TSTP Solution File: SWV199+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV199+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 : n024.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 18:44:28 EDT 2022

% Result   : Theorem 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   50 (  10 unt;   0 def)
%            Number of atoms       :  477 ( 299 equ)
%            Maximal formula atoms :   51 (   9 avg)
%            Number of connectives :  548 ( 121   ~;  96   |; 308   &)
%                                         (   4 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   62 (  54   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f347,plain,
    $false,
    inference(avatar_sat_refutation,[],[f232,f237,f242,f325,f346]) ).

fof(f346,plain,
    ( spl3_1
    | spl3_3
    | spl3_4 ),
    inference(avatar_contradiction_clause,[],[f345]) ).

fof(f345,plain,
    ( $false
    | spl3_1
    | spl3_3
    | spl3_4 ),
    inference(subsumption_resolution,[],[f341,f241]) ).

fof(f241,plain,
    ( n1 != sK0
    | spl3_4 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl3_4
  <=> n1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f341,plain,
    ( n1 = sK0
    | spl3_1
    | spl3_3 ),
    inference(unit_resulting_resolution,[],[f208,f227,f204,f236,f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n1 = X0
      | n2 = X0
      | n0 = X0
      | ~ leq(X0,n2) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( n1 = X0
      | n2 = X0
      | ~ leq(n0,X0)
      | ~ leq(X0,n2)
      | n0 = X0 ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( n0 = X0
      | n1 = X0
      | n2 = X0
      | ~ leq(X0,n2)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ! [X0] :
      ( ( leq(X0,n2)
        & leq(n0,X0) )
     => ( n0 = X0
        | n1 = X0
        | n2 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).

fof(f236,plain,
    ( n2 != sK0
    | spl3_3 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl3_3
  <=> n2 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f204,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & leq(n0,pv5)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n1)
    & leq(sK0,n2)
    & leq(n0,sK1)
    & leq(sK1,pv5)
    & ( pv5 != sK1
      | n0 != sK0 )
    & leq(n0,sK0)
    & ( pv5 != sK1
      | n1 != sK0 )
    & ( n2 != sK0
      | pv5 != sK1 )
    & use != a_select3(z_defuse,sK0,sK1)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & ! [X2,X3] :
        ( ~ leq(X3,pred(pv5))
        | ~ leq(n0,X2)
        | use = a_select3(z_defuse,X2,X3)
        | ~ leq(X2,n2)
        | ~ leq(n0,X3) )
    & leq(pv5,n0)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n0)
    & leq(pv5,n998)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(rho_defuse,n2)
    & ! [X4,X5] :
        ( use = a_select3(u_defuse,X5,X4)
        | ~ leq(n0,X5)
        | ~ leq(X4,pred(pv5))
        | ~ leq(n0,X4)
        | ~ leq(X5,n2) )
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(sigma_defuse,n2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f128,f129]) ).

fof(f129,plain,
    ( ? [X0,X1] :
        ( leq(X0,n2)
        & leq(n0,X1)
        & leq(X1,pv5)
        & ( pv5 != X1
          | n0 != X0 )
        & leq(n0,X0)
        & ( pv5 != X1
          | n1 != X0 )
        & ( n2 != X0
          | pv5 != X1 )
        & use != a_select3(z_defuse,X0,X1) )
   => ( leq(sK0,n2)
      & leq(n0,sK1)
      & leq(sK1,pv5)
      & ( pv5 != sK1
        | n0 != sK0 )
      & leq(n0,sK0)
      & ( pv5 != sK1
        | n1 != sK0 )
      & ( n2 != sK0
        | pv5 != sK1 )
      & use != a_select3(z_defuse,sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & leq(n0,pv5)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n1)
    & ? [X0,X1] :
        ( leq(X0,n2)
        & leq(n0,X1)
        & leq(X1,pv5)
        & ( pv5 != X1
          | n0 != X0 )
        & leq(n0,X0)
        & ( pv5 != X1
          | n1 != X0 )
        & ( n2 != X0
          | pv5 != X1 )
        & use != a_select3(z_defuse,X0,X1) )
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & ! [X2,X3] :
        ( ~ leq(X3,pred(pv5))
        | ~ leq(n0,X2)
        | use = a_select3(z_defuse,X2,X3)
        | ~ leq(X2,n2)
        | ~ leq(n0,X3) )
    & leq(pv5,n0)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n0)
    & leq(pv5,n998)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(rho_defuse,n2)
    & ! [X4,X5] :
        ( use = a_select3(u_defuse,X5,X4)
        | ~ leq(n0,X5)
        | ~ leq(X4,pred(pv5))
        | ~ leq(n0,X4)
        | ~ leq(X5,n2) )
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(sigma_defuse,n2) ),
    inference(rectify,[],[f122]) ).

fof(f122,plain,
    ( use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & leq(n0,pv5)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n1)
    & ? [X4,X5] :
        ( leq(X4,n2)
        & leq(n0,X5)
        & leq(X5,pv5)
        & ( pv5 != X5
          | n0 != X4 )
        & leq(n0,X4)
        & ( pv5 != X5
          | n1 != X4 )
        & ( n2 != X4
          | pv5 != X5 )
        & use != a_select3(z_defuse,X4,X5) )
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & ! [X0,X1] :
        ( ~ leq(X1,pred(pv5))
        | ~ leq(n0,X0)
        | use = a_select3(z_defuse,X0,X1)
        | ~ leq(X0,n2)
        | ~ leq(n0,X1) )
    & leq(pv5,n0)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n0)
    & leq(pv5,n998)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(rho_defuse,n2)
    & ! [X2,X3] :
        ( use = a_select3(u_defuse,X3,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,pred(pv5))
        | ~ leq(n0,X2)
        | ~ leq(X3,n2) )
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(sigma_defuse,n2) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ( ? [X4,X5] :
        ( use != a_select3(z_defuse,X4,X5)
        & ( pv5 != X5
          | n0 != X4 )
        & ( pv5 != X5
          | n1 != X4 )
        & ( n2 != X4
          | pv5 != X5 )
        & leq(n0,X4)
        & leq(X4,n2)
        & leq(X5,pv5)
        & leq(n0,X5) )
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n3)
    & leq(pv5,n0)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_defuse,n5)
    & leq(pv5,n998)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(sigma_defuse,n5)
    & ! [X0,X1] :
        ( use = a_select3(z_defuse,X0,X1)
        | ~ leq(X0,n2)
        | ~ leq(X1,pred(pv5))
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_defuse,n4)
    & leq(n0,pv5)
    & use = a_select2(xinit_noise_defuse,n3)
    & ! [X3,X2] :
        ( use = a_select3(u_defuse,X3,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,pred(pv5))
        | ~ leq(n0,X2)
        | ~ leq(X3,n2) )
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(rho_defuse,n2) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n3)
        & leq(pv5,n0)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_defuse,n5)
        & leq(pv5,n998)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(sigma_defuse,n5)
        & ! [X0,X1] :
            ( ( leq(X0,n2)
              & leq(X1,pred(pv5))
              & leq(n0,X1)
              & leq(n0,X0) )
           => use = a_select3(z_defuse,X0,X1) )
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_defuse,n4)
        & leq(n0,pv5)
        & use = a_select2(xinit_noise_defuse,n3)
        & ! [X3,X2] :
            ( ( leq(n0,X3)
              & leq(X2,pred(pv5))
              & leq(n0,X2)
              & leq(X3,n2) )
           => use = a_select3(u_defuse,X3,X2) )
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(rho_defuse,n2) )
     => ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(X4,n2)
            & leq(X5,pv5)
            & leq(n0,X5) )
         => ( ( ~ ( pv5 = X5
                  & n0 = X4 )
              & ~ ( n1 = X4
                  & pv5 = X5 )
              & ~ ( pv5 = X5
                  & n2 = X4 ) )
           => use = a_select3(z_defuse,X4,X5) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & leq(pv5,n998)
        & use = a_select2(xinit_mean_defuse,n0)
        & leq(pv5,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(rho_defuse,n0)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(sigma_defuse,n2)
        & ! [X3,X19] :
            ( ( leq(n0,X3)
              & leq(X19,pred(pv5))
              & leq(X3,n2)
              & leq(n0,X19) )
           => use = a_select3(z_defuse,X3,X19) )
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n1)
        & leq(n0,pv5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(xinit_defuse,n5)
        & ! [X17,X13] :
            ( ( leq(X17,pred(pv5))
              & leq(n0,X13)
              & leq(X13,n2)
              & leq(n0,X17) )
           => use = a_select3(u_defuse,X13,X17) )
        & use = a_select3(u_defuse,n1,n0) )
     => ! [X20,X21] :
          ( ( leq(X21,pv5)
            & leq(n0,X20)
            & leq(n0,X21)
            & leq(X20,n2) )
         => ( ( ~ ( n2 = X20
                  & pv5 = X21 )
              & ~ ( pv5 = X21
                  & n0 = X20 )
              & ~ ( pv5 = X21
                  & n1 = X20 ) )
           => use = a_select3(z_defuse,X20,X21) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( use = a_select2(xinit_noise_defuse,n2)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n4)
      & leq(pv5,n998)
      & use = a_select2(xinit_mean_defuse,n0)
      & leq(pv5,n0)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(rho_defuse,n0)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(sigma_defuse,n2)
      & ! [X3,X19] :
          ( ( leq(n0,X3)
            & leq(X19,pred(pv5))
            & leq(X3,n2)
            & leq(n0,X19) )
         => use = a_select3(z_defuse,X3,X19) )
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(sigma_defuse,n1)
      & leq(n0,pv5)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select2(xinit_defuse,n5)
      & ! [X17,X13] :
          ( ( leq(X17,pred(pv5))
            & leq(n0,X13)
            & leq(X13,n2)
            & leq(n0,X17) )
         => use = a_select3(u_defuse,X13,X17) )
      & use = a_select3(u_defuse,n1,n0) )
   => ! [X20,X21] :
        ( ( leq(X21,pv5)
          & leq(n0,X20)
          & leq(n0,X21)
          & leq(X20,n2) )
       => ( ( ~ ( n2 = X20
                & pv5 = X21 )
            & ~ ( pv5 = X21
                & n0 = X20 )
            & ~ ( pv5 = X21
                & n1 = X20 ) )
         => use = a_select3(z_defuse,X20,X21) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

fof(f227,plain,
    ( n0 != sK0
    | spl3_1 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl3_1
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f208,plain,
    leq(sK0,n2),
    inference(cnf_transformation,[],[f130]) ).

fof(f325,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f324]) ).

fof(f324,plain,
    ( $false
    | spl3_2 ),
    inference(subsumption_resolution,[],[f320,f259]) ).

fof(f259,plain,
    leq(sK1,n0),
    inference(unit_resulting_resolution,[],[f195,f206,f172]) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | leq(X0,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).

fof(f206,plain,
    leq(sK1,pv5),
    inference(cnf_transformation,[],[f130]) ).

fof(f195,plain,
    leq(pv5,n0),
    inference(cnf_transformation,[],[f130]) ).

fof(f320,plain,
    ( ~ leq(sK1,n0)
    | spl3_2 ),
    inference(unit_resulting_resolution,[],[f207,f296,f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,n0)
      | n0 = X0 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,n0)
      | n0 = X0 ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ! [X0] :
      ( ( leq(n0,X0)
        & leq(X0,n0) )
     => n0 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).

fof(f296,plain,
    ( n0 != sK1
    | spl3_2 ),
    inference(backward_demodulation,[],[f231,f279]) ).

fof(f279,plain,
    n0 = pv5,
    inference(unit_resulting_resolution,[],[f195,f211,f149]) ).

fof(f211,plain,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f130]) ).

fof(f231,plain,
    ( pv5 != sK1
    | spl3_2 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl3_2
  <=> pv5 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f207,plain,
    leq(n0,sK1),
    inference(cnf_transformation,[],[f130]) ).

fof(f242,plain,
    ( ~ spl3_2
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f203,f239,f229]) ).

fof(f203,plain,
    ( n1 != sK0
    | pv5 != sK1 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f237,plain,
    ( ~ spl3_3
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f202,f229,f234]) ).

fof(f202,plain,
    ( pv5 != sK1
    | n2 != sK0 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f232,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f205,f229,f225]) ).

fof(f205,plain,
    ( pv5 != sK1
    | n0 != sK0 ),
    inference(cnf_transformation,[],[f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV199+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 19:08:19 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (1537)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.51  % (1529)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51  % (1552)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.51  % (1528)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)
% 0.21/0.51  % (1544)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.52  % (1543)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (1535)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.52  % (1532)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)
% 0.21/0.53  % (1537)Instruction limit reached!
% 0.21/0.53  % (1537)------------------------------
% 0.21/0.53  % (1537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (1528)First to succeed.
% 0.21/0.53  % (1536)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53  % (1543)Instruction limit reached!
% 0.21/0.53  % (1543)------------------------------
% 0.21/0.53  % (1543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (1527)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53  % (1543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (1543)Termination reason: Unknown
% 0.21/0.53  % (1543)Termination phase: Preprocessing 2
% 0.21/0.53  
% 0.21/0.53  % (1543)Memory used [KB]: 1535
% 0.21/0.53  % (1543)Time elapsed: 0.003 s
% 0.21/0.53  % (1543)Instructions burned: 2 (million)
% 0.21/0.53  % (1543)------------------------------
% 0.21/0.53  % (1543)------------------------------
% 0.21/0.53  % (1537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (1537)Termination reason: Unknown
% 0.21/0.53  % (1537)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (1537)Memory used [KB]: 1918
% 0.21/0.53  % (1537)Time elapsed: 0.011 s
% 0.21/0.53  % (1537)Instructions burned: 17 (million)
% 0.21/0.53  % (1537)------------------------------
% 0.21/0.53  % (1537)------------------------------
% 0.21/0.53  % (1527)Instruction limit reached!
% 0.21/0.53  % (1527)------------------------------
% 0.21/0.53  % (1527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (1527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (1527)Termination reason: Unknown
% 0.21/0.53  % (1527)Termination phase: Preprocessing 3
% 0.21/0.53  
% 0.21/0.53  % (1527)Memory used [KB]: 1663
% 0.21/0.53  % (1527)Time elapsed: 0.003 s
% 0.21/0.53  % (1527)Instructions burned: 5 (million)
% 0.21/0.53  % (1527)------------------------------
% 0.21/0.53  % (1527)------------------------------
% 0.21/0.53  % (1526)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53  % (1529)Instruction limit reached!
% 0.21/0.53  % (1529)------------------------------
% 0.21/0.53  % (1529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (1529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (1529)Termination reason: Unknown
% 0.21/0.53  % (1529)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (1529)Memory used [KB]: 6268
% 0.21/0.53  % (1529)Time elapsed: 0.116 s
% 0.21/0.53  % (1529)Instructions burned: 13 (million)
% 0.21/0.53  % (1529)------------------------------
% 0.21/0.53  % (1529)------------------------------
% 0.21/0.53  % (1535)Also succeeded, but the first one will report.
% 0.21/0.54  % (1528)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Theorem for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (1528)------------------------------
% 0.21/0.54  % (1528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (1528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (1528)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (1528)Memory used [KB]: 6268
% 0.21/0.54  % (1528)Time elapsed: 0.114 s
% 0.21/0.54  % (1528)Instructions burned: 11 (million)
% 0.21/0.54  % (1528)------------------------------
% 0.21/0.54  % (1528)------------------------------
% 0.21/0.54  % (1524)Success in time 0.173 s
%------------------------------------------------------------------------------