TSTP Solution File: SWV092+1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV092+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 : Wed May 31 12:40:38 EDT 2023

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  234 (  80 unt;   0 def)
%            Number of atoms       :  748 ( 418 equ)
%            Maximal formula atoms :   60 (   3 avg)
%            Number of connectives :  779 ( 265   ~; 295   |; 178   &)
%                                         (  34 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   63 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   38 (  36 usr;  35 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  17 con; 0-3 aty)
%            Number of variables   :   35 (;  33   !;   2   ?)

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

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

fof(f8,axiom,
    ! [X,Y] :
      ( gt(Y,X)
     => leq(X,Y) ),
    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(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use )
   => ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & ! [A,B] :
          ( ( leq(n0,A)
            & leq(n0,B)
            & leq(A,n2)
            & leq(B,minus(n0,n1)) )
         => ( a_select3(u_defuse,A,B) = use
            & a_select3(z_defuse,A,B) = use ) ) ) ),
    file('/export/starexec/sandbox2/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 )
     => ( a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = use
        & a_select2(xinit_mean_defuse,n2) = use
        & a_select2(xinit_mean_defuse,n3) = use
        & a_select2(xinit_mean_defuse,n4) = use
        & a_select2(xinit_mean_defuse,n5) = use
        & a_select2(xinit_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = use
        & a_select2(xinit_noise_defuse,n2) = use
        & a_select2(xinit_noise_defuse,n3) = use
        & a_select2(xinit_noise_defuse,n4) = use
        & a_select2(xinit_noise_defuse,n5) = use
        & ! [A,B] :
            ( ( leq(n0,A)
              & leq(n0,B)
              & leq(A,n2)
              & leq(B,minus(n0,n1)) )
           => ( a_select3(u_defuse,A,B) = use
              & a_select3(z_defuse,A,B) = use ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f58,axiom,
    gt(n0,tptp_minus_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f60,axiom,
    gt(n2,tptp_minus_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f65,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f80,axiom,
    ! [X] :
      ( ( leq(n0,X)
        & leq(X,n2) )
     => ( X = n0
        | X = n1
        | X = n2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f84,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f85,axiom,
    succ(succ(n0)) = n2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

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

fof(f104,plain,
    ! [X,Y] :
      ( ~ gt(Y,X)
      | leq(X,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | leq(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f104]) ).

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

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

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

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

fof(f245,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
    & ( 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,sk0_23)
        & leq(n0,sk0_24)
        & leq(sk0_23,n2)
        & leq(sk0_24,minus(n0,n1))
        & ( a_select3(u_defuse,sk0_23,sk0_24) != use
          | a_select3(z_defuse,sk0_23,sk0_24) != use ) ) ) ),
    inference(skolemization,[status(esa)],[f244]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f274,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,sk0_24) ),
    inference(cnf_transformation,[status(esa)],[f245]) ).

fof(f276,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(sk0_24,minus(n0,n1)) ),
    inference(cnf_transformation,[status(esa)],[f245]) ).

fof(f281,plain,
    gt(n0,tptp_minus_1),
    inference(cnf_transformation,[status(esa)],[f58]) ).

fof(f283,plain,
    gt(n2,tptp_minus_1),
    inference(cnf_transformation,[status(esa)],[f60]) ).

fof(f288,plain,
    gt(n2,n0),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f307,plain,
    ! [X] :
      ( ~ leq(n0,X)
      | ~ leq(X,n2)
      | X = n0
      | X = n1
      | X = n2 ),
    inference(pre_NNF_transformation,[status(esa)],[f80]) ).

fof(f308,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,n2)
      | X0 = n0
      | X0 = n1
      | X0 = n2 ),
    inference(cnf_transformation,[status(esa)],[f307]) ).

fof(f313,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[status(esa)],[f84]) ).

fof(f314,plain,
    succ(succ(n0)) = n2,
    inference(cnf_transformation,[status(esa)],[f85]) ).

fof(f343,plain,
    ( spl0_0
  <=> a_select2(rho_defuse,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f345,plain,
    ( a_select2(rho_defuse,n0) != use
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f343]) ).

fof(f346,plain,
    ( spl0_1
  <=> a_select2(rho_defuse,n1) = use ),
    introduced(split_symbol_definition) ).

fof(f348,plain,
    ( a_select2(rho_defuse,n1) != use
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f346]) ).

fof(f349,plain,
    ( spl0_2
  <=> a_select2(rho_defuse,n2) = use ),
    introduced(split_symbol_definition) ).

fof(f351,plain,
    ( a_select2(rho_defuse,n2) != use
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f349]) ).

fof(f352,plain,
    ( spl0_3
  <=> a_select2(sigma_defuse,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f354,plain,
    ( a_select2(sigma_defuse,n0) != use
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f352]) ).

fof(f355,plain,
    ( spl0_4
  <=> a_select2(sigma_defuse,n1) = use ),
    introduced(split_symbol_definition) ).

fof(f357,plain,
    ( a_select2(sigma_defuse,n1) != use
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f355]) ).

fof(f358,plain,
    ( spl0_5
  <=> a_select2(sigma_defuse,n2) = use ),
    introduced(split_symbol_definition) ).

fof(f360,plain,
    ( a_select2(sigma_defuse,n2) != use
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f358]) ).

fof(f361,plain,
    ( spl0_6
  <=> a_select2(sigma_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f363,plain,
    ( a_select2(sigma_defuse,n3) != use
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f361]) ).

fof(f364,plain,
    ( spl0_7
  <=> a_select2(sigma_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f366,plain,
    ( a_select2(sigma_defuse,n4) != use
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f364]) ).

fof(f367,plain,
    ( spl0_8
  <=> a_select2(sigma_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f369,plain,
    ( a_select2(sigma_defuse,n5) != use
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f367]) ).

fof(f370,plain,
    ( spl0_9
  <=> a_select3(u_defuse,n0,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f372,plain,
    ( a_select3(u_defuse,n0,n0) != use
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f370]) ).

fof(f373,plain,
    ( spl0_10
  <=> a_select3(u_defuse,n1,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f375,plain,
    ( a_select3(u_defuse,n1,n0) != use
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f373]) ).

fof(f376,plain,
    ( spl0_11
  <=> a_select3(u_defuse,n2,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f378,plain,
    ( a_select3(u_defuse,n2,n0) != use
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f376]) ).

fof(f379,plain,
    ( spl0_12
  <=> a_select2(xinit_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f381,plain,
    ( a_select2(xinit_defuse,n3) != use
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f379]) ).

fof(f382,plain,
    ( spl0_13
  <=> a_select2(xinit_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f384,plain,
    ( a_select2(xinit_defuse,n4) != use
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f382]) ).

fof(f385,plain,
    ( spl0_14
  <=> a_select2(xinit_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f387,plain,
    ( a_select2(xinit_defuse,n5) != use
    | spl0_14 ),
    inference(component_clause,[status(thm)],[f385]) ).

fof(f388,plain,
    ( spl0_15
  <=> a_select2(xinit_mean_defuse,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f390,plain,
    ( a_select2(xinit_mean_defuse,n0) != use
    | spl0_15 ),
    inference(component_clause,[status(thm)],[f388]) ).

fof(f391,plain,
    ( spl0_16
  <=> a_select2(xinit_mean_defuse,n1) = use ),
    introduced(split_symbol_definition) ).

fof(f393,plain,
    ( a_select2(xinit_mean_defuse,n1) != use
    | spl0_16 ),
    inference(component_clause,[status(thm)],[f391]) ).

fof(f394,plain,
    ( spl0_17
  <=> a_select2(xinit_mean_defuse,n2) = use ),
    introduced(split_symbol_definition) ).

fof(f396,plain,
    ( a_select2(xinit_mean_defuse,n2) != use
    | spl0_17 ),
    inference(component_clause,[status(thm)],[f394]) ).

fof(f397,plain,
    ( spl0_18
  <=> a_select2(xinit_mean_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f399,plain,
    ( a_select2(xinit_mean_defuse,n3) != use
    | spl0_18 ),
    inference(component_clause,[status(thm)],[f397]) ).

fof(f400,plain,
    ( spl0_19
  <=> a_select2(xinit_mean_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f402,plain,
    ( a_select2(xinit_mean_defuse,n4) != use
    | spl0_19 ),
    inference(component_clause,[status(thm)],[f400]) ).

fof(f403,plain,
    ( spl0_20
  <=> a_select2(xinit_mean_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f405,plain,
    ( a_select2(xinit_mean_defuse,n5) != use
    | spl0_20 ),
    inference(component_clause,[status(thm)],[f403]) ).

fof(f406,plain,
    ( spl0_21
  <=> a_select2(xinit_noise_defuse,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f408,plain,
    ( a_select2(xinit_noise_defuse,n0) != use
    | spl0_21 ),
    inference(component_clause,[status(thm)],[f406]) ).

fof(f409,plain,
    ( spl0_22
  <=> a_select2(xinit_noise_defuse,n1) = use ),
    introduced(split_symbol_definition) ).

fof(f411,plain,
    ( a_select2(xinit_noise_defuse,n1) != use
    | spl0_22 ),
    inference(component_clause,[status(thm)],[f409]) ).

fof(f412,plain,
    ( spl0_23
  <=> a_select2(xinit_noise_defuse,n2) = use ),
    introduced(split_symbol_definition) ).

fof(f414,plain,
    ( a_select2(xinit_noise_defuse,n2) != use
    | spl0_23 ),
    inference(component_clause,[status(thm)],[f412]) ).

fof(f415,plain,
    ( spl0_24
  <=> a_select2(xinit_noise_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f417,plain,
    ( a_select2(xinit_noise_defuse,n3) != use
    | spl0_24 ),
    inference(component_clause,[status(thm)],[f415]) ).

fof(f418,plain,
    ( spl0_25
  <=> a_select2(xinit_noise_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f420,plain,
    ( a_select2(xinit_noise_defuse,n4) != use
    | spl0_25 ),
    inference(component_clause,[status(thm)],[f418]) ).

fof(f421,plain,
    ( spl0_26
  <=> a_select2(xinit_noise_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f423,plain,
    ( a_select2(xinit_noise_defuse,n5) != use
    | spl0_26 ),
    inference(component_clause,[status(thm)],[f421]) ).

fof(f428,plain,
    ( spl0_28
  <=> leq(n0,sk0_24) ),
    introduced(split_symbol_definition) ).

fof(f429,plain,
    ( leq(n0,sk0_24)
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f428]) ).

fof(f431,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_28 ),
    inference(split_clause,[status(thm)],[f274,f343,f346,f349,f352,f355,f358,f361,f364,f367,f370,f373,f376,f379,f382,f385,f388,f391,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f428]) ).

fof(f436,plain,
    ( spl0_30
  <=> leq(sk0_24,minus(n0,n1)) ),
    introduced(split_symbol_definition) ).

fof(f437,plain,
    ( leq(sk0_24,minus(n0,n1))
    | ~ spl0_30 ),
    inference(component_clause,[status(thm)],[f436]) ).

fof(f439,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_30 ),
    inference(split_clause,[status(thm)],[f276,f343,f346,f349,f352,f355,f358,f361,f364,f367,f370,f373,f376,f379,f382,f385,f388,f391,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f436]) ).

fof(f450,plain,
    pred(n0) = tptp_minus_1,
    inference(paramodulation,[status(thm)],[f199,f211]) ).

fof(f471,plain,
    ( $false
    | spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f272,f423]) ).

fof(f472,plain,
    spl0_26,
    inference(contradiction_clause,[status(thm)],[f471]) ).

fof(f473,plain,
    ( use != use
    | spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f271,f420]) ).

fof(f474,plain,
    ( $false
    | spl0_25 ),
    inference(trivial_equality_resolution,[status(esa)],[f473]) ).

fof(f475,plain,
    spl0_25,
    inference(contradiction_clause,[status(thm)],[f474]) ).

fof(f476,plain,
    ( use != use
    | spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f270,f417]) ).

fof(f477,plain,
    ( $false
    | spl0_24 ),
    inference(trivial_equality_resolution,[status(esa)],[f476]) ).

fof(f478,plain,
    spl0_24,
    inference(contradiction_clause,[status(thm)],[f477]) ).

fof(f479,plain,
    ( use != use
    | spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f269,f414]) ).

fof(f480,plain,
    ( $false
    | spl0_23 ),
    inference(trivial_equality_resolution,[status(esa)],[f479]) ).

fof(f481,plain,
    spl0_23,
    inference(contradiction_clause,[status(thm)],[f480]) ).

fof(f482,plain,
    ( use != use
    | spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f268,f411]) ).

fof(f483,plain,
    ( $false
    | spl0_22 ),
    inference(trivial_equality_resolution,[status(esa)],[f482]) ).

fof(f484,plain,
    spl0_22,
    inference(contradiction_clause,[status(thm)],[f483]) ).

fof(f485,plain,
    ( use != use
    | spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f267,f408]) ).

fof(f486,plain,
    ( $false
    | spl0_21 ),
    inference(trivial_equality_resolution,[status(esa)],[f485]) ).

fof(f487,plain,
    spl0_21,
    inference(contradiction_clause,[status(thm)],[f486]) ).

fof(f488,plain,
    ( use != use
    | spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f266,f405]) ).

fof(f489,plain,
    ( $false
    | spl0_20 ),
    inference(trivial_equality_resolution,[status(esa)],[f488]) ).

fof(f490,plain,
    spl0_20,
    inference(contradiction_clause,[status(thm)],[f489]) ).

fof(f491,plain,
    ( use != use
    | spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f265,f402]) ).

fof(f492,plain,
    ( $false
    | spl0_19 ),
    inference(trivial_equality_resolution,[status(esa)],[f491]) ).

fof(f493,plain,
    spl0_19,
    inference(contradiction_clause,[status(thm)],[f492]) ).

fof(f494,plain,
    ( use != use
    | spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f264,f399]) ).

fof(f495,plain,
    ( $false
    | spl0_18 ),
    inference(trivial_equality_resolution,[status(esa)],[f494]) ).

fof(f496,plain,
    spl0_18,
    inference(contradiction_clause,[status(thm)],[f495]) ).

fof(f497,plain,
    ( use != use
    | spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f263,f396]) ).

fof(f498,plain,
    ( $false
    | spl0_17 ),
    inference(trivial_equality_resolution,[status(esa)],[f497]) ).

fof(f499,plain,
    spl0_17,
    inference(contradiction_clause,[status(thm)],[f498]) ).

fof(f500,plain,
    ( use != use
    | spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f262,f393]) ).

fof(f501,plain,
    ( $false
    | spl0_16 ),
    inference(trivial_equality_resolution,[status(esa)],[f500]) ).

fof(f502,plain,
    spl0_16,
    inference(contradiction_clause,[status(thm)],[f501]) ).

fof(f503,plain,
    ( use != use
    | spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f261,f390]) ).

fof(f504,plain,
    ( $false
    | spl0_15 ),
    inference(trivial_equality_resolution,[status(esa)],[f503]) ).

fof(f505,plain,
    spl0_15,
    inference(contradiction_clause,[status(thm)],[f504]) ).

fof(f506,plain,
    ( use != use
    | spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f260,f387]) ).

fof(f507,plain,
    ( $false
    | spl0_14 ),
    inference(trivial_equality_resolution,[status(esa)],[f506]) ).

fof(f508,plain,
    spl0_14,
    inference(contradiction_clause,[status(thm)],[f507]) ).

fof(f509,plain,
    ( use != use
    | spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f259,f384]) ).

fof(f510,plain,
    ( $false
    | spl0_13 ),
    inference(trivial_equality_resolution,[status(esa)],[f509]) ).

fof(f511,plain,
    spl0_13,
    inference(contradiction_clause,[status(thm)],[f510]) ).

fof(f512,plain,
    ( use != use
    | spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f258,f381]) ).

fof(f513,plain,
    ( $false
    | spl0_12 ),
    inference(trivial_equality_resolution,[status(esa)],[f512]) ).

fof(f514,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f513]) ).

fof(f515,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f257,f378]) ).

fof(f516,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f515]) ).

fof(f517,plain,
    ( use != use
    | spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f256,f375]) ).

fof(f518,plain,
    ( $false
    | spl0_10 ),
    inference(trivial_equality_resolution,[status(esa)],[f517]) ).

fof(f519,plain,
    spl0_10,
    inference(contradiction_clause,[status(thm)],[f518]) ).

fof(f520,plain,
    ( use != use
    | spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f255,f372]) ).

fof(f521,plain,
    ( $false
    | spl0_9 ),
    inference(trivial_equality_resolution,[status(esa)],[f520]) ).

fof(f522,plain,
    spl0_9,
    inference(contradiction_clause,[status(thm)],[f521]) ).

fof(f523,plain,
    ( use != use
    | spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f254,f369]) ).

fof(f524,plain,
    ( $false
    | spl0_8 ),
    inference(trivial_equality_resolution,[status(esa)],[f523]) ).

fof(f525,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f524]) ).

fof(f526,plain,
    ( use != use
    | spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f253,f366]) ).

fof(f527,plain,
    ( $false
    | spl0_7 ),
    inference(trivial_equality_resolution,[status(esa)],[f526]) ).

fof(f528,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f527]) ).

fof(f529,plain,
    ( use != use
    | spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f252,f363]) ).

fof(f530,plain,
    ( $false
    | spl0_6 ),
    inference(trivial_equality_resolution,[status(esa)],[f529]) ).

fof(f531,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f530]) ).

fof(f532,plain,
    ( use != use
    | spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f251,f360]) ).

fof(f533,plain,
    ( $false
    | spl0_5 ),
    inference(trivial_equality_resolution,[status(esa)],[f532]) ).

fof(f534,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f533]) ).

fof(f535,plain,
    ( use != use
    | spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f250,f357]) ).

fof(f536,plain,
    ( $false
    | spl0_4 ),
    inference(trivial_equality_resolution,[status(esa)],[f535]) ).

fof(f537,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f536]) ).

fof(f538,plain,
    ( use != use
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f249,f354]) ).

fof(f539,plain,
    ( $false
    | spl0_3 ),
    inference(trivial_equality_resolution,[status(esa)],[f538]) ).

fof(f540,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f539]) ).

fof(f541,plain,
    ( use != use
    | spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f248,f351]) ).

fof(f542,plain,
    ( $false
    | spl0_2 ),
    inference(trivial_equality_resolution,[status(esa)],[f541]) ).

fof(f543,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f542]) ).

fof(f544,plain,
    ( use != use
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f247,f348]) ).

fof(f545,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f544]) ).

fof(f546,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f545]) ).

fof(f547,plain,
    ( use != use
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f246,f345]) ).

fof(f548,plain,
    ( $false
    | spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f547]) ).

fof(f549,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f548]) ).

fof(f550,plain,
    ( leq(sk0_24,pred(n0))
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f210,f437]) ).

fof(f554,plain,
    ! [X0] :
      ( ~ leq(X0,sk0_24)
      | leq(X0,pred(n0))
      | ~ spl0_30 ),
    inference(resolution,[status(thm)],[f550,f95]) ).

fof(f573,plain,
    succ(n1) = n2,
    inference(forward_demodulation,[status(thm)],[f313,f314]) ).

fof(f642,plain,
    ( spl0_50
  <=> n0 = n2 ),
    introduced(split_symbol_definition) ).

fof(f643,plain,
    ( n0 = n2
    | ~ spl0_50 ),
    inference(component_clause,[status(thm)],[f642]) ).

fof(f732,plain,
    leq(tptp_minus_1,n2),
    inference(resolution,[status(thm)],[f105,f283]) ).

fof(f795,plain,
    ! [X0] :
      ( ~ leq(X0,sk0_24)
      | leq(X0,tptp_minus_1)
      | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f450,f554]) ).

fof(f796,plain,
    ( leq(n0,tptp_minus_1)
    | ~ spl0_30
    | ~ spl0_28 ),
    inference(resolution,[status(thm)],[f795,f429]) ).

fof(f806,plain,
    ( spl0_67
  <=> tptp_minus_1 = n0 ),
    introduced(split_symbol_definition) ).

fof(f807,plain,
    ( tptp_minus_1 = n0
    | ~ spl0_67 ),
    inference(component_clause,[status(thm)],[f806]) ).

fof(f809,plain,
    ( spl0_68
  <=> tptp_minus_1 = n1 ),
    introduced(split_symbol_definition) ).

fof(f810,plain,
    ( tptp_minus_1 = n1
    | ~ spl0_68 ),
    inference(component_clause,[status(thm)],[f809]) ).

fof(f812,plain,
    ( spl0_69
  <=> tptp_minus_1 = n2 ),
    introduced(split_symbol_definition) ).

fof(f813,plain,
    ( tptp_minus_1 = n2
    | ~ spl0_69 ),
    inference(component_clause,[status(thm)],[f812]) ).

fof(f947,plain,
    ( spl0_92
  <=> leq(tptp_minus_1,n2) ),
    introduced(split_symbol_definition) ).

fof(f949,plain,
    ( ~ leq(tptp_minus_1,n2)
    | spl0_92 ),
    inference(component_clause,[status(thm)],[f947]) ).

fof(f950,plain,
    ( ~ leq(tptp_minus_1,n2)
    | tptp_minus_1 = n0
    | tptp_minus_1 = n1
    | tptp_minus_1 = n2
    | ~ spl0_30
    | ~ spl0_28 ),
    inference(resolution,[status(thm)],[f308,f796]) ).

fof(f951,plain,
    ( ~ spl0_92
    | spl0_67
    | spl0_68
    | spl0_69
    | ~ spl0_30
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f950,f947,f806,f809,f812,f436,f428]) ).

fof(f1318,plain,
    ( gt(n0,n0)
    | ~ spl0_67 ),
    inference(backward_demodulation,[status(thm)],[f807,f281]) ).

fof(f1319,plain,
    ( $false
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1318,f91]) ).

fof(f1320,plain,
    ~ spl0_67,
    inference(contradiction_clause,[status(thm)],[f1319]) ).

fof(f1332,plain,
    ( succ(tptp_minus_1) = n2
    | ~ spl0_68 ),
    inference(backward_demodulation,[status(thm)],[f810,f573]) ).

fof(f1358,plain,
    ( gt(n0,n0)
    | ~ spl0_50 ),
    inference(backward_demodulation,[status(thm)],[f643,f288]) ).

fof(f1359,plain,
    ( $false
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1358,f91]) ).

fof(f1360,plain,
    ~ spl0_50,
    inference(contradiction_clause,[status(thm)],[f1359]) ).

fof(f1814,plain,
    ( $false
    | spl0_92 ),
    inference(forward_subsumption_resolution,[status(thm)],[f949,f732]) ).

fof(f1815,plain,
    spl0_92,
    inference(contradiction_clause,[status(thm)],[f1814]) ).

fof(f2015,plain,
    ( gt(tptp_minus_1,tptp_minus_1)
    | ~ spl0_69 ),
    inference(backward_demodulation,[status(thm)],[f813,f283]) ).

fof(f2016,plain,
    ( $false
    | ~ spl0_69 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2015,f91]) ).

fof(f2017,plain,
    ~ spl0_69,
    inference(contradiction_clause,[status(thm)],[f2016]) ).

fof(f2019,plain,
    ( n0 = n2
    | ~ spl0_68 ),
    inference(forward_demodulation,[status(thm)],[f199,f1332]) ).

fof(f2047,plain,
    ( spl0_50
    | ~ spl0_68 ),
    inference(split_clause,[status(thm)],[f2019,f642,f809]) ).

fof(f2048,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f431,f439,f472,f475,f478,f481,f484,f487,f490,f493,f496,f499,f502,f505,f508,f511,f514,f516,f519,f522,f525,f528,f531,f534,f537,f540,f543,f546,f549,f951,f1320,f1360,f1815,f2017,f2047]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV092+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 11:31:52 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40  % Elapsed time: 0.053588 seconds
% 0.20/0.40  % CPU time: 0.197892 seconds
% 0.20/0.40  % Memory used: 23.749 MB
%------------------------------------------------------------------------------