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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV025+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:20:01 PM UTC 2026

% Result   : Theorem 0.18s 0.29s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  234 (  51 unt;  36 def)
%            Number of atoms       : 1552 ( 324 equ)
%            Maximal formula atoms :   66 (   6 avg)
%            Number of connectives : 2183 ( 865   ~; 977   |; 282   &)
%                                         (  33 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   40 (  38 usr;  37 prp; 0-2 aty)
%            Number of functors    :   32 (  32 usr;  29 con; 0-3 aty)
%            Number of variables   :   81 (   0 sgn  57   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,conjecture,
    ( ( init = init
      & s_best7_init = init
      & s_sworst7_init = init
      & s_worst7_init = init
      & leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(n0,pv7)
      & leq(n0,pv19)
      & leq(n0,pv20)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & leq(pv7,minus(n410,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv20,minus(n330,n1))
      & ! [X0] :
          ( ( leq(n0,X0)
            & leq(X0,n2) )
         => ! [X1] :
              ( ( leq(n0,X1)
                & leq(X1,n3) )
             => a_select3(simplex7_init,X1,X0) = init ) )
      & ! [X2] :
          ( ( leq(n0,X2)
            & leq(X2,n3) )
         => a_select2(s_values7_init,X2) = init )
      & ! [X3] :
          ( ( leq(n0,X3)
            & leq(X3,n2) )
         => a_select2(s_center7_init,X3) = init )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,minus(n3,n1)) )
         => a_select2(s_try7_init,X4) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) )
   => ( init = init
      & s_best7_init = init
      & s_sworst7_init = init
      & s_worst7_init = init
      & leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(n0,pv19)
      & leq(n0,pv20)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & leq(pv19,minus(n410,n1))
      & leq(pv20,minus(n330,n1))
      & ! [X5] :
          ( ( leq(n0,X5)
            & leq(X5,n2) )
         => ! [X6] :
              ( ( leq(n0,X6)
                & leq(X6,n3) )
             => a_select3(simplex7_init,X6,X5) = init ) )
      & ! [X7] :
          ( ( leq(n0,X7)
            & leq(X7,n3) )
         => a_select2(s_values7_init,X7) = init )
      & ! [X8] :
          ( ( leq(n0,X8)
            & leq(X8,n2) )
         => a_select2(s_center7_init,X8) = init )
      & ! [X9] :
          ( ( leq(n0,X9)
            & leq(X9,minus(n3,n1)) )
         => a_select2(s_try7_init,X9) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0013) ).

fof(f54,negated_conjecture,
    ~ ( ( init = init
        & s_best7_init = init
        & s_sworst7_init = init
        & s_worst7_init = init
        & leq(n0,s_best7)
        & leq(n0,s_sworst7)
        & leq(n0,s_worst7)
        & leq(n0,pv7)
        & leq(n0,pv19)
        & leq(n0,pv20)
        & leq(s_best7,n3)
        & leq(s_sworst7,n3)
        & leq(s_worst7,n3)
        & leq(pv7,minus(n410,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv20,minus(n330,n1))
        & ! [X0] :
            ( ( leq(n0,X0)
              & leq(X0,n2) )
           => ! [X1] :
                ( ( leq(n0,X1)
                  & leq(X1,n3) )
               => a_select3(simplex7_init,X1,X0) = init ) )
        & ! [X2] :
            ( ( leq(n0,X2)
              & leq(X2,n3) )
           => a_select2(s_values7_init,X2) = init )
        & ! [X3] :
            ( ( leq(n0,X3)
              & leq(X3,n2) )
           => a_select2(s_center7_init,X3) = init )
        & ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,minus(n3,n1)) )
           => a_select2(s_try7_init,X4) = init )
        & ( gt(loopcounter,n1)
         => ( pvar1400_init = init
            & pvar1401_init = init
            & pvar1402_init = init ) ) )
     => ( init = init
        & s_best7_init = init
        & s_sworst7_init = init
        & s_worst7_init = init
        & leq(n0,s_best7)
        & leq(n0,s_sworst7)
        & leq(n0,s_worst7)
        & leq(n0,pv19)
        & leq(n0,pv20)
        & leq(s_best7,n3)
        & leq(s_sworst7,n3)
        & leq(s_worst7,n3)
        & leq(pv19,minus(n410,n1))
        & leq(pv20,minus(n330,n1))
        & ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,n2) )
           => ! [X6] :
                ( ( leq(n0,X6)
                  & leq(X6,n3) )
               => a_select3(simplex7_init,X6,X5) = init ) )
        & ! [X7] :
            ( ( leq(n0,X7)
              & leq(X7,n3) )
           => a_select2(s_values7_init,X7) = init )
        & ! [X8] :
            ( ( leq(n0,X8)
              & leq(X8,n2) )
           => a_select2(s_center7_init,X8) = init )
        & ! [X9] :
            ( ( leq(n0,X9)
              & leq(X9,minus(n3,n1)) )
           => a_select2(s_try7_init,X9) = init )
        & ( gt(loopcounter,n1)
         => ( pvar1400_init = init
            & pvar1401_init = init
            & pvar1402_init = init ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f151,plain,
    ( ( init != init
      | init != s_best7_init
      | init != s_sworst7_init
      | init != s_worst7_init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv20)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv20,minus(n330,n1))
      | ? [X5] :
          ( ? [X6] :
              ( init != a_select3(simplex7_init,X6,X5)
              & leq(n0,X6)
              & leq(X6,n3) )
          & leq(n0,X5)
          & leq(X5,n2) )
      | ? [X7] :
          ( init != a_select2(s_values7_init,X7)
          & leq(n0,X7)
          & leq(X7,n3) )
      | ? [X8] :
          ( init != a_select2(s_center7_init,X8)
          & leq(n0,X8)
          & leq(X8,n2) )
      | ? [X9] :
          ( init != a_select2(s_try7_init,X9)
          & leq(n0,X9)
          & leq(X9,minus(n3,n1)) )
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & init = init
    & s_best7_init = init
    & s_sworst7_init = init
    & s_worst7_init = init
    & leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(n0,s_worst7)
    & leq(n0,pv7)
    & leq(n0,pv19)
    & leq(n0,pv20)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv7,minus(n410,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv20,minus(n330,n1))
    & ! [X0] :
        ( ! [X1] :
            ( a_select3(simplex7_init,X1,X0) = init
            | ~ leq(n0,X1)
            | ~ leq(X1,n3) )
        | ~ leq(n0,X0)
        | ~ leq(X0,n2) )
    & ! [X2] :
        ( a_select2(s_values7_init,X2) = init
        | ~ leq(n0,X2)
        | ~ leq(X2,n3) )
    & ! [X3] :
        ( a_select2(s_center7_init,X3) = init
        | ~ leq(n0,X3)
        | ~ leq(X3,n2) )
    & ! [X4] :
        ( a_select2(s_try7_init,X4) = init
        | ~ leq(n0,X4)
        | ~ leq(X4,minus(n3,n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f152,plain,
    ( ( init != init
      | init != s_best7_init
      | init != s_sworst7_init
      | init != s_worst7_init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv20)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv20,minus(n330,n1))
      | ? [X5] :
          ( ? [X6] :
              ( init != a_select3(simplex7_init,X6,X5)
              & leq(n0,X6)
              & leq(X6,n3) )
          & leq(n0,X5)
          & leq(X5,n2) )
      | ? [X7] :
          ( init != a_select2(s_values7_init,X7)
          & leq(n0,X7)
          & leq(X7,n3) )
      | ? [X8] :
          ( init != a_select2(s_center7_init,X8)
          & leq(n0,X8)
          & leq(X8,n2) )
      | ? [X9] :
          ( init != a_select2(s_try7_init,X9)
          & leq(n0,X9)
          & leq(X9,minus(n3,n1)) )
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & init = init
    & s_best7_init = init
    & s_sworst7_init = init
    & s_worst7_init = init
    & leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(n0,s_worst7)
    & leq(n0,pv7)
    & leq(n0,pv19)
    & leq(n0,pv20)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv7,minus(n410,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv20,minus(n330,n1))
    & ! [X0] :
        ( ! [X1] :
            ( a_select3(simplex7_init,X1,X0) = init
            | ~ leq(n0,X1)
            | ~ leq(X1,n3) )
        | ~ leq(n0,X0)
        | ~ leq(X0,n2) )
    & ! [X2] :
        ( a_select2(s_values7_init,X2) = init
        | ~ leq(n0,X2)
        | ~ leq(X2,n3) )
    & ! [X3] :
        ( a_select2(s_center7_init,X3) = init
        | ~ leq(n0,X3)
        | ~ leq(X3,n2) )
    & ! [X4] :
        ( a_select2(s_try7_init,X4) = init
        | ~ leq(n0,X4)
        | ~ leq(X4,minus(n3,n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(flattening,[],[f151]) ).

fof(f172,definition,
    ( ? [X5] :
        ( ? [X6] :
            ( init != a_select3(simplex7_init,X6,X5)
            & leq(n0,X6)
            & leq(X6,n3) )
        & leq(n0,X5)
        & leq(X5,n2) )
    | ~ sP4 ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f173,definition,
    ( ? [X9] :
        ( init != a_select2(s_try7_init,X9)
        & leq(n0,X9)
        & leq(X9,minus(n3,n1)) )
    | ~ sP5 ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

fof(f174,definition,
    ( ? [X8] :
        ( init != a_select2(s_center7_init,X8)
        & leq(n0,X8)
        & leq(X8,n2) )
    | ~ sP6 ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

fof(f175,plain,
    ( ( init != init
      | init != s_best7_init
      | init != s_sworst7_init
      | init != s_worst7_init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv20)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv20,minus(n330,n1))
      | sP4
      | ? [X7] :
          ( init != a_select2(s_values7_init,X7)
          & leq(n0,X7)
          & leq(X7,n3) )
      | sP6
      | sP5
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & init = init
    & s_best7_init = init
    & s_sworst7_init = init
    & s_worst7_init = init
    & leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(n0,s_worst7)
    & leq(n0,pv7)
    & leq(n0,pv19)
    & leq(n0,pv20)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv7,minus(n410,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv20,minus(n330,n1))
    & ! [X0] :
        ( ! [X1] :
            ( a_select3(simplex7_init,X1,X0) = init
            | ~ leq(n0,X1)
            | ~ leq(X1,n3) )
        | ~ leq(n0,X0)
        | ~ leq(X0,n2) )
    & ! [X2] :
        ( a_select2(s_values7_init,X2) = init
        | ~ leq(n0,X2)
        | ~ leq(X2,n3) )
    & ! [X3] :
        ( a_select2(s_center7_init,X3) = init
        | ~ leq(n0,X3)
        | ~ leq(X3,n2) )
    & ! [X4] :
        ( a_select2(s_try7_init,X4) = init
        | ~ leq(n0,X4)
        | ~ leq(X4,minus(n3,n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(definition_folding,[],[f152,f174,f173,f172]) ).

fof(f209,plain,
    ( ? [X8] :
        ( init != a_select2(s_center7_init,X8)
        & leq(n0,X8)
        & leq(X8,n2) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f174]) ).

fof(f210,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(n0,X0)
        & leq(X0,n2) )
    | ~ sP6 ),
    inference(rectify,[],[f209]) ).

fof(f211,plain,
    ( ( init != a_select2(s_center7_init,sK34)
      & leq(n0,sK34)
      & leq(sK34,n2) )
    | ~ sP6 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(X0,sK34)],[f210]) ).

fof(f212,plain,
    ( ? [X9] :
        ( init != a_select2(s_try7_init,X9)
        & leq(n0,X9)
        & leq(X9,minus(n3,n1)) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f173]) ).

fof(f213,plain,
    ( ? [X0] :
        ( init != a_select2(s_try7_init,X0)
        & leq(n0,X0)
        & leq(X0,minus(n3,n1)) )
    | ~ sP5 ),
    inference(rectify,[],[f212]) ).

fof(f214,plain,
    ( ( init != a_select2(s_try7_init,sK35)
      & leq(n0,sK35)
      & leq(sK35,minus(n3,n1)) )
    | ~ sP5 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f213]) ).

fof(f215,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( init != a_select3(simplex7_init,X6,X5)
            & leq(n0,X6)
            & leq(X6,n3) )
        & leq(n0,X5)
        & leq(X5,n2) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f172]) ).

fof(f216,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(n0,X1)
            & leq(X1,n3) )
        & leq(n0,X0)
        & leq(X0,n2) )
    | ~ sP4 ),
    inference(rectify,[],[f215]) ).

fof(f217,plain,
    ( ( init != a_select3(simplex7_init,sK37,sK36)
      & leq(n0,sK37)
      & leq(sK37,n3)
      & leq(n0,sK36)
      & leq(sK36,n2) )
    | ~ sP4 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X0,sK36),skolemize(X1,sK37)],[f216]) ).

fof(f218,plain,
    ( ( init != init
      | init != s_best7_init
      | init != s_sworst7_init
      | init != s_worst7_init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv20)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv20,minus(n330,n1))
      | sP4
      | ? [X0] :
          ( init != a_select2(s_values7_init,X0)
          & leq(n0,X0)
          & leq(X0,n3) )
      | sP6
      | sP5
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & init = init
    & s_best7_init = init
    & s_sworst7_init = init
    & s_worst7_init = init
    & leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(n0,s_worst7)
    & leq(n0,pv7)
    & leq(n0,pv19)
    & leq(n0,pv20)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv7,minus(n410,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv20,minus(n330,n1))
    & ! [X1] :
        ( ! [X2] :
            ( init = a_select3(simplex7_init,X2,X1)
            | ~ leq(n0,X2)
            | ~ leq(X2,n3) )
        | ~ leq(n0,X1)
        | ~ leq(X1,n2) )
    & ! [X3] :
        ( init = a_select2(s_values7_init,X3)
        | ~ leq(n0,X3)
        | ~ leq(X3,n3) )
    & ! [X4] :
        ( init = a_select2(s_center7_init,X4)
        | ~ leq(n0,X4)
        | ~ leq(X4,n2) )
    & ! [X5] :
        ( init = a_select2(s_try7_init,X5)
        | ~ leq(n0,X5)
        | ~ leq(X5,minus(n3,n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(rectify,[],[f175]) ).

fof(f219,plain,
    ( ( init != init
      | init != s_best7_init
      | init != s_sworst7_init
      | init != s_worst7_init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv20)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv20,minus(n330,n1))
      | sP4
      | ( init != a_select2(s_values7_init,sK38)
        & leq(n0,sK38)
        & leq(sK38,n3) )
      | sP6
      | sP5
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & init = init
    & s_best7_init = init
    & s_sworst7_init = init
    & s_worst7_init = init
    & leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(n0,s_worst7)
    & leq(n0,pv7)
    & leq(n0,pv19)
    & leq(n0,pv20)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv7,minus(n410,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv20,minus(n330,n1))
    & ! [X1] :
        ( ! [X2] :
            ( init = a_select3(simplex7_init,X2,X1)
            | ~ leq(n0,X2)
            | ~ leq(X2,n3) )
        | ~ leq(n0,X1)
        | ~ leq(X1,n2) )
    & ! [X3] :
        ( init = a_select2(s_values7_init,X3)
        | ~ leq(n0,X3)
        | ~ leq(X3,n3) )
    & ! [X4] :
        ( init = a_select2(s_center7_init,X4)
        | ~ leq(n0,X4)
        | ~ leq(X4,n2) )
    & ! [X5] :
        ( init = a_select2(s_try7_init,X5)
        | ~ leq(n0,X5)
        | ~ leq(X5,minus(n3,n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(X0,sK38)],[f218]) ).

fof(f330,plain,
    ( leq(sK34,n2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f211]) ).

fof(f331,plain,
    ( leq(n0,sK34)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f211]) ).

fof(f332,plain,
    ( init != a_select2(s_center7_init,sK34)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f211]) ).

fof(f333,plain,
    ( leq(sK35,minus(n3,n1))
    | ~ sP5 ),
    inference(cnf_transformation,[],[f214]) ).

fof(f334,plain,
    ( leq(n0,sK35)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f214]) ).

fof(f335,plain,
    ( init != a_select2(s_try7_init,sK35)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f214]) ).

fof(f336,plain,
    ( leq(sK36,n2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f217]) ).

fof(f337,plain,
    ( leq(n0,sK36)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f217]) ).

fof(f338,plain,
    ( leq(sK37,n3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f217]) ).

fof(f339,plain,
    ( leq(n0,sK37)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f217]) ).

fof(f340,plain,
    ( init != a_select3(simplex7_init,sK37,sK36)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f217]) ).

fof(f341,plain,
    ( init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f342,plain,
    ( init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f343,plain,
    ( init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f344,plain,
    ! [X5] :
      ( init = a_select2(s_try7_init,X5)
      | ~ leq(n0,X5)
      | ~ leq(X5,minus(n3,n1)) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f345,plain,
    ! [X4] :
      ( init = a_select2(s_center7_init,X4)
      | ~ leq(n0,X4)
      | ~ leq(X4,n2) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f346,plain,
    ! [X3] :
      ( init = a_select2(s_values7_init,X3)
      | ~ leq(n0,X3)
      | ~ leq(X3,n3) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f347,plain,
    ! [X2,X1] :
      ( init = a_select3(simplex7_init,X2,X1)
      | ~ leq(n0,X2)
      | ~ leq(X2,n3)
      | ~ leq(n0,X1)
      | ~ leq(X1,n2) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f348,plain,
    leq(pv20,minus(n330,n1)),
    inference(cnf_transformation,[],[f219]) ).

fof(f349,plain,
    leq(pv19,minus(n410,n1)),
    inference(cnf_transformation,[],[f219]) ).

fof(f351,plain,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f219]) ).

fof(f352,plain,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f219]) ).

fof(f353,plain,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f219]) ).

fof(f354,plain,
    leq(n0,pv20),
    inference(cnf_transformation,[],[f219]) ).

fof(f355,plain,
    leq(n0,pv19),
    inference(cnf_transformation,[],[f219]) ).

fof(f357,plain,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f219]) ).

fof(f358,plain,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f219]) ).

fof(f359,plain,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f219]) ).

fof(f360,plain,
    init = s_worst7_init,
    inference(cnf_transformation,[],[f219]) ).

fof(f361,plain,
    init = s_sworst7_init,
    inference(cnf_transformation,[],[f219]) ).

fof(f362,plain,
    init = s_best7_init,
    inference(cnf_transformation,[],[f219]) ).

fof(f364,plain,
    ( init != init
    | init != s_best7_init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(sK38,n3)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f365,plain,
    ( init != init
    | init != s_best7_init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(sK38,n3)
    | sP6
    | sP5
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(cnf_transformation,[],[f219]) ).

fof(f366,plain,
    ( init != init
    | init != s_best7_init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(n0,sK38)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f367,plain,
    ( init != init
    | init != s_best7_init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(n0,sK38)
    | sP6
    | sP5
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(cnf_transformation,[],[f219]) ).

fof(f368,plain,
    ( init != init
    | init != s_best7_init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | init != a_select2(s_values7_init,sK38)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f369,plain,
    ( init != init
    | init != s_best7_init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | init != a_select2(s_values7_init,sK38)
    | sP6
    | sP5
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(cnf_transformation,[],[f219]) ).

fof(f438,plain,
    ( s_best7_init != a_select2(s_center7_init,sK34)
    | ~ sP6 ),
    inference(definition_unfolding,[],[f332,f362]) ).

fof(f439,plain,
    ( s_best7_init != a_select2(s_try7_init,sK35)
    | ~ sP5 ),
    inference(definition_unfolding,[],[f335,f362]) ).

fof(f440,plain,
    ( s_best7_init != a_select3(simplex7_init,sK37,sK36)
    | ~ sP4 ),
    inference(definition_unfolding,[],[f340,f362]) ).

fof(f441,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | s_best7_init != a_select2(s_values7_init,sK38)
    | sP6
    | sP5
    | s_best7_init != pvar1400_init
    | s_best7_init != pvar1401_init
    | s_best7_init != pvar1402_init ),
    inference(definition_unfolding,[],[f369,f362,f362,f362,f362,f362,f362,f362,f362,f362]) ).

fof(f442,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | s_best7_init != a_select2(s_values7_init,sK38)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f368,f362,f362,f362,f362,f362,f362]) ).

fof(f443,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(n0,sK38)
    | sP6
    | sP5
    | s_best7_init != pvar1400_init
    | s_best7_init != pvar1401_init
    | s_best7_init != pvar1402_init ),
    inference(definition_unfolding,[],[f367,f362,f362,f362,f362,f362,f362,f362,f362]) ).

fof(f444,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(n0,sK38)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f366,f362,f362,f362,f362,f362]) ).

fof(f445,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(sK38,n3)
    | sP6
    | sP5
    | s_best7_init != pvar1400_init
    | s_best7_init != pvar1401_init
    | s_best7_init != pvar1402_init ),
    inference(definition_unfolding,[],[f365,f362,f362,f362,f362,f362,f362,f362,f362]) ).

fof(f446,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(sK38,n3)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f364,f362,f362,f362,f362,f362]) ).

fof(f448,plain,
    s_best7_init = s_sworst7_init,
    inference(definition_unfolding,[],[f361,f362]) ).

fof(f449,plain,
    s_best7_init = s_worst7_init,
    inference(definition_unfolding,[],[f360,f362]) ).

fof(f450,plain,
    ! [X2,X1] :
      ( ~ leq(n0,X2)
      | s_best7_init = a_select3(simplex7_init,X2,X1)
      | ~ leq(X2,n3)
      | ~ leq(n0,X1)
      | ~ leq(X1,n2) ),
    inference(definition_unfolding,[],[f347,f362]) ).

fof(f451,plain,
    ! [X3] :
      ( ~ leq(n0,X3)
      | s_best7_init = a_select2(s_values7_init,X3)
      | ~ leq(X3,n3) ),
    inference(definition_unfolding,[],[f346,f362]) ).

fof(f452,plain,
    ! [X4] :
      ( ~ leq(n0,X4)
      | s_best7_init = a_select2(s_center7_init,X4)
      | ~ leq(X4,n2) ),
    inference(definition_unfolding,[],[f345,f362]) ).

fof(f453,plain,
    ! [X5] :
      ( ~ leq(X5,minus(n3,n1))
      | ~ leq(n0,X5)
      | s_best7_init = a_select2(s_try7_init,X5) ),
    inference(definition_unfolding,[],[f344,f362]) ).

fof(f454,plain,
    ( s_best7_init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f343,f362]) ).

fof(f455,plain,
    ( s_best7_init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f342,f362]) ).

fof(f456,plain,
    ( s_best7_init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f341,f362]) ).

fof(f465,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(sK38,n3)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(duplicate_literal_removal,[],[f446]) ).

fof(f466,plain,
    ( s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(sK38,n3)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(trivial_inequality_removal,[],[f465]) ).

fof(f467,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(sK38,n3)
    | sP6
    | sP5
    | s_best7_init != pvar1400_init
    | s_best7_init != pvar1401_init
    | s_best7_init != pvar1402_init ),
    inference(duplicate_literal_removal,[],[f445]) ).

fof(f468,plain,
    ( s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(sK38,n3)
    | sP6
    | sP5
    | s_best7_init != pvar1400_init
    | s_best7_init != pvar1401_init
    | s_best7_init != pvar1402_init ),
    inference(trivial_inequality_removal,[],[f467]) ).

fof(f469,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(n0,sK38)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(duplicate_literal_removal,[],[f444]) ).

fof(f470,plain,
    ( s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(n0,sK38)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(trivial_inequality_removal,[],[f469]) ).

fof(f471,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(n0,sK38)
    | sP6
    | sP5
    | s_best7_init != pvar1400_init
    | s_best7_init != pvar1401_init
    | s_best7_init != pvar1402_init ),
    inference(duplicate_literal_removal,[],[f443]) ).

fof(f472,plain,
    ( s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | leq(n0,sK38)
    | sP6
    | sP5
    | s_best7_init != pvar1400_init
    | s_best7_init != pvar1401_init
    | s_best7_init != pvar1402_init ),
    inference(trivial_inequality_removal,[],[f471]) ).

fof(f473,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | s_best7_init != a_select2(s_values7_init,sK38)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(duplicate_literal_removal,[],[f442]) ).

fof(f474,plain,
    ( s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | s_best7_init != a_select2(s_values7_init,sK38)
    | sP6
    | sP5
    | gt(loopcounter,n1) ),
    inference(trivial_inequality_removal,[],[f473]) ).

fof(f475,plain,
    ( s_best7_init != s_best7_init
    | s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | s_best7_init != a_select2(s_values7_init,sK38)
    | sP6
    | sP5
    | s_best7_init != pvar1400_init
    | s_best7_init != pvar1401_init
    | s_best7_init != pvar1402_init ),
    inference(duplicate_literal_removal,[],[f441]) ).

fof(f476,plain,
    ( s_best7_init != s_sworst7_init
    | s_best7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | sP4
    | s_best7_init != a_select2(s_values7_init,sK38)
    | sP6
    | sP5
    | s_best7_init != pvar1400_init
    | s_best7_init != pvar1401_init
    | s_best7_init != pvar1402_init ),
    inference(trivial_inequality_removal,[],[f475]) ).

fof(f478,definition,
    ( spl39_1
  <=> gt(loopcounter,n1) ),
    introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition]) ).

fof(f482,definition,
    ( spl39_2
  <=> s_best7_init = pvar1402_init ),
    introduced(definition,[new_symbols(definition,[spl39_2])],[avatar_definition]) ).

fof(f485,plain,
    ( ~ spl39_1
    | spl39_2 ),
    inference(avatar_split_clause,[],[f456,f482,f478]) ).

fof(f487,definition,
    ( spl39_3
  <=> s_best7_init = pvar1401_init ),
    introduced(definition,[new_symbols(definition,[spl39_3])],[avatar_definition]) ).

fof(f490,plain,
    ( ~ spl39_1
    | spl39_3 ),
    inference(avatar_split_clause,[],[f455,f487,f478]) ).

fof(f492,definition,
    ( spl39_4
  <=> s_best7_init = pvar1400_init ),
    introduced(definition,[new_symbols(definition,[spl39_4])],[avatar_definition]) ).

fof(f495,plain,
    ( ~ spl39_1
    | spl39_4 ),
    inference(avatar_split_clause,[],[f454,f492,f478]) ).

fof(f497,definition,
    ( spl39_5
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl39_5])],[avatar_definition]) ).

fof(f501,definition,
    ( spl39_6
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition]) ).

fof(f505,definition,
    ( spl39_7
  <=> leq(sK38,n3) ),
    introduced(definition,[new_symbols(definition,[spl39_7])],[avatar_definition]) ).

fof(f507,plain,
    ( leq(sK38,n3)
    | ~ spl39_7 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f509,definition,
    ( spl39_8
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl39_8])],[avatar_definition]) ).

fof(f513,definition,
    ( spl39_9
  <=> leq(pv20,minus(n330,n1)) ),
    introduced(definition,[new_symbols(definition,[spl39_9])],[avatar_definition]) ).

fof(f517,definition,
    ( spl39_10
  <=> leq(pv19,minus(n410,n1)) ),
    introduced(definition,[new_symbols(definition,[spl39_10])],[avatar_definition]) ).

fof(f521,definition,
    ( spl39_11
  <=> leq(s_worst7,n3) ),
    introduced(definition,[new_symbols(definition,[spl39_11])],[avatar_definition]) ).

fof(f525,definition,
    ( spl39_12
  <=> leq(s_sworst7,n3) ),
    introduced(definition,[new_symbols(definition,[spl39_12])],[avatar_definition]) ).

fof(f529,definition,
    ( spl39_13
  <=> leq(s_best7,n3) ),
    introduced(definition,[new_symbols(definition,[spl39_13])],[avatar_definition]) ).

fof(f533,definition,
    ( spl39_14
  <=> leq(n0,pv20) ),
    introduced(definition,[new_symbols(definition,[spl39_14])],[avatar_definition]) ).

fof(f537,definition,
    ( spl39_15
  <=> leq(n0,pv19) ),
    introduced(definition,[new_symbols(definition,[spl39_15])],[avatar_definition]) ).

fof(f541,definition,
    ( spl39_16
  <=> leq(n0,s_worst7) ),
    introduced(definition,[new_symbols(definition,[spl39_16])],[avatar_definition]) ).

fof(f545,definition,
    ( spl39_17
  <=> leq(n0,s_sworst7) ),
    introduced(definition,[new_symbols(definition,[spl39_17])],[avatar_definition]) ).

fof(f549,definition,
    ( spl39_18
  <=> leq(n0,s_best7) ),
    introduced(definition,[new_symbols(definition,[spl39_18])],[avatar_definition]) ).

fof(f553,definition,
    ( spl39_19
  <=> s_best7_init = s_worst7_init ),
    introduced(definition,[new_symbols(definition,[spl39_19])],[avatar_definition]) ).

fof(f557,definition,
    ( spl39_20
  <=> s_best7_init = s_sworst7_init ),
    introduced(definition,[new_symbols(definition,[spl39_20])],[avatar_definition]) ).

fof(f560,plain,
    ( spl39_1
    | spl39_5
    | spl39_6
    | spl39_7
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20 ),
    inference(avatar_split_clause,[],[f466,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f505,f501,f497,f478]) ).

fof(f561,plain,
    ( ~ spl39_2
    | ~ spl39_3
    | ~ spl39_4
    | spl39_5
    | spl39_6
    | spl39_7
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20 ),
    inference(avatar_split_clause,[],[f468,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f505,f501,f497,f492,f487,f482]) ).

fof(f563,definition,
    ( spl39_21
  <=> leq(n0,sK38) ),
    introduced(definition,[new_symbols(definition,[spl39_21])],[avatar_definition]) ).

fof(f565,plain,
    ( leq(n0,sK38)
    | ~ spl39_21 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f566,plain,
    ( spl39_1
    | spl39_5
    | spl39_6
    | spl39_21
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20 ),
    inference(avatar_split_clause,[],[f470,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f563,f501,f497,f478]) ).

fof(f567,plain,
    ( ~ spl39_2
    | ~ spl39_3
    | ~ spl39_4
    | spl39_5
    | spl39_6
    | spl39_21
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20 ),
    inference(avatar_split_clause,[],[f472,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f563,f501,f497,f492,f487,f482]) ).

fof(f569,definition,
    ( spl39_22
  <=> s_best7_init = a_select2(s_values7_init,sK38) ),
    introduced(definition,[new_symbols(definition,[spl39_22])],[avatar_definition]) ).

fof(f572,plain,
    ( spl39_1
    | spl39_5
    | spl39_6
    | ~ spl39_22
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20 ),
    inference(avatar_split_clause,[],[f474,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f569,f501,f497,f478]) ).

fof(f573,plain,
    ( ~ spl39_2
    | ~ spl39_3
    | ~ spl39_4
    | spl39_5
    | spl39_6
    | ~ spl39_22
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20 ),
    inference(avatar_split_clause,[],[f476,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f569,f501,f497,f492,f487,f482]) ).

fof(f575,definition,
    ( spl39_23
  <=> leq(sK36,n2) ),
    introduced(definition,[new_symbols(definition,[spl39_23])],[avatar_definition]) ).

fof(f577,plain,
    ( leq(sK36,n2)
    | ~ spl39_23 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f578,plain,
    ( ~ spl39_8
    | spl39_23 ),
    inference(avatar_split_clause,[],[f336,f575,f509]) ).

fof(f580,definition,
    ( spl39_24
  <=> leq(n0,sK36) ),
    introduced(definition,[new_symbols(definition,[spl39_24])],[avatar_definition]) ).

fof(f582,plain,
    ( leq(n0,sK36)
    | ~ spl39_24 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f583,plain,
    ( ~ spl39_8
    | spl39_24 ),
    inference(avatar_split_clause,[],[f337,f580,f509]) ).

fof(f585,definition,
    ( spl39_25
  <=> leq(sK37,n3) ),
    introduced(definition,[new_symbols(definition,[spl39_25])],[avatar_definition]) ).

fof(f587,plain,
    ( leq(sK37,n3)
    | ~ spl39_25 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f588,plain,
    ( ~ spl39_8
    | spl39_25 ),
    inference(avatar_split_clause,[],[f338,f585,f509]) ).

fof(f590,definition,
    ( spl39_26
  <=> leq(n0,sK37) ),
    introduced(definition,[new_symbols(definition,[spl39_26])],[avatar_definition]) ).

fof(f592,plain,
    ( leq(n0,sK37)
    | ~ spl39_26 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f593,plain,
    ( ~ spl39_8
    | spl39_26 ),
    inference(avatar_split_clause,[],[f339,f590,f509]) ).

fof(f595,definition,
    ( spl39_27
  <=> s_best7_init = a_select3(simplex7_init,sK37,sK36) ),
    introduced(definition,[new_symbols(definition,[spl39_27])],[avatar_definition]) ).

fof(f597,plain,
    ( s_best7_init != a_select3(simplex7_init,sK37,sK36)
    | spl39_27 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f598,plain,
    ( ~ spl39_8
    | ~ spl39_27 ),
    inference(avatar_split_clause,[],[f440,f595,f509]) ).

fof(f600,definition,
    ( spl39_28
  <=> leq(sK35,minus(n3,n1)) ),
    introduced(definition,[new_symbols(definition,[spl39_28])],[avatar_definition]) ).

fof(f602,plain,
    ( leq(sK35,minus(n3,n1))
    | ~ spl39_28 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f603,plain,
    ( ~ spl39_5
    | spl39_28 ),
    inference(avatar_split_clause,[],[f333,f600,f497]) ).

fof(f605,definition,
    ( spl39_29
  <=> leq(n0,sK35) ),
    introduced(definition,[new_symbols(definition,[spl39_29])],[avatar_definition]) ).

fof(f607,plain,
    ( leq(n0,sK35)
    | ~ spl39_29 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f608,plain,
    ( ~ spl39_5
    | spl39_29 ),
    inference(avatar_split_clause,[],[f334,f605,f497]) ).

fof(f610,definition,
    ( spl39_30
  <=> s_best7_init = a_select2(s_try7_init,sK35) ),
    introduced(definition,[new_symbols(definition,[spl39_30])],[avatar_definition]) ).

fof(f612,plain,
    ( s_best7_init != a_select2(s_try7_init,sK35)
    | spl39_30 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( ~ spl39_5
    | ~ spl39_30 ),
    inference(avatar_split_clause,[],[f439,f610,f497]) ).

fof(f615,definition,
    ( spl39_31
  <=> leq(sK34,n2) ),
    introduced(definition,[new_symbols(definition,[spl39_31])],[avatar_definition]) ).

fof(f617,plain,
    ( leq(sK34,n2)
    | ~ spl39_31 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f618,plain,
    ( ~ spl39_6
    | spl39_31 ),
    inference(avatar_split_clause,[],[f330,f615,f501]) ).

fof(f620,definition,
    ( spl39_32
  <=> leq(n0,sK34) ),
    introduced(definition,[new_symbols(definition,[spl39_32])],[avatar_definition]) ).

fof(f622,plain,
    ( leq(n0,sK34)
    | ~ spl39_32 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( ~ spl39_6
    | spl39_32 ),
    inference(avatar_split_clause,[],[f331,f620,f501]) ).

fof(f625,definition,
    ( spl39_33
  <=> s_best7_init = a_select2(s_center7_init,sK34) ),
    introduced(definition,[new_symbols(definition,[spl39_33])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ spl39_6
    | ~ spl39_33 ),
    inference(avatar_split_clause,[],[f438,f625,f501]) ).

fof(f629,plain,
    spl39_11,
    inference(avatar_split_clause,[],[f351,f521]) ).

fof(f630,plain,
    spl39_12,
    inference(avatar_split_clause,[],[f352,f525]) ).

fof(f631,plain,
    spl39_13,
    inference(avatar_split_clause,[],[f353,f529]) ).

fof(f632,plain,
    spl39_14,
    inference(avatar_split_clause,[],[f354,f533]) ).

fof(f633,plain,
    spl39_15,
    inference(avatar_split_clause,[],[f355,f537]) ).

fof(f634,plain,
    spl39_16,
    inference(avatar_split_clause,[],[f357,f541]) ).

fof(f635,plain,
    spl39_17,
    inference(avatar_split_clause,[],[f358,f545]) ).

fof(f636,plain,
    spl39_18,
    inference(avatar_split_clause,[],[f359,f549]) ).

fof(f637,plain,
    spl39_20,
    inference(avatar_split_clause,[],[f448,f557]) ).

fof(f638,plain,
    spl39_19,
    inference(avatar_split_clause,[],[f449,f553]) ).

fof(f639,plain,
    spl39_9,
    inference(avatar_split_clause,[],[f348,f513]) ).

fof(f640,plain,
    spl39_10,
    inference(avatar_split_clause,[],[f349,f517]) ).

fof(f647,plain,
    ( s_best7_init = a_select2(s_values7_init,sK38)
    | ~ leq(sK38,n3)
    | ~ spl39_21 ),
    inference(resolution,[],[f451,f565]) ).

fof(f681,plain,
    ( s_best7_init = a_select2(s_values7_init,sK38)
    | ~ spl39_7
    | ~ spl39_21 ),
    inference(forward_subsumption_resolution,[],[f647,f507]) ).

fof(f682,plain,
    ( spl39_22
    | ~ spl39_7
    | ~ spl39_21 ),
    inference(avatar_split_clause,[],[f681,f563,f505,f569]) ).

fof(f856,plain,
    ( ! [X0] :
        ( s_best7_init = a_select3(simplex7_init,sK37,X0)
        | ~ leq(sK37,n3)
        | ~ leq(n0,X0)
        | ~ leq(X0,n2) )
    | ~ spl39_26 ),
    inference(resolution,[],[f592,f450]) ).

fof(f893,plain,
    ( ! [X0] :
        ( ~ leq(n0,X0)
        | s_best7_init = a_select3(simplex7_init,sK37,X0)
        | ~ leq(X0,n2) )
    | ~ spl39_25
    | ~ spl39_26 ),
    inference(forward_subsumption_resolution,[],[f856,f587]) ).

fof(f1117,plain,
    ( s_best7_init = a_select3(simplex7_init,sK37,sK36)
    | ~ leq(sK36,n2)
    | ~ spl39_24
    | ~ spl39_25
    | ~ spl39_26 ),
    inference(resolution,[],[f893,f582]) ).

fof(f1122,plain,
    ( ~ leq(sK36,n2)
    | ~ spl39_24
    | ~ spl39_25
    | ~ spl39_26
    | spl39_27 ),
    inference(forward_subsumption_resolution,[],[f1117,f597]) ).

fof(f1124,plain,
    ( $false
    | ~ spl39_23
    | ~ spl39_24
    | ~ spl39_25
    | ~ spl39_26
    | spl39_27 ),
    inference(forward_subsumption_resolution,[],[f1122,f577]) ).

fof(f1125,plain,
    ( ~ spl39_23
    | ~ spl39_24
    | ~ spl39_25
    | ~ spl39_26
    | spl39_27 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1148,plain,
    ( s_best7_init = a_select2(s_center7_init,sK34)
    | ~ leq(sK34,n2)
    | ~ spl39_32 ),
    inference(resolution,[],[f622,f452]) ).

fof(f1177,plain,
    ( s_best7_init = a_select2(s_center7_init,sK34)
    | ~ spl39_31
    | ~ spl39_32 ),
    inference(forward_subsumption_resolution,[],[f1148,f617]) ).

fof(f1178,plain,
    ( spl39_33
    | ~ spl39_31
    | ~ spl39_32 ),
    inference(avatar_split_clause,[],[f1177,f620,f615,f625]) ).

fof(f1240,plain,
    ( ~ leq(n0,sK35)
    | s_best7_init = a_select2(s_try7_init,sK35)
    | ~ spl39_28 ),
    inference(resolution,[],[f602,f453]) ).

fof(f1241,plain,
    ( s_best7_init = a_select2(s_try7_init,sK35)
    | ~ spl39_28
    | ~ spl39_29 ),
    inference(forward_subsumption_resolution,[],[f1240,f607]) ).

fof(f1242,plain,
    ( $false
    | ~ spl39_28
    | ~ spl39_29
    | spl39_30 ),
    inference(forward_subsumption_resolution,[],[f1241,f612]) ).

fof(f1243,plain,
    ( ~ spl39_28
    | ~ spl39_29
    | spl39_30 ),
    inference(avatar_contradiction_clause,[],[f1242]) ).

cnf(s1,plain,
    ( ~ spl39_1
    | spl39_2 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s2,plain,
    ( ~ spl39_1
    | spl39_3 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s3,plain,
    ( ~ spl39_1
    | spl39_4 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s4,plain,
    ( spl39_1
    | spl39_5
    | spl39_6
    | spl39_7
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s5,plain,
    ( ~ spl39_2
    | ~ spl39_3
    | ~ spl39_4
    | spl39_5
    | spl39_6
    | spl39_7
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s6,plain,
    ( spl39_1
    | spl39_5
    | spl39_6
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20
    | spl39_21 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s7,plain,
    ( ~ spl39_2
    | ~ spl39_3
    | ~ spl39_4
    | spl39_5
    | spl39_6
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20
    | spl39_21 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s8,plain,
    ( spl39_1
    | spl39_5
    | spl39_6
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20
    | ~ spl39_22 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s9,plain,
    ( ~ spl39_2
    | ~ spl39_3
    | ~ spl39_4
    | spl39_5
    | spl39_6
    | spl39_8
    | ~ spl39_9
    | ~ spl39_10
    | ~ spl39_11
    | ~ spl39_12
    | ~ spl39_13
    | ~ spl39_14
    | ~ spl39_15
    | ~ spl39_16
    | ~ spl39_17
    | ~ spl39_18
    | ~ spl39_19
    | ~ spl39_20
    | ~ spl39_22 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s10,plain,
    ( ~ spl39_8
    | spl39_23 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s11,plain,
    ( ~ spl39_8
    | spl39_24 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s12,plain,
    ( ~ spl39_8
    | spl39_25 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s13,plain,
    ( ~ spl39_8
    | spl39_26 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s14,plain,
    ( ~ spl39_8
    | ~ spl39_27 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s15,plain,
    ( ~ spl39_5
    | spl39_28 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s16,plain,
    ( ~ spl39_5
    | spl39_29 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s17,plain,
    ( ~ spl39_5
    | ~ spl39_30 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s18,plain,
    ( ~ spl39_6
    | spl39_31 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s19,plain,
    ( ~ spl39_6
    | spl39_32 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s20,plain,
    ( ~ spl39_6
    | ~ spl39_33 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s21,plain,
    spl39_11,
    inference(sat_conversion,[],[f629]) ).

cnf(s22,plain,
    spl39_12,
    inference(sat_conversion,[],[f630]) ).

cnf(s23,plain,
    spl39_13,
    inference(sat_conversion,[],[f631]) ).

cnf(s24,plain,
    spl39_14,
    inference(sat_conversion,[],[f632]) ).

cnf(s25,plain,
    spl39_15,
    inference(sat_conversion,[],[f633]) ).

cnf(s26,plain,
    spl39_16,
    inference(sat_conversion,[],[f634]) ).

cnf(s27,plain,
    spl39_17,
    inference(sat_conversion,[],[f635]) ).

cnf(s28,plain,
    spl39_18,
    inference(sat_conversion,[],[f636]) ).

cnf(s29,plain,
    spl39_20,
    inference(sat_conversion,[],[f637]) ).

cnf(s30,plain,
    spl39_19,
    inference(sat_conversion,[],[f638]) ).

cnf(s31,plain,
    spl39_9,
    inference(sat_conversion,[],[f639]) ).

cnf(s32,plain,
    spl39_10,
    inference(sat_conversion,[],[f640]) ).

cnf(s37,plain,
    ( ~ spl39_7
    | ~ spl39_21
    | spl39_22 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s71,plain,
    ( ~ spl39_23
    | ~ spl39_24
    | ~ spl39_25
    | ~ spl39_26
    | spl39_27 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s75,plain,
    ( ~ spl39_31
    | ~ spl39_32
    | spl39_33 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s85,plain,
    ( ~ spl39_28
    | ~ spl39_29
    | spl39_30 ),
    inference(sat_conversion,[],[f1243]) ).

cnf(s96,plain,
    ( ~ spl39_2
    | ~ spl39_3
    | ~ spl39_4
    | spl39_5
    | spl39_6
    | spl39_8
    | ~ spl39_22 ),
    inference(rat,[],[s9,s29,s30,s28,s27,s26,s25,s24,s23,s22,s21,s32,s31]) ).

cnf(s97,plain,
    ( spl39_1
    | spl39_5
    | spl39_6
    | spl39_8
    | ~ spl39_22 ),
    inference(rat,[],[s8,s29,s30,s28,s27,s26,s25,s24,s23,s22,s21,s32,s31]) ).

cnf(s98,plain,
    ( ~ spl39_2
    | ~ spl39_3
    | ~ spl39_4
    | spl39_5
    | spl39_6
    | spl39_8
    | spl39_21 ),
    inference(rat,[],[s7,s29,s30,s28,s27,s26,s25,s24,s23,s22,s21,s32,s31]) ).

cnf(s99,plain,
    ( spl39_1
    | spl39_5
    | spl39_6
    | spl39_8
    | spl39_21 ),
    inference(rat,[],[s6,s29,s30,s28,s27,s26,s25,s24,s23,s22,s21,s32,s31]) ).

cnf(s100,plain,
    ( ~ spl39_2
    | ~ spl39_3
    | ~ spl39_4
    | spl39_5
    | spl39_6
    | spl39_7
    | spl39_8 ),
    inference(rat,[],[s5,s29,s30,s28,s27,s26,s25,s24,s23,s22,s21,s32,s31]) ).

cnf(s101,plain,
    ( spl39_1
    | spl39_5
    | spl39_6
    | spl39_7
    | spl39_8 ),
    inference(rat,[],[s4,s29,s30,s28,s27,s26,s25,s24,s23,s22,s21,s32,s31]) ).

cnf(s102,plain,
    ~ spl39_8,
    inference(rat,[],[s71,s10,s11,s12,s13,s14]) ).

cnf(s103,plain,
    ( spl39_6
    | spl39_5
    | spl39_1 ),
    inference(rat,[],[s37,s99,s97,s101,s102]) ).

cnf(s104,plain,
    ~ spl39_6,
    inference(rat,[],[s75,s18,s19,s20]) ).

cnf(s105,plain,
    ~ spl39_5,
    inference(rat,[],[s85,s15,s16,s17]) ).

cnf(s106,plain,
    spl39_1,
    inference(rat,[],[s103,s104,s105]) ).

cnf(s107,plain,
    spl39_4,
    inference(rat,[],[s3,s106]) ).

cnf(s108,plain,
    spl39_3,
    inference(rat,[],[s2,s106]) ).

cnf(s109,plain,
    spl39_2,
    inference(rat,[],[s1,s106]) ).

cnf(s110,plain,
    ~ spl39_22,
    inference(rat,[],[s96,s102,s105,s104,s108,s107,s109]) ).

cnf(s111,plain,
    spl39_21,
    inference(rat,[],[s98,s102,s105,s104,s108,s107,s109]) ).

cnf(s112,plain,
    spl39_7,
    inference(rat,[],[s100,s107,s105,s104,s108,s102,s109]) ).

cnf(s114,plain,
    $false,
    inference(rat,[],[s37,s110,s111,s112]) ).

fof(f1244,plain,
    $false,
    inference(avatar_sat_refutation,[],[s114]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV025+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n004.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 09:43:07 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.29  % (246404)Will run a generic schedule for satisfiability detection.
% 0.18/0.29  % (246409)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2091032958_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.29  % (246410)% WARNING: option uhcvi not known.
% 0.18/0.29  % (246410)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2496948351:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.29  % (246411)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2275827387:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.29  % (246412)dis+10_1_sil=32000:sp=arity:random_seed=2325128734:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.29  % (246413)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3260461823:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.29  % (246415)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1203670748:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.29  % (246414)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4117781669:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.29  % TRYING [1]
% 0.18/0.29  % (246415) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-246404-246415"...
% 0.18/0.29  % (246412) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-246404-246412"...
% 0.18/0.29  % TRYING [2]
% 0.18/0.29  % (246413) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-246404-246413"...
% 0.18/0.29  % (246415)...printing done.
% 0.18/0.29  % (246412)...printing done.
% 0.18/0.29  % (246411) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-246404-246411"...
% 0.18/0.29  % (246412)Refutation found. Thanks to Tanya!
% 0.18/0.29  % SZS status Theorem for theBenchmark
% 0.18/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.29  % (246412)------------------------------
% 0.18/0.29  % (246412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29  % (246412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29  % (246412)CaDiCaL version: 2.1.3
% 0.18/0.29  % (246412)Termination reason: Refutation
% 0.18/0.29  % (246412)Time elapsed: 0.022 s
% 0.18/0.29  % (246412)Peak memory usage: 13 MB
% 0.18/0.29  % (246412)Instructions burned: 37 (million)
% 0.18/0.29  % (246404)Success in time 0.063 s
% 0.18/0.29  % Vampire exiting
%------------------------------------------------------------------------------