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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV038+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 01:07:58 PM UTC 2026

% Result   : Theorem 3.72s 1.18s
% Output   : Refutation 4.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  192 (  19 unt;   4 def)
%            Number of atoms       : 1574 ( 430 equ)
%            Maximal formula atoms :   59 (   8 avg)
%            Number of connectives : 2272 ( 890   ~;1143   |; 209   &)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  25 con; 0-3 aty)
%            Number of variables   :   75 (  50   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).

fof(f53,conjecture,
    ( ( 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(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & ! [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
      & ( n0 != pv1413
       => ( 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(s_best7,n3)
          & leq(s_sworst7,n3)
          & leq(s_worst7,n3)
          & ! [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 ) ) ) )
      & ( n0 = pv1413
       => true ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0065) ).

fof(f54,negated_conjecture,
    ~ ( ( 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(s_best7,n3)
        & leq(s_sworst7,n3)
        & leq(s_worst7,n3)
        & ! [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
        & ( n0 != pv1413
         => ( 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(s_best7,n3)
            & leq(s_sworst7,n3)
            & leq(s_worst7,n3)
            & ! [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 ) ) ) )
        & ( n0 = pv1413
         => true ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f87,plain,
    ( ( init != init
      | ( ( init != init
          | s_best7_init != init
          | init != s_sworst7_init
          | init != s_worst7_init
          | ~ leq(n0,s_best7)
          | ~ leq(n0,s_sworst7)
          | ~ leq(n0,s_worst7)
          | ~ leq(s_best7,n3)
          | ~ leq(s_sworst7,n3)
          | ~ leq(s_worst7,n3)
          | ? [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) ) )
        & n0 != pv1413 )
      | ( ~ true
        & n0 = pv1413 ) )
    & 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(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & ! [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(f88,plain,
    ( ( init != init
      | ( ( init != init
          | s_best7_init != init
          | init != s_sworst7_init
          | init != s_worst7_init
          | ~ leq(n0,s_best7)
          | ~ leq(n0,s_sworst7)
          | ~ leq(n0,s_worst7)
          | ~ leq(s_best7,n3)
          | ~ leq(s_sworst7,n3)
          | ~ leq(s_worst7,n3)
          | ? [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) ) )
        & n0 != pv1413 )
      | ( ~ true
        & n0 = pv1413 ) )
    & 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(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & ! [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,[],[f87]) ).

fof(f107,definition,
    ( ? [X5] :
        ( ? [X6] :
            ( init != a_select3(simplex7_init,X6,X5)
            & leq(n0,X6)
            & leq(X6,n3) )
        & leq(n0,X5)
        & leq(X5,n2) )
    | ~ sP0 ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f108,definition,
    ( ? [X9] :
        ( init != a_select2(s_try7_init,X9)
        & leq(n0,X9)
        & leq(X9,minus(n3,n1)) )
    | ~ sP1 ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f109,definition,
    ( ? [X8] :
        ( init != a_select2(s_center7_init,X8)
        & leq(n0,X8)
        & leq(X8,n2) )
    | ~ sP2 ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f110,definition,
    ( ( ( init != init
        | s_best7_init != init
        | init != s_sworst7_init
        | init != s_worst7_init
        | ~ leq(n0,s_best7)
        | ~ leq(n0,s_sworst7)
        | ~ leq(n0,s_worst7)
        | ~ leq(s_best7,n3)
        | ~ leq(s_sworst7,n3)
        | ~ leq(s_worst7,n3)
        | sP0
        | ? [X7] :
            ( init != a_select2(s_values7_init,X7)
            & leq(n0,X7)
            & leq(X7,n3) )
        | sP2
        | sP1
        | ( ( init != pvar1400_init
            | init != pvar1401_init
            | init != pvar1402_init )
          & gt(loopcounter,n1) ) )
      & n0 != pv1413 )
    | ~ sP3 ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f111,plain,
    ( ( init != init
      | sP3
      | ( ~ true
        & n0 = pv1413 ) )
    & 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(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & ! [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,[],[f88,f110,f109,f108,f107]) ).

fof(f112,plain,
    ( ( ( init != init
        | s_best7_init != init
        | init != s_sworst7_init
        | init != s_worst7_init
        | ~ leq(n0,s_best7)
        | ~ leq(n0,s_sworst7)
        | ~ leq(n0,s_worst7)
        | ~ leq(s_best7,n3)
        | ~ leq(s_sworst7,n3)
        | ~ leq(s_worst7,n3)
        | sP0
        | ? [X7] :
            ( init != a_select2(s_values7_init,X7)
            & leq(n0,X7)
            & leq(X7,n3) )
        | sP2
        | sP1
        | ( ( init != pvar1400_init
            | init != pvar1401_init
            | init != pvar1402_init )
          & gt(loopcounter,n1) ) )
      & n0 != pv1413 )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f110]) ).

fof(f113,plain,
    ( ( ( init != init
        | s_best7_init != init
        | init != s_sworst7_init
        | init != s_worst7_init
        | ~ leq(n0,s_best7)
        | ~ leq(n0,s_sworst7)
        | ~ leq(n0,s_worst7)
        | ~ leq(s_best7,n3)
        | ~ leq(s_sworst7,n3)
        | ~ leq(s_worst7,n3)
        | sP0
        | ? [X0] :
            ( init != a_select2(s_values7_init,X0)
            & leq(n0,X0)
            & leq(X0,n3) )
        | sP2
        | sP1
        | ( ( init != pvar1400_init
            | init != pvar1401_init
            | init != pvar1402_init )
          & gt(loopcounter,n1) ) )
      & n0 != pv1413 )
    | ~ sP3 ),
    inference(rectify,[],[f112]) ).

fof(f114,plain,
    ( ( ( init != init
        | s_best7_init != init
        | init != s_sworst7_init
        | init != s_worst7_init
        | ~ leq(n0,s_best7)
        | ~ leq(n0,s_sworst7)
        | ~ leq(n0,s_worst7)
        | ~ leq(s_best7,n3)
        | ~ leq(s_sworst7,n3)
        | ~ leq(s_worst7,n3)
        | sP0
        | ( init != a_select2(s_values7_init,sK4)
          & leq(n0,sK4)
          & leq(sK4,n3) )
        | sP2
        | sP1
        | ( ( init != pvar1400_init
            | init != pvar1401_init
            | init != pvar1402_init )
          & gt(loopcounter,n1) ) )
      & n0 != pv1413 )
    | ~ sP3 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f113]) ).

fof(f115,plain,
    ( ? [X8] :
        ( init != a_select2(s_center7_init,X8)
        & leq(n0,X8)
        & leq(X8,n2) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f109]) ).

fof(f116,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(n0,X0)
        & leq(X0,n2) )
    | ~ sP2 ),
    inference(rectify,[],[f115]) ).

fof(f117,plain,
    ( ( init != a_select2(s_center7_init,sK5)
      & leq(n0,sK5)
      & leq(sK5,n2) )
    | ~ sP2 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f116]) ).

fof(f118,plain,
    ( ? [X9] :
        ( init != a_select2(s_try7_init,X9)
        & leq(n0,X9)
        & leq(X9,minus(n3,n1)) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f108]) ).

fof(f119,plain,
    ( ? [X0] :
        ( init != a_select2(s_try7_init,X0)
        & leq(n0,X0)
        & leq(X0,minus(n3,n1)) )
    | ~ sP1 ),
    inference(rectify,[],[f118]) ).

fof(f120,plain,
    ( ( init != a_select2(s_try7_init,sK6)
      & leq(n0,sK6)
      & leq(sK6,minus(n3,n1)) )
    | ~ sP1 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f119]) ).

fof(f121,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( init != a_select3(simplex7_init,X6,X5)
            & leq(n0,X6)
            & leq(X6,n3) )
        & leq(n0,X5)
        & leq(X5,n2) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f107]) ).

fof(f122,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(n0,X1)
            & leq(X1,n3) )
        & leq(n0,X0)
        & leq(X0,n2) )
    | ~ sP0 ),
    inference(rectify,[],[f121]) ).

fof(f123,plain,
    ( ( init != a_select3(simplex7_init,sK8,sK7)
      & leq(n0,sK8)
      & leq(sK8,n3)
      & leq(n0,sK7)
      & leq(sK7,n2) )
    | ~ sP0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f122]) ).

fof(f128,plain,
    ( init != init
    | s_best7_init != init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f129,plain,
    ( init != init
    | s_best7_init != init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init
    | ~ sP3 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f130,plain,
    ( init != init
    | s_best7_init != init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f131,plain,
    ( init != init
    | s_best7_init != init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init
    | ~ sP3 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f132,plain,
    ( init != init
    | s_best7_init != init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f133,plain,
    ( init != init
    | s_best7_init != init
    | init != s_sworst7_init
    | init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init
    | ~ sP3 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f134,plain,
    ( leq(sK5,n2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f135,plain,
    ( leq(n0,sK5)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f136,plain,
    ( init != a_select2(s_center7_init,sK5)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f137,plain,
    ( leq(sK6,minus(n3,n1))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f138,plain,
    ( leq(n0,sK6)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f139,plain,
    ( init != a_select2(s_try7_init,sK6)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f140,plain,
    ( leq(sK7,n2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f141,plain,
    ( leq(n0,sK7)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f142,plain,
    ( leq(sK8,n3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f143,plain,
    ( leq(n0,sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f144,plain,
    ( init != a_select3(simplex7_init,sK8,sK7)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f145,plain,
    ( init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f146,plain,
    ( init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f147,plain,
    ( init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f148,plain,
    ! [X4] :
      ( init = a_select2(s_try7_init,X4)
      | ~ leq(n0,X4)
      | ~ leq(X4,minus(n3,n1)) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f149,plain,
    ! [X3] :
      ( init = a_select2(s_center7_init,X3)
      | ~ leq(n0,X3)
      | ~ leq(X3,n2) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f150,plain,
    ! [X2] :
      ( init = a_select2(s_values7_init,X2)
      | ~ leq(n0,X2)
      | ~ leq(X2,n3) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( init = a_select3(simplex7_init,X1,X0)
      | ~ leq(n0,X1)
      | ~ leq(X1,n3)
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f152,plain,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f111]) ).

fof(f153,plain,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f111]) ).

fof(f154,plain,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f111]) ).

fof(f155,plain,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f111]) ).

fof(f156,plain,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f111]) ).

fof(f157,plain,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f111]) ).

fof(f158,plain,
    init = s_worst7_init,
    inference(cnf_transformation,[],[f111]) ).

fof(f159,plain,
    init = s_sworst7_init,
    inference(cnf_transformation,[],[f111]) ).

fof(f160,plain,
    s_best7_init = init,
    inference(cnf_transformation,[],[f111]) ).

fof(f162,plain,
    ( init != init
    | sP3
    | ~ true ),
    inference(cnf_transformation,[],[f111]) ).

fof(f171,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

fof(f197,plain,
    s_best7_init = s_sworst7_init,
    inference(definition_unfolding,[],[f160,f159]) ).

fof(f198,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(definition_unfolding,[],[f133,f159,f159,f197,f159,f159,f159,f159,f159,f159,f159]) ).

fof(f199,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(definition_unfolding,[],[f132,f159,f159,f197,f159,f159,f159,f159]) ).

fof(f200,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(definition_unfolding,[],[f131,f159,f159,f197,f159,f159,f159,f159,f159,f159]) ).

fof(f201,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(definition_unfolding,[],[f130,f159,f159,f197,f159,f159,f159]) ).

fof(f202,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(definition_unfolding,[],[f129,f159,f159,f197,f159,f159,f159,f159,f159,f159]) ).

fof(f203,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(definition_unfolding,[],[f128,f159,f159,f197,f159,f159,f159]) ).

fof(f204,plain,
    ( s_sworst7_init != a_select2(s_center7_init,sK5)
    | ~ sP2 ),
    inference(definition_unfolding,[],[f136,f159]) ).

fof(f205,plain,
    ( s_sworst7_init != a_select2(s_try7_init,sK6)
    | ~ sP1 ),
    inference(definition_unfolding,[],[f139,f159]) ).

fof(f206,plain,
    ( s_sworst7_init != a_select3(simplex7_init,sK8,sK7)
    | ~ sP0 ),
    inference(definition_unfolding,[],[f144,f159]) ).

fof(f207,plain,
    ( s_sworst7_init != s_sworst7_init
    | sP3
    | ~ true ),
    inference(definition_unfolding,[],[f162,f159,f159]) ).

fof(f209,plain,
    s_sworst7_init = s_worst7_init,
    inference(definition_unfolding,[],[f158,f159]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( s_sworst7_init = a_select3(simplex7_init,X1,X0)
      | ~ leq(n0,X1)
      | ~ leq(X1,n3)
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(definition_unfolding,[],[f151,f159]) ).

fof(f211,plain,
    ! [X2] :
      ( s_sworst7_init = a_select2(s_values7_init,X2)
      | ~ leq(n0,X2)
      | ~ leq(X2,n3) ),
    inference(definition_unfolding,[],[f150,f159]) ).

fof(f212,plain,
    ! [X3] :
      ( s_sworst7_init = a_select2(s_center7_init,X3)
      | ~ leq(n0,X3)
      | ~ leq(X3,n2) ),
    inference(definition_unfolding,[],[f149,f159]) ).

fof(f213,plain,
    ! [X4] :
      ( s_sworst7_init = a_select2(s_try7_init,X4)
      | ~ leq(n0,X4)
      | ~ leq(X4,minus(n3,n1)) ),
    inference(definition_unfolding,[],[f148,f159]) ).

fof(f214,plain,
    ( s_sworst7_init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f147,f159]) ).

fof(f215,plain,
    ( s_sworst7_init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f146,f159]) ).

fof(f216,plain,
    ( s_sworst7_init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f145,f159]) ).

fof(f222,plain,
    ( sP3
    | ~ true ),
    inference(trivial_inequality_removal,[],[f207]) ).

fof(f223,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f203]) ).

fof(f224,plain,
    ( s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(trivial_inequality_removal,[],[f223]) ).

fof(f225,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f202]) ).

fof(f226,plain,
    ( s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(trivial_inequality_removal,[],[f225]) ).

fof(f227,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f228,plain,
    ( s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(trivial_inequality_removal,[],[f227]) ).

fof(f229,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f230,plain,
    ( s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(trivial_inequality_removal,[],[f229]) ).

fof(f231,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f199]) ).

fof(f232,plain,
    ( s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(trivial_inequality_removal,[],[f231]) ).

fof(f233,plain,
    ( s_sworst7_init != s_sworst7_init
    | s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f234,plain,
    ( s_sworst7_init != s_worst7_init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(trivial_inequality_removal,[],[f233]) ).

fof(f238,plain,
    ( s_worst7_init != a_select2(s_center7_init,sK5)
    | ~ sP2 ),
    inference(forward_demodulation,[],[f204,f209]) ).

fof(f239,plain,
    ( s_worst7_init != a_select2(s_try7_init,sK6)
    | ~ sP1 ),
    inference(forward_demodulation,[],[f205,f209]) ).

fof(f240,plain,
    ( ~ gt(loopcounter,n1)
    | s_worst7_init = pvar1400_init ),
    inference(forward_demodulation,[],[f214,f209]) ).

fof(f241,plain,
    ( ~ gt(loopcounter,n1)
    | s_worst7_init = pvar1401_init ),
    inference(forward_demodulation,[],[f215,f209]) ).

fof(f242,plain,
    ( ~ gt(loopcounter,n1)
    | s_worst7_init = pvar1402_init ),
    inference(forward_demodulation,[],[f216,f209]) ).

fof(f243,plain,
    ( s_worst7_init != a_select3(simplex7_init,sK8,sK7)
    | ~ sP0 ),
    inference(forward_demodulation,[],[f206,f209]) ).

fof(f244,plain,
    ! [X2] :
      ( s_worst7_init = a_select2(s_values7_init,X2)
      | ~ leq(n0,X2)
      | ~ leq(X2,n3) ),
    inference(forward_demodulation,[],[f211,f209]) ).

fof(f245,plain,
    ! [X3] :
      ( s_worst7_init = a_select2(s_center7_init,X3)
      | ~ leq(n0,X3)
      | ~ leq(X3,n2) ),
    inference(forward_demodulation,[],[f212,f209]) ).

fof(f246,plain,
    ( s_worst7_init != s_worst7_init
    | ~ sP2
    | ~ leq(n0,sK5)
    | ~ leq(sK5,n2) ),
    inference(superposition,[],[f238,f245]) ).

fof(f247,plain,
    ( ~ leq(sK5,n2)
    | ~ leq(n0,sK5)
    | ~ sP2 ),
    inference(trivial_inequality_removal,[],[f246]) ).

fof(f248,plain,
    ! [X4] :
      ( ~ leq(X4,minus(n3,n1))
      | ~ leq(n0,X4)
      | s_worst7_init = a_select2(s_try7_init,X4) ),
    inference(forward_demodulation,[],[f213,f209]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( s_worst7_init = a_select3(simplex7_init,X1,X0)
      | ~ leq(n0,X1)
      | ~ leq(X1,n3)
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(forward_demodulation,[],[f210,f209]) ).

fof(f250,plain,
    ( s_worst7_init != s_worst7_init
    | ~ sP0
    | ~ leq(n0,sK8)
    | ~ leq(sK8,n3)
    | ~ leq(n0,sK7)
    | ~ leq(sK7,n2) ),
    inference(superposition,[],[f243,f249]) ).

fof(f251,plain,
    ( ~ leq(sK8,n3)
    | ~ leq(n0,sK8)
    | ~ sP0
    | ~ leq(n0,sK7)
    | ~ leq(sK7,n2) ),
    inference(trivial_inequality_removal,[],[f250]) ).

fof(f256,plain,
    ( ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f224,f209]) ).

fof(f257,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f256,f157]) ).

fof(f258,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f257,f156]) ).

fof(f259,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f258,f155]) ).

fof(f260,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f259,f154]) ).

fof(f261,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f260,f153]) ).

fof(f262,plain,
    ( leq(sK4,n3)
    | sP0
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f261,f152]) ).

fof(f263,plain,
    ( ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f228,f209]) ).

fof(f264,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f263,f157]) ).

fof(f265,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f264,f156]) ).

fof(f266,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f265,f155]) ).

fof(f267,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f266,f154]) ).

fof(f268,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f267,f153]) ).

fof(f269,plain,
    ( leq(n0,sK4)
    | sP0
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f268,f152]) ).

fof(f271,plain,
    ( ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f232,f209]) ).

fof(f272,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f271,f157]) ).

fof(f273,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f272,f156]) ).

fof(f274,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f273,f155]) ).

fof(f275,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f274,f154]) ).

fof(f276,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f275,f153]) ).

fof(f277,plain,
    ( sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f276,f152]) ).

fof(f278,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK4)
    | sP0
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3 ),
    inference(forward_demodulation,[],[f277,f209]) ).

fof(f279,plain,
    ( s_worst7_init != s_worst7_init
    | sP0
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3
    | ~ leq(n0,sK4)
    | ~ leq(sK4,n3) ),
    inference(superposition,[],[f278,f244]) ).

fof(f280,plain,
    ( sP0
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3
    | ~ leq(n0,sK4)
    | ~ leq(sK4,n3) ),
    inference(trivial_inequality_removal,[],[f279]) ).

fof(f281,plain,
    ( sP0
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ sP3
    | ~ leq(sK4,n3) ),
    inference(forward_subsumption_resolution,[],[f280,f269]) ).

fof(f282,plain,
    ( gt(loopcounter,n1)
    | sP2
    | sP1
    | sP0
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f281,f262]) ).

fof(f283,plain,
    ( ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f226,f209]) ).

fof(f284,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f283,f157]) ).

fof(f285,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f284,f156]) ).

fof(f286,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f285,f155]) ).

fof(f287,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f286,f154]) ).

fof(f288,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f287,f153]) ).

fof(f289,plain,
    ( sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f288,f152]) ).

fof(f290,plain,
    ( s_worst7_init != pvar1400_init
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_demodulation,[],[f289,f209]) ).

fof(f291,plain,
    ( s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_demodulation,[],[f290,f209]) ).

fof(f292,plain,
    ( s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | ~ sP3 ),
    inference(forward_demodulation,[],[f291,f209]) ).

fof(f293,plain,
    ( s_worst7_init = pvar1402_init
    | sP1
    | sP0
    | ~ sP3
    | sP2 ),
    inference(resolution,[],[f282,f242]) ).

fof(f294,plain,
    ( s_worst7_init = pvar1401_init
    | sP1
    | sP0
    | ~ sP3
    | sP2 ),
    inference(resolution,[],[f282,f241]) ).

fof(f295,plain,
    ( s_worst7_init = pvar1400_init
    | sP1
    | sP0
    | ~ sP3
    | sP2 ),
    inference(resolution,[],[f282,f240]) ).

fof(f296,plain,
    ( s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f292,f293]) ).

fof(f301,plain,
    ( s_worst7_init != pvar1400_init
    | sP0
    | leq(sK4,n3)
    | sP2
    | sP1
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f296,f294]) ).

fof(f310,plain,
    ( leq(sK4,n3)
    | sP0
    | sP2
    | sP1
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f301,f295]) ).

fof(f311,plain,
    ( ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f230,f209]) ).

fof(f312,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f311,f157]) ).

fof(f313,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f312,f156]) ).

fof(f314,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f313,f155]) ).

fof(f315,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f314,f154]) ).

fof(f316,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f315,f153]) ).

fof(f317,plain,
    ( sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f316,f152]) ).

fof(f318,plain,
    ( s_worst7_init != pvar1400_init
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_demodulation,[],[f317,f209]) ).

fof(f319,plain,
    ( sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f318,f295]) ).

fof(f320,plain,
    ( s_worst7_init != pvar1401_init
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_demodulation,[],[f319,f209]) ).

fof(f321,plain,
    ( sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f320,f294]) ).

fof(f322,plain,
    ( s_worst7_init != pvar1402_init
    | sP0
    | leq(n0,sK4)
    | sP2
    | sP1
    | ~ sP3 ),
    inference(forward_demodulation,[],[f321,f209]) ).

fof(f323,plain,
    ( leq(n0,sK4)
    | sP0
    | sP2
    | sP1
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f322,f293]) ).

fof(f325,plain,
    ( ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f234,f209]) ).

fof(f326,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f325,f157]) ).

fof(f327,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f326,f156]) ).

fof(f328,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f327,f155]) ).

fof(f329,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f328,f154]) ).

fof(f330,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f329,f153]) ).

fof(f331,plain,
    ( sP0
    | s_sworst7_init != a_select2(s_values7_init,sK4)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f330,f152]) ).

fof(f332,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK4)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_demodulation,[],[f331,f209]) ).

fof(f333,plain,
    ( s_worst7_init != pvar1400_init
    | s_worst7_init != a_select2(s_values7_init,sK4)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_demodulation,[],[f332,f209]) ).

fof(f334,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK4)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f333,f295]) ).

fof(f335,plain,
    ( s_worst7_init != pvar1401_init
    | s_worst7_init != a_select2(s_values7_init,sK4)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_demodulation,[],[f334,f209]) ).

fof(f336,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK4)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f335,f294]) ).

fof(f337,plain,
    ( s_worst7_init != pvar1402_init
    | s_worst7_init != a_select2(s_values7_init,sK4)
    | sP0
    | sP2
    | sP1
    | ~ sP3 ),
    inference(forward_demodulation,[],[f336,f209]) ).

fof(f338,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK4)
    | sP0
    | sP2
    | sP1
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f337,f293]) ).

fof(f343,plain,
    ( s_worst7_init != s_worst7_init
    | sP0
    | sP2
    | sP1
    | ~ sP3
    | ~ leq(n0,sK4)
    | ~ leq(sK4,n3) ),
    inference(superposition,[],[f338,f244]) ).

fof(f344,plain,
    ( sP0
    | sP2
    | sP1
    | ~ sP3
    | ~ leq(n0,sK4)
    | ~ leq(sK4,n3) ),
    inference(trivial_inequality_removal,[],[f343]) ).

fof(f345,plain,
    ( sP0
    | sP2
    | sP1
    | ~ sP3
    | ~ leq(sK4,n3) ),
    inference(forward_subsumption_resolution,[],[f344,f323]) ).

fof(f346,plain,
    ( sP2
    | sP0
    | sP1
    | ~ sP3 ),
    inference(forward_subsumption_resolution,[],[f345,f310]) ).

fof(f348,plain,
    ( ~ sP2
    | ~ leq(n0,sK5)
    | ~ sP2 ),
    inference(resolution,[],[f134,f247]) ).

fof(f349,plain,
    ( ~ leq(n0,sK5)
    | ~ sP2 ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f351,plain,
    ~ sP2,
    inference(forward_subsumption_resolution,[],[f135,f349]) ).

fof(f352,plain,
    ( sP1
    | sP0
    | ~ sP3 ),
    inference(resolution,[],[f351,f346]) ).

fof(f355,plain,
    ( ~ sP0
    | ~ leq(n0,sK8)
    | ~ sP0
    | ~ leq(n0,sK7)
    | ~ leq(sK7,n2) ),
    inference(resolution,[],[f142,f251]) ).

fof(f356,plain,
    ( ~ sP0
    | ~ leq(n0,sK8)
    | ~ leq(n0,sK7)
    | ~ leq(sK7,n2) ),
    inference(duplicate_literal_removal,[],[f355]) ).

fof(f357,plain,
    ( ~ sP0
    | ~ leq(n0,sK8)
    | ~ leq(sK7,n2) ),
    inference(forward_subsumption_resolution,[],[f356,f141]) ).

fof(f358,plain,
    ( ~ leq(n0,sK8)
    | ~ sP0 ),
    inference(forward_subsumption_resolution,[],[f357,f140]) ).

fof(f360,plain,
    ~ sP0,
    inference(forward_subsumption_resolution,[],[f143,f358]) ).

fof(f366,plain,
    ( ~ sP1
    | ~ leq(n0,sK6)
    | s_worst7_init = a_select2(s_try7_init,sK6) ),
    inference(resolution,[],[f137,f248]) ).

fof(f367,plain,
    ( ~ sP1
    | s_worst7_init = a_select2(s_try7_init,sK6) ),
    inference(forward_subsumption_resolution,[],[f366,f138]) ).

fof(f368,plain,
    ~ sP1,
    inference(forward_subsumption_resolution,[],[f367,f239]) ).

fof(f375,plain,
    ( sP0
    | ~ sP3 ),
    inference(resolution,[],[f368,f352]) ).

fof(f376,plain,
    ~ sP3,
    inference(forward_subsumption_resolution,[],[f375,f360]) ).

fof(f377,plain,
    ~ true,
    inference(resolution,[],[f376,f222]) ).

fof(f378,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f377,f171]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV038+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n007.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 09:41:25 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.72/1.18  % (2280067)Detected formulas, will run a generic FOF schedule.
% 3.72/1.18  % (2280181)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1361537644:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.72/1.18  % (2280181)Instruction limit reached! 
% 3.72/1.18  % (2280181)------------------------------
% 3.72/1.18  % (2280181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.18  % (2280181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.18  % (2280181)CaDiCaL version: 2.1.3
% 3.72/1.18  % (2280181)Termination reason: Instruction limit
% 3.72/1.18  % (2280181)Termination phase: Saturation
% 3.72/1.18  % (2280181)Time elapsed: 0.037 s
% 3.72/1.18  % (2280181)Peak memory usage: 89 MB
% 3.72/1.18  % (2280181)Instructions burned: 111 (million)
% 3.72/1.18  % (2280180)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3582794473:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.72/1.18  % (2280179)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3382553036:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.72/1.18  % (2280184)dis-21_1_sil=8000:lcm=predicate:random_seed=3535589477:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.72/1.18  % (2280182)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2603806334:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.72/1.18  % (2280183)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3533632188:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.72/1.18  % (2280182)First to succeed.
% 3.72/1.18  % (2280184)Also succeeded, but the first one will report.
% 3.72/1.18  % (2280178)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2451658299:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.72/1.18  % (2280182)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2280067"
% 3.72/1.18  % (2280183)Instruction limit reached! 
% 3.72/1.18  % (2280183)------------------------------
% 3.72/1.18  % (2280183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.18  % (2280183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.18  % (2280183)CaDiCaL version: 2.1.3
% 3.72/1.18  % (2280183)Termination reason: Instruction limit
% 3.72/1.18  % (2280183)Termination phase: Saturation
% 3.72/1.18  % (2280183)Time elapsed: 0.093 s
% 3.72/1.18  % (2280183)Peak memory usage: 89 MB
% 3.72/1.18  % (2280183)Instructions burned: 140 (million)
% 3.72/1.18  % (2280186)lrs+10_1_sil=8000:sp=occurrence:random_seed=2982401152:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.72/1.18  % (2280186)Also succeeded, but the first one will report.
% 3.72/1.18  % (2280182)Refutation found. Thanks to Tanya!
% 3.72/1.18  % SZS status Theorem for theBenchmark
% 3.72/1.18  % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.46  % (2280182)------------------------------
% 4.20/1.46  % (2280182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.46  % (2280182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.46  % (2280182)CaDiCaL version: 2.1.3
% 4.20/1.46  % (2280182)Termination reason: Refutation
% 4.20/1.46  % (2280182)Time elapsed: 0.010 s
% 4.20/1.46  % (2280182)Peak memory usage: 88 MB
% 4.20/1.46  % (2280182)Instructions burned: 16 (million)
% 4.20/1.46  % (2280182)------------------------------
% 4.20/1.46  % (2280182)------------------------------
% 4.20/1.46  % (2280067)Success in time 0.498 s
% 4.20/1.46  % Vampire exiting
%------------------------------------------------------------------------------