TSTP Solution File: SWW341+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW341+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n014.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 18:32:07 EDT 2024

% Result   : Theorem 0.51s 0.77s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   42 (   8 unt;   0 def)
%            Number of atoms       :  164 (   0 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  192 (  70   ~;  56   |;  38   &)
%                                         (   1 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   2 prp; 0-4 aty)
%            Number of functors    :   19 (  19 usr;   8 con; 0-3 aty)
%            Number of variables   :  133 ( 105   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5926,plain,
    $false,
    inference(avatar_sat_refutation,[],[f5799,f5911]) ).

fof(f5911,plain,
    spl30_2,
    inference(avatar_split_clause,[],[f5905,f5738]) ).

fof(f5738,plain,
    ( spl30_2
  <=> ! [X0] :
        ( ~ hBOOL(hAPP(hAPP(sK4(sK1,sK2),X0),sK2))
        | hBOOL(hAPP(hAPP(sK5(sK1,sK2),X0),sK3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).

fof(f5905,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(sK4(sK1,sK2),X0),sK2))
      | hBOOL(hAPP(hAPP(sK5(sK1,sK2),X0),sK3)) ),
    inference(resolution,[],[f5725,f5454]) ).

fof(f5454,plain,
    c_Natural_Oevaln(v_c,sK2,v_n,sK3),
    inference(cnf_transformation,[],[f5387]) ).

fof(f5387,plain,
    ( ~ v_Q(sK1,sK3)
    & c_Natural_Oevaln(v_c,sK2,v_n,sK3)
    & v_P(sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f5310,f5386,f5385]) ).

fof(f5385,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ~ v_Q(X0,X2)
            & c_Natural_Oevaln(v_c,X1,v_n,X2) )
        & v_P(X0,X1) )
   => ( ? [X2] :
          ( ~ v_Q(sK1,X2)
          & c_Natural_Oevaln(v_c,sK2,v_n,X2) )
      & v_P(sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f5386,plain,
    ( ? [X2] :
        ( ~ v_Q(sK1,X2)
        & c_Natural_Oevaln(v_c,sK2,v_n,X2) )
   => ( ~ v_Q(sK1,sK3)
      & c_Natural_Oevaln(v_c,sK2,v_n,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f5310,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ v_Q(X0,X2)
          & c_Natural_Oevaln(v_c,X1,v_n,X2) )
      & v_P(X0,X1) ),
    inference(ennf_transformation,[],[f5228]) ).

fof(f5228,plain,
    ~ ! [X0,X1] :
        ( v_P(X0,X1)
       => ! [X2] :
            ( c_Natural_Oevaln(v_c,X1,v_n,X2)
           => v_Q(X0,X2) ) ),
    inference(rectify,[],[f5227]) ).

fof(f5227,negated_conjecture,
    ~ ! [X10,X11] :
        ( v_P(X10,X11)
       => ! [X12] :
            ( c_Natural_Oevaln(v_c,X11,v_n,X12)
           => v_Q(X10,X12) ) ),
    inference(negated_conjecture,[],[f5226]) ).

fof(f5226,conjecture,
    ! [X10,X11] :
      ( v_P(X10,X11)
     => ! [X12] :
          ( c_Natural_Oevaln(v_c,X11,v_n,X12)
         => v_Q(X10,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5725,plain,
    ! [X2,X0,X1] :
      ( ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
      | ~ hBOOL(hAPP(hAPP(sK4(sK1,sK2),X0),X1))
      | hBOOL(hAPP(hAPP(sK5(sK1,sK2),X0),X2)) ),
    inference(subsumption_resolution,[],[f5721,f5687]) ).

fof(f5687,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Natural_Oevaln(v_c,X0,X1,X2)
      | ~ hBOOL(hAPP(hAPP(sK4(sK1,sK2),X3),X0))
      | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK7(X1)),v_G))
      | hBOOL(hAPP(hAPP(sK5(sK1,sK2),X3),X2)) ),
    inference(resolution,[],[f5458,f5453]) ).

fof(f5453,plain,
    v_P(sK1,sK2),
    inference(cnf_transformation,[],[f5387]) ).

fof(f5458,plain,
    ! [X0,X1,X8,X6,X9,X7] :
      ( ~ v_P(X0,X1)
      | ~ c_Natural_Oevaln(v_c,X8,X6,X9)
      | ~ hBOOL(hAPP(hAPP(sK4(X0,X1),X7),X8))
      | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK7(X6)),v_G))
      | hBOOL(hAPP(hAPP(sK5(X0,X1),X7),X9)) ),
    inference(cnf_transformation,[],[f5392]) ).

fof(f5392,plain,
    ! [X0,X1] :
      ( ( ! [X4] :
            ( v_Q(X0,X4)
            | ( ~ hBOOL(hAPP(hAPP(sK5(X0,X1),sK6(X0,X1,X4)),X4))
              & hBOOL(hAPP(hAPP(sK4(X0,X1),sK6(X0,X1,X4)),X1)) ) )
        & ! [X6] :
            ( ! [X7,X8] :
                ( ! [X9] :
                    ( hBOOL(hAPP(hAPP(sK5(X0,X1),X7),X9))
                    | ~ c_Natural_Oevaln(v_c,X8,X6,X9) )
                | ~ hBOOL(hAPP(hAPP(sK4(X0,X1),X7),X8)) )
            | ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,sK7(X6))
              & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK7(X6)),v_G)) ) )
        & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),sK4(X0,X1)),v_c),sK5(X0,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
      | ~ v_P(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f5388,f5391,f5390,f5389]) ).

fof(f5389,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ! [X4] :
              ( v_Q(X0,X4)
              | ? [X5] :
                  ( ~ hBOOL(hAPP(hAPP(X3,X5),X4))
                  & hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
          & ! [X6] :
              ( ! [X7,X8] :
                  ( ! [X9] :
                      ( hBOOL(hAPP(hAPP(X3,X7),X9))
                      | ~ c_Natural_Oevaln(v_c,X8,X6,X9) )
                  | ~ hBOOL(hAPP(hAPP(X2,X7),X8)) )
              | ? [X10] :
                  ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X10)
                  & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X10),v_G)) ) )
          & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(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)))) )
     => ( ! [X4] :
            ( v_Q(X0,X4)
            | ? [X5] :
                ( ~ hBOOL(hAPP(hAPP(sK5(X0,X1),X5),X4))
                & hBOOL(hAPP(hAPP(sK4(X0,X1),X5),X1)) ) )
        & ! [X6] :
            ( ! [X8,X7] :
                ( ! [X9] :
                    ( hBOOL(hAPP(hAPP(sK5(X0,X1),X7),X9))
                    | ~ c_Natural_Oevaln(v_c,X8,X6,X9) )
                | ~ hBOOL(hAPP(hAPP(sK4(X0,X1),X7),X8)) )
            | ? [X10] :
                ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X10)
                & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X10),v_G)) ) )
        & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),sK4(X0,X1)),v_c),sK5(X0,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f5390,plain,
    ! [X0,X1,X4] :
      ( ? [X5] :
          ( ~ hBOOL(hAPP(hAPP(sK5(X0,X1),X5),X4))
          & hBOOL(hAPP(hAPP(sK4(X0,X1),X5),X1)) )
     => ( ~ hBOOL(hAPP(hAPP(sK5(X0,X1),sK6(X0,X1,X4)),X4))
        & hBOOL(hAPP(hAPP(sK4(X0,X1),sK6(X0,X1,X4)),X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5391,plain,
    ! [X6] :
      ( ? [X10] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X10)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X10),v_G)) )
     => ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,sK7(X6))
        & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK7(X6)),v_G)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5388,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ! [X4] :
              ( v_Q(X0,X4)
              | ? [X5] :
                  ( ~ hBOOL(hAPP(hAPP(X3,X5),X4))
                  & hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
          & ! [X6] :
              ( ! [X7,X8] :
                  ( ! [X9] :
                      ( hBOOL(hAPP(hAPP(X3,X7),X9))
                      | ~ c_Natural_Oevaln(v_c,X8,X6,X9) )
                  | ~ hBOOL(hAPP(hAPP(X2,X7),X8)) )
              | ? [X10] :
                  ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X10)
                  & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X10),v_G)) ) )
          & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(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(rectify,[],[f5312]) ).

fof(f5312,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ! [X4] :
              ( v_Q(X0,X4)
              | ? [X5] :
                  ( ~ hBOOL(hAPP(hAPP(X3,X5),X4))
                  & hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
          & ! [X6] :
              ( ! [X8,X9] :
                  ( ! [X10] :
                      ( hBOOL(hAPP(hAPP(X3,X8),X10))
                      | ~ c_Natural_Oevaln(v_c,X9,X6,X10) )
                  | ~ hBOOL(hAPP(hAPP(X2,X8),X9)) )
              | ? [X7] :
                  ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X7)
                  & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X7),v_G)) ) )
          & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(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,[],[f5230]) ).

fof(f5230,plain,
    ! [X0,X1] :
      ( v_P(X0,X1)
     => ? [X2,X3] :
          ( ! [X4] :
              ( ! [X5] :
                  ( hBOOL(hAPP(hAPP(X2,X5),X1))
                 => hBOOL(hAPP(hAPP(X3,X5),X4)) )
             => v_Q(X0,X4) )
          & ! [X6] :
              ( ! [X7] :
                  ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X7),v_G))
                 => c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X7) )
             => ! [X8,X9] :
                  ( hBOOL(hAPP(hAPP(X2,X8),X9))
                 => ! [X10] :
                      ( c_Natural_Oevaln(v_c,X9,X6,X10)
                     => hBOOL(hAPP(hAPP(X3,X8),X10)) ) ) )
          & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(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,[],[f5224]) ).

fof(f5224,axiom,
    ! [X10,X11] :
      ( v_P(X10,X11)
     => ? [X321,X322] :
          ( ! [X12] :
              ( ! [X40] :
                  ( hBOOL(hAPP(hAPP(X321,X40),X11))
                 => hBOOL(hAPP(hAPP(X322,X40),X12)) )
             => v_Q(X10,X12) )
          & ! [X24] :
              ( ! [X2] :
                  ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
                 => c_Hoare__Mirabelle_Otriple__valid(t_a,X24,X2) )
             => ! [X323,X324] :
                  ( hBOOL(hAPP(hAPP(X321,X323),X324))
                 => ! [X12] :
                      ( c_Natural_Oevaln(v_c,X324,X24,X12)
                     => hBOOL(hAPP(hAPP(X322,X323),X12)) ) ) )
          & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X321),v_c),X322)),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(f5721,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(sK4(sK1,sK2),X0),X1))
      | ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
      | hBOOL(hAPP(hAPP(sK5(sK1,sK2),X0),X2))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK7(v_n)),v_G)) ),
    inference(resolution,[],[f5686,f5456]) ).

fof(f5456,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0)
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) ),
    inference(cnf_transformation,[],[f5311]) ).

fof(f5311,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0)
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) ),
    inference(ennf_transformation,[],[f5229]) ).

fof(f5229,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
     => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0) ),
    inference(rectify,[],[f5225]) ).

fof(f5225,axiom,
    ! [X2] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
     => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5686,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,sK7(X1))
      | ~ hBOOL(hAPP(hAPP(sK4(sK1,sK2),X3),X0))
      | ~ c_Natural_Oevaln(v_c,X0,X1,X2)
      | hBOOL(hAPP(hAPP(sK5(sK1,sK2),X3),X2)) ),
    inference(resolution,[],[f5459,f5453]) ).

fof(f5459,plain,
    ! [X0,X1,X8,X6,X9,X7] :
      ( ~ v_P(X0,X1)
      | ~ c_Natural_Oevaln(v_c,X8,X6,X9)
      | ~ hBOOL(hAPP(hAPP(sK4(X0,X1),X7),X8))
      | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,sK7(X6))
      | hBOOL(hAPP(hAPP(sK5(X0,X1),X7),X9)) ),
    inference(cnf_transformation,[],[f5392]) ).

fof(f5799,plain,
    ~ spl30_2,
    inference(avatar_contradiction_clause,[],[f5798]) ).

fof(f5798,plain,
    ( $false
    | ~ spl30_2 ),
    inference(subsumption_resolution,[],[f5789,f5697]) ).

fof(f5697,plain,
    hBOOL(hAPP(hAPP(sK4(sK1,sK2),sK6(sK1,sK2,sK3)),sK2)),
    inference(resolution,[],[f5683,f5453]) ).

fof(f5683,plain,
    ! [X0] :
      ( ~ v_P(sK1,X0)
      | hBOOL(hAPP(hAPP(sK4(sK1,X0),sK6(sK1,X0,sK3)),X0)) ),
    inference(resolution,[],[f5460,f5455]) ).

fof(f5455,plain,
    ~ v_Q(sK1,sK3),
    inference(cnf_transformation,[],[f5387]) ).

fof(f5460,plain,
    ! [X0,X1,X4] :
      ( v_Q(X0,X4)
      | hBOOL(hAPP(hAPP(sK4(X0,X1),sK6(X0,X1,X4)),X1))
      | ~ v_P(X0,X1) ),
    inference(cnf_transformation,[],[f5392]) ).

fof(f5789,plain,
    ( ~ hBOOL(hAPP(hAPP(sK4(sK1,sK2),sK6(sK1,sK2,sK3)),sK2))
    | ~ spl30_2 ),
    inference(resolution,[],[f5739,f5698]) ).

fof(f5698,plain,
    ~ hBOOL(hAPP(hAPP(sK5(sK1,sK2),sK6(sK1,sK2,sK3)),sK3)),
    inference(resolution,[],[f5684,f5453]) ).

fof(f5684,plain,
    ! [X0] :
      ( ~ v_P(sK1,X0)
      | ~ hBOOL(hAPP(hAPP(sK5(sK1,X0),sK6(sK1,X0,sK3)),sK3)) ),
    inference(resolution,[],[f5461,f5455]) ).

fof(f5461,plain,
    ! [X0,X1,X4] :
      ( v_Q(X0,X4)
      | ~ hBOOL(hAPP(hAPP(sK5(X0,X1),sK6(X0,X1,X4)),X4))
      | ~ v_P(X0,X1) ),
    inference(cnf_transformation,[],[f5392]) ).

fof(f5739,plain,
    ( ! [X0] :
        ( hBOOL(hAPP(hAPP(sK5(sK1,sK2),X0),sK3))
        | ~ hBOOL(hAPP(hAPP(sK4(sK1,sK2),X0),sK2)) )
    | ~ spl30_2 ),
    inference(avatar_component_clause,[],[f5738]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWW341+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Jun 19 05:07:24 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.18/0.36  This is a FOF_CAX_RFO_SEQ problem
% 0.18/0.36  Running first-order theorem proving
% 0.18/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.72  % (2710)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (2711)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.51/0.72  % (2710)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (2715)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.51/0.72  % (2710)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (2714)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.51/0.72  % (2710)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (2712)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)
% 0.51/0.72  % (2710)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (2717)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)
% 0.51/0.72  % (2710)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (2716)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.51/0.72  % (2710)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (2713)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)
% 0.51/0.76  % (2716)First to succeed.
% 0.51/0.76  % (2716)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2710"
% 0.51/0.77  % (2710)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.77  % (2716)Refutation found. Thanks to Tanya!
% 0.51/0.77  % SZS status Theorem for theBenchmark
% 0.51/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.77  % (2716)------------------------------
% 0.51/0.77  % (2716)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.51/0.77  % (2716)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.51/0.77  % (2716)Termination reason: Refutation
% 0.51/0.77  
% 0.51/0.77  % (2716)Memory used [KB]: 6384
% 0.51/0.77  % (2716)Time elapsed: 0.049 s
% 0.51/0.77  % (2716)Instructions burned: 71 (million)
% 0.51/0.77  % (2716)------------------------------
% 0.51/0.77  % (2716)------------------------------
% 0.51/0.77  % (2710)Success in time 0.124 s
%------------------------------------------------------------------------------