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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV026+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n018.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 : Fri Sep 25 03:16:15 PM UTC 2026

% Result   : Theorem 3.51s 6.09s
% Output   : CNFRefutation 3.51s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f309ERROR: Could not build tree for root c_4994ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,conjecture,
    ( ( ( gt(loopcounter,n1)
       => ( pvar1402_init = init
          & pvar1401_init = init
          & pvar1400_init = init ) )
      & ! [X4] :
          ( ( leq(X4,minus(n3,n1))
            & leq(n0,X4) )
         => a_select2(s_try7_init,X4) = init )
      & ! [X3] :
          ( ( leq(X3,n2)
            & leq(n0,X3) )
         => a_select2(s_center7_init,X3) = init )
      & ! [X2] :
          ( ( leq(X2,n3)
            & leq(n0,X2) )
         => a_select2(s_values7_init,X2) = init )
      & ! [X0] :
          ( ( leq(X0,n2)
            & leq(n0,X0) )
         => ! [X1] :
              ( ( leq(X1,n3)
                & leq(n0,X1) )
             => a_select3(simplex7_init,X1,X0) = init ) )
      & leq(pv1376,n3)
      & leq(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv9,minus(n410,n1))
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv1376)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,pv9)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7)
      & s_worst7_init = init
      & s_sworst7_init = init
      & s_best7_init = init
      & init = init )
   => ( ( gt(loopcounter,n1)
       => ( pvar1402_init = init
          & pvar1401_init = init
          & pvar1400_init = init ) )
      & ! [X9] :
          ( ( leq(X9,minus(n3,n1))
            & leq(n0,X9) )
         => a_select2(s_try7_init,X9) = init )
      & ! [X8] :
          ( ( leq(X8,n2)
            & leq(n0,X8) )
         => a_select2(s_center7_init,X8) = init )
      & ! [X7] :
          ( ( leq(X7,n3)
            & leq(n0,X7) )
         => a_select2(s_values7_init,X7) = init )
      & ! [X5] :
          ( ( leq(X5,n2)
            & leq(n0,X5) )
         => ! [X6] :
              ( ( leq(X6,n3)
                & leq(n0,X6) )
             => a_select3(simplex7_init,X6,X5) = init ) )
      & leq(pv1376,n3)
      & leq(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv1376)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7)
      & s_worst7_init = init
      & s_sworst7_init = init
      & s_best7_init = init
      & init = init ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0017) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n1)
         => ( pvar1402_init = init
            & pvar1401_init = init
            & pvar1400_init = init ) )
        & ! [X4] :
            ( ( leq(X4,minus(n3,n1))
              & leq(n0,X4) )
           => a_select2(s_try7_init,X4) = init )
        & ! [X3] :
            ( ( leq(X3,n2)
              & leq(n0,X3) )
           => a_select2(s_center7_init,X3) = init )
        & ! [X2] :
            ( ( leq(X2,n3)
              & leq(n0,X2) )
           => a_select2(s_values7_init,X2) = init )
        & ! [X0] :
            ( ( leq(X0,n2)
              & leq(n0,X0) )
           => ! [X1] :
                ( ( leq(X1,n3)
                  & leq(n0,X1) )
               => a_select3(simplex7_init,X1,X0) = init ) )
        & leq(pv1376,n3)
        & leq(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv9,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv1376)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,pv9)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & s_worst7_init = init
        & s_sworst7_init = init
        & s_best7_init = init
        & init = init )
     => ( ( gt(loopcounter,n1)
         => ( pvar1402_init = init
            & pvar1401_init = init
            & pvar1400_init = init ) )
        & ! [X9] :
            ( ( leq(X9,minus(n3,n1))
              & leq(n0,X9) )
           => a_select2(s_try7_init,X9) = init )
        & ! [X8] :
            ( ( leq(X8,n2)
              & leq(n0,X8) )
           => a_select2(s_center7_init,X8) = init )
        & ! [X7] :
            ( ( leq(X7,n3)
              & leq(n0,X7) )
           => a_select2(s_values7_init,X7) = init )
        & ! [X5] :
            ( ( leq(X5,n2)
              & leq(n0,X5) )
           => ! [X6] :
                ( ( leq(X6,n3)
                  & leq(n0,X6) )
               => a_select3(simplex7_init,X6,X5) = init ) )
        & leq(pv1376,n3)
        & leq(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv1376)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & s_worst7_init = init
        & s_sworst7_init = init
        & s_best7_init = init
        & init = init ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f102,plain,
    ( ( ~ gt(loopcounter,n1)
      | ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init ) )
    & ! [X4] :
        ( ~ leq(X4,minus(n3,n1))
        | ~ leq(n0,X4)
        | a_select2(s_try7_init,X4) = init )
    & ! [X3] :
        ( ~ leq(X3,n2)
        | ~ leq(n0,X3)
        | a_select2(s_center7_init,X3) = init )
    & ! [X2] :
        ( ~ leq(X2,n3)
        | ~ leq(n0,X2)
        | a_select2(s_values7_init,X2) = init )
    & ! [X0] :
        ( ~ leq(X0,n2)
        | ~ leq(n0,X0)
        | ! [X1] :
            ( ~ leq(X1,n3)
            | ~ leq(n0,X1)
            | a_select3(simplex7_init,X1,X0) = init ) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv9,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv9)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init
    & ( ( gt(loopcounter,n1)
        & ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init ) )
      | ? [X9] :
          ( leq(X9,minus(n3,n1))
          & leq(n0,X9)
          & init != a_select2(s_try7_init,X9) )
      | ? [X8] :
          ( leq(X8,n2)
          & leq(n0,X8)
          & init != a_select2(s_center7_init,X8) )
      | ? [X7] :
          ( leq(X7,n3)
          & leq(n0,X7)
          & init != a_select2(s_values7_init,X7) )
      | ? [X5] :
          ( leq(X5,n2)
          & leq(n0,X5)
          & ? [X6] :
              ( leq(X6,n3)
              & leq(n0,X6)
              & init != a_select3(simplex7_init,X6,X5) ) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f103,plain,
    ( ( ~ gt(loopcounter,n1)
      | ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init ) )
    & ! [X4] :
        ( ~ leq(X4,minus(n3,n1))
        | ~ leq(n0,X4)
        | a_select2(s_try7_init,X4) = init )
    & ! [X3] :
        ( ~ leq(X3,n2)
        | ~ leq(n0,X3)
        | a_select2(s_center7_init,X3) = init )
    & ! [X2] :
        ( ~ leq(X2,n3)
        | ~ leq(n0,X2)
        | a_select2(s_values7_init,X2) = init )
    & ! [X0] :
        ( ~ leq(X0,n2)
        | ~ leq(n0,X0)
        | ! [X1] :
            ( ~ leq(X1,n3)
            | ~ leq(n0,X1)
            | a_select3(simplex7_init,X1,X0) = init ) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv9,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv9)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init
    & ( ( gt(loopcounter,n1)
        & ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init ) )
      | ? [X9] :
          ( leq(X9,minus(n3,n1))
          & leq(n0,X9)
          & init != a_select2(s_try7_init,X9) )
      | ? [X8] :
          ( leq(X8,n2)
          & leq(n0,X8)
          & init != a_select2(s_center7_init,X8) )
      | ? [X7] :
          ( leq(X7,n3)
          & leq(n0,X7)
          & init != a_select2(s_values7_init,X7) )
      | ? [X5] :
          ( leq(X5,n2)
          & leq(n0,X5)
          & ? [X6] :
              ( leq(X6,n3)
              & leq(n0,X6)
              & init != a_select3(simplex7_init,X6,X5) ) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init ) ),
    inference(flattening,[],[f102]) ).

fof(f130,plain,
    ( ~ sP2
    | ? [X8] :
        ( leq(X8,n2)
        & leq(n0,X8)
        & init != a_select2(s_center7_init,X8) ) ),
    inference(nnf_transformation,[],[f128]) ).

fof(f131,plain,
    ( ~ sP2
    | ? [X0] :
        ( leq(X0,n2)
        & leq(n0,X0)
        & init != a_select2(s_center7_init,X0) ) ),
    inference(rectify,[],[f130]) ).

fof(f132,plain,
    ( ~ sP2
    | ( leq(sK3,n2)
      & leq(n0,sK3)
      & init != a_select2(s_center7_init,sK3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f131]) ).

fof(f133,plain,
    ( ~ sP1
    | ? [X9] :
        ( leq(X9,minus(n3,n1))
        & leq(n0,X9)
        & init != a_select2(s_try7_init,X9) ) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f134,plain,
    ( ~ sP1
    | ? [X0] :
        ( leq(X0,minus(n3,n1))
        & leq(n0,X0)
        & init != a_select2(s_try7_init,X0) ) ),
    inference(rectify,[],[f133]) ).

fof(f135,plain,
    ( ~ sP1
    | ( leq(sK4,minus(n3,n1))
      & leq(n0,sK4)
      & init != a_select2(s_try7_init,sK4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f134]) ).

fof(f139,plain,
    ( ( ~ gt(loopcounter,n1)
      | ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init ) )
    & ! [X5] :
        ( ~ leq(X5,minus(n3,n1))
        | ~ leq(n0,X5)
        | init = a_select2(s_try7_init,X5) )
    & ! [X4] :
        ( ~ leq(X4,n2)
        | ~ leq(n0,X4)
        | init = a_select2(s_center7_init,X4) )
    & ! [X3] :
        ( ~ leq(X3,n3)
        | ~ leq(n0,X3)
        | init = a_select2(s_values7_init,X3) )
    & ! [X1] :
        ( ~ leq(X1,n2)
        | ~ leq(n0,X1)
        | ! [X2] :
            ( ~ leq(X2,n3)
            | ~ leq(n0,X2)
            | init = a_select3(simplex7_init,X2,X1) ) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv9,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv9)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init
    & ( ( gt(loopcounter,n1)
        & ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init ) )
      | sP1
      | sP2
      | ? [X0] :
          ( leq(X0,n3)
          & leq(n0,X0)
          & init != a_select2(s_values7_init,X0) )
      | sP0
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init ) ),
    inference(rectify,[],[f129]) ).

fof(f140,plain,
    ( ( ~ gt(loopcounter,n1)
      | ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init ) )
    & ! [X5] :
        ( ~ leq(X5,minus(n3,n1))
        | ~ leq(n0,X5)
        | init = a_select2(s_try7_init,X5) )
    & ! [X4] :
        ( ~ leq(X4,n2)
        | ~ leq(n0,X4)
        | init = a_select2(s_center7_init,X4) )
    & ! [X3] :
        ( ~ leq(X3,n3)
        | ~ leq(n0,X3)
        | init = a_select2(s_values7_init,X3) )
    & ! [X1] :
        ( ~ leq(X1,n2)
        | ~ leq(n0,X1)
        | ! [X2] :
            ( ~ leq(X2,n3)
            | ~ leq(n0,X2)
            | init = a_select3(simplex7_init,X2,X1) ) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv9,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv9)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init
    & ( ( gt(loopcounter,n1)
        & ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init ) )
      | sP1
      | sP2
      | ( leq(sK7,n3)
        & leq(n0,sK7)
        & init != a_select2(s_values7_init,sK7) )
      | sP0
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f139]) ).

fof(f144,plain,
    ( ~ sP2
    | leq(sK3,n2) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f145,plain,
    ( ~ sP2
    | leq(n0,sK3) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f146,plain,
    ( ~ sP2
    | init != a_select2(s_center7_init,sK3) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f147,plain,
    ( ~ sP1
    | leq(sK4,minus(n3,n1)) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f148,plain,
    ( ~ sP1
    | leq(n0,sK4) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f149,plain,
    ( ~ sP1
    | init != a_select2(s_try7_init,sK4) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f155,plain,
    ( ~ gt(loopcounter,n1)
    | init = pvar1402_init ),
    inference(cnf_transformation,[],[f140]) ).

fof(f156,plain,
    ( ~ gt(loopcounter,n1)
    | init = pvar1401_init ),
    inference(cnf_transformation,[],[f140]) ).

fof(f157,plain,
    ( ~ gt(loopcounter,n1)
    | init = pvar1400_init ),
    inference(cnf_transformation,[],[f140]) ).

fof(f158,plain,
    ! [X5] :
      ( ~ leq(X5,minus(n3,n1))
      | ~ leq(n0,X5)
      | init = a_select2(s_try7_init,X5) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f159,plain,
    ! [X4] :
      ( ~ leq(X4,n2)
      | ~ leq(n0,X4)
      | init = a_select2(s_center7_init,X4) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f160,plain,
    ! [X3] :
      ( ~ leq(X3,n3)
      | ~ leq(n0,X3)
      | init = a_select2(s_values7_init,X3) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f161,plain,
    ! [X2,X1] :
      ( ~ leq(X1,n2)
      | ~ leq(n0,X1)
      | ~ leq(X2,n3)
      | ~ leq(n0,X2)
      | init = a_select3(simplex7_init,X2,X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f162,plain,
    leq(pv1376,n3),
    inference(cnf_transformation,[],[f140]) ).

fof(f163,plain,
    leq(pv20,minus(n330,n1)),
    inference(cnf_transformation,[],[f140]) ).

fof(f164,plain,
    leq(pv19,minus(n410,n1)),
    inference(cnf_transformation,[],[f140]) ).

fof(f166,plain,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f140]) ).

fof(f167,plain,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f140]) ).

fof(f168,plain,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f140]) ).

fof(f169,plain,
    leq(n0,pv1376),
    inference(cnf_transformation,[],[f140]) ).

fof(f170,plain,
    leq(n0,pv20),
    inference(cnf_transformation,[],[f140]) ).

fof(f171,plain,
    leq(n0,pv19),
    inference(cnf_transformation,[],[f140]) ).

fof(f173,plain,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f140]) ).

fof(f174,plain,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f140]) ).

fof(f175,plain,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f140]) ).

fof(f176,plain,
    init = s_worst7_init,
    inference(cnf_transformation,[],[f140]) ).

fof(f177,plain,
    init = s_sworst7_init,
    inference(cnf_transformation,[],[f140]) ).

fof(f178,plain,
    init = s_best7_init,
    inference(cnf_transformation,[],[f140]) ).

fof(f264,plain,
    ( ~ sP2
    | s_best7_init != a_select2(s_center7_init,sK3) ),
    inference(definition_unfolding,[],[f146,f178]) ).

fof(f265,plain,
    ( ~ sP1
    | s_best7_init != a_select2(s_try7_init,sK4) ),
    inference(definition_unfolding,[],[f149,f178]) ).

fof(f274,plain,
    s_best7_init = s_sworst7_init,
    inference(definition_unfolding,[],[f177,f178]) ).

fof(f275,plain,
    s_best7_init = s_worst7_init,
    inference(definition_unfolding,[],[f176,f178]) ).

fof(f276,plain,
    ! [X2,X1] :
      ( ~ leq(X1,n2)
      | ~ leq(n0,X1)
      | ~ leq(X2,n3)
      | ~ leq(n0,X2)
      | s_best7_init = a_select3(simplex7_init,X2,X1) ),
    inference(definition_unfolding,[],[f161,f178]) ).

fof(f277,plain,
    ! [X3] :
      ( ~ leq(X3,n3)
      | ~ leq(n0,X3)
      | s_best7_init = a_select2(s_values7_init,X3) ),
    inference(definition_unfolding,[],[f160,f178]) ).

fof(f278,plain,
    ! [X4] :
      ( ~ leq(X4,n2)
      | ~ leq(n0,X4)
      | s_best7_init = a_select2(s_center7_init,X4) ),
    inference(definition_unfolding,[],[f159,f178]) ).

fof(f279,plain,
    ! [X5] :
      ( ~ leq(X5,minus(n3,n1))
      | ~ leq(n0,X5)
      | s_best7_init = a_select2(s_try7_init,X5) ),
    inference(definition_unfolding,[],[f158,f178]) ).

fof(f280,plain,
    ( ~ gt(loopcounter,n1)
    | s_best7_init = pvar1400_init ),
    inference(definition_unfolding,[],[f157,f178]) ).

fof(f281,plain,
    ( ~ gt(loopcounter,n1)
    | s_best7_init = pvar1401_init ),
    inference(definition_unfolding,[],[f156,f178]) ).

fof(f282,plain,
    ( ~ gt(loopcounter,n1)
    | s_best7_init = pvar1402_init ),
    inference(definition_unfolding,[],[f155,f178]) ).

tcf(c_49,negated_conjecture,
    ( ~ sP2
    | ( a_select2(s_center7_init,sK3) != s_best7_init ) ),
    inference(cnf_transformation,[],[f264]) ).

tcf(c_50,plain,
    ( leq(n0,sK3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_51,plain,
    ( leq(sK3,n2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_52,negated_conjecture,
    ( ~ sP1
    | ( a_select2(s_try7_init,sK4) != s_best7_init ) ),
    inference(cnf_transformation,[],[f265]) ).

tcf(c_53,plain,
    ( leq(n0,sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_54,plain,
    ( leq(sK4,minus(n3,n1))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_60,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != pvar1402_init )
    | ( s_best7_init != pvar1401_init )
    | ( s_best7_init != pvar1400_init )
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( s_best7_init != s_best7_init )
    | ( a_select2(s_values7_init,sK7) != s_best7_init ) ),
    inference(cnf_transformation,[],[f309]) ).

tcf(c_61,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( s_best7_init != s_best7_init )
    | ( a_select2(s_values7_init,sK7) != s_best7_init ) ),
    inference(cnf_transformation,[],[f310]) ).

tcf(c_62,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | leq(n0,sK7)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != pvar1402_init )
    | ( s_best7_init != pvar1401_init )
    | ( s_best7_init != pvar1400_init )
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( s_best7_init != s_best7_init ) ),
    inference(cnf_transformation,[],[f311]) ).

tcf(c_63,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(n0,sK7)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( s_best7_init != s_best7_init ) ),
    inference(cnf_transformation,[],[f312]) ).

tcf(c_64,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | leq(sK7,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != pvar1402_init )
    | ( s_best7_init != pvar1401_init )
    | ( s_best7_init != pvar1400_init )
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( s_best7_init != s_best7_init ) ),
    inference(cnf_transformation,[],[f313]) ).

tcf(c_65,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(sK7,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( s_best7_init != s_best7_init ) ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_66,negated_conjecture,
    s_best7_init = s_sworst7_init,
    inference(cnf_transformation,[],[f274]) ).

tcf(c_67,negated_conjecture,
    s_best7_init = s_worst7_init,
    inference(cnf_transformation,[],[f275]) ).

tcf(c_68,negated_conjecture,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_69,negated_conjecture,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_70,negated_conjecture,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_72,negated_conjecture,
    leq(n0,pv19),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_73,negated_conjecture,
    leq(n0,pv20),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_74,negated_conjecture,
    leq(n0,pv1376),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_75,negated_conjecture,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_76,negated_conjecture,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_77,negated_conjecture,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_79,negated_conjecture,
    leq(pv19,minus(n410,n1)),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_80,negated_conjecture,
    leq(pv20,minus(n330,n1)),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_81,negated_conjecture,
    leq(pv1376,n3),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_82,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ( a_select3(simplex7_init,X0,X1) = s_best7_init )
      | ~ leq(n0,X1)
      | ~ leq(n0,X0)
      | ~ leq(X1,n2)
      | ~ leq(X0,n3) ),
    inference(cnf_transformation,[],[f276]) ).

tcf(c_83,negated_conjecture,
    ! [X0: $i] :
      ( ( a_select2(s_values7_init,X0) = s_best7_init )
      | ~ leq(n0,X0)
      | ~ leq(X0,n3) ),
    inference(cnf_transformation,[],[f277]) ).

tcf(c_84,negated_conjecture,
    ! [X0: $i] :
      ( ( a_select2(s_center7_init,X0) = s_best7_init )
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(cnf_transformation,[],[f278]) ).

tcf(c_85,negated_conjecture,
    ! [X0: $i] :
      ( ( a_select2(s_try7_init,X0) = s_best7_init )
      | ~ leq(n0,X0)
      | ~ leq(X0,minus(n3,n1)) ),
    inference(cnf_transformation,[],[f279]) ).

tcf(c_86,negated_conjecture,
    ( ( s_best7_init = pvar1400_init )
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f280]) ).

tcf(c_87,negated_conjecture,
    ( ( s_best7_init = pvar1401_init )
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f281]) ).

tcf(c_88,negated_conjecture,
    ( ( s_best7_init = pvar1402_init )
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f282]) ).

tcf(c_195,plain,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(sK7,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_65]) ).

tcf(c_196,plain,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(sK7,n3) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_81,c_77,c_76,c_75,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_80,c_79,c_195]) ).

tcf(c_198,plain,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(n0,sK7)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_63]) ).

tcf(c_199,plain,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(n0,sK7) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_81,c_77,c_76,c_75,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_80,c_79,c_198]) ).

tcf(c_201,plain,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( a_select2(s_values7_init,sK7) != s_best7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_61]) ).

tcf(c_204,plain,
    ( sP0
    | sP1
    | sP2
    | leq(sK7,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != pvar1402_init )
    | ( s_best7_init != pvar1401_init )
    | ( s_best7_init != pvar1400_init )
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_64]) ).

tcf(c_205,plain,
    ( sP0
    | sP1
    | sP2
    | leq(sK7,n3) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_81,c_77,c_76,c_75,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_80,c_79,c_88,c_87,c_86,c_196,c_204]) ).

tcf(c_207,plain,
    ( sP0
    | sP1
    | sP2
    | leq(n0,sK7)
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != pvar1402_init )
    | ( s_best7_init != pvar1401_init )
    | ( s_best7_init != pvar1400_init )
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_62]) ).

tcf(c_208,plain,
    ( sP0
    | sP1
    | sP2
    | leq(n0,sK7) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_81,c_77,c_76,c_75,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_80,c_79,c_88,c_87,c_86,c_199,c_207]) ).

tcf(c_210,plain,
    ( sP0
    | sP1
    | sP2
    | ~ leq(pv1376,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ( s_best7_init != pvar1402_init )
    | ( s_best7_init != pvar1401_init )
    | ( s_best7_init != pvar1400_init )
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( a_select2(s_values7_init,sK7) != s_best7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_60]) ).

tcf(c_211,plain,
    ( sP0
    | sP1
    | sP2
    | ( a_select2(s_values7_init,sK7) != s_best7_init ) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_81,c_77,c_76,c_75,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_80,c_79,c_88,c_87,c_86,c_201,c_210]) ).

tcf(c_4608,plain,
    ( sP0
    | sP1
    | sP2
    | ( a_select2(s_values7_init,sK7) = s_best7_init )
    | ~ leq(sK7,n3) ),
    inference(superposition,[status(thm)],[c_208,c_83]) ).

tcf(c_4627,plain,
    ( sP0
    | sP1
    | sP2 ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_205,c_211,c_4608]) ).

tcf(c_4736,plain,
    ( ( a_select2(s_center7_init,sK3) = s_best7_init )
    | ~ sP2
    | ~ leq(sK3,n2) ),
    inference(superposition,[status(thm)],[c_50,c_84]) ).

tcf(c_4753,plain,
    ~ sP2,
    inference(global_subsumption_just,[status(thm)],[c_51,c_51,c_49,c_4736]) ).

tcf(c_4765,plain,
    ( ( a_select2(s_values7_init,sK4) = s_best7_init )
    | ~ sP1
    | ~ leq(sK4,n3) ),
    inference(superposition,[status(thm)],[c_53,c_83]) ).

tcf(c_4887,plain,
    ( ( a_select2(s_try7_init,sK4) = s_best7_init )
    | ~ sP1
    | ~ leq(n0,sK4) ),
    inference(superposition,[status(thm)],[c_54,c_85]) ).

tcf(c_4935,plain,
    ~ sP1,
    inference(global_subsumption_just,[status(thm)],[c_4765,c_53,c_52,c_4887]) ).

tcf(c_4993,plain,
    ( ( a_select3(simplex7_init,sK6,sK5) = s_best7_init )
    | ~ leq(sK5,n2)
    | ~ leq(sK6,n3)
    | ~ leq(n0,sK5)
    | ~ leq(n0,sK6) ),
    inference(instantiation,[status(thm)],[c_82]) ).

fof(f126,definition,
    ( ~ sP0
    | ? [X5] :
        ( leq(X5,n2)
        & leq(n0,X5)
        & ? [X6] :
            ( leq(X6,n3)
            & leq(n0,X6)
            & init != a_select3(simplex7_init,X6,X5) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f127,definition,
    ( ~ sP1
    | ? [X9] :
        ( leq(X9,minus(n3,n1))
        & leq(n0,X9)
        & init != a_select2(s_try7_init,X9) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f128,definition,
    ( ~ sP2
    | ? [X8] :
        ( leq(X8,n2)
        & leq(n0,X8)
        & init != a_select2(s_center7_init,X8) ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f129,plain,
    ( ( ~ gt(loopcounter,n1)
      | ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init ) )
    & ! [X4] :
        ( ~ leq(X4,minus(n3,n1))
        | ~ leq(n0,X4)
        | a_select2(s_try7_init,X4) = init )
    & ! [X3] :
        ( ~ leq(X3,n2)
        | ~ leq(n0,X3)
        | a_select2(s_center7_init,X3) = init )
    & ! [X2] :
        ( ~ leq(X2,n3)
        | ~ leq(n0,X2)
        | a_select2(s_values7_init,X2) = init )
    & ! [X0] :
        ( ~ leq(X0,n2)
        | ~ leq(n0,X0)
        | ! [X1] :
            ( ~ leq(X1,n3)
            | ~ leq(n0,X1)
            | a_select3(simplex7_init,X1,X0) = init ) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv9,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv9)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init
    & ( ( gt(loopcounter,n1)
        & ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init ) )
      | sP1
      | sP2
      | ? [X7] :
          ( leq(X7,n3)
          & leq(n0,X7)
          & init != a_select2(s_values7_init,X7) )
      | sP0
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init ) ),
    inference(definition_folding,[],[f103,f128,f127,f126]) ).

fof(f136,plain,
    ( ~ sP0
    | ? [X5] :
        ( leq(X5,n2)
        & leq(n0,X5)
        & ? [X6] :
            ( leq(X6,n3)
            & leq(n0,X6)
            & init != a_select3(simplex7_init,X6,X5) ) ) ),
    inference(nnf_transformation,[],[f126]) ).

fof(f137,plain,
    ( ~ sP0
    | ? [X0] :
        ( leq(X0,n2)
        & leq(n0,X0)
        & ? [X1] :
            ( leq(X1,n3)
            & leq(n0,X1)
            & init != a_select3(simplex7_init,X1,X0) ) ) ),
    inference(rectify,[],[f136]) ).

fof(f138,plain,
    ( ~ sP0
    | ( leq(sK5,n2)
      & leq(n0,sK5)
      & leq(sK6,n3)
      & leq(n0,sK6)
      & init != a_select3(simplex7_init,sK6,sK5) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f137]) ).

fof(f150,plain,
    ( ~ sP0
    | leq(sK5,n2) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f151,plain,
    ( ~ sP0
    | leq(n0,sK5) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f152,plain,
    ( ~ sP0
    | leq(sK6,n3) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f153,plain,
    ( ~ sP0
    | leq(n0,sK6) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f154,plain,
    ( ~ sP0
    | init != a_select3(simplex7_init,sK6,sK5) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f266,plain,
    ( ~ sP0
    | s_best7_init != a_select3(simplex7_init,sK6,sK5) ),
    inference(definition_unfolding,[],[f154,f178]) ).

tcf(c_55,negated_conjecture,
    ( ~ sP0
    | ( a_select3(simplex7_init,sK6,sK5) != s_best7_init ) ),
    inference(cnf_transformation,[],[f266]) ).

tcf(c_56,plain,
    ( leq(n0,sK6)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_57,plain,
    ( leq(sK6,n3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_58,plain,
    ( leq(n0,sK5)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_59,plain,
    ( leq(sK5,n2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_4994,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4993,c_4935,c_4753,c_4627,c_55,c_56,c_57,c_58,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV026+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37  % Computer : n018.cluster.edu
% 0.11/5.37  % Model    : x86_64 x86_64
% 0.11/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37  % Memory   : 8046.5625MB
% 0.11/5.37  % OS       : Linux 6.8.0-71-generic
% 0.11/5.37  % CPULimit : 300
% 0.11/5.37  % WCLimit  : 300
% 0.11/5.37  % DateTime : Thu Sep 24 18:22:55 UTC 2026
% 0.11/5.37  % CPUTime  : 
% 0.11/5.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.41  Running first-order theorem proving
% 0.15/5.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.42  
% 0.15/5.42  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42  
% 0.15/5.42  % Detected problem language: tptp
% 0.15/5.43  % Proving...
% 3.51/6.09  % SZS status Started for theBenchmark.p
% 3.51/6.09  % SZS status Theorem for theBenchmark.p
% 3.51/6.09  
% 3.51/6.09  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.51/6.09  
% 3.51/6.09  % ------  iProver source info
% 3.51/6.09  
% 3.51/6.09  % git: date: 2026-07-19 20:42:38 +0200
% 3.51/6.09  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.51/6.09  % git: non_committed_changes: false
% 3.51/6.09  
% 3.51/6.09  % ------ Parsing...
% 3.51/6.09  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.51/6.09  
% 3.51/6.09  % ------ Preprocessing... sup_sim: 10  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 3.51/6.09  
% 3.51/6.09  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.51/6.09  
% 3.51/6.09  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.51/6.09  % ------ Proving...
% 3.51/6.09  % ------ Problem Properties 
% 3.51/6.09  
% 3.51/6.09  % 
% 3.51/6.09  % clauses                               113
% 3.51/6.09  % conjectures                           26
% 3.51/6.09  % EPR                                   74
% 3.51/6.09  % Horn                                  103
% 3.51/6.09  % unary                                 72
% 3.51/6.09  % binary                                24
% 3.51/6.09  % lits                                  191
% 3.51/6.09  % lits eq                               53
% 3.51/6.09  % fd_pure                               0
% 3.51/6.09  % fd_pseudo                             0
% 3.51/6.09  % fd_cond                               6
% 3.51/6.09  % fd_pseudo_cond                        2
% 3.51/6.09  % AC symbols                            0
% 3.51/6.09  
% 3.51/6.09  % ------ Schedule dynamic 5 is on 
% 3.51/6.09  
% 3.51/6.09  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.51/6.09  
% 3.51/6.09  
% 3.51/6.09  % ------ 
% 3.51/6.09  % Current options:
% 3.51/6.09  % ------ 
% 3.51/6.09  
% 3.51/6.09  
% 3.51/6.09  % 
% 3.51/6.09  
% 3.51/6.09  % ------ Proving...
% 3.51/6.09  % 
% 3.51/6.09  
% 3.51/6.09  % SZS status Theorem for theBenchmark.p
% 3.51/6.09  
% 3.51/6.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.51/6.10  
% 3.51/6.10  
%------------------------------------------------------------------------------