TSTP Solution File: SWW340+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW340+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 18:32:06 EDT 2024

% Result   : Theorem 3.03s 1.30s
% Output   : Refutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   74 (   7 unt;   0 def)
%            Number of atoms       :  261 (   7 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  288 ( 101   ~; 104   |;  47   &)
%                                         (  13 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-4 aty)
%            Number of functors    :   21 (  21 usr;   7 con; 0-4 aty)
%            Number of variables   :  193 ( 162   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8248,plain,
    $false,
    inference(avatar_sat_refutation,[],[f5629,f5666,f5671,f5676,f5749,f5754,f8141,f8146,f8247]) ).

fof(f8247,plain,
    ( spl25_47
    | ~ spl25_48 ),
    inference(avatar_contradiction_clause,[],[f8246]) ).

fof(f8246,plain,
    ( $false
    | spl25_47
    | ~ spl25_48 ),
    inference(subsumption_resolution,[],[f8216,f8145]) ).

fof(f8145,plain,
    ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(v_n)),v_G))
    | ~ spl25_48 ),
    inference(avatar_component_clause,[],[f8143]) ).

fof(f8143,plain,
    ( spl25_48
  <=> hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(v_n)),v_G)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_48])]) ).

fof(f8216,plain,
    ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(v_n)),v_G))
    | spl25_47 ),
    inference(unit_resulting_resolution,[],[f8140,f5444]) ).

fof(f5444,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(cnf_transformation,[],[f5312]) ).

fof(f5312,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,[],[f5233]) ).

fof(f5233,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,[],[f5229]) ).

fof(f5229,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f8140,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK3(v_n))
    | spl25_47 ),
    inference(avatar_component_clause,[],[f8138]) ).

fof(f8138,plain,
    ( spl25_47
  <=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK3(v_n)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_47])]) ).

fof(f8146,plain,
    ( spl25_48
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15
    | spl25_16 ),
    inference(avatar_split_clause,[],[f8132,f5751,f5746,f5673,f5668,f8143]) ).

fof(f5668,plain,
    ( spl25_6
  <=> c_Natural_Oevaln(v_c,sK5(v_Q,v_c,v_P,v_n),v_n,sK6(v_Q,v_c,v_P,v_n)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).

fof(f5673,plain,
    ( spl25_7
  <=> hBOOL(hAPP(hAPP(v_P,sK4(v_Q,v_c,v_P,v_n)),sK5(v_Q,v_c,v_P,v_n))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).

fof(f5746,plain,
    ( spl25_15
  <=> hBOOL(hAPP(hAPP(sK0(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n)),sK2(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n),sK6(v_Q,v_c,v_P,v_n))),sK5(v_Q,v_c,v_P,v_n))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).

fof(f5751,plain,
    ( spl25_16
  <=> hBOOL(hAPP(hAPP(sK1(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n)),sK2(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n),sK6(v_Q,v_c,v_P,v_n))),sK6(v_Q,v_c,v_P,v_n))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).

fof(f8132,plain,
    ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(v_n)),v_G))
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15
    | spl25_16 ),
    inference(unit_resulting_resolution,[],[f5675,f5618,f6383,f5446]) ).

fof(f5446,plain,
    ! [X0,X1,X6,X7] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X7),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),sK0(X0,X1)),v_c),sK1(X0,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X7)
      | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(X6)),v_G))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(cnf_transformation,[],[f5385]) ).

fof(f5385,plain,
    ! [X0,X1] :
      ( ( ! [X4] :
            ( hBOOL(hAPP(hAPP(v_Q,X0),X4))
            | ( ~ hBOOL(hAPP(hAPP(sK1(X0,X1),sK2(X0,X1,X4)),X4))
              & hBOOL(hAPP(hAPP(sK0(X0,X1),sK2(X0,X1,X4)),X1)) ) )
        & ! [X6] :
            ( ! [X7] :
                ( c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X7)
                | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X7),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),sK0(X0,X1)),v_c),sK1(X0,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )
            | ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,sK3(X6))
              & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(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),sK0(X0,X1)),v_c),sK1(X0,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) )
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f5381,f5384,f5383,f5382]) ).

fof(f5382,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ! [X4] :
              ( hBOOL(hAPP(hAPP(v_Q,X0),X4))
              | ? [X5] :
                  ( ~ hBOOL(hAPP(hAPP(X3,X5),X4))
                  & hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
          & ! [X6] :
              ( ! [X7] :
                  ( c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X7)
                  | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X7),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))))) )
              | ? [X8] :
                  ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X8)
                  & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X8),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] :
            ( hBOOL(hAPP(hAPP(v_Q,X0),X4))
            | ? [X5] :
                ( ~ hBOOL(hAPP(hAPP(sK1(X0,X1),X5),X4))
                & hBOOL(hAPP(hAPP(sK0(X0,X1),X5),X1)) ) )
        & ! [X6] :
            ( ! [X7] :
                ( c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X7)
                | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X7),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),sK0(X0,X1)),v_c),sK1(X0,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )
            | ? [X8] :
                ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X8)
                & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X8),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),sK0(X0,X1)),v_c),sK1(X0,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f5383,plain,
    ! [X0,X1,X4] :
      ( ? [X5] :
          ( ~ hBOOL(hAPP(hAPP(sK1(X0,X1),X5),X4))
          & hBOOL(hAPP(hAPP(sK0(X0,X1),X5),X1)) )
     => ( ~ hBOOL(hAPP(hAPP(sK1(X0,X1),sK2(X0,X1,X4)),X4))
        & hBOOL(hAPP(hAPP(sK0(X0,X1),sK2(X0,X1,X4)),X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5384,plain,
    ! [X6] :
      ( ? [X8] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X8)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X8),v_G)) )
     => ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,sK3(X6))
        & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(X6)),v_G)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5381,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ! [X4] :
              ( hBOOL(hAPP(hAPP(v_Q,X0),X4))
              | ? [X5] :
                  ( ~ hBOOL(hAPP(hAPP(X3,X5),X4))
                  & hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
          & ! [X6] :
              ( ! [X7] :
                  ( c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X7)
                  | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X7),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))))) )
              | ? [X8] :
                  ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X8)
                  & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X8),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)))) )
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(rectify,[],[f5313]) ).

fof(f5313,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ! [X4] :
              ( hBOOL(hAPP(hAPP(v_Q,X0),X4))
              | ? [X5] :
                  ( ~ hBOOL(hAPP(hAPP(X3,X5),X4))
                  & hBOOL(hAPP(hAPP(X2,X5),X1)) ) )
          & ! [X6] :
              ( ! [X8] :
                  ( c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X8)
                  | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X8),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))))) )
              | ? [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)))) )
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(ennf_transformation,[],[f5234]) ).

fof(f5234,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_P,X0),X1))
     => ? [X2,X3] :
          ( ! [X4] :
              ( ! [X5] :
                  ( hBOOL(hAPP(hAPP(X2,X5),X1))
                 => hBOOL(hAPP(hAPP(X3,X5),X4)) )
             => hBOOL(hAPP(hAPP(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] :
                  ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X8),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)))))
                 => c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X8) ) )
          & 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,[],[f5228]) ).

fof(f5228,axiom,
    ! [X28,X29] :
      ( hBOOL(hAPP(hAPP(v_P,X28),X29))
     => ? [X321,X322] :
          ( ! [X34] :
              ( ! [X35] :
                  ( hBOOL(hAPP(hAPP(X321,X35),X29))
                 => hBOOL(hAPP(hAPP(X322,X35),X34)) )
             => hBOOL(hAPP(hAPP(v_Q,X28),X34)) )
          & ! [X17] :
              ( ! [X2] :
                  ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
                 => c_Hoare__Mirabelle_Otriple__valid(t_a,X17,X2) )
             => ! [X2] :
                  ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),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)))))
                 => c_Hoare__Mirabelle_Otriple__valid(t_a,X17,X2) ) )
          & 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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6383,plain,
    ( ! [X0] : ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),sK0(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n))),v_c),sK1(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n))))
    | ~ spl25_6
    | ~ spl25_15
    | spl25_16 ),
    inference(unit_resulting_resolution,[],[f5670,f5748,f5753,f5450]) ).

fof(f5450,plain,
    ! [X2,X3,X10,X0,X1,X8,X9,X4] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0))
      | ~ c_Natural_Oevaln(X1,X9,X3,X10)
      | ~ hBOOL(hAPP(hAPP(X2,X8),X9))
      | hBOOL(hAPP(hAPP(X0,X8),X10)) ),
    inference(cnf_transformation,[],[f5390]) ).

fof(f5390,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0))
        | ( ~ hBOOL(hAPP(hAPP(X0,sK4(X0,X1,X2,X3)),sK6(X0,X1,X2,X3)))
          & c_Natural_Oevaln(X1,sK5(X0,X1,X2,X3),X3,sK6(X0,X1,X2,X3))
          & hBOOL(hAPP(hAPP(X2,sK4(X0,X1,X2,X3)),sK5(X0,X1,X2,X3))) ) )
      & ( ! [X8,X9] :
            ( ! [X10] :
                ( hBOOL(hAPP(hAPP(X0,X8),X10))
                | ~ c_Natural_Oevaln(X1,X9,X3,X10) )
            | ~ hBOOL(hAPP(hAPP(X2,X8),X9)) )
        | ~ c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f5387,f5389,f5388]) ).

fof(f5388,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X5,X6] :
          ( ? [X7] :
              ( ~ hBOOL(hAPP(hAPP(X0,X5),X7))
              & c_Natural_Oevaln(X1,X6,X3,X7) )
          & hBOOL(hAPP(hAPP(X2,X5),X6)) )
     => ( ? [X7] :
            ( ~ hBOOL(hAPP(hAPP(X0,sK4(X0,X1,X2,X3)),X7))
            & c_Natural_Oevaln(X1,sK5(X0,X1,X2,X3),X3,X7) )
        & hBOOL(hAPP(hAPP(X2,sK4(X0,X1,X2,X3)),sK5(X0,X1,X2,X3))) ) ),
    introduced(choice_axiom,[]) ).

fof(f5389,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X7] :
          ( ~ hBOOL(hAPP(hAPP(X0,sK4(X0,X1,X2,X3)),X7))
          & c_Natural_Oevaln(X1,sK5(X0,X1,X2,X3),X3,X7) )
     => ( ~ hBOOL(hAPP(hAPP(X0,sK4(X0,X1,X2,X3)),sK6(X0,X1,X2,X3)))
        & c_Natural_Oevaln(X1,sK5(X0,X1,X2,X3),X3,sK6(X0,X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5387,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0))
        | ? [X5,X6] :
            ( ? [X7] :
                ( ~ hBOOL(hAPP(hAPP(X0,X5),X7))
                & c_Natural_Oevaln(X1,X6,X3,X7) )
            & hBOOL(hAPP(hAPP(X2,X5),X6)) ) )
      & ( ! [X8,X9] :
            ( ! [X10] :
                ( hBOOL(hAPP(hAPP(X0,X8),X10))
                | ~ c_Natural_Oevaln(X1,X9,X3,X10) )
            | ~ hBOOL(hAPP(hAPP(X2,X8),X9)) )
        | ~ c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0)) ) ),
    inference(rectify,[],[f5386]) ).

fof(f5386,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0))
        | ? [X5,X6] :
            ( ? [X7] :
                ( ~ hBOOL(hAPP(hAPP(X0,X5),X7))
                & c_Natural_Oevaln(X1,X6,X3,X7) )
            & hBOOL(hAPP(hAPP(X2,X5),X6)) ) )
      & ( ! [X5,X6] :
            ( ! [X7] :
                ( hBOOL(hAPP(hAPP(X0,X5),X7))
                | ~ c_Natural_Oevaln(X1,X6,X3,X7) )
            | ~ hBOOL(hAPP(hAPP(X2,X5),X6)) )
        | ~ c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0)) ) ),
    inference(nnf_transformation,[],[f5314]) ).

fof(f5314,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0))
    <=> ! [X5,X6] :
          ( ! [X7] :
              ( hBOOL(hAPP(hAPP(X0,X5),X7))
              | ~ c_Natural_Oevaln(X1,X6,X3,X7) )
          | ~ hBOOL(hAPP(hAPP(X2,X5),X6)) ) ),
    inference(ennf_transformation,[],[f5235]) ).

fof(f5235,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0))
    <=> ! [X5,X6] :
          ( hBOOL(hAPP(hAPP(X2,X5),X6))
         => ! [X7] :
              ( c_Natural_Oevaln(X1,X6,X3,X7)
             => hBOOL(hAPP(hAPP(X0,X5),X7)) ) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X26,X21,X18,X33,X4] :
      ( c_Hoare__Mirabelle_Otriple__valid(X4,X33,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X18),X21),X26))
    <=> ! [X28,X29] :
          ( hBOOL(hAPP(hAPP(X18,X28),X29))
         => ! [X34] :
              ( c_Natural_Oevaln(X21,X29,X33,X34)
             => hBOOL(hAPP(hAPP(X26,X28),X34)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5753,plain,
    ( ~ hBOOL(hAPP(hAPP(sK1(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n)),sK2(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n),sK6(v_Q,v_c,v_P,v_n))),sK6(v_Q,v_c,v_P,v_n)))
    | spl25_16 ),
    inference(avatar_component_clause,[],[f5751]) ).

fof(f5748,plain,
    ( hBOOL(hAPP(hAPP(sK0(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n)),sK2(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n),sK6(v_Q,v_c,v_P,v_n))),sK5(v_Q,v_c,v_P,v_n)))
    | ~ spl25_15 ),
    inference(avatar_component_clause,[],[f5746]) ).

fof(f5670,plain,
    ( c_Natural_Oevaln(v_c,sK5(v_Q,v_c,v_P,v_n),v_n,sK6(v_Q,v_c,v_P,v_n))
    | ~ spl25_6 ),
    inference(avatar_component_clause,[],[f5668]) ).

fof(f5618,plain,
    ! [X2,X3,X0] : hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X2),X0))),
    inference(equality_resolution,[],[f5542]) ).

fof(f5542,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
      | X1 != X2 ),
    inference(cnf_transformation,[],[f5426]) ).

fof(f5426,plain,
    ! [X0,X1,X2,X3] :
      ( ( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
        | ( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
          & X1 != X2 ) )
      & ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
        | X1 = X2
        | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0))) ) ),
    inference(flattening,[],[f5425]) ).

fof(f5425,plain,
    ! [X0,X1,X2,X3] :
      ( ( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
        | ( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
          & X1 != X2 ) )
      & ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
        | X1 = X2
        | ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0))) ) ),
    inference(nnf_transformation,[],[f5278]) ).

fof(f5278,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
    <=> ( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
        | X1 = X2 ) ),
    inference(rectify,[],[f107]) ).

fof(f107,axiom,
    ! [X19,X22,X5,X4] :
      ( hBOOL(hAPP(hAPP(c_member(X4),X5),hAPP(hAPP(c_Set_Oinsert(X4),X22),X19)))
    <=> ( hBOOL(hAPP(hAPP(c_member(X4),X5),X19))
        | X5 = X22 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5675,plain,
    ( hBOOL(hAPP(hAPP(v_P,sK4(v_Q,v_c,v_P,v_n)),sK5(v_Q,v_c,v_P,v_n)))
    | ~ spl25_7 ),
    inference(avatar_component_clause,[],[f5673]) ).

fof(f8141,plain,
    ( ~ spl25_47
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15
    | spl25_16 ),
    inference(avatar_split_clause,[],[f8136,f5751,f5746,f5673,f5668,f8138]) ).

fof(f8136,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK3(v_n))
    | ~ spl25_6
    | ~ spl25_7
    | ~ spl25_15
    | spl25_16 ),
    inference(unit_resulting_resolution,[],[f5675,f5618,f6383,f5447]) ).

fof(f5447,plain,
    ! [X0,X1,X6,X7] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X7),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),sK0(X0,X1)),v_c),sK1(X0,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X6,X7)
      | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X6,sK3(X6))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(cnf_transformation,[],[f5385]) ).

fof(f5754,plain,
    ( ~ spl25_16
    | spl25_5
    | ~ spl25_7 ),
    inference(avatar_split_clause,[],[f5738,f5673,f5663,f5751]) ).

fof(f5663,plain,
    ( spl25_5
  <=> hBOOL(hAPP(hAPP(v_Q,sK4(v_Q,v_c,v_P,v_n)),sK6(v_Q,v_c,v_P,v_n))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).

fof(f5738,plain,
    ( ~ hBOOL(hAPP(hAPP(sK1(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n)),sK2(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n),sK6(v_Q,v_c,v_P,v_n))),sK6(v_Q,v_c,v_P,v_n)))
    | spl25_5
    | ~ spl25_7 ),
    inference(unit_resulting_resolution,[],[f5665,f5675,f5449]) ).

fof(f5449,plain,
    ! [X0,X1,X4] :
      ( ~ hBOOL(hAPP(hAPP(sK1(X0,X1),sK2(X0,X1,X4)),X4))
      | hBOOL(hAPP(hAPP(v_Q,X0),X4))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(cnf_transformation,[],[f5385]) ).

fof(f5665,plain,
    ( ~ hBOOL(hAPP(hAPP(v_Q,sK4(v_Q,v_c,v_P,v_n)),sK6(v_Q,v_c,v_P,v_n)))
    | spl25_5 ),
    inference(avatar_component_clause,[],[f5663]) ).

fof(f5749,plain,
    ( spl25_15
    | spl25_5
    | ~ spl25_7 ),
    inference(avatar_split_clause,[],[f5739,f5673,f5663,f5746]) ).

fof(f5739,plain,
    ( hBOOL(hAPP(hAPP(sK0(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n)),sK2(sK4(v_Q,v_c,v_P,v_n),sK5(v_Q,v_c,v_P,v_n),sK6(v_Q,v_c,v_P,v_n))),sK5(v_Q,v_c,v_P,v_n)))
    | spl25_5
    | ~ spl25_7 ),
    inference(unit_resulting_resolution,[],[f5665,f5675,f5448]) ).

fof(f5448,plain,
    ! [X0,X1,X4] :
      ( hBOOL(hAPP(hAPP(sK0(X0,X1),sK2(X0,X1,X4)),X1))
      | hBOOL(hAPP(hAPP(v_Q,X0),X4))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    inference(cnf_transformation,[],[f5385]) ).

fof(f5676,plain,
    ( spl25_7
    | spl25_1 ),
    inference(avatar_split_clause,[],[f5630,f5626,f5673]) ).

fof(f5626,plain,
    ( spl25_1
  <=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).

fof(f5630,plain,
    ( hBOOL(hAPP(hAPP(v_P,sK4(v_Q,v_c,v_P,v_n)),sK5(v_Q,v_c,v_P,v_n)))
    | spl25_1 ),
    inference(unit_resulting_resolution,[],[f5628,f5451]) ).

fof(f5451,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0))
      | hBOOL(hAPP(hAPP(X2,sK4(X0,X1,X2,X3)),sK5(X0,X1,X2,X3))) ),
    inference(cnf_transformation,[],[f5390]) ).

fof(f5628,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q))
    | spl25_1 ),
    inference(avatar_component_clause,[],[f5626]) ).

fof(f5671,plain,
    ( spl25_6
    | spl25_1 ),
    inference(avatar_split_clause,[],[f5631,f5626,f5668]) ).

fof(f5631,plain,
    ( c_Natural_Oevaln(v_c,sK5(v_Q,v_c,v_P,v_n),v_n,sK6(v_Q,v_c,v_P,v_n))
    | spl25_1 ),
    inference(unit_resulting_resolution,[],[f5628,f5452]) ).

fof(f5452,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0))
      | c_Natural_Oevaln(X1,sK5(X0,X1,X2,X3),X3,sK6(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f5390]) ).

fof(f5666,plain,
    ( ~ spl25_5
    | spl25_1 ),
    inference(avatar_split_clause,[],[f5632,f5626,f5663]) ).

fof(f5632,plain,
    ( ~ hBOOL(hAPP(hAPP(v_Q,sK4(v_Q,v_c,v_P,v_n)),sK6(v_Q,v_c,v_P,v_n)))
    | spl25_1 ),
    inference(unit_resulting_resolution,[],[f5628,f5453]) ).

fof(f5453,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ hBOOL(hAPP(hAPP(X0,sK4(X0,X1,X2,X3)),sK6(X0,X1,X2,X3)))
      | c_Hoare__Mirabelle_Otriple__valid(X4,X3,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X2),X1),X0)) ),
    inference(cnf_transformation,[],[f5390]) ).

fof(f5629,plain,
    ~ spl25_1,
    inference(avatar_split_clause,[],[f5443,f5626]) ).

fof(f5443,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),
    inference(cnf_transformation,[],[f5232]) ).

fof(f5232,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),
    inference(flattening,[],[f5231]) ).

fof(f5231,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),
    inference(negated_conjecture,[],[f5230]) ).

fof(f5230,conjecture,
    c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWW340+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.36  % Computer : n022.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Wed Jun 19 05:40:54 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.38  This is a FOF_CAX_RFO_SEQ problem
% 0.13/0.38  Running first-order theorem proving
% 0.13/0.38  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.91  % (17276)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (17281)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.69/0.91  % (17276)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (17278)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)
% 0.69/0.91  % (17276)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (17283)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)
% 0.69/0.91  % (17276)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (17282)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.69/0.91  % (17276)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (17277)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.69/0.91  % (17276)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (17279)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)
% 0.69/0.91  % (17276)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (17280)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.69/1.04  % (17281)Instruction limit reached!
% 0.69/1.04  % (17281)------------------------------
% 0.69/1.04  % (17281)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.69/1.04  % (17281)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.69/1.04  % (17281)Termination reason: Time limit
% 0.69/1.04  % (17281)Termination phase: Saturation
% 0.69/1.04  
% 0.69/1.04  % (17281)Memory used [KB]: 7843
% 0.69/1.04  % (17281)Time elapsed: 0.135 s
% 0.69/1.04  % (17281)Instructions burned: 251 (million)
% 0.69/1.04  % (17283)Instruction limit reached!
% 0.69/1.04  % (17283)------------------------------
% 0.69/1.04  % (17283)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.69/1.04  % (17283)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.69/1.04  % (17283)Termination reason: Time limit
% 0.69/1.04  % (17283)Termination phase: Saturation
% 0.69/1.04  
% 0.69/1.04  % (17283)Memory used [KB]: 9437
% 0.69/1.04  % (17283)Time elapsed: 0.137 s
% 0.69/1.04  % (17283)Instructions burned: 282 (million)
% 2.19/1.08  % (17282)Instruction limit reached!
% 2.19/1.08  % (17282)------------------------------
% 2.19/1.08  % (17282)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.19/1.08  % (17282)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.19/1.08  % (17282)Termination reason: Time limit
% 2.19/1.08  % (17282)Termination phase: Saturation
% 2.19/1.08  
% 2.19/1.08  % (17282)Memory used [KB]: 7805
% 2.19/1.08  % (17282)Time elapsed: 0.174 s
% 2.19/1.08  % (17282)Instructions burned: 347 (million)
% 2.19/1.10  % (17276)Running in auto input_syntax mode. Trying TPTP
% 2.19/1.10  % (17284)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2997ds/125Mi)
% 2.19/1.10  % (17276)Running in auto input_syntax mode. Trying TPTP
% 2.19/1.10  % (17285)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 2.19/1.14  % (17276)Running in auto input_syntax mode. Trying TPTP
% 2.19/1.14  % (17286)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2997ds/325Mi)
% 2.19/1.16  % (17284)Instruction limit reached!
% 2.19/1.16  % (17284)------------------------------
% 2.19/1.16  % (17284)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.19/1.16  % (17284)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.19/1.16  % (17284)Termination reason: Time limit
% 2.19/1.16  % (17284)Termination phase: Preprocessing 3
% 2.19/1.16  
% 2.19/1.16  % (17284)Memory used [KB]: 8266
% 2.19/1.16  % (17284)Time elapsed: 0.066 s
% 2.19/1.16  % (17284)Instructions burned: 126 (million)
% 2.92/1.22  % (17276)Running in auto input_syntax mode. Trying TPTP
% 2.92/1.22  % (17287)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2996ds/267Mi)
% 3.03/1.28  % (17285)Instruction limit reached!
% 3.03/1.28  % (17285)------------------------------
% 3.03/1.28  % (17285)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.03/1.28  % (17285)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.03/1.28  % (17285)Termination reason: Time limit
% 3.03/1.28  % (17285)Termination phase: Function definition elimination
% 3.03/1.28  
% 3.03/1.28  % (17285)Memory used [KB]: 14879
% 3.03/1.28  % (17285)Time elapsed: 0.184 s
% 3.03/1.28  % (17285)Instructions burned: 402 (million)
% 3.03/1.29  % (17286)First to succeed.
% 3.03/1.30  % (17286)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17276"
% 3.03/1.30  % (17276)Running in auto input_syntax mode. Trying TPTP
% 3.03/1.30  % (17286)Refutation found. Thanks to Tanya!
% 3.03/1.30  % SZS status Theorem for theBenchmark
% 3.03/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 3.03/1.30  % (17286)------------------------------
% 3.03/1.30  % (17286)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.03/1.30  % (17286)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.03/1.30  % (17286)Termination reason: Refutation
% 3.03/1.30  
% 3.03/1.30  % (17286)Memory used [KB]: 7650
% 3.03/1.30  % (17286)Time elapsed: 0.159 s
% 3.03/1.30  % (17286)Instructions burned: 317 (million)
% 3.03/1.30  % (17286)------------------------------
% 3.03/1.30  % (17286)------------------------------
% 3.03/1.30  % (17276)Success in time 0.466 s
%------------------------------------------------------------------------------