TSTP Solution File: SWV205+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV205+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n008.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 Aug 31 18:44:29 EDT 2022

% Result   : Theorem 0.18s 0.56s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   55 (  16 unt;   0 def)
%            Number of atoms       :  401 ( 273 equ)
%            Maximal formula atoms :   40 (   7 avg)
%            Number of connectives :  424 (  78   ~;  92   |; 234   &)
%                                         (   6 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-3 aty)
%            Number of variables   :   39 (  35   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f426,plain,
    $false,
    inference(avatar_sat_refutation,[],[f289,f334,f350,f361,f385,f394,f419]) ).

fof(f419,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f418,plain,
    ( $false
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f408,f172]) ).

fof(f172,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( use = a_select3(u_defuse,n0,n0)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(sigma_defuse,n5)
    & ! [X0,X1] :
        ( ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | ~ leq(X0,n998)
        | use = a_select3(u_defuse,X1,X0)
        | ~ leq(X1,n2) )
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n5)
    & use != a_select2(sigma_defuse,sK0)
    & leq(n0,sK0)
    & leq(sK0,n5)
    & use = a_select2(xinit_mean_defuse,n3)
    & ! [X3,X4] :
        ( ~ leq(X4,n2)
        | ~ leq(X3,n998)
        | ~ leq(n0,X4)
        | use = a_select3(z_defuse,X4,X3)
        | ~ leq(n0,X3) )
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f128,f129]) ).

fof(f129,plain,
    ( ? [X2] :
        ( use != a_select2(sigma_defuse,X2)
        & leq(n0,X2)
        & leq(X2,n5) )
   => ( use != a_select2(sigma_defuse,sK0)
      & leq(n0,sK0)
      & leq(sK0,n5) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( use = a_select3(u_defuse,n0,n0)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(sigma_defuse,n5)
    & ! [X0,X1] :
        ( ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | ~ leq(X0,n998)
        | use = a_select3(u_defuse,X1,X0)
        | ~ leq(X1,n2) )
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n5)
    & ? [X2] :
        ( use != a_select2(sigma_defuse,X2)
        & leq(n0,X2)
        & leq(X2,n5) )
    & use = a_select2(xinit_mean_defuse,n3)
    & ! [X3,X4] :
        ( ~ leq(X4,n2)
        | ~ leq(X3,n998)
        | ~ leq(n0,X4)
        | use = a_select3(z_defuse,X4,X3)
        | ~ leq(n0,X3) )
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n3) ),
    inference(rectify,[],[f112]) ).

fof(f112,plain,
    ( use = a_select3(u_defuse,n0,n0)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(sigma_defuse,n5)
    & ! [X0,X1] :
        ( ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | ~ leq(X0,n998)
        | use = a_select3(u_defuse,X1,X0)
        | ~ leq(X1,n2) )
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n5)
    & ? [X4] :
        ( use != a_select2(sigma_defuse,X4)
        & leq(n0,X4)
        & leq(X4,n5) )
    & use = a_select2(xinit_mean_defuse,n3)
    & ! [X3,X2] :
        ( ~ leq(X2,n2)
        | ~ leq(X3,n998)
        | ~ leq(n0,X2)
        | use = a_select3(z_defuse,X2,X3)
        | ~ leq(n0,X3) )
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n3) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ( ? [X4] :
        ( use != a_select2(sigma_defuse,X4)
        & leq(X4,n5)
        & leq(n0,X4) )
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & ! [X3,X2] :
        ( use = a_select3(z_defuse,X2,X3)
        | ~ leq(X2,n2)
        | ~ leq(X3,n998)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3) )
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & ! [X0,X1] :
        ( use = a_select3(u_defuse,X1,X0)
        | ~ leq(X0,n998)
        | ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | ~ leq(X1,n2) )
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(rho_defuse,n0)
    & use = a_select3(u_defuse,n2,n0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( use = a_select2(sigma_defuse,n2)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & ! [X3,X2] :
            ( ( leq(X2,n2)
              & leq(X3,n998)
              & leq(n0,X2)
              & leq(n0,X3) )
           => use = a_select3(z_defuse,X2,X3) )
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & ! [X0,X1] :
            ( ( leq(X0,n998)
              & leq(n0,X0)
              & leq(n0,X1)
              & leq(X1,n2) )
           => use = a_select3(u_defuse,X1,X0) )
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(rho_defuse,n0)
        & use = a_select3(u_defuse,n2,n0) )
     => ! [X4] :
          ( ( leq(X4,n5)
            & leq(n0,X4) )
         => use = a_select2(sigma_defuse,X4) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & ! [X17,X13] :
            ( ( leq(n0,X17)
              & leq(X13,n2)
              & leq(X17,n998)
              & leq(n0,X13) )
           => use = a_select3(u_defuse,X13,X17) )
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & ! [X3,X19] :
            ( ( leq(n0,X3)
              & leq(n0,X19)
              & leq(X19,n998)
              & leq(X3,n2) )
           => use = a_select3(z_defuse,X3,X19) )
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(rho_defuse,n0)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n2) )
     => ! [X20] :
          ( ( leq(X20,n5)
            & leq(n0,X20) )
         => use = a_select2(sigma_defuse,X20) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select2(xinit_defuse,n5)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select2(sigma_defuse,n2)
      & ! [X17,X13] :
          ( ( leq(n0,X17)
            & leq(X13,n2)
            & leq(X17,n998)
            & leq(n0,X13) )
         => use = a_select3(u_defuse,X13,X17) )
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(xinit_mean_defuse,n0)
      & ! [X3,X19] :
          ( ( leq(n0,X3)
            & leq(n0,X19)
            & leq(X19,n998)
            & leq(X3,n2) )
         => use = a_select3(z_defuse,X3,X19) )
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(rho_defuse,n0)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(xinit_noise_defuse,n2) )
   => ! [X20] :
        ( ( leq(X20,n5)
          & leq(n0,X20) )
       => use = a_select2(sigma_defuse,X20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0016) ).

fof(f408,plain,
    ( use != a_select2(sigma_defuse,n5)
    | ~ spl1_1 ),
    inference(backward_demodulation,[],[f158,f238]) ).

fof(f238,plain,
    ( n5 = sK0
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl1_1
  <=> n5 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f158,plain,
    use != a_select2(sigma_defuse,sK0),
    inference(cnf_transformation,[],[f130]) ).

fof(f394,plain,
    ~ spl1_7,
    inference(avatar_contradiction_clause,[],[f393]) ).

fof(f393,plain,
    ( $false
    | ~ spl1_7 ),
    inference(subsumption_resolution,[],[f386,f151]) ).

fof(f151,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f130]) ).

fof(f386,plain,
    ( use != a_select2(sigma_defuse,n3)
    | ~ spl1_7 ),
    inference(backward_demodulation,[],[f158,f288]) ).

fof(f288,plain,
    ( n3 = sK0
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl1_7
  <=> n3 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f385,plain,
    ~ spl1_6,
    inference(avatar_contradiction_clause,[],[f384]) ).

fof(f384,plain,
    ( $false
    | ~ spl1_6 ),
    inference(subsumption_resolution,[],[f383,f178]) ).

fof(f178,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f130]) ).

fof(f383,plain,
    ( use != a_select2(sigma_defuse,n4)
    | ~ spl1_6 ),
    inference(forward_demodulation,[],[f158,f284]) ).

fof(f284,plain,
    ( n4 = sK0
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f282,plain,
    ( spl1_6
  <=> n4 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f361,plain,
    ~ spl1_5,
    inference(avatar_contradiction_clause,[],[f360]) ).

fof(f360,plain,
    ( $false
    | ~ spl1_5 ),
    inference(subsumption_resolution,[],[f359,f170]) ).

fof(f170,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f130]) ).

fof(f359,plain,
    ( use != a_select2(sigma_defuse,n1)
    | ~ spl1_5 ),
    inference(forward_demodulation,[],[f158,f280]) ).

fof(f280,plain,
    ( n1 = sK0
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl1_5
  <=> n1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f350,plain,
    ~ spl1_4,
    inference(avatar_contradiction_clause,[],[f349]) ).

fof(f349,plain,
    ( $false
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f348,f175]) ).

fof(f175,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f130]) ).

fof(f348,plain,
    ( use != a_select2(sigma_defuse,n2)
    | ~ spl1_4 ),
    inference(forward_demodulation,[],[f158,f276]) ).

fof(f276,plain,
    ( n2 = sK0
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl1_4
  <=> n2 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f334,plain,
    ~ spl1_3,
    inference(avatar_contradiction_clause,[],[f333]) ).

fof(f333,plain,
    ( $false
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f323,f169]) ).

fof(f169,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f130]) ).

fof(f323,plain,
    ( use != a_select2(sigma_defuse,n0)
    | ~ spl1_3 ),
    inference(backward_demodulation,[],[f158,f272]) ).

fof(f272,plain,
    ( n0 = sK0
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl1_3
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f289,plain,
    ( spl1_3
    | spl1_1
    | spl1_4
    | spl1_5
    | spl1_6
    | spl1_7 ),
    inference(avatar_split_clause,[],[f268,f286,f282,f278,f274,f236,f270]) ).

fof(f268,plain,
    ( n3 = sK0
    | n4 = sK0
    | n1 = sK0
    | n2 = sK0
    | n5 = sK0
    | n0 = sK0 ),
    inference(subsumption_resolution,[],[f250,f156]) ).

fof(f156,plain,
    leq(sK0,n5),
    inference(cnf_transformation,[],[f130]) ).

fof(f250,plain,
    ( n0 = sK0
    | n3 = sK0
    | n2 = sK0
    | n4 = sK0
    | ~ leq(sK0,n5)
    | n1 = sK0
    | n5 = sK0 ),
    inference(resolution,[],[f157,f219]) ).

fof(f219,plain,
    ! [X0] :
      ( n4 = X0
      | n0 = X0
      | n5 = X0
      | n2 = X0
      | n1 = X0
      | n3 = X0
      | ~ leq(n0,X0)
      | ~ leq(X0,n5) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( n2 = X0
      | n5 = X0
      | ~ leq(n0,X0)
      | n3 = X0
      | ~ leq(X0,n5)
      | n0 = X0
      | n4 = X0
      | n1 = X0 ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( n5 = X0
      | n4 = X0
      | n2 = X0
      | n0 = X0
      | n1 = X0
      | n3 = X0
      | ~ leq(n0,X0)
      | ~ leq(X0,n5) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ( leq(n0,X0)
        & leq(X0,n5) )
     => ( n5 = X0
        | n4 = X0
        | n2 = X0
        | n0 = X0
        | n1 = X0
        | n3 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_5) ).

fof(f157,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SWV205+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 19:09:55 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.18/0.53  % (17739)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.53  % (17740)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.54  % (17755)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.54  % (17754)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.54  % (17748)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54  % (17747)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (17756)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54  % (17746)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.54  % (17738)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.55  % (17739)First to succeed.
% 0.18/0.55  % (17747)Instruction limit reached!
% 0.18/0.55  % (17747)------------------------------
% 0.18/0.55  % (17747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (17735)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.56  % (17747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (17747)Termination reason: Unknown
% 0.18/0.56  % (17747)Termination phase: Function definition elimination
% 0.18/0.56  
% 0.18/0.56  % (17747)Memory used [KB]: 1663
% 0.18/0.56  % (17747)Time elapsed: 0.007 s
% 0.18/0.56  % (17747)Instructions burned: 7 (million)
% 0.18/0.56  % (17747)------------------------------
% 0.18/0.56  % (17747)------------------------------
% 0.18/0.56  % (17746)Instruction limit reached!
% 0.18/0.56  % (17746)------------------------------
% 0.18/0.56  % (17746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (17746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (17746)Termination reason: Unknown
% 0.18/0.56  % (17746)Termination phase: Naming
% 0.18/0.56  
% 0.18/0.56  % (17746)Memory used [KB]: 1535
% 0.18/0.56  % (17746)Time elapsed: 0.005 s
% 0.18/0.56  % (17746)Instructions burned: 3 (million)
% 0.18/0.56  % (17746)------------------------------
% 0.18/0.56  % (17746)------------------------------
% 0.18/0.56  % (17739)Refutation found. Thanks to Tanya!
% 0.18/0.56  % SZS status Theorem for theBenchmark
% 0.18/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.56  % (17739)------------------------------
% 1.65/0.56  % (17739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56  % (17739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56  % (17739)Termination reason: Refutation
% 1.65/0.56  
% 1.65/0.56  % (17739)Memory used [KB]: 6268
% 1.65/0.56  % (17739)Time elapsed: 0.142 s
% 1.65/0.56  % (17739)Instructions burned: 10 (million)
% 1.65/0.56  % (17739)------------------------------
% 1.65/0.56  % (17739)------------------------------
% 1.65/0.56  % (17731)Success in time 0.235 s
%------------------------------------------------------------------------------