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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 : Sun Sep 27 09:06:47 AM UTC 2026

% Result   : Theorem 7.97s 2.69s
% Output   : CNFRefutation 7.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   66
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  168 (  46 unt;   0 def)
%            Number of atoms       : 2822 (2668 equ)
%            Maximal formula atoms :  168 (  16 avg)
%            Number of connectives : 5099 (2445   ~;2439   |; 208   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   63 (  17 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  17 con; 0-3 aty)
%            Number of variables   :   22 (   0 sgn  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(irreflexivity_gt,axiom,
    ! [X] : ~ gt(X,X),
    file('theBenchmark.p',irreflexivity_gt) ).

fof(leq_succ,axiom,
    ! [X,Y] :
      ( leq(X,Y)
     => leq(X,succ(Y)) ),
    file('theBenchmark.p',leq_succ) ).

fof(leq_succ_gt_equiv,axiom,
    ! [X,Y] :
      ( leq(X,Y)
    <=> gt(succ(Y),X) ),
    file('theBenchmark.p',leq_succ_gt_equiv) ).

fof(pred_minus_1,axiom,
    ! [X] : minus(X,n1) = pred(X),
    file('theBenchmark.p',pred_minus_1) ).

fof(pred_succ,axiom,
    ! [X] : pred(succ(X)) = X,
    file('theBenchmark.p',pred_succ) ).

fof(finite_domain_0,axiom,
    ! [X] :
      ( ( leq(X,n0)
        & leq(n0,X) )
     => X = n0 ),
    file('theBenchmark.p',finite_domain_0) ).

fof(quaternion_ds1_inuse_0004,conjecture,
    ( ( 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) = use )
   => ( ! [A,B] :
          ( ( leq(B,minus(n0,n1))
            & leq(A,n2)
            & leq(n0,B)
            & leq(n0,A) )
         => ( a_select3(z_defuse,A,B) = use
            & a_select3(u_defuse,A,B) = 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) = use ) ),
    file('theBenchmark.p',quaternion_ds1_inuse_0004) ).

fof(quaternion_ds1_inuse_0004_neg,negated_conjecture,
    ~ ( ( 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) = use )
     => ( ! [A,B] :
            ( ( leq(B,minus(n0,n1))
              & leq(A,n2)
              & leq(n0,B)
              & leq(n0,A) )
           => ( a_select3(z_defuse,A,B) = use
              & a_select3(u_defuse,A,B) = 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) = use ) ),
    inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0004]) ).

cnf(c_63,plain,
    ~ gt(A,A),
    inference(clausify,[status(thm)],[irreflexivity_gt]) ).

cnf(c_71,plain,
    ( leq(A,succ(B))
    | ~ leq(A,B) ),
    inference(clausify,[status(thm)],[leq_succ]) ).

cnf(c_72,plain,
    ( gt(succ(B),A)
    | ~ leq(A,B) ),
    inference(clausify,[status(thm)],[leq_succ_gt_equiv]) ).

fof(succ_tptp_minus_1,axiom,
    succ(tptp_minus_1) = n0,
    file('theBenchmark.p',succ_tptp_minus_1) ).

cnf(c_281,plain,
    succ(tptp_minus_1) = n0,
    inference(clausify,[status(thm)],[succ_tptp_minus_1]) ).

cnf(c_300,plain,
    minus(A,n1) = pred(A),
    inference(clausify,[status(thm)],[pred_minus_1]) ).

cnf(c_301,plain,
    pred(succ(A)) = A,
    inference(clausify,[status(thm)],[pred_succ]) ).

cnf(c_344,plain,
    ( n0 = A
    | ~ leq(A,n0)
    | ~ leq(n0,A) ),
    inference(clausify,[status(thm)],[finite_domain_0]) ).

fof(nnf_56,plain,
    ( ( ? [A,B] :
          ( ( a_select3(z_defuse,A,B) != use
            | a_select3(u_defuse,A,B) != use )
          & leq(B,minus(n0,n1))
          & leq(A,n2)
          & leq(n0,B)
          & leq(n0,A) )
      | 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) != 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) = use ),
    inference(fof_nnf,[status(thm)],[quaternion_ds1_inuse_0004_neg]) ).

fof(sk_quaternion_ds1_inuse_0004_neg_sk,plain,
    ( ( ( ( a_select3(z_defuse,sK1,sK0) != use
          | a_select3(u_defuse,sK1,sK0) != use )
        & leq(sK0,minus(n0,n1))
        & leq(sK1,n2)
        & leq(n0,sK0)
        & leq(n0,sK1) )
      | 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) != 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) = use ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK0]),skolemize(A,sK1),skolemize(B,sK0)],[nnf_56]) ).

fof(sk_quaternion_ds1_inuse_0004_neg,plain,
    ( ( a_select3(z_defuse,sK1,sK0) != use
      | a_select3(u_defuse,sK1,sK0) != 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) != use )
    & ( leq(sK0,minus(n0,n1))
      | 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) != use )
    & ( leq(sK1,n2)
      | 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) != use )
    & ( leq(n0,sK0)
      | 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) != use )
    & ( leq(n0,sK1)
      | 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) != 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) = use ),
    inference(cnf_transformation,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg_sk]) ).

cnf(c_357,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_358,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_359,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_360,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_361,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_362,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_363,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_364,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_365,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_366,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_367,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_368,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_369,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_370,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_371,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_372,negated_conjecture,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_373,negated_conjecture,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_374,negated_conjecture,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_375,negated_conjecture,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_376,negated_conjecture,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_377,negated_conjecture,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_378,negated_conjecture,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_379,negated_conjecture,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_380,negated_conjecture,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_381,negated_conjecture,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_382,negated_conjecture,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_383,negated_conjecture,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_386,negated_conjecture,
    ( leq(n0,sK0)
    | 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) != use ),
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_2923,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use ),
    inference(paramod,[status(thm)],[c_357,c_386]) ).

cnf(c_2924,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_358,c_2923]) ).

cnf(c_2925,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_359,c_2924]) ).

cnf(c_2926,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_360,c_2925]) ).

cnf(c_2927,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_361,c_2926]) ).

cnf(c_2928,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_362,c_2927]) ).

cnf(c_2929,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_363,c_2928]) ).

cnf(c_2930,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_364,c_2929]) ).

cnf(c_2931,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_365,c_2930]) ).

cnf(c_2932,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_366,c_2931]) ).

cnf(c_2933,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_367,c_2932]) ).

cnf(c_2934,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_368,c_2933]) ).

cnf(c_2935,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_369,c_2934]) ).

cnf(c_2936,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_370,c_2935]) ).

cnf(c_2937,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_371,c_2936]) ).

cnf(c_2938,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_372,c_2937]) ).

cnf(c_2939,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_373,c_2938]) ).

cnf(c_2940,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_374,c_2939]) ).

cnf(c_2941,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_375,c_2940]) ).

cnf(c_2942,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_376,c_2941]) ).

cnf(c_2943,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_377,c_2942]) ).

cnf(c_2944,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_378,c_2943]) ).

cnf(c_2945,negated_conjecture,
    ( leq(n0,sK0)
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_379,c_2944]) ).

cnf(c_2946,negated_conjecture,
    ( leq(n0,sK0)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_380,c_2945]) ).

cnf(c_2947,negated_conjecture,
    ( leq(n0,sK0)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_381,c_2946]) ).

cnf(c_2948,negated_conjecture,
    ( leq(n0,sK0)
    | a_select2(xinit_noise_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_382,c_2947]) ).

cnf(c_2949,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_383,c_2948]) ).

cnf(c_2950,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2949]) ).

cnf(c_2951,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2950]) ).

cnf(c_2952,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2951]) ).

cnf(c_2953,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2952]) ).

cnf(c_2954,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2953]) ).

cnf(c_2955,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2954]) ).

cnf(c_2956,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2955]) ).

cnf(c_2957,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2956]) ).

cnf(c_2958,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2957]) ).

cnf(c_2959,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2958]) ).

cnf(c_2960,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2959]) ).

cnf(c_2961,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2960]) ).

cnf(c_2962,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2961]) ).

cnf(c_2963,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2962]) ).

cnf(c_2964,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2963]) ).

cnf(c_2965,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2964]) ).

cnf(c_2966,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2965]) ).

cnf(c_2967,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2966]) ).

cnf(c_2968,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2967]) ).

cnf(c_2969,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2968]) ).

cnf(c_2970,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2969]) ).

cnf(c_2971,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2970]) ).

cnf(c_2972,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2971]) ).

cnf(c_2973,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2972]) ).

cnf(c_2974,negated_conjecture,
    ( leq(n0,sK0)
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_2973]) ).

cnf(c_2975,negated_conjecture,
    ( leq(n0,sK0)
    | use != use ),
    inference(copy,[status(thm)],[c_2974]) ).

cnf(c_387,negated_conjecture,
    leq(n0,sK0),
    inference(copy,[status(thm)],[c_2975]) ).

cnf(c_390,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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) != use ),
    inference(split_conjunct,[status(thm)],[sk_quaternion_ds1_inuse_0004_neg]) ).

cnf(c_2976,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use ),
    inference(paramod,[status(thm)],[c_357,c_390]) ).

cnf(c_2977,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_358,c_2976]) ).

cnf(c_2978,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_359,c_2977]) ).

cnf(c_2979,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_360,c_2978]) ).

cnf(c_2980,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_361,c_2979]) ).

cnf(c_2981,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_362,c_2980]) ).

cnf(c_2982,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_363,c_2981]) ).

cnf(c_2983,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_364,c_2982]) ).

cnf(c_2984,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_365,c_2983]) ).

cnf(c_2985,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_366,c_2984]) ).

cnf(c_2986,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_367,c_2985]) ).

cnf(c_2987,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_368,c_2986]) ).

cnf(c_2988,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_369,c_2987]) ).

cnf(c_2989,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_370,c_2988]) ).

cnf(c_2990,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_371,c_2989]) ).

cnf(c_2991,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_372,c_2990]) ).

cnf(c_2992,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_373,c_2991]) ).

cnf(c_2993,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_374,c_2992]) ).

cnf(c_2994,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_375,c_2993]) ).

cnf(c_2995,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_376,c_2994]) ).

cnf(c_2996,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_377,c_2995]) ).

cnf(c_2997,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_378,c_2996]) ).

cnf(c_2998,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | 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
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_379,c_2997]) ).

cnf(c_2999,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_380,c_2998]) ).

cnf(c_3000,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_381,c_2999]) ).

cnf(c_3001,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_382,c_3000]) ).

cnf(c_3002,negated_conjecture,
    ( leq(sK0,minus(n0,n1))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_383,c_3001]) ).

cnf(c_3003,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(paramod,[status(thm)],[c_300,c_3002]) ).

cnf(c_3004,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3003]) ).

cnf(c_3005,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3004]) ).

cnf(c_3006,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3005]) ).

cnf(c_3007,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3006]) ).

cnf(c_3008,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3007]) ).

cnf(c_3009,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3008]) ).

cnf(c_3010,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3009]) ).

cnf(c_3011,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3010]) ).

cnf(c_3012,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3011]) ).

cnf(c_3013,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3012]) ).

cnf(c_3014,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3013]) ).

cnf(c_3015,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3014]) ).

cnf(c_3016,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3015]) ).

cnf(c_3017,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3016]) ).

cnf(c_3018,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3017]) ).

cnf(c_3019,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3018]) ).

cnf(c_3020,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3019]) ).

cnf(c_3021,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3020]) ).

cnf(c_3022,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3021]) ).

cnf(c_3023,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3022]) ).

cnf(c_3024,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3023]) ).

cnf(c_3025,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3024]) ).

cnf(c_3026,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3025]) ).

cnf(c_3027,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3026]) ).

cnf(c_3028,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use
    | use != use ),
    inference(copy,[status(thm)],[c_3027]) ).

cnf(c_3029,negated_conjecture,
    ( leq(sK0,pred(n0))
    | use != use ),
    inference(copy,[status(thm)],[c_3028]) ).

cnf(c_391,negated_conjecture,
    leq(sK0,pred(n0)),
    inference(copy,[status(thm)],[c_3029]) ).

cnf(c_1200,plain,
    pred(n0) = tptp_minus_1,
    inference(paramod,[status(thm)],[c_281,c_301]) ).

cnf(c_1205,negated_conjecture,
    leq(sK0,tptp_minus_1),
    inference(paramod,[status(thm)],[c_1200,c_391]) ).

cnf(c_3030,negated_conjecture,
    ( n0 = sK0
    | ~ leq(sK0,n0) ),
    inference(resolve,[status(thm)],[c_387,c_344]) ).

cnf(c_1762,negated_conjecture,
    ( sK0 = n0
    | ~ leq(sK0,n0) ),
    inference(copy,[status(thm)],[c_3030]) ).

cnf(c_3031,negated_conjecture,
    gt(succ(tptp_minus_1),sK0),
    inference(resolve,[status(thm)],[c_1205,c_72]) ).

cnf(c_2808,negated_conjecture,
    gt(n0,sK0),
    inference(paramod,[status(thm)],[c_281,c_3031]) ).

cnf(c_3032,negated_conjecture,
    leq(sK0,succ(tptp_minus_1)),
    inference(resolve,[status(thm)],[c_1205,c_71]) ).

cnf(c_2809,negated_conjecture,
    leq(sK0,n0),
    inference(paramod,[status(thm)],[c_281,c_3032]) ).

cnf(c_2914,negated_conjecture,
    sK0 = n0,
    inference(resolve,[status(thm)],[c_2809,c_1762]) ).

cnf(c_3033,negated_conjecture,
    gt(n0,n0),
    inference(paramod,[status(thm)],[c_2914,c_2808]) ).

cnf(c_2922,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_63,c_3033]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42  % Computer : n001.cluster.edu
% 0.10/0.42  % Model    : x86_64 x86_64
% 0.10/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42  % Memory   : 8046.5625MB
% 0.10/0.42  % OS       : Linux 6.8.0-71-generic
% 0.10/0.42  % CPULimit : 300
% 0.10/0.42  % WCLimit  : 300
% 0.10/0.42  % DateTime : Sat Sep 26 13:17:58 UTC 2026
% 0.10/0.43  % CPUTime  : 
% 0.10/0.43  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.43  % Process 1887458 was started by sandbox on n001,
% 0.10/0.43  % Sat Sep 26 13:17:58 2026
% 0.10/0.43  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.49  
% 0.16/0.49  % From the command line: assign(max_seconds, 300).
% 7.97/2.69  
% 7.97/2.69  % given #500 (I,wt=140): 579 leq(n0,f19(A,B,C,D,E,F,V6,V7)) | leq(n0,f21(A,B,C,D,E,F,V6,V7)) | leq(f23(A,B,C,D,E,F,V6,V7),V6) | -leq(n0,V6) | a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),n0,V6) = a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),V6,n0).  [factor(154,d,g),unit_del(e,64),unit_del(f,64)].
% 7.97/2.69  
% 7.97/2.69  % SZS status Theorem for theBenchmark
% 7.97/2.69  
% 7.97/2.69  % Proof 1 at 0.97 (+ 0.12) seconds.
% 7.97/2.69  % Length of proof is 52.
% 7.97/2.69  % Level of proof is 6.
% 7.97/2.69  % Maximum clause weight is 20.000.
% 7.97/2.69  % Given clauses 811.
% 7.97/2.69  
% 7.97/2.69  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------