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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV042+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 01:07:59 PM UTC 2026

% Result   : Theorem 2.92s 1.04s
% Output   : Refutation 3.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   81 (  11 unt;   2 def)
%            Number of atoms       :  445 ( 143 equ)
%            Maximal formula atoms :   30 (   5 avg)
%            Number of connectives :  546 ( 182   ~; 225   |; 117   &)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  16 con; 0-3 aty)
%            Number of variables   :   67 (  48   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,axiom,
    ! [X0] : plus(n1,X0) = succ(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).

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

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).

fof(f53,conjecture,
    ( ( ! [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,minus(plus(n1,n2),n1)) )
         => a_select2(s_center7_init,X3) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) )
   => ( ! [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 )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0081) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [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,minus(plus(n1,n2),n1)) )
           => a_select2(s_center7_init,X3) = init )
        & ( gt(loopcounter,n1)
         => ( pvar1400_init = init
            & pvar1401_init = init
            & pvar1402_init = init ) ) )
     => ( ! [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 )
        & ( gt(loopcounter,n1)
         => ( pvar1400_init = init
            & pvar1401_init = init
            & pvar1402_init = init ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f87,plain,
    ( ( ? [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) )
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & ! [X0] :
        ( ! [X1] :
            ( a_select3(simplex7_init,X1,X0) = init
            | ~ leq(n0,X1)
            | ~ leq(X1,n3) )
        | ~ leq(n0,X0)
        | ~ leq(X0,n2) )
    & ! [X2] :
        ( a_select2(s_values7_init,X2) = init
        | ~ leq(n0,X2)
        | ~ leq(X2,n3) )
    & ! [X3] :
        ( a_select2(s_center7_init,X3) = init
        | ~ leq(n0,X3)
        | ~ leq(X3,minus(plus(n1,n2),n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f88,plain,
    ( ( ? [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) )
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & ! [X0] :
        ( ! [X1] :
            ( a_select3(simplex7_init,X1,X0) = init
            | ~ leq(n0,X1)
            | ~ leq(X1,n3) )
        | ~ leq(n0,X0)
        | ~ leq(X0,n2) )
    & ! [X2] :
        ( a_select2(s_values7_init,X2) = init
        | ~ leq(n0,X2)
        | ~ leq(X2,n3) )
    & ! [X3] :
        ( a_select2(s_center7_init,X3) = init
        | ~ leq(n0,X3)
        | ~ leq(X3,minus(plus(n1,n2),n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(flattening,[],[f87]) ).

fof(f109,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(f110,definition,
    ( ? [X7] :
        ( init != a_select2(s_center7_init,X7)
        & leq(n0,X7)
        & leq(X7,n2) )
    | ~ sP1 ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f111,plain,
    ( ( sP0
      | ? [X6] :
          ( init != a_select2(s_values7_init,X6)
          & leq(n0,X6)
          & leq(X6,n3) )
      | sP1
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & ! [X0] :
        ( ! [X1] :
            ( a_select3(simplex7_init,X1,X0) = init
            | ~ leq(n0,X1)
            | ~ leq(X1,n3) )
        | ~ leq(n0,X0)
        | ~ leq(X0,n2) )
    & ! [X2] :
        ( a_select2(s_values7_init,X2) = init
        | ~ leq(n0,X2)
        | ~ leq(X2,n3) )
    & ! [X3] :
        ( a_select2(s_center7_init,X3) = init
        | ~ leq(n0,X3)
        | ~ leq(X3,minus(plus(n1,n2),n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(definition_folding,[],[f88,f110,f109]) ).

fof(f112,plain,
    ( ? [X7] :
        ( init != a_select2(s_center7_init,X7)
        & leq(n0,X7)
        & leq(X7,n2) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f110]) ).

fof(f113,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(n0,X0)
        & leq(X0,n2) )
    | ~ sP1 ),
    inference(rectify,[],[f112]) ).

fof(f114,plain,
    ( ( init != a_select2(s_center7_init,sK2)
      & leq(n0,sK2)
      & leq(sK2,n2) )
    | ~ sP1 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f113]) ).

fof(f115,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,[],[f109]) ).

fof(f116,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( a_select3(simplex7_init,X1,X0) != init
            & leq(n0,X1)
            & leq(X1,n3) )
        & leq(n0,X0)
        & leq(X0,n2) )
    | ~ sP0 ),
    inference(rectify,[],[f115]) ).

fof(f117,plain,
    ( ( init != a_select3(simplex7_init,sK4,sK3)
      & leq(n0,sK4)
      & leq(sK4,n3)
      & leq(n0,sK3)
      & leq(sK3,n2) )
    | ~ sP0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f116]) ).

fof(f118,plain,
    ( ( sP0
      | ? [X0] :
          ( init != a_select2(s_values7_init,X0)
          & leq(n0,X0)
          & leq(X0,n3) )
      | sP1
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & ! [X1] :
        ( ! [X2] :
            ( init = a_select3(simplex7_init,X2,X1)
            | ~ leq(n0,X2)
            | ~ leq(X2,n3) )
        | ~ leq(n0,X1)
        | ~ leq(X1,n2) )
    & ! [X3] :
        ( init = a_select2(s_values7_init,X3)
        | ~ leq(n0,X3)
        | ~ leq(X3,n3) )
    & ! [X4] :
        ( init = a_select2(s_center7_init,X4)
        | ~ leq(n0,X4)
        | ~ leq(X4,minus(plus(n1,n2),n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(rectify,[],[f111]) ).

fof(f119,plain,
    ( ( sP0
      | ( init != a_select2(s_values7_init,sK5)
        & leq(n0,sK5)
        & leq(sK5,n3) )
      | sP1
      | ( ( init != pvar1400_init
          | init != pvar1401_init
          | init != pvar1402_init )
        & gt(loopcounter,n1) ) )
    & ! [X1] :
        ( ! [X2] :
            ( init = a_select3(simplex7_init,X2,X1)
            | ~ leq(n0,X2)
            | ~ leq(X2,n3) )
        | ~ leq(n0,X1)
        | ~ leq(X1,n2) )
    & ! [X3] :
        ( init = a_select2(s_values7_init,X3)
        | ~ leq(n0,X3)
        | ~ leq(X3,n3) )
    & ! [X4] :
        ( init = a_select2(s_center7_init,X4)
        | ~ leq(n0,X4)
        | ~ leq(X4,minus(plus(n1,n2),n1)) )
    & ( ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init )
      | ~ gt(loopcounter,n1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f118]) ).

fof(f123,plain,
    ( leq(sK2,n2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f124,plain,
    ( leq(n0,sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f125,plain,
    ( init != a_select2(s_center7_init,sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f114]) ).

fof(f126,plain,
    ( leq(sK3,n2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f127,plain,
    ( leq(n0,sK3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f128,plain,
    ( leq(sK4,n3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f129,plain,
    ( leq(n0,sK4)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f130,plain,
    ( init != a_select3(simplex7_init,sK4,sK3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f131,plain,
    ( ~ gt(loopcounter,n1)
    | init = pvar1402_init ),
    inference(cnf_transformation,[],[f119]) ).

fof(f132,plain,
    ( ~ gt(loopcounter,n1)
    | init = pvar1401_init ),
    inference(cnf_transformation,[],[f119]) ).

fof(f133,plain,
    ( ~ gt(loopcounter,n1)
    | init = pvar1400_init ),
    inference(cnf_transformation,[],[f119]) ).

fof(f134,plain,
    ! [X4] :
      ( ~ leq(X4,minus(plus(n1,n2),n1))
      | ~ leq(n0,X4)
      | init = a_select2(s_center7_init,X4) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f135,plain,
    ! [X3] :
      ( init = a_select2(s_values7_init,X3)
      | ~ leq(n0,X3)
      | ~ leq(X3,n3) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f136,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,[],[f119]) ).

fof(f137,plain,
    ( leq(sK5,n3)
    | sP0
    | sP1
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f138,plain,
    ( init != pvar1402_init
    | leq(sK5,n3)
    | sP1
    | init != pvar1400_init
    | init != pvar1401_init
    | sP0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f139,plain,
    ( leq(n0,sK5)
    | sP0
    | sP1
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f140,plain,
    ( sP0
    | leq(n0,sK5)
    | sP1
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(cnf_transformation,[],[f119]) ).

fof(f141,plain,
    ( init != a_select2(s_values7_init,sK5)
    | sP0
    | sP1
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f142,plain,
    ( sP0
    | init != a_select2(s_values7_init,sK5)
    | sP1
    | init != pvar1400_init
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(cnf_transformation,[],[f119]) ).

fof(f160,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f172,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f187,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f209,plain,
    ! [X0] : minus(plus(n1,X0),n1) = X0,
    inference(definition_unfolding,[],[f187,f172,f160]) ).

fof(f212,plain,
    ( init != init
    | sP0
    | sP1
    | gt(loopcounter,n1)
    | ~ leq(n0,sK5)
    | ~ leq(sK5,n3) ),
    inference(superposition,[],[f141,f135]) ).

fof(f213,plain,
    ( sP0
    | sP1
    | gt(loopcounter,n1)
    | ~ leq(n0,sK5)
    | ~ leq(sK5,n3) ),
    inference(trivial_inequality_removal,[],[f212]) ).

fof(f214,plain,
    ( sP0
    | sP1
    | gt(loopcounter,n1)
    | ~ leq(sK5,n3) ),
    inference(forward_subsumption_resolution,[],[f213,f139]) ).

fof(f215,plain,
    ( gt(loopcounter,n1)
    | sP1
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f214,f137]) ).

fof(f216,plain,
    ( init = pvar1400_init
    | sP0
    | sP1 ),
    inference(resolution,[],[f215,f133]) ).

fof(f217,plain,
    ( init = pvar1401_init
    | sP0
    | sP1 ),
    inference(resolution,[],[f215,f132]) ).

fof(f218,plain,
    ( init = pvar1402_init
    | sP0
    | sP1 ),
    inference(resolution,[],[f215,f131]) ).

fof(f219,plain,
    ( pvar1400_init != pvar1402_init
    | leq(sK5,n3)
    | sP1
    | pvar1400_init != pvar1400_init
    | pvar1400_init != pvar1401_init
    | sP0
    | sP0
    | sP1 ),
    inference(superposition,[],[f138,f216]) ).

fof(f220,plain,
    ( pvar1400_init != pvar1402_init
    | leq(sK5,n3)
    | sP1
    | pvar1400_init != pvar1400_init
    | pvar1400_init != pvar1401_init
    | sP0 ),
    inference(duplicate_literal_removal,[],[f219]) ).

fof(f221,plain,
    ( pvar1400_init != pvar1402_init
    | leq(sK5,n3)
    | sP1
    | pvar1400_init != pvar1401_init
    | sP0 ),
    inference(trivial_inequality_removal,[],[f220]) ).

fof(f223,plain,
    ( pvar1400_init = pvar1401_init
    | sP0
    | sP1
    | sP0
    | sP1 ),
    inference(superposition,[],[f216,f217]) ).

fof(f227,plain,
    ( pvar1400_init = pvar1401_init
    | sP0
    | sP1 ),
    inference(duplicate_literal_removal,[],[f223]) ).

fof(f229,plain,
    ( sP0
    | leq(n0,sK5)
    | sP1
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f140,f216]) ).

fof(f230,plain,
    ( sP0
    | leq(n0,sK5)
    | sP1
    | init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f229,f217]) ).

fof(f234,plain,
    ( pvar1400_init = pvar1402_init
    | sP0
    | sP1
    | sP0
    | sP1 ),
    inference(superposition,[],[f216,f218]) ).

fof(f238,plain,
    ( pvar1400_init = pvar1402_init
    | sP0
    | sP1 ),
    inference(duplicate_literal_removal,[],[f234]) ).

fof(f242,plain,
    ( leq(n0,sK5)
    | sP0
    | sP1 ),
    inference(forward_subsumption_resolution,[],[f230,f218]) ).

fof(f243,plain,
    ( sP0
    | init != a_select2(s_values7_init,sK5)
    | sP1
    | init != pvar1401_init
    | init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f142,f216]) ).

fof(f244,plain,
    ( sP0
    | init != a_select2(s_values7_init,sK5)
    | sP1
    | init != pvar1402_init ),
    inference(forward_subsumption_resolution,[],[f243,f217]) ).

fof(f245,plain,
    ( init != a_select2(s_values7_init,sK5)
    | sP0
    | sP1 ),
    inference(forward_subsumption_resolution,[],[f244,f218]) ).

fof(f250,plain,
    ( init != init
    | sP0
    | sP1
    | ~ leq(n0,sK5)
    | ~ leq(sK5,n3) ),
    inference(superposition,[],[f245,f135]) ).

fof(f251,plain,
    ( sP0
    | sP1
    | ~ leq(n0,sK5)
    | ~ leq(sK5,n3) ),
    inference(trivial_inequality_removal,[],[f250]) ).

fof(f252,plain,
    ( ~ leq(sK5,n3)
    | sP1
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f251,f242]) ).

fof(f255,plain,
    ( leq(sK5,n3)
    | sP1
    | pvar1400_init != pvar1401_init
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f221,f238]) ).

fof(f256,plain,
    ( sP1
    | pvar1400_init != pvar1401_init
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f255,f252]) ).

fof(f257,plain,
    ( sP1
    | sP0 ),
    inference(forward_subsumption_resolution,[],[f256,f227]) ).

fof(f262,plain,
    ( init != init
    | ~ sP0
    | ~ leq(n0,sK4)
    | ~ leq(sK4,n3)
    | ~ leq(n0,sK3)
    | ~ leq(sK3,n2) ),
    inference(superposition,[],[f130,f136]) ).

fof(f263,plain,
    ( ~ sP0
    | ~ leq(n0,sK4)
    | ~ leq(sK4,n3)
    | ~ leq(n0,sK3)
    | ~ leq(sK3,n2) ),
    inference(trivial_inequality_removal,[],[f262]) ).

fof(f264,plain,
    ( ~ sP0
    | ~ leq(sK4,n3)
    | ~ leq(n0,sK3)
    | ~ leq(sK3,n2) ),
    inference(forward_subsumption_resolution,[],[f263,f129]) ).

fof(f265,plain,
    ( ~ sP0
    | ~ leq(n0,sK3)
    | ~ leq(sK3,n2) ),
    inference(forward_subsumption_resolution,[],[f264,f128]) ).

fof(f266,plain,
    ( ~ sP0
    | ~ leq(sK3,n2) ),
    inference(forward_subsumption_resolution,[],[f265,f127]) ).

fof(f267,plain,
    ~ sP0,
    inference(forward_subsumption_resolution,[],[f266,f126]) ).

fof(f284,plain,
    ! [X0] :
      ( init = a_select2(s_center7_init,X0)
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(superposition,[],[f134,f209]) ).

fof(f287,plain,
    ( init != init
    | ~ sP1
    | ~ leq(n0,sK2)
    | ~ leq(sK2,n2) ),
    inference(superposition,[],[f125,f284]) ).

fof(f288,plain,
    ( ~ sP1
    | ~ leq(n0,sK2)
    | ~ leq(sK2,n2) ),
    inference(trivial_inequality_removal,[],[f287]) ).

fof(f289,plain,
    ( ~ sP1
    | ~ leq(sK2,n2) ),
    inference(forward_subsumption_resolution,[],[f288,f124]) ).

fof(f290,plain,
    ~ sP1,
    inference(forward_subsumption_resolution,[],[f289,f123]) ).

fof(f291,plain,
    sP0,
    inference(resolution,[],[f290,f257]) ).

fof(f292,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f291,f267]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV042+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16  % Computer : n011.cluster.edu
% 0.10/0.16  % Model    : x86_64 x86_64
% 0.10/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16  % Memory   : 8046.5625MB
% 0.10/0.16  % OS       : Linux 6.8.0-71-generic
% 0.10/0.16  % CPULimit : 300
% 0.10/0.16  % WCLimit  : 300
% 0.10/0.16  % DateTime : Mon Sep 28 09:44:31 UTC 2026
% 0.10/0.16  % CPUTime  : 
% 0.10/0.16  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19  Running first-order theorem proving
% 0.10/0.19  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.92/1.04  % (3283522)Detected formulas, will run a generic FOF schedule.
% 2.92/1.04  % (3283533)dis-21_1_sil=8000:lcm=predicate:random_seed=375952816: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)
% 2.92/1.04  % (3283532)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1521855608:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.92/1.04  % (3283530)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2359616972:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.92/1.04  % (3283531)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=374318103:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.92/1.04  % (3283527)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=247428952:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.92/1.04  % (3283528)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=983655438:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.92/1.04  % (3283529)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=3258345591:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.92/1.04  % (3283531)First to succeed.
% 2.92/1.04  % (3283531)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3283522"
% 2.92/1.04  % (3283533)Instruction limit reached! 
% 2.92/1.04  % (3283533)------------------------------
% 2.92/1.04  % (3283533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.04  % (3283533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04  % (3283533)CaDiCaL version: 2.1.3
% 2.92/1.04  % (3283533)Termination reason: Instruction limit
% 2.92/1.04  % (3283533)Termination phase: Saturation
% 2.92/1.04  % (3283533)Time elapsed: 0.043 s
% 2.92/1.04  % (3283533)Peak memory usage: 89 MB
% 2.92/1.04  % (3283533)Instructions burned: 131 (million)
% 2.92/1.04  % (3283530)Instruction limit reached! 
% 2.92/1.04  % (3283530)------------------------------
% 2.92/1.04  % (3283530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.04  % (3283530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04  % (3283530)CaDiCaL version: 2.1.3
% 2.92/1.04  % (3283530)Termination reason: Instruction limit
% 2.92/1.04  % (3283530)Termination phase: Saturation
% 2.92/1.04  % (3283530)Time elapsed: 0.070 s
% 2.92/1.04  % (3283530)Peak memory usage: 89 MB
% 2.92/1.04  % (3283530)Instructions burned: 110 (million)
% 2.92/1.04  % (3283532)Instruction limit reached! 
% 2.92/1.04  % (3283532)------------------------------
% 2.92/1.04  % (3283532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.04  % (3283532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04  % (3283532)CaDiCaL version: 2.1.3
% 2.92/1.04  % (3283532)Termination reason: Instruction limit
% 2.92/1.04  % (3283532)Termination phase: Saturation
% 2.92/1.04  % (3283532)Time elapsed: 0.093 s
% 2.92/1.04  % (3283532)Peak memory usage: 90 MB
% 2.92/1.04  % (3283532)Instructions burned: 139 (million)
% 2.92/1.04  % (3283541)lrs+10_1_sil=8000:sp=occurrence:random_seed=3184782995:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.92/1.04  % (3283541)Also succeeded, but the first one will report.
% 2.92/1.04  % (3283542)lrs+10_1_sil=32000:urr=on:br=off:random_seed=964190925:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.92/1.04  % (3283543)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3498012905:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.92/1.04  % (3283531)Refutation found. Thanks to Tanya!
% 2.92/1.04  % SZS status Theorem for theBenchmark
% 2.92/1.04  % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.24  % (3283531)------------------------------
% 3.58/1.24  % (3283531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.24  % (3283531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.24  % (3283531)CaDiCaL version: 2.1.3
% 3.58/1.24  % (3283531)Termination reason: Refutation
% 3.58/1.24  % (3283531)Time elapsed: 0.007 s
% 3.58/1.24  % (3283531)Peak memory usage: 88 MB
% 3.58/1.24  % (3283531)Instructions burned: 9 (million)
% 3.58/1.24  % (3283531)------------------------------
% 3.58/1.24  % (3283531)------------------------------
% 3.58/1.24  % (3283522)Success in time 0.42 s
% 3.58/1.24  % Vampire exiting
%------------------------------------------------------------------------------