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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 02:46:37 PM UTC 2026

% Result   : Theorem 0.18s 0.54s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :    7
% Syntax   : Number of formulae    :  115 (  42 unt;   0 def)
%            Number of atoms       : 1936 (1826 equ)
%            Maximal formula atoms :   60 (  16 avg)
%            Number of connectives : 3464 (1643   ~;1636   |; 179   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   63 (  17 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  17 con; 0-3 aty)
%            Number of variables   :   36 (  34   !;   2   ?)

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

fof(f5,axiom,
    ! [X,Y,Z] :
      ( ( leq(Y,Z)
        & leq(X,Y) )
     => leq(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,Y] :
      ( leq(X,Y)
    <=> gt(succ(Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f40,axiom,
    ! [X] : pred(succ(X)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f91,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f93,plain,
    ! [X,Y,Z] :
      ( leq(X,Z)
      | ~ leq(Y,Z)
      | ~ leq(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f94,plain,
    ! [X,Z] :
      ( leq(X,Z)
      | ! [Y] :
          ( ~ leq(Y,Z)
          | ~ leq(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f93]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f115,plain,
    ! [X,Y] :
      ( ( ~ gt(succ(Y),X)
        | leq(X,Y) )
      & ( gt(succ(Y),X)
        | ~ leq(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f13]) ).

fof(f116,plain,
    ( ! [X,Y] :
        ( ~ gt(succ(Y),X)
        | leq(X,Y) )
    & ! [X,Y] :
        ( gt(succ(Y),X)
        | ~ leq(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f115]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( gt(succ(X1),X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f116]) ).

fof(f199,plain,
    succ(tptp_minus_1) = n0,
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f210,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f211,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f244,plain,
    ( ( ? [A,B] :
          ( ( a_select3(z_defuse,A,B) != use
            | a_select3(u_defuse,A,B) != use )
          & leq(B,minus(n0,n1))
          & leq(A,n2)
          & leq(n0,B)
          & leq(n0,A) )
      | a_select2(xinit_noise_defuse,n5) != use
      | a_select2(xinit_noise_defuse,n4) != use
      | a_select2(xinit_noise_defuse,n3) != use
      | a_select2(xinit_noise_defuse,n2) != use
      | a_select2(xinit_noise_defuse,n1) != use
      | a_select2(xinit_noise_defuse,n0) != use
      | a_select2(xinit_mean_defuse,n5) != use
      | a_select2(xinit_mean_defuse,n4) != use
      | a_select2(xinit_mean_defuse,n3) != use
      | a_select2(xinit_mean_defuse,n2) != use
      | a_select2(xinit_mean_defuse,n1) != use
      | a_select2(xinit_mean_defuse,n0) != use
      | a_select2(xinit_defuse,n5) != use
      | a_select2(xinit_defuse,n4) != use
      | a_select2(xinit_defuse,n3) != use
      | a_select3(u_defuse,n2,n0) != use
      | a_select3(u_defuse,n1,n0) != use
      | a_select3(u_defuse,n0,n0) != use
      | a_select2(sigma_defuse,n5) != use
      | a_select2(sigma_defuse,n4) != use
      | a_select2(sigma_defuse,n3) != use
      | a_select2(sigma_defuse,n2) != use
      | a_select2(sigma_defuse,n1) != use
      | a_select2(sigma_defuse,n0) != use
      | a_select2(rho_defuse,n2) != use
      | a_select2(rho_defuse,n1) != use
      | a_select2(rho_defuse,n0) != use )
    & a_select2(xinit_noise_defuse,n5) = use
    & a_select2(xinit_noise_defuse,n4) = use
    & a_select2(xinit_noise_defuse,n3) = use
    & a_select2(xinit_noise_defuse,n2) = use
    & a_select2(xinit_noise_defuse,n1) = use
    & a_select2(xinit_noise_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n4) = use
    & a_select2(xinit_mean_defuse,n3) = use
    & a_select2(xinit_mean_defuse,n2) = use
    & a_select2(xinit_mean_defuse,n1) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n0) = use ),
    inference(pre_NNF_transformation,[status(thm)],[f54]) ).

fof(f245,plain,
    ( ( ( ( a_select3(z_defuse,sK23_skl,sK24_skl) != use
          | a_select3(u_defuse,sK23_skl,sK24_skl) != use )
        & leq(sK24_skl,minus(n0,n1))
        & leq(sK23_skl,n2)
        & leq(n0,sK24_skl)
        & leq(n0,sK23_skl) )
      | a_select2(xinit_noise_defuse,n5) != use
      | a_select2(xinit_noise_defuse,n4) != use
      | a_select2(xinit_noise_defuse,n3) != use
      | a_select2(xinit_noise_defuse,n2) != use
      | a_select2(xinit_noise_defuse,n1) != use
      | a_select2(xinit_noise_defuse,n0) != use
      | a_select2(xinit_mean_defuse,n5) != use
      | a_select2(xinit_mean_defuse,n4) != use
      | a_select2(xinit_mean_defuse,n3) != use
      | a_select2(xinit_mean_defuse,n2) != use
      | a_select2(xinit_mean_defuse,n1) != use
      | a_select2(xinit_mean_defuse,n0) != use
      | a_select2(xinit_defuse,n5) != use
      | a_select2(xinit_defuse,n4) != use
      | a_select2(xinit_defuse,n3) != use
      | a_select3(u_defuse,n2,n0) != use
      | a_select3(u_defuse,n1,n0) != use
      | a_select3(u_defuse,n0,n0) != use
      | a_select2(sigma_defuse,n5) != use
      | a_select2(sigma_defuse,n4) != use
      | a_select2(sigma_defuse,n3) != use
      | a_select2(sigma_defuse,n2) != use
      | a_select2(sigma_defuse,n1) != use
      | a_select2(sigma_defuse,n0) != use
      | a_select2(rho_defuse,n2) != use
      | a_select2(rho_defuse,n1) != use
      | a_select2(rho_defuse,n0) != use )
    & a_select2(xinit_noise_defuse,n5) = use
    & a_select2(xinit_noise_defuse,n4) = use
    & a_select2(xinit_noise_defuse,n3) = use
    & a_select2(xinit_noise_defuse,n2) = use
    & a_select2(xinit_noise_defuse,n1) = use
    & a_select2(xinit_noise_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n4) = use
    & a_select2(xinit_mean_defuse,n3) = use
    & a_select2(xinit_mean_defuse,n2) = use
    & a_select2(xinit_mean_defuse,n1) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n0) = use ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(A,sK23_skl),skolemize(B,sK24_skl)],[f244]) ).

fof(f246,plain,
    a_select2(rho_defuse,n0) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f247,plain,
    a_select2(rho_defuse,n1) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f248,plain,
    a_select2(rho_defuse,n2) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f249,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f250,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f251,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f252,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f253,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f254,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f255,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f256,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f257,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f258,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f259,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f260,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f261,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f262,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f263,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f264,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f265,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f266,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f267,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f268,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f269,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f270,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f271,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f272,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f274,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use ),
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f276,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use ),
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f358,plain,
    pred(n0) = tptp_minus_1,
    inference(paramodulation,[status(thm)],[f199,f211]) ).

fof(f470,plain,
    ! [X0] : ~ leq(succ(X0),X0),
    inference(resolution,[status(thm)],[f117,f91]) ).

fof(f516,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(rho_defuse,n1) != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f246,f274]) ).

fof(f517,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f247,f516]) ).

fof(f518,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f248,f517]) ).

fof(f519,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f249,f518]) ).

fof(f520,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f250,f519]) ).

fof(f521,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f251,f520]) ).

fof(f522,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f252,f521]) ).

fof(f523,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f253,f522]) ).

fof(f524,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f254,f523]) ).

fof(f525,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f255,f524]) ).

fof(f526,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f256,f525]) ).

fof(f527,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f257,f526]) ).

fof(f528,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f258,f527]) ).

fof(f529,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f259,f528]) ).

fof(f530,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f260,f529]) ).

fof(f531,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f261,f530]) ).

fof(f532,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f262,f531]) ).

fof(f533,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f263,f532]) ).

fof(f534,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f264,f533]) ).

fof(f535,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f265,f534]) ).

fof(f536,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f266,f535]) ).

fof(f537,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f267,f536]) ).

fof(f538,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f268,f537]) ).

fof(f539,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f269,f538]) ).

fof(f540,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f270,f539]) ).

fof(f541,plain,
    ( leq(n0,sK24_skl)
    | a_select2(xinit_noise_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f271,f540]) ).

fof(f542,plain,
    ( leq(n0,sK24_skl)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f272,f541]) ).

fof(f543,plain,
    ( leq(n0,sK24_skl)
    | use != use ),
    inference(duplicate_literals_removal,[status(thm)],[f542]) ).

fof(f544,plain,
    leq(n0,sK24_skl),
    inference(trivial_equality_resolution,[status(thm)],[f543]) ).

fof(f601,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(rho_defuse,n1) != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f246,f276]) ).

fof(f602,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f247,f601]) ).

fof(f603,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f248,f602]) ).

fof(f604,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n1) != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f249,f603]) ).

fof(f605,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n2) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f250,f604]) ).

fof(f606,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f251,f605]) ).

fof(f607,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(sigma_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f252,f606]) ).

fof(f608,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select2(sigma_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f253,f607]) ).

fof(f609,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f254,f608]) ).

fof(f610,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f255,f609]) ).

fof(f611,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select3(u_defuse,n2,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f256,f610]) ).

fof(f612,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f257,f611]) ).

fof(f613,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f258,f612]) ).

fof(f614,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f259,f613]) ).

fof(f615,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f260,f614]) ).

fof(f616,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f261,f615]) ).

fof(f617,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f262,f616]) ).

fof(f618,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f263,f617]) ).

fof(f619,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f264,f618]) ).

fof(f620,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f265,f619]) ).

fof(f621,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f266,f620]) ).

fof(f622,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f267,f621]) ).

fof(f623,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f268,f622]) ).

fof(f624,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f269,f623]) ).

fof(f625,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f270,f624]) ).

fof(f626,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | a_select2(xinit_noise_defuse,n5) != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f271,f625]) ).

fof(f627,plain,
    ( leq(sK24_skl,minus(n0,n1))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f272,f626]) ).

fof(f628,plain,
    ( leq(sK24_skl,pred(n0))
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f210,f627]) ).

fof(f629,plain,
    ( leq(sK24_skl,tptp_minus_1)
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use
    | use != use ),
    inference(forward_demodulation,[status(thm)],[f358,f628]) ).

fof(f630,plain,
    ( leq(sK24_skl,tptp_minus_1)
    | use != use ),
    inference(duplicate_literals_removal,[status(thm)],[f629]) ).

fof(f631,plain,
    leq(sK24_skl,tptp_minus_1),
    inference(trivial_equality_resolution,[status(thm)],[f630]) ).

fof(f632,plain,
    ! [X0] :
      ( leq(X0,tptp_minus_1)
      | ~ leq(X0,sK24_skl) ),
    inference(resolution,[status(thm)],[f631,f95]) ).

fof(f648,plain,
    ~ leq(n0,tptp_minus_1),
    inference(paramodulation,[status(thm)],[f199,f470]) ).

fof(f819,plain,
    leq(n0,tptp_minus_1),
    inference(resolution,[status(thm)],[f632,f544]) ).

fof(f824,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f819,f648]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  % Computer : n019.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 21 08:30:35 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.41  % Drodi V4.1.1
% 0.18/0.54  % Refutation found
% 0.18/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.59  % Elapsed time: 0.192383 seconds
% 0.18/0.59  % CPU time: 0.859826 seconds
% 0.18/0.59  % Total memory used: 118.967 MB
% 0.18/0.59  % Net memory used: 117.766 MB
%------------------------------------------------------------------------------