TSTP Solution File: SWW339+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW339+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n012.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 0.69s 0.94s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   45 (   7 unt;   0 def)
%            Number of atoms       :  131 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  138 (  52   ~;  43   |;  18   &)
%                                         (   3 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   90 (  79   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5464,plain,
    $false,
    inference(avatar_sat_refutation,[],[f5456,f5463]) ).

fof(f5463,plain,
    ~ spl4_4,
    inference(avatar_contradiction_clause,[],[f5462]) ).

fof(f5462,plain,
    ( $false
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f5460,f5446]) ).

fof(f5446,plain,
    hBOOL(hAPP(v_ts_H,sK1)),
    inference(resolution,[],[f5445,f5335]) ).

fof(f5335,plain,
    hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_ts)),
    inference(cnf_transformation,[],[f5322]) ).

fof(f5322,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,sK1)
    & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_ts))
    & ! [X2] :
        ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X2)
        | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5319,f5321,f5320]) ).

fof(f5320,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
            & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
        & ! [X2] :
            ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
            | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) )
   => ( ? [X1] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X1)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
      & ! [X2] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X2)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f5321,plain,
    ( ? [X1] :
        ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X1)
        & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
   => ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,sK1)
      & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_ts)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5319,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
      & ! [X2] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
    inference(rectify,[],[f5271]) ).

fof(f5271,plain,
    ? [X0] :
      ( ? [X2] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) )
      & ! [X1] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
    inference(ennf_transformation,[],[f5231]) ).

fof(f5231,plain,
    ~ ! [X0] :
        ( ! [X1] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
       => ! [X2] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
    inference(rectify,[],[f5230]) ).

fof(f5230,negated_conjecture,
    ~ ! [X12] :
        ( ! [X2] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) )
       => ! [X2] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) ) ),
    inference(negated_conjecture,[],[f5229]) ).

fof(f5229,conjecture,
    ! [X12] :
      ( ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) )
     => ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5445,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
      | hBOOL(hAPP(v_ts_H,X0)) ),
    inference(resolution,[],[f5407,f5365]) ).

fof(f5365,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
      | hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[],[f5331]) ).

fof(f5331,plain,
    ! [X0,X1,X2] :
      ( ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
        | ~ hBOOL(hAPP(X0,X1)) )
      & ( hBOOL(hAPP(X0,X1))
        | ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ) ),
    inference(nnf_transformation,[],[f5252]) ).

fof(f5252,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
    <=> hBOOL(hAPP(X0,X1)) ),
    inference(rectify,[],[f168]) ).

fof(f168,axiom,
    ! [X9,X14,X5] :
      ( hBOOL(hAPP(hAPP(c_member(X5),X14),X9))
    <=> hBOOL(hAPP(X9,X14)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5407,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts_H))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts)) ),
    inference(resolution,[],[f5338,f5352]) ).

fof(f5352,plain,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X3),X0),X2))
      | hBOOL(hAPP(hAPP(c_member(X3),X0),X1)) ),
    inference(cnf_transformation,[],[f5284]) ).

fof(f5284,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X0),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X3),X0),X2))
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) ),
    inference(flattening,[],[f5283]) ).

fof(f5283,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X0),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X3),X0),X2))
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) ),
    inference(ennf_transformation,[],[f5244]) ).

fof(f5244,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))
     => ( hBOOL(hAPP(hAPP(c_member(X3),X0),X2))
       => hBOOL(hAPP(hAPP(c_member(X3),X0),X1)) ) ),
    inference(rectify,[],[f124]) ).

fof(f124,axiom,
    ! [X48,X8,X9,X5] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X9),X8))
     => ( hBOOL(hAPP(hAPP(c_member(X5),X48),X9))
       => hBOOL(hAPP(hAPP(c_member(X5),X48),X8)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5338,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
    inference(cnf_transformation,[],[f5228]) ).

fof(f5228,axiom,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5460,plain,
    ( ~ hBOOL(hAPP(v_ts_H,sK1))
    | ~ spl4_4 ),
    inference(resolution,[],[f5442,f5336]) ).

fof(f5336,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,sK1),
    inference(cnf_transformation,[],[f5322]) ).

fof(f5442,plain,
    ( ! [X0] :
        ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X0)
        | ~ hBOOL(hAPP(v_ts_H,X0)) )
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f5441]) ).

fof(f5441,plain,
    ( spl4_4
  <=> ! [X0] :
        ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X0)
        | ~ hBOOL(hAPP(v_ts_H,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f5456,plain,
    ( spl4_4
    | spl4_4 ),
    inference(avatar_split_clause,[],[f5455,f5441,f5441]) ).

fof(f5455,plain,
    ! [X0,X1] :
      ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X0)
      | ~ hBOOL(hAPP(v_ts_H,X0))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X1)
      | ~ hBOOL(hAPP(v_ts_H,X1)) ),
    inference(resolution,[],[f5451,f5428]) ).

fof(f5428,plain,
    ! [X0,X1] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
      | ~ hBOOL(hAPP(v_ts_H,X1)) ),
    inference(resolution,[],[f5340,f5366]) ).

fof(f5366,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
      | ~ hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[],[f5331]) ).

fof(f5340,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
      | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f5325]) ).

fof(f5325,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H)) )
      | ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0))
        & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2(X0)),v_G)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f5323,f5324]) ).

fof(f5324,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) )
     => ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0))
        & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2(X0)),v_G)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5323,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H)) )
      | ? [X2] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
    inference(rectify,[],[f5272]) ).

fof(f5272,plain,
    ! [X0] :
      ( ! [X2] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)) )
      | ? [X1] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
    inference(ennf_transformation,[],[f5232]) ).

fof(f5232,plain,
    ! [X0] :
      ( ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
     => ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
    inference(rectify,[],[f5227]) ).

fof(f5227,axiom,
    ! [X12] :
      ( ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) )
     => ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5451,plain,
    ! [X0,X1] :
      ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,sK2(X0))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
      | ~ hBOOL(hAPP(v_ts_H,X1)) ),
    inference(resolution,[],[f5431,f5366]) ).

fof(f5431,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts_H))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X0)
      | c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,sK2(X1)) ),
    inference(resolution,[],[f5339,f5334]) ).

fof(f5334,plain,
    ! [X2] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X2) ),
    inference(cnf_transformation,[],[f5322]) ).

fof(f5339,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2(X0)),v_G))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ),
    inference(cnf_transformation,[],[f5325]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : SWW339+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.14  % Command    : run_vampire %s %d THM
% 0.15/0.37  % Computer : n012.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.23/0.37  % CPULimit   : 300
% 0.23/0.37  % WCLimit    : 300
% 0.23/0.37  % DateTime   : Wed Jun 19 06:27:09 EDT 2024
% 0.23/0.37  % CPUTime    : 
% 0.23/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.23/0.39  Running first-order theorem proving
% 0.23/0.39  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  % (12925)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (12931)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  % (12925)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (12928)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  % (12925)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (12926)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  % (12925)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (12929)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.69/0.91  % (12925)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (12932)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  % (12925)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (12927)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  % (12925)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.91  % (12930)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.69/0.94  % (12930)First to succeed.
% 0.69/0.94  % (12931)Also succeeded, but the first one will report.
% 0.69/0.94  % (12930)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12925"
% 0.69/0.94  % (12925)Running in auto input_syntax mode. Trying TPTP
% 0.69/0.94  % (12930)Refutation found. Thanks to Tanya!
% 0.69/0.94  % SZS status Theorem for theBenchmark
% 0.69/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.69/0.94  % (12930)------------------------------
% 0.69/0.94  % (12930)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.69/0.94  % (12930)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.69/0.94  % (12930)Termination reason: Refutation
% 0.69/0.94  
% 0.69/0.94  % (12930)Memory used [KB]: 6144
% 0.69/0.94  % (12930)Time elapsed: 0.032 s
% 0.69/0.94  % (12930)Instructions burned: 50 (million)
% 0.69/0.94  % (12930)------------------------------
% 0.69/0.94  % (12930)------------------------------
% 0.69/0.94  % (12925)Success in time 0.109 s
%------------------------------------------------------------------------------