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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV039+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 : n019.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 3.04s 1.08s
% Output   : Refutation 3.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  205 (  23 unt;   3 def)
%            Number of atoms       : 1501 ( 410 equ)
%            Maximal formula atoms :   51 (   7 avg)
%            Number of connectives : 2053 ( 757   ~;1053   |; 216   &)
%                                         (   1 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  24 con; 0-3 aty)
%            Number of variables   :   96 (  72   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).

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 )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_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)
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n2) )
         => ! [X5] :
              ( ( leq(n0,X5)
                & leq(X5,n3) )
             => a_select3(simplex7_init,X5,X4) = init ) )
      & ! [X6] :
          ( ( leq(n0,X6)
            & leq(X6,n3) )
         => a_select2(s_values7_init,X6) = init )
      & ! [X7] :
          ( ( leq(n0,X7)
            & leq(X7,n2) )
         => a_select2(s_center7_init,X7) = init )
      & ! [X8] :
          ( ( leq(n0,X8)
            & leq(X8,minus(n0,n1)) )
         => a_select2(s_try7_init,X8) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0069) ).

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 )
        & ( gt(loopcounter,n1)
         => ( pvar1400_init = init
            & pvar1401_init = init
            & pvar1402_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)
        & ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,n2) )
           => ! [X5] :
                ( ( leq(n0,X5)
                  & leq(X5,n3) )
               => a_select3(simplex7_init,X5,X4) = init ) )
        & ! [X6] :
            ( ( leq(n0,X6)
              & leq(X6,n3) )
           => a_select2(s_values7_init,X6) = init )
        & ! [X7] :
            ( ( leq(n0,X7)
              & leq(X7,n2) )
           => a_select2(s_center7_init,X7) = init )
        & ! [X8] :
            ( ( leq(n0,X8)
              & leq(X8,minus(n0,n1)) )
           => a_select2(s_try7_init,X8) = init )
        & ( gt(loopcounter,n1)
         => ( pvar1400_init = init
            & pvar1401_init = init
            & pvar1402_init = init ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f78,axiom,
    ! [X0] :
      ( ( leq(n0,X0)
        & leq(X0,n0) )
     => X0 = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).

fof(f87,plain,
    ( ( 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)
      | ? [X4] :
          ( ? [X5] :
              ( init != a_select3(simplex7_init,X5,X4)
              & leq(n0,X5)
              & leq(X5,n3) )
          & leq(n0,X4)
          & leq(X4,n2) )
      | ? [X6] :
          ( init != a_select2(s_values7_init,X6)
          & leq(n0,X6)
          & leq(X6,n3) )
      | ? [X7] :
          ( init != a_select2(s_center7_init,X7)
          & leq(n0,X7)
          & leq(X7,n2) )
      | ? [X8] :
          ( init != a_select2(s_try7_init,X8)
          & leq(n0,X8)
          & leq(X8,minus(n0,n1)) )
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & 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) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f88,plain,
    ( ( 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)
      | ? [X4] :
          ( ? [X5] :
              ( init != a_select3(simplex7_init,X5,X4)
              & leq(n0,X5)
              & leq(X5,n3) )
          & leq(n0,X4)
          & leq(X4,n2) )
      | ? [X6] :
          ( init != a_select2(s_values7_init,X6)
          & leq(n0,X6)
          & leq(X6,n3) )
      | ? [X7] :
          ( init != a_select2(s_center7_init,X7)
          & leq(n0,X7)
          & leq(X7,n2) )
      | ? [X8] :
          ( init != a_select2(s_try7_init,X8)
          & leq(n0,X8)
          & leq(X8,minus(n0,n1)) )
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & 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) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(flattening,[],[f87]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f94,plain,
    ! [X0] :
      ( X0 = n0
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f95,plain,
    ! [X0] :
      ( X0 = n0
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(flattening,[],[f94]) ).

fof(f107,definition,
    ( ? [X4] :
        ( ? [X5] :
            ( init != a_select3(simplex7_init,X5,X4)
            & leq(n0,X5)
            & leq(X5,n3) )
        & leq(n0,X4)
        & leq(X4,n2) )
    | ~ sP0 ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f108,definition,
    ( ? [X8] :
        ( init != a_select2(s_try7_init,X8)
        & leq(n0,X8)
        & leq(X8,minus(n0,n1)) )
    | ~ sP1 ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f109,definition,
    ( ? [X7] :
        ( init != a_select2(s_center7_init,X7)
        & leq(n0,X7)
        & leq(X7,n2) )
    | ~ sP2 ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f110,plain,
    ( ( 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
      | ? [X6] :
          ( init != a_select2(s_values7_init,X6)
          & leq(n0,X6)
          & leq(X6,n3) )
      | sP2
      | sP1
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & 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) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(definition_folding,[],[f88,f109,f108,f107]) ).

fof(f111,plain,
    ( ? [X7] :
        ( init != a_select2(s_center7_init,X7)
        & leq(n0,X7)
        & leq(X7,n2) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f109]) ).

fof(f112,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(n0,X0)
        & leq(X0,n2) )
    | ~ sP2 ),
    inference(rectify,[],[f111]) ).

fof(f113,plain,
    ( ( init != a_select2(s_center7_init,sK3)
      & leq(n0,sK3)
      & leq(sK3,n2) )
    | ~ sP2 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f112]) ).

fof(f114,plain,
    ( ? [X8] :
        ( init != a_select2(s_try7_init,X8)
        & leq(n0,X8)
        & leq(X8,minus(n0,n1)) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f108]) ).

fof(f115,plain,
    ( ? [X0] :
        ( init != a_select2(s_try7_init,X0)
        & leq(n0,X0)
        & leq(X0,minus(n0,n1)) )
    | ~ sP1 ),
    inference(rectify,[],[f114]) ).

fof(f116,plain,
    ( ( init != a_select2(s_try7_init,sK4)
      & leq(n0,sK4)
      & leq(sK4,minus(n0,n1)) )
    | ~ sP1 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f115]) ).

fof(f117,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( init != a_select3(simplex7_init,X5,X4)
            & leq(n0,X5)
            & leq(X5,n3) )
        & leq(n0,X4)
        & leq(X4,n2) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f107]) ).

fof(f118,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,[],[f117]) ).

fof(f119,plain,
    ( ( init != a_select3(simplex7_init,sK6,sK5)
      & leq(n0,sK6)
      & leq(sK6,n3)
      & leq(n0,sK5)
      & leq(sK5,n2) )
    | ~ sP0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f118]) ).

fof(f120,plain,
    ( ( 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) ) )
    & 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)
    & ! [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) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(rectify,[],[f110]) ).

fof(f121,plain,
    ( ( 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,sK7)
        & leq(n0,sK7)
        & leq(sK7,n3) )
      | sP2
      | sP1
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & 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)
    & ! [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) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f120]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ( leq(X0,pred(X1))
        | ~ gt(X1,X0) )
      & ( gt(X1,X0)
        | ~ leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f125,plain,
    ( leq(sK3,n2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f126,plain,
    ( leq(n0,sK3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f127,plain,
    ( init != a_select2(s_center7_init,sK3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f128,plain,
    ( leq(sK4,minus(n0,n1))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f129,plain,
    ( leq(n0,sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f131,plain,
    ( leq(sK5,n2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f132,plain,
    ( leq(n0,sK5)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f133,plain,
    ( leq(sK6,n3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f134,plain,
    ( leq(n0,sK6)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f135,plain,
    ( init != a_select3(simplex7_init,sK6,sK5)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f136,plain,
    ( init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f137,plain,
    ( init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f138,plain,
    ( init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f139,plain,
    ! [X4] :
      ( init = a_select2(s_center7_init,X4)
      | ~ leq(n0,X4)
      | ~ leq(X4,n2) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f140,plain,
    ! [X3] :
      ( init = a_select2(s_values7_init,X3)
      | ~ leq(n0,X3)
      | ~ leq(X3,n3) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f141,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,[],[f121]) ).

fof(f142,plain,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f121]) ).

fof(f143,plain,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f121]) ).

fof(f144,plain,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f121]) ).

fof(f145,plain,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f121]) ).

fof(f146,plain,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f121]) ).

fof(f147,plain,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f121]) ).

fof(f148,plain,
    init = s_worst7_init,
    inference(cnf_transformation,[],[f121]) ).

fof(f149,plain,
    init = s_sworst7_init,
    inference(cnf_transformation,[],[f121]) ).

fof(f150,plain,
    s_best7_init = init,
    inference(cnf_transformation,[],[f121]) ).

fof(f151,plain,
    ( 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(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f152,plain,
    ( 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(sK7,n3)
    | sP2
    | sP1
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(cnf_transformation,[],[f121]) ).

fof(f153,plain,
    ( 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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f154,plain,
    ( 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,sK7)
    | sP2
    | sP1
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(cnf_transformation,[],[f121]) ).

fof(f155,plain,
    ( 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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f156,plain,
    ( 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,sK7)
    | sP2
    | sP1
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(cnf_transformation,[],[f121]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f159,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n0 = X0
      | ~ leq(X0,n0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f178,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(X0,pred(X1)) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f190,plain,
    s_best7_init = s_sworst7_init,
    inference(definition_unfolding,[],[f150,f149]) ).

fof(f191,plain,
    ( s_sworst7_init != a_select2(s_center7_init,sK3)
    | ~ sP2 ),
    inference(definition_unfolding,[],[f127,f149]) ).

fof(f193,plain,
    ( s_sworst7_init != a_select3(simplex7_init,sK6,sK5)
    | ~ sP0 ),
    inference(definition_unfolding,[],[f135,f149]) ).

fof(f194,plain,
    ( 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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(definition_unfolding,[],[f156,f190,f149,f149,f149,f149,f149,f149,f149]) ).

fof(f195,plain,
    ( 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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f155,f190,f149,f149,f149,f149]) ).

fof(f196,plain,
    ( 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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(definition_unfolding,[],[f154,f190,f149,f149,f149,f149,f149,f149]) ).

fof(f197,plain,
    ( 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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f153,f190,f149,f149,f149]) ).

fof(f198,plain,
    ( 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(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(definition_unfolding,[],[f152,f190,f149,f149,f149,f149,f149,f149]) ).

fof(f199,plain,
    ( 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(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f151,f190,f149,f149,f149]) ).

fof(f200,plain,
    s_sworst7_init = s_worst7_init,
    inference(definition_unfolding,[],[f148,f149]) ).

fof(f201,plain,
    ! [X2,X1] :
      ( s_sworst7_init = a_select3(simplex7_init,X2,X1)
      | ~ leq(n0,X2)
      | ~ leq(X2,n3)
      | ~ leq(n0,X1)
      | ~ leq(X1,n2) ),
    inference(definition_unfolding,[],[f141,f149]) ).

fof(f202,plain,
    ! [X3] :
      ( s_sworst7_init = a_select2(s_values7_init,X3)
      | ~ leq(n0,X3)
      | ~ leq(X3,n3) ),
    inference(definition_unfolding,[],[f140,f149]) ).

fof(f203,plain,
    ! [X4] :
      ( s_sworst7_init = a_select2(s_center7_init,X4)
      | ~ leq(n0,X4)
      | ~ leq(X4,n2) ),
    inference(definition_unfolding,[],[f139,f149]) ).

fof(f204,plain,
    ( s_sworst7_init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f138,f149]) ).

fof(f205,plain,
    ( s_sworst7_init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f137,f149]) ).

fof(f206,plain,
    ( s_sworst7_init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f136,f149]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ leq(X0,minus(X1,n1))
      | gt(X1,X0) ),
    inference(definition_unfolding,[],[f188,f178]) ).

fof(f211,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(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(duplicate_literal_removal,[],[f199]) ).

fof(f212,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(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(trivial_inequality_removal,[],[f211]) ).

fof(f213,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(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f214,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(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(trivial_inequality_removal,[],[f213]) ).

fof(f215,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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f216,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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(trivial_inequality_removal,[],[f215]) ).

fof(f217,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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(duplicate_literal_removal,[],[f196]) ).

fof(f218,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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(trivial_inequality_removal,[],[f217]) ).

fof(f219,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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(duplicate_literal_removal,[],[f195]) ).

fof(f220,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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(trivial_inequality_removal,[],[f219]) ).

fof(f221,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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f222,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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(trivial_inequality_removal,[],[f221]) ).

fof(f223,plain,
    ( s_worst7_init != a_select2(s_center7_init,sK3)
    | ~ sP2 ),
    inference(forward_demodulation,[],[f191,f200]) ).

fof(f225,plain,
    ( ~ gt(loopcounter,n1)
    | s_worst7_init = pvar1400_init ),
    inference(forward_demodulation,[],[f204,f200]) ).

fof(f226,plain,
    ( ~ gt(loopcounter,n1)
    | s_worst7_init = pvar1401_init ),
    inference(forward_demodulation,[],[f205,f200]) ).

fof(f227,plain,
    ( ~ gt(loopcounter,n1)
    | s_worst7_init = pvar1402_init ),
    inference(forward_demodulation,[],[f206,f200]) ).

fof(f228,plain,
    ( s_worst7_init != a_select3(simplex7_init,sK6,sK5)
    | ~ sP0 ),
    inference(forward_demodulation,[],[f193,f200]) ).

fof(f229,plain,
    ! [X3] :
      ( s_worst7_init = a_select2(s_values7_init,X3)
      | ~ leq(n0,X3)
      | ~ leq(X3,n3) ),
    inference(forward_demodulation,[],[f202,f200]) ).

fof(f230,plain,
    ! [X4] :
      ( s_worst7_init = a_select2(s_center7_init,X4)
      | ~ leq(n0,X4)
      | ~ leq(X4,n2) ),
    inference(forward_demodulation,[],[f203,f200]) ).

fof(f231,plain,
    ( s_worst7_init != s_worst7_init
    | ~ sP2
    | ~ leq(n0,sK3)
    | ~ leq(sK3,n2) ),
    inference(superposition,[],[f223,f230]) ).

fof(f232,plain,
    ( ~ leq(sK3,n2)
    | ~ leq(n0,sK3)
    | ~ sP2 ),
    inference(trivial_inequality_removal,[],[f231]) ).

fof(f233,plain,
    ! [X2,X1] :
      ( s_worst7_init = a_select3(simplex7_init,X2,X1)
      | ~ leq(n0,X2)
      | ~ leq(X2,n3)
      | ~ leq(n0,X1)
      | ~ leq(X1,n2) ),
    inference(forward_demodulation,[],[f201,f200]) ).

fof(f234,plain,
    ( s_worst7_init != s_worst7_init
    | ~ sP0
    | ~ leq(n0,sK6)
    | ~ leq(sK6,n3)
    | ~ leq(n0,sK5)
    | ~ leq(sK5,n2) ),
    inference(superposition,[],[f228,f233]) ).

fof(f235,plain,
    ( ~ leq(sK6,n3)
    | ~ leq(n0,sK6)
    | ~ sP0
    | ~ leq(n0,sK5)
    | ~ leq(sK5,n2) ),
    inference(trivial_inequality_removal,[],[f234]) ).

fof(f236,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(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f212,f200]) ).

fof(f237,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f236,f147]) ).

fof(f238,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f237,f146]) ).

fof(f239,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f238,f145]) ).

fof(f240,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f239,f144]) ).

fof(f241,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f240,f143]) ).

fof(f242,plain,
    ( leq(sK7,n3)
    | sP0
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f241,f142]) ).

fof(f243,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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f216,f200]) ).

fof(f244,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f243,f147]) ).

fof(f245,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f244,f146]) ).

fof(f246,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f245,f145]) ).

fof(f247,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f246,f144]) ).

fof(f248,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f247,f143]) ).

fof(f249,plain,
    ( leq(n0,sK7)
    | sP0
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f248,f142]) ).

fof(f250,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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f220,f200]) ).

fof(f251,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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f250,f147]) ).

fof(f252,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,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f251,f146]) ).

fof(f253,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f252,f145]) ).

fof(f254,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f253,f144]) ).

fof(f255,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f254,f143]) ).

fof(f256,plain,
    ( sP0
    | s_sworst7_init != a_select2(s_values7_init,sK7)
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_subsumption_resolution,[],[f255,f142]) ).

fof(f257,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK7)
    | sP0
    | sP2
    | sP1
    | gt(loopcounter,n1) ),
    inference(forward_demodulation,[],[f256,f200]) ).

fof(f258,plain,
    ( s_worst7_init != s_worst7_init
    | sP0
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ leq(n0,sK7)
    | ~ leq(sK7,n3) ),
    inference(superposition,[],[f257,f229]) ).

fof(f259,plain,
    ( sP0
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ leq(n0,sK7)
    | ~ leq(sK7,n3) ),
    inference(trivial_inequality_removal,[],[f258]) ).

fof(f260,plain,
    ( sP0
    | sP2
    | sP1
    | gt(loopcounter,n1)
    | ~ leq(sK7,n3) ),
    inference(forward_subsumption_resolution,[],[f259,f249]) ).

fof(f261,plain,
    ( gt(loopcounter,n1)
    | sP2
    | sP1
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f260,f242]) ).

fof(f262,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(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f214,f200]) ).

fof(f263,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f262,f147]) ).

fof(f264,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f263,f146]) ).

fof(f265,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f264,f145]) ).

fof(f266,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f265,f144]) ).

fof(f267,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f266,f143]) ).

fof(f268,plain,
    ( sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f267,f142]) ).

fof(f269,plain,
    ( s_worst7_init != pvar1400_init
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_demodulation,[],[f268,f200]) ).

fof(f270,plain,
    ( s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init ),
    inference(forward_demodulation,[],[f269,f200]) ).

fof(f271,plain,
    ( s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1 ),
    inference(forward_demodulation,[],[f270,f200]) ).

fof(f272,plain,
    ( s_worst7_init = pvar1402_init
    | sP1
    | sP0
    | sP2 ),
    inference(resolution,[],[f261,f227]) ).

fof(f273,plain,
    ( s_worst7_init = pvar1401_init
    | sP1
    | sP0
    | sP2 ),
    inference(resolution,[],[f261,f226]) ).

fof(f274,plain,
    ( s_worst7_init = pvar1400_init
    | sP1
    | sP0
    | sP2 ),
    inference(resolution,[],[f261,f225]) ).

fof(f275,plain,
    ( pvar1402_init != pvar1402_init
    | pvar1401_init != pvar1402_init
    | pvar1400_init != pvar1402_init
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1
    | sP1
    | sP0
    | sP2 ),
    inference(superposition,[],[f271,f272]) ).

fof(f276,plain,
    ( pvar1402_init != pvar1402_init
    | pvar1401_init != pvar1402_init
    | pvar1400_init != pvar1402_init
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1 ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f277,plain,
    ( pvar1401_init != pvar1402_init
    | pvar1400_init != pvar1402_init
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1 ),
    inference(trivial_inequality_removal,[],[f276]) ).

fof(f279,plain,
    ( pvar1401_init = pvar1402_init
    | sP1
    | sP0
    | sP2
    | sP1
    | sP0
    | sP2 ),
    inference(superposition,[],[f272,f273]) ).

fof(f283,plain,
    ( pvar1401_init = pvar1402_init
    | sP1
    | sP0
    | sP2 ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f285,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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f218,f200]) ).

fof(f286,plain,
    ( ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f285,f147]) ).

fof(f287,plain,
    ( ~ leq(n0,s_worst7)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f286,f146]) ).

fof(f288,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f287,f145]) ).

fof(f289,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f288,f144]) ).

fof(f290,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f289,f143]) ).

fof(f291,plain,
    ( sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f290,f142]) ).

fof(f292,plain,
    ( s_worst7_init != pvar1400_init
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_demodulation,[],[f291,f200]) ).

fof(f293,plain,
    ( s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init ),
    inference(forward_demodulation,[],[f292,f200]) ).

fof(f294,plain,
    ( s_worst7_init != pvar1400_init
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f293,f273]) ).

fof(f295,plain,
    ( s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1400_init
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1 ),
    inference(forward_demodulation,[],[f294,f200]) ).

fof(f296,plain,
    ( s_worst7_init != pvar1400_init
    | sP0
    | leq(n0,sK7)
    | sP2
    | sP1 ),
    inference(forward_subsumption_resolution,[],[f295,f272]) ).

fof(f300,plain,
    ( pvar1400_init = pvar1402_init
    | sP1
    | sP0
    | sP2
    | sP1
    | sP0
    | sP2 ),
    inference(superposition,[],[f272,f274]) ).

fof(f304,plain,
    ( pvar1400_init = pvar1402_init
    | sP1
    | sP0
    | sP2 ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f308,plain,
    ( leq(n0,sK7)
    | sP0
    | sP2
    | sP1 ),
    inference(forward_subsumption_resolution,[],[f296,f274]) ).

fof(f309,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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f222,f200]) ).

fof(f310,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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f309,f147]) ).

fof(f311,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,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f310,f146]) ).

fof(f312,plain,
    ( ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f311,f145]) ).

fof(f313,plain,
    ( ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f312,f144]) ).

fof(f314,plain,
    ( ~ leq(s_worst7,n3)
    | sP0
    | s_sworst7_init != a_select2(s_values7_init,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f313,f143]) ).

fof(f315,plain,
    ( sP0
    | s_sworst7_init != a_select2(s_values7_init,sK7)
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f314,f142]) ).

fof(f316,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK7)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1400_init
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_demodulation,[],[f315,f200]) ).

fof(f317,plain,
    ( s_worst7_init != pvar1400_init
    | s_worst7_init != a_select2(s_values7_init,sK7)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_demodulation,[],[f316,f200]) ).

fof(f318,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK7)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1401_init
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f317,f274]) ).

fof(f319,plain,
    ( s_worst7_init != pvar1401_init
    | s_worst7_init != a_select2(s_values7_init,sK7)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init ),
    inference(forward_demodulation,[],[f318,f200]) ).

fof(f320,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK7)
    | sP0
    | sP2
    | sP1
    | s_sworst7_init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f319,f273]) ).

fof(f321,plain,
    ( s_worst7_init != pvar1402_init
    | s_worst7_init != a_select2(s_values7_init,sK7)
    | sP0
    | sP2
    | sP1 ),
    inference(forward_demodulation,[],[f320,f200]) ).

fof(f322,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK7)
    | sP0
    | sP2
    | sP1 ),
    inference(forward_subsumption_resolution,[],[f321,f272]) ).

fof(f323,plain,
    ( s_worst7_init != s_worst7_init
    | sP0
    | sP2
    | sP1
    | ~ leq(n0,sK7)
    | ~ leq(sK7,n3) ),
    inference(superposition,[],[f322,f229]) ).

fof(f324,plain,
    ( sP0
    | sP2
    | sP1
    | ~ leq(n0,sK7)
    | ~ leq(sK7,n3) ),
    inference(trivial_inequality_removal,[],[f323]) ).

fof(f325,plain,
    ( ~ leq(sK7,n3)
    | sP2
    | sP1
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f324,f308]) ).

fof(f332,plain,
    ( ~ sP2
    | ~ leq(n0,sK3)
    | ~ sP2 ),
    inference(resolution,[],[f125,f232]) ).

fof(f333,plain,
    ( ~ leq(n0,sK3)
    | ~ sP2 ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f334,plain,
    ~ sP2,
    inference(forward_subsumption_resolution,[],[f126,f333]) ).

fof(f336,plain,
    ( ~ sP0
    | ~ leq(n0,sK6)
    | ~ sP0
    | ~ leq(n0,sK5)
    | ~ leq(sK5,n2) ),
    inference(resolution,[],[f133,f235]) ).

fof(f337,plain,
    ( ~ sP0
    | ~ leq(n0,sK6)
    | ~ leq(n0,sK5)
    | ~ leq(sK5,n2) ),
    inference(duplicate_literal_removal,[],[f336]) ).

fof(f338,plain,
    ( ~ sP0
    | ~ leq(n0,sK6)
    | ~ leq(sK5,n2) ),
    inference(forward_subsumption_resolution,[],[f337,f132]) ).

fof(f339,plain,
    ( ~ leq(n0,sK6)
    | ~ sP0 ),
    inference(forward_subsumption_resolution,[],[f338,f131]) ).

fof(f340,plain,
    ~ sP0,
    inference(forward_subsumption_resolution,[],[f134,f339]) ).

fof(f341,plain,
    ( pvar1400_init != pvar1402_init
    | sP0
    | leq(sK7,n3)
    | sP2
    | sP1 ),
    inference(forward_subsumption_resolution,[],[f277,f283]) ).

fof(f342,plain,
    ( sP0
    | leq(sK7,n3)
    | sP2
    | sP1 ),
    inference(forward_subsumption_resolution,[],[f341,f304]) ).

fof(f343,plain,
    ( leq(sK7,n3)
    | sP2
    | sP1 ),
    inference(forward_subsumption_resolution,[],[f342,f340]) ).

fof(f344,plain,
    ( leq(sK7,n3)
    | sP1 ),
    inference(forward_subsumption_resolution,[],[f343,f334]) ).

fof(f345,plain,
    ( sP1
    | sP2
    | sP1
    | sP0 ),
    inference(resolution,[],[f344,f325]) ).

fof(f346,plain,
    ( sP1
    | sP2
    | sP0 ),
    inference(duplicate_literal_removal,[],[f345]) ).

fof(f347,plain,
    ( sP1
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f346,f334]) ).

fof(f348,plain,
    sP1,
    inference(forward_subsumption_resolution,[],[f347,f340]) ).

fof(f352,plain,
    leq(sK4,minus(n0,n1)),
    inference(forward_subsumption_resolution,[],[f128,f348]) ).

fof(f463,plain,
    gt(n0,sK4),
    inference(resolution,[],[f210,f352]) ).

fof(f516,plain,
    ( n0 = sK4
    | ~ leq(sK4,n0)
    | ~ sP1 ),
    inference(resolution,[],[f162,f129]) ).

fof(f521,plain,
    ( ~ leq(sK4,n0)
    | n0 = sK4 ),
    inference(forward_subsumption_resolution,[],[f516,f348]) ).

fof(f561,plain,
    ( n0 = sK4
    | ~ gt(n0,sK4) ),
    inference(resolution,[],[f521,f158]) ).

fof(f562,plain,
    n0 = sK4,
    inference(forward_subsumption_resolution,[],[f561,f463]) ).

fof(f595,plain,
    gt(sK4,sK4),
    inference(superposition,[],[f463,f562]) ).

fof(f599,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f595,f159]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV039+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 : n019.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 09:44:49 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  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
% 3.04/1.08  % (3889397)Detected formulas, will run a generic FOF schedule.
% 3.04/1.08  % (3889408)dis-21_1_sil=8000:lcm=predicate:random_seed=4251570483: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)
% 3.04/1.08  % (3889407)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2876113539:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.04/1.08  % (3889405)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3900517738:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.04/1.08  % (3889406)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1318834017:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.04/1.08  % (3889402)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=2815000279:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.04/1.08  % (3889404)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=2001616368:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.04/1.08  % (3889403)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=3503328782:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.04/1.08  % (3889408)Instruction limit reached! 
% 3.04/1.08  % (3889408)------------------------------
% 3.04/1.08  % (3889408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.08  % (3889408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.08  % (3889408)CaDiCaL version: 2.1.3
% 3.04/1.08  % (3889408)Termination reason: Instruction limit
% 3.04/1.08  % (3889408)Termination phase: Saturation
% 3.04/1.08  % (3889408)Time elapsed: 0.043 s
% 3.04/1.08  % (3889408)Peak memory usage: 89 MB
% 3.04/1.08  % (3889408)Instructions burned: 131 (million)
% 3.04/1.08  % (3889406)First to succeed.
% 3.04/1.08  % (3889406)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3889397"
% 3.04/1.08  % (3889405)Instruction limit reached! 
% 3.04/1.08  % (3889405)------------------------------
% 3.04/1.08  % (3889405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.08  % (3889405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.08  % (3889405)CaDiCaL version: 2.1.3
% 3.04/1.08  % (3889405)Termination reason: Instruction limit
% 3.04/1.08  % (3889405)Termination phase: Saturation
% 3.04/1.08  % (3889405)Time elapsed: 0.067 s
% 3.04/1.08  % (3889405)Peak memory usage: 89 MB
% 3.04/1.08  % (3889405)Instructions burned: 109 (million)
% 3.04/1.08  % (3889416)lrs+10_1_sil=8000:sp=occurrence:random_seed=2196019894:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.04/1.08  % (3889407)Instruction limit reached! 
% 3.04/1.08  % (3889407)------------------------------
% 3.04/1.08  % (3889407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.08  % (3889407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.08  % (3889407)CaDiCaL version: 2.1.3
% 3.04/1.08  % (3889407)Termination reason: Instruction limit
% 3.04/1.08  % (3889407)Termination phase: Saturation
% 3.04/1.08  % (3889407)Time elapsed: 0.095 s
% 3.04/1.08  % (3889407)Peak memory usage: 90 MB
% 3.04/1.08  % (3889407)Instructions burned: 140 (million)
% 3.04/1.08  % (3889416)Also succeeded, but the first one will report.
% 3.04/1.08  % (3889417)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4228974748:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.04/1.08  % (3889419)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1323642522:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.04/1.08  % (3889406)Refutation found. Thanks to Tanya!
% 3.04/1.08  % SZS status Theorem for theBenchmark
% 3.04/1.08  % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.17  % (3889406)------------------------------
% 3.50/1.17  % (3889406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.17  % (3889406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.17  % (3889406)CaDiCaL version: 2.1.3
% 3.50/1.17  % (3889406)Termination reason: Refutation
% 3.50/1.17  % (3889406)Time elapsed: 0.014 s
% 3.50/1.17  % (3889406)Peak memory usage: 88 MB
% 3.50/1.17  % (3889406)Instructions burned: 22 (million)
% 3.50/1.17  % (3889406)------------------------------
% 3.50/1.17  % (3889406)------------------------------
% 3.50/1.17  % (3889397)Success in time 0.418 s
% 3.50/1.17  % Vampire exiting
%------------------------------------------------------------------------------