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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU853^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 : Wed Sep 30 08:31:48 AM UTC 2026

% Result   : Theorem 0.10s 0.26s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   60 (   7 unt;   0 typ;   6 def)
%            Number of atoms       :  463 ( 163 equ;   0 cnn)
%            Maximal formula atoms :   18 (   7 avg)
%            Number of connectives :  523 ( 121   ~; 112   |;  58   &; 194   @)
%                                         (  11 <=>;  25  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   90 (   0 sgn  69   !;  21   ?;  90   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    a: $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_3,type,
    sK0: a > $o ).

thf(func_def_4,type,
    sK1: a > $o ).

thf(func_def_5,type,
    sK2: a > $o ).

thf(func_def_6,type,
    sK3: a ).

thf(func_def_7,type,
    sK4: a ).

thf(f1,conjecture,
    ! [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ( ! [X3: a] :
            ( ( X1 @ X3 )
           => ( X2 @ X3 ) )
        & ! [X3: a] :
            ( ( X0 @ X3 )
           => ( X2 @ X3 ) ) )
     => ( ! [X3: a] :
            ( ( X0 @ X3 )
           => ( X1 @ X3 ) )
      <=> ! [X3: a] :
            ( ( ( X0 @ X3 )
              & ( X2 @ X3 )
              & ~ ( X1 @ X3 ) )
           => ( ( X2 @ X3 )
              & ~ ( X0 @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM35_pme) ).

thf(f2,negated_conjecture,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ! [X3: a] :
              ( ( X1 @ X3 )
             => ( X2 @ X3 ) )
          & ! [X3: a] :
              ( ( X0 @ X3 )
             => ( X2 @ X3 ) ) )
       => ( ! [X3: a] :
              ( ( X0 @ X3 )
             => ( X1 @ X3 ) )
        <=> ! [X3: a] :
              ( ( ( X0 @ X3 )
                & ( X2 @ X3 )
                & ~ ( X1 @ X3 ) )
             => ( ( X2 @ X3 )
                & ~ ( X0 @ X3 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f3,plain,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ! [X3: a] :
              ( ( X1 @ X3 )
             => ( X2 @ X3 ) )
          & ! [X4: a] :
              ( ( X0 @ X4 )
             => ( X2 @ X4 ) ) )
       => ( ! [X5: a] :
              ( ( X0 @ X5 )
             => ( X1 @ X5 ) )
        <=> ! [X6: a] :
              ( ( ( X0 @ X6 )
                & ( X2 @ X6 )
                & ~ ( X1 @ X6 ) )
             => ( ( X2 @ X6 )
                & ~ ( X0 @ X6 ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f4,plain,
    ~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
        ( ( ! [X4: a] :
              ( ( ( X0 @ X4 )
                = $true )
             => ( ( X2 @ X4 )
                = $true ) )
          & ! [X3: a] :
              ( ( ( X1 @ X3 )
                = $true )
             => ( ( X2 @ X3 )
                = $true ) ) )
       => ( ! [X5: a] :
              ( ( $true
                = ( X0 @ X5 ) )
             => ( ( X1 @ X5 )
                = $true ) )
        <=> ! [X6: a] :
              ( ( ( $true
                  = ( X0 @ X6 ) )
                & ( ( X2 @ X6 )
                  = $true )
                & ( ( X1 @ X6 )
                 != $true ) )
             => ( ( ( X2 @ X6 )
                  = $true )
                & ( $true
                 != ( X0 @ X6 ) ) ) ) ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f5,plain,
    ~ ! [X1: a > $o,X2: a > $o,X0: a > $o] :
        ( ( ! [X4: a] :
              ( ( ( X0 @ X4 )
                = $true )
             => ( ( X2 @ X4 )
                = $true ) )
          & ! [X3: a] :
              ( ( ( X1 @ X3 )
                = $true )
             => ( ( X2 @ X3 )
                = $true ) ) )
       => ( ! [X6: a] :
              ( ( ( ( X2 @ X6 )
                  = $true )
                & ( ( X1 @ X6 )
                 != $true )
                & ( $true
                  = ( X0 @ X6 ) ) )
             => ( ( ( X2 @ X6 )
                  = $true )
                & ( $true
                 != ( X0 @ X6 ) ) ) )
        <=> ! [X5: a] :
              ( ( $true
                = ( X0 @ X5 ) )
             => ( ( X1 @ X5 )
                = $true ) ) ) ),
    inference(flattening,[],[f4]) ).

thf(f6,plain,
    ? [X1: a > $o,X2: a > $o,X0: a > $o] :
      ( ( ! [X6: a] :
            ( ( ( ( X2 @ X6 )
                = $true )
              & ( $true
               != ( X0 @ X6 ) ) )
            | ( ( X2 @ X6 )
             != $true )
            | ( ( X1 @ X6 )
              = $true )
            | ( $true
             != ( X0 @ X6 ) ) )
      <~> ! [X5: a] :
            ( ( ( X1 @ X5 )
              = $true )
            | ( $true
             != ( X0 @ X5 ) ) ) )
      & ! [X4: a] :
          ( ( ( X0 @ X4 )
           != $true )
          | ( ( X2 @ X4 )
            = $true ) )
      & ! [X3: a] :
          ( ( ( X1 @ X3 )
           != $true )
          | ( ( X2 @ X3 )
            = $true ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f7,plain,
    ? [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ( ! [X5: a] :
            ( ( ( X1 @ X5 )
              = $true )
            | ( $true
             != ( X0 @ X5 ) ) )
      <~> ! [X6: a] :
            ( ( $true
             != ( X0 @ X6 ) )
            | ( ( X1 @ X6 )
              = $true )
            | ( ( X2 @ X6 )
             != $true )
            | ( ( ( X2 @ X6 )
                = $true )
              & ( $true
               != ( X0 @ X6 ) ) ) ) )
      & ! [X4: a] :
          ( ( ( X0 @ X4 )
           != $true )
          | ( ( X2 @ X4 )
            = $true ) )
      & ! [X3: a] :
          ( ( ( X1 @ X3 )
           != $true )
          | ( ( X2 @ X3 )
            = $true ) ) ),
    inference(flattening,[],[f6]) ).

thf(f8,plain,
    ? [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ( ? [X6: a] :
            ( ( $true
              = ( X0 @ X6 ) )
            & ( ( X1 @ X6 )
             != $true )
            & ( ( X2 @ X6 )
              = $true )
            & ( ( ( X2 @ X6 )
               != $true )
              | ( $true
                = ( X0 @ X6 ) ) ) )
        | ? [X5: a] :
            ( ( ( X1 @ X5 )
             != $true )
            & ( $true
              = ( X0 @ X5 ) ) ) )
      & ( ! [X6: a] :
            ( ( $true
             != ( X0 @ X6 ) )
            | ( ( X1 @ X6 )
              = $true )
            | ( ( X2 @ X6 )
             != $true )
            | ( ( ( X2 @ X6 )
                = $true )
              & ( $true
               != ( X0 @ X6 ) ) ) )
        | ! [X5: a] :
            ( ( ( X1 @ X5 )
              = $true )
            | ( $true
             != ( X0 @ X5 ) ) ) )
      & ! [X4: a] :
          ( ( ( X0 @ X4 )
           != $true )
          | ( ( X2 @ X4 )
            = $true ) )
      & ! [X3: a] :
          ( ( ( X1 @ X3 )
           != $true )
          | ( ( X2 @ X3 )
            = $true ) ) ),
    inference(nnf_transformation,[],[f7]) ).

thf(f9,plain,
    ? [X2: a > $o,X0: a > $o,X1: a > $o] :
      ( ( ? [X6: a] :
            ( ( $true
              = ( X0 @ X6 ) )
            & ( ( X1 @ X6 )
             != $true )
            & ( ( X2 @ X6 )
              = $true )
            & ( ( ( X2 @ X6 )
               != $true )
              | ( $true
                = ( X0 @ X6 ) ) ) )
        | ? [X5: a] :
            ( ( ( X1 @ X5 )
             != $true )
            & ( $true
              = ( X0 @ X5 ) ) ) )
      & ( ! [X6: a] :
            ( ( $true
             != ( X0 @ X6 ) )
            | ( ( X1 @ X6 )
              = $true )
            | ( ( X2 @ X6 )
             != $true )
            | ( ( ( X2 @ X6 )
                = $true )
              & ( $true
               != ( X0 @ X6 ) ) ) )
        | ! [X5: a] :
            ( ( ( X1 @ X5 )
              = $true )
            | ( $true
             != ( X0 @ X5 ) ) ) )
      & ! [X4: a] :
          ( ( ( X0 @ X4 )
           != $true )
          | ( ( X2 @ X4 )
            = $true ) )
      & ! [X3: a] :
          ( ( ( X1 @ X3 )
           != $true )
          | ( ( X2 @ X3 )
            = $true ) ) ),
    inference(flattening,[],[f8]) ).

thf(f10,plain,
    ? [X0: a > $o,X1: a > $o,X2: a > $o] :
      ( ( ? [X3: a] :
            ( ( ( X1 @ X3 )
              = $true )
            & ( ( X2 @ X3 )
             != $true )
            & ( ( X0 @ X3 )
              = $true )
            & ( ( ( X0 @ X3 )
               != $true )
              | ( ( X1 @ X3 )
                = $true ) ) )
        | ? [X4: a] :
            ( ( ( X2 @ X4 )
             != $true )
            & ( $true
              = ( X1 @ X4 ) ) ) )
      & ( ! [X5: a] :
            ( ( ( X1 @ X5 )
             != $true )
            | ( ( X2 @ X5 )
              = $true )
            | ( $true
             != ( X0 @ X5 ) )
            | ( ( $true
                = ( X0 @ X5 ) )
              & ( ( X1 @ X5 )
               != $true ) ) )
        | ! [X6: a] :
            ( ( ( X2 @ X6 )
              = $true )
            | ( ( X1 @ X6 )
             != $true ) ) )
      & ! [X7: a] :
          ( ( ( X1 @ X7 )
           != $true )
          | ( $true
            = ( X0 @ X7 ) ) )
      & ! [X8: a] :
          ( ( $true
           != ( X2 @ X8 ) )
          | ( $true
            = ( X0 @ X8 ) ) ) ),
    inference(rectify,[],[f9]) ).

thf(f11,plain,
    ( ( ( ( ( sK1 @ sK3 )
          = $true )
        & ( ( sK2 @ sK3 )
         != $true )
        & ( ( sK0 @ sK3 )
          = $true )
        & ( ( ( sK0 @ sK3 )
           != $true )
          | ( ( sK1 @ sK3 )
            = $true ) ) )
      | ( ( $true
         != ( sK2 @ sK4 ) )
        & ( ( sK1 @ sK4 )
          = $true ) ) )
    & ( ! [X5: a] :
          ( ( ( sK1 @ X5 )
           != $true )
          | ( ( sK2 @ X5 )
            = $true )
          | ( ( sK0 @ X5 )
           != $true )
          | ( ( ( sK0 @ X5 )
              = $true )
            & ( ( sK1 @ X5 )
             != $true ) ) )
      | ! [X6: a] :
          ( ( $true
            = ( sK2 @ X6 ) )
          | ( $true
           != ( sK1 @ X6 ) ) ) )
    & ! [X7: a] :
        ( ( ( sK1 @ X7 )
         != $true )
        | ( $true
          = ( sK0 @ X7 ) ) )
    & ! [X8: a] :
        ( ( ( sK2 @ X8 )
         != $true )
        | ( $true
          = ( sK0 @ X8 ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f10]) ).

thf(f13,plain,
    ! [X7: a] :
      ( ( ( sK1 @ X7 )
       != $true )
      | ( $true
        = ( sK0 @ X7 ) ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f14,plain,
    ! [X6: a,X5: a] :
      ( ( ( sK0 @ X5 )
       != $true )
      | ( ( sK1 @ X5 )
       != $true )
      | ( ( sK2 @ X5 )
        = $true )
      | ( ( sK1 @ X5 )
       != $true )
      | ( $true
        = ( sK2 @ X6 ) )
      | ( $true
       != ( sK1 @ X6 ) ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f20,plain,
    ( ( ( sK2 @ sK3 )
     != $true )
    | ( ( sK1 @ sK4 )
      = $true ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f21,plain,
    ( ( $true
     != ( sK2 @ sK4 ) )
    | ( ( sK2 @ sK3 )
     != $true ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f22,plain,
    ( ( ( sK1 @ sK4 )
      = $true )
    | ( ( sK1 @ sK3 )
      = $true ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f23,plain,
    ( ( $true
     != ( sK2 @ sK4 ) )
    | ( ( sK1 @ sK3 )
      = $true ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f26,plain,
    ! [X6: a,X5: a] :
      ( ( ( sK1 @ X5 )
       != $true )
      | ( ( sK2 @ X5 )
        = $true )
      | ( ( sK0 @ X5 )
       != $true )
      | ( $true
        = ( sK2 @ X6 ) )
      | ( $true
       != ( sK1 @ X6 ) ) ),
    inference(duplicate_literal_removal,[],[f14]) ).

thf(f28,definition,
    ( spl5_1
  <=> ! [X6: a] :
        ( ( $true
          = ( sK2 @ X6 ) )
        | ( $true
         != ( sK1 @ X6 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).

thf(f29,plain,
    ( ! [X6: a] :
        ( ( $true
         != ( sK1 @ X6 ) )
        | ( $true
          = ( sK2 @ X6 ) ) )
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f28]) ).

thf(f31,definition,
    ( spl5_2
  <=> ! [X5: a] :
        ( ( ( sK1 @ X5 )
         != $true )
        | ( ( sK0 @ X5 )
         != $true )
        | ( ( sK2 @ X5 )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).

thf(f32,plain,
    ( ! [X5: a] :
        ( ( ( sK2 @ X5 )
          = $true )
        | ( ( sK1 @ X5 )
         != $true )
        | ( ( sK0 @ X5 )
         != $true ) )
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f31]) ).

thf(f33,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f26,f31,f28]) ).

thf(f35,definition,
    ( spl5_3
  <=> ( ( sK1 @ sK3 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).

thf(f37,plain,
    ( ( ( sK1 @ sK3 )
      = $true )
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f35]) ).

thf(f39,definition,
    ( spl5_4
  <=> ( ( sK1 @ sK4 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).

thf(f41,plain,
    ( ( ( sK1 @ sK4 )
      = $true )
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f39]) ).

thf(f42,plain,
    ( spl5_3
    | spl5_4 ),
    inference(avatar_split_clause,[],[f22,f39,f35]) ).

thf(f48,definition,
    ( spl5_6
  <=> ( $true
      = ( sK2 @ sK4 ) ) ),
    introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).

thf(f50,plain,
    ( ( $true
     != ( sK2 @ sK4 ) )
    | spl5_6 ),
    inference(avatar_component_clause,[],[f48]) ).

thf(f53,definition,
    ( spl5_7
  <=> ( ( sK2 @ sK3 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).

thf(f55,plain,
    ( ( ( sK2 @ sK3 )
     != $true )
    | spl5_7 ),
    inference(avatar_component_clause,[],[f53]) ).

thf(f56,plain,
    ( spl5_4
    | ~ spl5_7 ),
    inference(avatar_split_clause,[],[f20,f53,f39]) ).

thf(f59,plain,
    ( ~ spl5_7
    | ~ spl5_6 ),
    inference(avatar_split_clause,[],[f21,f48,f53]) ).

thf(f60,plain,
    ( ~ spl5_6
    | spl5_3 ),
    inference(avatar_split_clause,[],[f23,f35,f48]) ).

thf(f62,plain,
    ( ! [X5: a] :
        ( ( ( sK2 @ X5 )
          = $true )
        | ( ( sK1 @ X5 )
         != $true ) )
    | ~ spl5_2 ),
    inference(forward_subsumption_resolution,[],[f32,f13]) ).

thf(f63,plain,
    ( spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f62,f31,f28]) ).

thf(f66,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK2 @ sK4 ) )
    | ~ spl5_1
    | ~ spl5_4 ),
    inference(constrained_superposition,[],[f29,f41]) ).

thf(f67,plain,
    ( ( $true
      = ( sK2 @ sK4 ) )
    | ~ spl5_1
    | ~ spl5_4 ),
    inference(trivial_inequality_removal,[],[f66]) ).

thf(f68,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_4
    | spl5_6 ),
    inference(forward_subsumption_resolution,[],[f67,f50]) ).

thf(f69,plain,
    ( ~ spl5_1
    | ~ spl5_4
    | spl5_6 ),
    inference(avatar_contradiction_clause,[],[f68]) ).

thf(f70,plain,
    ( ( $true != $true )
    | ( ( sK2 @ sK3 )
      = $true )
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(constrained_superposition,[],[f29,f37]) ).

thf(f73,plain,
    ( ( ( sK2 @ sK3 )
      = $true )
    | ~ spl5_1
    | ~ spl5_3 ),
    inference(trivial_inequality_removal,[],[f70]) ).

thf(f74,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_3
    | spl5_7 ),
    inference(forward_subsumption_resolution,[],[f73,f55]) ).

thf(f75,plain,
    ( ~ spl5_1
    | ~ spl5_3
    | spl5_7 ),
    inference(avatar_contradiction_clause,[],[f74]) ).

cnf(s1,plain,
    ( spl5_1
    | spl5_2 ),
    inference(sat_conversion,[],[f33]) ).

cnf(s2,plain,
    ( spl5_3
    | spl5_4 ),
    inference(sat_conversion,[],[f42]) ).

cnf(s4,plain,
    ( spl5_4
    | ~ spl5_7 ),
    inference(sat_conversion,[],[f56]) ).

cnf(s7,plain,
    ( ~ spl5_6
    | ~ spl5_7 ),
    inference(sat_conversion,[],[f59]) ).

cnf(s8,plain,
    ( spl5_3
    | ~ spl5_6 ),
    inference(sat_conversion,[],[f60]) ).

cnf(s10,plain,
    ( spl5_1
    | ~ spl5_2 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s11,plain,
    ( ~ spl5_1
    | ~ spl5_4
    | spl5_6 ),
    inference(sat_conversion,[],[f69]) ).

cnf(s12,plain,
    ( ~ spl5_1
    | ~ spl5_3
    | spl5_7 ),
    inference(sat_conversion,[],[f75]) ).

cnf(s13,plain,
    spl5_1,
    inference(rat,[],[s1,s10]) ).

cnf(s14,plain,
    spl5_3,
    inference(rat,[],[s11,s2,s8,s13]) ).

cnf(s15,plain,
    spl5_7,
    inference(rat,[],[s12,s13,s14]) ).

cnf(s16,plain,
    ~ spl5_6,
    inference(rat,[],[s7,s15]) ).

cnf(s17,plain,
    spl5_4,
    inference(rat,[],[s4,s15]) ).

cnf(s18,plain,
    $false,
    inference(rat,[],[s11,s13,s16,s17]) ).

thf(f76,plain,
    $false,
    inference(avatar_sat_refutation,[],[s18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU853^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17  % Computer : n008.cluster.edu
% 0.10/0.17  % Model    : x86_64 x86_64
% 0.10/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17  % Memory   : 8046.5625MB
% 0.10/0.17  % OS       : Linux 6.8.0-71-generic
% 0.10/0.17  % CPULimit : 300
% 0.10/0.17  % WCLimit  : 300
% 0.10/0.17  % DateTime : Tue Sep 29 14:40:54 UTC 2026
% 0.10/0.18  % CPUTime  : 
% 0.10/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21  Running higher-order theorem proving
% 0.10/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.26  % (3250796)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.10/0.26  % (3250807)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.10/0.26  % (3250807)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.10/0.26  % (3250807)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4278190806:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.10/0.26  % (3250802)lrs+10_16_si=on:nwc=1.5:random_seed=114796285:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.10/0.26  % (3250801)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=987180742:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.10/0.26  % (3250804)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=566632160:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.10/0.26  % (3250803)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3016722276:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.10/0.26  % (3250805)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2128554195:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.10/0.26  % (3250806)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2210032027:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.10/0.26  % (3250802) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3250796-3250802"...
% 0.10/0.26  % (3250801) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3250796-3250801"...
% 0.10/0.26  % (3250803) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3250796-3250803"...
% 0.10/0.26  % (3250804) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3250796-3250804"...
% 0.10/0.26  % (3250805) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3250796-3250805"...
% 0.10/0.26  % (3250806) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3250796-3250806"...
% 0.10/0.26  % (3250802)...printing done.
% 0.10/0.26  % (3250801)...printing done.
% 0.10/0.26  % (3250803)...printing done.
% 0.10/0.26  % (3250804)...printing done.
% 0.10/0.26  % (3250805)...printing done.
% 0.10/0.26  % (3250802)Refutation found. Thanks to Tanya!
% 0.10/0.26  % SZS status Theorem for theBenchmark
% 0.10/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.27  % (3250802)------------------------------
% 0.37/0.27  % (3250802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.27  % (3250802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.27  % (3250802)CaDiCaL version: 2.1.3
% 0.37/0.27  % (3250802)Termination reason: Refutation
% 0.37/0.27  % (3250802)Time elapsed: 0.004 s
% 0.37/0.27  % (3250802)Peak memory usage: 13 MB
% 0.37/0.27  % (3250802)Instructions burned: 5 (million)
% 0.37/0.27  % (3250796)Success in time 0.037 s
% 0.37/0.27  % Vampire exiting
%------------------------------------------------------------------------------