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (5970)Memory used [KB]: 1291
% 0.61/0.82  % (5970)Time elapsed: 0.016 s
% 0.61/0.82  % (5970)Instructions burned: 33 (million)
% 0.61/0.82  % (5970)------------------------------
% 0.61/0.82  % (5970)------------------------------
% 0.61/0.82  % (5968)Success in time 0.493 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------