TSTP Solution File: SWV092+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWV092+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n019.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 : Mon Jun 24 17:48:30 EDT 2024

% Result   : Theorem 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  194 (  75 unt;   0 def)
%            Number of atoms       :  785 ( 497 equ)
%            Maximal formula atoms :   60 (   4 avg)
%            Number of connectives :  854 ( 263   ~; 278   |; 274   &)
%                                         (  30 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   33 (  31 usr;  30 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  17 con; 0-3 aty)
%            Number of variables   :   51 (  45   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2050,plain,
    $false,
    inference(avatar_sat_refutation,[],[f513,f521,f567,f569,f571,f573,f575,f577,f579,f581,f583,f585,f587,f589,f591,f593,f595,f597,f599,f601,f603,f605,f607,f609,f611,f613,f615,f617,f619,f2038]) ).

fof(f2038,plain,
    ( ~ spl33_30
    | ~ spl33_32 ),
    inference(avatar_contradiction_clause,[],[f2037]) ).

fof(f2037,plain,
    ( $false
    | ~ spl33_30
    | ~ spl33_32 ),
    inference(subsumption_resolution,[],[f2034,f1116]) ).

fof(f1116,plain,
    ~ leq(n0,tptp_minus_1),
    inference(superposition,[],[f1105,f930]) ).

fof(f930,plain,
    n0 = sF39(tptp_minus_1),
    inference(superposition,[],[f534,f394]) ).

fof(f394,plain,
    n0 = plus(tptp_minus_1,n1),
    inference(definition_unfolding,[],[f274,f285]) ).

fof(f285,plain,
    ! [X0] : succ(X0) = plus(X0,n1),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] : succ(X0) = plus(X0,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f274,plain,
    n0 = succ(tptp_minus_1),
    inference(cnf_transformation,[],[f28]) ).

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

fof(f534,plain,
    ! [X0] : plus(X0,n1) = sF39(X0),
    introduced(function_definition,[new_symbols(definition,[sF39])]) ).

fof(f1105,plain,
    ! [X0] : ~ leq(sF39(X0),X0),
    inference(resolution,[],[f628,f279]) ).

fof(f279,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f628,plain,
    ! [X0,X1] :
      ( gt(sF39(X1),X0)
      | ~ leq(X0,X1) ),
    inference(backward_demodulation,[],[f414,f534]) ).

fof(f414,plain,
    ! [X0,X1] :
      ( gt(plus(X1,n1),X0)
      | ~ leq(X0,X1) ),
    inference(definition_unfolding,[],[f326,f285]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( gt(succ(X1),X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | ~ gt(succ(X1),X0) )
      & ( gt(succ(X1),X0)
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> gt(succ(X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2034,plain,
    ( leq(n0,tptp_minus_1)
    | ~ spl33_30
    | ~ spl33_32 ),
    inference(backward_demodulation,[],[f975,f2030]) ).

fof(f2030,plain,
    ( n0 = sK5
    | ~ spl33_30
    | ~ spl33_32 ),
    inference(subsumption_resolution,[],[f2023,f520]) ).

fof(f520,plain,
    ( leq(n0,sK5)
    | ~ spl33_32 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f519,plain,
    ( spl33_32
  <=> leq(n0,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_32])]) ).

fof(f2023,plain,
    ( n0 = sK5
    | ~ leq(n0,sK5)
    | ~ spl33_30 ),
    inference(resolution,[],[f302,f1057]) ).

fof(f1057,plain,
    ( leq(sK5,n0)
    | ~ spl33_30 ),
    inference(resolution,[],[f1046,f975]) ).

fof(f1046,plain,
    ! [X0] :
      ( ~ leq(X0,tptp_minus_1)
      | leq(X0,n0) ),
    inference(superposition,[],[f625,f930]) ).

fof(f625,plain,
    ! [X0,X1] :
      ( leq(X0,sF39(X1))
      | ~ leq(X0,X1) ),
    inference(backward_demodulation,[],[f411,f534]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( leq(X0,plus(X1,n1))
      | ~ leq(X0,X1) ),
    inference(definition_unfolding,[],[f307,f285]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( leq(X0,succ(X1))
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( leq(X0,succ(X1))
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
     => leq(X0,succ(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f302,plain,
    ! [X0] :
      ( ~ leq(X0,n0)
      | n0 = X0
      | ~ leq(n0,X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(X0,n0)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(X0,n0)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ( leq(X0,n0)
        & leq(n0,X0) )
     => n0 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f975,plain,
    ( leq(sK5,tptp_minus_1)
    | ~ spl33_30 ),
    inference(backward_demodulation,[],[f683,f970]) ).

fof(f970,plain,
    tptp_minus_1 = sF45(n0),
    inference(superposition,[],[f965,f930]) ).

fof(f965,plain,
    ! [X0] : sF45(sF39(X0)) = X0,
    inference(superposition,[],[f621,f556]) ).

fof(f556,plain,
    ! [X0] : minus(X0,n1) = sF45(X0),
    introduced(function_definition,[new_symbols(definition,[sF45])]) ).

fof(f621,plain,
    ! [X0] : minus(sF39(X0),n1) = X0,
    inference(backward_demodulation,[],[f400,f534]) ).

fof(f400,plain,
    ! [X0] : minus(plus(X0,n1),n1) = X0,
    inference(definition_unfolding,[],[f282,f287,f285]) ).

fof(f287,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f282,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f683,plain,
    ( leq(sK5,sF45(n0))
    | ~ spl33_30 ),
    inference(backward_demodulation,[],[f512,f556]) ).

fof(f512,plain,
    ( leq(sK5,minus(n0,n1))
    | ~ spl33_30 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl33_30
  <=> leq(sK5,minus(n0,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_30])]) ).

fof(f619,plain,
    spl33_27,
    inference(avatar_contradiction_clause,[],[f618]) ).

fof(f618,plain,
    ( $false
    | spl33_27 ),
    inference(subsumption_resolution,[],[f502,f245]) ).

fof(f245,plain,
    use = a_select2(xinit_noise_defuse,n5),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ( ( ( ( use != a_select3(z_defuse,sK4,sK5)
          | use != a_select3(u_defuse,sK4,sK5) )
        & leq(sK5,minus(n0,n1))
        & leq(sK4,n2)
        & leq(n0,sK5)
        & leq(n0,sK4) )
      | use != a_select2(xinit_noise_defuse,n5)
      | use != a_select2(xinit_noise_defuse,n4)
      | use != a_select2(xinit_noise_defuse,n3)
      | use != a_select2(xinit_noise_defuse,n2)
      | use != a_select2(xinit_noise_defuse,n1)
      | use != a_select2(xinit_noise_defuse,n0)
      | use != a_select2(xinit_mean_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n3)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n0)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_defuse,n3)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select3(u_defuse,n0,n0)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(sigma_defuse,n3)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(rho_defuse,n0) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f110,f170]) ).

fof(f170,plain,
    ( ? [X0,X1] :
        ( ( use != a_select3(z_defuse,X0,X1)
          | use != a_select3(u_defuse,X0,X1) )
        & leq(X1,minus(n0,n1))
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( ( use != a_select3(z_defuse,sK4,sK5)
        | use != a_select3(u_defuse,sK4,sK5) )
      & leq(sK5,minus(n0,n1))
      & leq(sK4,n2)
      & leq(n0,sK5)
      & leq(n0,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ( ( ? [X0,X1] :
          ( ( use != a_select3(z_defuse,X0,X1)
            | use != a_select3(u_defuse,X0,X1) )
          & leq(X1,minus(n0,n1))
          & leq(X0,n2)
          & leq(n0,X1)
          & leq(n0,X0) )
      | use != a_select2(xinit_noise_defuse,n5)
      | use != a_select2(xinit_noise_defuse,n4)
      | use != a_select2(xinit_noise_defuse,n3)
      | use != a_select2(xinit_noise_defuse,n2)
      | use != a_select2(xinit_noise_defuse,n1)
      | use != a_select2(xinit_noise_defuse,n0)
      | use != a_select2(xinit_mean_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n3)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n0)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_defuse,n3)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select3(u_defuse,n0,n0)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(sigma_defuse,n3)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(rho_defuse,n0) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ( ( ? [X0,X1] :
          ( ( use != a_select3(z_defuse,X0,X1)
            | use != a_select3(u_defuse,X0,X1) )
          & leq(X1,minus(n0,n1))
          & leq(X0,n2)
          & leq(n0,X1)
          & leq(n0,X0) )
      | use != a_select2(xinit_noise_defuse,n5)
      | use != a_select2(xinit_noise_defuse,n4)
      | use != a_select2(xinit_noise_defuse,n3)
      | use != a_select2(xinit_noise_defuse,n2)
      | use != a_select2(xinit_noise_defuse,n1)
      | use != a_select2(xinit_noise_defuse,n0)
      | use != a_select2(xinit_mean_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n3)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_mean_defuse,n0)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_defuse,n3)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select3(u_defuse,n0,n0)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(sigma_defuse,n3)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(rho_defuse,n0) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ~ ( ( use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0) )
     => ( ! [X0,X1] :
            ( ( leq(X1,minus(n0,n1))
              & leq(X0,n2)
              & leq(n0,X1)
              & leq(n0,X0) )
           => ( use = a_select3(z_defuse,X0,X1)
              & use = a_select3(u_defuse,X0,X1) ) )
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0) )
     => ( ! [X13,X17] :
            ( ( leq(X17,minus(n0,n1))
              & leq(X13,n2)
              & leq(n0,X17)
              & leq(n0,X13) )
           => ( use = a_select3(z_defuse,X13,X17)
              & use = a_select3(u_defuse,X13,X17) ) )
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select2(xinit_noise_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n2)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(xinit_mean_defuse,n0)
      & use = a_select2(xinit_defuse,n5)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(sigma_defuse,n2)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(rho_defuse,n0) )
   => ( ! [X13,X17] :
          ( ( leq(X17,minus(n0,n1))
            & leq(X13,n2)
            & leq(n0,X17)
            & leq(n0,X13) )
         => ( use = a_select3(z_defuse,X13,X17)
            & use = a_select3(u_defuse,X13,X17) ) )
      & use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select2(xinit_noise_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n2)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(xinit_mean_defuse,n0)
      & use = a_select2(xinit_defuse,n5)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(sigma_defuse,n2)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(rho_defuse,n0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f502,plain,
    ( use != a_select2(xinit_noise_defuse,n5)
    | spl33_27 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl33_27
  <=> use = a_select2(xinit_noise_defuse,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_27])]) ).

fof(f617,plain,
    spl33_26,
    inference(avatar_contradiction_clause,[],[f616]) ).

fof(f616,plain,
    ( $false
    | spl33_26 ),
    inference(subsumption_resolution,[],[f499,f244]) ).

fof(f244,plain,
    use = a_select2(xinit_noise_defuse,n4),
    inference(cnf_transformation,[],[f171]) ).

fof(f499,plain,
    ( use != a_select2(xinit_noise_defuse,n4)
    | spl33_26 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f498,plain,
    ( spl33_26
  <=> use = a_select2(xinit_noise_defuse,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_26])]) ).

fof(f615,plain,
    spl33_25,
    inference(avatar_contradiction_clause,[],[f614]) ).

fof(f614,plain,
    ( $false
    | spl33_25 ),
    inference(subsumption_resolution,[],[f496,f243]) ).

fof(f243,plain,
    use = a_select2(xinit_noise_defuse,n3),
    inference(cnf_transformation,[],[f171]) ).

fof(f496,plain,
    ( use != a_select2(xinit_noise_defuse,n3)
    | spl33_25 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f495,plain,
    ( spl33_25
  <=> use = a_select2(xinit_noise_defuse,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_25])]) ).

fof(f613,plain,
    spl33_24,
    inference(avatar_contradiction_clause,[],[f612]) ).

fof(f612,plain,
    ( $false
    | spl33_24 ),
    inference(subsumption_resolution,[],[f493,f242]) ).

fof(f242,plain,
    use = a_select2(xinit_noise_defuse,n2),
    inference(cnf_transformation,[],[f171]) ).

fof(f493,plain,
    ( use != a_select2(xinit_noise_defuse,n2)
    | spl33_24 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f492,plain,
    ( spl33_24
  <=> use = a_select2(xinit_noise_defuse,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_24])]) ).

fof(f611,plain,
    spl33_23,
    inference(avatar_contradiction_clause,[],[f610]) ).

fof(f610,plain,
    ( $false
    | spl33_23 ),
    inference(subsumption_resolution,[],[f490,f241]) ).

fof(f241,plain,
    use = a_select2(xinit_noise_defuse,n1),
    inference(cnf_transformation,[],[f171]) ).

fof(f490,plain,
    ( use != a_select2(xinit_noise_defuse,n1)
    | spl33_23 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f489,plain,
    ( spl33_23
  <=> use = a_select2(xinit_noise_defuse,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).

fof(f609,plain,
    spl33_22,
    inference(avatar_contradiction_clause,[],[f608]) ).

fof(f608,plain,
    ( $false
    | spl33_22 ),
    inference(subsumption_resolution,[],[f487,f240]) ).

fof(f240,plain,
    use = a_select2(xinit_noise_defuse,n0),
    inference(cnf_transformation,[],[f171]) ).

fof(f487,plain,
    ( use != a_select2(xinit_noise_defuse,n0)
    | spl33_22 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f486,plain,
    ( spl33_22
  <=> use = a_select2(xinit_noise_defuse,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).

fof(f607,plain,
    spl33_21,
    inference(avatar_contradiction_clause,[],[f606]) ).

fof(f606,plain,
    ( $false
    | spl33_21 ),
    inference(subsumption_resolution,[],[f484,f239]) ).

fof(f239,plain,
    use = a_select2(xinit_mean_defuse,n5),
    inference(cnf_transformation,[],[f171]) ).

fof(f484,plain,
    ( use != a_select2(xinit_mean_defuse,n5)
    | spl33_21 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f483,plain,
    ( spl33_21
  <=> use = a_select2(xinit_mean_defuse,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_21])]) ).

fof(f605,plain,
    spl33_20,
    inference(avatar_contradiction_clause,[],[f604]) ).

fof(f604,plain,
    ( $false
    | spl33_20 ),
    inference(subsumption_resolution,[],[f481,f238]) ).

fof(f238,plain,
    use = a_select2(xinit_mean_defuse,n4),
    inference(cnf_transformation,[],[f171]) ).

fof(f481,plain,
    ( use != a_select2(xinit_mean_defuse,n4)
    | spl33_20 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f480,plain,
    ( spl33_20
  <=> use = a_select2(xinit_mean_defuse,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_20])]) ).

fof(f603,plain,
    spl33_19,
    inference(avatar_contradiction_clause,[],[f602]) ).

fof(f602,plain,
    ( $false
    | spl33_19 ),
    inference(subsumption_resolution,[],[f478,f237]) ).

fof(f237,plain,
    use = a_select2(xinit_mean_defuse,n3),
    inference(cnf_transformation,[],[f171]) ).

fof(f478,plain,
    ( use != a_select2(xinit_mean_defuse,n3)
    | spl33_19 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl33_19
  <=> use = a_select2(xinit_mean_defuse,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_19])]) ).

fof(f601,plain,
    spl33_18,
    inference(avatar_contradiction_clause,[],[f600]) ).

fof(f600,plain,
    ( $false
    | spl33_18 ),
    inference(subsumption_resolution,[],[f475,f236]) ).

fof(f236,plain,
    use = a_select2(xinit_mean_defuse,n2),
    inference(cnf_transformation,[],[f171]) ).

fof(f475,plain,
    ( use != a_select2(xinit_mean_defuse,n2)
    | spl33_18 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl33_18
  <=> use = a_select2(xinit_mean_defuse,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).

fof(f599,plain,
    spl33_17,
    inference(avatar_contradiction_clause,[],[f598]) ).

fof(f598,plain,
    ( $false
    | spl33_17 ),
    inference(subsumption_resolution,[],[f472,f235]) ).

fof(f235,plain,
    use = a_select2(xinit_mean_defuse,n1),
    inference(cnf_transformation,[],[f171]) ).

fof(f472,plain,
    ( use != a_select2(xinit_mean_defuse,n1)
    | spl33_17 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f471,plain,
    ( spl33_17
  <=> use = a_select2(xinit_mean_defuse,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_17])]) ).

fof(f597,plain,
    spl33_16,
    inference(avatar_contradiction_clause,[],[f596]) ).

fof(f596,plain,
    ( $false
    | spl33_16 ),
    inference(subsumption_resolution,[],[f469,f234]) ).

fof(f234,plain,
    use = a_select2(xinit_mean_defuse,n0),
    inference(cnf_transformation,[],[f171]) ).

fof(f469,plain,
    ( use != a_select2(xinit_mean_defuse,n0)
    | spl33_16 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f468,plain,
    ( spl33_16
  <=> use = a_select2(xinit_mean_defuse,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_16])]) ).

fof(f595,plain,
    spl33_15,
    inference(avatar_contradiction_clause,[],[f594]) ).

fof(f594,plain,
    ( $false
    | spl33_15 ),
    inference(subsumption_resolution,[],[f466,f233]) ).

fof(f233,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f171]) ).

fof(f466,plain,
    ( use != a_select2(xinit_defuse,n5)
    | spl33_15 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f465,plain,
    ( spl33_15
  <=> use = a_select2(xinit_defuse,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_15])]) ).

fof(f593,plain,
    spl33_14,
    inference(avatar_contradiction_clause,[],[f592]) ).

fof(f592,plain,
    ( $false
    | spl33_14 ),
    inference(subsumption_resolution,[],[f463,f232]) ).

fof(f232,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f171]) ).

fof(f463,plain,
    ( use != a_select2(xinit_defuse,n4)
    | spl33_14 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl33_14
  <=> use = a_select2(xinit_defuse,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).

fof(f591,plain,
    spl33_13,
    inference(avatar_contradiction_clause,[],[f590]) ).

fof(f590,plain,
    ( $false
    | spl33_13 ),
    inference(subsumption_resolution,[],[f460,f231]) ).

fof(f231,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f171]) ).

fof(f460,plain,
    ( use != a_select2(xinit_defuse,n3)
    | spl33_13 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f459,plain,
    ( spl33_13
  <=> use = a_select2(xinit_defuse,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).

fof(f589,plain,
    spl33_12,
    inference(avatar_contradiction_clause,[],[f588]) ).

fof(f588,plain,
    ( $false
    | spl33_12 ),
    inference(subsumption_resolution,[],[f457,f230]) ).

fof(f230,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f171]) ).

fof(f457,plain,
    ( use != a_select3(u_defuse,n2,n0)
    | spl33_12 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl33_12
  <=> use = a_select3(u_defuse,n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_12])]) ).

fof(f587,plain,
    spl33_11,
    inference(avatar_contradiction_clause,[],[f586]) ).

fof(f586,plain,
    ( $false
    | spl33_11 ),
    inference(subsumption_resolution,[],[f454,f229]) ).

fof(f229,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f171]) ).

fof(f454,plain,
    ( use != a_select3(u_defuse,n1,n0)
    | spl33_11 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f453,plain,
    ( spl33_11
  <=> use = a_select3(u_defuse,n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_11])]) ).

fof(f585,plain,
    spl33_10,
    inference(avatar_contradiction_clause,[],[f584]) ).

fof(f584,plain,
    ( $false
    | spl33_10 ),
    inference(subsumption_resolution,[],[f451,f228]) ).

fof(f228,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f171]) ).

fof(f451,plain,
    ( use != a_select3(u_defuse,n0,n0)
    | spl33_10 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl33_10
  <=> use = a_select3(u_defuse,n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_10])]) ).

fof(f583,plain,
    spl33_9,
    inference(avatar_contradiction_clause,[],[f582]) ).

fof(f582,plain,
    ( $false
    | spl33_9 ),
    inference(subsumption_resolution,[],[f448,f227]) ).

fof(f227,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f171]) ).

fof(f448,plain,
    ( use != a_select2(sigma_defuse,n5)
    | spl33_9 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f447,plain,
    ( spl33_9
  <=> use = a_select2(sigma_defuse,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_9])]) ).

fof(f581,plain,
    spl33_8,
    inference(avatar_contradiction_clause,[],[f580]) ).

fof(f580,plain,
    ( $false
    | spl33_8 ),
    inference(subsumption_resolution,[],[f445,f226]) ).

fof(f226,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f171]) ).

fof(f445,plain,
    ( use != a_select2(sigma_defuse,n4)
    | spl33_8 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl33_8
  <=> use = a_select2(sigma_defuse,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).

fof(f579,plain,
    spl33_7,
    inference(avatar_contradiction_clause,[],[f578]) ).

fof(f578,plain,
    ( $false
    | spl33_7 ),
    inference(subsumption_resolution,[],[f442,f225]) ).

fof(f225,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f171]) ).

fof(f442,plain,
    ( use != a_select2(sigma_defuse,n3)
    | spl33_7 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f441,plain,
    ( spl33_7
  <=> use = a_select2(sigma_defuse,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).

fof(f577,plain,
    spl33_6,
    inference(avatar_contradiction_clause,[],[f576]) ).

fof(f576,plain,
    ( $false
    | spl33_6 ),
    inference(subsumption_resolution,[],[f439,f224]) ).

fof(f224,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f171]) ).

fof(f439,plain,
    ( use != a_select2(sigma_defuse,n2)
    | spl33_6 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f438,plain,
    ( spl33_6
  <=> use = a_select2(sigma_defuse,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).

fof(f575,plain,
    spl33_5,
    inference(avatar_contradiction_clause,[],[f574]) ).

fof(f574,plain,
    ( $false
    | spl33_5 ),
    inference(subsumption_resolution,[],[f436,f223]) ).

fof(f223,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f171]) ).

fof(f436,plain,
    ( use != a_select2(sigma_defuse,n1)
    | spl33_5 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl33_5
  <=> use = a_select2(sigma_defuse,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).

fof(f573,plain,
    spl33_4,
    inference(avatar_contradiction_clause,[],[f572]) ).

fof(f572,plain,
    ( $false
    | spl33_4 ),
    inference(subsumption_resolution,[],[f433,f222]) ).

fof(f222,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f171]) ).

fof(f433,plain,
    ( use != a_select2(sigma_defuse,n0)
    | spl33_4 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f432,plain,
    ( spl33_4
  <=> use = a_select2(sigma_defuse,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).

fof(f571,plain,
    spl33_3,
    inference(avatar_contradiction_clause,[],[f570]) ).

fof(f570,plain,
    ( $false
    | spl33_3 ),
    inference(subsumption_resolution,[],[f430,f221]) ).

fof(f221,plain,
    use = a_select2(rho_defuse,n2),
    inference(cnf_transformation,[],[f171]) ).

fof(f430,plain,
    ( use != a_select2(rho_defuse,n2)
    | spl33_3 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f429,plain,
    ( spl33_3
  <=> use = a_select2(rho_defuse,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).

fof(f569,plain,
    spl33_2,
    inference(avatar_contradiction_clause,[],[f568]) ).

fof(f568,plain,
    ( $false
    | spl33_2 ),
    inference(subsumption_resolution,[],[f427,f220]) ).

fof(f220,plain,
    use = a_select2(rho_defuse,n1),
    inference(cnf_transformation,[],[f171]) ).

fof(f427,plain,
    ( use != a_select2(rho_defuse,n1)
    | spl33_2 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl33_2
  <=> use = a_select2(rho_defuse,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).

fof(f567,plain,
    spl33_1,
    inference(avatar_contradiction_clause,[],[f566]) ).

fof(f566,plain,
    ( $false
    | spl33_1 ),
    inference(subsumption_resolution,[],[f424,f219]) ).

fof(f219,plain,
    use = a_select2(rho_defuse,n0),
    inference(cnf_transformation,[],[f171]) ).

fof(f424,plain,
    ( use != a_select2(rho_defuse,n0)
    | spl33_1 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f423,plain,
    ( spl33_1
  <=> use = a_select2(rho_defuse,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).

fof(f521,plain,
    ( ~ spl33_1
    | ~ spl33_2
    | ~ spl33_3
    | ~ spl33_4
    | ~ spl33_5
    | ~ spl33_6
    | ~ spl33_7
    | ~ spl33_8
    | ~ spl33_9
    | ~ spl33_10
    | ~ spl33_11
    | ~ spl33_12
    | ~ spl33_13
    | ~ spl33_14
    | ~ spl33_15
    | ~ spl33_16
    | ~ spl33_17
    | ~ spl33_18
    | ~ spl33_19
    | ~ spl33_20
    | ~ spl33_21
    | ~ spl33_22
    | ~ spl33_23
    | ~ spl33_24
    | ~ spl33_25
    | ~ spl33_26
    | ~ spl33_27
    | spl33_32 ),
    inference(avatar_split_clause,[],[f247,f519,f501,f498,f495,f492,f489,f486,f483,f480,f477,f474,f471,f468,f465,f462,f459,f456,f453,f450,f447,f444,f441,f438,f435,f432,f429,f426,f423]) ).

fof(f247,plain,
    ( leq(n0,sK5)
    | use != a_select2(xinit_noise_defuse,n5)
    | use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(xinit_noise_defuse,n3)
    | use != a_select2(xinit_noise_defuse,n2)
    | use != a_select2(xinit_noise_defuse,n1)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n3)
    | use != a_select2(xinit_mean_defuse,n2)
    | use != a_select2(xinit_mean_defuse,n1)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(sigma_defuse,n3)
    | use != a_select2(sigma_defuse,n2)
    | use != a_select2(sigma_defuse,n1)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(rho_defuse,n1)
    | use != a_select2(rho_defuse,n0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f513,plain,
    ( ~ spl33_1
    | ~ spl33_2
    | ~ spl33_3
    | ~ spl33_4
    | ~ spl33_5
    | ~ spl33_6
    | ~ spl33_7
    | ~ spl33_8
    | ~ spl33_9
    | ~ spl33_10
    | ~ spl33_11
    | ~ spl33_12
    | ~ spl33_13
    | ~ spl33_14
    | ~ spl33_15
    | ~ spl33_16
    | ~ spl33_17
    | ~ spl33_18
    | ~ spl33_19
    | ~ spl33_20
    | ~ spl33_21
    | ~ spl33_22
    | ~ spl33_23
    | ~ spl33_24
    | ~ spl33_25
    | ~ spl33_26
    | ~ spl33_27
    | spl33_30 ),
    inference(avatar_split_clause,[],[f249,f511,f501,f498,f495,f492,f489,f486,f483,f480,f477,f474,f471,f468,f465,f462,f459,f456,f453,f450,f447,f444,f441,f438,f435,f432,f429,f426,f423]) ).

fof(f249,plain,
    ( leq(sK5,minus(n0,n1))
    | use != a_select2(xinit_noise_defuse,n5)
    | use != a_select2(xinit_noise_defuse,n4)
    | use != a_select2(xinit_noise_defuse,n3)
    | use != a_select2(xinit_noise_defuse,n2)
    | use != a_select2(xinit_noise_defuse,n1)
    | use != a_select2(xinit_noise_defuse,n0)
    | use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n3)
    | use != a_select2(xinit_mean_defuse,n2)
    | use != a_select2(xinit_mean_defuse,n1)
    | use != a_select2(xinit_mean_defuse,n0)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(sigma_defuse,n3)
    | use != a_select2(sigma_defuse,n2)
    | use != a_select2(sigma_defuse,n1)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(rho_defuse,n1)
    | use != a_select2(rho_defuse,n0) ),
    inference(cnf_transformation,[],[f171]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV092+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.11/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Jun 20 14:50:24 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35  Running first-order model finding
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42  % (20807)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20812)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.42  % (20807)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20811)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.42  % (20807)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20808)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.42  % (20807)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20813)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.42  % (20807)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20814)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.42  % (20807)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20810)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.42  % (20807)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20809)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.21/0.45  Cannot represent all propositional literals internally
% 0.21/0.45  % (20811)Refutation not found, incomplete strategy% (20811)------------------------------
% 0.21/0.45  % (20811)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (20811)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (20811)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45  
% 0.21/0.45  % (20811)Memory used [KB]: 1758
% 0.21/0.45  % (20811)Time elapsed: 0.029 s
% 0.21/0.45  % (20811)Instructions burned: 62 (million)
% 0.21/0.45  % (20811)------------------------------
% 0.21/0.45  % (20811)------------------------------
% 0.21/0.47  TRYING [1]
% 0.21/0.47  TRYING [2]
% 0.21/0.47  % (20814)Instruction limit reached!
% 0.21/0.47  % (20814)------------------------------
% 0.21/0.47  % (20814)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (20814)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (20814)Termination reason: Time limit
% 0.21/0.47  % (20814)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (20814)Memory used [KB]: 1824
% 0.21/0.47  % (20814)Time elapsed: 0.058 s
% 0.21/0.47  % (20814)Instructions burned: 116 (million)
% 0.21/0.48  % (20812)Instruction limit reached!
% 0.21/0.48  % (20812)------------------------------
% 0.21/0.48  % (20812)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (20812)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (20812)Termination reason: Time limit
% 0.21/0.48  % (20812)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (20812)Memory used [KB]: 1844
% 0.21/0.48  % (20812)Time elapsed: 0.062 s
% 0.21/0.48  % (20812)Instructions burned: 104 (million)
% 0.21/0.48  % (20813)First to succeed.
% 0.21/0.49  % (20813)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20807"
% 0.21/0.49  % (20807)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49  % (20813)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Theorem for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (20813)------------------------------
% 0.21/0.49  % (20813)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49  % (20813)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49  % (20813)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (20813)Memory used [KB]: 1836
% 0.21/0.49  % (20813)Time elapsed: 0.070 s
% 0.21/0.49  % (20813)Instructions burned: 120 (million)
% 0.21/0.49  % (20813)------------------------------
% 0.21/0.49  % (20813)------------------------------
% 0.21/0.49  % (20807)Success in time 0.118 s
%------------------------------------------------------------------------------