TSTP Solution File: SWV025+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV025+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.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 0.63s 0.82s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  199 (  31 unt;   0 def)
%            Number of atoms       : 1566 ( 285 equ)
%            Maximal formula atoms :   66 (   7 avg)
%            Number of connectives : 2219 ( 852   ~; 937   |; 358   &)
%                                         (  28 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   35 (  33 usr;  31 prp; 0-2 aty)
%            Number of functors    :   32 (  32 usr;  29 con; 0-3 aty)
%            Number of variables   :  104 (  73   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f610,plain,
    $false,
    inference(avatar_sat_refutation,[],[f332,f341,f350,f416,f422,f428,f434,f436,f438,f439,f440,f441,f442,f443,f444,f445,f446,f447,f448,f449,f450,f451,f452,f453,f502,f507,f573,f574,f586,f609]) ).

fof(f609,plain,
    ( ~ spl9_5
    | spl9_6 ),
    inference(avatar_contradiction_clause,[],[f608]) ).

fof(f608,plain,
    ( $false
    | ~ spl9_5
    | spl9_6 ),
    inference(subsumption_resolution,[],[f607,f587]) ).

fof(f587,plain,
    ( leq(n0,sK5)
    | ~ spl9_5 ),
    inference(resolution,[],[f344,f156]) ).

fof(f156,plain,
    ( ~ sP0
    | leq(n0,sK5) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,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])],[f140,f142,f141]) ).

fof(f141,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(f142,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(f140,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,[],[f139]) ).

fof(f139,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,[],[f127]) ).

fof(f127,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(f344,plain,
    ( sP0
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f343,plain,
    ( spl9_5
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f607,plain,
    ( ~ leq(n0,sK5)
    | ~ spl9_5
    | spl9_6 ),
    inference(subsumption_resolution,[],[f606,f588]) ).

fof(f588,plain,
    ( leq(sK5,n2)
    | ~ spl9_5 ),
    inference(resolution,[],[f344,f157]) ).

fof(f157,plain,
    ( ~ sP0
    | leq(sK5,n2) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f606,plain,
    ( ~ leq(sK5,n2)
    | ~ leq(n0,sK5)
    | ~ spl9_5
    | spl9_6 ),
    inference(subsumption_resolution,[],[f605,f589]) ).

fof(f589,plain,
    ( leq(n0,sK6)
    | ~ spl9_5 ),
    inference(resolution,[],[f344,f158]) ).

fof(f158,plain,
    ( ~ sP0
    | leq(n0,sK6) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f605,plain,
    ( ~ leq(n0,sK6)
    | ~ leq(sK5,n2)
    | ~ leq(n0,sK5)
    | ~ spl9_5
    | spl9_6 ),
    inference(subsumption_resolution,[],[f604,f590]) ).

fof(f590,plain,
    ( leq(sK6,n3)
    | ~ spl9_5 ),
    inference(resolution,[],[f344,f159]) ).

fof(f159,plain,
    ( ~ sP0
    | leq(sK6,n3) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f604,plain,
    ( ~ leq(sK6,n3)
    | ~ leq(n0,sK6)
    | ~ leq(sK5,n2)
    | ~ leq(n0,sK5)
    | spl9_6 ),
    inference(resolution,[],[f297,f349]) ).

fof(f349,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select3(simplex7_init,sK6,sK5))
    | spl9_6 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f347,plain,
    ( spl9_6
  <=> sQ8_eqProxy(s_worst7_init,a_select3(simplex7_init,sK6,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).

fof(f297,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,[],[f273,f281]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( sQ8_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ8_eqProxy])]) ).

fof(f273,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,[],[f177,f164]) ).

fof(f164,plain,
    init = s_worst7_init,
    inference(cnf_transformation,[],[f146]) ).

fof(f146,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(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ 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 )
    & ( ( 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(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv7)
    & 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])],[f144,f145]) ).

fof(f145,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(f144,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(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ 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 )
    & ( ( 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(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv7)
    & 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,[],[f130]) ).

fof(f130,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(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ 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 )
    & ( ( 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(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv7)
    & 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,[],[f104,f129,f128,f127]) ).

fof(f128,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(f129,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(f104,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(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ 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 )
    & ( ( 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(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv7)
    & 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,[],[f103]) ).

fof(f103,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(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ 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 )
    & ( ( 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(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv7)
    & 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,[],[f102]) ).

fof(f102,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(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv7,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,pv7)
        & 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(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv20)
        & 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,[],[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(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv7,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,pv7)
        & 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(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv20)
        & 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(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(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv7,minus(n410,n1))
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,pv7)
      & 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(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv20)
      & 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 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.qABcGEjAmJ/Vampire---4.8_19364',gauss_init_0013) ).

fof(f177,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,[],[f146]) ).

fof(f586,plain,
    ( ~ spl9_23
    | spl9_19
    | ~ spl9_24 ),
    inference(avatar_split_clause,[],[f585,f425,f401,f419]) ).

fof(f419,plain,
    ( spl9_23
  <=> leq(sK7,minus(n3,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_23])]) ).

fof(f401,plain,
    ( spl9_19
  <=> sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_19])]) ).

fof(f425,plain,
    ( spl9_24
  <=> leq(n0,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_24])]) ).

fof(f585,plain,
    ( ~ leq(sK7,minus(n3,n1))
    | spl9_19
    | ~ spl9_24 ),
    inference(subsumption_resolution,[],[f581,f427]) ).

fof(f427,plain,
    ( leq(n0,sK7)
    | ~ spl9_24 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f581,plain,
    ( ~ leq(sK7,minus(n3,n1))
    | ~ leq(n0,sK7)
    | spl9_19 ),
    inference(resolution,[],[f294,f403]) ).

fof(f403,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | spl9_19 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f294,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,[],[f270,f281]) ).

fof(f270,plain,
    ! [X1] :
      ( s_worst7_init = a_select2(s_try7_init,X1)
      | ~ leq(X1,minus(n3,n1))
      | ~ leq(n0,X1) ),
    inference(definition_unfolding,[],[f180,f164]) ).

fof(f180,plain,
    ! [X1] :
      ( init = a_select2(s_try7_init,X1)
      | ~ leq(X1,minus(n3,n1))
      | ~ leq(n0,X1) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f574,plain,
    ( spl9_33
    | ~ spl9_1 ),
    inference(avatar_split_clause,[],[f571,f325,f499]) ).

fof(f499,plain,
    ( spl9_33
  <=> leq(sK3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_33])]) ).

fof(f325,plain,
    ( spl9_1
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f571,plain,
    ( leq(sK3,n2)
    | ~ spl9_1 ),
    inference(resolution,[],[f326,f151]) ).

fof(f151,plain,
    ( ~ sP2
    | leq(sK3,n2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ( init != a_select2(s_center7_init,sK3)
      & leq(sK3,n2)
      & leq(n0,sK3) )
    | ~ sP2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f132,f133]) ).

fof(f133,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(f132,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(X0,n2)
        & leq(n0,X0) )
    | ~ sP2 ),
    inference(rectify,[],[f131]) ).

fof(f131,plain,
    ( ? [X6] :
        ( init != a_select2(s_center7_init,X6)
        & leq(X6,n2)
        & leq(n0,X6) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f129]) ).

fof(f326,plain,
    ( sP2
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f573,plain,
    ( ~ spl9_1
    | spl9_32 ),
    inference(avatar_contradiction_clause,[],[f572]) ).

fof(f572,plain,
    ( $false
    | ~ spl9_1
    | spl9_32 ),
    inference(subsumption_resolution,[],[f570,f497]) ).

fof(f497,plain,
    ( ~ leq(n0,sK3)
    | spl9_32 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f495,plain,
    ( spl9_32
  <=> leq(n0,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_32])]) ).

fof(f570,plain,
    ( leq(n0,sK3)
    | ~ spl9_1 ),
    inference(resolution,[],[f326,f150]) ).

fof(f150,plain,
    ( ~ sP2
    | leq(n0,sK3) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f507,plain,
    ( ~ spl9_3
    | spl9_4 ),
    inference(avatar_contradiction_clause,[],[f506]) ).

fof(f506,plain,
    ( $false
    | ~ spl9_3
    | spl9_4 ),
    inference(subsumption_resolution,[],[f505,f454]) ).

fof(f454,plain,
    ( leq(n0,sK4)
    | ~ spl9_3 ),
    inference(resolution,[],[f335,f153]) ).

fof(f153,plain,
    ( ~ sP1
    | leq(n0,sK4) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ( init != a_select2(s_values7_init,sK4)
      & leq(sK4,n3)
      & leq(n0,sK4) )
    | ~ sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f136,f137]) ).

fof(f137,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(f136,plain,
    ( ? [X0] :
        ( init != a_select2(s_values7_init,X0)
        & leq(X0,n3)
        & leq(n0,X0) )
    | ~ sP1 ),
    inference(rectify,[],[f135]) ).

fof(f135,plain,
    ( ? [X7] :
        ( init != a_select2(s_values7_init,X7)
        & leq(X7,n3)
        & leq(n0,X7) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f128]) ).

fof(f335,plain,
    ( sP1
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f334,plain,
    ( spl9_3
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f505,plain,
    ( ~ leq(n0,sK4)
    | ~ spl9_3
    | spl9_4 ),
    inference(subsumption_resolution,[],[f504,f455]) ).

fof(f455,plain,
    ( leq(sK4,n3)
    | ~ spl9_3 ),
    inference(resolution,[],[f335,f154]) ).

fof(f154,plain,
    ( ~ sP1
    | leq(sK4,n3) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f504,plain,
    ( ~ leq(sK4,n3)
    | ~ leq(n0,sK4)
    | spl9_4 ),
    inference(resolution,[],[f296,f340]) ).

fof(f340,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_values7_init,sK4))
    | spl9_4 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f338,plain,
    ( spl9_4
  <=> sQ8_eqProxy(s_worst7_init,a_select2(s_values7_init,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f296,plain,
    ! [X3] :
      ( sQ8_eqProxy(s_worst7_init,a_select2(s_values7_init,X3))
      | ~ leq(X3,n3)
      | ~ leq(n0,X3) ),
    inference(equality_proxy_replacement,[],[f272,f281]) ).

fof(f272,plain,
    ! [X3] :
      ( s_worst7_init = a_select2(s_values7_init,X3)
      | ~ leq(X3,n3)
      | ~ leq(n0,X3) ),
    inference(definition_unfolding,[],[f178,f164]) ).

fof(f178,plain,
    ! [X3] :
      ( init = a_select2(s_values7_init,X3)
      | ~ leq(X3,n3)
      | ~ leq(n0,X3) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f502,plain,
    ( ~ spl9_32
    | ~ spl9_33
    | spl9_2 ),
    inference(avatar_split_clause,[],[f493,f329,f499,f495]) ).

fof(f329,plain,
    ( spl9_2
  <=> sQ8_eqProxy(s_worst7_init,a_select2(s_center7_init,sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f493,plain,
    ( ~ leq(sK3,n2)
    | ~ leq(n0,sK3)
    | spl9_2 ),
    inference(resolution,[],[f295,f331]) ).

fof(f331,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_center7_init,sK3))
    | spl9_2 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f295,plain,
    ! [X2] :
      ( sQ8_eqProxy(s_worst7_init,a_select2(s_center7_init,X2))
      | ~ leq(X2,n2)
      | ~ leq(n0,X2) ),
    inference(equality_proxy_replacement,[],[f271,f281]) ).

fof(f271,plain,
    ! [X2] :
      ( s_worst7_init = a_select2(s_center7_init,X2)
      | ~ leq(X2,n2)
      | ~ leq(n0,X2) ),
    inference(definition_unfolding,[],[f179,f164]) ).

fof(f179,plain,
    ! [X2] :
      ( init = a_select2(s_center7_init,X2)
      | ~ leq(X2,n2)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f453,plain,
    spl9_7,
    inference(avatar_split_clause,[],[f299,f353]) ).

fof(f353,plain,
    ( spl9_7
  <=> sQ8_eqProxy(s_best7_init,s_worst7_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).

fof(f299,plain,
    sQ8_eqProxy(s_best7_init,s_worst7_init),
    inference(equality_proxy_replacement,[],[f275,f281]) ).

fof(f275,plain,
    s_best7_init = s_worst7_init,
    inference(definition_unfolding,[],[f162,f164]) ).

fof(f162,plain,
    init = s_best7_init,
    inference(cnf_transformation,[],[f146]) ).

fof(f452,plain,
    spl9_8,
    inference(avatar_split_clause,[],[f298,f357]) ).

fof(f357,plain,
    ( spl9_8
  <=> sQ8_eqProxy(s_sworst7_init,s_worst7_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).

fof(f298,plain,
    sQ8_eqProxy(s_sworst7_init,s_worst7_init),
    inference(equality_proxy_replacement,[],[f274,f281]) ).

fof(f274,plain,
    s_sworst7_init = s_worst7_init,
    inference(definition_unfolding,[],[f163,f164]) ).

fof(f163,plain,
    init = s_sworst7_init,
    inference(cnf_transformation,[],[f146]) ).

fof(f451,plain,
    spl9_9,
    inference(avatar_split_clause,[],[f165,f361]) ).

fof(f361,plain,
    ( spl9_9
  <=> leq(n0,s_best7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).

fof(f165,plain,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f146]) ).

fof(f450,plain,
    spl9_10,
    inference(avatar_split_clause,[],[f166,f365]) ).

fof(f365,plain,
    ( spl9_10
  <=> leq(n0,s_sworst7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).

fof(f166,plain,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f146]) ).

fof(f449,plain,
    spl9_11,
    inference(avatar_split_clause,[],[f167,f369]) ).

fof(f369,plain,
    ( spl9_11
  <=> leq(n0,s_worst7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).

fof(f167,plain,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f146]) ).

fof(f448,plain,
    spl9_12,
    inference(avatar_split_clause,[],[f169,f373]) ).

fof(f373,plain,
    ( spl9_12
  <=> leq(n0,pv19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).

fof(f169,plain,
    leq(n0,pv19),
    inference(cnf_transformation,[],[f146]) ).

fof(f447,plain,
    spl9_13,
    inference(avatar_split_clause,[],[f170,f377]) ).

fof(f377,plain,
    ( spl9_13
  <=> leq(n0,pv20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).

fof(f170,plain,
    leq(n0,pv20),
    inference(cnf_transformation,[],[f146]) ).

fof(f446,plain,
    spl9_14,
    inference(avatar_split_clause,[],[f171,f381]) ).

fof(f381,plain,
    ( spl9_14
  <=> leq(s_best7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).

fof(f171,plain,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f146]) ).

fof(f445,plain,
    spl9_15,
    inference(avatar_split_clause,[],[f172,f385]) ).

fof(f385,plain,
    ( spl9_15
  <=> leq(s_sworst7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).

fof(f172,plain,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f146]) ).

fof(f444,plain,
    spl9_16,
    inference(avatar_split_clause,[],[f173,f389]) ).

fof(f389,plain,
    ( spl9_16
  <=> leq(s_worst7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).

fof(f173,plain,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f146]) ).

fof(f443,plain,
    spl9_17,
    inference(avatar_split_clause,[],[f175,f393]) ).

fof(f393,plain,
    ( spl9_17
  <=> leq(pv19,minus(n410,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).

fof(f175,plain,
    leq(pv19,minus(n410,n1)),
    inference(cnf_transformation,[],[f146]) ).

fof(f442,plain,
    spl9_18,
    inference(avatar_split_clause,[],[f176,f397]) ).

fof(f397,plain,
    ( spl9_18
  <=> leq(pv20,minus(n330,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_18])]) ).

fof(f176,plain,
    leq(pv20,minus(n330,n1)),
    inference(cnf_transformation,[],[f146]) ).

fof(f441,plain,
    ( ~ spl9_25
    | spl9_20 ),
    inference(avatar_split_clause,[],[f293,f405,f431]) ).

fof(f431,plain,
    ( spl9_25
  <=> gt(loopcounter,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_25])]) ).

fof(f405,plain,
    ( spl9_20
  <=> sQ8_eqProxy(s_worst7_init,pvar1400_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_20])]) ).

fof(f293,plain,
    ( sQ8_eqProxy(s_worst7_init,pvar1400_init)
    | ~ gt(loopcounter,n1) ),
    inference(equality_proxy_replacement,[],[f269,f281]) ).

fof(f269,plain,
    ( s_worst7_init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f181,f164]) ).

fof(f181,plain,
    ( init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f440,plain,
    ( ~ spl9_25
    | spl9_21 ),
    inference(avatar_split_clause,[],[f292,f409,f431]) ).

fof(f409,plain,
    ( spl9_21
  <=> sQ8_eqProxy(s_worst7_init,pvar1401_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).

fof(f292,plain,
    ( sQ8_eqProxy(s_worst7_init,pvar1401_init)
    | ~ gt(loopcounter,n1) ),
    inference(equality_proxy_replacement,[],[f268,f281]) ).

fof(f268,plain,
    ( s_worst7_init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f182,f164]) ).

fof(f182,plain,
    ( init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f439,plain,
    ( ~ spl9_25
    | spl9_22 ),
    inference(avatar_split_clause,[],[f291,f413,f431]) ).

fof(f413,plain,
    ( spl9_22
  <=> sQ8_eqProxy(s_worst7_init,pvar1402_init) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_22])]) ).

fof(f291,plain,
    ( sQ8_eqProxy(s_worst7_init,pvar1402_init)
    | ~ gt(loopcounter,n1) ),
    inference(equality_proxy_replacement,[],[f267,f281]) ).

fof(f267,plain,
    ( s_worst7_init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f183,f164]) ).

fof(f183,plain,
    ( init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f438,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17
    | ~ spl9_18
    | spl9_5
    | spl9_3
    | spl9_1
    | spl9_24
    | spl9_25 ),
    inference(avatar_split_clause,[],[f437,f431,f425,f325,f334,f343,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353]) ).

fof(f437,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f318,f317]) ).

fof(f317,plain,
    ! [X0] : sQ8_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f281]) ).

fof(f318,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f290]) ).

fof(f290,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f266,f281,f281,f281,f281]) ).

fof(f266,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f184,f164,f164,f164,f164,f164]) ).

fof(f184,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ 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(cnf_transformation,[],[f146]) ).

fof(f436,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17
    | ~ spl9_18
    | spl9_5
    | spl9_3
    | spl9_1
    | spl9_23
    | spl9_25 ),
    inference(avatar_split_clause,[],[f435,f431,f419,f325,f334,f343,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353]) ).

fof(f435,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f319,f317]) ).

fof(f319,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f289]) ).

fof(f289,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f265,f281,f281,f281,f281]) ).

fof(f265,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f185,f164,f164,f164,f164,f164]) ).

fof(f185,plain,
    ( gt(loopcounter,n1)
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ 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(cnf_transformation,[],[f146]) ).

fof(f434,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17
    | ~ spl9_18
    | spl9_5
    | spl9_3
    | spl9_1
    | ~ spl9_19
    | spl9_25 ),
    inference(avatar_split_clause,[],[f429,f431,f401,f325,f334,f343,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353]) ).

fof(f429,plain,
    ( gt(loopcounter,n1)
    | ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f320,f317]) ).

fof(f320,plain,
    ( gt(loopcounter,n1)
    | ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f288]) ).

fof(f288,plain,
    ( gt(loopcounter,n1)
    | ~ sQ8_eqProxy(s_worst7_init,a_select2(s_try7_init,sK7))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f264,f281,f281,f281,f281,f281]) ).

fof(f264,plain,
    ( gt(loopcounter,n1)
    | s_worst7_init != a_select2(s_try7_init,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f186,f164,f164,f164,f164,f164,f164]) ).

fof(f186,plain,
    ( gt(loopcounter,n1)
    | init != a_select2(s_try7_init,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ 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(cnf_transformation,[],[f146]) ).

fof(f428,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17
    | ~ spl9_18
    | spl9_5
    | spl9_3
    | spl9_1
    | spl9_24
    | ~ spl9_20
    | ~ spl9_21
    | ~ spl9_22 ),
    inference(avatar_split_clause,[],[f423,f413,f409,f405,f425,f325,f334,f343,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353]) ).

fof(f423,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f321,f317]) ).

fof(f321,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f287]) ).

fof(f287,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f263,f281,f281,f281,f281,f281,f281,f281]) ).

fof(f263,plain,
    ( s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f187,f164,f164,f164,f164,f164,f164,f164,f164]) ).

fof(f187,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(n0,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ 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(cnf_transformation,[],[f146]) ).

fof(f422,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17
    | ~ spl9_18
    | spl9_5
    | spl9_3
    | spl9_1
    | spl9_23
    | ~ spl9_20
    | ~ spl9_21
    | ~ spl9_22 ),
    inference(avatar_split_clause,[],[f417,f413,f409,f405,f419,f325,f334,f343,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353]) ).

fof(f417,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f322,f317]) ).

fof(f322,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f286]) ).

fof(f286,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f262,f281,f281,f281,f281,f281,f281,f281]) ).

fof(f262,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f188,f164,f164,f164,f164,f164,f164,f164,f164]) ).

fof(f188,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(sK7,minus(n3,n1))
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ 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(cnf_transformation,[],[f146]) ).

fof(f416,plain,
    ( ~ spl9_7
    | ~ spl9_8
    | ~ spl9_9
    | ~ spl9_10
    | ~ spl9_11
    | ~ spl9_12
    | ~ spl9_13
    | ~ spl9_14
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_17
    | ~ spl9_18
    | spl9_5
    | spl9_3
    | spl9_1
    | ~ spl9_19
    | ~ spl9_20
    | ~ spl9_21
    | ~ spl9_22 ),
    inference(avatar_split_clause,[],[f351,f413,f409,f405,f401,f325,f334,f343,f397,f393,f389,f385,f381,f377,f373,f369,f365,f361,f357,f353]) ).

fof(f351,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f323,f317]) ).

fof(f323,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f285]) ).

fof(f285,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f261,f281,f281,f281,f281,f281,f281,f281,f281]) ).

fof(f261,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(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ 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,[],[f189,f164,f164,f164,f164,f164,f164,f164,f164,f164]) ).

fof(f189,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | init != a_select2(s_try7_init,sK7)
    | sP2
    | sP1
    | sP0
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv20)
    | ~ 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(cnf_transformation,[],[f146]) ).

fof(f350,plain,
    ( ~ spl9_5
    | ~ spl9_6 ),
    inference(avatar_split_clause,[],[f284,f347,f343]) ).

fof(f284,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select3(simplex7_init,sK6,sK5))
    | ~ sP0 ),
    inference(equality_proxy_replacement,[],[f260,f281]) ).

fof(f260,plain,
    ( s_worst7_init != a_select3(simplex7_init,sK6,sK5)
    | ~ sP0 ),
    inference(definition_unfolding,[],[f160,f164]) ).

fof(f160,plain,
    ( init != a_select3(simplex7_init,sK6,sK5)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f143]) ).

fof(f341,plain,
    ( ~ spl9_3
    | ~ spl9_4 ),
    inference(avatar_split_clause,[],[f283,f338,f334]) ).

fof(f283,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_values7_init,sK4))
    | ~ sP1 ),
    inference(equality_proxy_replacement,[],[f259,f281]) ).

fof(f259,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK4)
    | ~ sP1 ),
    inference(definition_unfolding,[],[f155,f164]) ).

fof(f155,plain,
    ( init != a_select2(s_values7_init,sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f332,plain,
    ( ~ spl9_1
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f282,f329,f325]) ).

fof(f282,plain,
    ( ~ sQ8_eqProxy(s_worst7_init,a_select2(s_center7_init,sK3))
    | ~ sP2 ),
    inference(equality_proxy_replacement,[],[f258,f281]) ).

fof(f258,plain,
    ( s_worst7_init != a_select2(s_center7_init,sK3)
    | ~ sP2 ),
    inference(definition_unfolding,[],[f152,f164]) ).

fof(f152,plain,
    ( init != a_select2(s_center7_init,sK3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f134]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV025+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.15/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n004.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 18:26:48 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.22/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.qABcGEjAmJ/Vampire---4.8_19364
% 0.63/0.81  % (19577)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 (2995ds/51Mi)
% 0.63/0.81  % (19583)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 (2995ds/56Mi)
% 0.63/0.81  % (19576)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 (2995ds/34Mi)
% 0.63/0.81  % (19578)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81  % (19579)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81  % (19580)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 (2995ds/34Mi)
% 0.63/0.81  % (19581)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81  % (19582)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 (2995ds/83Mi)
% 0.63/0.82  % (19583)First to succeed.
% 0.63/0.82  % (19576)Also succeeded, but the first one will report.
% 0.63/0.82  % (19577)Also succeeded, but the first one will report.
% 0.63/0.82  % (19583)Refutation found. Thanks to Tanya!
% 0.63/0.82  % SZS status Theorem for Vampire---4
% 0.63/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82  % (19583)------------------------------
% 0.63/0.82  % (19583)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (19583)Termination reason: Refutation
% 0.63/0.82  
% 0.63/0.82  % (19583)Memory used [KB]: 1275
% 0.63/0.82  % (19583)Time elapsed: 0.007 s
% 0.63/0.82  % (19583)Instructions burned: 21 (million)
% 0.63/0.82  % (19583)------------------------------
% 0.63/0.82  % (19583)------------------------------
% 0.63/0.82  % (19530)Success in time 0.448 s
% 0.63/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------