TSTP Solution File: SWV173+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV173+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 : n027.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 18:44:24 EDT 2022

% Result   : Theorem 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   74 (   8 unt;   0 def)
%            Number of atoms       :  426 ( 117 equ)
%            Maximal formula atoms :   35 (   5 avg)
%            Number of connectives :  528 ( 176   ~; 182   |; 117   &)
%                                         (   9 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  10 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  18 con; 0-3 aty)
%            Number of variables   :   79 (  75   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f965,plain,
    $false,
    inference(avatar_sat_refutation,[],[f207,f212,f296,f662,f683,f729,f844,f860,f867,f882,f964]) ).

fof(f964,plain,
    ( ~ spl1_2
    | ~ spl1_9
    | ~ spl1_42 ),
    inference(avatar_contradiction_clause,[],[f963]) ).

fof(f963,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_9
    | ~ spl1_42 ),
    inference(subsumption_resolution,[],[f960,f667]) ).

fof(f667,plain,
    ( leq(n0,n4)
    | ~ spl1_42 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl1_42
  <=> leq(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).

fof(f960,plain,
    ( ~ leq(n0,n4)
    | ~ spl1_2
    | ~ spl1_9 ),
    inference(unit_resulting_resolution,[],[f159,f871,f206]) ).

fof(f206,plain,
    ( ! [X0] :
        ( ~ leq(n0,X0)
        | init = a_select2(rhoold_init,X0)
        | ~ leq(X0,n4) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl1_2
  <=> ! [X0] :
        ( ~ leq(n0,X0)
        | init = a_select2(rhoold_init,X0)
        | ~ leq(X0,n4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f871,plain,
    ( init != a_select2(rhoold_init,n4)
    | ~ spl1_9 ),
    inference(forward_demodulation,[],[f188,f259]) ).

fof(f259,plain,
    ( n4 = sK0
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl1_9
  <=> n4 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f188,plain,
    init != a_select2(rhoold_init,sK0),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ( ! [X0] :
          ( ~ leq(X0,n4)
          | ~ leq(n0,X0)
          | init = a_select2(rhoold_init,X0) )
      | ~ gt(loopcounter,n1) )
    & leq(pv10,n135299)
    & gt(loopcounter,n1)
    & ! [X1] :
        ( init = a_select2(rho_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ( ! [X2] :
          ( init = a_select2(sigmaold_init,X2)
          | ~ leq(n0,X2)
          | ~ leq(X2,n4) )
      | ~ gt(loopcounter,n1) )
    & ! [X3] :
        ( ~ leq(n0,X3)
        | init = a_select2(mu_init,X3)
        | ~ leq(X3,n4) )
    & leq(n0,pv10)
    & ! [X4] :
        ( ~ leq(n0,X4)
        | init = a_select2(sigma_init,X4)
        | ~ leq(X4,n4) )
    & ! [X5] :
        ( ~ leq(n0,X5)
        | ~ leq(X5,n4)
        | init = a_select3(center_init,X5,n0) )
    & ( ! [X6] :
          ( ~ leq(n0,X6)
          | ~ leq(X6,n4)
          | init = a_select2(muold_init,X6) )
      | ~ gt(loopcounter,n1) )
    & leq(sK0,n4)
    & init != a_select2(rhoold_init,sK0)
    & leq(n0,sK0)
    & ! [X8] :
        ( ! [X9] :
            ( ~ leq(X9,n4)
            | ~ leq(n0,X9)
            | init = a_select3(q_init,X8,X9) )
        | ~ leq(X8,n135299)
        | ~ leq(n0,X8) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f129,f130]) ).

fof(f130,plain,
    ( ? [X7] :
        ( leq(X7,n4)
        & init != a_select2(rhoold_init,X7)
        & leq(n0,X7) )
   => ( leq(sK0,n4)
      & init != a_select2(rhoold_init,sK0)
      & leq(n0,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ( ! [X0] :
          ( ~ leq(X0,n4)
          | ~ leq(n0,X0)
          | init = a_select2(rhoold_init,X0) )
      | ~ gt(loopcounter,n1) )
    & leq(pv10,n135299)
    & gt(loopcounter,n1)
    & ! [X1] :
        ( init = a_select2(rho_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ( ! [X2] :
          ( init = a_select2(sigmaold_init,X2)
          | ~ leq(n0,X2)
          | ~ leq(X2,n4) )
      | ~ gt(loopcounter,n1) )
    & ! [X3] :
        ( ~ leq(n0,X3)
        | init = a_select2(mu_init,X3)
        | ~ leq(X3,n4) )
    & leq(n0,pv10)
    & ! [X4] :
        ( ~ leq(n0,X4)
        | init = a_select2(sigma_init,X4)
        | ~ leq(X4,n4) )
    & ! [X5] :
        ( ~ leq(n0,X5)
        | ~ leq(X5,n4)
        | init = a_select3(center_init,X5,n0) )
    & ( ! [X6] :
          ( ~ leq(n0,X6)
          | ~ leq(X6,n4)
          | init = a_select2(muold_init,X6) )
      | ~ gt(loopcounter,n1) )
    & ? [X7] :
        ( leq(X7,n4)
        & init != a_select2(rhoold_init,X7)
        & leq(n0,X7) )
    & ! [X8] :
        ( ! [X9] :
            ( ~ leq(X9,n4)
            | ~ leq(n0,X9)
            | init = a_select3(q_init,X8,X9) )
        | ~ leq(X8,n135299)
        | ~ leq(n0,X8) ) ),
    inference(rectify,[],[f102]) ).

fof(f102,plain,
    ( ( ! [X4] :
          ( ~ leq(X4,n4)
          | ~ leq(n0,X4)
          | init = a_select2(rhoold_init,X4) )
      | ~ gt(loopcounter,n1) )
    & leq(pv10,n135299)
    & gt(loopcounter,n1)
    & ! [X7] :
        ( init = a_select2(rho_init,X7)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & ( ! [X3] :
          ( init = a_select2(sigmaold_init,X3)
          | ~ leq(n0,X3)
          | ~ leq(X3,n4) )
      | ~ gt(loopcounter,n1) )
    & ! [X8] :
        ( ~ leq(n0,X8)
        | init = a_select2(mu_init,X8)
        | ~ leq(X8,n4) )
    & leq(n0,pv10)
    & ! [X2] :
        ( ~ leq(n0,X2)
        | init = a_select2(sigma_init,X2)
        | ~ leq(X2,n4) )
    & ! [X1] :
        ( ~ leq(n0,X1)
        | ~ leq(X1,n4)
        | init = a_select3(center_init,X1,n0) )
    & ( ! [X0] :
          ( ~ leq(n0,X0)
          | ~ leq(X0,n4)
          | init = a_select2(muold_init,X0) )
      | ~ gt(loopcounter,n1) )
    & ? [X9] :
        ( leq(X9,n4)
        & init != a_select2(rhoold_init,X9)
        & leq(n0,X9) )
    & ! [X5] :
        ( ! [X6] :
            ( ~ leq(X6,n4)
            | ~ leq(n0,X6)
            | init = a_select3(q_init,X5,X6) )
        | ~ leq(X5,n135299)
        | ~ leq(n0,X5) ) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ( ? [X9] :
        ( init != a_select2(rhoold_init,X9)
        & leq(X9,n4)
        & leq(n0,X9) )
    & gt(loopcounter,n1)
    & ( ! [X0] :
          ( init = a_select2(muold_init,X0)
          | ~ leq(n0,X0)
          | ~ leq(X0,n4) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X3] :
          ( init = a_select2(sigmaold_init,X3)
          | ~ leq(n0,X3)
          | ~ leq(X3,n4) )
      | ~ gt(loopcounter,n1) )
    & ! [X5] :
        ( ! [X6] :
            ( init = a_select3(q_init,X5,X6)
            | ~ leq(n0,X6)
            | ~ leq(X6,n4) )
        | ~ leq(X5,n135299)
        | ~ leq(n0,X5) )
    & ! [X2] :
        ( init = a_select2(sigma_init,X2)
        | ~ leq(X2,n4)
        | ~ leq(n0,X2) )
    & ! [X1] :
        ( init = a_select3(center_init,X1,n0)
        | ~ leq(n0,X1)
        | ~ leq(X1,n4) )
    & leq(pv10,n135299)
    & ( ! [X4] :
          ( init = a_select2(rhoold_init,X4)
          | ~ leq(n0,X4)
          | ~ leq(X4,n4) )
      | ~ gt(loopcounter,n1) )
    & ! [X8] :
        ( init = a_select2(mu_init,X8)
        | ~ leq(X8,n4)
        | ~ leq(n0,X8) )
    & ! [X7] :
        ( init = a_select2(rho_init,X7)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & leq(n0,pv10) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( gt(loopcounter,n1)
        & ( gt(loopcounter,n1)
         => ! [X0] :
              ( ( leq(n0,X0)
                & leq(X0,n4) )
             => init = a_select2(muold_init,X0) ) )
        & ( gt(loopcounter,n1)
         => ! [X3] :
              ( ( leq(n0,X3)
                & leq(X3,n4) )
             => init = a_select2(sigmaold_init,X3) ) )
        & ! [X5] :
            ( ( leq(X5,n135299)
              & leq(n0,X5) )
           => ! [X6] :
                ( ( leq(n0,X6)
                  & leq(X6,n4) )
               => init = a_select3(q_init,X5,X6) ) )
        & ! [X2] :
            ( ( leq(X2,n4)
              & leq(n0,X2) )
           => init = a_select2(sigma_init,X2) )
        & ! [X1] :
            ( ( leq(n0,X1)
              & leq(X1,n4) )
           => init = a_select3(center_init,X1,n0) )
        & leq(pv10,n135299)
        & ( gt(loopcounter,n1)
         => ! [X4] :
              ( ( leq(n0,X4)
                & leq(X4,n4) )
             => init = a_select2(rhoold_init,X4) ) )
        & ! [X8] :
            ( ( leq(X8,n4)
              & leq(n0,X8) )
           => init = a_select2(mu_init,X8) )
        & ! [X7] :
            ( ( leq(X7,n4)
              & leq(n0,X7) )
           => init = a_select2(rho_init,X7) )
        & leq(n0,pv10) )
     => ! [X9] :
          ( ( leq(X9,n4)
            & leq(n0,X9) )
         => init = a_select2(rhoold_init,X9) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n1)
         => ! [X27] :
              ( ( leq(X27,n4)
                & leq(n0,X27) )
             => init = a_select2(muold_init,X27) ) )
        & ! [X21] :
            ( ( leq(X21,n4)
              & leq(n0,X21) )
           => init = a_select3(center_init,X21,n0) )
        & ! [X20] :
            ( ( leq(X20,n4)
              & leq(n0,X20) )
           => init = a_select2(sigma_init,X20) )
        & leq(pv10,n135299)
        & leq(n0,pv10)
        & ( gt(loopcounter,n1)
         => ! [X4] :
              ( ( leq(n0,X4)
                & leq(X4,n4) )
             => init = a_select2(sigmaold_init,X4) ) )
        & ( gt(loopcounter,n1)
         => ! [X28] :
              ( ( leq(n0,X28)
                & leq(X28,n4) )
             => init = a_select2(rhoold_init,X28) ) )
        & ! [X13] :
            ( ( leq(X13,n135299)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(n0,X17)
                  & leq(X17,n4) )
               => a_select3(q_init,X13,X17) = init ) )
        & ! [X3] :
            ( ( leq(n0,X3)
              & leq(X3,n4) )
           => init = a_select2(rho_init,X3) )
        & ! [X19] :
            ( ( leq(n0,X19)
              & leq(X19,n4) )
           => init = a_select2(mu_init,X19) )
        & gt(loopcounter,n1) )
     => ! [X10] :
          ( ( leq(n0,X10)
            & leq(X10,n4) )
         => init = a_select2(rhoold_init,X10) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n1)
       => ! [X27] :
            ( ( leq(X27,n4)
              & leq(n0,X27) )
           => init = a_select2(muold_init,X27) ) )
      & ! [X21] :
          ( ( leq(X21,n4)
            & leq(n0,X21) )
         => init = a_select3(center_init,X21,n0) )
      & ! [X20] :
          ( ( leq(X20,n4)
            & leq(n0,X20) )
         => init = a_select2(sigma_init,X20) )
      & leq(pv10,n135299)
      & leq(n0,pv10)
      & ( gt(loopcounter,n1)
       => ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,n4) )
           => init = a_select2(sigmaold_init,X4) ) )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => init = a_select2(rhoold_init,X28) ) )
      & ! [X13] :
          ( ( leq(X13,n135299)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(n0,X17)
                & leq(X17,n4) )
             => a_select3(q_init,X13,X17) = init ) )
      & ! [X3] :
          ( ( leq(n0,X3)
            & leq(X3,n4) )
         => init = a_select2(rho_init,X3) )
      & ! [X19] :
          ( ( leq(n0,X19)
            & leq(X19,n4) )
         => init = a_select2(mu_init,X19) )
      & gt(loopcounter,n1) )
   => ! [X10] :
        ( ( leq(n0,X10)
          & leq(X10,n4) )
       => init = a_select2(rhoold_init,X10) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0041) ).

fof(f159,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(f882,plain,
    ( spl1_42
    | ~ spl1_9 ),
    inference(avatar_split_clause,[],[f875,f257,f666]) ).

fof(f875,plain,
    ( leq(n0,n4)
    | ~ spl1_9 ),
    inference(forward_demodulation,[],[f187,f259]) ).

fof(f187,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f131]) ).

fof(f867,plain,
    ( ~ spl1_45
    | ~ spl1_5 ),
    inference(avatar_split_clause,[],[f847,f241,f680]) ).

fof(f680,plain,
    ( spl1_45
  <=> init = a_select2(rhoold_init,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).

fof(f241,plain,
    ( spl1_5
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

fof(f847,plain,
    ( init != a_select2(rhoold_init,n0)
    | ~ spl1_5 ),
    inference(backward_demodulation,[],[f188,f243]) ).

fof(f243,plain,
    ( n0 = sK0
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f860,plain,
    ( ~ spl1_5
    | spl1_42 ),
    inference(avatar_contradiction_clause,[],[f859]) ).

fof(f859,plain,
    ( $false
    | ~ spl1_5
    | spl1_42 ),
    inference(subsumption_resolution,[],[f848,f668]) ).

fof(f668,plain,
    ( ~ leq(n0,n4)
    | spl1_42 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f848,plain,
    ( leq(n0,n4)
    | ~ spl1_5 ),
    inference(backward_demodulation,[],[f189,f243]) ).

fof(f189,plain,
    leq(sK0,n4),
    inference(cnf_transformation,[],[f131]) ).

fof(f844,plain,
    ( ~ spl1_2
    | ~ spl1_8 ),
    inference(avatar_contradiction_clause,[],[f843]) ).

fof(f843,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f842,f731]) ).

fof(f731,plain,
    ( leq(n3,n4)
    | ~ spl1_8 ),
    inference(backward_demodulation,[],[f189,f255]) ).

fof(f255,plain,
    ( n3 = sK0
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl1_8
  <=> n3 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f842,plain,
    ( ~ leq(n3,n4)
    | ~ spl1_2
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f823,f732]) ).

fof(f732,plain,
    ( init != a_select2(rhoold_init,n3)
    | ~ spl1_8 ),
    inference(backward_demodulation,[],[f188,f255]) ).

fof(f823,plain,
    ( init = a_select2(rhoold_init,n3)
    | ~ leq(n3,n4)
    | ~ spl1_2
    | ~ spl1_8 ),
    inference(resolution,[],[f730,f206]) ).

fof(f730,plain,
    ( leq(n0,n3)
    | ~ spl1_8 ),
    inference(backward_demodulation,[],[f187,f255]) ).

fof(f729,plain,
    ( ~ spl1_2
    | ~ spl1_7 ),
    inference(avatar_contradiction_clause,[],[f728]) ).

fof(f728,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_7 ),
    inference(subsumption_resolution,[],[f720,f685]) ).

fof(f685,plain,
    ( leq(n0,n1)
    | ~ spl1_7 ),
    inference(backward_demodulation,[],[f187,f251]) ).

fof(f251,plain,
    ( n1 = sK0
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl1_7
  <=> n1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f720,plain,
    ( ~ leq(n0,n1)
    | ~ spl1_2
    | ~ spl1_7 ),
    inference(unit_resulting_resolution,[],[f688,f691,f206]) ).

fof(f691,plain,
    ( init != a_select2(rhoold_init,n1)
    | ~ spl1_7 ),
    inference(forward_demodulation,[],[f188,f251]) ).

fof(f688,plain,
    ( leq(n1,n4)
    | ~ spl1_7 ),
    inference(backward_demodulation,[],[f189,f251]) ).

fof(f683,plain,
    ( ~ spl1_42
    | spl1_45
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f646,f205,f680,f666]) ).

fof(f646,plain,
    ( init = a_select2(rhoold_init,n0)
    | ~ leq(n0,n4)
    | ~ spl1_2 ),
    inference(resolution,[],[f206,f159]) ).

fof(f662,plain,
    ( ~ spl1_2
    | ~ spl1_6 ),
    inference(avatar_contradiction_clause,[],[f661]) ).

fof(f661,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_6 ),
    inference(subsumption_resolution,[],[f637,f302]) ).

fof(f302,plain,
    ( leq(n2,n4)
    | ~ spl1_6 ),
    inference(backward_demodulation,[],[f189,f247]) ).

fof(f247,plain,
    ( n2 = sK0
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl1_6
  <=> n2 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

fof(f637,plain,
    ( ~ leq(n2,n4)
    | ~ spl1_2
    | ~ spl1_6 ),
    inference(unit_resulting_resolution,[],[f301,f300,f206]) ).

fof(f300,plain,
    ( init != a_select2(rhoold_init,n2)
    | ~ spl1_6 ),
    inference(backward_demodulation,[],[f188,f247]) ).

fof(f301,plain,
    ( leq(n0,n2)
    | ~ spl1_6 ),
    inference(backward_demodulation,[],[f187,f247]) ).

fof(f296,plain,
    ( spl1_5
    | spl1_8
    | spl1_9
    | spl1_6
    | spl1_7 ),
    inference(avatar_split_clause,[],[f295,f249,f245,f257,f253,f241]) ).

fof(f295,plain,
    ( n1 = sK0
    | n2 = sK0
    | n4 = sK0
    | n3 = sK0
    | n0 = sK0 ),
    inference(subsumption_resolution,[],[f223,f189]) ).

fof(f223,plain,
    ( n1 = sK0
    | n3 = sK0
    | ~ leq(sK0,n4)
    | n0 = sK0
    | n2 = sK0
    | n4 = sK0 ),
    inference(resolution,[],[f187,f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n3 = X0
      | ~ leq(X0,n4)
      | n4 = X0
      | n1 = X0
      | n2 = X0
      | n0 = X0 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( n4 = X0
      | n0 = X0
      | n3 = X0
      | n1 = X0
      | ~ leq(n0,X0)
      | n2 = X0
      | ~ leq(X0,n4) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( n0 = X0
      | n3 = X0
      | n1 = X0
      | n4 = X0
      | n2 = X0
      | ~ leq(n0,X0)
      | ~ leq(X0,n4) ),
    inference(ennf_transformation,[],[f83]) ).

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

fof(f212,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f197,f201]) ).

fof(f201,plain,
    ( spl1_1
  <=> gt(loopcounter,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f197,plain,
    gt(loopcounter,n1),
    inference(cnf_transformation,[],[f131]) ).

fof(f207,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f199,f205,f201]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,n4)
      | ~ gt(loopcounter,n1)
      | init = a_select2(rhoold_init,X0) ),
    inference(cnf_transformation,[],[f131]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV173+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
% 0.12/0.35  % Computer : n027.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Tue Aug 30 19:20:16 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.19/0.50  % (25396)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)
% 0.19/0.50  % (25380)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)
% 0.19/0.51  % (25388)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)
% 0.19/0.52  % (25388)Instruction limit reached!
% 0.19/0.52  % (25388)------------------------------
% 0.19/0.52  % (25388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25374)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)
% 0.19/0.52  % (25388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25388)Termination reason: Unknown
% 0.19/0.52  % (25388)Termination phase: Property scanning
% 0.19/0.52  
% 0.19/0.52  % (25388)Memory used [KB]: 1663
% 0.19/0.52  % (25388)Time elapsed: 0.007 s
% 0.19/0.52  % (25388)Instructions burned: 7 (million)
% 0.19/0.52  % (25385)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)
% 0.19/0.53  % (25388)------------------------------
% 0.19/0.53  % (25388)------------------------------
% 0.19/0.53  % (25395)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)
% 0.19/0.53  % (25391)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)
% 0.19/0.53  % (25386)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)
% 0.19/0.53  % (25391)Instruction limit reached!
% 0.19/0.53  % (25391)------------------------------
% 0.19/0.53  % (25391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (25391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (25391)Termination reason: Unknown
% 0.19/0.53  % (25391)Termination phase: Preprocessing 3
% 0.19/0.53  
% 0.19/0.53  % (25391)Memory used [KB]: 1535
% 0.19/0.53  % (25391)Time elapsed: 0.002 s
% 0.19/0.53  % (25391)Instructions burned: 2 (million)
% 0.19/0.53  % (25391)------------------------------
% 0.19/0.53  % (25391)------------------------------
% 0.19/0.53  % (25382)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)
% 0.19/0.54  % (25375)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)
% 0.19/0.54  % (25380)First to succeed.
% 0.19/0.54  % (25375)Instruction limit reached!
% 0.19/0.54  % (25375)------------------------------
% 0.19/0.54  % (25375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (25375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (25375)Termination reason: Unknown
% 0.19/0.54  % (25375)Termination phase: Preprocessing 3
% 0.19/0.54  
% 0.19/0.54  % (25375)Memory used [KB]: 1535
% 0.19/0.54  % (25375)Time elapsed: 0.003 s
% 0.19/0.54  % (25375)Instructions burned: 3 (million)
% 0.19/0.54  % (25375)------------------------------
% 0.19/0.54  % (25375)------------------------------
% 0.19/0.54  % (25383)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)
% 0.19/0.54  % (25376)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)
% 0.19/0.54  % (25377)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)
% 0.19/0.54  % (25373)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.54  % (25384)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)
% 0.19/0.54  % (25399)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)
% 0.19/0.54  % (25387)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)
% 0.19/0.54  % (25380)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Theorem for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (25380)------------------------------
% 0.19/0.54  % (25380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (25380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (25380)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (25380)Memory used [KB]: 6396
% 0.19/0.54  % (25380)Time elapsed: 0.115 s
% 0.19/0.54  % (25380)Instructions burned: 24 (million)
% 0.19/0.54  % (25380)------------------------------
% 0.19/0.54  % (25380)------------------------------
% 0.19/0.54  % (25372)Success in time 0.183 s
%------------------------------------------------------------------------------