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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:08:06 PM UTC 2026

% Result   : Theorem 2.98s 1.11s
% Output   : Refutation 3.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  109 (  37 unt;   0 def)
%            Number of atoms       : 1179 (1072 equ)
%            Maximal formula atoms :   60 (  10 avg)
%            Number of connectives : 1930 ( 860   ~; 854   |; 209   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   56 (  11 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-3 aty)
%            Number of variables   :   30 (  26   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).

fof(f53,conjecture,
    ( ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = 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_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = 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_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = 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(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = 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_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = 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_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = 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
      & ! [X0,X1] :
          ( ( leq(n0,X0)
            & leq(n0,X1)
            & leq(X0,n2)
            & leq(X1,minus(n0,n1)) )
         => ( a_select3(u_defuse,X0,X1) = use
            & a_select3(z_defuse,X0,X1) = use ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).

fof(f54,negated_conjecture,
    ~ ( ( a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = 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_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = 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_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = 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(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = 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_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = 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_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = 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
        & ! [X0,X1] :
            ( ( leq(n0,X0)
              & leq(n0,X1)
              & leq(X0,n2)
              & leq(X1,minus(n0,n1)) )
           => ( a_select3(u_defuse,X0,X1) = use
              & a_select3(z_defuse,X0,X1) = use ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f78,axiom,
    ! [X0] :
      ( ( leq(n0,X0)
        & leq(X0,n0) )
     => X0 = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).

fof(f87,plain,
    ( ( use != a_select2(rho_defuse,n0)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(sigma_defuse,n1)
      | 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_select3(u_defuse,n0,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select2(xinit_defuse,n3)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n0)
      | use != a_select2(xinit_mean_defuse,n1)
      | 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_noise_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n1)
      | 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)
      | ? [X0,X1] :
          ( ( use != a_select3(u_defuse,X0,X1)
            | use != a_select3(z_defuse,X0,X1) )
          & leq(n0,X0)
          & leq(n0,X1)
          & leq(X0,n2)
          & leq(X1,minus(n0,n1)) ) )
    & a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = 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_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = 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_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = 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 ),
    inference(ennf_transformation,[],[f54]) ).

fof(f88,plain,
    ( ( use != a_select2(rho_defuse,n0)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(sigma_defuse,n1)
      | 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_select3(u_defuse,n0,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select2(xinit_defuse,n3)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n0)
      | use != a_select2(xinit_mean_defuse,n1)
      | 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_noise_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n1)
      | 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)
      | ? [X0,X1] :
          ( ( use != a_select3(u_defuse,X0,X1)
            | use != a_select3(z_defuse,X0,X1) )
          & leq(n0,X0)
          & leq(n0,X1)
          & leq(X0,n2)
          & leq(X1,minus(n0,n1)) ) )
    & a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = 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_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = 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_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = 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 ),
    inference(flattening,[],[f87]) ).

fof(f89,plain,
    ! [X0] :
      ( X0 = n0
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f90,plain,
    ! [X0] :
      ( X0 = n0
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(flattening,[],[f89]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f111,plain,
    ( ( use != a_select2(rho_defuse,n0)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(sigma_defuse,n1)
      | 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_select3(u_defuse,n0,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select2(xinit_defuse,n3)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n0)
      | use != a_select2(xinit_mean_defuse,n1)
      | 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_noise_defuse,n0)
      | use != a_select2(xinit_noise_defuse,n1)
      | 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_select3(u_defuse,sK0,sK1)
          | use != a_select3(z_defuse,sK0,sK1) )
        & leq(n0,sK0)
        & leq(n0,sK1)
        & leq(sK0,n2)
        & leq(sK1,minus(n0,n1)) ) )
    & a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = 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_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = 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_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = 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 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f88]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( leq(X0,pred(X1))
        | ~ gt(X1,X0) )
      & ( gt(X1,X0)
        | ~ leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f115,plain,
    use = a_select2(xinit_noise_defuse,n5),
    inference(cnf_transformation,[],[f111]) ).

fof(f116,plain,
    use = a_select2(xinit_noise_defuse,n4),
    inference(cnf_transformation,[],[f111]) ).

fof(f117,plain,
    use = a_select2(xinit_noise_defuse,n3),
    inference(cnf_transformation,[],[f111]) ).

fof(f118,plain,
    use = a_select2(xinit_noise_defuse,n2),
    inference(cnf_transformation,[],[f111]) ).

fof(f119,plain,
    use = a_select2(xinit_noise_defuse,n1),
    inference(cnf_transformation,[],[f111]) ).

fof(f120,plain,
    use = a_select2(xinit_noise_defuse,n0),
    inference(cnf_transformation,[],[f111]) ).

fof(f121,plain,
    use = a_select2(xinit_mean_defuse,n5),
    inference(cnf_transformation,[],[f111]) ).

fof(f122,plain,
    use = a_select2(xinit_mean_defuse,n4),
    inference(cnf_transformation,[],[f111]) ).

fof(f123,plain,
    use = a_select2(xinit_mean_defuse,n3),
    inference(cnf_transformation,[],[f111]) ).

fof(f124,plain,
    use = a_select2(xinit_mean_defuse,n2),
    inference(cnf_transformation,[],[f111]) ).

fof(f125,plain,
    use = a_select2(xinit_mean_defuse,n1),
    inference(cnf_transformation,[],[f111]) ).

fof(f126,plain,
    use = a_select2(xinit_mean_defuse,n0),
    inference(cnf_transformation,[],[f111]) ).

fof(f127,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f111]) ).

fof(f128,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f111]) ).

fof(f129,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f111]) ).

fof(f130,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f111]) ).

fof(f131,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f111]) ).

fof(f132,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f111]) ).

fof(f133,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f111]) ).

fof(f134,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f111]) ).

fof(f135,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f111]) ).

fof(f136,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f111]) ).

fof(f137,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f111]) ).

fof(f138,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f111]) ).

fof(f139,plain,
    use = a_select2(rho_defuse,n2),
    inference(cnf_transformation,[],[f111]) ).

fof(f140,plain,
    use = a_select2(rho_defuse,n1),
    inference(cnf_transformation,[],[f111]) ).

fof(f141,plain,
    use = a_select2(rho_defuse,n0),
    inference(cnf_transformation,[],[f111]) ).

fof(f142,plain,
    ( use != a_select2(rho_defuse,n0)
    | use != a_select2(rho_defuse,n1)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f144,plain,
    ( use != a_select2(rho_defuse,n0)
    | use != a_select2(rho_defuse,n1)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n0 = X0
      | ~ leq(X0,n0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f176,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f186,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(X0,pred(X1)) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ leq(X0,minus(X1,n1))
      | gt(X1,X0) ),
    inference(definition_unfolding,[],[f191,f176]) ).

fof(f457,plain,
    ( use != a_select2(rho_defuse,n1)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f144,f141]) ).

fof(f458,plain,
    ( use != a_select2(rho_defuse,n2)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f457,f140]) ).

fof(f459,plain,
    ( use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f458,f139]) ).

fof(f460,plain,
    ( use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f459,f138]) ).

fof(f461,plain,
    ( 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f460,f137]) ).

fof(f462,plain,
    ( use != a_select2(sigma_defuse,n3)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f461,f136]) ).

fof(f463,plain,
    ( use != a_select2(sigma_defuse,n4)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f462,f135]) ).

fof(f464,plain,
    ( use != a_select2(sigma_defuse,n5)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f463,f134]) ).

fof(f465,plain,
    ( use != a_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f464,f133]) ).

fof(f466,plain,
    ( use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f465,f132]) ).

fof(f467,plain,
    ( use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f466,f131]) ).

fof(f468,plain,
    ( use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f467,f130]) ).

fof(f469,plain,
    ( use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f468,f129]) ).

fof(f470,plain,
    ( use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f469,f128]) ).

fof(f471,plain,
    ( use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f470,f127]) ).

fof(f472,plain,
    ( use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f471,f126]) ).

fof(f473,plain,
    ( 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f472,f125]) ).

fof(f474,plain,
    ( 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f473,f124]) ).

fof(f475,plain,
    ( use != a_select2(xinit_mean_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f474,f123]) ).

fof(f476,plain,
    ( use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f475,f122]) ).

fof(f477,plain,
    ( use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f476,f121]) ).

fof(f478,plain,
    ( use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f477,f120]) ).

fof(f479,plain,
    ( 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)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f478,f119]) ).

fof(f480,plain,
    ( use != a_select2(xinit_noise_defuse,n3)
    | use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(xinit_noise_defuse,n5)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f479,f118]) ).

fof(f481,plain,
    ( use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(xinit_noise_defuse,n5)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f480,f117]) ).

fof(f482,plain,
    ( use != a_select2(xinit_noise_defuse,n5)
    | leq(n0,sK1) ),
    inference(forward_subsumption_resolution,[],[f481,f116]) ).

fof(f483,plain,
    leq(n0,sK1),
    inference(forward_subsumption_resolution,[],[f482,f115]) ).

fof(f485,plain,
    ( ~ leq(sK1,n0)
    | n0 = sK1 ),
    inference(resolution,[],[f483,f147]) ).

fof(f487,plain,
    ( n0 = sK1
    | ~ gt(n0,sK1) ),
    inference(resolution,[],[f485,f185]) ).

fof(f517,plain,
    ( use != a_select2(rho_defuse,n1)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f142,f141]) ).

fof(f518,plain,
    ( use != a_select2(rho_defuse,n2)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f517,f140]) ).

fof(f519,plain,
    ( use != a_select2(sigma_defuse,n0)
    | use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f518,f139]) ).

fof(f520,plain,
    ( use != a_select2(sigma_defuse,n1)
    | 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f519,f138]) ).

fof(f521,plain,
    ( 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_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f520,f137]) ).

fof(f522,plain,
    ( use != a_select2(sigma_defuse,n3)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f521,f136]) ).

fof(f523,plain,
    ( use != a_select2(sigma_defuse,n4)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f522,f135]) ).

fof(f524,plain,
    ( use != a_select2(sigma_defuse,n5)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f523,f134]) ).

fof(f525,plain,
    ( use != a_select3(u_defuse,n0,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f524,f133]) ).

fof(f526,plain,
    ( use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f525,f132]) ).

fof(f527,plain,
    ( use != a_select3(u_defuse,n2,n0)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f526,f131]) ).

fof(f528,plain,
    ( use != a_select2(xinit_defuse,n3)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f527,f130]) ).

fof(f529,plain,
    ( use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f528,f129]) ).

fof(f530,plain,
    ( use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f529,f128]) ).

fof(f531,plain,
    ( use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f530,f127]) ).

fof(f532,plain,
    ( use != a_select2(xinit_mean_defuse,n1)
    | 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f531,f126]) ).

fof(f533,plain,
    ( 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f532,f125]) ).

fof(f534,plain,
    ( 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_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f533,f124]) ).

fof(f535,plain,
    ( use != a_select2(xinit_mean_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f534,f123]) ).

fof(f536,plain,
    ( use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f535,f122]) ).

fof(f537,plain,
    ( use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f536,f121]) ).

fof(f538,plain,
    ( use != a_select2(xinit_noise_defuse,n1)
    | 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f537,f120]) ).

fof(f539,plain,
    ( 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)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f538,f119]) ).

fof(f540,plain,
    ( use != a_select2(xinit_noise_defuse,n3)
    | use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(xinit_noise_defuse,n5)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f539,f118]) ).

fof(f541,plain,
    ( use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(xinit_noise_defuse,n5)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f540,f117]) ).

fof(f542,plain,
    ( use != a_select2(xinit_noise_defuse,n5)
    | leq(sK1,minus(n0,n1)) ),
    inference(forward_subsumption_resolution,[],[f541,f116]) ).

fof(f543,plain,
    leq(sK1,minus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f542,f115]) ).

fof(f544,plain,
    gt(n0,sK1),
    inference(resolution,[],[f543,f196]) ).

fof(f574,plain,
    n0 = sK1,
    inference(forward_subsumption_resolution,[],[f487,f544]) ).

fof(f598,plain,
    gt(sK1,sK1),
    inference(superposition,[],[f544,f574]) ).

fof(f599,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f598,f186]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n007.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 09:50:55 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.98/1.11  % (2289201)Detected formulas, will run a generic FOF schedule.
% 2.98/1.11  % (2289209)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4249330164:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.98/1.11  % (2289209)Instruction limit reached! 
% 2.98/1.11  % (2289209)------------------------------
% 2.98/1.11  % (2289209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.11  % (2289209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.11  % (2289209)CaDiCaL version: 2.1.3
% 2.98/1.11  % (2289209)Termination reason: Instruction limit
% 2.98/1.11  % (2289209)Termination phase: Saturation
% 2.98/1.11  % (2289209)Time elapsed: 0.030 s
% 2.98/1.11  % (2289209)Peak memory usage: 89 MB
% 2.98/1.11  % (2289209)Instructions burned: 111 (million)
% 2.98/1.11  % (2289207)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3808590509:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.98/1.11  % (2289211)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3682310827:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.98/1.11  % (2289208)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4196054951:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.98/1.11  % (2289210)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=575798350:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.98/1.11  % (2289206)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3194066703:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.98/1.11  % (2289212)dis-21_1_sil=8000:lcm=predicate:random_seed=3907953259:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.98/1.11  % (2289210)First to succeed.
% 2.98/1.11  % (2289211)Also succeeded, but the first one will report.
% 2.98/1.11  % (2289210)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2289201"
% 2.98/1.11  % (2289212)Instruction limit reached! 
% 2.98/1.11  % (2289212)------------------------------
% 2.98/1.11  % (2289212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.11  % (2289212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.11  % (2289212)CaDiCaL version: 2.1.3
% 2.98/1.11  % (2289212)Termination reason: Instruction limit
% 2.98/1.11  % (2289212)Termination phase: Saturation
% 2.98/1.11  % (2289212)Time elapsed: 0.071 s
% 2.98/1.11  % (2289212)Peak memory usage: 88 MB
% 2.98/1.11  % (2289212)Instructions burned: 131 (million)
% 2.98/1.11  % (2289214)lrs+10_1_sil=8000:sp=occurrence:random_seed=2341383950:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.98/1.11  % (2289214)Also succeeded, but the first one will report.
% 2.98/1.11  % (2289221)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3492124667:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.98/1.11  % (2289210)Refutation found. Thanks to Tanya!
% 2.98/1.11  % SZS status Theorem for theBenchmark
% 2.98/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.31  % (2289210)------------------------------
% 3.83/1.31  % (2289210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.31  % (2289210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.31  % (2289210)CaDiCaL version: 2.1.3
% 3.83/1.31  % (2289210)Termination reason: Refutation
% 3.83/1.31  % (2289210)Time elapsed: 0.020 s
% 3.83/1.31  % (2289210)Peak memory usage: 88 MB
% 3.83/1.31  % (2289210)Instructions burned: 40 (million)
% 3.83/1.32  % (2289210)------------------------------
% 3.83/1.32  % (2289210)------------------------------
% 3.83/1.32  % (2289201)Success in time 0.447 s
% 3.83/1.32  % Vampire exiting
%------------------------------------------------------------------------------