TSTP Solution File: SWW306+1 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW306+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:31:58 EDT 2024

% Result   : Theorem 0.57s 0.83s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   39 (  13 unt;   0 def)
%            Number of atoms       :   99 (  12 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  108 (  48   ~;  34   |;  13   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;   8 con; 0-4 aty)
%            Number of variables   :  119 ( 105   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5679,plain,
    $false,
    inference(subsumption_resolution,[],[f5677,f5455]) ).

fof(f5455,plain,
    v_P(sK1,sK2),
    inference(cnf_transformation,[],[f5398]) ).

fof(f5398,plain,
    ( ! [X2,X3] :
        ( ( ~ hBOOL(hAPP(v_Q(sK1),sK3(X2,X3)))
          & ! [X5] :
              ( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
              | ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) )
        | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
    & v_P(sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f5334,f5397,f5396]) ).

fof(f5396,plain,
    ( ? [X0,X1] :
        ( ! [X2,X3] :
            ( ? [X4] :
                ( ~ hBOOL(hAPP(v_Q(X0),X4))
                & ! [X5] :
                    ( hBOOL(hAPP(hAPP(X3,X5),X4))
                    | ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
            | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
        & v_P(X0,X1) )
   => ( ! [X3,X2] :
          ( ? [X4] :
              ( ~ hBOOL(hAPP(v_Q(sK1),X4))
              & ! [X5] :
                  ( hBOOL(hAPP(hAPP(X3,X5),X4))
                  | ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) )
          | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
      & v_P(sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f5397,plain,
    ! [X2,X3] :
      ( ? [X4] :
          ( ~ hBOOL(hAPP(v_Q(sK1),X4))
          & ! [X5] :
              ( hBOOL(hAPP(hAPP(X3,X5),X4))
              | ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) )
     => ( ~ hBOOL(hAPP(v_Q(sK1),sK3(X2,X3)))
        & ! [X5] :
            ( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
            | ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f5334,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ? [X4] :
              ( ~ hBOOL(hAPP(v_Q(X0),X4))
              & ! [X5] :
                  ( hBOOL(hAPP(hAPP(X3,X5),X4))
                  | ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
          | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
      & v_P(X0,X1) ),
    inference(ennf_transformation,[],[f5232]) ).

fof(f5232,plain,
    ~ ! [X0,X1] :
        ( v_P(X0,X1)
       => ? [X2,X3] :
            ( ! [X4] :
                ( ! [X5] :
                    ( hBOOL(hAPP(hAPP(X2,X5),X1))
                   => hBOOL(hAPP(hAPP(X3,X5),X4)) )
               => hBOOL(hAPP(v_Q(X0),X4)) )
            & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
    inference(rectify,[],[f5231]) ).

fof(f5231,negated_conjecture,
    ~ ! [X27,X28] :
        ( v_P(X27,X28)
       => ? [X311,X312] :
            ( ! [X32] :
                ( ! [X33] :
                    ( hBOOL(hAPP(hAPP(X311,X33),X28))
                   => hBOOL(hAPP(hAPP(X312,X33),X32)) )
               => hBOOL(hAPP(v_Q(X27),X32)) )
            & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X311,v_c,X312)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
    inference(negated_conjecture,[],[f5230]) ).

fof(f5230,conjecture,
    ! [X27,X28] :
      ( v_P(X27,X28)
     => ? [X311,X312] :
          ( ! [X32] :
              ( ! [X33] :
                  ( hBOOL(hAPP(hAPP(X311,X33),X28))
                 => hBOOL(hAPP(hAPP(X312,X33),X32)) )
             => hBOOL(hAPP(v_Q(X27),X32)) )
          & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X311,v_c,X312)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5677,plain,
    ~ v_P(sK1,sK2),
    inference(resolution,[],[f5676,f5644]) ).

fof(f5644,plain,
    ! [X1] : hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
    inference(equality_resolution,[],[f5607]) ).

fof(f5607,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(c_fequal,X1),X0))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f5319]) ).

fof(f5319,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(c_fequal,X1),X0))
      | X0 != X1 ),
    inference(rectify,[],[f5215]) ).

fof(f5215,axiom,
    ! [X30,X15] :
      ( hBOOL(hAPP(hAPP(c_fequal,X15),X30))
      | X15 != X30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5676,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal,sK2),X0))
      | ~ v_P(sK1,X0) ),
    inference(duplicate_literal_removal,[],[f5675]) ).

fof(f5675,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_fequal,sK2),X0))
      | ~ v_P(sK1,X0)
      | ~ v_P(sK1,X0) ),
    inference(resolution,[],[f5664,f5659]) ).

fof(f5659,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(v_Q(sK1),sK3(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))
      | ~ v_P(X0,X1) ),
    inference(resolution,[],[f5651,f5649]) ).

fof(f5649,plain,
    ! [X2,X3] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3))))
      | ~ hBOOL(hAPP(v_Q(sK1),sK3(X2,X3))) ),
    inference(forward_demodulation,[],[f5457,f5610]) ).

fof(f5610,plain,
    ! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X0)),
    inference(cnf_transformation,[],[f5322]) ).

fof(f5322,plain,
    ! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X0)),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X5,X4] : hAPP(hAPP(c_Set_Oinsert(X4),X5),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))) = hAPP(c_Set_OCollect(X4),hAPP(c_fequal,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5457,plain,
    ! [X2,X3] :
      ( ~ hBOOL(hAPP(v_Q(sK1),sK3(X2,X3)))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
    inference(cnf_transformation,[],[f5398]) ).

fof(f5651,plain,
    ! [X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0))))))
      | ~ v_P(X0,X1) ),
    inference(forward_demodulation,[],[f5458,f5610]) ).

fof(f5458,plain,
    ! [X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | ~ v_P(X0,X1) ),
    inference(cnf_transformation,[],[f5335]) ).

fof(f5335,plain,
    ! [X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
      | ~ v_P(X0,X1) ),
    inference(ennf_transformation,[],[f5233]) ).

fof(f5233,plain,
    ! [X0,X1] :
      ( v_P(X0,X1)
     => c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
    inference(rectify,[],[f5229]) ).

fof(f5229,axiom,
    ! [X27,X28] :
      ( v_P(X27,X28)
     => c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X28)),v_c,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X27)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5664,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(v_Q(X0),sK3(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))
      | ~ hBOOL(hAPP(hAPP(c_fequal,sK2),X1))
      | ~ v_P(X0,X1) ),
    inference(forward_demodulation,[],[f5663,f5592]) ).

fof(f5592,plain,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),X1),
    inference(cnf_transformation,[],[f5310]) ).

fof(f5310,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),X1),
    inference(rectify,[],[f5212]) ).

fof(f5212,axiom,
    ! [X31,X25,X22,X4,X47,X16] : hAPP(hAPP(hAPP(c_COMBC(X16,X47,X4),X22),X25),X31) = hAPP(hAPP(X22,X31),X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5663,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1),sK2))
      | hBOOL(hAPP(v_Q(X0),sK3(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))
      | ~ v_P(X0,X1) ),
    inference(forward_demodulation,[],[f5662,f5620]) ).

fof(f5620,plain,
    ! [X2,X3,X0,X1] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
    inference(cnf_transformation,[],[f5329]) ).

fof(f5329,plain,
    ! [X0,X1,X2,X3] : hAPP(hAPP(c_COMBK(X3,X2),X1),X0) = X1,
    inference(rectify,[],[f5210]) ).

fof(f5210,axiom,
    ! [X310,X309,X4,X38] : hAPP(hAPP(c_COMBK(X38,X4),X309),X310) = X309,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5662,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(v_Q(X0),sK3(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))
      | ~ v_P(X0,X1)
      | ~ hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),X2),sK2)) ),
    inference(forward_demodulation,[],[f5658,f5620]) ).

fof(f5658,plain,
    ! [X2,X0,X1] :
      ( ~ v_P(X0,X1)
      | hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)),X2),sK3(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),v_Q(X0)))))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),X1)),X2),sK2)) ),
    inference(resolution,[],[f5651,f5650]) ).

fof(f5650,plain,
    ! [X2,X3,X5] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3))))
      | hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
      | ~ hBOOL(hAPP(hAPP(X2,X5),sK2)) ),
    inference(forward_demodulation,[],[f5456,f5610]) ).

fof(f5456,plain,
    ! [X2,X3,X5] :
      ( hBOOL(hAPP(hAPP(X3,X5),sK3(X2,X3)))
      | ~ hBOOL(hAPP(hAPP(X2,X5),sK2))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,X2,v_c,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
    inference(cnf_transformation,[],[f5398]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWW306+1 : TPTP v8.2.0. Released v5.2.0.
% 0.05/0.10  % Command    : run_vampire %s %d THM
% 0.10/0.31  % Computer : n022.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Wed Jun 19 06:25:23 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.32  This is a FOF_CAX_RFO_SEQ problem
% 0.15/0.32  Running first-order theorem proving
% 0.15/0.32  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.78  % (12182)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.78  % (12183)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.57/0.78  % (12182)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.78  % (12187)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.57/0.78  % (12182)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.78  % (12186)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.57/0.78  % (12182)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.78  % (12189)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.57/0.78  % (12182)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.78  % (12184)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.57/0.78  % (12182)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.78  % (12185)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.57/0.81  % (12182)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.81  % (12188)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.57/0.82  % (12187)First to succeed.
% 0.57/0.83  % (12187)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12182"
% 0.57/0.83  % (12182)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.83  % (12187)Refutation found. Thanks to Tanya!
% 0.57/0.83  % SZS status Theorem for theBenchmark
% 0.57/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.83  % (12187)------------------------------
% 0.57/0.83  % (12187)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.57/0.83  % (12187)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.57/0.83  % (12187)Termination reason: Refutation
% 0.57/0.83  
% 0.57/0.83  % (12187)Memory used [KB]: 6559
% 0.57/0.83  % (12187)Time elapsed: 0.044 s
% 0.57/0.83  % (12187)Instructions burned: 82 (million)
% 0.57/0.83  % (12187)------------------------------
% 0.57/0.83  % (12187)------------------------------
% 0.57/0.83  % (12182)Success in time 0.12 s
%------------------------------------------------------------------------------