TSTP Solution File: SWV094+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV094+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 : Fri May  3 03:13:29 EDT 2024

% Result   : Theorem 12.25s 2.69s
% Output   : CNFRefutation 12.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  128 (  66 unt;   0 def)
%            Number of atoms       : 1811 (1372 equ)
%            Maximal formula atoms :  115 (  14 avg)
%            Number of connectives : 2786 (1103   ~;1093   |; 570   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  23 con; 0-3 aty)
%            Number of variables   :   64 (   0 sgn  32   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(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/benchmark/theBenchmark.p',quaternion_ds1_inuse_0006) ).

fof(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]) ).

fof(f124,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]) ).

fof(f166,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,[],[f124]) ).

fof(f167,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,[],[f166]) ).

fof(f189,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 )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f190,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 )
      | sP4 )
    & ! [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,[],[f167,f189]) ).

fof(f238,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 )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f189]) ).

fof(f239,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 )
    | ~ sP4 ),
    inference(rectify,[],[f238]) ).

fof(f240,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,sK32,sK33)
        | use != a_select3(u_defuse,sK32,sK33) )
      & leq(sK33,minus(pv5,n1))
      & leq(sK32,n2)
      & leq(n0,sK33)
      & leq(n0,sK32) ) ),
    introduced(choice_axiom,[]) ).

fof(f241,plain,
    ( ( ( ( ( use != a_select3(z_defuse,sK32,sK33)
            | use != a_select3(u_defuse,sK32,sK33) )
          & leq(sK33,minus(pv5,n1))
          & leq(sK32,n2)
          & leq(n0,sK33)
          & leq(n0,sK32) )
        | ~ 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 )
    | ~ sP4 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f239,f240]) ).

fof(f242,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 )
      | sP4 )
    & ! [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,[],[f190]) ).

fof(f243,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,sK34,sK35)
        | use != a_select3(u_defuse,sK34,sK35) )
      & leq(sK35,minus(pv5,n1))
      & leq(sK34,n2)
      & leq(n0,sK35)
      & leq(n0,sK34) ) ),
    introduced(choice_axiom,[]) ).

fof(f244,plain,
    ( ( ( ( ( ( use != a_select3(z_defuse,sK34,sK35)
              | use != a_select3(u_defuse,sK34,sK35) )
            & leq(sK35,minus(pv5,n1))
            & leq(sK34,n2)
            & leq(n0,sK35)
            & leq(n0,sK34) )
          | ~ 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 )
      | sP4 )
    & ! [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,[sK34,sK35])],[f242,f243]) ).

fof(f356,plain,
    ( leq(n0,sK32)
    | ~ 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)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f241]) ).

fof(f357,plain,
    ( leq(n0,sK33)
    | ~ 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)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f241]) ).

fof(f358,plain,
    ( leq(sK32,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)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f241]) ).

fof(f359,plain,
    ( leq(sK33,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)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f241]) ).

fof(f360,plain,
    ( use != a_select3(z_defuse,sK32,sK33)
    | use != a_select3(u_defuse,sK32,sK33)
    | ~ 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)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f241]) ).

fof(f361,plain,
    use = a_select2(rho_defuse,n0),
    inference(cnf_transformation,[],[f244]) ).

fof(f362,plain,
    use = a_select2(rho_defuse,n1),
    inference(cnf_transformation,[],[f244]) ).

fof(f363,plain,
    use = a_select2(rho_defuse,n2),
    inference(cnf_transformation,[],[f244]) ).

fof(f364,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f244]) ).

fof(f365,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f244]) ).

fof(f366,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f244]) ).

fof(f367,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f244]) ).

fof(f368,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f244]) ).

fof(f369,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f244]) ).

fof(f370,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f244]) ).

fof(f371,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f244]) ).

fof(f372,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f244]) ).

fof(f373,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f244]) ).

fof(f374,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f244]) ).

fof(f375,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f244]) ).

fof(f376,plain,
    use = a_select2(xinit_mean_defuse,n0),
    inference(cnf_transformation,[],[f244]) ).

fof(f377,plain,
    use = a_select2(xinit_mean_defuse,n1),
    inference(cnf_transformation,[],[f244]) ).

fof(f378,plain,
    use = a_select2(xinit_mean_defuse,n2),
    inference(cnf_transformation,[],[f244]) ).

fof(f379,plain,
    use = a_select2(xinit_mean_defuse,n3),
    inference(cnf_transformation,[],[f244]) ).

fof(f380,plain,
    use = a_select2(xinit_mean_defuse,n4),
    inference(cnf_transformation,[],[f244]) ).

fof(f381,plain,
    use = a_select2(xinit_mean_defuse,n5),
    inference(cnf_transformation,[],[f244]) ).

fof(f382,plain,
    use = a_select2(xinit_noise_defuse,n0),
    inference(cnf_transformation,[],[f244]) ).

fof(f383,plain,
    use = a_select2(xinit_noise_defuse,n1),
    inference(cnf_transformation,[],[f244]) ).

fof(f384,plain,
    use = a_select2(xinit_noise_defuse,n2),
    inference(cnf_transformation,[],[f244]) ).

fof(f385,plain,
    use = a_select2(xinit_noise_defuse,n3),
    inference(cnf_transformation,[],[f244]) ).

fof(f386,plain,
    use = a_select2(xinit_noise_defuse,n4),
    inference(cnf_transformation,[],[f244]) ).

fof(f387,plain,
    use = a_select2(xinit_noise_defuse,n5),
    inference(cnf_transformation,[],[f244]) ).

fof(f388,plain,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f244]) ).

fof(f389,plain,
    leq(n0,pv51),
    inference(cnf_transformation,[],[f244]) ).

fof(f391,plain,
    leq(pv5,minus(n999,n1)),
    inference(cnf_transformation,[],[f244]) ).

fof(f392,plain,
    leq(pv51,minus(n6,n1)),
    inference(cnf_transformation,[],[f244]) ).

fof(f394,plain,
    ! [X2,X3] :
      ( use = a_select3(u_defuse,X2,X3)
      | ~ leq(X3,minus(pv5,n1))
      | ~ leq(X2,n2)
      | ~ leq(n0,X3)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f395,plain,
    ! [X2,X3] :
      ( use = a_select3(z_defuse,X2,X3)
      | ~ leq(X3,minus(pv5,n1))
      | ~ leq(X2,n2)
      | ~ leq(n0,X3)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f396,plain,
    ( pv51 = pv52
    | sP4 ),
    inference(cnf_transformation,[],[f244]) ).

fof(f397,plain,
    ( leq(n0,sK34)
    | ~ 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)
    | sP4 ),
    inference(cnf_transformation,[],[f244]) ).

fof(f398,plain,
    ( leq(n0,sK35)
    | ~ 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)
    | sP4 ),
    inference(cnf_transformation,[],[f244]) ).

fof(f399,plain,
    ( leq(sK34,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)
    | sP4 ),
    inference(cnf_transformation,[],[f244]) ).

fof(f400,plain,
    ( leq(sK35,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)
    | sP4 ),
    inference(cnf_transformation,[],[f244]) ).

fof(f401,plain,
    ( use != a_select3(z_defuse,sK34,sK35)
    | use != a_select3(u_defuse,sK34,sK35)
    | ~ 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)
    | sP4 ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_157,plain,
    ( a_select3(z_defuse,sK32,sK33) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,sK32,sK33) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f360]) ).

cnf(c_158,plain,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sP4
    | leq(sK33,minus(pv5,n1)) ),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_159,plain,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sP4
    | leq(sK32,n2) ),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_160,plain,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sP4
    | leq(n0,sK33) ),
    inference(cnf_transformation,[],[f357]) ).

cnf(c_161,plain,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | ~ sP4
    | leq(n0,sK32) ),
    inference(cnf_transformation,[],[f356]) ).

cnf(c_163,negated_conjecture,
    ( a_select3(z_defuse,sK34,sK35) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,sK34,sK35) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | sP4 ),
    inference(cnf_transformation,[],[f401]) ).

cnf(c_164,negated_conjecture,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | leq(sK35,minus(pv5,n1))
    | sP4 ),
    inference(cnf_transformation,[],[f400]) ).

cnf(c_165,negated_conjecture,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | leq(sK34,n2)
    | sP4 ),
    inference(cnf_transformation,[],[f399]) ).

cnf(c_166,negated_conjecture,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | leq(n0,sK35)
    | sP4 ),
    inference(cnf_transformation,[],[f398]) ).

cnf(c_167,negated_conjecture,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | leq(n0,sK34)
    | sP4 ),
    inference(cnf_transformation,[],[f397]) ).

cnf(c_168,negated_conjecture,
    ( pv51 = pv52
    | sP4 ),
    inference(cnf_transformation,[],[f396]) ).

cnf(c_169,negated_conjecture,
    ( ~ leq(X0,minus(pv5,n1))
    | ~ leq(X1,n2)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(z_defuse,X1,X0) = use ),
    inference(cnf_transformation,[],[f395]) ).

cnf(c_170,negated_conjecture,
    ( ~ leq(X0,minus(pv5,n1))
    | ~ leq(X1,n2)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(u_defuse,X1,X0) = use ),
    inference(cnf_transformation,[],[f394]) ).

cnf(c_172,negated_conjecture,
    leq(pv51,minus(n6,n1)),
    inference(cnf_transformation,[],[f392]) ).

cnf(c_173,negated_conjecture,
    leq(pv5,minus(n999,n1)),
    inference(cnf_transformation,[],[f391]) ).

cnf(c_175,negated_conjecture,
    leq(n0,pv51),
    inference(cnf_transformation,[],[f389]) ).

cnf(c_176,negated_conjecture,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f388]) ).

cnf(c_177,negated_conjecture,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(cnf_transformation,[],[f387]) ).

cnf(c_178,negated_conjecture,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(cnf_transformation,[],[f386]) ).

cnf(c_179,negated_conjecture,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(cnf_transformation,[],[f385]) ).

cnf(c_180,negated_conjecture,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(cnf_transformation,[],[f384]) ).

cnf(c_181,negated_conjecture,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(cnf_transformation,[],[f383]) ).

cnf(c_182,negated_conjecture,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(cnf_transformation,[],[f382]) ).

cnf(c_183,negated_conjecture,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(cnf_transformation,[],[f381]) ).

cnf(c_184,negated_conjecture,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(cnf_transformation,[],[f380]) ).

cnf(c_185,negated_conjecture,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(cnf_transformation,[],[f379]) ).

cnf(c_186,negated_conjecture,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(cnf_transformation,[],[f378]) ).

cnf(c_187,negated_conjecture,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(cnf_transformation,[],[f377]) ).

cnf(c_188,negated_conjecture,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(cnf_transformation,[],[f376]) ).

cnf(c_189,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(cnf_transformation,[],[f375]) ).

cnf(c_190,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(cnf_transformation,[],[f374]) ).

cnf(c_191,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(cnf_transformation,[],[f373]) ).

cnf(c_192,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[],[f372]) ).

cnf(c_193,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[],[f371]) ).

cnf(c_194,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[],[f370]) ).

cnf(c_195,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(cnf_transformation,[],[f369]) ).

cnf(c_196,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(cnf_transformation,[],[f368]) ).

cnf(c_197,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(cnf_transformation,[],[f367]) ).

cnf(c_198,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(cnf_transformation,[],[f366]) ).

cnf(c_199,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(cnf_transformation,[],[f365]) ).

cnf(c_200,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(cnf_transformation,[],[f364]) ).

cnf(c_201,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(cnf_transformation,[],[f363]) ).

cnf(c_202,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(cnf_transformation,[],[f362]) ).

cnf(c_203,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(cnf_transformation,[],[f361]) ).

cnf(c_352,negated_conjecture,
    ( leq(n0,sK34)
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_167,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_167]) ).

cnf(c_354,negated_conjecture,
    ( leq(n0,sK35)
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_166,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_166]) ).

cnf(c_356,negated_conjecture,
    ( leq(sK34,n2)
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_165,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_165]) ).

cnf(c_358,plain,
    ( ~ sP4
    | leq(n0,sK32) ),
    inference(global_subsumption_just,[status(thm)],[c_161,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_161]) ).

cnf(c_360,plain,
    ( ~ sP4
    | leq(n0,sK33) ),
    inference(global_subsumption_just,[status(thm)],[c_160,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_160]) ).

cnf(c_362,plain,
    ( ~ sP4
    | leq(sK32,n2) ),
    inference(global_subsumption_just,[status(thm)],[c_159,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_159]) ).

cnf(c_364,negated_conjecture,
    ( leq(sK35,minus(pv5,n1))
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_164,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_164]) ).

cnf(c_366,plain,
    ( ~ sP4
    | leq(sK33,minus(pv5,n1)) ),
    inference(global_subsumption_just,[status(thm)],[c_158,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_158]) ).

cnf(c_368,negated_conjecture,
    ( a_select3(z_defuse,sK34,sK35) != use
    | a_select3(u_defuse,sK34,sK35) != use
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_163,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_163]) ).

cnf(c_370,plain,
    ( a_select3(z_defuse,sK32,sK33) != use
    | a_select3(u_defuse,sK32,sK33) != use
    | ~ sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_157,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_157]) ).

cnf(c_460,plain,
    ( ~ sP4
    | leq(sK33,minus(pv5,n1)) ),
    inference(prop_impl_just,[status(thm)],[c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_158]) ).

cnf(c_466,plain,
    ( ~ sP4
    | leq(n0,sK32) ),
    inference(prop_impl_just,[status(thm)],[c_358]) ).

cnf(c_9131,plain,
    ( ~ leq(X0,minus(pv5,n1))
    | ~ leq(n0,X0)
    | ~ leq(n0,sK34)
    | ~ leq(sK34,n2)
    | a_select3(z_defuse,sK34,X0) = use ),
    inference(instantiation,[status(thm)],[c_169]) ).

cnf(c_9184,plain,
    ( ~ leq(X0,minus(pv5,n1))
    | ~ leq(n0,X0)
    | ~ leq(n0,sK32)
    | ~ leq(sK32,n2)
    | a_select3(u_defuse,sK32,X0) = use ),
    inference(instantiation,[status(thm)],[c_170]) ).

cnf(c_9188,plain,
    ( ~ leq(X0,minus(pv5,n1))
    | ~ leq(n0,X0)
    | ~ leq(n0,sK34)
    | ~ leq(sK34,n2)
    | a_select3(u_defuse,sK34,X0) = use ),
    inference(instantiation,[status(thm)],[c_170]) ).

cnf(c_9321,plain,
    ( ~ leq(sK35,minus(pv5,n1))
    | ~ leq(n0,sK34)
    | ~ leq(n0,sK35)
    | ~ leq(sK34,n2)
    | a_select3(z_defuse,sK34,sK35) = use ),
    inference(instantiation,[status(thm)],[c_9131]) ).

cnf(c_9412,plain,
    ( ~ leq(sK33,minus(pv5,n1))
    | ~ leq(n0,sK32)
    | ~ leq(n0,sK33)
    | ~ leq(sK32,n2)
    | a_select3(u_defuse,sK32,sK33) = use ),
    inference(instantiation,[status(thm)],[c_9184]) ).

cnf(c_10697,plain,
    ( ~ leq(sK35,minus(pv5,n1))
    | ~ leq(n0,sK34)
    | ~ leq(n0,sK35)
    | ~ leq(sK34,n2)
    | a_select3(u_defuse,sK34,sK35) = use ),
    inference(instantiation,[status(thm)],[c_9188]) ).

cnf(c_11447,negated_conjecture,
    sP4,
    inference(global_subsumption_just,[status(thm)],[c_168,c_352,c_354,c_356,c_364,c_368,c_9321,c_10697]) ).

cnf(c_11614,plain,
    leq(n0,sK32),
    inference(global_subsumption_just,[status(thm)],[c_466,c_358,c_11447]) ).

cnf(c_12171,plain,
    leq(sK33,minus(pv5,n1)),
    inference(global_subsumption_just,[status(thm)],[c_460,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_158,c_352,c_354,c_356,c_364,c_368,c_9321,c_10697]) ).

cnf(c_12174,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | ~ leq(n0,sK33)
    | a_select3(z_defuse,X0,sK33) = use ),
    inference(superposition,[status(thm)],[c_12171,c_169]) ).

cnf(c_12313,plain,
    ( ~ leq(n0,X0)
    | ~ leq(X0,n2)
    | a_select3(z_defuse,X0,sK33) = use ),
    inference(global_subsumption_just,[status(thm)],[c_12174,c_176,c_175,c_173,c_172,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_194,c_193,c_192,c_160,c_352,c_354,c_356,c_364,c_368,c_9321,c_10697,c_12174]) ).

cnf(c_12314,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | a_select3(z_defuse,X0,sK33) = use ),
    inference(renaming,[status(thm)],[c_12313]) ).

cnf(c_12320,plain,
    ( ~ leq(sK32,n2)
    | a_select3(z_defuse,sK32,sK33) = use ),
    inference(superposition,[status(thm)],[c_11614,c_12314]) ).

cnf(c_12324,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_12320,c_11447,c_9412,c_370,c_366,c_362,c_360,c_358]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV094+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 00:23:29 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.25/2.69  % SZS status Started for theBenchmark.p
% 12.25/2.69  % SZS status Theorem for theBenchmark.p
% 12.25/2.69  
% 12.25/2.69  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.25/2.69  
% 12.25/2.69  ------  iProver source info
% 12.25/2.69  
% 12.25/2.69  git: date: 2024-05-02 19:28:25 +0000
% 12.25/2.69  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.25/2.69  git: non_committed_changes: false
% 12.25/2.69  
% 12.25/2.69  ------ Parsing...
% 12.25/2.69  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 12.25/2.69  
% 12.25/2.69  ------ Preprocessing... sup_sim: 14  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 12.25/2.69  
% 12.25/2.69  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.25/2.69  
% 12.25/2.69  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 12.25/2.69  ------ Proving...
% 12.25/2.69  ------ Problem Properties 
% 12.25/2.69  
% 12.25/2.69  
% 12.25/2.69  clauses                                 204
% 12.25/2.69  conjectures                             37
% 12.25/2.69  EPR                                     63
% 12.25/2.69  Horn                                    148
% 12.25/2.69  unary                                   95
% 12.25/2.69  binary                                  44
% 12.25/2.69  lits                                    573
% 12.25/2.69  lits eq                                 156
% 12.25/2.69  fd_pure                                 0
% 12.25/2.69  fd_pseudo                               0
% 12.25/2.69  fd_cond                                 7
% 12.25/2.69  fd_pseudo_cond                          4
% 12.25/2.69  AC symbols                              0
% 12.25/2.69  
% 12.25/2.69  ------ Input Options Time Limit: Unbounded
% 12.25/2.69  
% 12.25/2.69  
% 12.25/2.69  ------ 
% 12.25/2.69  Current options:
% 12.25/2.69  ------ 
% 12.25/2.69  
% 12.25/2.69  
% 12.25/2.69  
% 12.25/2.69  
% 12.25/2.69  ------ Proving...
% 12.25/2.69  
% 12.25/2.69  
% 12.25/2.69  % SZS status Theorem for theBenchmark.p
% 12.25/2.69  
% 12.25/2.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.25/2.69  
% 12.25/2.69  
%------------------------------------------------------------------------------