TSTP Solution File: SWV097+1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV097+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:45:58 EDT 2024

% Result   : Theorem 0.15s 0.46s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   55
% Syntax   : Number of formulae    :  286 (  78 unt;   0 def)
%            Number of atoms       : 1241 ( 572 equ)
%            Maximal formula atoms :   82 (   4 avg)
%            Number of connectives : 1538 ( 583   ~; 621   |; 275   &)
%                                         (  47 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   70 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   52 (  50 usr;  48 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  20 con; 0-3 aty)
%            Number of variables   :   76 (  68   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X] : leq(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Y] :
      ( gt(Y,X)
     => leq(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f53,conjecture,
    ( ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,minus(n999,n1))
      & ! [A,B] :
          ( ( leq(n0,A)
            & leq(n0,B)
            & leq(A,n2)
            & leq(B,pv5) )
         => ( a_select3(u_defuse,A,B) = use
            & a_select3(z_defuse,A,B) = use ) )
      & ! [C,D] :
          ( ( leq(n0,C)
            & leq(n0,D)
            & leq(C,n2)
            & leq(D,minus(pv5,n1)) )
         => ( a_select3(u_defuse,C,D) = use
            & a_select3(z_defuse,C,D) = use ) ) )
   => ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,minus(n999,n1))
      & ! [E,F] :
          ( ( leq(n0,E)
            & leq(n0,F)
            & leq(E,n2)
            & leq(F,pv5) )
         => ( a_select3(u_defuse,E,F) = use
            & a_select3(z_defuse,E,F) = use ) )
      & ! [G,H] :
          ( ( leq(n0,G)
            & leq(n0,H)
            & leq(G,n2)
            & leq(H,minus(pv5,n1)) )
         => ( a_select3(u_defuse,G,H) = use
            & a_select3(z_defuse,G,H) = use ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ~ ( ( a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = use
        & a_select2(xinit_mean_defuse,n2) = use
        & a_select2(xinit_mean_defuse,n3) = use
        & a_select2(xinit_mean_defuse,n4) = use
        & a_select2(xinit_mean_defuse,n5) = use
        & a_select2(xinit_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = use
        & a_select2(xinit_noise_defuse,n2) = use
        & a_select2(xinit_noise_defuse,n3) = use
        & a_select2(xinit_noise_defuse,n4) = use
        & a_select2(xinit_noise_defuse,n5) = use
        & leq(n0,pv5)
        & leq(pv5,minus(n999,n1))
        & ! [A,B] :
            ( ( leq(n0,A)
              & leq(n0,B)
              & leq(A,n2)
              & leq(B,pv5) )
           => ( a_select3(u_defuse,A,B) = use
              & a_select3(z_defuse,A,B) = use ) )
        & ! [C,D] :
            ( ( leq(n0,C)
              & leq(n0,D)
              & leq(C,n2)
              & leq(D,minus(pv5,n1)) )
           => ( a_select3(u_defuse,C,D) = use
              & a_select3(z_defuse,C,D) = use ) ) )
     => ( a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = use
        & a_select2(xinit_mean_defuse,n2) = use
        & a_select2(xinit_mean_defuse,n3) = use
        & a_select2(xinit_mean_defuse,n4) = use
        & a_select2(xinit_mean_defuse,n5) = use
        & a_select2(xinit_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = use
        & a_select2(xinit_noise_defuse,n2) = use
        & a_select2(xinit_noise_defuse,n3) = use
        & a_select2(xinit_noise_defuse,n4) = use
        & a_select2(xinit_noise_defuse,n5) = use
        & leq(n0,pv5)
        & leq(pv5,minus(n999,n1))
        & ! [E,F] :
            ( ( leq(n0,E)
              & leq(n0,F)
              & leq(E,n2)
              & leq(F,pv5) )
           => ( a_select3(u_defuse,E,F) = use
              & a_select3(z_defuse,E,F) = use ) )
        & ! [G,H] :
            ( ( leq(n0,G)
              & leq(n0,H)
              & leq(G,n2)
              & leq(H,minus(pv5,n1)) )
           => ( a_select3(u_defuse,G,H) = use
              & a_select3(z_defuse,G,H) = use ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f68,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f69,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f74,axiom,
    gt(n2,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f111,plain,
    ! [X,Y] :
      ( ~ gt(Y,X)
      | leq(X,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | leq(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f111]) ).

fof(f217,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f251,plain,
    ( a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = use
    & a_select2(xinit_mean_defuse,n2) = use
    & a_select2(xinit_mean_defuse,n3) = use
    & a_select2(xinit_mean_defuse,n4) = use
    & a_select2(xinit_mean_defuse,n5) = use
    & a_select2(xinit_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = use
    & a_select2(xinit_noise_defuse,n2) = use
    & a_select2(xinit_noise_defuse,n3) = use
    & a_select2(xinit_noise_defuse,n4) = use
    & a_select2(xinit_noise_defuse,n5) = use
    & leq(n0,pv5)
    & leq(pv5,minus(n999,n1))
    & ! [A,B] :
        ( ~ leq(n0,A)
        | ~ leq(n0,B)
        | ~ leq(A,n2)
        | ~ leq(B,pv5)
        | ( a_select3(u_defuse,A,B) = use
          & a_select3(z_defuse,A,B) = use ) )
    & ! [C,D] :
        ( ~ leq(n0,C)
        | ~ leq(n0,D)
        | ~ leq(C,n2)
        | ~ leq(D,minus(pv5,n1))
        | ( a_select3(u_defuse,C,D) = use
          & a_select3(z_defuse,C,D) = use ) )
    & ( a_select2(rho_defuse,n0) != use
      | a_select2(rho_defuse,n1) != use
      | a_select2(rho_defuse,n2) != use
      | a_select2(sigma_defuse,n0) != use
      | a_select2(sigma_defuse,n1) != use
      | a_select2(sigma_defuse,n2) != use
      | a_select2(sigma_defuse,n3) != use
      | a_select2(sigma_defuse,n4) != use
      | a_select2(sigma_defuse,n5) != use
      | a_select3(u_defuse,n0,n0) != use
      | a_select3(u_defuse,n1,n0) != use
      | a_select3(u_defuse,n2,n0) != use
      | a_select2(xinit_defuse,n3) != use
      | a_select2(xinit_defuse,n4) != use
      | a_select2(xinit_defuse,n5) != use
      | a_select2(xinit_mean_defuse,n0) != use
      | a_select2(xinit_mean_defuse,n1) != use
      | a_select2(xinit_mean_defuse,n2) != use
      | a_select2(xinit_mean_defuse,n3) != use
      | a_select2(xinit_mean_defuse,n4) != use
      | a_select2(xinit_mean_defuse,n5) != use
      | a_select2(xinit_noise_defuse,n0) != use
      | a_select2(xinit_noise_defuse,n1) != use
      | a_select2(xinit_noise_defuse,n2) != use
      | a_select2(xinit_noise_defuse,n3) != use
      | a_select2(xinit_noise_defuse,n4) != use
      | a_select2(xinit_noise_defuse,n5) != use
      | ~ leq(n0,pv5)
      | ~ leq(pv5,minus(n999,n1))
      | ? [E,F] :
          ( leq(n0,E)
          & leq(n0,F)
          & leq(E,n2)
          & leq(F,pv5)
          & ( a_select3(u_defuse,E,F) != use
            | a_select3(z_defuse,E,F) != use ) )
      | ? [G,H] :
          ( leq(n0,G)
          & leq(n0,H)
          & leq(G,n2)
          & leq(H,minus(pv5,n1))
          & ( a_select3(u_defuse,G,H) != use
            | a_select3(z_defuse,G,H) != use ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f54]) ).

fof(f252,plain,
    ! [E,F] :
      ( pd0_3(F,E)
     => ( leq(n0,E)
        & leq(n0,F)
        & leq(E,n2)
        & leq(F,pv5)
        & ( a_select3(u_defuse,E,F) != use
          | a_select3(z_defuse,E,F) != use ) ) ),
    introduced(predicate_definition,[f251]) ).

fof(f253,plain,
    ( a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = use
    & a_select2(xinit_mean_defuse,n2) = use
    & a_select2(xinit_mean_defuse,n3) = use
    & a_select2(xinit_mean_defuse,n4) = use
    & a_select2(xinit_mean_defuse,n5) = use
    & a_select2(xinit_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = use
    & a_select2(xinit_noise_defuse,n2) = use
    & a_select2(xinit_noise_defuse,n3) = use
    & a_select2(xinit_noise_defuse,n4) = use
    & a_select2(xinit_noise_defuse,n5) = use
    & leq(n0,pv5)
    & leq(pv5,minus(n999,n1))
    & ! [A,B] :
        ( ~ leq(n0,A)
        | ~ leq(n0,B)
        | ~ leq(A,n2)
        | ~ leq(B,pv5)
        | ( a_select3(u_defuse,A,B) = use
          & a_select3(z_defuse,A,B) = use ) )
    & ! [C,D] :
        ( ~ leq(n0,C)
        | ~ leq(n0,D)
        | ~ leq(C,n2)
        | ~ leq(D,minus(pv5,n1))
        | ( a_select3(u_defuse,C,D) = use
          & a_select3(z_defuse,C,D) = use ) )
    & ( a_select2(rho_defuse,n0) != use
      | a_select2(rho_defuse,n1) != use
      | a_select2(rho_defuse,n2) != use
      | a_select2(sigma_defuse,n0) != use
      | a_select2(sigma_defuse,n1) != use
      | a_select2(sigma_defuse,n2) != use
      | a_select2(sigma_defuse,n3) != use
      | a_select2(sigma_defuse,n4) != use
      | a_select2(sigma_defuse,n5) != use
      | a_select3(u_defuse,n0,n0) != use
      | a_select3(u_defuse,n1,n0) != use
      | a_select3(u_defuse,n2,n0) != use
      | a_select2(xinit_defuse,n3) != use
      | a_select2(xinit_defuse,n4) != use
      | a_select2(xinit_defuse,n5) != use
      | a_select2(xinit_mean_defuse,n0) != use
      | a_select2(xinit_mean_defuse,n1) != use
      | a_select2(xinit_mean_defuse,n2) != use
      | a_select2(xinit_mean_defuse,n3) != use
      | a_select2(xinit_mean_defuse,n4) != use
      | a_select2(xinit_mean_defuse,n5) != use
      | a_select2(xinit_noise_defuse,n0) != use
      | a_select2(xinit_noise_defuse,n1) != use
      | a_select2(xinit_noise_defuse,n2) != use
      | a_select2(xinit_noise_defuse,n3) != use
      | a_select2(xinit_noise_defuse,n4) != use
      | a_select2(xinit_noise_defuse,n5) != use
      | ~ leq(n0,pv5)
      | ~ leq(pv5,minus(n999,n1))
      | ? [E,F] : pd0_3(F,E)
      | ? [G,H] :
          ( leq(n0,G)
          & leq(n0,H)
          & leq(G,n2)
          & leq(H,minus(pv5,n1))
          & ( a_select3(u_defuse,G,H) != use
            | a_select3(z_defuse,G,H) != use ) ) ) ),
    inference(formula_renaming,[status(thm)],[f251,f252]) ).

fof(f254,plain,
    ( a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = use
    & a_select2(xinit_mean_defuse,n2) = use
    & a_select2(xinit_mean_defuse,n3) = use
    & a_select2(xinit_mean_defuse,n4) = use
    & a_select2(xinit_mean_defuse,n5) = use
    & a_select2(xinit_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = use
    & a_select2(xinit_noise_defuse,n2) = use
    & a_select2(xinit_noise_defuse,n3) = use
    & a_select2(xinit_noise_defuse,n4) = use
    & a_select2(xinit_noise_defuse,n5) = use
    & leq(n0,pv5)
    & leq(pv5,minus(n999,n1))
    & ! [A,B] :
        ( ~ leq(n0,A)
        | ~ leq(n0,B)
        | ~ leq(A,n2)
        | ~ leq(B,pv5)
        | ( a_select3(u_defuse,A,B) = use
          & a_select3(z_defuse,A,B) = use ) )
    & ! [C,D] :
        ( ~ leq(n0,C)
        | ~ leq(n0,D)
        | ~ leq(C,n2)
        | ~ leq(D,minus(pv5,n1))
        | ( a_select3(u_defuse,C,D) = use
          & a_select3(z_defuse,C,D) = use ) )
    & ( a_select2(rho_defuse,n0) != use
      | a_select2(rho_defuse,n1) != use
      | a_select2(rho_defuse,n2) != use
      | a_select2(sigma_defuse,n0) != use
      | a_select2(sigma_defuse,n1) != use
      | a_select2(sigma_defuse,n2) != use
      | a_select2(sigma_defuse,n3) != use
      | a_select2(sigma_defuse,n4) != use
      | a_select2(sigma_defuse,n5) != use
      | a_select3(u_defuse,n0,n0) != use
      | a_select3(u_defuse,n1,n0) != use
      | a_select3(u_defuse,n2,n0) != use
      | a_select2(xinit_defuse,n3) != use
      | a_select2(xinit_defuse,n4) != use
      | a_select2(xinit_defuse,n5) != use
      | a_select2(xinit_mean_defuse,n0) != use
      | a_select2(xinit_mean_defuse,n1) != use
      | a_select2(xinit_mean_defuse,n2) != use
      | a_select2(xinit_mean_defuse,n3) != use
      | a_select2(xinit_mean_defuse,n4) != use
      | a_select2(xinit_mean_defuse,n5) != use
      | a_select2(xinit_noise_defuse,n0) != use
      | a_select2(xinit_noise_defuse,n1) != use
      | a_select2(xinit_noise_defuse,n2) != use
      | a_select2(xinit_noise_defuse,n3) != use
      | a_select2(xinit_noise_defuse,n4) != use
      | a_select2(xinit_noise_defuse,n5) != use
      | ~ leq(n0,pv5)
      | ~ leq(pv5,minus(n999,n1))
      | pd0_3(sk0_24,sk0_23)
      | ( leq(n0,sk0_25)
        & leq(n0,sk0_26)
        & leq(sk0_25,n2)
        & leq(sk0_26,minus(pv5,n1))
        & ( a_select3(u_defuse,sk0_25,sk0_26) != use
          | a_select3(z_defuse,sk0_25,sk0_26) != use ) ) ) ),
    inference(skolemization,[status(esa)],[f253]) ).

fof(f255,plain,
    a_select2(rho_defuse,n0) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f256,plain,
    a_select2(rho_defuse,n1) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f257,plain,
    a_select2(rho_defuse,n2) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f258,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f259,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f260,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f261,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f262,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f263,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f264,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f265,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f266,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f267,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f268,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f269,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f270,plain,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f271,plain,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f272,plain,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f273,plain,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f274,plain,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f275,plain,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f276,plain,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f277,plain,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f278,plain,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f279,plain,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f280,plain,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f281,plain,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f282,plain,
    leq(n0,pv5),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f283,plain,
    leq(pv5,minus(n999,n1)),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( ~ leq(n0,X0)
      | ~ leq(n0,X1)
      | ~ leq(X0,n2)
      | ~ leq(X1,pv5)
      | a_select3(u_defuse,X0,X1) = use ),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( ~ leq(n0,X0)
      | ~ leq(n0,X1)
      | ~ leq(X0,n2)
      | ~ leq(X1,pv5)
      | a_select3(z_defuse,X0,X1) = use ),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( ~ leq(n0,X0)
      | ~ leq(n0,X1)
      | ~ leq(X0,n2)
      | ~ leq(X1,minus(pv5,n1))
      | a_select3(u_defuse,X0,X1) = use ),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( ~ leq(n0,X0)
      | ~ leq(n0,X1)
      | ~ leq(X0,n2)
      | ~ leq(X1,minus(pv5,n1))
      | a_select3(z_defuse,X0,X1) = use ),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f288,plain,
    ( a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(pv5,minus(n999,n1))
    | pd0_3(sk0_24,sk0_23)
    | leq(n0,sk0_25) ),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f289,plain,
    ( a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(pv5,minus(n999,n1))
    | pd0_3(sk0_24,sk0_23)
    | leq(n0,sk0_26) ),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f290,plain,
    ( a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(pv5,minus(n999,n1))
    | pd0_3(sk0_24,sk0_23)
    | leq(sk0_25,n2) ),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f291,plain,
    ( a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(pv5,minus(n999,n1))
    | pd0_3(sk0_24,sk0_23)
    | leq(sk0_26,minus(pv5,n1)) ),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f292,plain,
    ( a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | ~ leq(n0,pv5)
    | ~ leq(pv5,minus(n999,n1))
    | pd0_3(sk0_24,sk0_23)
    | a_select3(u_defuse,sk0_25,sk0_26) != use
    | a_select3(z_defuse,sk0_25,sk0_26) != use ),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f306,plain,
    gt(n1,n0),
    inference(cnf_transformation,[status(esa)],[f68]) ).

fof(f307,plain,
    gt(n2,n0),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f312,plain,
    gt(n2,n1),
    inference(cnf_transformation,[status(esa)],[f74]) ).

fof(f359,plain,
    ! [E,F] :
      ( ~ pd0_3(F,E)
      | ( leq(n0,E)
        & leq(n0,F)
        & leq(E,n2)
        & leq(F,pv5)
        & ( a_select3(u_defuse,E,F) != use
          | a_select3(z_defuse,E,F) != use ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f252]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( ~ pd0_3(X0,X1)
      | leq(n0,X1) ),
    inference(cnf_transformation,[status(esa)],[f359]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( ~ pd0_3(X0,X1)
      | leq(n0,X0) ),
    inference(cnf_transformation,[status(esa)],[f359]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ pd0_3(X0,X1)
      | leq(X1,n2) ),
    inference(cnf_transformation,[status(esa)],[f359]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ~ pd0_3(X0,X1)
      | leq(X0,pv5) ),
    inference(cnf_transformation,[status(esa)],[f359]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( ~ pd0_3(X0,X1)
      | a_select3(u_defuse,X1,X0) != use
      | a_select3(z_defuse,X1,X0) != use ),
    inference(cnf_transformation,[status(esa)],[f359]) ).

fof(f371,plain,
    ( spl0_0
  <=> a_select2(rho_defuse,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f373,plain,
    ( a_select2(rho_defuse,n0) != use
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f371]) ).

fof(f374,plain,
    ( spl0_1
  <=> a_select2(rho_defuse,n1) = use ),
    introduced(split_symbol_definition) ).

fof(f376,plain,
    ( a_select2(rho_defuse,n1) != use
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f374]) ).

fof(f377,plain,
    ( spl0_2
  <=> a_select2(rho_defuse,n2) = use ),
    introduced(split_symbol_definition) ).

fof(f379,plain,
    ( a_select2(rho_defuse,n2) != use
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f377]) ).

fof(f380,plain,
    ( spl0_3
  <=> a_select2(sigma_defuse,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f382,plain,
    ( a_select2(sigma_defuse,n0) != use
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f380]) ).

fof(f383,plain,
    ( spl0_4
  <=> a_select2(sigma_defuse,n1) = use ),
    introduced(split_symbol_definition) ).

fof(f385,plain,
    ( a_select2(sigma_defuse,n1) != use
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f383]) ).

fof(f386,plain,
    ( spl0_5
  <=> a_select2(sigma_defuse,n2) = use ),
    introduced(split_symbol_definition) ).

fof(f388,plain,
    ( a_select2(sigma_defuse,n2) != use
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f386]) ).

fof(f389,plain,
    ( spl0_6
  <=> a_select2(sigma_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f391,plain,
    ( a_select2(sigma_defuse,n3) != use
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f389]) ).

fof(f392,plain,
    ( spl0_7
  <=> a_select2(sigma_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f394,plain,
    ( a_select2(sigma_defuse,n4) != use
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f392]) ).

fof(f395,plain,
    ( spl0_8
  <=> a_select2(sigma_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f397,plain,
    ( a_select2(sigma_defuse,n5) != use
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f395]) ).

fof(f398,plain,
    ( spl0_9
  <=> a_select3(u_defuse,n0,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f400,plain,
    ( a_select3(u_defuse,n0,n0) != use
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f398]) ).

fof(f401,plain,
    ( spl0_10
  <=> a_select3(u_defuse,n1,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f403,plain,
    ( a_select3(u_defuse,n1,n0) != use
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f401]) ).

fof(f404,plain,
    ( spl0_11
  <=> a_select3(u_defuse,n2,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f406,plain,
    ( a_select3(u_defuse,n2,n0) != use
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f404]) ).

fof(f407,plain,
    ( spl0_12
  <=> a_select2(xinit_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f409,plain,
    ( a_select2(xinit_defuse,n3) != use
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f407]) ).

fof(f410,plain,
    ( spl0_13
  <=> a_select2(xinit_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f412,plain,
    ( a_select2(xinit_defuse,n4) != use
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f410]) ).

fof(f413,plain,
    ( spl0_14
  <=> a_select2(xinit_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f415,plain,
    ( a_select2(xinit_defuse,n5) != use
    | spl0_14 ),
    inference(component_clause,[status(thm)],[f413]) ).

fof(f416,plain,
    ( spl0_15
  <=> a_select2(xinit_mean_defuse,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f418,plain,
    ( a_select2(xinit_mean_defuse,n0) != use
    | spl0_15 ),
    inference(component_clause,[status(thm)],[f416]) ).

fof(f419,plain,
    ( spl0_16
  <=> a_select2(xinit_mean_defuse,n1) = use ),
    introduced(split_symbol_definition) ).

fof(f421,plain,
    ( a_select2(xinit_mean_defuse,n1) != use
    | spl0_16 ),
    inference(component_clause,[status(thm)],[f419]) ).

fof(f422,plain,
    ( spl0_17
  <=> a_select2(xinit_mean_defuse,n2) = use ),
    introduced(split_symbol_definition) ).

fof(f424,plain,
    ( a_select2(xinit_mean_defuse,n2) != use
    | spl0_17 ),
    inference(component_clause,[status(thm)],[f422]) ).

fof(f425,plain,
    ( spl0_18
  <=> a_select2(xinit_mean_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f427,plain,
    ( a_select2(xinit_mean_defuse,n3) != use
    | spl0_18 ),
    inference(component_clause,[status(thm)],[f425]) ).

fof(f428,plain,
    ( spl0_19
  <=> a_select2(xinit_mean_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f430,plain,
    ( a_select2(xinit_mean_defuse,n4) != use
    | spl0_19 ),
    inference(component_clause,[status(thm)],[f428]) ).

fof(f431,plain,
    ( spl0_20
  <=> a_select2(xinit_mean_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f433,plain,
    ( a_select2(xinit_mean_defuse,n5) != use
    | spl0_20 ),
    inference(component_clause,[status(thm)],[f431]) ).

fof(f434,plain,
    ( spl0_21
  <=> a_select2(xinit_noise_defuse,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f436,plain,
    ( a_select2(xinit_noise_defuse,n0) != use
    | spl0_21 ),
    inference(component_clause,[status(thm)],[f434]) ).

fof(f437,plain,
    ( spl0_22
  <=> a_select2(xinit_noise_defuse,n1) = use ),
    introduced(split_symbol_definition) ).

fof(f439,plain,
    ( a_select2(xinit_noise_defuse,n1) != use
    | spl0_22 ),
    inference(component_clause,[status(thm)],[f437]) ).

fof(f440,plain,
    ( spl0_23
  <=> a_select2(xinit_noise_defuse,n2) = use ),
    introduced(split_symbol_definition) ).

fof(f442,plain,
    ( a_select2(xinit_noise_defuse,n2) != use
    | spl0_23 ),
    inference(component_clause,[status(thm)],[f440]) ).

fof(f443,plain,
    ( spl0_24
  <=> a_select2(xinit_noise_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f445,plain,
    ( a_select2(xinit_noise_defuse,n3) != use
    | spl0_24 ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f446,plain,
    ( spl0_25
  <=> a_select2(xinit_noise_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f448,plain,
    ( a_select2(xinit_noise_defuse,n4) != use
    | spl0_25 ),
    inference(component_clause,[status(thm)],[f446]) ).

fof(f449,plain,
    ( spl0_26
  <=> a_select2(xinit_noise_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f451,plain,
    ( a_select2(xinit_noise_defuse,n5) != use
    | spl0_26 ),
    inference(component_clause,[status(thm)],[f449]) ).

fof(f452,plain,
    ( spl0_27
  <=> leq(n0,pv5) ),
    introduced(split_symbol_definition) ).

fof(f454,plain,
    ( ~ leq(n0,pv5)
    | spl0_27 ),
    inference(component_clause,[status(thm)],[f452]) ).

fof(f455,plain,
    ( spl0_28
  <=> leq(pv5,minus(n999,n1)) ),
    introduced(split_symbol_definition) ).

fof(f457,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | spl0_28 ),
    inference(component_clause,[status(thm)],[f455]) ).

fof(f458,plain,
    ( spl0_29
  <=> pd0_3(sk0_24,sk0_23) ),
    introduced(split_symbol_definition) ).

fof(f459,plain,
    ( pd0_3(sk0_24,sk0_23)
    | ~ spl0_29 ),
    inference(component_clause,[status(thm)],[f458]) ).

fof(f461,plain,
    ( spl0_30
  <=> leq(n0,sk0_25) ),
    introduced(split_symbol_definition) ).

fof(f464,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | spl0_29
    | spl0_30 ),
    inference(split_clause,[status(thm)],[f288,f371,f374,f377,f380,f383,f386,f389,f392,f395,f398,f401,f404,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f461]) ).

fof(f465,plain,
    ( spl0_31
  <=> leq(n0,sk0_26) ),
    introduced(split_symbol_definition) ).

fof(f468,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | spl0_29
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f289,f371,f374,f377,f380,f383,f386,f389,f392,f395,f398,f401,f404,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f465]) ).

fof(f469,plain,
    ( spl0_32
  <=> leq(sk0_25,n2) ),
    introduced(split_symbol_definition) ).

fof(f472,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | spl0_29
    | spl0_32 ),
    inference(split_clause,[status(thm)],[f290,f371,f374,f377,f380,f383,f386,f389,f392,f395,f398,f401,f404,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f469]) ).

fof(f473,plain,
    ( spl0_33
  <=> leq(sk0_26,minus(pv5,n1)) ),
    introduced(split_symbol_definition) ).

fof(f474,plain,
    ( leq(sk0_26,minus(pv5,n1))
    | ~ spl0_33 ),
    inference(component_clause,[status(thm)],[f473]) ).

fof(f476,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | spl0_29
    | spl0_33 ),
    inference(split_clause,[status(thm)],[f291,f371,f374,f377,f380,f383,f386,f389,f392,f395,f398,f401,f404,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f473]) ).

fof(f477,plain,
    ( spl0_34
  <=> a_select3(u_defuse,sk0_25,sk0_26) = use ),
    introduced(split_symbol_definition) ).

fof(f479,plain,
    ( a_select3(u_defuse,sk0_25,sk0_26) != use
    | spl0_34 ),
    inference(component_clause,[status(thm)],[f477]) ).

fof(f480,plain,
    ( spl0_35
  <=> a_select3(z_defuse,sk0_25,sk0_26) = use ),
    introduced(split_symbol_definition) ).

fof(f482,plain,
    ( a_select3(z_defuse,sk0_25,sk0_26) != use
    | spl0_35 ),
    inference(component_clause,[status(thm)],[f480]) ).

fof(f483,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_26
    | ~ spl0_27
    | ~ spl0_28
    | spl0_29
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f292,f371,f374,f377,f380,f383,f386,f389,f392,f395,f398,f401,f404,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f477,f480]) ).

fof(f502,plain,
    leq(pv5,pred(n999)),
    inference(forward_demodulation,[status(thm)],[f217,f283]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( ~ leq(n0,X0)
      | ~ leq(n0,X1)
      | ~ leq(X0,n2)
      | ~ leq(X1,pred(pv5))
      | a_select3(u_defuse,X0,X1) = use ),
    inference(forward_demodulation,[status(thm)],[f217,f286]) ).

fof(f504,plain,
    ! [X0,X1] :
      ( ~ leq(n0,X0)
      | ~ leq(n0,X1)
      | ~ leq(X0,n2)
      | ~ leq(X1,pred(pv5))
      | a_select3(z_defuse,X0,X1) = use ),
    inference(forward_demodulation,[status(thm)],[f217,f287]) ).

fof(f515,plain,
    ( ~ leq(pv5,pred(n999))
    | spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f217,f457]) ).

fof(f516,plain,
    ( $false
    | spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f515,f502]) ).

fof(f517,plain,
    spl0_28,
    inference(contradiction_clause,[status(thm)],[f516]) ).

fof(f518,plain,
    ( $false
    | spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f454,f282]) ).

fof(f519,plain,
    spl0_27,
    inference(contradiction_clause,[status(thm)],[f518]) ).

fof(f521,plain,
    ( use != use
    | spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f281,f451]) ).

fof(f522,plain,
    ( $false
    | spl0_26 ),
    inference(trivial_equality_resolution,[status(esa)],[f521]) ).

fof(f523,plain,
    spl0_26,
    inference(contradiction_clause,[status(thm)],[f522]) ).

fof(f524,plain,
    ( use != use
    | spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f280,f448]) ).

fof(f525,plain,
    ( $false
    | spl0_25 ),
    inference(trivial_equality_resolution,[status(esa)],[f524]) ).

fof(f526,plain,
    spl0_25,
    inference(contradiction_clause,[status(thm)],[f525]) ).

fof(f527,plain,
    ( use != use
    | spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f279,f445]) ).

fof(f528,plain,
    ( $false
    | spl0_24 ),
    inference(trivial_equality_resolution,[status(esa)],[f527]) ).

fof(f529,plain,
    spl0_24,
    inference(contradiction_clause,[status(thm)],[f528]) ).

fof(f530,plain,
    ( use != use
    | spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f278,f442]) ).

fof(f531,plain,
    ( $false
    | spl0_23 ),
    inference(trivial_equality_resolution,[status(esa)],[f530]) ).

fof(f532,plain,
    spl0_23,
    inference(contradiction_clause,[status(thm)],[f531]) ).

fof(f533,plain,
    ( use != use
    | spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f277,f439]) ).

fof(f534,plain,
    ( $false
    | spl0_22 ),
    inference(trivial_equality_resolution,[status(esa)],[f533]) ).

fof(f535,plain,
    spl0_22,
    inference(contradiction_clause,[status(thm)],[f534]) ).

fof(f536,plain,
    ( use != use
    | spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f276,f436]) ).

fof(f537,plain,
    ( $false
    | spl0_21 ),
    inference(trivial_equality_resolution,[status(esa)],[f536]) ).

fof(f538,plain,
    spl0_21,
    inference(contradiction_clause,[status(thm)],[f537]) ).

fof(f539,plain,
    ( use != use
    | spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f275,f433]) ).

fof(f540,plain,
    ( $false
    | spl0_20 ),
    inference(trivial_equality_resolution,[status(esa)],[f539]) ).

fof(f541,plain,
    spl0_20,
    inference(contradiction_clause,[status(thm)],[f540]) ).

fof(f542,plain,
    ( use != use
    | spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f274,f430]) ).

fof(f543,plain,
    ( $false
    | spl0_19 ),
    inference(trivial_equality_resolution,[status(esa)],[f542]) ).

fof(f544,plain,
    spl0_19,
    inference(contradiction_clause,[status(thm)],[f543]) ).

fof(f545,plain,
    ( use != use
    | spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f273,f427]) ).

fof(f546,plain,
    ( $false
    | spl0_18 ),
    inference(trivial_equality_resolution,[status(esa)],[f545]) ).

fof(f547,plain,
    spl0_18,
    inference(contradiction_clause,[status(thm)],[f546]) ).

fof(f548,plain,
    ( use != use
    | spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f272,f424]) ).

fof(f549,plain,
    ( $false
    | spl0_17 ),
    inference(trivial_equality_resolution,[status(esa)],[f548]) ).

fof(f550,plain,
    spl0_17,
    inference(contradiction_clause,[status(thm)],[f549]) ).

fof(f551,plain,
    ( use != use
    | spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f271,f421]) ).

fof(f552,plain,
    ( $false
    | spl0_16 ),
    inference(trivial_equality_resolution,[status(esa)],[f551]) ).

fof(f553,plain,
    spl0_16,
    inference(contradiction_clause,[status(thm)],[f552]) ).

fof(f554,plain,
    ( use != use
    | spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f270,f418]) ).

fof(f555,plain,
    ( $false
    | spl0_15 ),
    inference(trivial_equality_resolution,[status(esa)],[f554]) ).

fof(f556,plain,
    spl0_15,
    inference(contradiction_clause,[status(thm)],[f555]) ).

fof(f557,plain,
    ( use != use
    | spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f269,f415]) ).

fof(f558,plain,
    ( $false
    | spl0_14 ),
    inference(trivial_equality_resolution,[status(esa)],[f557]) ).

fof(f559,plain,
    spl0_14,
    inference(contradiction_clause,[status(thm)],[f558]) ).

fof(f560,plain,
    ( use != use
    | spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f268,f412]) ).

fof(f561,plain,
    ( $false
    | spl0_13 ),
    inference(trivial_equality_resolution,[status(esa)],[f560]) ).

fof(f562,plain,
    spl0_13,
    inference(contradiction_clause,[status(thm)],[f561]) ).

fof(f563,plain,
    ( use != use
    | spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f267,f409]) ).

fof(f564,plain,
    ( $false
    | spl0_12 ),
    inference(trivial_equality_resolution,[status(esa)],[f563]) ).

fof(f565,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f564]) ).

fof(f566,plain,
    ( use != use
    | spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f266,f406]) ).

fof(f567,plain,
    ( $false
    | spl0_11 ),
    inference(trivial_equality_resolution,[status(esa)],[f566]) ).

fof(f568,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f567]) ).

fof(f569,plain,
    ( use != use
    | spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f265,f403]) ).

fof(f570,plain,
    ( $false
    | spl0_10 ),
    inference(trivial_equality_resolution,[status(esa)],[f569]) ).

fof(f571,plain,
    spl0_10,
    inference(contradiction_clause,[status(thm)],[f570]) ).

fof(f572,plain,
    ( use != use
    | spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f264,f400]) ).

fof(f573,plain,
    ( $false
    | spl0_9 ),
    inference(trivial_equality_resolution,[status(esa)],[f572]) ).

fof(f574,plain,
    spl0_9,
    inference(contradiction_clause,[status(thm)],[f573]) ).

fof(f575,plain,
    ( use != use
    | spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f263,f397]) ).

fof(f576,plain,
    ( $false
    | spl0_8 ),
    inference(trivial_equality_resolution,[status(esa)],[f575]) ).

fof(f577,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f576]) ).

fof(f578,plain,
    ( use != use
    | spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f262,f394]) ).

fof(f579,plain,
    ( $false
    | spl0_7 ),
    inference(trivial_equality_resolution,[status(esa)],[f578]) ).

fof(f580,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f579]) ).

fof(f581,plain,
    ( use != use
    | spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f261,f391]) ).

fof(f582,plain,
    ( $false
    | spl0_6 ),
    inference(trivial_equality_resolution,[status(esa)],[f581]) ).

fof(f583,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f582]) ).

fof(f584,plain,
    ( use != use
    | spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f260,f388]) ).

fof(f585,plain,
    ( $false
    | spl0_5 ),
    inference(trivial_equality_resolution,[status(esa)],[f584]) ).

fof(f586,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f585]) ).

fof(f587,plain,
    ( use != use
    | spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f259,f385]) ).

fof(f588,plain,
    ( $false
    | spl0_4 ),
    inference(trivial_equality_resolution,[status(esa)],[f587]) ).

fof(f589,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f588]) ).

fof(f590,plain,
    ( use != use
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f258,f382]) ).

fof(f591,plain,
    ( $false
    | spl0_3 ),
    inference(trivial_equality_resolution,[status(esa)],[f590]) ).

fof(f592,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f591]) ).

fof(f593,plain,
    ( use != use
    | spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f257,f379]) ).

fof(f594,plain,
    ( $false
    | spl0_2 ),
    inference(trivial_equality_resolution,[status(esa)],[f593]) ).

fof(f595,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f594]) ).

fof(f596,plain,
    ( use != use
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f256,f376]) ).

fof(f597,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f596]) ).

fof(f598,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f597]) ).

fof(f599,plain,
    ( use != use
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f255,f373]) ).

fof(f600,plain,
    ( $false
    | spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f599]) ).

fof(f601,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f600]) ).

fof(f625,plain,
    ( leq(n0,sk0_23)
    | ~ spl0_29 ),
    inference(resolution,[status(thm)],[f360,f459]) ).

fof(f628,plain,
    ( leq(n0,sk0_24)
    | ~ spl0_29 ),
    inference(resolution,[status(thm)],[f361,f459]) ).

fof(f631,plain,
    ( leq(sk0_23,n2)
    | ~ spl0_29 ),
    inference(resolution,[status(thm)],[f362,f459]) ).

fof(f637,plain,
    ( spl0_36
  <=> leq(n0,n2) ),
    introduced(split_symbol_definition) ).

fof(f639,plain,
    ( ~ leq(n0,n2)
    | spl0_36 ),
    inference(component_clause,[status(thm)],[f637]) ).

fof(f640,plain,
    ( spl0_37
  <=> leq(n0,n0) ),
    introduced(split_symbol_definition) ).

fof(f642,plain,
    ( ~ leq(n0,n0)
    | spl0_37 ),
    inference(component_clause,[status(thm)],[f640]) ).

fof(f643,plain,
    ( spl0_38
  <=> leq(n2,n2) ),
    introduced(split_symbol_definition) ).

fof(f645,plain,
    ( ~ leq(n2,n2)
    | spl0_38 ),
    inference(component_clause,[status(thm)],[f643]) ).

fof(f646,plain,
    ( spl0_39
  <=> use = use ),
    introduced(split_symbol_definition) ).

fof(f651,plain,
    ( spl0_40
  <=> leq(n0,n1) ),
    introduced(split_symbol_definition) ).

fof(f653,plain,
    ( ~ leq(n0,n1)
    | spl0_40 ),
    inference(component_clause,[status(thm)],[f651]) ).

fof(f654,plain,
    ( spl0_41
  <=> leq(n1,n2) ),
    introduced(split_symbol_definition) ).

fof(f656,plain,
    ( ~ leq(n1,n2)
    | spl0_41 ),
    inference(component_clause,[status(thm)],[f654]) ).

fof(f657,plain,
    ( ~ leq(n0,n1)
    | ~ leq(n0,n0)
    | ~ leq(n1,n2)
    | ~ leq(n0,pv5)
    | use = use ),
    inference(paramodulation,[status(thm)],[f265,f284]) ).

fof(f658,plain,
    ( ~ spl0_40
    | ~ spl0_37
    | ~ spl0_41
    | ~ spl0_27
    | spl0_39 ),
    inference(split_clause,[status(thm)],[f657,f651,f640,f654,f452,f646]) ).

fof(f661,plain,
    ( $false
    | spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f645,f99]) ).

fof(f662,plain,
    spl0_38,
    inference(contradiction_clause,[status(thm)],[f661]) ).

fof(f665,plain,
    ( $false
    | spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f642,f99]) ).

fof(f666,plain,
    spl0_37,
    inference(contradiction_clause,[status(thm)],[f665]) ).

fof(f667,plain,
    ( leq(sk0_24,pv5)
    | ~ spl0_29 ),
    inference(resolution,[status(thm)],[f363,f459]) ).

fof(f752,plain,
    leq(n1,n2),
    inference(resolution,[status(thm)],[f112,f312]) ).

fof(f754,plain,
    leq(n0,n1),
    inference(resolution,[status(thm)],[f112,f306]) ).

fof(f797,plain,
    ! [X0,X1] :
      ( ~ pd0_3(X0,X1)
      | a_select3(u_defuse,X1,X0) != use
      | ~ leq(n0,X1)
      | ~ leq(n0,X0)
      | ~ leq(X1,n2)
      | ~ leq(X0,pv5) ),
    inference(resolution,[status(thm)],[f364,f285]) ).

fof(f798,plain,
    ! [X0,X1] :
      ( ~ pd0_3(X0,X1)
      | ~ leq(n0,X1)
      | ~ leq(n0,X0)
      | ~ leq(X1,n2)
      | ~ leq(X0,pv5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f797,f284]) ).

fof(f827,plain,
    ( spl0_48
  <=> leq(n0,sk0_23) ),
    introduced(split_symbol_definition) ).

fof(f829,plain,
    ( ~ leq(n0,sk0_23)
    | spl0_48 ),
    inference(component_clause,[status(thm)],[f827]) ).

fof(f830,plain,
    ( spl0_49
  <=> leq(n0,sk0_24) ),
    introduced(split_symbol_definition) ).

fof(f832,plain,
    ( ~ leq(n0,sk0_24)
    | spl0_49 ),
    inference(component_clause,[status(thm)],[f830]) ).

fof(f833,plain,
    ( spl0_50
  <=> leq(sk0_23,n2) ),
    introduced(split_symbol_definition) ).

fof(f835,plain,
    ( ~ leq(sk0_23,n2)
    | spl0_50 ),
    inference(component_clause,[status(thm)],[f833]) ).

fof(f836,plain,
    ( spl0_51
  <=> leq(sk0_24,pv5) ),
    introduced(split_symbol_definition) ).

fof(f838,plain,
    ( ~ leq(sk0_24,pv5)
    | spl0_51 ),
    inference(component_clause,[status(thm)],[f836]) ).

fof(f839,plain,
    ( ~ leq(n0,sk0_23)
    | ~ leq(n0,sk0_24)
    | ~ leq(sk0_23,n2)
    | ~ leq(sk0_24,pv5)
    | ~ spl0_29 ),
    inference(resolution,[status(thm)],[f798,f459]) ).

fof(f840,plain,
    ( ~ spl0_48
    | ~ spl0_49
    | ~ spl0_50
    | ~ spl0_51
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f839,f827,f830,f833,f836,f458]) ).

fof(f841,plain,
    ( $false
    | ~ spl0_29
    | spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f838,f667]) ).

fof(f842,plain,
    ( ~ spl0_29
    | spl0_51 ),
    inference(contradiction_clause,[status(thm)],[f841]) ).

fof(f843,plain,
    ( $false
    | ~ spl0_29
    | spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f835,f631]) ).

fof(f844,plain,
    ( ~ spl0_29
    | spl0_50 ),
    inference(contradiction_clause,[status(thm)],[f843]) ).

fof(f845,plain,
    ( $false
    | ~ spl0_29
    | spl0_48 ),
    inference(forward_subsumption_resolution,[status(thm)],[f829,f625]) ).

fof(f846,plain,
    ( ~ spl0_29
    | spl0_48 ),
    inference(contradiction_clause,[status(thm)],[f845]) ).

fof(f847,plain,
    ( $false
    | spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f656,f752]) ).

fof(f848,plain,
    spl0_41,
    inference(contradiction_clause,[status(thm)],[f847]) ).

fof(f849,plain,
    ( leq(sk0_26,pred(pv5))
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f217,f474]) ).

fof(f850,plain,
    leq(n0,n2),
    inference(resolution,[status(thm)],[f112,f307]) ).

fof(f851,plain,
    ( $false
    | spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f639,f850]) ).

fof(f852,plain,
    spl0_36,
    inference(contradiction_clause,[status(thm)],[f851]) ).

fof(f869,plain,
    ( $false
    | spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f653,f754]) ).

fof(f870,plain,
    spl0_40,
    inference(contradiction_clause,[status(thm)],[f869]) ).

fof(f872,plain,
    ( $false
    | spl0_49
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f628,f832]) ).

fof(f873,plain,
    ( spl0_49
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f872]) ).

fof(f884,plain,
    ( spl0_53
  <=> leq(sk0_26,pred(pv5)) ),
    introduced(split_symbol_definition) ).

fof(f886,plain,
    ( ~ leq(sk0_26,pred(pv5))
    | spl0_53 ),
    inference(component_clause,[status(thm)],[f884]) ).

fof(f887,plain,
    ( ~ leq(n0,sk0_25)
    | ~ leq(n0,sk0_26)
    | ~ leq(sk0_25,n2)
    | ~ leq(sk0_26,pred(pv5))
    | spl0_34 ),
    inference(resolution,[status(thm)],[f479,f503]) ).

fof(f888,plain,
    ( ~ spl0_30
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_53
    | spl0_34 ),
    inference(split_clause,[status(thm)],[f887,f461,f465,f469,f884,f477]) ).

fof(f894,plain,
    ( $false
    | ~ spl0_33
    | spl0_53 ),
    inference(forward_subsumption_resolution,[status(thm)],[f886,f849]) ).

fof(f895,plain,
    ( ~ spl0_33
    | spl0_53 ),
    inference(contradiction_clause,[status(thm)],[f894]) ).

fof(f896,plain,
    ( ~ leq(n0,sk0_25)
    | ~ leq(n0,sk0_26)
    | ~ leq(sk0_25,n2)
    | ~ leq(sk0_26,pred(pv5))
    | spl0_35 ),
    inference(resolution,[status(thm)],[f482,f504]) ).

fof(f897,plain,
    ( ~ spl0_30
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_53
    | spl0_35 ),
    inference(split_clause,[status(thm)],[f896,f461,f465,f469,f884,f480]) ).

fof(f900,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f464,f468,f472,f476,f483,f517,f519,f523,f526,f529,f532,f535,f538,f541,f544,f547,f550,f553,f556,f559,f562,f565,f568,f571,f574,f577,f580,f583,f586,f589,f592,f595,f598,f601,f658,f662,f666,f840,f842,f844,f846,f848,f852,f870,f873,f888,f895,f897]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWV097+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Apr 30 00:39:26 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.46  % Refutation found
% 0.15/0.46  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.46  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.48  % Elapsed time: 0.159604 seconds
% 0.15/0.48  % CPU time: 1.105934 seconds
% 0.15/0.48  % Total memory used: 79.709 MB
% 0.15/0.48  % Net memory used: 79.023 MB
%------------------------------------------------------------------------------