TSTP Solution File: SWV096+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV096+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 17:09:14 EDT 2024

% Result   : Theorem 3.57s 1.03s
% Output   : CNFRefutation 3.57s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% 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(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) )
   => ( ! [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(pv5,minus(n999,n1))
      & 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_0008) ).

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(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) )
     => ( ! [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(pv5,minus(n999,n1))
        & 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(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) )
     => ( ! [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(pv5,minus(n999,n1))
        & 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(pv5,minus(n999,n1))
      | ~ 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) )
    & ! [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) ),
    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(pv5,minus(n999,n1))
      | ~ 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) )
    & ! [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) ),
    inference(flattening,[],[f166]) ).

fof(f236,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(pv5,minus(n999,n1))
      | ~ 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) )
    & ! [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) ),
    inference(rectify,[],[f167]) ).

fof(f237,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,sK31,sK32)
        | use != a_select3(u_defuse,sK31,sK32) )
      & leq(sK32,minus(pv5,n1))
      & leq(sK31,n2)
      & leq(n0,sK32)
      & leq(n0,sK31) ) ),
    introduced(choice_axiom,[]) ).

fof(f238,plain,
    ( ( ( ( use != a_select3(z_defuse,sK31,sK32)
          | use != a_select3(u_defuse,sK31,sK32) )
        & leq(sK32,minus(pv5,n1))
        & leq(sK31,n2)
        & leq(n0,sK32)
        & leq(n0,sK31) )
      | ~ leq(pv5,minus(n999,n1))
      | ~ 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) )
    & ! [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) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f236,f237]) ).

fof(f349,plain,
    use = a_select2(rho_defuse,n0),
    inference(cnf_transformation,[],[f238]) ).

fof(f350,plain,
    use = a_select2(rho_defuse,n1),
    inference(cnf_transformation,[],[f238]) ).

fof(f351,plain,
    use = a_select2(rho_defuse,n2),
    inference(cnf_transformation,[],[f238]) ).

fof(f352,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f238]) ).

fof(f353,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f238]) ).

fof(f354,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f238]) ).

fof(f355,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f238]) ).

fof(f356,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f238]) ).

fof(f357,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f238]) ).

fof(f358,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f238]) ).

fof(f359,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f238]) ).

fof(f360,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f238]) ).

fof(f361,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f238]) ).

fof(f362,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f238]) ).

fof(f363,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f238]) ).

fof(f364,plain,
    use = a_select2(xinit_mean_defuse,n0),
    inference(cnf_transformation,[],[f238]) ).

fof(f365,plain,
    use = a_select2(xinit_mean_defuse,n1),
    inference(cnf_transformation,[],[f238]) ).

fof(f366,plain,
    use = a_select2(xinit_mean_defuse,n2),
    inference(cnf_transformation,[],[f238]) ).

fof(f367,plain,
    use = a_select2(xinit_mean_defuse,n3),
    inference(cnf_transformation,[],[f238]) ).

fof(f368,plain,
    use = a_select2(xinit_mean_defuse,n4),
    inference(cnf_transformation,[],[f238]) ).

fof(f369,plain,
    use = a_select2(xinit_mean_defuse,n5),
    inference(cnf_transformation,[],[f238]) ).

fof(f370,plain,
    use = a_select2(xinit_noise_defuse,n0),
    inference(cnf_transformation,[],[f238]) ).

fof(f371,plain,
    use = a_select2(xinit_noise_defuse,n1),
    inference(cnf_transformation,[],[f238]) ).

fof(f372,plain,
    use = a_select2(xinit_noise_defuse,n2),
    inference(cnf_transformation,[],[f238]) ).

fof(f373,plain,
    use = a_select2(xinit_noise_defuse,n3),
    inference(cnf_transformation,[],[f238]) ).

fof(f374,plain,
    use = a_select2(xinit_noise_defuse,n4),
    inference(cnf_transformation,[],[f238]) ).

fof(f375,plain,
    use = a_select2(xinit_noise_defuse,n5),
    inference(cnf_transformation,[],[f238]) ).

fof(f376,plain,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f238]) ).

fof(f378,plain,
    leq(pv5,minus(n999,n1)),
    inference(cnf_transformation,[],[f238]) ).

fof(f380,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,[],[f238]) ).

fof(f381,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,[],[f238]) ).

fof(f382,plain,
    ( leq(n0,sK31)
    | ~ leq(pv5,minus(n999,n1))
    | ~ 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(cnf_transformation,[],[f238]) ).

fof(f383,plain,
    ( leq(n0,sK32)
    | ~ leq(pv5,minus(n999,n1))
    | ~ 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(cnf_transformation,[],[f238]) ).

fof(f384,plain,
    ( leq(sK31,n2)
    | ~ leq(pv5,minus(n999,n1))
    | ~ 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(cnf_transformation,[],[f238]) ).

fof(f385,plain,
    ( leq(sK32,minus(pv5,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ 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(cnf_transformation,[],[f238]) ).

fof(f386,plain,
    ( use != a_select3(z_defuse,sK31,sK32)
    | use != a_select3(u_defuse,sK31,sK32)
    | ~ leq(pv5,minus(n999,n1))
    | ~ 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(cnf_transformation,[],[f238]) ).

cnf(c_157,negated_conjecture,
    ( a_select3(z_defuse,sK31,sK32) != 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,sK31,sK32) != 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(pv5,minus(n999,n1))
    | ~ leq(n0,pv5) ),
    inference(cnf_transformation,[],[f386]) ).

cnf(c_158,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(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | leq(sK32,minus(pv5,n1)) ),
    inference(cnf_transformation,[],[f385]) ).

cnf(c_159,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(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | leq(sK31,n2) ),
    inference(cnf_transformation,[],[f384]) ).

cnf(c_160,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(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | leq(n0,sK32) ),
    inference(cnf_transformation,[],[f383]) ).

cnf(c_161,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(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | leq(n0,sK31) ),
    inference(cnf_transformation,[],[f382]) ).

cnf(c_162,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,[],[f381]) ).

cnf(c_163,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,[],[f380]) ).

cnf(c_165,negated_conjecture,
    leq(pv5,minus(n999,n1)),
    inference(cnf_transformation,[],[f378]) ).

cnf(c_167,negated_conjecture,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f376]) ).

cnf(c_168,negated_conjecture,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(cnf_transformation,[],[f375]) ).

cnf(c_169,negated_conjecture,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(cnf_transformation,[],[f374]) ).

cnf(c_170,negated_conjecture,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(cnf_transformation,[],[f373]) ).

cnf(c_171,negated_conjecture,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(cnf_transformation,[],[f372]) ).

cnf(c_172,negated_conjecture,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(cnf_transformation,[],[f371]) ).

cnf(c_173,negated_conjecture,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(cnf_transformation,[],[f370]) ).

cnf(c_174,negated_conjecture,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(cnf_transformation,[],[f369]) ).

cnf(c_175,negated_conjecture,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(cnf_transformation,[],[f368]) ).

cnf(c_176,negated_conjecture,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(cnf_transformation,[],[f367]) ).

cnf(c_177,negated_conjecture,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(cnf_transformation,[],[f366]) ).

cnf(c_178,negated_conjecture,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(cnf_transformation,[],[f365]) ).

cnf(c_179,negated_conjecture,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(cnf_transformation,[],[f364]) ).

cnf(c_180,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(cnf_transformation,[],[f363]) ).

cnf(c_181,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(cnf_transformation,[],[f362]) ).

cnf(c_182,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(cnf_transformation,[],[f361]) ).

cnf(c_183,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[],[f360]) ).

cnf(c_184,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[],[f359]) ).

cnf(c_185,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[],[f358]) ).

cnf(c_186,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(cnf_transformation,[],[f357]) ).

cnf(c_187,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(cnf_transformation,[],[f356]) ).

cnf(c_188,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(cnf_transformation,[],[f355]) ).

cnf(c_189,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(cnf_transformation,[],[f354]) ).

cnf(c_190,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(cnf_transformation,[],[f353]) ).

cnf(c_191,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(cnf_transformation,[],[f352]) ).

cnf(c_192,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(cnf_transformation,[],[f351]) ).

cnf(c_193,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(cnf_transformation,[],[f350]) ).

cnf(c_194,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(cnf_transformation,[],[f349]) ).

cnf(c_335,negated_conjecture,
    leq(n0,sK31),
    inference(global_subsumption_just,[status(thm)],[c_161,c_167,c_165,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_185,c_184,c_183,c_161]) ).

cnf(c_337,negated_conjecture,
    leq(n0,sK32),
    inference(global_subsumption_just,[status(thm)],[c_160,c_167,c_165,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_185,c_184,c_183,c_160]) ).

cnf(c_339,negated_conjecture,
    leq(sK31,n2),
    inference(global_subsumption_just,[status(thm)],[c_159,c_167,c_165,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_185,c_184,c_183,c_159]) ).

cnf(c_341,negated_conjecture,
    leq(sK32,minus(pv5,n1)),
    inference(global_subsumption_just,[status(thm)],[c_158,c_167,c_165,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_185,c_184,c_183,c_158]) ).

cnf(c_343,negated_conjecture,
    ( a_select3(z_defuse,sK31,sK32) != use
    | a_select3(u_defuse,sK31,sK32) != use ),
    inference(global_subsumption_just,[status(thm)],[c_157,c_167,c_165,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_185,c_184,c_183,c_157]) ).

cnf(c_429,plain,
    ( a_select3(z_defuse,sK31,sK32) != use
    | a_select3(u_defuse,sK31,sK32) != use ),
    inference(prop_impl_just,[status(thm)],[c_343]) ).

cnf(c_6094,plain,
    minus(pv5,n1) = sP0_iProver_def,
    definition ).

cnf(c_6095,plain,
    a_select2(rho_defuse,n0) = sP1_iProver_def,
    definition ).

cnf(c_6124,negated_conjecture,
    leq(sK32,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_341,c_6094]) ).

cnf(c_6125,negated_conjecture,
    leq(sK31,n2),
    inference(demodulation,[status(thm)],[c_339]) ).

cnf(c_6126,negated_conjecture,
    leq(n0,sK32),
    inference(demodulation,[status(thm)],[c_337]) ).

cnf(c_6127,negated_conjecture,
    leq(n0,sK31),
    inference(demodulation,[status(thm)],[c_335]) ).

cnf(c_6128,negated_conjecture,
    sP1_iProver_def = use,
    inference(demodulation,[status(thm)],[c_194,c_6095]) ).

cnf(c_6159,negated_conjecture,
    ( ~ leq(X0,sP0_iProver_def)
    | ~ leq(X1,n2)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(u_defuse,X1,X0) = use ),
    inference(demodulation,[status(thm)],[c_163]) ).

cnf(c_6160,negated_conjecture,
    ( ~ leq(X0,sP0_iProver_def)
    | ~ leq(X1,n2)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(z_defuse,X1,X0) = use ),
    inference(demodulation,[status(thm)],[c_162]) ).

cnf(c_9568,plain,
    ( a_select3(z_defuse,sK31,sK32) != sP1_iProver_def
    | a_select3(u_defuse,sK31,sK32) != sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_429,c_6128]) ).

cnf(c_9597,plain,
    ( ~ leq(X0,sP0_iProver_def)
    | ~ leq(X1,n2)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(u_defuse,X1,X0) = sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6159,c_6128]) ).

cnf(c_9615,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | ~ leq(sK32,sP0_iProver_def)
    | a_select3(u_defuse,X0,sK32) = sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_6126,c_9597]) ).

cnf(c_9626,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | a_select3(u_defuse,X0,sK32) = sP1_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9615,c_6124]) ).

cnf(c_9643,plain,
    ( ~ leq(X0,sP0_iProver_def)
    | ~ leq(X1,n2)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(z_defuse,X1,X0) = sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6160,c_6128]) ).

cnf(c_9661,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | ~ leq(sK32,sP0_iProver_def)
    | a_select3(z_defuse,X0,sK32) = sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_6126,c_9643]) ).

cnf(c_9672,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | a_select3(z_defuse,X0,sK32) = sP1_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9661,c_6124]) ).

cnf(c_9698,plain,
    ( ~ leq(sK31,n2)
    | a_select3(u_defuse,sK31,sK32) = sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_6127,c_9626]) ).

cnf(c_9702,plain,
    a_select3(u_defuse,sK31,sK32) = sP1_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_9698,c_6125]) ).

cnf(c_9709,plain,
    a_select3(z_defuse,sK31,sK32) != sP1_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_9568,c_9702]) ).

cnf(c_9732,plain,
    ( ~ leq(sK31,n2)
    | a_select3(z_defuse,sK31,sK32) = sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_6127,c_9672]) ).

cnf(c_9736,plain,
    a_select3(z_defuse,sK31,sK32) = sP1_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_9732,c_6125]) ).

cnf(c_9743,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9736,c_9709]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWV096+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu Jun 20 15:43:54 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.40  Running first-order theorem proving
% 0.16/0.40  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
% 3.57/1.03  % SZS status Started for theBenchmark.p
% 3.57/1.03  % SZS status Theorem for theBenchmark.p
% 3.57/1.03  
% 3.57/1.03  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.57/1.03  
% 3.57/1.03  ------  iProver source info
% 3.57/1.03  
% 3.57/1.03  git: date: 2024-06-12 09:56:46 +0000
% 3.57/1.03  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.57/1.03  git: non_committed_changes: false
% 3.57/1.03  
% 3.57/1.03  ------ Parsing...
% 3.57/1.03  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.57/1.03  
% 3.57/1.03  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.57/1.03  
% 3.57/1.03  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.57/1.03  
% 3.57/1.03  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.57/1.03  ------ Proving...
% 3.57/1.03  ------ Problem Properties 
% 3.57/1.03  
% 3.57/1.03  
% 3.57/1.03  clauses                                 225
% 3.57/1.03  conjectures                             37
% 3.57/1.03  EPR                                     87
% 3.57/1.03  Horn                                    174
% 3.57/1.03  unary                                   127
% 3.57/1.03  binary                                  35
% 3.57/1.03  lits                                    581
% 3.57/1.03  lits eq                                 182
% 3.57/1.03  fd_pure                                 0
% 3.57/1.03  fd_pseudo                               0
% 3.57/1.03  fd_cond                                 7
% 3.57/1.03  fd_pseudo_cond                          4
% 3.57/1.03  AC symbols                              0
% 3.57/1.03  
% 3.57/1.03  ------ Schedule dynamic 5 is on 
% 3.57/1.03  
% 3.57/1.03  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.57/1.03  
% 3.57/1.03  
% 3.57/1.03  ------ 
% 3.57/1.03  Current options:
% 3.57/1.03  ------ 
% 3.57/1.03  
% 3.57/1.03  
% 3.57/1.03  
% 3.57/1.03  
% 3.57/1.03  ------ Proving...
% 3.57/1.03  
% 3.57/1.03  
% 3.57/1.03  % SZS status Theorem for theBenchmark.p
% 3.57/1.03  
% 3.57/1.03  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.57/1.03  
% 3.57/1.04  
%------------------------------------------------------------------------------