TSTP Solution File: SWV097+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV097+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:44:08 EDT 2022

% Result   : Theorem 0.16s 0.53s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  179 (  59 unt;   0 def)
%            Number of atoms       : 1362 ( 715 equ)
%            Maximal formula atoms :   82 (   7 avg)
%            Number of connectives : 1856 ( 673   ~; 671   |; 453   &)
%                                         (  42 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   46 (  44 usr;  44 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  20 con; 0-3 aty)
%            Number of variables   :   74 (  52   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f567,plain,
    $false,
    inference(avatar_sat_refutation,[],[f375,f376,f381,f382,f383,f388,f389,f398,f399,f400,f401,f402,f407,f408,f409,f410,f419,f420,f425,f430,f435,f436,f437,f438,f439,f440,f441,f442,f447,f448,f449,f450,f451,f452,f453,f454,f455,f456,f457,f527,f542,f551,f563]) ).

fof(f563,plain,
    ( ~ spl5_28
    | ~ spl5_32
    | spl5_35
    | ~ spl5_40
    | ~ spl5_42 ),
    inference(avatar_contradiction_clause,[],[f562]) ).

fof(f562,plain,
    ( $false
    | ~ spl5_28
    | ~ spl5_32
    | spl5_35
    | ~ spl5_40
    | ~ spl5_42 ),
    inference(subsumption_resolution,[],[f561,f380]) ).

fof(f380,plain,
    ( leq(n0,sK4)
    | ~ spl5_32 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl5_32
  <=> leq(n0,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).

fof(f561,plain,
    ( ~ leq(n0,sK4)
    | ~ spl5_28
    | spl5_35
    | ~ spl5_40
    | ~ spl5_42 ),
    inference(subsumption_resolution,[],[f560,f429]) ).

fof(f429,plain,
    ( leq(sK4,minus(pv5,n1))
    | ~ spl5_40 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f427,plain,
    ( spl5_40
  <=> leq(sK4,minus(pv5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).

fof(f560,plain,
    ( ~ leq(sK4,minus(pv5,n1))
    | ~ leq(n0,sK4)
    | ~ spl5_28
    | spl5_35
    | ~ spl5_42 ),
    inference(subsumption_resolution,[],[f559,f362]) ).

fof(f362,plain,
    ( leq(n0,sK3)
    | ~ spl5_28 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f360,plain,
    ( spl5_28
  <=> leq(n0,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).

fof(f559,plain,
    ( ~ leq(n0,sK3)
    | ~ leq(n0,sK4)
    | ~ leq(sK4,minus(pv5,n1))
    | spl5_35
    | ~ spl5_42 ),
    inference(subsumption_resolution,[],[f558,f446]) ).

fof(f446,plain,
    ( leq(sK3,n2)
    | ~ spl5_42 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl5_42
  <=> leq(sK3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).

fof(f558,plain,
    ( ~ leq(sK3,n2)
    | ~ leq(sK4,minus(pv5,n1))
    | ~ leq(n0,sK4)
    | ~ leq(n0,sK3)
    | spl5_35 ),
    inference(trivial_inequality_removal,[],[f555]) ).

fof(f555,plain,
    ( ~ leq(sK4,minus(pv5,n1))
    | ~ leq(sK3,n2)
    | ~ leq(n0,sK3)
    | use != use
    | ~ leq(n0,sK4)
    | spl5_35 ),
    inference(superposition,[],[f397,f166]) ).

fof(f166,plain,
    ! [X4,X5] :
      ( use = a_select3(u_defuse,X4,X5)
      | ~ leq(n0,X4)
      | ~ leq(X5,minus(pv5,n1))
      | ~ leq(X4,n2)
      | ~ leq(n0,X5) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ! [X0,X1] :
        ( ( use = a_select3(z_defuse,X0,X1)
          & use = a_select3(u_defuse,X0,X1) )
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(X1,pv5)
        | ~ leq(n0,X0) )
    & use = a_select2(sigma_defuse,n1)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n5)
    & ( use != a_select2(xinit_defuse,n3)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select3(u_defuse,n0,n0)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(xinit_noise_defuse,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select2(xinit_mean_defuse,n3)
      | use != a_select2(xinit_mean_defuse,n0)
      | ( leq(sK3,n2)
        & ( use != a_select3(u_defuse,sK3,sK4)
          | use != a_select3(z_defuse,sK3,sK4) )
        & leq(n0,sK4)
        & leq(sK4,minus(pv5,n1))
        & leq(n0,sK3) )
      | use != a_select2(xinit_noise_defuse,n5)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(rho_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n3)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n4)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n5)
      | ~ leq(n0,pv5)
      | use != a_select2(xinit_noise_defuse,n2)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(xinit_noise_defuse,n1)
      | sP0
      | use != a_select2(sigma_defuse,n3)
      | ~ leq(pv5,minus(n999,n1)) )
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n5)
    & leq(n0,pv5)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_defuse,n5)
    & ! [X4,X5] :
        ( ~ leq(X5,minus(pv5,n1))
        | ( use = a_select3(z_defuse,X4,X5)
          & use = a_select3(u_defuse,X4,X5) )
        | ~ leq(n0,X4)
        | ~ leq(n0,X5)
        | ~ leq(X4,n2) )
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_defuse,n3)
    & leq(pv5,minus(n999,n1))
    & use = a_select2(sigma_defuse,n2)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f132,f133]) ).

fof(f133,plain,
    ( ? [X2,X3] :
        ( leq(X2,n2)
        & ( use != a_select3(u_defuse,X2,X3)
          | use != a_select3(z_defuse,X2,X3) )
        & leq(n0,X3)
        & leq(X3,minus(pv5,n1))
        & leq(n0,X2) )
   => ( leq(sK3,n2)
      & ( use != a_select3(u_defuse,sK3,sK4)
        | use != a_select3(z_defuse,sK3,sK4) )
      & leq(n0,sK4)
      & leq(sK4,minus(pv5,n1))
      & leq(n0,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ! [X0,X1] :
        ( ( use = a_select3(z_defuse,X0,X1)
          & use = a_select3(u_defuse,X0,X1) )
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(X1,pv5)
        | ~ leq(n0,X0) )
    & use = a_select2(sigma_defuse,n1)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n5)
    & ( use != a_select2(xinit_defuse,n3)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select3(u_defuse,n0,n0)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(xinit_noise_defuse,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select2(xinit_mean_defuse,n3)
      | use != a_select2(xinit_mean_defuse,n0)
      | ? [X2,X3] :
          ( leq(X2,n2)
          & ( use != a_select3(u_defuse,X2,X3)
            | use != a_select3(z_defuse,X2,X3) )
          & leq(n0,X3)
          & leq(X3,minus(pv5,n1))
          & leq(n0,X2) )
      | use != a_select2(xinit_noise_defuse,n5)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(rho_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n3)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n4)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n5)
      | ~ leq(n0,pv5)
      | use != a_select2(xinit_noise_defuse,n2)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(xinit_noise_defuse,n1)
      | sP0
      | use != a_select2(sigma_defuse,n3)
      | ~ leq(pv5,minus(n999,n1)) )
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n5)
    & leq(n0,pv5)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_defuse,n5)
    & ! [X4,X5] :
        ( ~ leq(X5,minus(pv5,n1))
        | ( use = a_select3(z_defuse,X4,X5)
          & use = a_select3(u_defuse,X4,X5) )
        | ~ leq(n0,X4)
        | ~ leq(n0,X5)
        | ~ leq(X4,n2) )
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_defuse,n3)
    & leq(pv5,minus(n999,n1))
    & use = a_select2(sigma_defuse,n2)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ( ! [X0,X1] :
        ( ( use = a_select3(z_defuse,X0,X1)
          & use = a_select3(u_defuse,X0,X1) )
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(X1,pv5)
        | ~ leq(n0,X0) )
    & use = a_select2(sigma_defuse,n1)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n5)
    & ( use != a_select2(xinit_defuse,n3)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select3(u_defuse,n0,n0)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(xinit_noise_defuse,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select2(xinit_mean_defuse,n3)
      | use != a_select2(xinit_mean_defuse,n0)
      | ? [X4,X5] :
          ( leq(X4,n2)
          & ( use != a_select3(u_defuse,X4,X5)
            | use != a_select3(z_defuse,X4,X5) )
          & leq(n0,X5)
          & leq(X5,minus(pv5,n1))
          & leq(n0,X4) )
      | use != a_select2(xinit_noise_defuse,n5)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(rho_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n3)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n4)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n5)
      | ~ leq(n0,pv5)
      | use != a_select2(xinit_noise_defuse,n2)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(xinit_noise_defuse,n1)
      | sP0
      | use != a_select2(sigma_defuse,n3)
      | ~ leq(pv5,minus(n999,n1)) )
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n5)
    & leq(n0,pv5)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_defuse,n5)
    & ! [X2,X3] :
        ( ~ leq(X3,minus(pv5,n1))
        | ( use = a_select3(z_defuse,X2,X3)
          & use = a_select3(u_defuse,X2,X3) )
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,n2) )
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_defuse,n3)
    & leq(pv5,minus(n999,n1))
    & use = a_select2(sigma_defuse,n2)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0) ),
    inference(definition_folding,[],[f124,f125]) ).

fof(f125,plain,
    ( ? [X7,X6] :
        ( leq(X7,pv5)
        & leq(n0,X6)
        & leq(n0,X7)
        & leq(X6,n2)
        & ( use != a_select3(z_defuse,X6,X7)
          | use != a_select3(u_defuse,X6,X7) ) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f124,plain,
    ( ! [X0,X1] :
        ( ( use = a_select3(z_defuse,X0,X1)
          & use = a_select3(u_defuse,X0,X1) )
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(X1,pv5)
        | ~ leq(n0,X0) )
    & use = a_select2(sigma_defuse,n1)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n5)
    & ( use != a_select2(xinit_defuse,n3)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select3(u_defuse,n0,n0)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(xinit_noise_defuse,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select2(xinit_mean_defuse,n3)
      | use != a_select2(xinit_mean_defuse,n0)
      | ? [X4,X5] :
          ( leq(X4,n2)
          & ( use != a_select3(u_defuse,X4,X5)
            | use != a_select3(z_defuse,X4,X5) )
          & leq(n0,X5)
          & leq(X5,minus(pv5,n1))
          & leq(n0,X4) )
      | use != a_select2(xinit_noise_defuse,n5)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(rho_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n3)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n4)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n5)
      | ~ leq(n0,pv5)
      | use != a_select2(xinit_noise_defuse,n2)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(xinit_noise_defuse,n1)
      | ? [X7,X6] :
          ( leq(X7,pv5)
          & leq(n0,X6)
          & leq(n0,X7)
          & leq(X6,n2)
          & ( use != a_select3(z_defuse,X6,X7)
            | use != a_select3(u_defuse,X6,X7) ) )
      | use != a_select2(sigma_defuse,n3)
      | ~ leq(pv5,minus(n999,n1)) )
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n5)
    & leq(n0,pv5)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_defuse,n5)
    & ! [X2,X3] :
        ( ~ leq(X3,minus(pv5,n1))
        | ( use = a_select3(z_defuse,X2,X3)
          & use = a_select3(u_defuse,X2,X3) )
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,n2) )
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_defuse,n3)
    & leq(pv5,minus(n999,n1))
    & use = a_select2(sigma_defuse,n2)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0) ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ( ( use != a_select2(sigma_defuse,n3)
      | use != a_select2(xinit_noise_defuse,n5)
      | use != a_select2(xinit_noise_defuse,n3)
      | use != a_select2(xinit_noise_defuse,n1)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_noise_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n2)
      | ~ leq(pv5,minus(n999,n1))
      | use != a_select2(xinit_mean_defuse,n0)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n5)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(rho_defuse,n0)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select2(sigma_defuse,n0)
      | ~ leq(n0,pv5)
      | ? [X5,X4] :
          ( ( use != a_select3(u_defuse,X4,X5)
            | use != a_select3(z_defuse,X4,X5) )
          & leq(n0,X5)
          & leq(n0,X4)
          & leq(X5,minus(pv5,n1))
          & leq(X4,n2) )
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_defuse,n3)
      | use != a_select2(xinit_noise_defuse,n4)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(rho_defuse,n2)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n3)
      | ? [X7,X6] :
          ( ( use != a_select3(z_defuse,X6,X7)
            | use != a_select3(u_defuse,X6,X7) )
          & leq(X7,pv5)
          & leq(n0,X7)
          & leq(X6,n2)
          & leq(n0,X6) )
      | use != a_select3(u_defuse,n0,n0) )
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select3(u_defuse,n1,n0)
    & ! [X2,X3] :
        ( ( use = a_select3(z_defuse,X2,X3)
          & use = a_select3(u_defuse,X2,X3) )
        | ~ leq(n0,X3)
        | ~ leq(n0,X2)
        | ~ leq(X3,minus(pv5,n1))
        | ~ leq(X2,n2) )
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n3)
    & ! [X1,X0] :
        ( ( use = a_select3(z_defuse,X0,X1)
          & use = a_select3(u_defuse,X0,X1) )
        | ~ leq(X1,pv5)
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(sigma_defuse,n3)
    & leq(pv5,minus(n999,n1))
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n5)
    & leq(n0,pv5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(sigma_defuse,n5) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select3(u_defuse,n1,n0)
        & ! [X2,X3] :
            ( ( leq(n0,X3)
              & leq(n0,X2)
              & leq(X3,minus(pv5,n1))
              & leq(X2,n2) )
           => ( use = a_select3(z_defuse,X2,X3)
              & use = a_select3(u_defuse,X2,X3) ) )
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n3)
        & ! [X1,X0] :
            ( ( leq(X1,pv5)
              & leq(X0,n2)
              & leq(n0,X1)
              & leq(n0,X0) )
           => ( use = a_select3(z_defuse,X0,X1)
              & use = a_select3(u_defuse,X0,X1) ) )
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(rho_defuse,n0)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(sigma_defuse,n3)
        & leq(pv5,minus(n999,n1))
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n5)
        & leq(n0,pv5)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(sigma_defuse,n5) )
     => ( use = a_select2(sigma_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_noise_defuse,n2)
        & leq(pv5,minus(n999,n1))
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(rho_defuse,n0)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(sigma_defuse,n0)
        & leq(n0,pv5)
        & ! [X5,X4] :
            ( ( leq(n0,X5)
              & leq(n0,X4)
              & leq(X5,minus(pv5,n1))
              & leq(X4,n2) )
           => ( use = a_select3(u_defuse,X4,X5)
              & use = a_select3(z_defuse,X4,X5) ) )
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(rho_defuse,n2)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n3)
        & ! [X7,X6] :
            ( ( leq(X7,pv5)
              & leq(n0,X7)
              & leq(X6,n2)
              & leq(n0,X6) )
           => ( use = a_select3(u_defuse,X6,X7)
              & use = a_select3(z_defuse,X6,X7) ) )
        & use = a_select3(u_defuse,n0,n0) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select3(u_defuse,n1,n0)
        & ! [X13,X17] :
            ( ( leq(n0,X17)
              & leq(n0,X13)
              & leq(X13,n2)
              & leq(X17,pv5) )
           => ( use = a_select3(u_defuse,X13,X17)
              & use = a_select3(z_defuse,X13,X17) ) )
        & ! [X3,X19] :
            ( ( leq(n0,X19)
              & leq(n0,X3)
              & leq(X19,minus(pv5,n1))
              & leq(X3,n2) )
           => ( use = a_select3(z_defuse,X3,X19)
              & use = a_select3(u_defuse,X3,X19) ) )
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(xinit_noise_defuse,n3)
        & leq(pv5,minus(n999,n1))
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(sigma_defuse,n2)
        & leq(n0,pv5)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(rho_defuse,n0) )
     => ( use = a_select3(u_defuse,n1,n0)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(rho_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n3)
        & ! [X27,X28] :
            ( ( leq(n0,X27)
              & leq(X28,minus(pv5,n1))
              & leq(X27,n2)
              & leq(n0,X28) )
           => ( use = a_select3(u_defuse,X27,X28)
              & use = a_select3(z_defuse,X27,X28) ) )
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n4)
        & leq(n0,pv5)
        & use = a_select2(xinit_noise_defuse,n2)
        & leq(pv5,minus(n999,n1))
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select3(u_defuse,n0,n0)
        & ! [X20,X21] :
            ( ( leq(X21,pv5)
              & leq(X20,n2)
              & leq(n0,X20)
              & leq(n0,X21) )
           => ( use = a_select3(u_defuse,X20,X21)
              & use = a_select3(z_defuse,X20,X21) ) )
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(xinit_mean_defuse,n0) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( use = a_select2(xinit_defuse,n5)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select2(xinit_mean_defuse,n0)
      & use = a_select3(u_defuse,n1,n0)
      & ! [X13,X17] :
          ( ( leq(n0,X17)
            & leq(n0,X13)
            & leq(X13,n2)
            & leq(X17,pv5) )
         => ( use = a_select3(u_defuse,X13,X17)
            & use = a_select3(z_defuse,X13,X17) ) )
      & ! [X3,X19] :
          ( ( leq(n0,X19)
            & leq(n0,X3)
            & leq(X19,minus(pv5,n1))
            & leq(X3,n2) )
         => ( use = a_select3(z_defuse,X3,X19)
            & use = a_select3(u_defuse,X3,X19) ) )
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(xinit_noise_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select2(xinit_noise_defuse,n3)
      & leq(pv5,minus(n999,n1))
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(sigma_defuse,n2)
      & leq(n0,pv5)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(rho_defuse,n0) )
   => ( use = a_select3(u_defuse,n1,n0)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(rho_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(sigma_defuse,n2)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(xinit_noise_defuse,n3)
      & ! [X27,X28] :
          ( ( leq(n0,X27)
            & leq(X28,minus(pv5,n1))
            & leq(X27,n2)
            & leq(n0,X28) )
         => ( use = a_select3(u_defuse,X27,X28)
            & use = a_select3(z_defuse,X27,X28) ) )
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(xinit_noise_defuse,n4)
      & leq(n0,pv5)
      & use = a_select2(xinit_noise_defuse,n2)
      & leq(pv5,minus(n999,n1))
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select3(u_defuse,n0,n0)
      & ! [X20,X21] :
          ( ( leq(X21,pv5)
            & leq(X20,n2)
            & leq(n0,X20)
            & leq(n0,X21) )
         => ( use = a_select3(u_defuse,X20,X21)
            & use = a_select3(z_defuse,X20,X21) ) )
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(xinit_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select2(xinit_mean_defuse,n0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).

fof(f397,plain,
    ( use != a_select3(u_defuse,sK3,sK4)
    | spl5_35 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f395,plain,
    ( spl5_35
  <=> use = a_select3(u_defuse,sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).

fof(f551,plain,
    ( ~ spl5_28
    | ~ spl5_32
    | spl5_34
    | ~ spl5_40
    | ~ spl5_42 ),
    inference(avatar_contradiction_clause,[],[f550]) ).

fof(f550,plain,
    ( $false
    | ~ spl5_28
    | ~ spl5_32
    | spl5_34
    | ~ spl5_40
    | ~ spl5_42 ),
    inference(subsumption_resolution,[],[f549,f429]) ).

fof(f549,plain,
    ( ~ leq(sK4,minus(pv5,n1))
    | ~ spl5_28
    | ~ spl5_32
    | spl5_34
    | ~ spl5_42 ),
    inference(subsumption_resolution,[],[f548,f380]) ).

fof(f548,plain,
    ( ~ leq(n0,sK4)
    | ~ leq(sK4,minus(pv5,n1))
    | ~ spl5_28
    | spl5_34
    | ~ spl5_42 ),
    inference(subsumption_resolution,[],[f547,f362]) ).

fof(f547,plain,
    ( ~ leq(n0,sK3)
    | ~ leq(n0,sK4)
    | ~ leq(sK4,minus(pv5,n1))
    | spl5_34
    | ~ spl5_42 ),
    inference(subsumption_resolution,[],[f546,f446]) ).

fof(f546,plain,
    ( ~ leq(sK3,n2)
    | ~ leq(sK4,minus(pv5,n1))
    | ~ leq(n0,sK3)
    | ~ leq(n0,sK4)
    | spl5_34 ),
    inference(trivial_inequality_removal,[],[f543]) ).

fof(f543,plain,
    ( ~ leq(n0,sK3)
    | use != use
    | ~ leq(sK3,n2)
    | ~ leq(sK4,minus(pv5,n1))
    | ~ leq(n0,sK4)
    | spl5_34 ),
    inference(superposition,[],[f393,f167]) ).

fof(f167,plain,
    ! [X4,X5] :
      ( use = a_select3(z_defuse,X4,X5)
      | ~ leq(X5,minus(pv5,n1))
      | ~ leq(n0,X5)
      | ~ leq(n0,X4)
      | ~ leq(X4,n2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f393,plain,
    ( use != a_select3(z_defuse,sK3,sK4)
    | spl5_34 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f391,plain,
    ( spl5_34
  <=> use = a_select3(z_defuse,sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).

fof(f542,plain,
    ( ~ spl5_33
    | ~ spl5_36
    | spl5_37
    | ~ spl5_39
    | ~ spl5_41 ),
    inference(avatar_contradiction_clause,[],[f541]) ).

fof(f541,plain,
    ( $false
    | ~ spl5_33
    | ~ spl5_36
    | spl5_37
    | ~ spl5_39
    | ~ spl5_41 ),
    inference(subsumption_resolution,[],[f540,f424]) ).

fof(f424,plain,
    ( leq(sK1,pv5)
    | ~ spl5_39 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f422,plain,
    ( spl5_39
  <=> leq(sK1,pv5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).

fof(f540,plain,
    ( ~ leq(sK1,pv5)
    | ~ spl5_33
    | ~ spl5_36
    | spl5_37
    | ~ spl5_41 ),
    inference(subsumption_resolution,[],[f539,f434]) ).

fof(f434,plain,
    ( leq(n0,sK2)
    | ~ spl5_41 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f432,plain,
    ( spl5_41
  <=> leq(n0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).

fof(f539,plain,
    ( ~ leq(n0,sK2)
    | ~ leq(sK1,pv5)
    | ~ spl5_33
    | ~ spl5_36
    | spl5_37 ),
    inference(subsumption_resolution,[],[f538,f387]) ).

fof(f387,plain,
    ( leq(n0,sK1)
    | ~ spl5_33 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl5_33
  <=> leq(n0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).

fof(f538,plain,
    ( ~ leq(n0,sK1)
    | ~ leq(sK1,pv5)
    | ~ leq(n0,sK2)
    | ~ spl5_36
    | spl5_37 ),
    inference(subsumption_resolution,[],[f533,f406]) ).

fof(f406,plain,
    ( leq(sK2,n2)
    | ~ spl5_36 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f404,plain,
    ( spl5_36
  <=> leq(sK2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).

fof(f533,plain,
    ( ~ leq(sK2,n2)
    | ~ leq(n0,sK2)
    | ~ leq(sK1,pv5)
    | ~ leq(n0,sK1)
    | spl5_37 ),
    inference(trivial_inequality_removal,[],[f532]) ).

fof(f532,plain,
    ( ~ leq(n0,sK2)
    | ~ leq(n0,sK1)
    | use != use
    | ~ leq(sK1,pv5)
    | ~ leq(sK2,n2)
    | spl5_37 ),
    inference(superposition,[],[f414,f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( use = a_select3(z_defuse,X0,X1)
      | ~ leq(n0,X1)
      | ~ leq(X0,n2)
      | ~ leq(n0,X0)
      | ~ leq(X1,pv5) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f414,plain,
    ( use != a_select3(z_defuse,sK2,sK1)
    | spl5_37 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f412,plain,
    ( spl5_37
  <=> use = a_select3(z_defuse,sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).

fof(f527,plain,
    ( ~ spl5_33
    | ~ spl5_36
    | spl5_38
    | ~ spl5_39
    | ~ spl5_41 ),
    inference(avatar_contradiction_clause,[],[f526]) ).

fof(f526,plain,
    ( $false
    | ~ spl5_33
    | ~ spl5_36
    | spl5_38
    | ~ spl5_39
    | ~ spl5_41 ),
    inference(subsumption_resolution,[],[f525,f424]) ).

fof(f525,plain,
    ( ~ leq(sK1,pv5)
    | ~ spl5_33
    | ~ spl5_36
    | spl5_38
    | ~ spl5_41 ),
    inference(subsumption_resolution,[],[f524,f406]) ).

fof(f524,plain,
    ( ~ leq(sK2,n2)
    | ~ leq(sK1,pv5)
    | ~ spl5_33
    | spl5_38
    | ~ spl5_41 ),
    inference(subsumption_resolution,[],[f523,f387]) ).

fof(f523,plain,
    ( ~ leq(n0,sK1)
    | ~ leq(sK1,pv5)
    | ~ leq(sK2,n2)
    | spl5_38
    | ~ spl5_41 ),
    inference(subsumption_resolution,[],[f522,f434]) ).

fof(f522,plain,
    ( ~ leq(n0,sK2)
    | ~ leq(sK2,n2)
    | ~ leq(n0,sK1)
    | ~ leq(sK1,pv5)
    | spl5_38 ),
    inference(trivial_inequality_removal,[],[f520]) ).

fof(f520,plain,
    ( ~ leq(sK2,n2)
    | ~ leq(sK1,pv5)
    | ~ leq(n0,sK2)
    | ~ leq(n0,sK1)
    | use != use
    | spl5_38 ),
    inference(superposition,[],[f418,f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( use = a_select3(u_defuse,X0,X1)
      | ~ leq(n0,X0)
      | ~ leq(X0,n2)
      | ~ leq(X1,pv5)
      | ~ leq(n0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f418,plain,
    ( use != a_select3(u_defuse,sK2,sK1)
    | spl5_38 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f416,plain,
    ( spl5_38
  <=> use = a_select3(u_defuse,sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).

fof(f457,plain,
    spl5_2,
    inference(avatar_split_clause,[],[f190,f256]) ).

fof(f256,plain,
    ( spl5_2
  <=> use = a_select2(xinit_noise_defuse,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f190,plain,
    use = a_select2(xinit_noise_defuse,n4),
    inference(cnf_transformation,[],[f134]) ).

fof(f456,plain,
    spl5_21,
    inference(avatar_split_clause,[],[f182,f332]) ).

fof(f332,plain,
    ( spl5_21
  <=> use = a_select2(rho_defuse,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).

fof(f182,plain,
    use = a_select2(rho_defuse,n0),
    inference(cnf_transformation,[],[f134]) ).

fof(f455,plain,
    spl5_5,
    inference(avatar_split_clause,[],[f162,f268]) ).

fof(f268,plain,
    ( spl5_5
  <=> leq(pv5,minus(n999,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f162,plain,
    leq(pv5,minus(n999,n1)),
    inference(cnf_transformation,[],[f134]) ).

fof(f454,plain,
    spl5_8,
    inference(avatar_split_clause,[],[f191,f280]) ).

fof(f280,plain,
    ( spl5_8
  <=> use = a_select3(u_defuse,n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

fof(f191,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f134]) ).

fof(f453,plain,
    spl5_1,
    inference(avatar_split_clause,[],[f192,f252]) ).

fof(f252,plain,
    ( spl5_1
  <=> use = a_select2(sigma_defuse,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f192,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f134]) ).

fof(f452,plain,
    spl5_16,
    inference(avatar_split_clause,[],[f159,f312]) ).

fof(f312,plain,
    ( spl5_16
  <=> use = a_select2(xinit_mean_defuse,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).

fof(f159,plain,
    use = a_select2(xinit_mean_defuse,n4),
    inference(cnf_transformation,[],[f134]) ).

fof(f451,plain,
    spl5_18,
    inference(avatar_split_clause,[],[f186,f320]) ).

fof(f320,plain,
    ( spl5_18
  <=> use = a_select2(xinit_mean_defuse,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).

fof(f186,plain,
    use = a_select2(xinit_mean_defuse,n2),
    inference(cnf_transformation,[],[f134]) ).

fof(f450,plain,
    spl5_14,
    inference(avatar_split_clause,[],[f168,f304]) ).

fof(f304,plain,
    ( spl5_14
  <=> use = a_select2(xinit_defuse,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).

fof(f168,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f134]) ).

fof(f449,plain,
    spl5_24,
    inference(avatar_split_clause,[],[f169,f344]) ).

fof(f344,plain,
    ( spl5_24
  <=> use = a_select2(rho_defuse,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).

fof(f169,plain,
    use = a_select2(rho_defuse,n2),
    inference(cnf_transformation,[],[f134]) ).

fof(f448,plain,
    spl5_10,
    inference(avatar_split_clause,[],[f157,f288]) ).

fof(f288,plain,
    ( spl5_10
  <=> use = a_select3(u_defuse,n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).

fof(f157,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f134]) ).

fof(f447,plain,
    ( ~ spl5_14
    | ~ spl5_3
    | ~ spl5_23
    | ~ spl5_4
    | ~ spl5_15
    | ~ spl5_1
    | ~ spl5_13
    | ~ spl5_31
    | ~ spl5_10
    | ~ spl5_21
    | ~ spl5_26
    | spl5_42
    | ~ spl5_6
    | ~ spl5_25
    | ~ spl5_19
    | ~ spl5_8
    | ~ spl5_9
    | ~ spl5_11
    | ~ spl5_16
    | ~ spl5_22
    | ~ spl5_5
    | ~ spl5_29
    | ~ spl5_27
    | ~ spl5_24
    | spl5_7
    | ~ spl5_18
    | ~ spl5_12
    | ~ spl5_20
    | ~ spl5_30
    | ~ spl5_17
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f179,f256,f316,f368,f328,f296,f320,f276,f344,f356,f364,f268,f336,f312,f292,f284,f280,f324,f348,f272,f444,f352,f332,f288,f372,f300,f252,f308,f264,f340,f260,f304]) ).

fof(f260,plain,
    ( spl5_3
  <=> use = a_select2(sigma_defuse,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f340,plain,
    ( spl5_23
  <=> use = a_select2(xinit_noise_defuse,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).

fof(f264,plain,
    ( spl5_4
  <=> use = a_select2(xinit_mean_defuse,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f308,plain,
    ( spl5_15
  <=> use = a_select2(sigma_defuse,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).

fof(f300,plain,
    ( spl5_13
  <=> use = a_select2(xinit_noise_defuse,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).

fof(f372,plain,
    ( spl5_31
  <=> use = a_select3(u_defuse,n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).

fof(f352,plain,
    ( spl5_26
  <=> use = a_select2(xinit_noise_defuse,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).

fof(f272,plain,
    ( spl5_6
  <=> use = a_select2(xinit_defuse,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f348,plain,
    ( spl5_25
  <=> use = a_select2(xinit_noise_defuse,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).

fof(f324,plain,
    ( spl5_19
  <=> use = a_select2(xinit_mean_defuse,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).

fof(f284,plain,
    ( spl5_9
  <=> use = a_select2(rho_defuse,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).

fof(f292,plain,
    ( spl5_11
  <=> use = a_select2(xinit_mean_defuse,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).

fof(f336,plain,
    ( spl5_22
  <=> use = a_select2(xinit_noise_defuse,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).

fof(f364,plain,
    ( spl5_29
  <=> use = a_select2(sigma_defuse,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).

fof(f356,plain,
    ( spl5_27
  <=> use = a_select2(xinit_defuse,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).

fof(f276,plain,
    ( spl5_7
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

fof(f296,plain,
    ( spl5_12
  <=> use = a_select2(sigma_defuse,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).

fof(f328,plain,
    ( spl5_20
  <=> leq(n0,pv5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).

fof(f368,plain,
    ( spl5_30
  <=> use = a_select2(sigma_defuse,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).

fof(f316,plain,
    ( spl5_17
  <=> use = a_select2(xinit_mean_defuse,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).

fof(f179,plain,
    ( use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(sigma_defuse,n0)
    | ~ leq(n0,pv5)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n2)
    | sP0
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(sigma_defuse,n3)
    | ~ leq(pv5,minus(n999,n1))
    | use != a_select2(xinit_noise_defuse,n1)
    | use != a_select2(xinit_mean_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(rho_defuse,n1)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select2(xinit_mean_defuse,n3)
    | use != a_select2(xinit_noise_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | leq(sK3,n2)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(rho_defuse,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select2(xinit_noise_defuse,n5)
    | use != a_select2(sigma_defuse,n1)
    | use != a_select2(sigma_defuse,n2)
    | use != a_select2(xinit_mean_defuse,n1)
    | use != a_select2(xinit_noise_defuse,n2)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(xinit_defuse,n5) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f442,plain,
    spl5_17,
    inference(avatar_split_clause,[],[f170,f316]) ).

fof(f170,plain,
    use = a_select2(xinit_mean_defuse,n5),
    inference(cnf_transformation,[],[f134]) ).

fof(f441,plain,
    spl5_25,
    inference(avatar_split_clause,[],[f189,f348]) ).

fof(f189,plain,
    use = a_select2(xinit_noise_defuse,n3),
    inference(cnf_transformation,[],[f134]) ).

fof(f440,plain,
    spl5_9,
    inference(avatar_split_clause,[],[f185,f284]) ).

fof(f185,plain,
    use = a_select2(rho_defuse,n1),
    inference(cnf_transformation,[],[f134]) ).

fof(f439,plain,
    spl5_13,
    inference(avatar_split_clause,[],[f172,f300]) ).

fof(f172,plain,
    use = a_select2(xinit_noise_defuse,n5),
    inference(cnf_transformation,[],[f134]) ).

fof(f438,plain,
    spl5_22,
    inference(avatar_split_clause,[],[f184,f336]) ).

fof(f184,plain,
    use = a_select2(xinit_noise_defuse,n1),
    inference(cnf_transformation,[],[f134]) ).

fof(f437,plain,
    spl5_26,
    inference(avatar_split_clause,[],[f183,f352]) ).

fof(f183,plain,
    use = a_select2(xinit_noise_defuse,n0),
    inference(cnf_transformation,[],[f134]) ).

fof(f436,plain,
    spl5_12,
    inference(avatar_split_clause,[],[f180,f296]) ).

fof(f180,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f134]) ).

fof(f435,plain,
    ( ~ spl5_7
    | spl5_41 ),
    inference(avatar_split_clause,[],[f155,f432,f276]) ).

fof(f155,plain,
    ( leq(n0,sK2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ( leq(sK1,pv5)
      & leq(n0,sK2)
      & leq(n0,sK1)
      & leq(sK2,n2)
      & ( use != a_select3(z_defuse,sK2,sK1)
        | use != a_select3(u_defuse,sK2,sK1) ) )
    | ~ sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f129,f130]) ).

fof(f130,plain,
    ( ? [X0,X1] :
        ( leq(X0,pv5)
        & leq(n0,X1)
        & leq(n0,X0)
        & leq(X1,n2)
        & ( use != a_select3(z_defuse,X1,X0)
          | use != a_select3(u_defuse,X1,X0) ) )
   => ( leq(sK1,pv5)
      & leq(n0,sK2)
      & leq(n0,sK1)
      & leq(sK2,n2)
      & ( use != a_select3(z_defuse,sK2,sK1)
        | use != a_select3(u_defuse,sK2,sK1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ? [X0,X1] :
        ( leq(X0,pv5)
        & leq(n0,X1)
        & leq(n0,X0)
        & leq(X1,n2)
        & ( use != a_select3(z_defuse,X1,X0)
          | use != a_select3(u_defuse,X1,X0) ) )
    | ~ sP0 ),
    inference(rectify,[],[f128]) ).

fof(f128,plain,
    ( ? [X7,X6] :
        ( leq(X7,pv5)
        & leq(n0,X6)
        & leq(n0,X7)
        & leq(X6,n2)
        & ( use != a_select3(z_defuse,X6,X7)
          | use != a_select3(u_defuse,X6,X7) ) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f125]) ).

fof(f430,plain,
    ( ~ spl5_10
    | ~ spl5_19
    | ~ spl5_16
    | ~ spl5_17
    | ~ spl5_23
    | ~ spl5_8
    | spl5_40
    | ~ spl5_1
    | ~ spl5_29
    | ~ spl5_22
    | ~ spl5_4
    | ~ spl5_25
    | ~ spl5_15
    | ~ spl5_30
    | ~ spl5_13
    | ~ spl5_26
    | ~ spl5_31
    | ~ spl5_24
    | ~ spl5_11
    | ~ spl5_20
    | ~ spl5_21
    | ~ spl5_18
    | ~ spl5_5
    | ~ spl5_14
    | ~ spl5_6
    | ~ spl5_9
    | ~ spl5_2
    | ~ spl5_12
    | ~ spl5_27
    | ~ spl5_3
    | spl5_7 ),
    inference(avatar_split_clause,[],[f176,f276,f260,f356,f296,f256,f284,f272,f304,f268,f320,f332,f328,f292,f344,f372,f352,f300,f368,f308,f348,f264,f336,f364,f252,f427,f280,f340,f316,f312,f324,f288]) ).

fof(f176,plain,
    ( sP0
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(rho_defuse,n1)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | ~ leq(pv5,minus(n999,n1))
    | use != a_select2(xinit_mean_defuse,n2)
    | use != a_select2(rho_defuse,n0)
    | ~ leq(n0,pv5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(rho_defuse,n2)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n5)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n2)
    | use != a_select2(xinit_noise_defuse,n3)
    | use != a_select2(xinit_mean_defuse,n1)
    | use != a_select2(xinit_noise_defuse,n1)
    | use != a_select2(sigma_defuse,n3)
    | use != a_select2(sigma_defuse,n1)
    | leq(sK4,minus(pv5,n1))
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select2(xinit_noise_defuse,n2)
    | use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n3)
    | use != a_select3(u_defuse,n2,n0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f425,plain,
    ( spl5_39
    | ~ spl5_7 ),
    inference(avatar_split_clause,[],[f156,f276,f422]) ).

fof(f156,plain,
    ( ~ sP0
    | leq(sK1,pv5) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f420,plain,
    spl5_31,
    inference(avatar_split_clause,[],[f160,f372]) ).

fof(f160,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f134]) ).

fof(f419,plain,
    ( ~ spl5_7
    | ~ spl5_37
    | ~ spl5_38 ),
    inference(avatar_split_clause,[],[f152,f416,f412,f276]) ).

fof(f152,plain,
    ( use != a_select3(u_defuse,sK2,sK1)
    | use != a_select3(z_defuse,sK2,sK1)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f410,plain,
    spl5_15,
    inference(avatar_split_clause,[],[f161,f308]) ).

fof(f161,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f134]) ).

fof(f409,plain,
    spl5_23,
    inference(avatar_split_clause,[],[f174,f340]) ).

fof(f174,plain,
    use = a_select2(xinit_noise_defuse,n2),
    inference(cnf_transformation,[],[f134]) ).

fof(f408,plain,
    spl5_3,
    inference(avatar_split_clause,[],[f181,f260]) ).

fof(f181,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f134]) ).

fof(f407,plain,
    ( ~ spl5_7
    | spl5_36 ),
    inference(avatar_split_clause,[],[f153,f404,f276]) ).

fof(f153,plain,
    ( leq(sK2,n2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f402,plain,
    spl5_27,
    inference(avatar_split_clause,[],[f163,f356]) ).

fof(f163,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f134]) ).

fof(f401,plain,
    spl5_4,
    inference(avatar_split_clause,[],[f164,f264]) ).

fof(f164,plain,
    use = a_select2(xinit_mean_defuse,n1),
    inference(cnf_transformation,[],[f134]) ).

fof(f400,plain,
    spl5_20,
    inference(avatar_split_clause,[],[f171,f328]) ).

fof(f171,plain,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f134]) ).

fof(f399,plain,
    spl5_30,
    inference(avatar_split_clause,[],[f158,f368]) ).

fof(f158,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f134]) ).

fof(f398,plain,
    ( ~ spl5_12
    | ~ spl5_4
    | ~ spl5_30
    | ~ spl5_13
    | ~ spl5_23
    | ~ spl5_16
    | ~ spl5_31
    | ~ spl5_10
    | ~ spl5_1
    | ~ spl5_25
    | ~ spl5_29
    | ~ spl5_21
    | ~ spl5_26
    | ~ spl5_24
    | ~ spl5_27
    | ~ spl5_20
    | ~ spl5_6
    | spl5_7
    | ~ spl5_19
    | ~ spl5_2
    | ~ spl5_5
    | ~ spl5_11
    | ~ spl5_8
    | ~ spl5_14
    | ~ spl5_15
    | ~ spl5_3
    | ~ spl5_22
    | ~ spl5_34
    | ~ spl5_9
    | ~ spl5_18
    | ~ spl5_35
    | ~ spl5_17 ),
    inference(avatar_split_clause,[],[f178,f316,f395,f320,f284,f391,f336,f260,f308,f304,f280,f292,f268,f256,f324,f276,f272,f328,f356,f344,f352,f332,f364,f348,f252,f288,f372,f312,f340,f300,f368,f264,f296]) ).

fof(f178,plain,
    ( use != a_select2(xinit_mean_defuse,n5)
    | use != a_select3(u_defuse,sK3,sK4)
    | use != a_select2(xinit_mean_defuse,n2)
    | use != a_select2(rho_defuse,n1)
    | use != a_select3(z_defuse,sK3,sK4)
    | use != a_select2(xinit_noise_defuse,n1)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(sigma_defuse,n2)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select2(xinit_mean_defuse,n0)
    | ~ leq(pv5,minus(n999,n1))
    | use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n3)
    | sP0
    | use != a_select2(xinit_defuse,n4)
    | ~ leq(n0,pv5)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(rho_defuse,n0)
    | use != a_select2(sigma_defuse,n3)
    | use != a_select2(xinit_noise_defuse,n3)
    | use != a_select2(sigma_defuse,n1)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select2(xinit_mean_defuse,n4)
    | use != a_select2(xinit_noise_defuse,n2)
    | use != a_select2(xinit_noise_defuse,n5)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | use != a_select2(sigma_defuse,n5) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f389,plain,
    spl5_6,
    inference(avatar_split_clause,[],[f188,f272]) ).

fof(f188,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f134]) ).

fof(f388,plain,
    ( spl5_33
    | ~ spl5_7 ),
    inference(avatar_split_clause,[],[f154,f276,f385]) ).

fof(f154,plain,
    ( ~ sP0
    | leq(n0,sK1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f383,plain,
    spl5_29,
    inference(avatar_split_clause,[],[f187,f364]) ).

fof(f187,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f134]) ).

fof(f382,plain,
    spl5_19,
    inference(avatar_split_clause,[],[f173,f324]) ).

fof(f173,plain,
    use = a_select2(xinit_mean_defuse,n3),
    inference(cnf_transformation,[],[f134]) ).

fof(f381,plain,
    ( ~ spl5_15
    | ~ spl5_17
    | ~ spl5_21
    | ~ spl5_11
    | ~ spl5_29
    | ~ spl5_31
    | ~ spl5_23
    | ~ spl5_25
    | ~ spl5_19
    | ~ spl5_13
    | ~ spl5_24
    | ~ spl5_3
    | ~ spl5_8
    | spl5_32
    | ~ spl5_9
    | ~ spl5_14
    | ~ spl5_27
    | ~ spl5_20
    | ~ spl5_22
    | ~ spl5_30
    | ~ spl5_18
    | ~ spl5_6
    | ~ spl5_26
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_10
    | ~ spl5_5
    | spl5_7
    | ~ spl5_16
    | ~ spl5_12
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f177,f256,f296,f312,f276,f268,f288,f264,f252,f352,f272,f320,f368,f336,f328,f356,f304,f284,f378,f280,f260,f344,f300,f324,f348,f340,f372,f364,f292,f332,f316,f308]) ).

fof(f177,plain,
    ( use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n4)
    | sP0
    | ~ leq(pv5,minus(n999,n1))
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | use != a_select2(sigma_defuse,n1)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n2)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | ~ leq(n0,pv5)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(rho_defuse,n1)
    | leq(n0,sK4)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(xinit_noise_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n3)
    | use != a_select2(xinit_noise_defuse,n3)
    | use != a_select2(xinit_noise_defuse,n2)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select2(sigma_defuse,n3)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(rho_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(sigma_defuse,n2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f376,plain,
    spl5_11,
    inference(avatar_split_clause,[],[f165,f292]) ).

fof(f165,plain,
    use = a_select2(xinit_mean_defuse,n0),
    inference(cnf_transformation,[],[f134]) ).

fof(f375,plain,
    ( ~ spl5_1
    | ~ spl5_2
    | ~ spl5_3
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_6
    | spl5_7
    | ~ spl5_8
    | ~ spl5_9
    | ~ spl5_10
    | ~ spl5_11
    | ~ spl5_12
    | ~ spl5_13
    | ~ spl5_14
    | ~ spl5_15
    | ~ spl5_16
    | ~ spl5_17
    | ~ spl5_18
    | ~ spl5_19
    | ~ spl5_20
    | ~ spl5_21
    | ~ spl5_22
    | ~ spl5_23
    | ~ spl5_24
    | ~ spl5_25
    | ~ spl5_26
    | ~ spl5_27
    | spl5_28
    | ~ spl5_29
    | ~ spl5_30
    | ~ spl5_31 ),
    inference(avatar_split_clause,[],[f175,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328,f324,f320,f316,f312,f308,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268,f264,f260,f256,f252]) ).

fof(f175,plain,
    ( use != a_select3(u_defuse,n1,n0)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n3)
    | leq(n0,sK3)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n3)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(xinit_noise_defuse,n2)
    | use != a_select2(xinit_noise_defuse,n1)
    | use != a_select2(rho_defuse,n0)
    | ~ leq(n0,pv5)
    | use != a_select2(xinit_mean_defuse,n3)
    | use != a_select2(xinit_mean_defuse,n2)
    | use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n4)
    | use != a_select2(sigma_defuse,n2)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_noise_defuse,n5)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(rho_defuse,n1)
    | use != a_select3(u_defuse,n0,n0)
    | sP0
    | use != a_select2(xinit_defuse,n4)
    | ~ leq(pv5,minus(n999,n1))
    | use != a_select2(xinit_mean_defuse,n1)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(sigma_defuse,n1) ),
    inference(cnf_transformation,[],[f134]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWV097+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32  % Computer : n017.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 18:24:50 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.46  % (7149)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.48  % (7141)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48  % (7149)Instruction limit reached!
% 0.16/0.48  % (7149)------------------------------
% 0.16/0.48  % (7149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (7149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (7149)Termination reason: Unknown
% 0.16/0.48  % (7149)Termination phase: shuffling
% 0.16/0.48  
% 0.16/0.48  % (7149)Memory used [KB]: 1535
% 0.16/0.48  % (7149)Time elapsed: 0.004 s
% 0.16/0.48  % (7149)Instructions burned: 3 (million)
% 0.16/0.48  % (7149)------------------------------
% 0.16/0.48  % (7149)------------------------------
% 0.16/0.48  % (7150)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49  % (7142)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.49  % (7158)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.50  % (7157)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.16/0.50  % (7150)Instruction limit reached!
% 0.16/0.50  % (7150)------------------------------
% 0.16/0.50  % (7150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (7150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (7150)Termination reason: Unknown
% 0.16/0.50  % (7150)Termination phase: Property scanning
% 0.16/0.50  
% 0.16/0.50  % (7150)Memory used [KB]: 1663
% 0.16/0.50  % (7150)Time elapsed: 0.006 s
% 0.16/0.50  % (7150)Instructions burned: 7 (million)
% 0.16/0.50  % (7150)------------------------------
% 0.16/0.50  % (7150)------------------------------
% 0.16/0.50  % (7136)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.51  % (7148)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51  % (7147)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.51  % (7146)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.51  % (7135)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.16/0.52  % (7139)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.52  % (7141)First to succeed.
% 0.16/0.52  % (7145)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.16/0.52  % (7152)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.52  % (7138)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52  % (7140)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.16/0.52  % (7152)Instruction limit reached!
% 0.16/0.52  % (7152)------------------------------
% 0.16/0.52  % (7152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (7152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (7152)Termination reason: Unknown
% 0.16/0.52  % (7152)Termination phase: Preprocessing 3
% 0.16/0.52  
% 0.16/0.52  % (7152)Memory used [KB]: 1663
% 0.16/0.52  % (7152)Time elapsed: 0.004 s
% 0.16/0.52  % (7152)Instructions burned: 4 (million)
% 0.16/0.52  % (7152)------------------------------
% 0.16/0.52  % (7152)------------------------------
% 0.16/0.53  % (7141)Refutation found. Thanks to Tanya!
% 0.16/0.53  % SZS status Theorem for theBenchmark
% 0.16/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53  % (7141)------------------------------
% 0.16/0.53  % (7141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (7141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (7141)Termination reason: Refutation
% 0.16/0.53  
% 0.16/0.53  % (7141)Memory used [KB]: 6396
% 0.16/0.53  % (7141)Time elapsed: 0.129 s
% 0.16/0.53  % (7141)Instructions burned: 15 (million)
% 0.16/0.53  % (7141)------------------------------
% 0.16/0.53  % (7141)------------------------------
% 0.16/0.53  % (7134)Success in time 0.198 s
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