TSTP Solution File: SWV198+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV198+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 : n015.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 1.60s 0.62s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   52 (  18 unt;   0 def)
%            Number of atoms       :  415 ( 253 equ)
%            Maximal formula atoms :   45 (   7 avg)
%            Number of connectives :  437 (  74   ~;  71   |; 274   &)
%                                         (   3 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   50 (  42   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f516,plain,
    $false,
    inference(avatar_sat_refutation,[],[f493,f503,f510,f513]) ).

fof(f513,plain,
    ~ spl33_1,
    inference(avatar_contradiction_clause,[],[f512]) ).

fof(f512,plain,
    ( $false
    | ~ spl33_1 ),
    inference(subsumption_resolution,[],[f511,f285]) ).

fof(f285,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ( use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & ! [X0,X1] :
        ( ~ leq(X1,pred(pv5))
        | ~ leq(X0,n2)
        | use = a_select3(z_defuse,X0,X1)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & ! [X2,X3] :
        ( ~ leq(n0,X3)
        | ~ leq(X3,n2)
        | use = a_select3(u_defuse,X3,X2)
        | ~ leq(X2,pred(pv5))
        | ~ leq(n0,X2) )
    & use = a_select2(xinit_mean_defuse,n5)
    & leq(n0,pv5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n2)
    & leq(sK4,pv5)
    & leq(n0,sK4)
    & use != a_select3(u_defuse,sK5,sK4)
    & leq(sK5,n2)
    & leq(n0,sK5)
    & use = a_select2(rho_defuse,n2)
    & leq(pv5,n998)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n0)
    & leq(pv5,n0)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_defuse,n5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f184,f185]) ).

fof(f185,plain,
    ( ? [X4,X5] :
        ( leq(X4,pv5)
        & leq(n0,X4)
        & use != a_select3(u_defuse,X5,X4)
        & leq(X5,n2)
        & leq(n0,X5) )
   => ( leq(sK4,pv5)
      & leq(n0,sK4)
      & use != a_select3(u_defuse,sK5,sK4)
      & leq(sK5,n2)
      & leq(n0,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f184,plain,
    ( use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & ! [X0,X1] :
        ( ~ leq(X1,pred(pv5))
        | ~ leq(X0,n2)
        | use = a_select3(z_defuse,X0,X1)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & ! [X2,X3] :
        ( ~ leq(n0,X3)
        | ~ leq(X3,n2)
        | use = a_select3(u_defuse,X3,X2)
        | ~ leq(X2,pred(pv5))
        | ~ leq(n0,X2) )
    & use = a_select2(xinit_mean_defuse,n5)
    & leq(n0,pv5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n2)
    & ? [X4,X5] :
        ( leq(X4,pv5)
        & leq(n0,X4)
        & use != a_select3(u_defuse,X5,X4)
        & leq(X5,n2)
        & leq(n0,X5) )
    & use = a_select2(rho_defuse,n2)
    & leq(pv5,n998)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n0)
    & leq(pv5,n0)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_defuse,n5) ),
    inference(rectify,[],[f176]) ).

fof(f176,plain,
    ( use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & ! [X1,X0] :
        ( ~ leq(X0,pred(pv5))
        | ~ leq(X1,n2)
        | use = a_select3(z_defuse,X1,X0)
        | ~ leq(n0,X0)
        | ~ leq(n0,X1) )
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & ! [X3,X2] :
        ( ~ leq(n0,X2)
        | ~ leq(X2,n2)
        | use = a_select3(u_defuse,X2,X3)
        | ~ leq(X3,pred(pv5))
        | ~ leq(n0,X3) )
    & use = a_select2(xinit_mean_defuse,n5)
    & leq(n0,pv5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n2)
    & ? [X5,X4] :
        ( leq(X5,pv5)
        & leq(n0,X5)
        & use != a_select3(u_defuse,X4,X5)
        & leq(X4,n2)
        & leq(n0,X4) )
    & use = a_select2(rho_defuse,n2)
    & leq(pv5,n998)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n0)
    & leq(pv5,n0)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_defuse,n5) ),
    inference(flattening,[],[f175]) ).

fof(f175,plain,
    ( ? [X5,X4] :
        ( use != a_select3(u_defuse,X4,X5)
        & leq(n0,X4)
        & leq(n0,X5)
        & leq(X5,pv5)
        & leq(X4,n2) )
    & leq(pv5,n998)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(rho_defuse,n0)
    & ! [X0,X1] :
        ( use = a_select3(z_defuse,X1,X0)
        | ~ leq(X1,n2)
        | ~ leq(n0,X1)
        | ~ leq(X0,pred(pv5))
        | ~ leq(n0,X0) )
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n3)
    & ! [X3,X2] :
        ( use = a_select3(u_defuse,X2,X3)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,n2)
        | ~ leq(X3,pred(pv5)) )
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(sigma_defuse,n0)
    & leq(pv5,n0)
    & leq(n0,pv5)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_noise_defuse,n5) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f96,plain,
    ~ ( ( leq(pv5,n998)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(rho_defuse,n0)
        & ! [X0,X1] :
            ( ( leq(X1,n2)
              & leq(n0,X1)
              & leq(X0,pred(pv5))
              & leq(n0,X0) )
           => use = a_select3(z_defuse,X1,X0) )
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n3)
        & ! [X3,X2] :
            ( ( leq(n0,X2)
              & leq(n0,X3)
              & leq(X2,n2)
              & leq(X3,pred(pv5)) )
           => use = a_select3(u_defuse,X2,X3) )
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(sigma_defuse,n0)
        & leq(pv5,n0)
        & leq(n0,pv5)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(xinit_noise_defuse,n5) )
     => ! [X5,X4] :
          ( ( leq(n0,X4)
            & leq(n0,X5)
            & leq(X5,pv5)
            & leq(X4,n2) )
         => use = a_select3(u_defuse,X4,X5) ) ),
    inference(rectify,[],[f54]) ).

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

fof(f53,conjecture,
    ( ( use = a_select2(xinit_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n3)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select2(xinit_mean_defuse,n0)
      & use = a_select2(sigma_defuse,n2)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(rho_defuse,n1)
      & ! [X19,X3] :
          ( ( leq(n0,X3)
            & leq(X19,pred(pv5))
            & leq(n0,X19)
            & leq(X3,n2) )
         => use = a_select3(z_defuse,X3,X19) )
      & use = a_select2(xinit_defuse,n5)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n1)
      & leq(n0,pv5)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select3(u_defuse,n2,n0)
      & leq(pv5,n0)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n5)
      & leq(pv5,n998)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(rho_defuse,n0)
      & use = a_select2(xinit_noise_defuse,n2)
      & ! [X13,X17] :
          ( ( leq(X17,pred(pv5))
            & leq(X13,n2)
            & leq(n0,X13)
            & leq(n0,X17) )
         => use = a_select3(u_defuse,X13,X17) ) )
   => ! [X20,X21] :
        ( ( leq(X20,n2)
          & leq(n0,X21)
          & leq(X21,pv5)
          & leq(n0,X20) )
       => use = a_select3(u_defuse,X20,X21) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).

fof(f511,plain,
    ( use != a_select3(u_defuse,n2,n0)
    | ~ spl33_1 ),
    inference(backward_demodulation,[],[f507,f484]) ).

fof(f484,plain,
    ( n2 = sK5
    | ~ spl33_1 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl33_1
  <=> n2 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).

fof(f507,plain,
    use != a_select3(u_defuse,sK5,n0),
    inference(forward_demodulation,[],[f265,f498]) ).

fof(f498,plain,
    n0 = sK4,
    inference(subsumption_resolution,[],[f497,f266]) ).

fof(f266,plain,
    leq(n0,sK4),
    inference(cnf_transformation,[],[f186]) ).

fof(f497,plain,
    ( ~ leq(n0,sK4)
    | n0 = sK4 ),
    inference(resolution,[],[f475,f416]) ).

fof(f416,plain,
    ! [X0] :
      ( ~ leq(X0,n0)
      | n0 = X0
      | ~ leq(n0,X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n0 = X0
      | ~ leq(X0,n0) ),
    inference(flattening,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(X0,n0)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ! [X0] :
      ( ( leq(X0,n0)
        & leq(n0,X0) )
     => n0 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).

fof(f475,plain,
    leq(sK4,n0),
    inference(backward_demodulation,[],[f267,f472]) ).

fof(f472,plain,
    n0 = pv5,
    inference(subsumption_resolution,[],[f471,f271]) ).

fof(f271,plain,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f186]) ).

fof(f471,plain,
    ( n0 = pv5
    | ~ leq(n0,pv5) ),
    inference(resolution,[],[f255,f416]) ).

fof(f255,plain,
    leq(pv5,n0),
    inference(cnf_transformation,[],[f186]) ).

fof(f267,plain,
    leq(sK4,pv5),
    inference(cnf_transformation,[],[f186]) ).

fof(f265,plain,
    use != a_select3(u_defuse,sK5,sK4),
    inference(cnf_transformation,[],[f186]) ).

fof(f510,plain,
    ~ spl33_3,
    inference(avatar_contradiction_clause,[],[f509]) ).

fof(f509,plain,
    ( $false
    | ~ spl33_3 ),
    inference(subsumption_resolution,[],[f508,f283]) ).

fof(f283,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f186]) ).

fof(f508,plain,
    ( use != a_select3(u_defuse,n0,n0)
    | ~ spl33_3 ),
    inference(forward_demodulation,[],[f507,f492]) ).

fof(f492,plain,
    ( n0 = sK5
    | ~ spl33_3 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl33_3
  <=> n0 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).

fof(f503,plain,
    ~ spl33_2,
    inference(avatar_contradiction_clause,[],[f502]) ).

fof(f502,plain,
    ( $false
    | ~ spl33_2 ),
    inference(subsumption_resolution,[],[f499,f284]) ).

fof(f284,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f186]) ).

fof(f499,plain,
    ( use != a_select3(u_defuse,n1,n0)
    | ~ spl33_2 ),
    inference(backward_demodulation,[],[f494,f498]) ).

fof(f494,plain,
    ( use != a_select3(u_defuse,n1,sK4)
    | ~ spl33_2 ),
    inference(backward_demodulation,[],[f265,f488]) ).

fof(f488,plain,
    ( n1 = sK5
    | ~ spl33_2 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f486,plain,
    ( spl33_2
  <=> n1 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).

fof(f493,plain,
    ( spl33_1
    | spl33_2
    | spl33_3 ),
    inference(avatar_split_clause,[],[f480,f490,f486,f482]) ).

fof(f480,plain,
    ( n0 = sK5
    | n1 = sK5
    | n2 = sK5 ),
    inference(subsumption_resolution,[],[f479,f263]) ).

fof(f263,plain,
    leq(n0,sK5),
    inference(cnf_transformation,[],[f186]) ).

fof(f479,plain,
    ( ~ leq(n0,sK5)
    | n2 = sK5
    | n1 = sK5
    | n0 = sK5 ),
    inference(resolution,[],[f264,f296]) ).

fof(f296,plain,
    ! [X0] :
      ( ~ leq(X0,n2)
      | n0 = X0
      | n2 = X0
      | ~ leq(n0,X0)
      | n1 = X0 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( n1 = X0
      | ~ leq(n0,X0)
      | ~ leq(X0,n2)
      | n2 = X0
      | n0 = X0 ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( n1 = X0
      | n0 = X0
      | n2 = X0
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ! [X0] :
      ( ( leq(n0,X0)
        & leq(X0,n2) )
     => ( n1 = X0
        | n0 = X0
        | n2 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).

fof(f264,plain,
    leq(sK5,n2),
    inference(cnf_transformation,[],[f186]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV198+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:17:36 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (28291)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.51  % (28274)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)
% 0.20/0.52  % (28283)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)
% 0.20/0.52  % (28274)Instruction limit reached!
% 0.20/0.52  % (28274)------------------------------
% 0.20/0.52  % (28274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (28273)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)
% 0.20/0.53  % (28281)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)
% 0.20/0.53  % (28283)Instruction limit reached!
% 0.20/0.53  % (28283)------------------------------
% 0.20/0.53  % (28283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (28274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (28274)Termination reason: Unknown
% 0.20/0.53  % (28274)Termination phase: Saturation
% 0.20/0.53  % (28271)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)
% 0.20/0.53  
% 0.20/0.53  % (28274)Memory used [KB]: 6268
% 0.20/0.53  % (28274)Time elapsed: 0.107 s
% 0.20/0.53  % (28274)Instructions burned: 13 (million)
% 0.20/0.53  % (28274)------------------------------
% 0.20/0.53  % (28274)------------------------------
% 0.20/0.53  % (28283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (28283)Termination reason: Unknown
% 0.20/0.53  % (28283)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (28283)Memory used [KB]: 1918
% 0.20/0.53  % (28283)Time elapsed: 0.011 s
% 0.20/0.53  % (28283)Instructions burned: 17 (million)
% 0.20/0.53  % (28283)------------------------------
% 0.20/0.53  % (28283)------------------------------
% 0.20/0.54  % (28297)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (28275)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54  % (28293)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)
% 0.20/0.54  % (28298)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)
% 0.20/0.54  % (28285)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)
% 0.20/0.54  % (28272)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)
% 0.20/0.54  % (28289)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)
% 0.20/0.54  % (28272)Instruction limit reached!
% 0.20/0.54  % (28272)------------------------------
% 0.20/0.54  % (28272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (28272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (28272)Termination reason: Unknown
% 0.20/0.54  % (28272)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (28272)Memory used [KB]: 1535
% 0.20/0.54  % (28272)Time elapsed: 0.003 s
% 0.20/0.54  % (28272)Instructions burned: 3 (million)
% 0.20/0.54  % (28272)------------------------------
% 0.20/0.54  % (28272)------------------------------
% 0.20/0.54  % (28289)Instruction limit reached!
% 0.20/0.54  % (28289)------------------------------
% 0.20/0.54  % (28289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (28289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (28289)Termination reason: Unknown
% 0.20/0.54  % (28289)Termination phase: Preprocessing 1
% 0.20/0.54  
% 0.20/0.54  % (28289)Memory used [KB]: 1407
% 0.20/0.54  % (28289)Time elapsed: 0.002 s
% 0.20/0.54  % (28289)Instructions burned: 2 (million)
% 0.20/0.54  % (28289)------------------------------
% 0.20/0.54  % (28289)------------------------------
% 0.20/0.54  % (28285)Instruction limit reached!
% 0.20/0.54  % (28285)------------------------------
% 0.20/0.54  % (28285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (28299)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (28276)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)
% 0.20/0.54  % (28292)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.54  % (28280)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)
% 1.47/0.54  % (28287)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)
% 1.47/0.55  % (28290)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)
% 1.47/0.55  % (28288)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.47/0.55  % (28284)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.47/0.55  % (28278)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)
% 1.47/0.55  % (28291)Instruction limit reached!
% 1.47/0.55  % (28291)------------------------------
% 1.47/0.55  % (28291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (28291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (28291)Termination reason: Unknown
% 1.47/0.55  % (28291)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (28291)Memory used [KB]: 6524
% 1.47/0.55  % (28291)Time elapsed: 0.136 s
% 1.47/0.55  % (28291)Instructions burned: 30 (million)
% 1.47/0.55  % (28291)------------------------------
% 1.47/0.55  % (28291)------------------------------
% 1.47/0.55  % (28285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (28285)Termination reason: Unknown
% 1.47/0.55  % (28285)Termination phase: Preprocessing 3
% 1.47/0.55  
% 1.47/0.55  % (28285)Memory used [KB]: 1663
% 1.47/0.55  % (28285)Time elapsed: 0.004 s
% 1.47/0.55  % (28285)Instructions burned: 5 (million)
% 1.47/0.55  % (28285)------------------------------
% 1.47/0.55  % (28285)------------------------------
% 1.47/0.55  % (28281)Instruction limit reached!
% 1.47/0.55  % (28281)------------------------------
% 1.47/0.55  % (28281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (28281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (28281)Termination reason: Unknown
% 1.47/0.55  % (28281)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (28281)Memory used [KB]: 6140
% 1.47/0.55  % (28281)Time elapsed: 0.143 s
% 1.47/0.55  % (28281)Instructions burned: 7 (million)
% 1.47/0.55  % (28281)------------------------------
% 1.47/0.55  % (28281)------------------------------
% 1.47/0.55  % (28271)Instruction limit reached!
% 1.47/0.55  % (28271)------------------------------
% 1.47/0.55  % (28271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (28271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (28271)Termination reason: Unknown
% 1.47/0.55  % (28271)Termination phase: Saturation
% 1.47/0.55  
% 1.47/0.55  % (28271)Memory used [KB]: 1791
% 1.47/0.55  % (28271)Time elapsed: 0.007 s
% 1.47/0.55  % (28271)Instructions burned: 13 (million)
% 1.47/0.55  % (28271)------------------------------
% 1.47/0.55  % (28271)------------------------------
% 1.47/0.56  % (28299)Instruction limit reached!
% 1.47/0.56  % (28299)------------------------------
% 1.47/0.56  % (28299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (28299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56  % (28299)Termination reason: Unknown
% 1.47/0.56  % (28299)Termination phase: Function definition elimination
% 1.47/0.56  
% 1.47/0.56  % (28299)Memory used [KB]: 1663
% 1.47/0.56  % (28299)Time elapsed: 0.006 s
% 1.47/0.56  % (28299)Instructions burned: 8 (million)
% 1.47/0.56  % (28299)------------------------------
% 1.47/0.56  % (28299)------------------------------
% 1.47/0.56  % (28270)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.47/0.56  % (28301)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.47/0.56  % (28295)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)
% 1.60/0.56  % (28296)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.60/0.56  % (28280)Instruction limit reached!
% 1.60/0.56  % (28280)------------------------------
% 1.60/0.56  % (28280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (28280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (28280)Termination reason: Unknown
% 1.60/0.56  % (28280)Termination phase: Saturation
% 1.60/0.56  
% 1.60/0.56  % (28280)Memory used [KB]: 6140
% 1.60/0.56  % (28280)Time elapsed: 0.161 s
% 1.60/0.56  % (28280)Instructions burned: 13 (million)
% 1.60/0.56  % (28280)------------------------------
% 1.60/0.56  % (28280)------------------------------
% 1.60/0.57  % (28275)Instruction limit reached!
% 1.60/0.57  % (28275)------------------------------
% 1.60/0.57  % (28275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57  % (28275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57  % (28275)Termination reason: Unknown
% 1.60/0.57  % (28275)Termination phase: Saturation
% 1.60/0.57  
% 1.60/0.57  % (28275)Memory used [KB]: 1663
% 1.60/0.57  % (28275)Time elapsed: 0.163 s
% 1.60/0.57  % (28275)Instructions burned: 16 (million)
% 1.60/0.57  % (28275)------------------------------
% 1.60/0.57  % (28275)------------------------------
% 1.60/0.57  % (28288)Instruction limit reached!
% 1.60/0.57  % (28288)------------------------------
% 1.60/0.57  % (28288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57  % (28288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57  % (28288)Termination reason: Unknown
% 1.60/0.57  % (28288)Termination phase: Preprocessing 3
% 1.60/0.57  
% 1.60/0.57  % (28288)Memory used [KB]: 1535
% 1.60/0.57  % (28288)Time elapsed: 0.004 s
% 1.60/0.57  % (28288)Instructions burned: 3 (million)
% 1.60/0.57  % (28288)------------------------------
% 1.60/0.57  % (28288)------------------------------
% 1.60/0.57  % (28290)Instruction limit reached!
% 1.60/0.57  % (28290)------------------------------
% 1.60/0.57  % (28290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57  % (28290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57  % (28290)Termination reason: Unknown
% 1.60/0.57  % (28290)Termination phase: Saturation
% 1.60/0.57  
% 1.60/0.57  % (28290)Memory used [KB]: 6268
% 1.60/0.57  % (28290)Time elapsed: 0.169 s
% 1.60/0.57  % (28290)Instructions burned: 12 (million)
% 1.60/0.57  % (28290)------------------------------
% 1.60/0.57  % (28290)------------------------------
% 1.60/0.57  % (28279)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.60/0.58  % (28298)Instruction limit reached!
% 1.60/0.58  % (28298)------------------------------
% 1.60/0.58  % (28298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.58  % (28298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58  % (28298)Termination reason: Unknown
% 1.60/0.58  % (28298)Termination phase: Saturation
% 1.60/0.58  
% 1.60/0.58  % (28298)Memory used [KB]: 6524
% 1.60/0.58  % (28298)Time elapsed: 0.164 s
% 1.60/0.58  % (28298)Instructions burned: 25 (million)
% 1.60/0.58  % (28298)------------------------------
% 1.60/0.58  % (28298)------------------------------
% 1.60/0.59  % (28287)First to succeed.
% 1.60/0.61  % (28286)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)
% 1.60/0.61  % (28277)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)
% 1.60/0.61  % (28301)Instruction limit reached!
% 1.60/0.61  % (28301)------------------------------
% 1.60/0.61  % (28301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.61  % (28301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.61  % (28301)Termination reason: Unknown
% 1.60/0.61  % (28301)Termination phase: Saturation
% 1.60/0.61  
% 1.60/0.61  % (28301)Memory used [KB]: 6396
% 1.60/0.61  % (28301)Time elapsed: 0.206 s
% 1.60/0.61  % (28301)Instructions burned: 24 (million)
% 1.60/0.61  % (28301)------------------------------
% 1.60/0.61  % (28301)------------------------------
% 1.60/0.62  % (28287)Refutation found. Thanks to Tanya!
% 1.60/0.62  % SZS status Theorem for theBenchmark
% 1.60/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.62  % (28287)------------------------------
% 1.60/0.62  % (28287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.62  % (28287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.62  % (28287)Termination reason: Refutation
% 1.60/0.62  
% 1.60/0.62  % (28287)Memory used [KB]: 6780
% 1.60/0.62  % (28287)Time elapsed: 0.185 s
% 1.60/0.62  % (28287)Instructions burned: 22 (million)
% 1.60/0.62  % (28287)------------------------------
% 1.60/0.62  % (28287)------------------------------
% 1.60/0.62  % (28261)Success in time 0.253 s
%------------------------------------------------------------------------------