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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV029+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:16:15 PM UTC 2026

% Result   : Theorem 6.25s 6.77s
% Output   : CNFRefutation 6.25s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f284ERROR: Could not build tree for root c_15184ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,axiom,
    ! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).

fof(f49,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( a_select2(X2,X1) = X3
        & X0 != X1 )
     => a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).

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(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv1376)
      & 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(tptp_update2(s_values7_init,pv1376,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(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & 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/sandbox2/benchmark/theBenchmark.p',gauss_init_0029) ).

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(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv1376)
        & 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(tptp_update2(s_values7_init,pv1376,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(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & 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(f87,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(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & 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(tptp_update2(s_values7_init,pv1376,init),X7) )
      | ? [X5] :
          ( leq(X5,n2)
          & leq(n0,X5)
          & ? [X6] :
              ( leq(X6,n3)
              & leq(n0,X6)
              & init != a_select3(simplex7_init,X6,X5) ) )
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ 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(f88,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(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & 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(tptp_update2(s_values7_init,pv1376,init),X7) )
      | ? [X5] :
          ( leq(X5,n2)
          & leq(n0,X5)
          & ? [X6] :
              ( leq(X6,n3)
              & leq(n0,X6)
              & init != a_select3(simplex7_init,X6,X5) ) )
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ 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,[],[f87]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(X2,X1) != X3
      | X0 = X1
      | a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(ennf_transformation,[],[f49]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(X2,X1) != X3
      | X0 = X1
      | a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(flattening,[],[f102]) ).

fof(f119,plain,
    ( ~ sP2
    | ? [X8] :
        ( leq(X8,n2)
        & leq(n0,X8)
        & init != a_select2(s_center7_init,X8) ) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f120,plain,
    ( ~ sP2
    | ? [X0] :
        ( leq(X0,n2)
        & leq(n0,X0)
        & init != a_select2(s_center7_init,X0) ) ),
    inference(rectify,[],[f119]) ).

fof(f121,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)],[f120]) ).

fof(f122,plain,
    ( ~ sP1
    | ? [X9] :
        ( leq(X9,minus(n3,n1))
        & leq(n0,X9)
        & init != a_select2(s_try7_init,X9) ) ),
    inference(nnf_transformation,[],[f116]) ).

fof(f123,plain,
    ( ~ sP1
    | ? [X0] :
        ( leq(X0,minus(n3,n1))
        & leq(n0,X0)
        & init != a_select2(s_try7_init,X0) ) ),
    inference(rectify,[],[f122]) ).

fof(f124,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)],[f123]) ).

fof(f128,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(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & 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(tptp_update2(s_values7_init,pv1376,init),X0) )
      | sP0
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ 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,[],[f118]) ).

fof(f129,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(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & 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(tptp_update2(s_values7_init,pv1376,init),sK7) )
      | sP0
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ 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)],[f128]) ).

fof(f134,plain,
    ( ~ sP2
    | leq(sK3,n2) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f135,plain,
    ( ~ sP2
    | leq(n0,sK3) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f136,plain,
    ( ~ sP2
    | init != a_select2(s_center7_init,sK3) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f137,plain,
    ( ~ sP1
    | leq(sK4,minus(n3,n1)) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f138,plain,
    ( ~ sP1
    | leq(n0,sK4) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f139,plain,
    ( ~ sP1
    | init != a_select2(s_try7_init,sK4) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f145,plain,
    ( ~ gt(loopcounter,n1)
    | init = pvar1402_init ),
    inference(cnf_transformation,[],[f129]) ).

fof(f146,plain,
    ( ~ gt(loopcounter,n1)
    | init = pvar1401_init ),
    inference(cnf_transformation,[],[f129]) ).

fof(f147,plain,
    ( ~ gt(loopcounter,n1)
    | init = pvar1400_init ),
    inference(cnf_transformation,[],[f129]) ).

fof(f148,plain,
    ! [X5] :
      ( ~ leq(X5,minus(n3,n1))
      | ~ leq(n0,X5)
      | init = a_select2(s_try7_init,X5) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f149,plain,
    ! [X4] :
      ( ~ leq(X4,n2)
      | ~ leq(n0,X4)
      | init = a_select2(s_center7_init,X4) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f150,plain,
    ! [X3] :
      ( ~ leq(X3,n3)
      | ~ leq(n0,X3)
      | init = a_select2(s_values7_init,X3) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f151,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,[],[f129]) ).

fof(f153,plain,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f129]) ).

fof(f154,plain,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f129]) ).

fof(f155,plain,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f129]) ).

fof(f157,plain,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f129]) ).

fof(f158,plain,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f129]) ).

fof(f159,plain,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f129]) ).

fof(f160,plain,
    init = s_worst7_init,
    inference(cnf_transformation,[],[f129]) ).

fof(f161,plain,
    init = s_sworst7_init,
    inference(cnf_transformation,[],[f129]) ).

fof(f162,plain,
    init = s_best7_init,
    inference(cnf_transformation,[],[f129]) ).

fof(f188,plain,
    ! [X2,X3,X0,X1,X4] :
      ( a_select2(X2,X1) != X3
      | X0 = X1
      | a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f189,plain,
    ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f48]) ).

fof(f238,plain,
    ( ~ sP2
    | s_best7_init != a_select2(s_center7_init,sK3) ),
    inference(definition_unfolding,[],[f136,f162]) ).

fof(f239,plain,
    ( ~ sP1
    | s_best7_init != a_select2(s_try7_init,sK4) ),
    inference(definition_unfolding,[],[f139,f162]) ).

fof(f248,plain,
    s_best7_init = s_sworst7_init,
    inference(definition_unfolding,[],[f161,f162]) ).

fof(f249,plain,
    s_best7_init = s_worst7_init,
    inference(definition_unfolding,[],[f160,f162]) ).

fof(f250,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,[],[f151,f162]) ).

fof(f251,plain,
    ! [X3] :
      ( ~ leq(X3,n3)
      | ~ leq(n0,X3)
      | s_best7_init = a_select2(s_values7_init,X3) ),
    inference(definition_unfolding,[],[f150,f162]) ).

fof(f252,plain,
    ! [X4] :
      ( ~ leq(X4,n2)
      | ~ leq(n0,X4)
      | s_best7_init = a_select2(s_center7_init,X4) ),
    inference(definition_unfolding,[],[f149,f162]) ).

fof(f253,plain,
    ! [X5] :
      ( ~ leq(X5,minus(n3,n1))
      | ~ leq(n0,X5)
      | s_best7_init = a_select2(s_try7_init,X5) ),
    inference(definition_unfolding,[],[f148,f162]) ).

fof(f254,plain,
    ( ~ gt(loopcounter,n1)
    | s_best7_init = pvar1400_init ),
    inference(definition_unfolding,[],[f147,f162]) ).

fof(f255,plain,
    ( ~ gt(loopcounter,n1)
    | s_best7_init = pvar1401_init ),
    inference(definition_unfolding,[],[f146,f162]) ).

fof(f256,plain,
    ( ~ gt(loopcounter,n1)
    | s_best7_init = pvar1402_init ),
    inference(definition_unfolding,[],[f145,f162]) ).

fof(f283,plain,
    ! [X2,X0,X1,X4] :
      ( X0 = X1
      | a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1) ),
    inference(equality_resolution,[],[f188]) ).

tcf(c_49,negated_conjecture,
    ( ~ sP2
    | ( a_select2(s_center7_init,sK3) != s_best7_init ) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_50,plain,
    ( leq(n0,sK3)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_51,plain,
    ( leq(sK3,n2)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_52,negated_conjecture,
    ( ~ sP1
    | ( a_select2(s_try7_init,sK4) != s_best7_init ) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_53,plain,
    ( leq(n0,sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_54,plain,
    ( leq(sK4,minus(n3,n1))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_60,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( 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(tptp_update2(s_values7_init,pv1376,s_best7_init),sK7) != s_best7_init ) ),
    inference(cnf_transformation,[],[f284]) ).

tcf(c_61,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( s_best7_init != s_best7_init )
    | ( a_select2(tptp_update2(s_values7_init,pv1376,s_best7_init),sK7) != s_best7_init ) ),
    inference(cnf_transformation,[],[f285]) ).

tcf(c_62,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | leq(n0,sK7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( 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,[],[f286]) ).

tcf(c_63,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(n0,sK7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( s_best7_init != s_best7_init ) ),
    inference(cnf_transformation,[],[f287]) ).

tcf(c_64,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | leq(sK7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( 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,[],[f288]) ).

tcf(c_65,negated_conjecture,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(sK7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( s_best7_init != s_best7_init ) ),
    inference(cnf_transformation,[],[f289]) ).

tcf(c_66,negated_conjecture,
    s_best7_init = s_sworst7_init,
    inference(cnf_transformation,[],[f248]) ).

tcf(c_67,negated_conjecture,
    s_best7_init = s_worst7_init,
    inference(cnf_transformation,[],[f249]) ).

tcf(c_68,negated_conjecture,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_69,negated_conjecture,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_70,negated_conjecture,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_72,negated_conjecture,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_73,negated_conjecture,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_74,negated_conjecture,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_76,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,[],[f250]) ).

tcf(c_77,negated_conjecture,
    ! [X0: $i] :
      ( ( a_select2(s_values7_init,X0) = s_best7_init )
      | ~ leq(n0,X0)
      | ~ leq(X0,n3) ),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_78,negated_conjecture,
    ! [X0: $i] :
      ( ( a_select2(s_center7_init,X0) = s_best7_init )
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_79,negated_conjecture,
    ! [X0: $i] :
      ( ( a_select2(s_try7_init,X0) = s_best7_init )
      | ~ leq(n0,X0)
      | ~ leq(X0,minus(n3,n1)) ),
    inference(cnf_transformation,[],[f253]) ).

tcf(c_80,negated_conjecture,
    ( ( s_best7_init = pvar1400_init )
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f254]) ).

tcf(c_81,negated_conjecture,
    ( ( s_best7_init = pvar1401_init )
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f255]) ).

tcf(c_82,negated_conjecture,
    ( ( s_best7_init = pvar1402_init )
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f256]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ( a_select2(tptp_update2(X0,X1,X2),X3) = a_select2(X0,X3) ) ),
    inference(cnf_transformation,[],[f283]) ).

tcf(c_102,plain,
    ! [X0: $i,X1: $i,X2: $i] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f189]) ).

tcf(c_181,plain,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(sK7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_65]) ).

tcf(c_184,plain,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | leq(n0,sK7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_63]) ).

tcf(c_187,plain,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( s_best7_init != s_worst7_init )
    | ( s_best7_init != s_sworst7_init )
    | ( a_select2(tptp_update2(s_values7_init,pv1376,s_best7_init),sK7) != s_best7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_61]) ).

tcf(c_188,plain,
    ( sP0
    | sP1
    | sP2
    | gt(loopcounter,n1)
    | ( a_select2(tptp_update2(s_values7_init,pv1376,s_best7_init),sK7) != s_best7_init ) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_187]) ).

tcf(c_190,plain,
    ( sP0
    | sP1
    | sP2
    | leq(sK7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( 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_191,plain,
    ( sP0
    | sP1
    | sP2
    | leq(sK7,n3) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_82,c_81,c_80,c_181,c_190]) ).

tcf(c_193,plain,
    ( sP0
    | sP1
    | sP2
    | leq(n0,sK7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( 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_194,plain,
    ( sP0
    | sP1
    | sP2
    | leq(n0,sK7) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_82,c_81,c_80,c_184,c_193]) ).

tcf(c_196,plain,
    ( sP0
    | sP1
    | sP2
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ( 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(tptp_update2(s_values7_init,pv1376,s_best7_init),sK7) != s_best7_init ) ),
    inference(equality_resolution_simp,[status(thm)],[c_60]) ).

tcf(c_197,plain,
    ( sP0
    | sP1
    | sP2
    | ( a_select2(tptp_update2(s_values7_init,pv1376,s_best7_init),sK7) != s_best7_init ) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_82,c_81,c_80,c_188,c_196]) ).

tcf(c_4560,plain,
    ( sP0
    | sP1
    | sP2
    | ( a_select2(s_values7_init,sK7) = s_best7_init )
    | ~ leq(sK7,n3) ),
    inference(superposition,[status(thm)],[c_194,c_77]) ).

tcf(c_4584,plain,
    ( ( a_select2(s_center7_init,sK3) = s_best7_init )
    | ~ sP2
    | ~ leq(sK3,n2) ),
    inference(superposition,[status(thm)],[c_50,c_78]) ).

tcf(c_4622,plain,
    ~ sP2,
    inference(global_subsumption_just,[status(thm)],[c_51,c_51,c_49,c_4584]) ).

tcf(c_4624,plain,
    ( sP0
    | sP1
    | leq(n0,sK7) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_194,c_4622]) ).

tcf(c_4710,plain,
    ( sP0
    | sP1
    | ( a_select2(s_values7_init,sK7) = s_best7_init )
    | ~ leq(sK7,n3) ),
    inference(superposition,[status(thm)],[c_4624,c_77]) ).

tcf(c_4774,plain,
    ( ( a_select2(s_try7_init,sK4) = s_best7_init )
    | ~ sP1
    | ~ leq(n0,sK4) ),
    inference(superposition,[status(thm)],[c_54,c_79]) ).

tcf(c_4821,plain,
    ( sP0
    | ( a_select2(s_values7_init,sK7) = s_best7_init ) ),
    inference(global_subsumption_just,[status(thm)],[c_4710,c_53,c_51,c_52,c_49,c_191,c_4560,c_4584,c_4774]) ).

tcf(c_4833,plain,
    ~ sP1,
    inference(global_subsumption_just,[status(thm)],[c_4774,c_53,c_52,c_4774]) ).

tcf(c_4838,plain,
    ( sP0
    | ( a_select2(tptp_update2(s_values7_init,pv1376,s_best7_init),sK7) != s_best7_init ) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_197,c_4622,c_4833]) ).

fof(f115,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(f116,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(f117,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(f118,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(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & 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(tptp_update2(s_values7_init,pv1376,init),X7) )
      | sP0
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ 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,[],[f88,f117,f116,f115]) ).

fof(f125,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,[],[f115]) ).

fof(f126,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,[],[f125]) ).

fof(f127,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)],[f126]) ).

fof(f140,plain,
    ( ~ sP0
    | leq(sK5,n2) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f141,plain,
    ( ~ sP0
    | leq(n0,sK5) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f142,plain,
    ( ~ sP0
    | leq(sK6,n3) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f143,plain,
    ( ~ sP0
    | leq(n0,sK6) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f144,plain,
    ( ~ sP0
    | init != a_select3(simplex7_init,sK6,sK5) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f240,plain,
    ( ~ sP0
    | s_best7_init != a_select3(simplex7_init,sK6,sK5) ),
    inference(definition_unfolding,[],[f144,f162]) ).

tcf(c_55,negated_conjecture,
    ( ~ sP0
    | ( a_select3(simplex7_init,sK6,sK5) != s_best7_init ) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_56,plain,
    ( leq(n0,sK6)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_57,plain,
    ( leq(sK6,n3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_58,plain,
    ( leq(n0,sK5)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_59,plain,
    ( leq(sK5,n2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_4655,plain,
    ! [X0: $i] :
      ( ( a_select3(simplex7_init,sK6,X0) = s_best7_init )
      | ~ sP0
      | ~ leq(sK6,n3)
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(superposition,[status(thm)],[c_56,c_76]) ).

tcf(c_11563,plain,
    ! [X0: $i] :
      ( ( a_select3(simplex7_init,sK6,X0) = s_best7_init )
      | ~ sP0
      | ~ leq(X0,n2)
      | ~ leq(n0,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_4655,c_57,c_4655]) ).

tcf(c_11564,plain,
    ! [X0: $i] :
      ( ( a_select3(simplex7_init,sK6,X0) = s_best7_init )
      | ~ sP0
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(renaming,[status(thm)],[c_11563]) ).

tcf(c_11575,plain,
    ( ( a_select3(simplex7_init,sK6,sK5) = s_best7_init )
    | ~ sP0
    | ~ leq(sK5,n2) ),
    inference(superposition,[status(thm)],[c_58,c_11564]) ).

tcf(c_11576,plain,
    ( ( a_select3(simplex7_init,sK6,s_best7) = s_best7_init )
    | ~ sP0
    | ~ leq(s_best7,n2) ),
    inference(superposition,[status(thm)],[c_68,c_11564]) ).

tcf(c_11723,plain,
    ~ sP0,
    inference(global_subsumption_just,[status(thm)],[c_11576,c_59,c_55,c_11575]) ).

tcf(c_11730,plain,
    a_select2(tptp_update2(s_values7_init,pv1376,s_best7_init),sK7) != s_best7_init,
    inference(backward_subsumption_resolution,[status(thm)],[c_4838,c_11723]) ).

tcf(c_11732,plain,
    a_select2(s_values7_init,sK7) = s_best7_init,
    inference(backward_subsumption_resolution,[status(thm)],[c_4821,c_11723]) ).

tcf(c_15093,plain,
    ( ( pv1376 = sK7 )
    | ( a_select2(s_values7_init,sK7) != s_best7_init ) ),
    inference(superposition,[status(thm)],[c_101,c_11730]) ).

tcf(c_15095,plain,
    pv1376 = sK7,
    inference(ground_joinability,[status(thm)],[c_15093,c_11732]) ).

tcf(c_15100,plain,
    a_select2(tptp_update2(s_values7_init,sK7,s_best7_init),sK7) != s_best7_init,
    inference(demodulation,[status(thm)],[c_11730,c_15095]) ).

tcf(c_15184,plain,
    $false,
    inference(ground_joinability,[status(thm)],[c_15100,c_102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV029+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.39  % Computer : n007.cluster.edu
% 0.10/5.39  % Model    : x86_64 x86_64
% 0.10/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39  % Memory   : 8046.5625MB
% 0.10/5.39  % OS       : Linux 6.8.0-71-generic
% 0.10/5.39  % CPULimit : 300
% 0.10/5.39  % WCLimit  : 300
% 0.10/5.39  % DateTime : Thu Sep 24 18:20:30 UTC 2026
% 0.10/5.40  % CPUTime  : 
% 0.10/5.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.43  Running first-order theorem proving
% 0.15/5.43  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.45  
% 0.15/5.45  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.45  
% 0.15/5.45  % Detected problem language: tptp
% 0.15/5.46  % Proving...
% 6.25/6.77  % SZS status Started for theBenchmark.p
% 6.25/6.77  % SZS status Theorem for theBenchmark.p
% 6.25/6.77  
% 6.25/6.77  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.25/6.77  
% 6.25/6.77  % ------  iProver source info
% 6.25/6.77  
% 6.25/6.77  % git: date: 2026-07-19 20:42:38 +0200
% 6.25/6.77  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.25/6.77  % git: non_committed_changes: false
% 6.25/6.77  
% 6.25/6.77  % ------ Parsing...
% 6.25/6.77  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 6.25/6.77  
% 6.25/6.77  % ------ 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 % 
% 6.25/6.77  
% 6.25/6.77  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 6.25/6.77  
% 6.25/6.77  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.25/6.77  % ------ Proving...
% 6.25/6.77  % ------ Problem Properties 
% 6.25/6.77  
% 6.25/6.77  % 
% 6.25/6.77  % clauses                               97
% 6.25/6.77  % conjectures                           20
% 6.25/6.77  % EPR                                   56
% 6.25/6.77  % Horn                                  84
% 6.25/6.77  % unary                                 52
% 6.25/6.77  % binary                                25
% 6.25/6.77  % lits                                  185
% 6.25/6.77  % lits eq                               60
% 6.25/6.77  % fd_pure                               0
% 6.25/6.77  % fd_pseudo                             0
% 6.25/6.77  % fd_cond                               6
% 6.25/6.77  % fd_pseudo_cond                        3
% 6.25/6.77  % AC symbols                            0
% 6.25/6.77  
% 6.25/6.77  % ------ Schedule dynamic 5 is on 
% 6.25/6.77  
% 6.25/6.77  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.25/6.77  
% 6.25/6.77  
% 6.25/6.77  % ------ 
% 6.25/6.77  % Current options:
% 6.25/6.77  % ------ 
% 6.25/6.77  
% 6.25/6.77  
% 6.25/6.77  % 
% 6.25/6.77  
% 6.25/6.77  % ------ Proving...
% 6.25/6.77  % 
% 6.25/6.77  
% 6.25/6.77  % SZS status Theorem for theBenchmark.p
% 6.25/6.77  
% 6.25/6.77  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.25/6.77  
% 6.25/6.77  
%------------------------------------------------------------------------------