TSTP Solution File: SWV184+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV184+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 : n007.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 18:44:26 EDT 2022

% Result   : Theorem 0.22s 0.52s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   80 (   9 unt;   0 def)
%            Number of atoms       :  390 ( 107 equ)
%            Maximal formula atoms :   27 (   4 avg)
%            Number of connectives :  479 ( 169   ~; 177   |;  85   &)
%                                         (   8 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   9 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  15 con; 0-3 aty)
%            Number of variables   :   83 (  79   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f894,plain,
    $false,
    inference(avatar_sat_refutation,[],[f210,f211,f281,f642,f719,f795,f805,f821,f891]) ).

fof(f891,plain,
    ( ~ spl1_4
    | ~ spl1_11
    | ~ spl1_28 ),
    inference(avatar_contradiction_clause,[],[f890]) ).

fof(f890,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_11
    | ~ spl1_28 ),
    inference(subsumption_resolution,[],[f889,f517]) ).

fof(f517,plain,
    ( leq(n1,n4)
    | ~ spl1_28 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f516,plain,
    ( spl1_28
  <=> leq(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).

fof(f889,plain,
    ( ~ leq(n1,n4)
    | ~ spl1_4
    | ~ spl1_11 ),
    inference(subsumption_resolution,[],[f867,f834]) ).

fof(f834,plain,
    ( init != a_select2(sigmaold_init,n1)
    | ~ spl1_11 ),
    inference(backward_demodulation,[],[f139,f280]) ).

fof(f280,plain,
    ( n1 = sK0
    | ~ spl1_11 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl1_11
  <=> n1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).

fof(f139,plain,
    init != a_select2(sigmaold_init,sK0),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( leq(n0,sK0)
    & init != a_select2(sigmaold_init,sK0)
    & leq(sK0,n4)
    & ! [X1] :
        ( ~ leq(n0,X1)
        | ~ leq(X1,n4)
        | init = a_select3(center_init,X1,n0) )
    & ( ! [X2] :
          ( ~ leq(n0,X2)
          | ~ leq(X2,n4)
          | init = a_select2(muold_init,X2) )
      | ~ gt(loopcounter,n1) )
    & ! [X3] :
        ( ~ leq(X3,n4)
        | ~ leq(n0,X3)
        | init = a_select2(rho_init,X3) )
    & ! [X4] :
        ( ! [X5] :
            ( ~ leq(X5,n4)
            | init = a_select3(q_init,X4,X5)
            | ~ leq(n0,X5) )
        | ~ leq(n0,X4)
        | ~ leq(X4,n135299) )
    & gt(loopcounter,n1)
    & ( ~ gt(loopcounter,n1)
      | ! [X6] :
          ( init = a_select2(rhoold_init,X6)
          | ~ leq(X6,n4)
          | ~ leq(n0,X6) ) )
    & ( ! [X7] :
          ( ~ leq(X7,n4)
          | ~ leq(n0,X7)
          | init = a_select2(sigmaold_init,X7) )
      | ~ gt(loopcounter,n1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f122,f123]) ).

fof(f123,plain,
    ( ? [X0] :
        ( leq(n0,X0)
        & init != a_select2(sigmaold_init,X0)
        & leq(X0,n4) )
   => ( leq(n0,sK0)
      & init != a_select2(sigmaold_init,sK0)
      & leq(sK0,n4) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X0] :
        ( leq(n0,X0)
        & init != a_select2(sigmaold_init,X0)
        & leq(X0,n4) )
    & ! [X1] :
        ( ~ leq(n0,X1)
        | ~ leq(X1,n4)
        | init = a_select3(center_init,X1,n0) )
    & ( ! [X2] :
          ( ~ leq(n0,X2)
          | ~ leq(X2,n4)
          | init = a_select2(muold_init,X2) )
      | ~ gt(loopcounter,n1) )
    & ! [X3] :
        ( ~ leq(X3,n4)
        | ~ leq(n0,X3)
        | init = a_select2(rho_init,X3) )
    & ! [X4] :
        ( ! [X5] :
            ( ~ leq(X5,n4)
            | init = a_select3(q_init,X4,X5)
            | ~ leq(n0,X5) )
        | ~ leq(n0,X4)
        | ~ leq(X4,n135299) )
    & gt(loopcounter,n1)
    & ( ~ gt(loopcounter,n1)
      | ! [X6] :
          ( init = a_select2(rhoold_init,X6)
          | ~ leq(X6,n4)
          | ~ leq(n0,X6) ) )
    & ( ! [X7] :
          ( ~ leq(X7,n4)
          | ~ leq(n0,X7)
          | init = a_select2(sigmaold_init,X7) )
      | ~ gt(loopcounter,n1) ) ),
    inference(rectify,[],[f121]) ).

fof(f121,plain,
    ( ? [X7] :
        ( leq(n0,X7)
        & init != a_select2(sigmaold_init,X7)
        & leq(X7,n4) )
    & ! [X0] :
        ( ~ leq(n0,X0)
        | ~ leq(X0,n4)
        | init = a_select3(center_init,X0,n0) )
    & ( ! [X5] :
          ( ~ leq(n0,X5)
          | ~ leq(X5,n4)
          | init = a_select2(muold_init,X5) )
      | ~ gt(loopcounter,n1) )
    & ! [X6] :
        ( ~ leq(X6,n4)
        | ~ leq(n0,X6)
        | init = a_select2(rho_init,X6) )
    & ! [X1] :
        ( ! [X2] :
            ( ~ leq(X2,n4)
            | init = a_select3(q_init,X1,X2)
            | ~ leq(n0,X2) )
        | ~ leq(n0,X1)
        | ~ leq(X1,n135299) )
    & gt(loopcounter,n1)
    & ( ~ gt(loopcounter,n1)
      | ! [X3] :
          ( init = a_select2(rhoold_init,X3)
          | ~ leq(X3,n4)
          | ~ leq(n0,X3) ) )
    & ( ! [X4] :
          ( ~ leq(X4,n4)
          | ~ leq(n0,X4)
          | init = a_select2(sigmaold_init,X4) )
      | ~ gt(loopcounter,n1) ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ( ? [X7] :
        ( init != a_select2(sigmaold_init,X7)
        & leq(X7,n4)
        & leq(n0,X7) )
    & ! [X1] :
        ( ! [X2] :
            ( init = a_select3(q_init,X1,X2)
            | ~ leq(X2,n4)
            | ~ leq(n0,X2) )
        | ~ leq(n0,X1)
        | ~ leq(X1,n135299) )
    & gt(loopcounter,n1)
    & ( ! [X4] :
          ( init = a_select2(sigmaold_init,X4)
          | ~ leq(n0,X4)
          | ~ leq(X4,n4) )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select3(center_init,X0,n0)
        | ~ leq(X0,n4)
        | ~ leq(n0,X0) )
    & ( ! [X5] :
          ( init = a_select2(muold_init,X5)
          | ~ leq(n0,X5)
          | ~ leq(X5,n4) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X3] :
          ( init = a_select2(rhoold_init,X3)
          | ~ leq(n0,X3)
          | ~ leq(X3,n4) )
      | ~ gt(loopcounter,n1) )
    & ! [X6] :
        ( init = a_select2(rho_init,X6)
        | ~ leq(n0,X6)
        | ~ leq(X6,n4) ) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( ! [X1] :
            ( ( leq(n0,X1)
              & leq(X1,n135299) )
           => ! [X2] :
                ( ( leq(X2,n4)
                  & leq(n0,X2) )
               => init = a_select3(q_init,X1,X2) ) )
        & gt(loopcounter,n1)
        & ( gt(loopcounter,n1)
         => ! [X4] :
              ( ( leq(n0,X4)
                & leq(X4,n4) )
             => init = a_select2(sigmaold_init,X4) ) )
        & ! [X0] :
            ( ( leq(X0,n4)
              & leq(n0,X0) )
           => init = a_select3(center_init,X0,n0) )
        & ( gt(loopcounter,n1)
         => ! [X5] :
              ( ( leq(n0,X5)
                & leq(X5,n4) )
             => init = a_select2(muold_init,X5) ) )
        & ( gt(loopcounter,n1)
         => ! [X3] :
              ( ( leq(n0,X3)
                & leq(X3,n4) )
             => init = a_select2(rhoold_init,X3) ) )
        & ! [X6] :
            ( ( leq(n0,X6)
              & leq(X6,n4) )
           => init = a_select2(rho_init,X6) ) )
     => ! [X7] :
          ( ( leq(X7,n4)
            & leq(n0,X7) )
         => init = a_select2(sigmaold_init,X7) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X19] :
            ( ( leq(X19,n4)
              & leq(n0,X19) )
           => init = a_select3(center_init,X19,n0) )
        & gt(loopcounter,n1)
        & ! [X13] :
            ( ( leq(X13,n135299)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(n0,X17)
                  & leq(X17,n4) )
               => a_select3(q_init,X13,X17) = init ) )
        & ( gt(loopcounter,n1)
         => ! [X21] :
              ( ( leq(n0,X21)
                & leq(X21,n4) )
             => init = a_select2(rhoold_init,X21) ) )
        & ( gt(loopcounter,n1)
         => ! [X27] :
              ( ( leq(n0,X27)
                & leq(X27,n4) )
             => init = a_select2(sigmaold_init,X27) ) )
        & ( gt(loopcounter,n1)
         => ! [X20] :
              ( ( leq(n0,X20)
                & leq(X20,n4) )
             => init = a_select2(muold_init,X20) ) )
        & ! [X3] :
            ( ( leq(n0,X3)
              & leq(X3,n4) )
           => init = a_select2(rho_init,X3) ) )
     => ! [X28] :
          ( ( leq(X28,n4)
            & leq(n0,X28) )
         => init = a_select2(sigmaold_init,X28) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ! [X19] :
          ( ( leq(X19,n4)
            & leq(n0,X19) )
         => init = a_select3(center_init,X19,n0) )
      & gt(loopcounter,n1)
      & ! [X13] :
          ( ( leq(X13,n135299)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(n0,X17)
                & leq(X17,n4) )
             => a_select3(q_init,X13,X17) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X21] :
            ( ( leq(n0,X21)
              & leq(X21,n4) )
           => init = a_select2(rhoold_init,X21) ) )
      & ( gt(loopcounter,n1)
       => ! [X27] :
            ( ( leq(n0,X27)
              & leq(X27,n4) )
           => init = a_select2(sigmaold_init,X27) ) )
      & ( gt(loopcounter,n1)
       => ! [X20] :
            ( ( leq(n0,X20)
              & leq(X20,n4) )
           => init = a_select2(muold_init,X20) ) )
      & ! [X3] :
          ( ( leq(n0,X3)
            & leq(X3,n4) )
         => init = a_select2(rho_init,X3) ) )
   => ! [X28] :
        ( ( leq(X28,n4)
          & leq(n0,X28) )
       => init = a_select2(sigmaold_init,X28) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0096) ).

fof(f867,plain,
    ( init = a_select2(sigmaold_init,n1)
    | ~ leq(n1,n4)
    | ~ spl1_4
    | ~ spl1_11 ),
    inference(resolution,[],[f846,f209]) ).

fof(f209,plain,
    ( ! [X7] :
        ( ~ leq(n0,X7)
        | ~ leq(X7,n4)
        | init = a_select2(sigmaold_init,X7) )
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl1_4
  <=> ! [X7] :
        ( init = a_select2(sigmaold_init,X7)
        | ~ leq(n0,X7)
        | ~ leq(X7,n4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f846,plain,
    ( leq(n0,n1)
    | ~ spl1_11 ),
    inference(forward_demodulation,[],[f140,f280]) ).

fof(f140,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f124]) ).

fof(f821,plain,
    ( ~ spl1_4
    | ~ spl1_5 ),
    inference(avatar_contradiction_clause,[],[f820]) ).

fof(f820,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(subsumption_resolution,[],[f815,f614]) ).

fof(f614,plain,
    ( init = a_select2(sigmaold_init,n4)
    | ~ spl1_4 ),
    inference(unit_resulting_resolution,[],[f236,f172,f209]) ).

fof(f172,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : leq(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).

fof(f236,plain,
    leq(n0,n4),
    inference(unit_resulting_resolution,[],[f138,f140,f191]) ).

fof(f191,plain,
    ! [X2,X0,X1] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( ~ leq(X1,X2)
      | leq(X0,X2)
      | ~ leq(X0,X1) ),
    inference(rectify,[],[f104]) ).

fof(f104,plain,
    ! [X0,X2,X1] :
      ( ~ leq(X2,X1)
      | leq(X0,X1)
      | ~ leq(X0,X2) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X1,X0,X2] :
      ( leq(X0,X1)
      | ~ leq(X2,X1)
      | ~ leq(X0,X2) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X1,X0,X2] :
      ( ( leq(X2,X1)
        & leq(X0,X2) )
     => leq(X0,X1) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X2,X1] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).

fof(f138,plain,
    leq(sK0,n4),
    inference(cnf_transformation,[],[f124]) ).

fof(f815,plain,
    ( init != a_select2(sigmaold_init,n4)
    | ~ spl1_5 ),
    inference(backward_demodulation,[],[f139,f229]) ).

fof(f229,plain,
    ( n4 = sK0
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl1_5
  <=> n4 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f805,plain,
    ( ~ spl1_11
    | spl1_28 ),
    inference(avatar_contradiction_clause,[],[f804]) ).

fof(f804,plain,
    ( $false
    | ~ spl1_11
    | spl1_28 ),
    inference(subsumption_resolution,[],[f803,f518]) ).

fof(f518,plain,
    ( ~ leq(n1,n4)
    | spl1_28 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f803,plain,
    ( leq(n1,n4)
    | ~ spl1_11 ),
    inference(forward_demodulation,[],[f138,f280]) ).

fof(f795,plain,
    ( ~ spl1_4
    | ~ spl1_10 ),
    inference(avatar_contradiction_clause,[],[f794]) ).

fof(f794,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f793,f731]) ).

fof(f731,plain,
    ( leq(n3,n4)
    | ~ spl1_10 ),
    inference(forward_demodulation,[],[f138,f276]) ).

fof(f276,plain,
    ( n3 = sK0
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl1_10
  <=> n3 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f793,plain,
    ( ~ leq(n3,n4)
    | ~ spl1_4
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f772,f720]) ).

fof(f720,plain,
    ( init != a_select2(sigmaold_init,n3)
    | ~ spl1_10 ),
    inference(backward_demodulation,[],[f139,f276]) ).

fof(f772,plain,
    ( init = a_select2(sigmaold_init,n3)
    | ~ leq(n3,n4)
    | ~ spl1_4
    | ~ spl1_10 ),
    inference(resolution,[],[f734,f209]) ).

fof(f734,plain,
    ( leq(n0,n3)
    | ~ spl1_10 ),
    inference(forward_demodulation,[],[f140,f276]) ).

fof(f719,plain,
    ( ~ spl1_4
    | ~ spl1_9 ),
    inference(avatar_contradiction_clause,[],[f718]) ).

fof(f718,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_9 ),
    inference(subsumption_resolution,[],[f717,f644]) ).

fof(f644,plain,
    ( init != a_select2(sigmaold_init,n2)
    | ~ spl1_9 ),
    inference(backward_demodulation,[],[f139,f272]) ).

fof(f272,plain,
    ( n2 = sK0
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl1_9
  <=> n2 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f717,plain,
    ( init = a_select2(sigmaold_init,n2)
    | ~ spl1_4
    | ~ spl1_9 ),
    inference(subsumption_resolution,[],[f695,f652]) ).

fof(f652,plain,
    ( leq(n2,n4)
    | ~ spl1_9 ),
    inference(forward_demodulation,[],[f138,f272]) ).

fof(f695,plain,
    ( ~ leq(n2,n4)
    | init = a_select2(sigmaold_init,n2)
    | ~ spl1_4
    | ~ spl1_9 ),
    inference(resolution,[],[f655,f209]) ).

fof(f655,plain,
    ( leq(n0,n2)
    | ~ spl1_9 ),
    inference(forward_demodulation,[],[f140,f272]) ).

fof(f642,plain,
    ( ~ spl1_4
    | ~ spl1_7 ),
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f641,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_7 ),
    inference(subsumption_resolution,[],[f640,f313]) ).

fof(f313,plain,
    ( init != a_select2(sigmaold_init,n0)
    | ~ spl1_7 ),
    inference(backward_demodulation,[],[f139,f262]) ).

fof(f262,plain,
    ( n0 = sK0
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl1_7
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f640,plain,
    ( init = a_select2(sigmaold_init,n0)
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f625,f236]) ).

fof(f625,plain,
    ( ~ leq(n0,n4)
    | init = a_select2(sigmaold_init,n0)
    | ~ spl1_4 ),
    inference(resolution,[],[f209,f172]) ).

fof(f281,plain,
    ( spl1_5
    | spl1_9
    | spl1_10
    | spl1_11
    | spl1_7 ),
    inference(avatar_split_clause,[],[f268,f260,f278,f274,f270,f227]) ).

fof(f268,plain,
    ( n0 = sK0
    | n1 = sK0
    | n3 = sK0
    | n2 = sK0
    | n4 = sK0 ),
    inference(subsumption_resolution,[],[f244,f138]) ).

fof(f244,plain,
    ( n2 = sK0
    | n4 = sK0
    | n0 = sK0
    | n1 = sK0
    | ~ leq(sK0,n4)
    | n3 = sK0 ),
    inference(resolution,[],[f140,f193]) ).

fof(f193,plain,
    ! [X0] :
      ( n1 = X0
      | n2 = X0
      | n3 = X0
      | ~ leq(X0,n4)
      | n4 = X0
      | n0 = X0
      | ~ leq(n0,X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,n4)
      | n0 = X0
      | n2 = X0
      | n3 = X0
      | n1 = X0
      | n4 = X0 ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( n1 = X0
      | n0 = X0
      | n4 = X0
      | n2 = X0
      | n3 = X0
      | ~ leq(X0,n4)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ( leq(X0,n4)
        & leq(n0,X0) )
     => ( n1 = X0
        | n0 = X0
        | n4 = X0
        | n2 = X0
        | n3 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_4) ).

fof(f211,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f133,f199]) ).

fof(f199,plain,
    ( spl1_2
  <=> gt(loopcounter,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f133,plain,
    gt(loopcounter,n1),
    inference(cnf_transformation,[],[f124]) ).

fof(f210,plain,
    ( ~ spl1_2
    | spl1_4 ),
    inference(avatar_split_clause,[],[f131,f208,f199]) ).

fof(f131,plain,
    ! [X7] :
      ( init = a_select2(sigmaold_init,X7)
      | ~ leq(X7,n4)
      | ~ leq(n0,X7)
      | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV184+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 18:50:46 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  % (12585)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)
% 0.22/0.50  % (12593)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)
% 0.22/0.50  % (12593)Instruction limit reached!
% 0.22/0.50  % (12593)------------------------------
% 0.22/0.50  % (12593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51  % (12585)First to succeed.
% 0.22/0.51  % (12593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51  % (12593)Termination reason: Unknown
% 0.22/0.51  % (12593)Termination phase: Property scanning
% 0.22/0.51  
% 0.22/0.51  % (12593)Memory used [KB]: 1663
% 0.22/0.51  % (12593)Time elapsed: 0.005 s
% 0.22/0.51  % (12593)Instructions burned: 9 (million)
% 0.22/0.51  % (12593)------------------------------
% 0.22/0.51  % (12593)------------------------------
% 0.22/0.52  % (12585)Refutation found. Thanks to Tanya!
% 0.22/0.52  % SZS status Theorem for theBenchmark
% 0.22/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52  % (12585)------------------------------
% 0.22/0.52  % (12585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52  % (12585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.52  % (12585)Termination reason: Refutation
% 0.22/0.52  
% 0.22/0.52  % (12585)Memory used [KB]: 6268
% 0.22/0.52  % (12585)Time elapsed: 0.076 s
% 0.22/0.52  % (12585)Instructions burned: 20 (million)
% 0.22/0.52  % (12585)------------------------------
% 0.22/0.52  % (12585)------------------------------
% 0.22/0.52  % (12577)Success in time 0.147 s
%------------------------------------------------------------------------------