TSTP Solution File: SWV028+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV028+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 04:02:14 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  195 (  27 unt;   0 def)
%            Number of atoms       : 1460 ( 285 equ)
%            Maximal formula atoms :   62 (   7 avg)
%            Number of connectives : 2038 ( 773   ~; 859   |; 336   &)
%                                         (  26 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   33 (  31 usr;  29 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;  27 con; 0-3 aty)
%            Number of variables   :  104 (  73   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f592,plain,
    $false,
    inference(avatar_sat_refutation,[],[f314,f323,f332,f390,f396,f402,f408,f410,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f423,f424,f425,f474,f479,f513,f514,f564,f591]) ).

fof(f591,plain,
    ( spl9_17
    | ~ spl9_21
    | ~ spl9_22 ),
    inference(avatar_contradiction_clause,[],[f590]) ).

fof(f590,plain,
    ( $false
    | spl9_17
    | ~ spl9_21
    | ~ spl9_22 ),
    inference(subsumption_resolution,[],[f589,f401]) ).

fof(f401,plain,
    ( leq(n0,sK7)
    | ~ spl9_22 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f399,plain,
    ( spl9_22
  <=> leq(n0,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).

fof(f589,plain,
    ( ~ leq(n0,sK7)
    | spl9_17
    | ~ spl9_21 ),
    inference(subsumption_resolution,[],[f586,f395]) ).

fof(f395,plain,
    ( leq(sK7,minus(n3,n1))
    | ~ spl9_21 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f393,plain,
    ( spl9_21
  <=> leq(sK7,minus(n3,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).

fof(f586,plain,
    ( ~ leq(sK7,minus(n3,n1))
    | ~ leq(n0,sK7)
    | spl9_17 ),
    inference(resolution,[],[f377,f276]) ).

fof(f276,plain,
    ! [X1] :
      ( sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,X1))
      | ~ leq(X1,minus(n3,n1))
      | ~ leq(n0,X1) ),
    inference(equality_proxy_replacement,[],[f252,f263]) ).

fof(f263,plain,
    ! [X0,X1] :
      ( sQ8_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ8_eqProxy])]) ).

fof(f252,plain,
    ! [X1] :
      ( s_worst7_init = a_select2(s_try7_init,X1)
      | ~ leq(X1,minus(n3,n1))
      | ~ leq(n0,X1) ),
    inference(definition_unfolding,[],[f170,f156]) ).

fof(f156,plain,
    init = s_worst7_init,
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ( init != a_select2(s_try7_init,sK7)
        & leq(sK7,minus(n3,n1))
        & leq(n0,sK7) )
      | sP2
      | sP1
      | sP0
      | ~ leq(pv1376,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X1] :
        ( init = a_select2(s_try7_init,X1)
        | ~ leq(X1,minus(n3,n1))
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_center7_init,X2)
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( init = a_select2(s_values7_init,X3)
        | ~ leq(X3,n3)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( ! [X5] :
            ( init = a_select3(simplex7_init,X5,X4)
            | ~ leq(X5,n3)
            | ~ leq(n0,X5) )
        | ~ leq(X4,n2)
        | ~ leq(n0,X4) )
    & leq(pv1376,n3)
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f136,f137]) ).

fof(f137,plain,
    ( ? [X0] :
        ( init != a_select2(s_try7_init,X0)
        & leq(X0,minus(n3,n1))
        & leq(n0,X0) )
   => ( init != a_select2(s_try7_init,sK7)
      & leq(sK7,minus(n3,n1))
      & leq(n0,sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X0] :
          ( init != a_select2(s_try7_init,X0)
          & leq(X0,minus(n3,n1))
          & leq(n0,X0) )
      | sP2
      | sP1
      | sP0
      | ~ leq(pv1376,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X1] :
        ( init = a_select2(s_try7_init,X1)
        | ~ leq(X1,minus(n3,n1))
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_center7_init,X2)
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( init = a_select2(s_values7_init,X3)
        | ~ leq(X3,n3)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( ! [X5] :
            ( init = a_select3(simplex7_init,X5,X4)
            | ~ leq(X5,n3)
            | ~ leq(n0,X5) )
        | ~ leq(X4,n2)
        | ~ leq(n0,X4) )
    & leq(pv1376,n3)
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(rectify,[],[f122]) ).

fof(f122,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X5] :
          ( init != a_select2(s_try7_init,X5)
          & leq(X5,minus(n3,n1))
          & leq(n0,X5) )
      | sP2
      | sP1
      | sP0
      | ~ leq(pv1376,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_try7_init,X0)
        | ~ leq(X0,minus(n3,n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,n2)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) )
    & leq(pv1376,n3)
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(definition_folding,[],[f96,f121,f120,f119]) ).

fof(f119,plain,
    ( ? [X8] :
        ( ? [X9] :
            ( init != a_select3(simplex7_init,X9,X8)
            & leq(X9,n3)
            & leq(n0,X9) )
        & leq(X8,n2)
        & leq(n0,X8) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f120,plain,
    ( ? [X7] :
        ( init != a_select2(s_values7_init,X7)
        & leq(X7,n3)
        & leq(n0,X7) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f121,plain,
    ( ? [X6] :
        ( init != a_select2(s_center7_init,X6)
        & leq(X6,n2)
        & leq(n0,X6) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f96,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X5] :
          ( init != a_select2(s_try7_init,X5)
          & leq(X5,minus(n3,n1))
          & leq(n0,X5) )
      | ? [X6] :
          ( init != a_select2(s_center7_init,X6)
          & leq(X6,n2)
          & leq(n0,X6) )
      | ? [X7] :
          ( init != a_select2(s_values7_init,X7)
          & leq(X7,n3)
          & leq(n0,X7) )
      | ? [X8] :
          ( ? [X9] :
              ( init != a_select3(simplex7_init,X9,X8)
              & leq(X9,n3)
              & leq(n0,X9) )
          & leq(X8,n2)
          & leq(n0,X8) )
      | ~ leq(pv1376,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_try7_init,X0)
        | ~ leq(X0,minus(n3,n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,n2)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) )
    & leq(pv1376,n3)
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X5] :
          ( init != a_select2(s_try7_init,X5)
          & leq(X5,minus(n3,n1))
          & leq(n0,X5) )
      | ? [X6] :
          ( init != a_select2(s_center7_init,X6)
          & leq(X6,n2)
          & leq(n0,X6) )
      | ? [X7] :
          ( init != a_select2(s_values7_init,X7)
          & leq(X7,n3)
          & leq(n0,X7) )
      | ? [X8] :
          ( ? [X9] :
              ( init != a_select3(simplex7_init,X9,X8)
              & leq(X9,n3)
              & leq(n0,X9) )
          & leq(X8,n2)
          & leq(n0,X8) )
      | ~ leq(pv1376,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_try7_init,X0)
        | ~ leq(X0,minus(n3,n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,n2)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) )
    & leq(pv1376,n3)
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X0] :
            ( ( leq(X0,minus(n3,n1))
              & leq(n0,X0) )
           => init = a_select2(s_try7_init,X0) )
        & ! [X1] :
            ( ( leq(X1,n2)
              & leq(n0,X1) )
           => init = a_select2(s_center7_init,X1) )
        & ! [X2] :
            ( ( leq(X2,n3)
              & leq(n0,X2) )
           => init = a_select2(s_values7_init,X2) )
        & ! [X3] :
            ( ( leq(X3,n2)
              & leq(n0,X3) )
           => ! [X4] :
                ( ( leq(X4,n3)
                  & leq(n0,X4) )
               => init = a_select3(simplex7_init,X4,X3) ) )
        & leq(pv1376,n3)
        & leq(pv19,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv1376)
        & leq(n0,pv19)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & init = s_worst7_init
        & init = s_sworst7_init
        & init = s_best7_init
        & init = init )
     => ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X5] :
            ( ( leq(X5,minus(n3,n1))
              & leq(n0,X5) )
           => init = a_select2(s_try7_init,X5) )
        & ! [X6] :
            ( ( leq(X6,n2)
              & leq(n0,X6) )
           => init = a_select2(s_center7_init,X6) )
        & ! [X7] :
            ( ( leq(X7,n3)
              & leq(n0,X7) )
           => init = a_select2(s_values7_init,X7) )
        & ! [X8] :
            ( ( leq(X8,n2)
              & leq(n0,X8) )
           => ! [X9] :
                ( ( leq(X9,n3)
                  & leq(n0,X9) )
               => init = a_select3(simplex7_init,X9,X8) ) )
        & leq(pv1376,n3)
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv1376)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & init = s_worst7_init
        & init = s_sworst7_init
        & init = s_best7_init
        & init = init ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X20] :
            ( ( leq(X20,minus(n3,n1))
              & leq(n0,X20) )
           => init = a_select2(s_try7_init,X20) )
        & ! [X19] :
            ( ( leq(X19,n2)
              & leq(n0,X19) )
           => init = a_select2(s_center7_init,X19) )
        & ! [X3] :
            ( ( leq(X3,n3)
              & leq(n0,X3) )
           => init = a_select2(s_values7_init,X3) )
        & ! [X13] :
            ( ( leq(X13,n2)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n3)
                  & leq(n0,X17) )
               => init = a_select3(simplex7_init,X17,X13) ) )
        & leq(pv1376,n3)
        & leq(pv19,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv1376)
        & leq(n0,pv19)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & init = s_worst7_init
        & init = s_sworst7_init
        & init = s_best7_init
        & init = init )
     => ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X10] :
            ( ( leq(X10,minus(n3,n1))
              & leq(n0,X10) )
           => init = a_select2(s_try7_init,X10) )
        & ! [X4] :
            ( ( leq(X4,n2)
              & leq(n0,X4) )
           => init = a_select2(s_center7_init,X4) )
        & ! [X28] :
            ( ( leq(X28,n3)
              & leq(n0,X28) )
           => init = a_select2(s_values7_init,X28) )
        & ! [X21] :
            ( ( leq(X21,n2)
              & leq(n0,X21) )
           => ! [X27] :
                ( ( leq(X27,n3)
                  & leq(n0,X27) )
               => init = a_select3(simplex7_init,X27,X21) ) )
        & leq(pv1376,n3)
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv1376)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & init = s_worst7_init
        & init = s_sworst7_init
        & init = s_best7_init
        & init = init ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n1)
       => ( init = pvar1402_init
          & init = pvar1401_init
          & init = pvar1400_init ) )
      & ! [X20] :
          ( ( leq(X20,minus(n3,n1))
            & leq(n0,X20) )
         => init = a_select2(s_try7_init,X20) )
      & ! [X19] :
          ( ( leq(X19,n2)
            & leq(n0,X19) )
         => init = a_select2(s_center7_init,X19) )
      & ! [X3] :
          ( ( leq(X3,n3)
            & leq(n0,X3) )
         => init = a_select2(s_values7_init,X3) )
      & ! [X13] :
          ( ( leq(X13,n2)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n3)
                & leq(n0,X17) )
             => init = a_select3(simplex7_init,X17,X13) ) )
      & leq(pv1376,n3)
      & leq(pv19,minus(n410,n1))
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv1376)
      & leq(n0,pv19)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7)
      & init = s_worst7_init
      & init = s_sworst7_init
      & init = s_best7_init
      & init = init )
   => ( ( gt(loopcounter,n1)
       => ( init = pvar1402_init
          & init = pvar1401_init
          & init = pvar1400_init ) )
      & ! [X10] :
          ( ( leq(X10,minus(n3,n1))
            & leq(n0,X10) )
         => init = a_select2(s_try7_init,X10) )
      & ! [X4] :
          ( ( leq(X4,n2)
            & leq(n0,X4) )
         => init = a_select2(s_center7_init,X4) )
      & ! [X28] :
          ( ( leq(X28,n3)
            & leq(n0,X28) )
         => init = a_select2(s_values7_init,X28) )
      & ! [X21] :
          ( ( leq(X21,n2)
            & leq(n0,X21) )
         => ! [X27] :
              ( ( leq(X27,n3)
                & leq(n0,X27) )
             => init = a_select3(simplex7_init,X27,X21) ) )
      & leq(pv1376,n3)
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv1376)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7)
      & init = s_worst7_init
      & init = s_sworst7_init
      & init = s_best7_init
      & init = init ) ),
    file('/export/starexec/sandbox/tmp/tmp.LeOT3E5uFq/Vampire---4.8_8619',gauss_init_0025) ).

fof(f170,plain,
    ! [X1] :
      ( init = a_select2(s_try7_init,X1)
      | ~ leq(X1,minus(n3,n1))
      | ~ leq(n0,X1) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f377,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | spl9_17 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl9_17
  <=> sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).

fof(f564,plain,
    ( ~ spl9_5
    | spl9_6 ),
    inference(avatar_contradiction_clause,[],[f563]) ).

fof(f563,plain,
    ( $false
    | ~ spl9_5
    | spl9_6 ),
    inference(subsumption_resolution,[],[f562,f547]) ).

fof(f547,plain,
    ( leq(n0,sK5)
    | ~ spl9_5 ),
    inference(resolution,[],[f326,f148]) ).

fof(f148,plain,
    ( ~ sP0
    | leq(n0,sK5) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( init != a_select3(simplex7_init,sK6,sK5)
      & leq(sK6,n3)
      & leq(n0,sK6)
      & leq(sK5,n2)
      & leq(n0,sK5) )
    | ~ sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f132,f134,f133]) ).

fof(f133,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(X1,n3)
            & leq(n0,X1) )
        & leq(X0,n2)
        & leq(n0,X0) )
   => ( ? [X1] :
          ( init != a_select3(simplex7_init,X1,sK5)
          & leq(X1,n3)
          & leq(n0,X1) )
      & leq(sK5,n2)
      & leq(n0,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ( ? [X1] :
        ( init != a_select3(simplex7_init,X1,sK5)
        & leq(X1,n3)
        & leq(n0,X1) )
   => ( init != a_select3(simplex7_init,sK6,sK5)
      & leq(sK6,n3)
      & leq(n0,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(X1,n3)
            & leq(n0,X1) )
        & leq(X0,n2)
        & leq(n0,X0) )
    | ~ sP0 ),
    inference(rectify,[],[f131]) ).

fof(f131,plain,
    ( ? [X8] :
        ( ? [X9] :
            ( init != a_select3(simplex7_init,X9,X8)
            & leq(X9,n3)
            & leq(n0,X9) )
        & leq(X8,n2)
        & leq(n0,X8) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f119]) ).

fof(f326,plain,
    ( sP0
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl9_5
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f562,plain,
    ( ~ leq(n0,sK5)
    | ~ spl9_5
    | spl9_6 ),
    inference(subsumption_resolution,[],[f561,f548]) ).

fof(f548,plain,
    ( leq(sK5,n2)
    | ~ spl9_5 ),
    inference(resolution,[],[f326,f149]) ).

fof(f149,plain,
    ( ~ sP0
    | leq(sK5,n2) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f561,plain,
    ( ~ leq(sK5,n2)
    | ~ leq(n0,sK5)
    | ~ spl9_5
    | spl9_6 ),
    inference(subsumption_resolution,[],[f560,f549]) ).

fof(f549,plain,
    ( leq(n0,sK6)
    | ~ spl9_5 ),
    inference(resolution,[],[f326,f150]) ).

fof(f150,plain,
    ( ~ sP0
    | leq(n0,sK6) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f560,plain,
    ( ~ leq(n0,sK6)
    | ~ leq(sK5,n2)
    | ~ leq(n0,sK5)
    | ~ spl9_5
    | spl9_6 ),
    inference(subsumption_resolution,[],[f559,f550]) ).

fof(f550,plain,
    ( leq(sK6,n3)
    | ~ spl9_5 ),
    inference(resolution,[],[f326,f151]) ).

fof(f151,plain,
    ( ~ sP0
    | leq(sK6,n3) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f559,plain,
    ( ~ leq(sK6,n3)
    | ~ leq(n0,sK6)
    | ~ leq(sK5,n2)
    | ~ leq(n0,sK5)
    | spl9_6 ),
    inference(resolution,[],[f279,f331]) ).

fof(f331,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select3(simplex7_init,sK6,sK5))
    | spl9_6 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl9_6
  <=> sQ8_eqProxy(s_worst7_init,a_select3(simplex7_init,sK6,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).

fof(f279,plain,
    ! [X4,X5] :
      ( sQ8_eqProxy(s_worst7_init,a_select3(simplex7_init,X5,X4))
      | ~ leq(X5,n3)
      | ~ leq(n0,X5)
      | ~ leq(X4,n2)
      | ~ leq(n0,X4) ),
    inference(equality_proxy_replacement,[],[f255,f263]) ).

fof(f255,plain,
    ! [X4,X5] :
      ( s_worst7_init = a_select3(simplex7_init,X5,X4)
      | ~ leq(X5,n3)
      | ~ leq(n0,X5)
      | ~ leq(X4,n2)
      | ~ leq(n0,X4) ),
    inference(definition_unfolding,[],[f167,f156]) ).

fof(f167,plain,
    ! [X4,X5] :
      ( init = a_select3(simplex7_init,X5,X4)
      | ~ leq(X5,n3)
      | ~ leq(n0,X5)
      | ~ leq(X4,n2)
      | ~ leq(n0,X4) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f514,plain,
    ( spl9_31
    | ~ spl9_1 ),
    inference(avatar_split_clause,[],[f511,f307,f471]) ).

fof(f471,plain,
    ( spl9_31
  <=> leq(sK3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_31])]) ).

fof(f307,plain,
    ( spl9_1
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f511,plain,
    ( leq(sK3,n2)
    | ~ spl9_1 ),
    inference(resolution,[],[f308,f143]) ).

fof(f143,plain,
    ( ~ sP2
    | leq(sK3,n2) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ( init != a_select2(s_center7_init,sK3)
      & leq(sK3,n2)
      & leq(n0,sK3) )
    | ~ sP2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f124,f125]) ).

fof(f125,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(X0,n2)
        & leq(n0,X0) )
   => ( init != a_select2(s_center7_init,sK3)
      & leq(sK3,n2)
      & leq(n0,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(X0,n2)
        & leq(n0,X0) )
    | ~ sP2 ),
    inference(rectify,[],[f123]) ).

fof(f123,plain,
    ( ? [X6] :
        ( init != a_select2(s_center7_init,X6)
        & leq(X6,n2)
        & leq(n0,X6) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f121]) ).

fof(f308,plain,
    ( sP2
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f513,plain,
    ( ~ spl9_1
    | spl9_30 ),
    inference(avatar_contradiction_clause,[],[f512]) ).

fof(f512,plain,
    ( $false
    | ~ spl9_1
    | spl9_30 ),
    inference(subsumption_resolution,[],[f510,f469]) ).

fof(f469,plain,
    ( ~ leq(n0,sK3)
    | spl9_30 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f467,plain,
    ( spl9_30
  <=> leq(n0,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_30])]) ).

fof(f510,plain,
    ( leq(n0,sK3)
    | ~ spl9_1 ),
    inference(resolution,[],[f308,f142]) ).

fof(f142,plain,
    ( ~ sP2
    | leq(n0,sK3) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f479,plain,
    ( ~ spl9_3
    | spl9_4 ),
    inference(avatar_contradiction_clause,[],[f478]) ).

fof(f478,plain,
    ( $false
    | ~ spl9_3
    | spl9_4 ),
    inference(subsumption_resolution,[],[f477,f426]) ).

fof(f426,plain,
    ( leq(n0,sK4)
    | ~ spl9_3 ),
    inference(resolution,[],[f317,f145]) ).

fof(f145,plain,
    ( ~ sP1
    | leq(n0,sK4) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ( init != a_select2(s_values7_init,sK4)
      & leq(sK4,n3)
      & leq(n0,sK4) )
    | ~ sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f128,f129]) ).

fof(f129,plain,
    ( ? [X0] :
        ( init != a_select2(s_values7_init,X0)
        & leq(X0,n3)
        & leq(n0,X0) )
   => ( init != a_select2(s_values7_init,sK4)
      & leq(sK4,n3)
      & leq(n0,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X0] :
        ( init != a_select2(s_values7_init,X0)
        & leq(X0,n3)
        & leq(n0,X0) )
    | ~ sP1 ),
    inference(rectify,[],[f127]) ).

fof(f127,plain,
    ( ? [X7] :
        ( init != a_select2(s_values7_init,X7)
        & leq(X7,n3)
        & leq(n0,X7) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f120]) ).

fof(f317,plain,
    ( sP1
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f316,plain,
    ( spl9_3
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f477,plain,
    ( ~ leq(n0,sK4)
    | ~ spl9_3
    | spl9_4 ),
    inference(subsumption_resolution,[],[f476,f427]) ).

fof(f427,plain,
    ( leq(sK4,n3)
    | ~ spl9_3 ),
    inference(resolution,[],[f317,f146]) ).

fof(f146,plain,
    ( ~ sP1
    | leq(sK4,n3) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f476,plain,
    ( ~ leq(sK4,n3)
    | ~ leq(n0,sK4)
    | spl9_4 ),
    inference(resolution,[],[f278,f322]) ).

fof(f322,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_values7_init,sK4))
    | spl9_4 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl9_4
  <=> sQ8_eqProxy(s_worst7_init,a_select2(s_values7_init,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f278,plain,
    ! [X3] :
      ( sQ8_eqProxy(s_worst7_init,a_select2(s_values7_init,X3))
      | ~ leq(X3,n3)
      | ~ leq(n0,X3) ),
    inference(equality_proxy_replacement,[],[f254,f263]) ).

fof(f254,plain,
    ! [X3] :
      ( s_worst7_init = a_select2(s_values7_init,X3)
      | ~ leq(X3,n3)
      | ~ leq(n0,X3) ),
    inference(definition_unfolding,[],[f168,f156]) ).

fof(f168,plain,
    ! [X3] :
      ( init = a_select2(s_values7_init,X3)
      | ~ leq(X3,n3)
      | ~ leq(n0,X3) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f474,plain,
    ( ~ spl9_30
    | ~ spl9_31
    | spl9_2 ),
    inference(avatar_split_clause,[],[f465,f311,f471,f467]) ).

fof(f311,plain,
    ( spl9_2
  <=> sQ8_eqProxy(s_worst7_init,a_select2(s_center7_init,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f465,plain,
    ( ~ leq(sK3,n2)
    | ~ leq(n0,sK3)
    | spl9_2 ),
    inference(resolution,[],[f277,f313]) ).

fof(f313,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_center7_init,sK3))
    | spl9_2 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f277,plain,
    ! [X2] :
      ( sQ8_eqProxy(s_worst7_init,a_select2(s_center7_init,X2))
      | ~ leq(X2,n2)
      | ~ leq(n0,X2) ),
    inference(equality_proxy_replacement,[],[f253,f263]) ).

fof(f253,plain,
    ! [X2] :
      ( s_worst7_init = a_select2(s_center7_init,X2)
      | ~ leq(X2,n2)
      | ~ leq(n0,X2) ),
    inference(definition_unfolding,[],[f169,f156]) ).

fof(f169,plain,
    ! [X2] :
      ( init = a_select2(s_center7_init,X2)
      | ~ leq(X2,n2)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f425,plain,
    spl9_7,
    inference(avatar_split_clause,[],[f281,f335]) ).

fof(f335,plain,
    ( spl9_7
  <=> sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).

fof(f281,plain,
    sQ8_eqProxy(s_best7_init,s_worst7_init),
    inference(equality_proxy_replacement,[],[f257,f263]) ).

fof(f257,plain,
    s_best7_init = s_worst7_init,
    inference(definition_unfolding,[],[f154,f156]) ).

fof(f154,plain,
    init = s_best7_init,
    inference(cnf_transformation,[],[f138]) ).

fof(f424,plain,
    spl9_8,
    inference(avatar_split_clause,[],[f280,f339]) ).

fof(f339,plain,
    ( spl9_8
  <=> sQ8_eqProxy(s_sworst7_init,s_worst7_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).

fof(f280,plain,
    sQ8_eqProxy(s_sworst7_init,s_worst7_init),
    inference(equality_proxy_replacement,[],[f256,f263]) ).

fof(f256,plain,
    s_sworst7_init = s_worst7_init,
    inference(definition_unfolding,[],[f155,f156]) ).

fof(f155,plain,
    init = s_sworst7_init,
    inference(cnf_transformation,[],[f138]) ).

fof(f423,plain,
    spl9_9,
    inference(avatar_split_clause,[],[f157,f343]) ).

fof(f343,plain,
    ( spl9_9
  <=> leq(n0,s_best7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).

fof(f157,plain,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f138]) ).

fof(f422,plain,
    spl9_10,
    inference(avatar_split_clause,[],[f158,f347]) ).

fof(f347,plain,
    ( spl9_10
  <=> leq(n0,s_sworst7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).

fof(f158,plain,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f138]) ).

fof(f421,plain,
    spl9_11,
    inference(avatar_split_clause,[],[f159,f351]) ).

fof(f351,plain,
    ( spl9_11
  <=> leq(n0,s_worst7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).

fof(f159,plain,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f138]) ).

fof(f420,plain,
    spl9_12,
    inference(avatar_split_clause,[],[f161,f355]) ).

fof(f355,plain,
    ( spl9_12
  <=> leq(n0,pv1376) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).

fof(f161,plain,
    leq(n0,pv1376),
    inference(cnf_transformation,[],[f138]) ).

fof(f419,plain,
    spl9_13,
    inference(avatar_split_clause,[],[f162,f359]) ).

fof(f359,plain,
    ( spl9_13
  <=> leq(s_best7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).

fof(f162,plain,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f138]) ).

fof(f418,plain,
    spl9_14,
    inference(avatar_split_clause,[],[f163,f363]) ).

fof(f363,plain,
    ( spl9_14
  <=> leq(s_sworst7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).

fof(f163,plain,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f138]) ).

fof(f417,plain,
    spl9_15,
    inference(avatar_split_clause,[],[f164,f367]) ).

fof(f367,plain,
    ( spl9_15
  <=> leq(s_worst7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).

fof(f164,plain,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f138]) ).

fof(f416,plain,
    spl9_16,
    inference(avatar_split_clause,[],[f166,f371]) ).

fof(f371,plain,
    ( spl9_16
  <=> leq(pv1376,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).

fof(f166,plain,
    leq(pv1376,n3),
    inference(cnf_transformation,[],[f138]) ).

fof(f415,plain,
    ( ~ spl9_23
    | spl9_18 ),
    inference(avatar_split_clause,[],[f275,f379,f405]) ).

fof(f405,plain,
    ( spl9_23
  <=> gt(loopcounter,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_23])]) ).

fof(f379,plain,
    ( spl9_18
  <=> sQ8_eqProxy(s_worst7_init,pvar1400_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_18])]) ).

fof(f275,plain,
    ( sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | ~ gt(loopcounter,n1) ),
    inference(equality_proxy_replacement,[],[f251,f263]) ).

fof(f251,plain,
    ( s_worst7_init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f171,f156]) ).

fof(f171,plain,
    ( init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f414,plain,
    ( ~ spl9_23
    | spl9_19 ),
    inference(avatar_split_clause,[],[f274,f383,f405]) ).

fof(f383,plain,
    ( spl9_19
  <=> sQ8_eqProxy(s_worst7_init,pvar1401_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_19])]) ).

fof(f274,plain,
    ( sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ gt(loopcounter,n1) ),
    inference(equality_proxy_replacement,[],[f250,f263]) ).

fof(f250,plain,
    ( s_worst7_init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f172,f156]) ).

fof(f172,plain,
    ( init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f413,plain,
    ( ~ spl9_23
    | spl9_20 ),
    inference(avatar_split_clause,[],[f273,f387,f405]) ).

fof(f387,plain,
    ( spl9_20
  <=> sQ8_eqProxy(s_worst7_init,pvar1402_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_20])]) ).

fof(f273,plain,
    ( sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ gt(loopcounter,n1) ),
    inference(equality_proxy_replacement,[],[f249,f263]) ).

fof(f249,plain,
    ( s_worst7_init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f173,f156]) ).

fof(f173,plain,
    ( init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f412,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | spl9_5
    | spl9_3
    | spl9_1
    | spl9_22
    | spl9_23 ),
    inference(avatar_split_clause,[],[f411,f405,f399,f307,f316,f325,f371,f367,f363,f359,f355,f351,f347,f343,f339,f335]) ).

fof(f411,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(subsumption_resolution,[],[f300,f299]) ).

fof(f299,plain,
    ! [X0] : sQ8_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f263]) ).

fof(f300,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(duplicate_literal_removal,[],[f272]) ).

fof(f272,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init) ),
    inference(equality_proxy_replacement,[],[f248,f263,f263,f263,f263]) ).

fof(f248,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | s_worst7_init != s_worst7_init
    | s_sworst7_init != s_worst7_init
    | s_best7_init != s_worst7_init
    | s_worst7_init != s_worst7_init ),
    inference(definition_unfolding,[],[f174,f156,f156,f156,f156,f156]) ).

fof(f174,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | init != s_worst7_init
    | init != s_sworst7_init
    | init != s_best7_init
    | init != init ),
    inference(cnf_transformation,[],[f138]) ).

fof(f410,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | spl9_5
    | spl9_3
    | spl9_1
    | spl9_21
    | spl9_23 ),
    inference(avatar_split_clause,[],[f409,f405,f393,f307,f316,f325,f371,f367,f363,f359,f355,f351,f347,f343,f339,f335]) ).

fof(f409,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(subsumption_resolution,[],[f301,f299]) ).

fof(f301,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f271,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init) ),
    inference(equality_proxy_replacement,[],[f247,f263,f263,f263,f263]) ).

fof(f247,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | s_worst7_init != s_worst7_init
    | s_sworst7_init != s_worst7_init
    | s_best7_init != s_worst7_init
    | s_worst7_init != s_worst7_init ),
    inference(definition_unfolding,[],[f175,f156,f156,f156,f156,f156]) ).

fof(f175,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | init != s_worst7_init
    | init != s_sworst7_init
    | init != s_best7_init
    | init != init ),
    inference(cnf_transformation,[],[f138]) ).

fof(f408,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | spl9_5
    | spl9_3
    | spl9_1
    | ~ spl9_17
    | spl9_23 ),
    inference(avatar_split_clause,[],[f403,f405,f375,f307,f316,f325,f371,f367,f363,f359,f355,f351,f347,f343,f339,f335]) ).

fof(f403,plain,
    ( gt(loopcounter,n1)
    | ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(subsumption_resolution,[],[f302,f299]) ).

fof(f302,plain,
    ( gt(loopcounter,n1)
    | ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(duplicate_literal_removal,[],[f270]) ).

fof(f270,plain,
    ( gt(loopcounter,n1)
    | ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init) ),
    inference(equality_proxy_replacement,[],[f246,f263,f263,f263,f263,f263]) ).

fof(f246,plain,
    ( gt(loopcounter,n1)
    | s_worst7_init != a_select2(s_try7_init,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | s_worst7_init != s_worst7_init
    | s_sworst7_init != s_worst7_init
    | s_best7_init != s_worst7_init
    | s_worst7_init != s_worst7_init ),
    inference(definition_unfolding,[],[f176,f156,f156,f156,f156,f156,f156]) ).

fof(f176,plain,
    ( gt(loopcounter,n1)
    | init != a_select2(s_try7_init,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | init != s_worst7_init
    | init != s_sworst7_init
    | init != s_best7_init
    | init != init ),
    inference(cnf_transformation,[],[f138]) ).

fof(f402,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | spl9_5
    | spl9_3
    | spl9_1
    | spl9_22
    | ~ spl9_18
    | ~ spl9_19
    | ~ spl9_20 ),
    inference(avatar_split_clause,[],[f397,f387,f383,f379,f399,f307,f316,f325,f371,f367,f363,f359,f355,f351,f347,f343,f339,f335]) ).

fof(f397,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(subsumption_resolution,[],[f303,f299]) ).

fof(f303,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f269,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init) ),
    inference(equality_proxy_replacement,[],[f245,f263,f263,f263,f263,f263,f263,f263]) ).

fof(f245,plain,
    ( s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | s_worst7_init != s_worst7_init
    | s_sworst7_init != s_worst7_init
    | s_best7_init != s_worst7_init
    | s_worst7_init != s_worst7_init ),
    inference(definition_unfolding,[],[f177,f156,f156,f156,f156,f156,f156,f156,f156]) ).

fof(f177,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | init != s_worst7_init
    | init != s_sworst7_init
    | init != s_best7_init
    | init != init ),
    inference(cnf_transformation,[],[f138]) ).

fof(f396,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | spl9_5
    | spl9_3
    | spl9_1
    | spl9_21
    | ~ spl9_18
    | ~ spl9_19
    | ~ spl9_20 ),
    inference(avatar_split_clause,[],[f391,f387,f383,f379,f393,f307,f316,f325,f371,f367,f363,f359,f355,f351,f347,f343,f339,f335]) ).

fof(f391,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(subsumption_resolution,[],[f304,f299]) ).

fof(f304,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(duplicate_literal_removal,[],[f268]) ).

fof(f268,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init) ),
    inference(equality_proxy_replacement,[],[f244,f263,f263,f263,f263,f263,f263,f263]) ).

fof(f244,plain,
    ( s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | s_worst7_init != s_worst7_init
    | s_sworst7_init != s_worst7_init
    | s_best7_init != s_worst7_init
    | s_worst7_init != s_worst7_init ),
    inference(definition_unfolding,[],[f178,f156,f156,f156,f156,f156,f156,f156,f156]) ).

fof(f178,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | init != s_worst7_init
    | init != s_sworst7_init
    | init != s_best7_init
    | init != init ),
    inference(cnf_transformation,[],[f138]) ).

fof(f390,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | spl9_5
    | spl9_3
    | spl9_1
    | ~ spl9_17
    | ~ spl9_18
    | ~ spl9_19
    | ~ spl9_20 ),
    inference(avatar_split_clause,[],[f333,f387,f383,f379,f375,f307,f316,f325,f371,f367,f363,f359,f355,f351,f347,f343,f339,f335]) ).

fof(f333,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(subsumption_resolution,[],[f305,f299]) ).

fof(f305,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    inference(duplicate_literal_removal,[],[f267]) ).

fof(f267,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_sworst7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_best7_init,s_worst7_init)
    | ~ sQ8_eqProxy(s_worst7_init,s_worst7_init) ),
    inference(equality_proxy_replacement,[],[f243,f263,f263,f263,f263,f263,f263,f263,f263]) ).

fof(f243,plain,
    ( s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | s_worst7_init != a_select2(s_try7_init,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | s_worst7_init != s_worst7_init
    | s_sworst7_init != s_worst7_init
    | s_best7_init != s_worst7_init
    | s_worst7_init != s_worst7_init ),
    inference(definition_unfolding,[],[f179,f156,f156,f156,f156,f156,f156,f156,f156,f156]) ).

fof(f179,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | init != a_select2(s_try7_init,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | init != s_worst7_init
    | init != s_sworst7_init
    | init != s_best7_init
    | init != init ),
    inference(cnf_transformation,[],[f138]) ).

fof(f332,plain,
    ( ~ spl9_5
    | ~ spl9_6 ),
    inference(avatar_split_clause,[],[f266,f329,f325]) ).

fof(f266,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select3(simplex7_init,sK6,sK5))
    | ~ sP0 ),
    inference(equality_proxy_replacement,[],[f242,f263]) ).

fof(f242,plain,
    ( s_worst7_init != a_select3(simplex7_init,sK6,sK5)
    | ~ sP0 ),
    inference(definition_unfolding,[],[f152,f156]) ).

fof(f152,plain,
    ( init != a_select3(simplex7_init,sK6,sK5)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f323,plain,
    ( ~ spl9_3
    | ~ spl9_4 ),
    inference(avatar_split_clause,[],[f265,f320,f316]) ).

fof(f265,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_values7_init,sK4))
    | ~ sP1 ),
    inference(equality_proxy_replacement,[],[f241,f263]) ).

fof(f241,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK4)
    | ~ sP1 ),
    inference(definition_unfolding,[],[f147,f156]) ).

fof(f147,plain,
    ( init != a_select2(s_values7_init,sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f314,plain,
    ( ~ spl9_1
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f264,f311,f307]) ).

fof(f264,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_center7_init,sK3))
    | ~ sP2 ),
    inference(equality_proxy_replacement,[],[f240,f263]) ).

fof(f240,plain,
    ( s_worst7_init != a_select2(s_center7_init,sK3)
    | ~ sP2 ),
    inference(definition_unfolding,[],[f144,f156]) ).

fof(f144,plain,
    ( init != a_select2(s_center7_init,sK3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV028+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:34:27 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.LeOT3E5uFq/Vampire---4.8_8619
% 0.58/0.74  % (8875)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.74  % (8874)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.74  % (8868)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.74  % (8870)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74  % (8871)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.74  % (8869)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.74  % (8872)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.74  % (8873)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (8875)First to succeed.
% 0.58/0.75  % (8868)Also succeeded, but the first one will report.
% 0.58/0.75  % (8875)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (8875)------------------------------
% 0.58/0.75  % (8875)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (8875)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (8875)Memory used [KB]: 1266
% 0.58/0.75  % (8875)Time elapsed: 0.007 s
% 0.58/0.75  % (8875)Instructions burned: 19 (million)
% 0.58/0.75  % (8875)------------------------------
% 0.58/0.75  % (8875)------------------------------
% 0.58/0.75  % (8864)Success in time 0.377 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------