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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWV095+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.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 : Thu Sep 24 09:02:41 AM UTC 2026

% Result   : Theorem 75.64s 80.95s
% Output   : Proof 75.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  624 ( 600 unt;   0 def)
%            Number of atoms       : 1514 (1005 equ)
%            Maximal formula atoms :   74 (   2 avg)
%            Number of connectives : 1493 ( 603   ~; 596   |; 289   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   72 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  20 con; 0-3 aty)
%            Number of variables   :   25 (   0 sgn  16   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0007,conjecture,
    ( ( ! [A,B] :
          ( ( leq(B,minus(pv5,n1))
            & leq(A,n2)
            & leq(n0,B)
            & leq(n0,A) )
         => ( a_select3(z_defuse,A,B) = use
            & a_select3(u_defuse,A,B) = use ) )
      & leq(pv51,minus(n6,n1))
      & leq(pv5,minus(n999,n1))
      & leq(n0,pv51)
      & leq(n0,pv5)
      & 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 )
   => ( ! [C,D] :
          ( ( leq(D,minus(pv5,n1))
            & leq(C,n2)
            & leq(n0,D)
            & leq(n0,C) )
         => ( a_select3(z_defuse,C,D) = use
            & a_select3(u_defuse,C,D) = use ) )
      & leq(pv51,minus(n6,n1))
      & leq(pv5,minus(n999,n1))
      & leq(n0,pv51)
      & leq(n0,pv5)
      & 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_0007) ).

fof(f_53_1,negated_conjecture,
    ( ~ ( ! [C,D] :
            ( ( leq(D,minus(pv5,n1))
              & leq(C,n2)
              & leq(n0,D)
              & leq(n0,C) )
           => ( a_select3(z_defuse,C,D) = use
              & a_select3(u_defuse,C,D) = use ) )
        & leq(pv51,minus(n6,n1))
        & leq(pv5,minus(n999,n1))
        & leq(n0,pv51)
        & leq(n0,pv5)
        & 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(pv5,n1))
          & leq(A,n2)
          & leq(n0,B)
          & leq(n0,A) )
       => ( a_select3(z_defuse,A,B) = use
          & a_select3(u_defuse,A,B) = use ) )
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv51)
    & leq(n0,pv5)
    & 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(negate,[status(cth)],[quaternion_ds1_inuse_0007]) ).

fof(f_53_2,negated_conjecture,
    ( ( ? [C,D] :
          ( ( a_select3(z_defuse,C,D) != use
            | a_select3(u_defuse,C,D) != use )
          & leq(D,minus(pv5,n1))
          & leq(C,n2)
          & leq(n0,D)
          & leq(n0,C) )
      | ~ leq(pv51,minus(n6,n1))
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv51)
      | ~ leq(n0,pv5)
      | 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] :
        ( ( a_select3(z_defuse,A,B) = use
          & a_select3(u_defuse,A,B) = use )
        | ~ leq(B,minus(pv5,n1))
        | ~ leq(A,n2)
        | ~ leq(n0,B)
        | ~ leq(n0,A) )
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv51)
    & leq(n0,pv5)
    & 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)],[f_53_1]) ).

fof(f_53_3,negated_conjecture,
    ( ( ? [U_185,U_184] :
          ( ( a_select3(z_defuse,U_185,U_184) != use
            | a_select3(u_defuse,U_185,U_184) != use )
          & leq(U_184,minus(pv5,n1))
          & leq(U_185,n2)
          & leq(n0,U_184)
          & leq(n0,U_185) )
      | ~ leq(pv51,minus(n6,n1))
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv51)
      | ~ leq(n0,pv5)
      | 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 )
    & ! [U_183,U_182] :
        ( ( a_select3(z_defuse,U_183,U_182) = use
          & a_select3(u_defuse,U_183,U_182) = use )
        | ~ leq(U_182,minus(pv5,n1))
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_182)
        | ~ leq(n0,U_183) )
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv51)
    & leq(n0,pv5)
    & 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(variable_rename,[status(thm)],[f_53_2]) ).

fof(f_53_4,negated_conjecture,
    ( ( ? [U_184] :
          ( ( a_select3(z_defuse,sK28,U_184) != use
            | a_select3(u_defuse,sK28,U_184) != use )
          & leq(U_184,minus(pv5,n1))
          & leq(sK28,n2)
          & leq(n0,U_184)
          & leq(n0,sK28) )
      | ~ leq(pv51,minus(n6,n1))
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv51)
      | ~ leq(n0,pv5)
      | 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 )
    & ! [U_183,U_182] :
        ( ( a_select3(z_defuse,U_183,U_182) = use
          & a_select3(u_defuse,U_183,U_182) = use )
        | ~ leq(U_182,minus(pv5,n1))
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_182)
        | ~ leq(n0,U_183) )
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv51)
    & leq(n0,pv5)
    & 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,[sK28]),skolemize(U_185,sK28)],[f_53_3]) ).

fof(f_53_5,negated_conjecture,
    ( ( ( ( a_select3(z_defuse,sK28,sK29) != use
          | a_select3(u_defuse,sK28,sK29) != use )
        & leq(sK29,minus(pv5,n1))
        & leq(sK28,n2)
        & leq(n0,sK29)
        & leq(n0,sK28) )
      | ~ leq(pv51,minus(n6,n1))
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv51)
      | ~ leq(n0,pv5)
      | 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 )
    & ! [U_183,U_182] :
        ( ( a_select3(z_defuse,U_183,U_182) = use
          & a_select3(u_defuse,U_183,U_182) = use )
        | ~ leq(U_182,minus(pv5,n1))
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_182)
        | ~ leq(n0,U_183) )
    & leq(pv51,minus(n6,n1))
    & leq(pv5,minus(n999,n1))
    & leq(n0,pv51)
    & leq(n0,pv5)
    & 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,[sK29]),skolemize(U_184,sK29)],[f_53_4]) ).

cnf(f_53_6,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_7,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_8,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_9,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_10,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_11,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_12,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_13,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_14,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_15,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_16,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_17,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_18,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_19,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_20,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_21,negated_conjecture,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_22,negated_conjecture,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_23,negated_conjecture,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_24,negated_conjecture,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_25,negated_conjecture,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_26,negated_conjecture,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_27,negated_conjecture,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_28,negated_conjecture,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_29,negated_conjecture,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_30,negated_conjecture,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_31,negated_conjecture,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_32,negated_conjecture,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_33,negated_conjecture,
    leq(n0,pv5),
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_34,negated_conjecture,
    leq(n0,pv51),
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_35,negated_conjecture,
    leq(pv5,minus(n999,n1)),
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_36,negated_conjecture,
    leq(pv51,minus(n6,n1)),
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_37,negated_conjecture,
    ( a_select3(u_defuse,U_183,U_182) = use
    | ~ leq(U_182,minus(pv5,n1))
    | ~ leq(U_183,n2)
    | ~ leq(n0,U_182)
    | ~ leq(n0,U_183) ),
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_38,negated_conjecture,
    ( a_select3(z_defuse,U_183,U_182) = use
    | ~ leq(U_182,minus(pv5,n1))
    | ~ leq(U_183,n2)
    | ~ leq(n0,U_182)
    | ~ leq(n0,U_183) ),
    inference(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_39,negated_conjecture,
    ( leq(n0,sK28)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | 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(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_40,negated_conjecture,
    ( leq(n0,sK29)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | 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(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_41,negated_conjecture,
    ( leq(sK28,n2)
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | 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(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_42,negated_conjecture,
    ( leq(sK29,minus(pv5,n1))
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | 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(clausify,[status(thm)],[f_53_5]) ).

cnf(f_53_43,negated_conjecture,
    ( a_select3(z_defuse,sK28,sK29) != use
    | a_select3(u_defuse,sK28,sK29) != use
    | ~ leq(pv51,minus(n6,n1))
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv51)
    | ~ leq(n0,pv5)
    | 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(clausify,[status(thm)],[f_53_5]) ).

cnf(t1,plain,
    ( a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv51)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(pv51,minus(n6,n1))
    | a_select3(u_defuse,sK28,sK29) != use
    | a_select3(z_defuse,sK28,sK29) != use
    | a_select2(rho_defuse,n0) != use ),
    inference(start,[status(thm),parent(0:0)],[f_53_43]) ).

cnf(t2,plain,
    a_select2(rho_defuse,n0) = use,
    inference(extension,[status(thm),parent(t1:1)],[f_53_6]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(l1,lemma,
    a_select2(rho_defuse,n0) = use,
    inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).

cnf(t4,plain,
    ( ~ leq(n0,sK29)
    | ~ leq(sK28,n2)
    | ~ leq(sK29,minus(pv5,n1))
    | ~ leq(n0,sK28)
    | a_select3(z_defuse,sK28,sK29) = use ),
    inference(extension,[status(thm),parent(t1:2)],[f_53_38]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).

cnf(t6,plain,
    ( a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv51)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(pv51,minus(n6,n1))
    | a_select2(rho_defuse,n0) != use
    | leq(n0,sK28) ),
    inference(extension,[status(thm),parent(t4:2)],[f_53_39]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    a_select2(rho_defuse,n0) = use,
    inference(lemma_extension,[status(thm),parent(t6:2)],[l1:1]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).

cnf(t10,plain,
    leq(pv51,minus(n6,n1)),
    inference(extension,[status(thm),parent(t6:3)],[f_53_36]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).

cnf(t12,plain,
    leq(pv5,minus(n999,n1)),
    inference(extension,[status(thm),parent(t6:4)],[f_53_35]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).

cnf(t14,plain,
    leq(n0,pv51),
    inference(extension,[status(thm),parent(t6:5)],[f_53_34]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:5]) ).

cnf(t16,plain,
    leq(n0,pv5),
    inference(extension,[status(thm),parent(t6:6)],[f_53_33]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:6]) ).

cnf(t18,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(extension,[status(thm),parent(t6:7)],[f_53_32]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t6:7]) ).

cnf(t20,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(extension,[status(thm),parent(t6:8)],[f_53_31]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t6:8]) ).

cnf(t22,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(extension,[status(thm),parent(t6:9)],[f_53_30]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t6:9]) ).

cnf(t24,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(extension,[status(thm),parent(t6:10)],[f_53_29]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t6:10]) ).

cnf(t26,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(extension,[status(thm),parent(t6:11)],[f_53_28]) ).

cnf(t27,plain,
    $false,
    inference(connection,[status(thm),parent(t26:1)],[t26:1,t6:11]) ).

cnf(t28,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(extension,[status(thm),parent(t6:12)],[f_53_27]) ).

cnf(t29,plain,
    $false,
    inference(connection,[status(thm),parent(t28:1)],[t28:1,t6:12]) ).

cnf(t30,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(extension,[status(thm),parent(t6:13)],[f_53_26]) ).

cnf(t31,plain,
    $false,
    inference(connection,[status(thm),parent(t30:1)],[t30:1,t6:13]) ).

cnf(t32,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(extension,[status(thm),parent(t6:14)],[f_53_25]) ).

cnf(t33,plain,
    $false,
    inference(connection,[status(thm),parent(t32:1)],[t32:1,t6:14]) ).

cnf(t34,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(extension,[status(thm),parent(t6:15)],[f_53_24]) ).

cnf(t35,plain,
    $false,
    inference(connection,[status(thm),parent(t34:1)],[t34:1,t6:15]) ).

cnf(t36,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(extension,[status(thm),parent(t6:16)],[f_53_23]) ).

cnf(t37,plain,
    $false,
    inference(connection,[status(thm),parent(t36:1)],[t36:1,t6:16]) ).

cnf(t38,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(extension,[status(thm),parent(t6:17)],[f_53_22]) ).

cnf(t39,plain,
    $false,
    inference(connection,[status(thm),parent(t38:1)],[t38:1,t6:17]) ).

cnf(t40,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(extension,[status(thm),parent(t6:18)],[f_53_21]) ).

cnf(t41,plain,
    $false,
    inference(connection,[status(thm),parent(t40:1)],[t40:1,t6:18]) ).

cnf(t42,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(extension,[status(thm),parent(t6:19)],[f_53_20]) ).

cnf(t43,plain,
    $false,
    inference(connection,[status(thm),parent(t42:1)],[t42:1,t6:19]) ).

cnf(t44,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(extension,[status(thm),parent(t6:20)],[f_53_19]) ).

cnf(t45,plain,
    $false,
    inference(connection,[status(thm),parent(t44:1)],[t44:1,t6:20]) ).

cnf(t46,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(extension,[status(thm),parent(t6:21)],[f_53_18]) ).

cnf(t47,plain,
    $false,
    inference(connection,[status(thm),parent(t46:1)],[t46:1,t6:21]) ).

cnf(t48,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(extension,[status(thm),parent(t6:22)],[f_53_17]) ).

cnf(t49,plain,
    $false,
    inference(connection,[status(thm),parent(t48:1)],[t48:1,t6:22]) ).

cnf(t50,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(extension,[status(thm),parent(t6:23)],[f_53_16]) ).

cnf(t51,plain,
    $false,
    inference(connection,[status(thm),parent(t50:1)],[t50:1,t6:23]) ).

cnf(t52,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(extension,[status(thm),parent(t6:24)],[f_53_15]) ).

cnf(t53,plain,
    $false,
    inference(connection,[status(thm),parent(t52:1)],[t52:1,t6:24]) ).

cnf(t54,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(extension,[status(thm),parent(t6:25)],[f_53_14]) ).

cnf(t55,plain,
    $false,
    inference(connection,[status(thm),parent(t54:1)],[t54:1,t6:25]) ).

cnf(t56,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(extension,[status(thm),parent(t6:26)],[f_53_13]) ).

cnf(t57,plain,
    $false,
    inference(connection,[status(thm),parent(t56:1)],[t56:1,t6:26]) ).

cnf(t58,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(extension,[status(thm),parent(t6:27)],[f_53_12]) ).

cnf(t59,plain,
    $false,
    inference(connection,[status(thm),parent(t58:1)],[t58:1,t6:27]) ).

cnf(t60,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(extension,[status(thm),parent(t6:28)],[f_53_11]) ).

cnf(t61,plain,
    $false,
    inference(connection,[status(thm),parent(t60:1)],[t60:1,t6:28]) ).

cnf(t62,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(extension,[status(thm),parent(t6:29)],[f_53_10]) ).

cnf(t63,plain,
    $false,
    inference(connection,[status(thm),parent(t62:1)],[t62:1,t6:29]) ).

cnf(t64,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(extension,[status(thm),parent(t6:30)],[f_53_9]) ).

cnf(t65,plain,
    $false,
    inference(connection,[status(thm),parent(t64:1)],[t64:1,t6:30]) ).

cnf(t66,plain,
    a_select2(rho_defuse,n2) = use,
    inference(extension,[status(thm),parent(t6:31)],[f_53_8]) ).

cnf(t67,plain,
    $false,
    inference(connection,[status(thm),parent(t66:1)],[t66:1,t6:31]) ).

cnf(t68,plain,
    a_select2(rho_defuse,n1) = use,
    inference(extension,[status(thm),parent(t6:32)],[f_53_7]) ).

cnf(t69,plain,
    $false,
    inference(connection,[status(thm),parent(t68:1)],[t68:1,t6:32]) ).

cnf(t70,plain,
    ( a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv51)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(pv51,minus(n6,n1))
    | a_select2(rho_defuse,n0) != use
    | leq(sK29,minus(pv5,n1)) ),
    inference(extension,[status(thm),parent(t4:3)],[f_53_42]) ).

cnf(t71,plain,
    $false,
    inference(connection,[status(thm),parent(t70:1)],[t70:1,t4:3]) ).

cnf(t72,plain,
    a_select2(rho_defuse,n0) = use,
    inference(lemma_extension,[status(thm),parent(t70:2)],[l1:1]) ).

cnf(t73,plain,
    $false,
    inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).

cnf(t74,plain,
    leq(pv51,minus(n6,n1)),
    inference(extension,[status(thm),parent(t70:3)],[f_53_36]) ).

cnf(t75,plain,
    $false,
    inference(connection,[status(thm),parent(t74:1)],[t74:1,t70:3]) ).

cnf(t76,plain,
    leq(pv5,minus(n999,n1)),
    inference(extension,[status(thm),parent(t70:4)],[f_53_35]) ).

cnf(t77,plain,
    $false,
    inference(connection,[status(thm),parent(t76:1)],[t76:1,t70:4]) ).

cnf(t78,plain,
    leq(n0,pv51),
    inference(extension,[status(thm),parent(t70:5)],[f_53_34]) ).

cnf(t79,plain,
    $false,
    inference(connection,[status(thm),parent(t78:1)],[t78:1,t70:5]) ).

cnf(t80,plain,
    leq(n0,pv5),
    inference(extension,[status(thm),parent(t70:6)],[f_53_33]) ).

cnf(t81,plain,
    $false,
    inference(connection,[status(thm),parent(t80:1)],[t80:1,t70:6]) ).

cnf(t82,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(extension,[status(thm),parent(t70:7)],[f_53_32]) ).

cnf(t83,plain,
    $false,
    inference(connection,[status(thm),parent(t82:1)],[t82:1,t70:7]) ).

cnf(t84,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(extension,[status(thm),parent(t70:8)],[f_53_31]) ).

cnf(t85,plain,
    $false,
    inference(connection,[status(thm),parent(t84:1)],[t84:1,t70:8]) ).

cnf(t86,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(extension,[status(thm),parent(t70:9)],[f_53_30]) ).

cnf(t87,plain,
    $false,
    inference(connection,[status(thm),parent(t86:1)],[t86:1,t70:9]) ).

cnf(t88,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(extension,[status(thm),parent(t70:10)],[f_53_29]) ).

cnf(t89,plain,
    $false,
    inference(connection,[status(thm),parent(t88:1)],[t88:1,t70:10]) ).

cnf(t90,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(extension,[status(thm),parent(t70:11)],[f_53_28]) ).

cnf(t91,plain,
    $false,
    inference(connection,[status(thm),parent(t90:1)],[t90:1,t70:11]) ).

cnf(t92,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(extension,[status(thm),parent(t70:12)],[f_53_27]) ).

cnf(t93,plain,
    $false,
    inference(connection,[status(thm),parent(t92:1)],[t92:1,t70:12]) ).

cnf(t94,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(extension,[status(thm),parent(t70:13)],[f_53_26]) ).

cnf(t95,plain,
    $false,
    inference(connection,[status(thm),parent(t94:1)],[t94:1,t70:13]) ).

cnf(t96,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(extension,[status(thm),parent(t70:14)],[f_53_25]) ).

cnf(t97,plain,
    $false,
    inference(connection,[status(thm),parent(t96:1)],[t96:1,t70:14]) ).

cnf(t98,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(extension,[status(thm),parent(t70:15)],[f_53_24]) ).

cnf(t99,plain,
    $false,
    inference(connection,[status(thm),parent(t98:1)],[t98:1,t70:15]) ).

cnf(t100,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(extension,[status(thm),parent(t70:16)],[f_53_23]) ).

cnf(t101,plain,
    $false,
    inference(connection,[status(thm),parent(t100:1)],[t100:1,t70:16]) ).

cnf(t102,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(extension,[status(thm),parent(t70:17)],[f_53_22]) ).

cnf(t103,plain,
    $false,
    inference(connection,[status(thm),parent(t102:1)],[t102:1,t70:17]) ).

cnf(t104,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(extension,[status(thm),parent(t70:18)],[f_53_21]) ).

cnf(t105,plain,
    $false,
    inference(connection,[status(thm),parent(t104:1)],[t104:1,t70:18]) ).

cnf(t106,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(extension,[status(thm),parent(t70:19)],[f_53_20]) ).

cnf(t107,plain,
    $false,
    inference(connection,[status(thm),parent(t106:1)],[t106:1,t70:19]) ).

cnf(t108,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(extension,[status(thm),parent(t70:20)],[f_53_19]) ).

cnf(t109,plain,
    $false,
    inference(connection,[status(thm),parent(t108:1)],[t108:1,t70:20]) ).

cnf(t110,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(extension,[status(thm),parent(t70:21)],[f_53_18]) ).

cnf(t111,plain,
    $false,
    inference(connection,[status(thm),parent(t110:1)],[t110:1,t70:21]) ).

cnf(t112,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(extension,[status(thm),parent(t70:22)],[f_53_17]) ).

cnf(t113,plain,
    $false,
    inference(connection,[status(thm),parent(t112:1)],[t112:1,t70:22]) ).

cnf(t114,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(extension,[status(thm),parent(t70:23)],[f_53_16]) ).

cnf(t115,plain,
    $false,
    inference(connection,[status(thm),parent(t114:1)],[t114:1,t70:23]) ).

cnf(t116,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(extension,[status(thm),parent(t70:24)],[f_53_15]) ).

cnf(t117,plain,
    $false,
    inference(connection,[status(thm),parent(t116:1)],[t116:1,t70:24]) ).

cnf(t118,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(extension,[status(thm),parent(t70:25)],[f_53_14]) ).

cnf(t119,plain,
    $false,
    inference(connection,[status(thm),parent(t118:1)],[t118:1,t70:25]) ).

cnf(t120,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(extension,[status(thm),parent(t70:26)],[f_53_13]) ).

cnf(t121,plain,
    $false,
    inference(connection,[status(thm),parent(t120:1)],[t120:1,t70:26]) ).

cnf(t122,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(extension,[status(thm),parent(t70:27)],[f_53_12]) ).

cnf(t123,plain,
    $false,
    inference(connection,[status(thm),parent(t122:1)],[t122:1,t70:27]) ).

cnf(t124,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(extension,[status(thm),parent(t70:28)],[f_53_11]) ).

cnf(t125,plain,
    $false,
    inference(connection,[status(thm),parent(t124:1)],[t124:1,t70:28]) ).

cnf(t126,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(extension,[status(thm),parent(t70:29)],[f_53_10]) ).

cnf(t127,plain,
    $false,
    inference(connection,[status(thm),parent(t126:1)],[t126:1,t70:29]) ).

cnf(t128,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(extension,[status(thm),parent(t70:30)],[f_53_9]) ).

cnf(t129,plain,
    $false,
    inference(connection,[status(thm),parent(t128:1)],[t128:1,t70:30]) ).

cnf(t130,plain,
    a_select2(rho_defuse,n2) = use,
    inference(extension,[status(thm),parent(t70:31)],[f_53_8]) ).

cnf(t131,plain,
    $false,
    inference(connection,[status(thm),parent(t130:1)],[t130:1,t70:31]) ).

cnf(t132,plain,
    a_select2(rho_defuse,n1) = use,
    inference(extension,[status(thm),parent(t70:32)],[f_53_7]) ).

cnf(t133,plain,
    $false,
    inference(connection,[status(thm),parent(t132:1)],[t132:1,t70:32]) ).

cnf(t134,plain,
    ( a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv51)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(pv51,minus(n6,n1))
    | a_select2(rho_defuse,n0) != use
    | leq(sK28,n2) ),
    inference(extension,[status(thm),parent(t4:4)],[f_53_41]) ).

cnf(t135,plain,
    $false,
    inference(connection,[status(thm),parent(t134:1)],[t134:1,t4:4]) ).

cnf(t136,plain,
    a_select2(rho_defuse,n0) = use,
    inference(lemma_extension,[status(thm),parent(t134:2)],[l1:1]) ).

cnf(t137,plain,
    $false,
    inference(connection,[status(thm),parent(t136:1)],[t136:1,t134:2]) ).

cnf(t138,plain,
    leq(pv51,minus(n6,n1)),
    inference(extension,[status(thm),parent(t134:3)],[f_53_36]) ).

cnf(t139,plain,
    $false,
    inference(connection,[status(thm),parent(t138:1)],[t138:1,t134:3]) ).

cnf(t140,plain,
    leq(pv5,minus(n999,n1)),
    inference(extension,[status(thm),parent(t134:4)],[f_53_35]) ).

cnf(t141,plain,
    $false,
    inference(connection,[status(thm),parent(t140:1)],[t140:1,t134:4]) ).

cnf(t142,plain,
    leq(n0,pv51),
    inference(extension,[status(thm),parent(t134:5)],[f_53_34]) ).

cnf(t143,plain,
    $false,
    inference(connection,[status(thm),parent(t142:1)],[t142:1,t134:5]) ).

cnf(t144,plain,
    leq(n0,pv5),
    inference(extension,[status(thm),parent(t134:6)],[f_53_33]) ).

cnf(t145,plain,
    $false,
    inference(connection,[status(thm),parent(t144:1)],[t144:1,t134:6]) ).

cnf(t146,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(extension,[status(thm),parent(t134:7)],[f_53_32]) ).

cnf(t147,plain,
    $false,
    inference(connection,[status(thm),parent(t146:1)],[t146:1,t134:7]) ).

cnf(t148,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(extension,[status(thm),parent(t134:8)],[f_53_31]) ).

cnf(t149,plain,
    $false,
    inference(connection,[status(thm),parent(t148:1)],[t148:1,t134:8]) ).

cnf(t150,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(extension,[status(thm),parent(t134:9)],[f_53_30]) ).

cnf(t151,plain,
    $false,
    inference(connection,[status(thm),parent(t150:1)],[t150:1,t134:9]) ).

cnf(t152,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(extension,[status(thm),parent(t134:10)],[f_53_29]) ).

cnf(t153,plain,
    $false,
    inference(connection,[status(thm),parent(t152:1)],[t152:1,t134:10]) ).

cnf(t154,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(extension,[status(thm),parent(t134:11)],[f_53_28]) ).

cnf(t155,plain,
    $false,
    inference(connection,[status(thm),parent(t154:1)],[t154:1,t134:11]) ).

cnf(t156,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(extension,[status(thm),parent(t134:12)],[f_53_27]) ).

cnf(t157,plain,
    $false,
    inference(connection,[status(thm),parent(t156:1)],[t156:1,t134:12]) ).

cnf(t158,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(extension,[status(thm),parent(t134:13)],[f_53_26]) ).

cnf(t159,plain,
    $false,
    inference(connection,[status(thm),parent(t158:1)],[t158:1,t134:13]) ).

cnf(t160,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(extension,[status(thm),parent(t134:14)],[f_53_25]) ).

cnf(t161,plain,
    $false,
    inference(connection,[status(thm),parent(t160:1)],[t160:1,t134:14]) ).

cnf(t162,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(extension,[status(thm),parent(t134:15)],[f_53_24]) ).

cnf(t163,plain,
    $false,
    inference(connection,[status(thm),parent(t162:1)],[t162:1,t134:15]) ).

cnf(t164,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(extension,[status(thm),parent(t134:16)],[f_53_23]) ).

cnf(t165,plain,
    $false,
    inference(connection,[status(thm),parent(t164:1)],[t164:1,t134:16]) ).

cnf(t166,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(extension,[status(thm),parent(t134:17)],[f_53_22]) ).

cnf(t167,plain,
    $false,
    inference(connection,[status(thm),parent(t166:1)],[t166:1,t134:17]) ).

cnf(t168,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(extension,[status(thm),parent(t134:18)],[f_53_21]) ).

cnf(t169,plain,
    $false,
    inference(connection,[status(thm),parent(t168:1)],[t168:1,t134:18]) ).

cnf(t170,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(extension,[status(thm),parent(t134:19)],[f_53_20]) ).

cnf(t171,plain,
    $false,
    inference(connection,[status(thm),parent(t170:1)],[t170:1,t134:19]) ).

cnf(t172,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(extension,[status(thm),parent(t134:20)],[f_53_19]) ).

cnf(t173,plain,
    $false,
    inference(connection,[status(thm),parent(t172:1)],[t172:1,t134:20]) ).

cnf(t174,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(extension,[status(thm),parent(t134:21)],[f_53_18]) ).

cnf(t175,plain,
    $false,
    inference(connection,[status(thm),parent(t174:1)],[t174:1,t134:21]) ).

cnf(t176,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(extension,[status(thm),parent(t134:22)],[f_53_17]) ).

cnf(t177,plain,
    $false,
    inference(connection,[status(thm),parent(t176:1)],[t176:1,t134:22]) ).

cnf(t178,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(extension,[status(thm),parent(t134:23)],[f_53_16]) ).

cnf(t179,plain,
    $false,
    inference(connection,[status(thm),parent(t178:1)],[t178:1,t134:23]) ).

cnf(t180,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(extension,[status(thm),parent(t134:24)],[f_53_15]) ).

cnf(t181,plain,
    $false,
    inference(connection,[status(thm),parent(t180:1)],[t180:1,t134:24]) ).

cnf(t182,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(extension,[status(thm),parent(t134:25)],[f_53_14]) ).

cnf(t183,plain,
    $false,
    inference(connection,[status(thm),parent(t182:1)],[t182:1,t134:25]) ).

cnf(t184,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(extension,[status(thm),parent(t134:26)],[f_53_13]) ).

cnf(t185,plain,
    $false,
    inference(connection,[status(thm),parent(t184:1)],[t184:1,t134:26]) ).

cnf(t186,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(extension,[status(thm),parent(t134:27)],[f_53_12]) ).

cnf(t187,plain,
    $false,
    inference(connection,[status(thm),parent(t186:1)],[t186:1,t134:27]) ).

cnf(t188,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(extension,[status(thm),parent(t134:28)],[f_53_11]) ).

cnf(t189,plain,
    $false,
    inference(connection,[status(thm),parent(t188:1)],[t188:1,t134:28]) ).

cnf(t190,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(extension,[status(thm),parent(t134:29)],[f_53_10]) ).

cnf(t191,plain,
    $false,
    inference(connection,[status(thm),parent(t190:1)],[t190:1,t134:29]) ).

cnf(t192,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(extension,[status(thm),parent(t134:30)],[f_53_9]) ).

cnf(t193,plain,
    $false,
    inference(connection,[status(thm),parent(t192:1)],[t192:1,t134:30]) ).

cnf(t194,plain,
    a_select2(rho_defuse,n2) = use,
    inference(extension,[status(thm),parent(t134:31)],[f_53_8]) ).

cnf(t195,plain,
    $false,
    inference(connection,[status(thm),parent(t194:1)],[t194:1,t134:31]) ).

cnf(t196,plain,
    a_select2(rho_defuse,n1) = use,
    inference(extension,[status(thm),parent(t134:32)],[f_53_7]) ).

cnf(t197,plain,
    $false,
    inference(connection,[status(thm),parent(t196:1)],[t196:1,t134:32]) ).

cnf(t198,plain,
    ( a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv51)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(pv51,minus(n6,n1))
    | a_select2(rho_defuse,n0) != use
    | leq(n0,sK29) ),
    inference(extension,[status(thm),parent(t4:5)],[f_53_40]) ).

cnf(t199,plain,
    $false,
    inference(connection,[status(thm),parent(t198:1)],[t198:1,t4:5]) ).

cnf(t200,plain,
    a_select2(rho_defuse,n0) = use,
    inference(lemma_extension,[status(thm),parent(t198:2)],[l1:1]) ).

cnf(t201,plain,
    $false,
    inference(connection,[status(thm),parent(t200:1)],[t200:1,t198:2]) ).

cnf(t202,plain,
    leq(pv51,minus(n6,n1)),
    inference(extension,[status(thm),parent(t198:3)],[f_53_36]) ).

cnf(t203,plain,
    $false,
    inference(connection,[status(thm),parent(t202:1)],[t202:1,t198:3]) ).

cnf(t204,plain,
    leq(pv5,minus(n999,n1)),
    inference(extension,[status(thm),parent(t198:4)],[f_53_35]) ).

cnf(t205,plain,
    $false,
    inference(connection,[status(thm),parent(t204:1)],[t204:1,t198:4]) ).

cnf(t206,plain,
    leq(n0,pv51),
    inference(extension,[status(thm),parent(t198:5)],[f_53_34]) ).

cnf(t207,plain,
    $false,
    inference(connection,[status(thm),parent(t206:1)],[t206:1,t198:5]) ).

cnf(t208,plain,
    leq(n0,pv5),
    inference(extension,[status(thm),parent(t198:6)],[f_53_33]) ).

cnf(t209,plain,
    $false,
    inference(connection,[status(thm),parent(t208:1)],[t208:1,t198:6]) ).

cnf(t210,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(extension,[status(thm),parent(t198:7)],[f_53_32]) ).

cnf(t211,plain,
    $false,
    inference(connection,[status(thm),parent(t210:1)],[t210:1,t198:7]) ).

cnf(t212,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(extension,[status(thm),parent(t198:8)],[f_53_31]) ).

cnf(t213,plain,
    $false,
    inference(connection,[status(thm),parent(t212:1)],[t212:1,t198:8]) ).

cnf(t214,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(extension,[status(thm),parent(t198:9)],[f_53_30]) ).

cnf(t215,plain,
    $false,
    inference(connection,[status(thm),parent(t214:1)],[t214:1,t198:9]) ).

cnf(t216,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(extension,[status(thm),parent(t198:10)],[f_53_29]) ).

cnf(t217,plain,
    $false,
    inference(connection,[status(thm),parent(t216:1)],[t216:1,t198:10]) ).

cnf(t218,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(extension,[status(thm),parent(t198:11)],[f_53_28]) ).

cnf(t219,plain,
    $false,
    inference(connection,[status(thm),parent(t218:1)],[t218:1,t198:11]) ).

cnf(t220,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(extension,[status(thm),parent(t198:12)],[f_53_27]) ).

cnf(t221,plain,
    $false,
    inference(connection,[status(thm),parent(t220:1)],[t220:1,t198:12]) ).

cnf(t222,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(extension,[status(thm),parent(t198:13)],[f_53_26]) ).

cnf(t223,plain,
    $false,
    inference(connection,[status(thm),parent(t222:1)],[t222:1,t198:13]) ).

cnf(t224,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(extension,[status(thm),parent(t198:14)],[f_53_25]) ).

cnf(t225,plain,
    $false,
    inference(connection,[status(thm),parent(t224:1)],[t224:1,t198:14]) ).

cnf(t226,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(extension,[status(thm),parent(t198:15)],[f_53_24]) ).

cnf(t227,plain,
    $false,
    inference(connection,[status(thm),parent(t226:1)],[t226:1,t198:15]) ).

cnf(t228,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(extension,[status(thm),parent(t198:16)],[f_53_23]) ).

cnf(t229,plain,
    $false,
    inference(connection,[status(thm),parent(t228:1)],[t228:1,t198:16]) ).

cnf(t230,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(extension,[status(thm),parent(t198:17)],[f_53_22]) ).

cnf(t231,plain,
    $false,
    inference(connection,[status(thm),parent(t230:1)],[t230:1,t198:17]) ).

cnf(t232,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(extension,[status(thm),parent(t198:18)],[f_53_21]) ).

cnf(t233,plain,
    $false,
    inference(connection,[status(thm),parent(t232:1)],[t232:1,t198:18]) ).

cnf(t234,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(extension,[status(thm),parent(t198:19)],[f_53_20]) ).

cnf(t235,plain,
    $false,
    inference(connection,[status(thm),parent(t234:1)],[t234:1,t198:19]) ).

cnf(t236,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(extension,[status(thm),parent(t198:20)],[f_53_19]) ).

cnf(t237,plain,
    $false,
    inference(connection,[status(thm),parent(t236:1)],[t236:1,t198:20]) ).

cnf(t238,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(extension,[status(thm),parent(t198:21)],[f_53_18]) ).

cnf(t239,plain,
    $false,
    inference(connection,[status(thm),parent(t238:1)],[t238:1,t198:21]) ).

cnf(t240,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(extension,[status(thm),parent(t198:22)],[f_53_17]) ).

cnf(t241,plain,
    $false,
    inference(connection,[status(thm),parent(t240:1)],[t240:1,t198:22]) ).

cnf(t242,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(extension,[status(thm),parent(t198:23)],[f_53_16]) ).

cnf(t243,plain,
    $false,
    inference(connection,[status(thm),parent(t242:1)],[t242:1,t198:23]) ).

cnf(t244,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(extension,[status(thm),parent(t198:24)],[f_53_15]) ).

cnf(t245,plain,
    $false,
    inference(connection,[status(thm),parent(t244:1)],[t244:1,t198:24]) ).

cnf(t246,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(extension,[status(thm),parent(t198:25)],[f_53_14]) ).

cnf(t247,plain,
    $false,
    inference(connection,[status(thm),parent(t246:1)],[t246:1,t198:25]) ).

cnf(t248,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(extension,[status(thm),parent(t198:26)],[f_53_13]) ).

cnf(t249,plain,
    $false,
    inference(connection,[status(thm),parent(t248:1)],[t248:1,t198:26]) ).

cnf(t250,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(extension,[status(thm),parent(t198:27)],[f_53_12]) ).

cnf(t251,plain,
    $false,
    inference(connection,[status(thm),parent(t250:1)],[t250:1,t198:27]) ).

cnf(t252,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(extension,[status(thm),parent(t198:28)],[f_53_11]) ).

cnf(t253,plain,
    $false,
    inference(connection,[status(thm),parent(t252:1)],[t252:1,t198:28]) ).

cnf(t254,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(extension,[status(thm),parent(t198:29)],[f_53_10]) ).

cnf(t255,plain,
    $false,
    inference(connection,[status(thm),parent(t254:1)],[t254:1,t198:29]) ).

cnf(t256,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(extension,[status(thm),parent(t198:30)],[f_53_9]) ).

cnf(t257,plain,
    $false,
    inference(connection,[status(thm),parent(t256:1)],[t256:1,t198:30]) ).

cnf(t258,plain,
    a_select2(rho_defuse,n2) = use,
    inference(extension,[status(thm),parent(t198:31)],[f_53_8]) ).

cnf(t259,plain,
    $false,
    inference(connection,[status(thm),parent(t258:1)],[t258:1,t198:31]) ).

cnf(t260,plain,
    a_select2(rho_defuse,n1) = use,
    inference(extension,[status(thm),parent(t198:32)],[f_53_7]) ).

cnf(t261,plain,
    $false,
    inference(connection,[status(thm),parent(t260:1)],[t260:1,t198:32]) ).

cnf(t262,plain,
    ( ~ leq(n0,sK29)
    | ~ leq(sK28,n2)
    | ~ leq(sK29,minus(pv5,n1))
    | ~ leq(n0,sK28)
    | a_select3(u_defuse,sK28,sK29) = use ),
    inference(extension,[status(thm),parent(t1:3)],[f_53_37]) ).

cnf(t263,plain,
    $false,
    inference(connection,[status(thm),parent(t262:1)],[t262:1,t1:3]) ).

cnf(t264,plain,
    ( a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv51)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(pv51,minus(n6,n1))
    | a_select2(rho_defuse,n0) != use
    | leq(n0,sK28) ),
    inference(extension,[status(thm),parent(t262:2)],[f_53_39]) ).

cnf(t265,plain,
    $false,
    inference(connection,[status(thm),parent(t264:1)],[t264:1,t262:2]) ).

cnf(t266,plain,
    a_select2(rho_defuse,n0) = use,
    inference(lemma_extension,[status(thm),parent(t264:2)],[l1:1]) ).

cnf(t267,plain,
    $false,
    inference(connection,[status(thm),parent(t266:1)],[t266:1,t264:2]) ).

cnf(t268,plain,
    leq(pv51,minus(n6,n1)),
    inference(extension,[status(thm),parent(t264:3)],[f_53_36]) ).

cnf(t269,plain,
    $false,
    inference(connection,[status(thm),parent(t268:1)],[t268:1,t264:3]) ).

cnf(t270,plain,
    leq(pv5,minus(n999,n1)),
    inference(extension,[status(thm),parent(t264:4)],[f_53_35]) ).

cnf(t271,plain,
    $false,
    inference(connection,[status(thm),parent(t270:1)],[t270:1,t264:4]) ).

cnf(t272,plain,
    leq(n0,pv51),
    inference(extension,[status(thm),parent(t264:5)],[f_53_34]) ).

cnf(t273,plain,
    $false,
    inference(connection,[status(thm),parent(t272:1)],[t272:1,t264:5]) ).

cnf(t274,plain,
    leq(n0,pv5),
    inference(extension,[status(thm),parent(t264:6)],[f_53_33]) ).

cnf(t275,plain,
    $false,
    inference(connection,[status(thm),parent(t274:1)],[t274:1,t264:6]) ).

cnf(t276,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(extension,[status(thm),parent(t264:7)],[f_53_32]) ).

cnf(t277,plain,
    $false,
    inference(connection,[status(thm),parent(t276:1)],[t276:1,t264:7]) ).

cnf(t278,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(extension,[status(thm),parent(t264:8)],[f_53_31]) ).

cnf(t279,plain,
    $false,
    inference(connection,[status(thm),parent(t278:1)],[t278:1,t264:8]) ).

cnf(t280,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(extension,[status(thm),parent(t264:9)],[f_53_30]) ).

cnf(t281,plain,
    $false,
    inference(connection,[status(thm),parent(t280:1)],[t280:1,t264:9]) ).

cnf(t282,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(extension,[status(thm),parent(t264:10)],[f_53_29]) ).

cnf(t283,plain,
    $false,
    inference(connection,[status(thm),parent(t282:1)],[t282:1,t264:10]) ).

cnf(t284,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(extension,[status(thm),parent(t264:11)],[f_53_28]) ).

cnf(t285,plain,
    $false,
    inference(connection,[status(thm),parent(t284:1)],[t284:1,t264:11]) ).

cnf(t286,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(extension,[status(thm),parent(t264:12)],[f_53_27]) ).

cnf(t287,plain,
    $false,
    inference(connection,[status(thm),parent(t286:1)],[t286:1,t264:12]) ).

cnf(t288,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(extension,[status(thm),parent(t264:13)],[f_53_26]) ).

cnf(t289,plain,
    $false,
    inference(connection,[status(thm),parent(t288:1)],[t288:1,t264:13]) ).

cnf(t290,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(extension,[status(thm),parent(t264:14)],[f_53_25]) ).

cnf(t291,plain,
    $false,
    inference(connection,[status(thm),parent(t290:1)],[t290:1,t264:14]) ).

cnf(t292,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(extension,[status(thm),parent(t264:15)],[f_53_24]) ).

cnf(t293,plain,
    $false,
    inference(connection,[status(thm),parent(t292:1)],[t292:1,t264:15]) ).

cnf(t294,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(extension,[status(thm),parent(t264:16)],[f_53_23]) ).

cnf(t295,plain,
    $false,
    inference(connection,[status(thm),parent(t294:1)],[t294:1,t264:16]) ).

cnf(t296,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(extension,[status(thm),parent(t264:17)],[f_53_22]) ).

cnf(t297,plain,
    $false,
    inference(connection,[status(thm),parent(t296:1)],[t296:1,t264:17]) ).

cnf(t298,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(extension,[status(thm),parent(t264:18)],[f_53_21]) ).

cnf(t299,plain,
    $false,
    inference(connection,[status(thm),parent(t298:1)],[t298:1,t264:18]) ).

cnf(t300,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(extension,[status(thm),parent(t264:19)],[f_53_20]) ).

cnf(t301,plain,
    $false,
    inference(connection,[status(thm),parent(t300:1)],[t300:1,t264:19]) ).

cnf(t302,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(extension,[status(thm),parent(t264:20)],[f_53_19]) ).

cnf(t303,plain,
    $false,
    inference(connection,[status(thm),parent(t302:1)],[t302:1,t264:20]) ).

cnf(t304,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(extension,[status(thm),parent(t264:21)],[f_53_18]) ).

cnf(t305,plain,
    $false,
    inference(connection,[status(thm),parent(t304:1)],[t304:1,t264:21]) ).

cnf(t306,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(extension,[status(thm),parent(t264:22)],[f_53_17]) ).

cnf(t307,plain,
    $false,
    inference(connection,[status(thm),parent(t306:1)],[t306:1,t264:22]) ).

cnf(t308,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(extension,[status(thm),parent(t264:23)],[f_53_16]) ).

cnf(t309,plain,
    $false,
    inference(connection,[status(thm),parent(t308:1)],[t308:1,t264:23]) ).

cnf(t310,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(extension,[status(thm),parent(t264:24)],[f_53_15]) ).

cnf(t311,plain,
    $false,
    inference(connection,[status(thm),parent(t310:1)],[t310:1,t264:24]) ).

cnf(t312,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(extension,[status(thm),parent(t264:25)],[f_53_14]) ).

cnf(t313,plain,
    $false,
    inference(connection,[status(thm),parent(t312:1)],[t312:1,t264:25]) ).

cnf(t314,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(extension,[status(thm),parent(t264:26)],[f_53_13]) ).

cnf(t315,plain,
    $false,
    inference(connection,[status(thm),parent(t314:1)],[t314:1,t264:26]) ).

cnf(t316,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(extension,[status(thm),parent(t264:27)],[f_53_12]) ).

cnf(t317,plain,
    $false,
    inference(connection,[status(thm),parent(t316:1)],[t316:1,t264:27]) ).

cnf(t318,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(extension,[status(thm),parent(t264:28)],[f_53_11]) ).

cnf(t319,plain,
    $false,
    inference(connection,[status(thm),parent(t318:1)],[t318:1,t264:28]) ).

cnf(t320,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(extension,[status(thm),parent(t264:29)],[f_53_10]) ).

cnf(t321,plain,
    $false,
    inference(connection,[status(thm),parent(t320:1)],[t320:1,t264:29]) ).

cnf(t322,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(extension,[status(thm),parent(t264:30)],[f_53_9]) ).

cnf(t323,plain,
    $false,
    inference(connection,[status(thm),parent(t322:1)],[t322:1,t264:30]) ).

cnf(t324,plain,
    a_select2(rho_defuse,n2) = use,
    inference(extension,[status(thm),parent(t264:31)],[f_53_8]) ).

cnf(t325,plain,
    $false,
    inference(connection,[status(thm),parent(t324:1)],[t324:1,t264:31]) ).

cnf(t326,plain,
    a_select2(rho_defuse,n1) = use,
    inference(extension,[status(thm),parent(t264:32)],[f_53_7]) ).

cnf(t327,plain,
    $false,
    inference(connection,[status(thm),parent(t326:1)],[t326:1,t264:32]) ).

cnf(t328,plain,
    ( a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv51)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(pv51,minus(n6,n1))
    | a_select2(rho_defuse,n0) != use
    | leq(sK29,minus(pv5,n1)) ),
    inference(extension,[status(thm),parent(t262:3)],[f_53_42]) ).

cnf(t329,plain,
    $false,
    inference(connection,[status(thm),parent(t328:1)],[t328:1,t262:3]) ).

cnf(t330,plain,
    a_select2(rho_defuse,n0) = use,
    inference(lemma_extension,[status(thm),parent(t328:2)],[l1:1]) ).

cnf(t331,plain,
    $false,
    inference(connection,[status(thm),parent(t330:1)],[t330:1,t328:2]) ).

cnf(t332,plain,
    leq(pv51,minus(n6,n1)),
    inference(extension,[status(thm),parent(t328:3)],[f_53_36]) ).

cnf(t333,plain,
    $false,
    inference(connection,[status(thm),parent(t332:1)],[t332:1,t328:3]) ).

cnf(t334,plain,
    leq(pv5,minus(n999,n1)),
    inference(extension,[status(thm),parent(t328:4)],[f_53_35]) ).

cnf(t335,plain,
    $false,
    inference(connection,[status(thm),parent(t334:1)],[t334:1,t328:4]) ).

cnf(t336,plain,
    leq(n0,pv51),
    inference(extension,[status(thm),parent(t328:5)],[f_53_34]) ).

cnf(t337,plain,
    $false,
    inference(connection,[status(thm),parent(t336:1)],[t336:1,t328:5]) ).

cnf(t338,plain,
    leq(n0,pv5),
    inference(extension,[status(thm),parent(t328:6)],[f_53_33]) ).

cnf(t339,plain,
    $false,
    inference(connection,[status(thm),parent(t338:1)],[t338:1,t328:6]) ).

cnf(t340,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(extension,[status(thm),parent(t328:7)],[f_53_32]) ).

cnf(t341,plain,
    $false,
    inference(connection,[status(thm),parent(t340:1)],[t340:1,t328:7]) ).

cnf(t342,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(extension,[status(thm),parent(t328:8)],[f_53_31]) ).

cnf(t343,plain,
    $false,
    inference(connection,[status(thm),parent(t342:1)],[t342:1,t328:8]) ).

cnf(t344,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(extension,[status(thm),parent(t328:9)],[f_53_30]) ).

cnf(t345,plain,
    $false,
    inference(connection,[status(thm),parent(t344:1)],[t344:1,t328:9]) ).

cnf(t346,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(extension,[status(thm),parent(t328:10)],[f_53_29]) ).

cnf(t347,plain,
    $false,
    inference(connection,[status(thm),parent(t346:1)],[t346:1,t328:10]) ).

cnf(t348,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(extension,[status(thm),parent(t328:11)],[f_53_28]) ).

cnf(t349,plain,
    $false,
    inference(connection,[status(thm),parent(t348:1)],[t348:1,t328:11]) ).

cnf(t350,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(extension,[status(thm),parent(t328:12)],[f_53_27]) ).

cnf(t351,plain,
    $false,
    inference(connection,[status(thm),parent(t350:1)],[t350:1,t328:12]) ).

cnf(t352,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(extension,[status(thm),parent(t328:13)],[f_53_26]) ).

cnf(t353,plain,
    $false,
    inference(connection,[status(thm),parent(t352:1)],[t352:1,t328:13]) ).

cnf(t354,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(extension,[status(thm),parent(t328:14)],[f_53_25]) ).

cnf(t355,plain,
    $false,
    inference(connection,[status(thm),parent(t354:1)],[t354:1,t328:14]) ).

cnf(t356,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(extension,[status(thm),parent(t328:15)],[f_53_24]) ).

cnf(t357,plain,
    $false,
    inference(connection,[status(thm),parent(t356:1)],[t356:1,t328:15]) ).

cnf(t358,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(extension,[status(thm),parent(t328:16)],[f_53_23]) ).

cnf(t359,plain,
    $false,
    inference(connection,[status(thm),parent(t358:1)],[t358:1,t328:16]) ).

cnf(t360,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(extension,[status(thm),parent(t328:17)],[f_53_22]) ).

cnf(t361,plain,
    $false,
    inference(connection,[status(thm),parent(t360:1)],[t360:1,t328:17]) ).

cnf(t362,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(extension,[status(thm),parent(t328:18)],[f_53_21]) ).

cnf(t363,plain,
    $false,
    inference(connection,[status(thm),parent(t362:1)],[t362:1,t328:18]) ).

cnf(t364,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(extension,[status(thm),parent(t328:19)],[f_53_20]) ).

cnf(t365,plain,
    $false,
    inference(connection,[status(thm),parent(t364:1)],[t364:1,t328:19]) ).

cnf(t366,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(extension,[status(thm),parent(t328:20)],[f_53_19]) ).

cnf(t367,plain,
    $false,
    inference(connection,[status(thm),parent(t366:1)],[t366:1,t328:20]) ).

cnf(t368,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(extension,[status(thm),parent(t328:21)],[f_53_18]) ).

cnf(t369,plain,
    $false,
    inference(connection,[status(thm),parent(t368:1)],[t368:1,t328:21]) ).

cnf(t370,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(extension,[status(thm),parent(t328:22)],[f_53_17]) ).

cnf(t371,plain,
    $false,
    inference(connection,[status(thm),parent(t370:1)],[t370:1,t328:22]) ).

cnf(t372,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(extension,[status(thm),parent(t328:23)],[f_53_16]) ).

cnf(t373,plain,
    $false,
    inference(connection,[status(thm),parent(t372:1)],[t372:1,t328:23]) ).

cnf(t374,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(extension,[status(thm),parent(t328:24)],[f_53_15]) ).

cnf(t375,plain,
    $false,
    inference(connection,[status(thm),parent(t374:1)],[t374:1,t328:24]) ).

cnf(t376,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(extension,[status(thm),parent(t328:25)],[f_53_14]) ).

cnf(t377,plain,
    $false,
    inference(connection,[status(thm),parent(t376:1)],[t376:1,t328:25]) ).

cnf(t378,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(extension,[status(thm),parent(t328:26)],[f_53_13]) ).

cnf(t379,plain,
    $false,
    inference(connection,[status(thm),parent(t378:1)],[t378:1,t328:26]) ).

cnf(t380,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(extension,[status(thm),parent(t328:27)],[f_53_12]) ).

cnf(t381,plain,
    $false,
    inference(connection,[status(thm),parent(t380:1)],[t380:1,t328:27]) ).

cnf(t382,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(extension,[status(thm),parent(t328:28)],[f_53_11]) ).

cnf(t383,plain,
    $false,
    inference(connection,[status(thm),parent(t382:1)],[t382:1,t328:28]) ).

cnf(t384,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(extension,[status(thm),parent(t328:29)],[f_53_10]) ).

cnf(t385,plain,
    $false,
    inference(connection,[status(thm),parent(t384:1)],[t384:1,t328:29]) ).

cnf(t386,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(extension,[status(thm),parent(t328:30)],[f_53_9]) ).

cnf(t387,plain,
    $false,
    inference(connection,[status(thm),parent(t386:1)],[t386:1,t328:30]) ).

cnf(t388,plain,
    a_select2(rho_defuse,n2) = use,
    inference(extension,[status(thm),parent(t328:31)],[f_53_8]) ).

cnf(t389,plain,
    $false,
    inference(connection,[status(thm),parent(t388:1)],[t388:1,t328:31]) ).

cnf(t390,plain,
    a_select2(rho_defuse,n1) = use,
    inference(extension,[status(thm),parent(t328:32)],[f_53_7]) ).

cnf(t391,plain,
    $false,
    inference(connection,[status(thm),parent(t390:1)],[t390:1,t328:32]) ).

cnf(t392,plain,
    ( a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv51)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(pv51,minus(n6,n1))
    | a_select2(rho_defuse,n0) != use
    | leq(sK28,n2) ),
    inference(extension,[status(thm),parent(t262:4)],[f_53_41]) ).

cnf(t393,plain,
    $false,
    inference(connection,[status(thm),parent(t392:1)],[t392:1,t262:4]) ).

cnf(t394,plain,
    a_select2(rho_defuse,n0) = use,
    inference(lemma_extension,[status(thm),parent(t392:2)],[l1:1]) ).

cnf(t395,plain,
    $false,
    inference(connection,[status(thm),parent(t394:1)],[t394:1,t392:2]) ).

cnf(t396,plain,
    leq(pv51,minus(n6,n1)),
    inference(extension,[status(thm),parent(t392:3)],[f_53_36]) ).

cnf(t397,plain,
    $false,
    inference(connection,[status(thm),parent(t396:1)],[t396:1,t392:3]) ).

cnf(t398,plain,
    leq(pv5,minus(n999,n1)),
    inference(extension,[status(thm),parent(t392:4)],[f_53_35]) ).

cnf(t399,plain,
    $false,
    inference(connection,[status(thm),parent(t398:1)],[t398:1,t392:4]) ).

cnf(t400,plain,
    leq(n0,pv51),
    inference(extension,[status(thm),parent(t392:5)],[f_53_34]) ).

cnf(t401,plain,
    $false,
    inference(connection,[status(thm),parent(t400:1)],[t400:1,t392:5]) ).

cnf(t402,plain,
    leq(n0,pv5),
    inference(extension,[status(thm),parent(t392:6)],[f_53_33]) ).

cnf(t403,plain,
    $false,
    inference(connection,[status(thm),parent(t402:1)],[t402:1,t392:6]) ).

cnf(t404,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(extension,[status(thm),parent(t392:7)],[f_53_32]) ).

cnf(t405,plain,
    $false,
    inference(connection,[status(thm),parent(t404:1)],[t404:1,t392:7]) ).

cnf(t406,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(extension,[status(thm),parent(t392:8)],[f_53_31]) ).

cnf(t407,plain,
    $false,
    inference(connection,[status(thm),parent(t406:1)],[t406:1,t392:8]) ).

cnf(t408,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(extension,[status(thm),parent(t392:9)],[f_53_30]) ).

cnf(t409,plain,
    $false,
    inference(connection,[status(thm),parent(t408:1)],[t408:1,t392:9]) ).

cnf(t410,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(extension,[status(thm),parent(t392:10)],[f_53_29]) ).

cnf(t411,plain,
    $false,
    inference(connection,[status(thm),parent(t410:1)],[t410:1,t392:10]) ).

cnf(t412,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(extension,[status(thm),parent(t392:11)],[f_53_28]) ).

cnf(t413,plain,
    $false,
    inference(connection,[status(thm),parent(t412:1)],[t412:1,t392:11]) ).

cnf(t414,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(extension,[status(thm),parent(t392:12)],[f_53_27]) ).

cnf(t415,plain,
    $false,
    inference(connection,[status(thm),parent(t414:1)],[t414:1,t392:12]) ).

cnf(t416,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(extension,[status(thm),parent(t392:13)],[f_53_26]) ).

cnf(t417,plain,
    $false,
    inference(connection,[status(thm),parent(t416:1)],[t416:1,t392:13]) ).

cnf(t418,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(extension,[status(thm),parent(t392:14)],[f_53_25]) ).

cnf(t419,plain,
    $false,
    inference(connection,[status(thm),parent(t418:1)],[t418:1,t392:14]) ).

cnf(t420,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(extension,[status(thm),parent(t392:15)],[f_53_24]) ).

cnf(t421,plain,
    $false,
    inference(connection,[status(thm),parent(t420:1)],[t420:1,t392:15]) ).

cnf(t422,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(extension,[status(thm),parent(t392:16)],[f_53_23]) ).

cnf(t423,plain,
    $false,
    inference(connection,[status(thm),parent(t422:1)],[t422:1,t392:16]) ).

cnf(t424,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(extension,[status(thm),parent(t392:17)],[f_53_22]) ).

cnf(t425,plain,
    $false,
    inference(connection,[status(thm),parent(t424:1)],[t424:1,t392:17]) ).

cnf(t426,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(extension,[status(thm),parent(t392:18)],[f_53_21]) ).

cnf(t427,plain,
    $false,
    inference(connection,[status(thm),parent(t426:1)],[t426:1,t392:18]) ).

cnf(t428,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(extension,[status(thm),parent(t392:19)],[f_53_20]) ).

cnf(t429,plain,
    $false,
    inference(connection,[status(thm),parent(t428:1)],[t428:1,t392:19]) ).

cnf(t430,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(extension,[status(thm),parent(t392:20)],[f_53_19]) ).

cnf(t431,plain,
    $false,
    inference(connection,[status(thm),parent(t430:1)],[t430:1,t392:20]) ).

cnf(t432,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(extension,[status(thm),parent(t392:21)],[f_53_18]) ).

cnf(t433,plain,
    $false,
    inference(connection,[status(thm),parent(t432:1)],[t432:1,t392:21]) ).

cnf(t434,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(extension,[status(thm),parent(t392:22)],[f_53_17]) ).

cnf(t435,plain,
    $false,
    inference(connection,[status(thm),parent(t434:1)],[t434:1,t392:22]) ).

cnf(t436,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(extension,[status(thm),parent(t392:23)],[f_53_16]) ).

cnf(t437,plain,
    $false,
    inference(connection,[status(thm),parent(t436:1)],[t436:1,t392:23]) ).

cnf(t438,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(extension,[status(thm),parent(t392:24)],[f_53_15]) ).

cnf(t439,plain,
    $false,
    inference(connection,[status(thm),parent(t438:1)],[t438:1,t392:24]) ).

cnf(t440,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(extension,[status(thm),parent(t392:25)],[f_53_14]) ).

cnf(t441,plain,
    $false,
    inference(connection,[status(thm),parent(t440:1)],[t440:1,t392:25]) ).

cnf(t442,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(extension,[status(thm),parent(t392:26)],[f_53_13]) ).

cnf(t443,plain,
    $false,
    inference(connection,[status(thm),parent(t442:1)],[t442:1,t392:26]) ).

cnf(t444,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(extension,[status(thm),parent(t392:27)],[f_53_12]) ).

cnf(t445,plain,
    $false,
    inference(connection,[status(thm),parent(t444:1)],[t444:1,t392:27]) ).

cnf(t446,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(extension,[status(thm),parent(t392:28)],[f_53_11]) ).

cnf(t447,plain,
    $false,
    inference(connection,[status(thm),parent(t446:1)],[t446:1,t392:28]) ).

cnf(t448,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(extension,[status(thm),parent(t392:29)],[f_53_10]) ).

cnf(t449,plain,
    $false,
    inference(connection,[status(thm),parent(t448:1)],[t448:1,t392:29]) ).

cnf(t450,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(extension,[status(thm),parent(t392:30)],[f_53_9]) ).

cnf(t451,plain,
    $false,
    inference(connection,[status(thm),parent(t450:1)],[t450:1,t392:30]) ).

cnf(t452,plain,
    a_select2(rho_defuse,n2) = use,
    inference(extension,[status(thm),parent(t392:31)],[f_53_8]) ).

cnf(t453,plain,
    $false,
    inference(connection,[status(thm),parent(t452:1)],[t452:1,t392:31]) ).

cnf(t454,plain,
    a_select2(rho_defuse,n1) = use,
    inference(extension,[status(thm),parent(t392:32)],[f_53_7]) ).

cnf(t455,plain,
    $false,
    inference(connection,[status(thm),parent(t454:1)],[t454:1,t392:32]) ).

cnf(t456,plain,
    ( a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(n0,pv51)
    | ~ leq(pv5,minus(n999,n1))
    | ~ leq(pv51,minus(n6,n1))
    | a_select2(rho_defuse,n0) != use
    | leq(n0,sK29) ),
    inference(extension,[status(thm),parent(t262:5)],[f_53_40]) ).

cnf(t457,plain,
    $false,
    inference(connection,[status(thm),parent(t456:1)],[t456:1,t262:5]) ).

cnf(t458,plain,
    a_select2(rho_defuse,n0) = use,
    inference(lemma_extension,[status(thm),parent(t456:2)],[l1:1]) ).

cnf(t459,plain,
    $false,
    inference(connection,[status(thm),parent(t458:1)],[t458:1,t456:2]) ).

cnf(t460,plain,
    leq(pv51,minus(n6,n1)),
    inference(extension,[status(thm),parent(t456:3)],[f_53_36]) ).

cnf(t461,plain,
    $false,
    inference(connection,[status(thm),parent(t460:1)],[t460:1,t456:3]) ).

cnf(t462,plain,
    leq(pv5,minus(n999,n1)),
    inference(extension,[status(thm),parent(t456:4)],[f_53_35]) ).

cnf(t463,plain,
    $false,
    inference(connection,[status(thm),parent(t462:1)],[t462:1,t456:4]) ).

cnf(t464,plain,
    leq(n0,pv51),
    inference(extension,[status(thm),parent(t456:5)],[f_53_34]) ).

cnf(t465,plain,
    $false,
    inference(connection,[status(thm),parent(t464:1)],[t464:1,t456:5]) ).

cnf(t466,plain,
    leq(n0,pv5),
    inference(extension,[status(thm),parent(t456:6)],[f_53_33]) ).

cnf(t467,plain,
    $false,
    inference(connection,[status(thm),parent(t466:1)],[t466:1,t456:6]) ).

cnf(t468,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(extension,[status(thm),parent(t456:7)],[f_53_32]) ).

cnf(t469,plain,
    $false,
    inference(connection,[status(thm),parent(t468:1)],[t468:1,t456:7]) ).

cnf(t470,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(extension,[status(thm),parent(t456:8)],[f_53_31]) ).

cnf(t471,plain,
    $false,
    inference(connection,[status(thm),parent(t470:1)],[t470:1,t456:8]) ).

cnf(t472,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(extension,[status(thm),parent(t456:9)],[f_53_30]) ).

cnf(t473,plain,
    $false,
    inference(connection,[status(thm),parent(t472:1)],[t472:1,t456:9]) ).

cnf(t474,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(extension,[status(thm),parent(t456:10)],[f_53_29]) ).

cnf(t475,plain,
    $false,
    inference(connection,[status(thm),parent(t474:1)],[t474:1,t456:10]) ).

cnf(t476,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(extension,[status(thm),parent(t456:11)],[f_53_28]) ).

cnf(t477,plain,
    $false,
    inference(connection,[status(thm),parent(t476:1)],[t476:1,t456:11]) ).

cnf(t478,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(extension,[status(thm),parent(t456:12)],[f_53_27]) ).

cnf(t479,plain,
    $false,
    inference(connection,[status(thm),parent(t478:1)],[t478:1,t456:12]) ).

cnf(t480,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(extension,[status(thm),parent(t456:13)],[f_53_26]) ).

cnf(t481,plain,
    $false,
    inference(connection,[status(thm),parent(t480:1)],[t480:1,t456:13]) ).

cnf(t482,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(extension,[status(thm),parent(t456:14)],[f_53_25]) ).

cnf(t483,plain,
    $false,
    inference(connection,[status(thm),parent(t482:1)],[t482:1,t456:14]) ).

cnf(t484,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(extension,[status(thm),parent(t456:15)],[f_53_24]) ).

cnf(t485,plain,
    $false,
    inference(connection,[status(thm),parent(t484:1)],[t484:1,t456:15]) ).

cnf(t486,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(extension,[status(thm),parent(t456:16)],[f_53_23]) ).

cnf(t487,plain,
    $false,
    inference(connection,[status(thm),parent(t486:1)],[t486:1,t456:16]) ).

cnf(t488,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(extension,[status(thm),parent(t456:17)],[f_53_22]) ).

cnf(t489,plain,
    $false,
    inference(connection,[status(thm),parent(t488:1)],[t488:1,t456:17]) ).

cnf(t490,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(extension,[status(thm),parent(t456:18)],[f_53_21]) ).

cnf(t491,plain,
    $false,
    inference(connection,[status(thm),parent(t490:1)],[t490:1,t456:18]) ).

cnf(t492,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(extension,[status(thm),parent(t456:19)],[f_53_20]) ).

cnf(t493,plain,
    $false,
    inference(connection,[status(thm),parent(t492:1)],[t492:1,t456:19]) ).

cnf(t494,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(extension,[status(thm),parent(t456:20)],[f_53_19]) ).

cnf(t495,plain,
    $false,
    inference(connection,[status(thm),parent(t494:1)],[t494:1,t456:20]) ).

cnf(t496,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(extension,[status(thm),parent(t456:21)],[f_53_18]) ).

cnf(t497,plain,
    $false,
    inference(connection,[status(thm),parent(t496:1)],[t496:1,t456:21]) ).

cnf(t498,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(extension,[status(thm),parent(t456:22)],[f_53_17]) ).

cnf(t499,plain,
    $false,
    inference(connection,[status(thm),parent(t498:1)],[t498:1,t456:22]) ).

cnf(t500,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(extension,[status(thm),parent(t456:23)],[f_53_16]) ).

cnf(t501,plain,
    $false,
    inference(connection,[status(thm),parent(t500:1)],[t500:1,t456:23]) ).

cnf(t502,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(extension,[status(thm),parent(t456:24)],[f_53_15]) ).

cnf(t503,plain,
    $false,
    inference(connection,[status(thm),parent(t502:1)],[t502:1,t456:24]) ).

cnf(t504,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(extension,[status(thm),parent(t456:25)],[f_53_14]) ).

cnf(t505,plain,
    $false,
    inference(connection,[status(thm),parent(t504:1)],[t504:1,t456:25]) ).

cnf(t506,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(extension,[status(thm),parent(t456:26)],[f_53_13]) ).

cnf(t507,plain,
    $false,
    inference(connection,[status(thm),parent(t506:1)],[t506:1,t456:26]) ).

cnf(t508,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(extension,[status(thm),parent(t456:27)],[f_53_12]) ).

cnf(t509,plain,
    $false,
    inference(connection,[status(thm),parent(t508:1)],[t508:1,t456:27]) ).

cnf(t510,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(extension,[status(thm),parent(t456:28)],[f_53_11]) ).

cnf(t511,plain,
    $false,
    inference(connection,[status(thm),parent(t510:1)],[t510:1,t456:28]) ).

cnf(t512,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(extension,[status(thm),parent(t456:29)],[f_53_10]) ).

cnf(t513,plain,
    $false,
    inference(connection,[status(thm),parent(t512:1)],[t512:1,t456:29]) ).

cnf(t514,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(extension,[status(thm),parent(t456:30)],[f_53_9]) ).

cnf(t515,plain,
    $false,
    inference(connection,[status(thm),parent(t514:1)],[t514:1,t456:30]) ).

cnf(t516,plain,
    a_select2(rho_defuse,n2) = use,
    inference(extension,[status(thm),parent(t456:31)],[f_53_8]) ).

cnf(t517,plain,
    $false,
    inference(connection,[status(thm),parent(t516:1)],[t516:1,t456:31]) ).

cnf(t518,plain,
    a_select2(rho_defuse,n1) = use,
    inference(extension,[status(thm),parent(t456:32)],[f_53_7]) ).

cnf(t519,plain,
    $false,
    inference(connection,[status(thm),parent(t518:1)],[t518:1,t456:32]) ).

cnf(t520,plain,
    leq(pv51,minus(n6,n1)),
    inference(extension,[status(thm),parent(t1:4)],[f_53_36]) ).

cnf(t521,plain,
    $false,
    inference(connection,[status(thm),parent(t520:1)],[t520:1,t1:4]) ).

cnf(t522,plain,
    leq(pv5,minus(n999,n1)),
    inference(extension,[status(thm),parent(t1:5)],[f_53_35]) ).

cnf(t523,plain,
    $false,
    inference(connection,[status(thm),parent(t522:1)],[t522:1,t1:5]) ).

cnf(t524,plain,
    leq(n0,pv51),
    inference(extension,[status(thm),parent(t1:6)],[f_53_34]) ).

cnf(t525,plain,
    $false,
    inference(connection,[status(thm),parent(t524:1)],[t524:1,t1:6]) ).

cnf(t526,plain,
    leq(n0,pv5),
    inference(extension,[status(thm),parent(t1:7)],[f_53_33]) ).

cnf(t527,plain,
    $false,
    inference(connection,[status(thm),parent(t526:1)],[t526:1,t1:7]) ).

cnf(t528,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(extension,[status(thm),parent(t1:8)],[f_53_32]) ).

cnf(t529,plain,
    $false,
    inference(connection,[status(thm),parent(t528:1)],[t528:1,t1:8]) ).

cnf(t530,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(extension,[status(thm),parent(t1:9)],[f_53_31]) ).

cnf(t531,plain,
    $false,
    inference(connection,[status(thm),parent(t530:1)],[t530:1,t1:9]) ).

cnf(t532,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(extension,[status(thm),parent(t1:10)],[f_53_30]) ).

cnf(t533,plain,
    $false,
    inference(connection,[status(thm),parent(t532:1)],[t532:1,t1:10]) ).

cnf(t534,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(extension,[status(thm),parent(t1:11)],[f_53_29]) ).

cnf(t535,plain,
    $false,
    inference(connection,[status(thm),parent(t534:1)],[t534:1,t1:11]) ).

cnf(t536,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(extension,[status(thm),parent(t1:12)],[f_53_28]) ).

cnf(t537,plain,
    $false,
    inference(connection,[status(thm),parent(t536:1)],[t536:1,t1:12]) ).

cnf(t538,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(extension,[status(thm),parent(t1:13)],[f_53_27]) ).

cnf(t539,plain,
    $false,
    inference(connection,[status(thm),parent(t538:1)],[t538:1,t1:13]) ).

cnf(t540,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(extension,[status(thm),parent(t1:14)],[f_53_26]) ).

cnf(t541,plain,
    $false,
    inference(connection,[status(thm),parent(t540:1)],[t540:1,t1:14]) ).

cnf(t542,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(extension,[status(thm),parent(t1:15)],[f_53_25]) ).

cnf(t543,plain,
    $false,
    inference(connection,[status(thm),parent(t542:1)],[t542:1,t1:15]) ).

cnf(t544,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(extension,[status(thm),parent(t1:16)],[f_53_24]) ).

cnf(t545,plain,
    $false,
    inference(connection,[status(thm),parent(t544:1)],[t544:1,t1:16]) ).

cnf(t546,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(extension,[status(thm),parent(t1:17)],[f_53_23]) ).

cnf(t547,plain,
    $false,
    inference(connection,[status(thm),parent(t546:1)],[t546:1,t1:17]) ).

cnf(t548,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(extension,[status(thm),parent(t1:18)],[f_53_22]) ).

cnf(t549,plain,
    $false,
    inference(connection,[status(thm),parent(t548:1)],[t548:1,t1:18]) ).

cnf(t550,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(extension,[status(thm),parent(t1:19)],[f_53_21]) ).

cnf(t551,plain,
    $false,
    inference(connection,[status(thm),parent(t550:1)],[t550:1,t1:19]) ).

cnf(t552,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(extension,[status(thm),parent(t1:20)],[f_53_20]) ).

cnf(t553,plain,
    $false,
    inference(connection,[status(thm),parent(t552:1)],[t552:1,t1:20]) ).

cnf(t554,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(extension,[status(thm),parent(t1:21)],[f_53_19]) ).

cnf(t555,plain,
    $false,
    inference(connection,[status(thm),parent(t554:1)],[t554:1,t1:21]) ).

cnf(t556,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(extension,[status(thm),parent(t1:22)],[f_53_18]) ).

cnf(t557,plain,
    $false,
    inference(connection,[status(thm),parent(t556:1)],[t556:1,t1:22]) ).

cnf(t558,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(extension,[status(thm),parent(t1:23)],[f_53_17]) ).

cnf(t559,plain,
    $false,
    inference(connection,[status(thm),parent(t558:1)],[t558:1,t1:23]) ).

cnf(t560,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(extension,[status(thm),parent(t1:24)],[f_53_16]) ).

cnf(t561,plain,
    $false,
    inference(connection,[status(thm),parent(t560:1)],[t560:1,t1:24]) ).

cnf(t562,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(extension,[status(thm),parent(t1:25)],[f_53_15]) ).

cnf(t563,plain,
    $false,
    inference(connection,[status(thm),parent(t562:1)],[t562:1,t1:25]) ).

cnf(t564,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(extension,[status(thm),parent(t1:26)],[f_53_14]) ).

cnf(t565,plain,
    $false,
    inference(connection,[status(thm),parent(t564:1)],[t564:1,t1:26]) ).

cnf(t566,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(extension,[status(thm),parent(t1:27)],[f_53_13]) ).

cnf(t567,plain,
    $false,
    inference(connection,[status(thm),parent(t566:1)],[t566:1,t1:27]) ).

cnf(t568,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(extension,[status(thm),parent(t1:28)],[f_53_12]) ).

cnf(t569,plain,
    $false,
    inference(connection,[status(thm),parent(t568:1)],[t568:1,t1:28]) ).

cnf(t570,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(extension,[status(thm),parent(t1:29)],[f_53_11]) ).

cnf(t571,plain,
    $false,
    inference(connection,[status(thm),parent(t570:1)],[t570:1,t1:29]) ).

cnf(t572,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(extension,[status(thm),parent(t1:30)],[f_53_10]) ).

cnf(t573,plain,
    $false,
    inference(connection,[status(thm),parent(t572:1)],[t572:1,t1:30]) ).

cnf(t574,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(extension,[status(thm),parent(t1:31)],[f_53_9]) ).

cnf(t575,plain,
    $false,
    inference(connection,[status(thm),parent(t574:1)],[t574:1,t1:31]) ).

cnf(t576,plain,
    a_select2(rho_defuse,n2) = use,
    inference(extension,[status(thm),parent(t1:32)],[f_53_8]) ).

cnf(t577,plain,
    $false,
    inference(connection,[status(thm),parent(t576:1)],[t576:1,t1:32]) ).

cnf(t578,plain,
    a_select2(rho_defuse,n1) = use,
    inference(extension,[status(thm),parent(t1:33)],[f_53_7]) ).

cnf(t579,plain,
    $false,
    inference(connection,[status(thm),parent(t578:1)],[t578:1,t1:33]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV095+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03  This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.39  % Computer : n016.cluster.edu
% 0.09/5.39  % Model    : x86_64 x86_64
% 0.09/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.39  % Memory   : 8046.5625MB
% 0.09/5.39  % OS       : Linux 6.8.0-71-generic
% 0.09/5.39  % CPULimit : 300
% 0.09/5.39  % WCLimit  : 300
% 0.09/5.39  % DateTime : Sun Sep 20 03:09:12 UTC 2026
% 0.09/5.39  % CPUTime  : 
% 75.64/80.95  % SZS status Theorem for theBenchmark
% 75.64/80.95  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------