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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : TOP025+1 : 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 : n017.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 02:33:53 PM UTC 2026

% Result   : Theorem 2.92s 1.12s
% Output   : Refutation 3.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   68 (  13 unt;   3 def)
%            Number of atoms       :  246 (  39 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  294 ( 116   ~; 117   |;  40   &)
%                                         (   8 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   54 (   0 sgn  50   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ~ ( ( v3_pre_topc(X1,X0)
                | v4_pre_topc(X1,X0) )
              & v1_tsp_2(X1,X0)
              & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v2_pre_topc(X0)
          & l1_pre_topc(X0) )
       => ! [X1] :
            ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
           => ~ ( ( v3_pre_topc(X1,X0)
                  | v4_pre_topc(X1,X0) )
                & v1_tsp_2(X1,X0)
                & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f25,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v1_tsp_2(X1,X0)
          <=> ( v1_tsp_1(X1,X0)
              & k3_tex_4(X0,X1) = u1_struct_0(X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).

fof(f56,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v3_pre_topc(X1,X0)
           => k3_tex_4(X0,X1) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_tex_4) ).

fof(f58,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(X0))
     => ( v1_tex_2(X1,k1_zfmisc_1(X0))
      <=> X1 != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tex_2) ).

fof(f59,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v4_pre_topc(X1,X0)
           => k3_tex_4(X0,X1) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_tex_4) ).

fof(f80,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( v3_pre_topc(X1,X0)
            | v4_pre_topc(X1,X0) )
          & v1_tsp_2(X1,X0)
          & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f81,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( v3_pre_topc(X1,X0)
            | v4_pre_topc(X1,X0) )
          & v1_tsp_2(X1,X0)
          & v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(flattening,[],[f80]) ).

fof(f105,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( v1_tsp_2(X1,X0)
          <=> ( v1_tsp_1(X1,X0)
              & k3_tex_4(X0,X1) = u1_struct_0(X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( v1_tsp_2(X1,X0)
          <=> ( v1_tsp_1(X1,X0)
              & k3_tex_4(X0,X1) = u1_struct_0(X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f105]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( k3_tex_4(X0,X1) = X1
          | ~ v3_pre_topc(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( k3_tex_4(X0,X1) = X1
          | ~ v3_pre_topc(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f134]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ( v1_tex_2(X1,k1_zfmisc_1(X0))
      <=> X1 != X0 )
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( k3_tex_4(X0,X1) = X1
          | ~ v4_pre_topc(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( k3_tex_4(X0,X1) = X1
          | ~ v4_pre_topc(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f138]) ).

fof(f147,plain,
    ( ( v3_pre_topc(sK3,sK2)
      | v4_pre_topc(sK3,sK2) )
    & v1_tsp_2(sK3,sK2)
    & v1_tex_2(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    & m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    & ~ v3_struct_0(sK2)
    & v2_pre_topc(sK2)
    & l1_pre_topc(sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f81]) ).

fof(f150,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( v1_tsp_2(X1,X0)
              | ~ v1_tsp_1(X1,X0)
              | u1_struct_0(X0) != k3_tex_4(X0,X1) )
            & ( ( v1_tsp_1(X1,X0)
                & k3_tex_4(X0,X1) = u1_struct_0(X0) )
              | ~ v1_tsp_2(X1,X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f151,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( v1_tsp_2(X1,X0)
              | ~ v1_tsp_1(X1,X0)
              | u1_struct_0(X0) != k3_tex_4(X0,X1) )
            & ( ( v1_tsp_1(X1,X0)
                & k3_tex_4(X0,X1) = u1_struct_0(X0) )
              | ~ v1_tsp_2(X1,X0) ) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f150]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ( ( v1_tex_2(X1,k1_zfmisc_1(X0))
          | X0 = X1 )
        & ( X1 != X0
          | ~ v1_tex_2(X1,k1_zfmisc_1(X0)) ) )
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(nnf_transformation,[],[f137]) ).

fof(f169,plain,
    l1_pre_topc(sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f170,plain,
    v2_pre_topc(sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f171,plain,
    ~ v3_struct_0(sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f172,plain,
    m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
    inference(cnf_transformation,[],[f147]) ).

fof(f173,plain,
    v1_tex_2(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
    inference(cnf_transformation,[],[f147]) ).

fof(f174,plain,
    v1_tsp_2(sK3,sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f175,plain,
    ( v3_pre_topc(sK3,sK2)
    | v4_pre_topc(sK3,sK2) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ v2_pre_topc(X0)
      | ~ v1_tsp_2(X1,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | u1_struct_0(X0) = k3_tex_4(X0,X1)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( ~ v2_pre_topc(X0)
      | ~ v3_pre_topc(X1,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | k3_tex_4(X0,X1) = X1
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f290,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ v1_tex_2(X1,k1_zfmisc_1(X0))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( ~ v2_pre_topc(X0)
      | ~ v4_pre_topc(X1,X0)
      | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | v3_struct_0(X0)
      | k3_tex_4(X0,X1) = X1
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f296,plain,
    ! [X1] :
      ( ~ v1_tex_2(X1,k1_zfmisc_1(X1))
      | ~ m1_subset_1(X1,k1_zfmisc_1(X1)) ),
    inference(equality_resolution,[],[f290]) ).

fof(f298,definition,
    ( spl19_1
  <=> v4_pre_topc(sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).

fof(f302,definition,
    ( spl19_2
  <=> v3_pre_topc(sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).

fof(f304,plain,
    ( v3_pre_topc(sK3,sK2)
    | ~ spl19_2 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f305,plain,
    ( spl19_1
    | spl19_2 ),
    inference(avatar_split_clause,[],[f175,f302,f298]) ).

fof(f394,plain,
    ! [X0] :
      ( ~ v3_pre_topc(X0,sK2)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
      | v3_struct_0(sK2)
      | k3_tex_4(sK2,X0) = X0
      | ~ l1_pre_topc(sK2) ),
    inference(resolution,[],[f288,f170]) ).

fof(f395,plain,
    ! [X0] :
      ( ~ v3_pre_topc(X0,sK2)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
      | k3_tex_4(sK2,X0) = X0
      | ~ l1_pre_topc(sK2) ),
    inference(forward_subsumption_resolution,[],[f394,f171]) ).

fof(f396,plain,
    ! [X0] :
      ( k3_tex_4(sK2,X0) = X0
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
      | ~ v3_pre_topc(X0,sK2) ),
    inference(forward_subsumption_resolution,[],[f395,f169]) ).

fof(f400,plain,
    ! [X0] :
      ( ~ v4_pre_topc(X0,sK2)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
      | v3_struct_0(sK2)
      | k3_tex_4(sK2,X0) = X0
      | ~ l1_pre_topc(sK2) ),
    inference(resolution,[],[f292,f170]) ).

fof(f401,plain,
    ! [X0] :
      ( ~ v4_pre_topc(X0,sK2)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
      | k3_tex_4(sK2,X0) = X0
      | ~ l1_pre_topc(sK2) ),
    inference(forward_subsumption_resolution,[],[f400,f171]) ).

fof(f402,plain,
    ! [X0] :
      ( k3_tex_4(sK2,X0) = X0
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
      | ~ v4_pre_topc(X0,sK2) ),
    inference(forward_subsumption_resolution,[],[f401,f169]) ).

fof(f403,plain,
    ! [X0] :
      ( ~ v1_tsp_2(X0,sK2)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
      | v3_struct_0(sK2)
      | u1_struct_0(sK2) = k3_tex_4(sK2,X0)
      | ~ l1_pre_topc(sK2) ),
    inference(resolution,[],[f219,f170]) ).

fof(f404,plain,
    ! [X0] :
      ( ~ v1_tsp_2(X0,sK2)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
      | u1_struct_0(sK2) = k3_tex_4(sK2,X0)
      | ~ l1_pre_topc(sK2) ),
    inference(forward_subsumption_resolution,[],[f403,f171]) ).

fof(f405,plain,
    ! [X0] :
      ( ~ v1_tsp_2(X0,sK2)
      | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
      | u1_struct_0(sK2) = k3_tex_4(sK2,X0) ),
    inference(forward_subsumption_resolution,[],[f404,f169]) ).

fof(f441,plain,
    ( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    | u1_struct_0(sK2) = k3_tex_4(sK2,sK3) ),
    inference(resolution,[],[f405,f174]) ).

fof(f442,plain,
    u1_struct_0(sK2) = k3_tex_4(sK2,sK3),
    inference(forward_subsumption_resolution,[],[f441,f172]) ).

fof(f448,plain,
    ( sK3 = u1_struct_0(sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    | ~ v4_pre_topc(sK3,sK2) ),
    inference(superposition,[],[f442,f402]) ).

fof(f451,plain,
    ( sK3 = u1_struct_0(sK2)
    | ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
    | ~ v3_pre_topc(sK3,sK2) ),
    inference(superposition,[],[f396,f442]) ).

fof(f456,plain,
    ( sK3 = u1_struct_0(sK2)
    | ~ v3_pre_topc(sK3,sK2) ),
    inference(forward_subsumption_resolution,[],[f451,f172]) ).

fof(f459,plain,
    ( sK3 = u1_struct_0(sK2)
    | ~ v4_pre_topc(sK3,sK2) ),
    inference(forward_subsumption_resolution,[],[f448,f172]) ).

fof(f461,plain,
    ( sK3 = u1_struct_0(sK2)
    | ~ spl19_2 ),
    inference(forward_subsumption_resolution,[],[f456,f304]) ).

fof(f463,definition,
    ( spl19_7
  <=> sK3 = u1_struct_0(sK2) ),
    introduced(definition,[new_symbols(definition,[spl19_7])],[avatar_definition]) ).

fof(f465,plain,
    ( sK3 = u1_struct_0(sK2)
    | ~ spl19_7 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f468,plain,
    ( ~ spl19_1
    | spl19_7 ),
    inference(avatar_split_clause,[],[f459,f463,f298]) ).

fof(f470,plain,
    ( spl19_7
    | ~ spl19_2 ),
    inference(avatar_split_clause,[],[f461,f302,f463]) ).

fof(f473,plain,
    ( v1_tex_2(sK3,k1_zfmisc_1(sK3))
    | ~ spl19_7 ),
    inference(superposition,[],[f173,f465]) ).

fof(f474,plain,
    ( m1_subset_1(sK3,k1_zfmisc_1(sK3))
    | ~ spl19_7 ),
    inference(superposition,[],[f172,f465]) ).

fof(f536,plain,
    ( ~ m1_subset_1(sK3,k1_zfmisc_1(sK3))
    | ~ spl19_7 ),
    inference(resolution,[],[f473,f296]) ).

fof(f540,plain,
    ( $false
    | ~ spl19_7 ),
    inference(forward_subsumption_resolution,[],[f536,f474]) ).

fof(f541,plain,
    ~ spl19_7,
    inference(avatar_contradiction_clause,[],[f540]) ).

cnf(s1,plain,
    ( spl19_1
    | spl19_2 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s7,plain,
    ( ~ spl19_1
    | spl19_7 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s8,plain,
    ( ~ spl19_2
    | spl19_7 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s13,plain,
    ~ spl19_7,
    inference(sat_conversion,[],[f541]) ).

cnf(s14,plain,
    ~ spl19_2,
    inference(rat,[],[s8,s13]) ).

cnf(s15,plain,
    ~ spl19_1,
    inference(rat,[],[s7,s13]) ).

cnf(s19,plain,
    $false,
    inference(rat,[],[s1,s14,s15]) ).

fof(f542,plain,
    $false,
    inference(avatar_sat_refutation,[],[s19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : TOP025+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n017.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 18:45:51 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running first-order theorem proving
% 0.09/0.24  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
% 2.92/1.12  % (3877030)Detected formulas, will run a generic FOF schedule.
% 2.92/1.12  % (3877037)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=514016688:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.92/1.12  % (3877035)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=315514170:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.92/1.12  % (3877039)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3294800141:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.92/1.12  % (3877036)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=4292479313:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.92/1.12  % (3877038)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1437864535:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.92/1.12  % (3877040)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=912387357:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.92/1.12  % (3877038)Refutation not found, incomplete strategy
% 2.92/1.12  % (3877038)------------------------------
% 2.92/1.12  % (3877038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.12  % (3877038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.12  % (3877038)CaDiCaL version: 2.1.3
% 2.92/1.12  % (3877038)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.12  % (3877038)Time elapsed: 0.002 s
% 2.92/1.12  % (3877038)Peak memory usage: 88 MB
% 2.92/1.12  % (3877038)Instructions burned: 1 (million)
% 2.92/1.12  % (3877039)Refutation not found, incomplete strategy
% 2.92/1.12  % (3877039)------------------------------
% 2.92/1.12  % (3877039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.12  % (3877039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.12  % (3877039)CaDiCaL version: 2.1.3
% 2.92/1.12  % (3877039)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.12  % (3877039)Time elapsed: 0.002 s
% 2.92/1.12  % (3877039)Peak memory usage: 88 MB
% 2.92/1.12  % (3877039)Instructions burned: 2 (million)
% 2.92/1.12  % (3877040)First to succeed.
% 2.92/1.12  % (3877040)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3877030"
% 2.92/1.12  % (3877041)dis-21_1_sil=8000:lcm=predicate:random_seed=3200790382:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.92/1.12  % (3877041)Instruction limit reached! 
% 2.92/1.12  % (3877041)------------------------------
% 2.92/1.12  % (3877041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.12  % (3877041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.12  % (3877041)CaDiCaL version: 2.1.3
% 2.92/1.12  % (3877041)Termination reason: Instruction limit
% 2.92/1.12  % (3877041)Termination phase: Saturation
% 2.92/1.12  % (3877041)Time elapsed: 0.073 s
% 2.92/1.12  % (3877041)Peak memory usage: 90 MB
% 2.92/1.12  % (3877041)Instructions burned: 130 (million)
% 2.92/1.12  % (3877039)------------------------------
% 2.92/1.12  % (3877039)------------------------------
% 2.92/1.12  % (3877038)------------------------------
% 2.92/1.12  % (3877038)------------------------------
% 2.92/1.12  % (3877049)lrs+10_1_sil=8000:sp=occurrence:random_seed=3268835148:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.92/1.12  % (3877040)Refutation found. Thanks to Tanya!
% 2.92/1.12  % SZS status Theorem for theBenchmark
% 2.92/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.32  % (3877040)------------------------------
% 3.79/1.32  % (3877040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.32  % (3877040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.32  % (3877040)CaDiCaL version: 2.1.3
% 3.79/1.32  % (3877040)Termination reason: Refutation
% 3.79/1.32  % (3877040)Time elapsed: 0.013 s
% 3.79/1.32  % (3877040)Peak memory usage: 89 MB
% 3.79/1.32  % (3877040)Instructions burned: 16 (million)
% 3.79/1.32  % (3877040)------------------------------
% 3.79/1.32  % (3877040)------------------------------
% 3.79/1.32  % (3877030)Success in time 0.44 s
% 3.79/1.32  % Vampire exiting
%------------------------------------------------------------------------------