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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP645+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 : Tue Sep 29 10:15:16 AM UTC 2026

% Result   : Theorem 4.09s 2.41s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   89 (  18 unt;   3 def)
%            Number of atoms       :  428 (  52 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  581 ( 242   ~; 250   |;  69   &)
%                                         (   6 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :   88 (   0 sgn  80   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8911,axiom,
    ! [X0,X1,X2] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0)
        & m1_group_2(X1,X0)
        & m1_group_2(X2,X0) )
     => ( v1_group_1(k9_group_2(X0,X1,X2))
        & m1_group_2(k9_group_2(X0,X1,X2),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_group_2) ).

fof(f13961,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ( v1_funct_1(k1_latsubgr(X0))
        & v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).

fof(f13964,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( m1_group_2(X1,X0)
         => ! [X2] :
              ( m1_group_2(X2,X0)
             => u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_latsubgr) ).

fof(f13978,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( ( v1_funct_1(X1)
            & v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
            & m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
         => ( X1 = k1_latsubgr(X0)
          <=> ! [X2] :
                ( ( v1_group_1(X2)
                  & m1_group_2(X2,X0) )
               => k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).

fof(f13988,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v3_group_1(X0)
        & v4_group_1(X0)
        & l1_group_1(X0) )
     => ! [X1] :
          ( ( v1_group_1(X1)
            & m1_group_2(X1,X0) )
         => ! [X2] :
              ( ( v1_group_1(X2)
                & m1_group_2(X2,X0) )
             => k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_latsubgr) ).

fof(f13989,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v3_group_1(X0)
          & v4_group_1(X0)
          & l1_group_1(X0) )
       => ! [X1] :
            ( ( v1_group_1(X1)
              & m1_group_2(X1,X0) )
           => ! [X2] :
                ( ( v1_group_1(X2)
                  & m1_group_2(X2,X0) )
               => k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f13988]) ).

fof(f13992,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) != k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2))
              & v1_group_1(X2)
              & m1_group_2(X2,X0) )
          & v1_group_1(X1)
          & m1_group_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v3_group_1(X0)
      & v4_group_1(X0)
      & l1_group_1(X0) ),
    inference(ennf_transformation,[],[f13989]) ).

fof(f13993,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) != k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2))
              & v1_group_1(X2)
              & m1_group_2(X2,X0) )
          & v1_group_1(X1)
          & m1_group_2(X1,X0) )
      & ~ v3_struct_0(X0)
      & v3_group_1(X0)
      & v4_group_1(X0)
      & l1_group_1(X0) ),
    inference(flattening,[],[f13992]) ).

fof(f14056,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
              | ~ m1_group_2(X2,X0) )
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f13964]) ).

fof(f14057,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
              | ~ m1_group_2(X2,X0) )
          | ~ m1_group_2(X1,X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f14056]) ).

fof(f14082,plain,
    ! [X0,X1,X2] :
      ( ( v1_group_1(k9_group_2(X0,X1,X2))
        & m1_group_2(k9_group_2(X0,X1,X2),X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_group_2(X1,X0)
      | ~ m1_group_2(X2,X0) ),
    inference(ennf_transformation,[],[f8911]) ).

fof(f14083,plain,
    ! [X0,X1,X2] :
      ( ( v1_group_1(k9_group_2(X0,X1,X2))
        & m1_group_2(k9_group_2(X0,X1,X2),X0) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_group_2(X1,X0)
      | ~ m1_group_2(X2,X0) ),
    inference(flattening,[],[f14082]) ).

fof(f14118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = k1_latsubgr(X0)
          <=> ! [X2] :
                ( k1_funct_1(X1,X2) = u1_struct_0(X2)
                | ~ v1_group_1(X2)
                | ~ m1_group_2(X2,X0) ) )
          | ~ v1_funct_1(X1)
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f13978]) ).

fof(f14119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = k1_latsubgr(X0)
          <=> ! [X2] :
                ( k1_funct_1(X1,X2) = u1_struct_0(X2)
                | ~ v1_group_1(X2)
                | ~ m1_group_2(X2,X0) ) )
          | ~ v1_funct_1(X1)
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f14118]) ).

fof(f14120,plain,
    ! [X0] :
      ( ( v1_funct_1(k1_latsubgr(X0))
        & v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(ennf_transformation,[],[f13961]) ).

fof(f14121,plain,
    ! [X0] :
      ( ( v1_funct_1(k1_latsubgr(X0))
        & v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
        & m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(flattening,[],[f14120]) ).

fof(f14122,plain,
    ( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) != k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2))
    & v1_group_1(sK2)
    & m1_group_2(sK2,sK0)
    & v1_group_1(sK1)
    & m1_group_2(sK1,sK0)
    & ~ v3_struct_0(sK0)
    & v3_group_1(sK0)
    & v4_group_1(sK0)
    & l1_group_1(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f13993]) ).

fof(f14144,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( X1 = k1_latsubgr(X0)
              | ? [X2] :
                  ( k1_funct_1(X1,X2) != u1_struct_0(X2)
                  & v1_group_1(X2)
                  & m1_group_2(X2,X0) ) )
            & ( ! [X2] :
                  ( k1_funct_1(X1,X2) = u1_struct_0(X2)
                  | ~ v1_group_1(X2)
                  | ~ m1_group_2(X2,X0) )
              | k1_latsubgr(X0) != X1 ) )
          | ~ v1_funct_1(X1)
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(nnf_transformation,[],[f14119]) ).

fof(f14145,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( X1 = k1_latsubgr(X0)
              | ? [X2] :
                  ( k1_funct_1(X1,X2) != u1_struct_0(X2)
                  & v1_group_1(X2)
                  & m1_group_2(X2,X0) ) )
            & ( ! [X3] :
                  ( k1_funct_1(X1,X3) = u1_struct_0(X3)
                  | ~ v1_group_1(X3)
                  | ~ m1_group_2(X3,X0) )
              | k1_latsubgr(X0) != X1 ) )
          | ~ v1_funct_1(X1)
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(rectify,[],[f14144]) ).

fof(f14146,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( X1 = k1_latsubgr(X0)
              | ( k1_funct_1(X1,sK21(X0,X1)) != u1_struct_0(sK21(X0,X1))
                & v1_group_1(sK21(X0,X1))
                & m1_group_2(sK21(X0,X1),X0) ) )
            & ( ! [X3] :
                  ( k1_funct_1(X1,X3) = u1_struct_0(X3)
                  | ~ v1_group_1(X3)
                  | ~ m1_group_2(X3,X0) )
              | k1_latsubgr(X0) != X1 ) )
          | ~ v1_funct_1(X1)
          | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
          | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X2,sK21(X0,X1))],[f14145]) ).

fof(f14147,plain,
    l1_group_1(sK0),
    inference(cnf_transformation,[],[f14122]) ).

fof(f14148,plain,
    v4_group_1(sK0),
    inference(cnf_transformation,[],[f14122]) ).

fof(f14149,plain,
    v3_group_1(sK0),
    inference(cnf_transformation,[],[f14122]) ).

fof(f14150,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f14122]) ).

fof(f14151,plain,
    m1_group_2(sK1,sK0),
    inference(cnf_transformation,[],[f14122]) ).

fof(f14152,plain,
    v1_group_1(sK1),
    inference(cnf_transformation,[],[f14122]) ).

fof(f14153,plain,
    m1_group_2(sK2,sK0),
    inference(cnf_transformation,[],[f14122]) ).

fof(f14154,plain,
    v1_group_1(sK2),
    inference(cnf_transformation,[],[f14122]) ).

fof(f14155,plain,
    k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) != k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f14122]) ).

fof(f14242,plain,
    ! [X2,X0,X1] :
      ( ~ v4_group_1(X0)
      | ~ m1_group_2(X2,X0)
      | ~ m1_group_2(X1,X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) = u1_struct_0(k9_group_2(X0,X1,X2))
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f14057]) ).

fof(f14266,plain,
    ! [X2,X0,X1] :
      ( m1_group_2(k9_group_2(X0,X1,X2),X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_group_2(X1,X0)
      | ~ m1_group_2(X2,X0) ),
    inference(cnf_transformation,[],[f14083]) ).

fof(f14267,plain,
    ! [X2,X0,X1] :
      ( v1_group_1(k9_group_2(X0,X1,X2))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0)
      | ~ m1_group_2(X1,X0)
      | ~ m1_group_2(X2,X0) ),
    inference(cnf_transformation,[],[f14083]) ).

fof(f14291,plain,
    ! [X3,X0,X1] :
      ( k1_funct_1(X1,X3) = u1_struct_0(X3)
      | ~ v1_group_1(X3)
      | ~ m1_group_2(X3,X0)
      | k1_latsubgr(X0) != X1
      | ~ v1_funct_1(X1)
      | ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f14146]) ).

fof(f14295,plain,
    ! [X0] :
      ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f14121]) ).

fof(f14296,plain,
    ! [X0] :
      ( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f14121]) ).

fof(f14297,plain,
    ! [X0] :
      ( v1_funct_1(k1_latsubgr(X0))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(cnf_transformation,[],[f14121]) ).

fof(f14305,plain,
    ! [X3,X0] :
      ( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
      | ~ v1_group_1(X3)
      | ~ m1_group_2(X3,X0)
      | ~ v1_funct_1(k1_latsubgr(X0))
      | ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(equality_resolution,[],[f14291]) ).

fof(f14306,plain,
    ! [X3,X0] :
      ( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
      | ~ v1_group_1(X3)
      | ~ m1_group_2(X3,X0)
      | ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(forward_subsumption_resolution,[],[f14305,f14297]) ).

fof(f14311,plain,
    ! [X3,X0] :
      ( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
      | ~ v1_group_1(X3)
      | ~ m1_group_2(X3,X0)
      | ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | ~ v4_group_1(X0)
      | ~ l1_group_1(X0) ),
    inference(forward_subsumption_resolution,[],[f14306,f14296]) ).

fof(f14313,plain,
    ! [X3,X0] :
      ( ~ v4_group_1(X0)
      | ~ v1_group_1(X3)
      | ~ m1_group_2(X3,X0)
      | v3_struct_0(X0)
      | ~ v3_group_1(X0)
      | u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
      | ~ l1_group_1(X0) ),
    inference(forward_subsumption_resolution,[],[f14311,f14295]) ).

fof(f16709,plain,
    ! [X0] :
      ( ~ v1_group_1(X0)
      | ~ m1_group_2(X0,sK0)
      | v3_struct_0(sK0)
      | ~ v3_group_1(sK0)
      | u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
      | ~ l1_group_1(sK0) ),
    inference(resolution,[],[f14313,f14148]) ).

fof(f16712,plain,
    ! [X0] :
      ( ~ v1_group_1(X0)
      | ~ m1_group_2(X0,sK0)
      | ~ v3_group_1(sK0)
      | u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
      | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f16709,f14150]) ).

fof(f16714,plain,
    ! [X0] :
      ( ~ v1_group_1(X0)
      | ~ m1_group_2(X0,sK0)
      | u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
      | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f16712,f14149]) ).

fof(f16716,plain,
    ! [X0] :
      ( u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0)
      | ~ m1_group_2(X0,sK0)
      | ~ v1_group_1(X0) ),
    inference(forward_subsumption_resolution,[],[f16714,f14147]) ).

fof(f16717,plain,
    ( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),sK2))
    | ~ m1_group_2(sK1,sK0)
    | ~ v1_group_1(sK1) ),
    inference(superposition,[],[f14155,f16716]) ).

fof(f16726,plain,
    ( k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),sK2))
    | ~ v1_group_1(sK1) ),
    inference(forward_subsumption_resolution,[],[f16717,f14151]) ).

fof(f16730,plain,
    k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),sK2)),
    inference(forward_subsumption_resolution,[],[f16726,f14152]) ).

fof(f16744,plain,
    ( k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) != u1_struct_0(k9_group_2(sK0,sK1,sK2))
    | ~ m1_group_2(k9_group_2(sK0,sK1,sK2),sK0)
    | ~ v1_group_1(k9_group_2(sK0,sK1,sK2)) ),
    inference(superposition,[],[f16730,f16716]) ).

fof(f16746,definition,
    ( spl22_1
  <=> v1_group_1(k9_group_2(sK0,sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).

fof(f16748,plain,
    ( ~ v1_group_1(k9_group_2(sK0,sK1,sK2))
    | spl22_1 ),
    inference(avatar_component_clause,[],[f16746]) ).

fof(f16750,definition,
    ( spl22_2
  <=> m1_group_2(k9_group_2(sK0,sK1,sK2),sK0) ),
    introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).

fof(f16752,plain,
    ( ~ m1_group_2(k9_group_2(sK0,sK1,sK2),sK0)
    | spl22_2 ),
    inference(avatar_component_clause,[],[f16750]) ).

fof(f16754,definition,
    ( spl22_3
  <=> k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) = u1_struct_0(k9_group_2(sK0,sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).

fof(f16756,plain,
    ( k3_xboole_0(u1_struct_0(sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) != u1_struct_0(k9_group_2(sK0,sK1,sK2))
    | spl22_3 ),
    inference(avatar_component_clause,[],[f16754]) ).

fof(f16757,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3 ),
    inference(avatar_split_clause,[],[f16744,f16754,f16750,f16746]) ).

fof(f16758,plain,
    ( v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_1 ),
    inference(resolution,[],[f16748,f14267]) ).

fof(f16759,plain,
    ( ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_1 ),
    inference(forward_subsumption_resolution,[],[f16758,f14150]) ).

fof(f16760,plain,
    ( ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_1 ),
    inference(forward_subsumption_resolution,[],[f16759,f14149]) ).

fof(f16761,plain,
    ( ~ l1_group_1(sK0)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_1 ),
    inference(forward_subsumption_resolution,[],[f16760,f14148]) ).

fof(f16762,plain,
    ( ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_1 ),
    inference(forward_subsumption_resolution,[],[f16761,f14147]) ).

fof(f16763,plain,
    ( ~ m1_group_2(sK2,sK0)
    | spl22_1 ),
    inference(forward_subsumption_resolution,[],[f16762,f14151]) ).

fof(f16764,plain,
    ( $false
    | spl22_1 ),
    inference(forward_subsumption_resolution,[],[f16763,f14153]) ).

fof(f16765,plain,
    spl22_1,
    inference(avatar_contradiction_clause,[],[f16764]) ).

fof(f16766,plain,
    ( v3_struct_0(sK0)
    | ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_2 ),
    inference(resolution,[],[f16752,f14266]) ).

fof(f16769,plain,
    ( ~ v3_group_1(sK0)
    | ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_2 ),
    inference(forward_subsumption_resolution,[],[f16766,f14150]) ).

fof(f16771,plain,
    ( ~ v4_group_1(sK0)
    | ~ l1_group_1(sK0)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_2 ),
    inference(forward_subsumption_resolution,[],[f16769,f14149]) ).

fof(f16773,plain,
    ( ~ l1_group_1(sK0)
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_2 ),
    inference(forward_subsumption_resolution,[],[f16771,f14148]) ).

fof(f16775,plain,
    ( ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_2 ),
    inference(forward_subsumption_resolution,[],[f16773,f14147]) ).

fof(f16788,plain,
    ( ~ m1_group_2(sK2,sK0)
    | spl22_2 ),
    inference(forward_subsumption_resolution,[],[f16775,f14151]) ).

fof(f16789,plain,
    ( $false
    | spl22_2 ),
    inference(forward_subsumption_resolution,[],[f16788,f14153]) ).

fof(f16790,plain,
    spl22_2,
    inference(avatar_contradiction_clause,[],[f16789]) ).

fof(f16791,plain,
    ( u1_struct_0(k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2))
    | ~ m1_group_2(sK2,sK0)
    | ~ v1_group_1(sK2)
    | spl22_3 ),
    inference(superposition,[],[f16756,f16716]) ).

fof(f16792,plain,
    ( u1_struct_0(k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2))
    | ~ v1_group_1(sK2)
    | spl22_3 ),
    inference(forward_subsumption_resolution,[],[f16791,f14153]) ).

fof(f16793,plain,
    ( u1_struct_0(k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2))
    | spl22_3 ),
    inference(forward_subsumption_resolution,[],[f16792,f14154]) ).

fof(f17311,plain,
    ! [X0,X1] :
      ( ~ m1_group_2(X0,sK0)
      | ~ m1_group_2(X1,sK0)
      | v3_struct_0(sK0)
      | ~ v3_group_1(sK0)
      | k3_xboole_0(u1_struct_0(X1),u1_struct_0(X0)) = u1_struct_0(k9_group_2(sK0,X1,X0))
      | ~ l1_group_1(sK0) ),
    inference(resolution,[],[f14242,f14148]) ).

fof(f17314,plain,
    ! [X0,X1] :
      ( ~ m1_group_2(X0,sK0)
      | ~ m1_group_2(X1,sK0)
      | ~ v3_group_1(sK0)
      | k3_xboole_0(u1_struct_0(X1),u1_struct_0(X0)) = u1_struct_0(k9_group_2(sK0,X1,X0))
      | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f17311,f14150]) ).

fof(f17316,plain,
    ! [X0,X1] :
      ( ~ m1_group_2(X0,sK0)
      | ~ m1_group_2(X1,sK0)
      | k3_xboole_0(u1_struct_0(X1),u1_struct_0(X0)) = u1_struct_0(k9_group_2(sK0,X1,X0))
      | ~ l1_group_1(sK0) ),
    inference(forward_subsumption_resolution,[],[f17314,f14149]) ).

fof(f17318,plain,
    ! [X0,X1] :
      ( k3_xboole_0(u1_struct_0(X1),u1_struct_0(X0)) = u1_struct_0(k9_group_2(sK0,X1,X0))
      | ~ m1_group_2(X1,sK0)
      | ~ m1_group_2(X0,sK0) ),
    inference(forward_subsumption_resolution,[],[f17316,f14147]) ).

fof(f18264,plain,
    ( k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2)) != k3_xboole_0(u1_struct_0(sK1),u1_struct_0(sK2))
    | ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_3 ),
    inference(superposition,[],[f16793,f17318]) ).

fof(f18276,plain,
    ( ~ m1_group_2(sK1,sK0)
    | ~ m1_group_2(sK2,sK0)
    | spl22_3 ),
    inference(trivial_inequality_removal,[],[f18264]) ).

fof(f18278,plain,
    ( ~ m1_group_2(sK2,sK0)
    | spl22_3 ),
    inference(forward_subsumption_resolution,[],[f18276,f14151]) ).

fof(f18280,plain,
    ( $false
    | spl22_3 ),
    inference(forward_subsumption_resolution,[],[f18278,f14153]) ).

fof(f18281,plain,
    spl22_3,
    inference(avatar_contradiction_clause,[],[f18280]) ).

cnf(s1,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_3 ),
    inference(sat_conversion,[],[f16757]) ).

cnf(s2,plain,
    spl22_1,
    inference(sat_conversion,[],[f16765]) ).

cnf(s4,plain,
    spl22_2,
    inference(sat_conversion,[],[f16790]) ).

cnf(s13,plain,
    spl22_3,
    inference(sat_conversion,[],[f18281]) ).

cnf(s16,plain,
    $false,
    inference(rat,[],[s1,s13,s4,s2]) ).

fof(f18299,plain,
    $false,
    inference(avatar_sat_refutation,[],[s16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP645+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n019.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 10:25:21 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.09/2.41  % (2879918)Detected formulas, will run a generic FOF schedule.
% 4.09/2.41  % (2879929)dis-21_1_sil=8000:lcm=predicate:random_seed=1830551233:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 4.09/2.41  % (2879927)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2314675114:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 4.09/2.41  % (2879924)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1209735402:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 4.09/2.41  % (2879925)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=568330543:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 4.09/2.41  % (2879923)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=803998324:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 4.09/2.41  % (2879926)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3362196764:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 4.09/2.41  % (2879928)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=564009758:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 4.09/2.41  % (2879929)Instruction limit reached! 
% 4.09/2.41  % (2879929)------------------------------
% 4.09/2.41  % (2879929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/2.41  % (2879929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/2.41  % (2879929)CaDiCaL version: 2.1.3
% 4.09/2.41  % (2879929)Termination reason: Instruction limit
% 4.09/2.41  % (2879929)Termination phase: Preprocessing 1
% 4.09/2.41  % (2879929)Time elapsed: 0.056 s
% 4.09/2.41  % (2879929)Peak memory usage: 104 MB
% 4.09/2.41  % (2879929)Instructions burned: 130 (million)
% 4.09/2.41  % (2879928)Instruction limit reached! 
% 4.09/2.41  % (2879928)------------------------------
% 4.09/2.41  % (2879928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/2.41  % (2879928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/2.41  % (2879928)CaDiCaL version: 2.1.3
% 4.09/2.41  % (2879928)Termination reason: Instruction limit
% 4.09/2.41  % (2879928)Termination phase: Property scanning
% 4.09/2.41  % (2879928)Time elapsed: 0.059 s
% 4.09/2.41  % (2879928)Peak memory usage: 103 MB
% 4.09/2.41  % (2879928)Instructions burned: 141 (million)
% 4.09/2.41  % (2879926)Instruction limit reached! 
% 4.09/2.41  % (2879926)------------------------------
% 4.09/2.41  % (2879926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/2.41  % (2879926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/2.41  % (2879926)CaDiCaL version: 2.1.3
% 4.09/2.41  % (2879926)Termination reason: Instruction limit
% 4.09/2.41  % (2879926)Termination phase: Saturation
% 4.09/2.41  % (2879926)Time elapsed: 0.083 s
% 4.09/2.41  % (2879926)Peak memory usage: 107 MB
% 4.09/2.41  % (2879926)Instructions burned: 109 (million)
% 4.09/2.41  % (2879927)Instruction limit reached! 
% 4.09/2.41  % (2879927)------------------------------
% 4.09/2.41  % (2879927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/2.41  % (2879927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/2.41  % (2879927)CaDiCaL version: 2.1.3
% 4.09/2.41  % (2879927)Termination reason: Instruction limit
% 4.09/2.41  % (2879927)Termination phase: Property scanning
% 4.09/2.41  % (2879927)Time elapsed: 0.098 s
% 4.09/2.41  % (2879927)Peak memory usage: 106 MB
% 4.09/2.41  % (2879927)Instructions burned: 120 (million)
% 4.09/2.41  % (2879937)lrs+10_1_sil=8000:sp=occurrence:random_seed=1090709716:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 4.09/2.41  % (2879938)lrs+10_1_sil=32000:urr=on:br=off:random_seed=270582797:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 4.09/2.41  % (2879939)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3640114893:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 4.09/2.41  % (2879937)Instruction limit reached! 
% 4.09/2.41  % (2879937)------------------------------
% 4.09/2.41  % (2879937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/2.41  % (2879937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/2.41  % (2879937)CaDiCaL version: 2.1.3
% 4.09/2.41  % (2879937)Termination reason: Instruction limit
% 4.09/2.41  % (2879937)Termination phase: Saturation
% 4.09/2.41  % (2879937)Time elapsed: 0.116 s
% 4.09/2.41  % (2879937)Peak memory usage: 111 MB
% 4.09/2.41  % (2879937)Instructions burned: 286 (million)
% 4.09/2.41  % (2879940)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=985144128:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 4.09/2.41  % (2879938)Instruction limit reached! 
% 4.09/2.41  % (2879938)------------------------------
% 4.09/2.41  % (2879938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/2.41  % (2879938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/2.41  % (2879938)CaDiCaL version: 2.1.3
% 4.09/2.41  % (2879938)Termination reason: Instruction limit
% 4.09/2.41  % (2879938)Termination phase: Property scanning
% 4.09/2.41  % (2879938)Time elapsed: 0.069 s
% 4.09/2.41  % (2879938)Peak memory usage: 103 MB
% 4.09/2.41  % (2879938)Instructions burned: 158 (million)
% 4.09/2.41  % (2879944)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1361447158:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 4.09/2.41  % (2879940)Instruction limit reached! 
% 4.09/2.41  % (2879940)------------------------------
% 4.09/2.41  % (2879940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/2.41  % (2879940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/2.41  % (2879940)CaDiCaL version: 2.1.3
% 4.09/2.41  % (2879940)Termination reason: Instruction limit
% 4.09/2.41  % (2879940)Termination phase: SInE selection
% 4.09/2.41  % (2879940)Time elapsed: 0.127 s
% 4.09/2.41  % (2879940)Peak memory usage: 104 MB
% 4.09/2.41  % (2879940)Instructions burned: 248 (million)
% 4.09/2.41  % (2879939)First to succeed.
% 4.09/2.41  % (2879939)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2879918"
% 4.09/2.41  % (2879946)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3101945833:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 4.09/2.41  % (2879944)Instruction limit reached! 
% 4.09/2.41  % (2879944)------------------------------
% 4.09/2.41  % (2879944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/2.41  % (2879944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/2.41  % (2879944)CaDiCaL version: 2.1.3
% 4.09/2.41  % (2879944)Termination reason: Instruction limit
% 4.09/2.41  % (2879944)Termination phase: Property scanning
% 4.09/2.41  % (2879944)Time elapsed: 0.113 s
% 4.09/2.41  % (2879944)Peak memory usage: 110 MB
% 4.09/2.41  % (2879944)Instructions burned: 297 (million)
% 4.09/2.41  % (2879948)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2628890819:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 4.09/2.41  % (2879950)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2211480537:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 4.09/2.41  % (2879948)Instruction limit reached! 
% 4.09/2.41  % (2879948)------------------------------
% 4.09/2.41  % (2879948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/2.41  % (2879948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/2.41  % (2879948)CaDiCaL version: 2.1.3
% 4.09/2.41  % (2879948)Termination reason: Instruction limit
% 4.09/2.41  % (2879948)Termination phase: Preprocessing 2
% 4.09/2.41  % (2879948)Time elapsed: 0.098 s
% 4.09/2.41  % (2879948)Peak memory usage: 106 MB
% 4.09/2.41  % (2879948)Instructions burned: 114 (million)
% 4.09/2.41  % (2879939)Refutation found. Thanks to Tanya!
% 4.09/2.41  % SZS status Theorem for theBenchmark
% 4.09/2.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.61  % (2879939)------------------------------
% 0.17/2.61  % (2879939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.61  % (2879939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.61  % (2879939)CaDiCaL version: 2.1.3
% 0.17/2.61  % (2879939)Termination reason: Refutation
% 0.17/2.61  % (2879939)Time elapsed: 0.176 s
% 0.17/2.61  % (2879939)Peak memory usage: 111 MB
% 0.17/2.61  % (2879939)Instructions burned: 230 (million)
% 0.17/2.61  % (2879939)------------------------------
% 0.17/2.61  % (2879939)------------------------------
% 0.17/2.61  % (2879918)Success in time 1.557 s
% 0.17/2.61  % Vampire exiting
%------------------------------------------------------------------------------