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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYO213^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 08:47:12 AM UTC 2026

% Result   : Theorem 1.14s 0.52s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   57 (  18 unt;   0 typ;   2 def)
%            Number of atoms       :  333 ( 115 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  489 (  73   ~;  58   |;   0   &; 285   @)
%                                         (   2 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  144 ( 144   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  16 usr;   6 con; 0-4 aty)
%                                         (  26  !!;  22  ??;   0 @@+;   0 @@-)
%            Number of variables   :  137 (   0 sgn  61   !;   6   ?; 137   :)

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

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

thf(func_def_1,type,
    vNOT: $o > $o ).

thf(func_def_2,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_3,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_4,type,
    vIMP: $o > $o > $o ).

thf(func_def_5,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_6,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_7,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_8,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_9,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_10,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_13,type,
    sK0: a > a > $o ).

thf(func_def_14,type,
    sK1: ( a > $o ) > a ).

thf(func_def_16,type,
    sK3: ( a > a ) > a > ( a > a > $o ) > a ).

thf(f1,conjecture,
    ~ ? [X0: a > a > $o] :
      ! [X1: a > $o] :
      ? [X2: a] :
      ! [X3: $o > $o] :
        ( ( X3
          @ ( ( X0 @ X2 )
            = X1 ) )
       => ( X3 @ ( X1 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT30) ).

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

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

thf(f4,plain,
    ( ( ~ ~ ( ?? @ ( a > a > $o )
            @ ^ [Y0: a > a > $o] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ?? @ a
                    @ ^ [Y2: a] :
                        ( !! @ ( $o > $o )
                        @ ^ [Y3: $o > $o] :
                            ( ( Y3
                              @ ( ( Y0 @ Y2 )
                                = Y1 ) )
                           => ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f3]) ).

thf(f5,plain,
    ( ( ~ ~ ( ?? @ ( a > a > $o )
            @ ^ [Y0: a > a > $o] :
                ( !! @ ( a > $o )
                @ ^ [Y1: a > $o] :
                    ( ?? @ a
                    @ ^ [Y2: a] :
                        ( !! @ ( $o > $o )
                        @ ^ [Y3: $o > $o] :
                            ( ( Y3
                              @ ( ( Y0 @ Y2 )
                                = Y1 ) )
                           => ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f4]) ).

thf(f9,plain,
    ( ( $true
      = ( ~ ~ $false ) )
    | ( $true
      = ( ?? @ ( a > a > $o )
        @ ^ [Y0: a > a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ?? @ a
                @ ^ [Y2: a] :
                    ( !! @ ( $o > $o )
                    @ ^ [Y3: $o > $o] :
                        ( ( Y3
                          @ ( ( Y0 @ Y2 )
                            = Y1 ) )
                       => ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) ) ),
    inference(cases_simplifying,[],[f5]) ).

thf(f27,plain,
    ( ( ( ~ $true ) = $true )
    | ( $true
      = ( ?? @ ( a > a > $o )
        @ ^ [Y0: a > a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ?? @ a
                @ ^ [Y2: a] :
                    ( !! @ ( $o > $o )
                    @ ^ [Y3: $o > $o] :
                        ( ( Y3
                          @ ( ( Y0 @ Y2 )
                            = Y1 ) )
                       => ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) )
    | ( $false = ( ~ $false ) ) ),
    inference(cases_simplifying,[],[f9]) ).

thf(f31,plain,
    ( ( $true = $false )
    | ( $false = ( ~ $false ) )
    | ( $true
      = ( ?? @ ( a > a > $o )
        @ ^ [Y0: a > a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ?? @ a
                @ ^ [Y2: a] :
                    ( !! @ ( $o > $o )
                    @ ^ [Y3: $o > $o] :
                        ( ( Y3
                          @ ( ( Y0 @ Y2 )
                            = Y1 ) )
                       => ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) ) ),
    inference(boolean_simplification,[],[f27]) ).

thf(f32,plain,
    ( ( $false = ( ~ $false ) )
    | ( $true
      = ( ?? @ ( a > a > $o )
        @ ^ [Y0: a > a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ?? @ a
                @ ^ [Y2: a] :
                    ( !! @ ( $o > $o )
                    @ ^ [Y3: $o > $o] :
                        ( ( Y3
                          @ ( ( Y0 @ Y2 )
                            = Y1 ) )
                       => ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f31]) ).

thf(f33,plain,
    ( ( $true = $false )
    | ( $true
      = ( ?? @ ( a > a > $o )
        @ ^ [Y0: a > a > $o] :
            ( !! @ ( a > $o )
            @ ^ [Y1: a > $o] :
                ( ?? @ a
                @ ^ [Y2: a] :
                    ( !! @ ( $o > $o )
                    @ ^ [Y3: $o > $o] :
                        ( ( Y3
                          @ ( ( Y0 @ Y2 )
                            = Y1 ) )
                       => ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) ) ),
    inference(boolean_simplification,[],[f32]) ).

thf(f34,plain,
    ( $true
    = ( ?? @ ( a > a > $o )
      @ ^ [Y0: a > a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( ?? @ a
              @ ^ [Y2: a] :
                  ( !! @ ( $o > $o )
                  @ ^ [Y3: $o > $o] :
                      ( ( Y3
                        @ ( ( Y0 @ Y2 )
                          = Y1 ) )
                     => ( Y3 @ ( Y1 = Y1 ) ) ) ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f33]) ).

thf(f35,plain,
    ( ( ?? @ ( a > a > $o )
      @ ^ [Y0: a > a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( ?? @ a
              @ ^ [Y2: a] :
                  ( !! @ ( $o > $o )
                  @ ^ [Y3: $o > $o] :
                      ( ( Y3
                        @ ( ( Y0 @ Y2 )
                          = Y1 ) )
                     => ( Y3 @ $true ) ) ) ) ) )
    = $true ),
    inference(boolean_simplification,[],[f34]) ).

thf(f42,plain,
    ( $true
    = ( ^ [Y0: a > a > $o] :
          ( !! @ ( a > $o )
          @ ^ [Y1: a > $o] :
              ( ?? @ a
              @ ^ [Y2: a] :
                  ( !! @ ( $o > $o )
                  @ ^ [Y3: $o > $o] :
                      ( ( Y3
                        @ ( ( Y0 @ Y2 )
                          = Y1 ) )
                     => ( Y3 @ $true ) ) ) ) )
      @ sK0 ) ),
    inference(sigma_proxy_clausification,[],[f35]) ).

thf(f43,plain,
    ( $true
    = ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( ?? @ a
          @ ^ [Y1: a] :
              ( !! @ ( $o > $o )
              @ ^ [Y2: $o > $o] :
                  ( ( Y2
                    @ ( ( sK0 @ Y1 )
                      = Y0 ) )
                 => ( Y2 @ $true ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f42]) ).

thf(f46,plain,
    ! [X1: a > $o] :
      ( $true
      = ( ^ [Y0: a > $o] :
            ( ?? @ a
            @ ^ [Y1: a] :
                ( !! @ ( $o > $o )
                @ ^ [Y2: $o > $o] :
                    ( ( Y2
                      @ ( ( sK0 @ Y1 )
                        = Y0 ) )
                   => ( Y2 @ $true ) ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f43]) ).

thf(f47,plain,
    ! [X1: a > $o] :
      ( $true
      = ( ?? @ a
        @ ^ [Y0: a] :
            ( !! @ ( $o > $o )
            @ ^ [Y1: $o > $o] :
                ( ( Y1
                  @ ( ( sK0 @ Y0 )
                    = X1 ) )
               => ( Y1 @ $true ) ) ) ) ),
    inference(beta-eta_normalization,[],[f46]) ).

thf(f50,plain,
    ! [X1: a > $o] :
      ( $true
      = ( ^ [Y0: a] :
            ( !! @ ( $o > $o )
            @ ^ [Y1: $o > $o] :
                ( ( Y1
                  @ ( ( sK0 @ Y0 )
                    = X1 ) )
               => ( Y1 @ $true ) ) )
        @ ( sK1 @ X1 ) ) ),
    inference(sigma_proxy_clausification,[],[f47]) ).

thf(f51,plain,
    ! [X1: a > $o] :
      ( $true
      = ( !! @ ( $o > $o )
        @ ^ [Y0: $o > $o] :
            ( ( Y0
              @ ( ( sK0 @ ( sK1 @ X1 ) )
                = X1 ) )
           => ( Y0 @ $true ) ) ) ),
    inference(beta-eta_normalization,[],[f50]) ).

thf(f170,plain,
    ! [X2: $o > $o,X1: a > $o] :
      ( $true
      = ( ^ [Y0: $o > $o] :
            ( ( Y0
              @ ( ( sK0 @ ( sK1 @ X1 ) )
                = X1 ) )
           => ( Y0 @ $true ) )
        @ X2 ) ),
    inference(pi_proxy_clausification,[],[f51]) ).

thf(f171,plain,
    ! [X2: $o > $o,X1: a > $o] :
      ( $true
      = ( ( X2
          @ ( ( sK0 @ ( sK1 @ X1 ) )
            = X1 ) )
       => ( X2 @ $true ) ) ),
    inference(beta-eta_normalization,[],[f170]) ).

thf(f173,plain,
    ! [X2: $o > $o,X1: a > $o] :
      ( ( $true
        = ( ( sK0 @ ( sK1 @ X1 ) )
          = X1 ) )
      | ( $true
        = ( ( X2 @ $false )
         => ( X2 @ $true ) ) ) ),
    inference(cases_simplifying,[],[f171]) ).

thf(f262,plain,
    ! [X2: $o > $o,X1: a > $o] :
      ( ( $true
        = ( ( sK0 @ ( sK1 @ X1 ) )
          = X1 ) )
      | ( $false
        = ( X2 @ $false ) )
      | ( $true
        = ( $true
         => ( X2 @ $true ) ) ) ),
    inference(cases_simplifying,[],[f173]) ).

thf(f280,plain,
    ! [X2: $o > $o,X1: a > $o] :
      ( ( $false
        = ( X2 @ $false ) )
      | ( ( X2 @ $true )
        = $true )
      | ( $true
        = ( ( sK0 @ ( sK1 @ X1 ) )
          = X1 ) )
      | ( $true
        = ( $true
         => $false ) ) ),
    inference(cases_simplifying,[],[f262]) ).

thf(f281,plain,
    ! [X2: $o > $o,X1: a > $o] :
      ( ( $true
        = ( ( sK0 @ ( sK1 @ X1 ) )
          = X1 ) )
      | ( $true = $false )
      | ( ( X2 @ $true )
        = $true )
      | ( $false
        = ( X2 @ $false ) ) ),
    inference(boolean_simplification,[],[f280]) ).

thf(f282,plain,
    ! [X2: $o > $o,X1: a > $o] :
      ( ( ( X2 @ $true )
        = $true )
      | ( $true
        = ( ( sK0 @ ( sK1 @ X1 ) )
          = X1 ) )
      | ( $false
        = ( X2 @ $false ) ) ),
    inference(trivial_inequality_removal,[],[f281]) ).

thf(f299,plain,
    ! [X2: $o > $o,X1: a > $o] :
      ( ( ( sK0 @ ( sK1 @ X1 ) )
        = X1 )
      | ( ( X2 @ $true )
        = $true )
      | ( $false
        = ( X2 @ $false ) ) ),
    inference(equality_proxy_clausification,[],[f282]) ).

thf(f301,definition,
    ( spl2_1
  <=> ! [X1: a > $o] :
        ( ( sK0 @ ( sK1 @ X1 ) )
        = X1 ) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

thf(f302,plain,
    ( ! [X1: a > $o] :
        ( ( sK0 @ ( sK1 @ X1 ) )
        = X1 )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f301]) ).

thf(f304,definition,
    ( spl2_2
  <=> ! [X2: $o > $o] :
        ( ( $false
          = ( X2 @ $false ) )
        | ( ( X2 @ $true )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

thf(f305,plain,
    ( ! [X2: $o > $o] :
        ( ( ( X2 @ $true )
          = $true )
        | ( $false
          = ( X2 @ $false ) ) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f304]) ).

thf(f317,plain,
    ( spl2_2
    | spl2_1 ),
    inference(avatar_split_clause,[],[f299,f301,f304]) ).

thf(f318,plain,
    ( ( $true = $false )
    | ~ spl2_2 ),
    inference(leibniz_equality_elimination,[],[f305]) ).

thf(f352,plain,
    ( $false
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f318]) ).

thf(f353,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f352]) ).

thf(f356,plain,
    ( ! [X2: a,X1: a > $o] :
        ( ( X1 @ X2 )
        = ( sK0 @ ( sK1 @ X1 ) @ X2 ) )
    | ~ spl2_1 ),
    inference(argument_congruence,[],[f302]) ).

thf(f359,plain,
    ( ! [X2: a,X3: a > $o] :
        ( ( ^ [Y0: a] :
              ~ ( X3 @ Y0 )
          @ X2 )
        = ( sK0
          @ ( sK1
            @ ^ [Y0: a] :
                ~ ( X3 @ Y0 ) )
          @ X2 ) )
    | ~ spl2_1 ),
    inference(primitive_instantiation,[],[f356]) ).

thf(f362,plain,
    ( ! [X2: a,X3: a > $o] :
        ( ( ~ ( X3 @ X2 ) )
        = ( sK0
          @ ( sK1
            @ ^ [Y0: a] :
                ~ ( X3 @ Y0 ) )
          @ X2 ) )
    | ~ spl2_1 ),
    inference(beta-eta_normalization,[],[f359]) ).

thf(f363,plain,
    ( ! [X2: a,X3: a > $o] :
        ( ( $false
          = ( X3 @ X2 ) )
        | ( ( ~ $true )
          = ( sK0
            @ ( sK1
              @ ^ [Y0: a] :
                  ~ ( X3 @ Y0 ) )
            @ X2 ) ) )
    | ~ spl2_1 ),
    inference(cases_simplifying,[],[f362]) ).

thf(f364,plain,
    ( ! [X2: a,X3: a > $o] :
        ( ( ( sK0
            @ ( sK1
              @ ^ [Y0: a] :
                  ~ ( X3 @ Y0 ) )
            @ X2 )
          = ( ~ $false ) )
        | ( $true
          = ( X3 @ X2 ) ) )
    | ~ spl2_1 ),
    inference(cases_simplifying,[],[f362]) ).

thf(f365,plain,
    ( ! [X2: a,X3: a > $o] :
        ( ( $true
          = ( sK0
            @ ( sK1
              @ ^ [Y0: a] :
                  ~ ( X3 @ Y0 ) )
            @ X2 ) )
        | ( $true
          = ( X3 @ X2 ) ) )
    | ~ spl2_1 ),
    inference(boolean_simplification,[],[f364]) ).

thf(f366,plain,
    ( ! [X2: a,X3: a > $o] :
        ( ( ( sK0
            @ ( sK1
              @ ^ [Y0: a] :
                  ~ ( X3 @ Y0 ) )
            @ X2 )
          = $false )
        | ( $false
          = ( X3 @ X2 ) ) )
    | ~ spl2_1 ),
    inference(boolean_simplification,[],[f363]) ).

thf(f377,plain,
    ( ! [X0: a > $o,X1: a] :
        ( ( ( sK0
            @ ( sK1
              @ ^ [Y0: a] :
                  ~ ( X0 @ Y0 ) )
            @ X1 )
         != ( X0 @ X1 ) )
        | ( $true != $true )
        | ( $true
          = ( X0 @ X1 ) ) )
    | ~ spl2_1 ),
    inference(equality_factoring,[],[f365]) ).

thf(f383,plain,
    ( ! [X0: a > $o,X1: a] :
        ( ( $true
          = ( X0 @ X1 ) )
        | ( ( sK0
            @ ( sK1
              @ ^ [Y0: a] :
                  ~ ( X0 @ Y0 ) )
            @ X1 )
         != ( X0 @ X1 ) ) )
    | ~ spl2_1 ),
    inference(trivial_inequality_removal,[],[f377]) ).

thf(f393,plain,
    ( ! [X0: a > $o,X1: a] :
        ( ( $false
          = ( X0 @ X1 ) )
        | ( ( sK0
            @ ( sK1
              @ ^ [Y0: a] :
                  ~ ( X0 @ Y0 ) )
            @ X1 )
         != ( X0 @ X1 ) )
        | ( $false != $false ) )
    | ~ spl2_1 ),
    inference(equality_factoring,[],[f366]) ).

thf(f394,plain,
    ( ! [X0: a > $o,X1: a] :
        ( ( ( sK0
            @ ( sK1
              @ ^ [Y0: a] :
                  ~ ( X0 @ Y0 ) )
            @ X1 )
         != ( X0 @ X1 ) )
        | ( $false
          = ( X0 @ X1 ) ) )
    | ~ spl2_1 ),
    inference(trivial_inequality_removal,[],[f393]) ).

thf(f407,plain,
    ( ! [X0: a > $o,X1: a] :
        ( ( $true = $false )
        | ( ( sK0
            @ ( sK1
              @ ^ [Y0: a] :
                  ~ ( X0 @ Y0 ) )
            @ X1 )
         != ( X0 @ X1 ) ) )
    | ~ spl2_1 ),
    inference(backward_subsumption_demodulation,[],[f383,f394]) ).

thf(f408,plain,
    ( ! [X0: a > $o,X1: a] :
        ( ( sK0
          @ ( sK1
            @ ^ [Y0: a] :
                ~ ( X0 @ Y0 ) )
          @ X1 )
       != ( X0 @ X1 ) )
    | ~ spl2_1 ),
    inference(trivial_inequality_removal,[],[f407]) ).

thf(f415,plain,
    ( ! [X0: a,X1: a > a] :
        ( ( ( X1 @ X0 )
         != X0 )
        | ( ( sK1
            @ ^ [Y0: a] :
                ~ ( sK0
                  @ ( ^ [Y1: a] : Y1
                    @ Y0 )
                  @ ( X1 @ Y0 ) ) )
         != X0 ) )
    | ~ spl2_1 ),
    inference(equality_resolution,[],[f408]) ).

thf(f420,plain,
    ( ! [X0: a,X1: a > a] :
        ( ( ( sK1
            @ ^ [Y0: a] :
                ~ ( sK0 @ Y0 @ ( X1 @ Y0 ) ) )
         != X0 )
        | ( ( X1 @ X0 )
         != X0 ) )
    | ~ spl2_1 ),
    inference(beta-eta_normalization,[],[f415]) ).

thf(f470,plain,
    ( ! [X0: a > a] :
        ( ( sK1
          @ ^ [Y0: a] :
              ~ ( sK0 @ Y0 @ ( X0 @ Y0 ) ) )
       != ( X0
          @ ( sK1
            @ ^ [Y0: a] :
                ~ ( sK0 @ Y0 @ ( X0 @ Y0 ) ) ) ) )
    | ~ spl2_1 ),
    inference(equality_resolution,[],[f420]) ).

thf(f483,plain,
    ( $false
    | ~ spl2_1 ),
    inference(equality_resolution,[],[f470]) ).

thf(f486,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f483]) ).

cnf(s12,plain,
    ( spl2_1
    | spl2_2 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s14,plain,
    ~ spl2_2,
    inference(sat_conversion,[],[f353]) ).

cnf(s15,plain,
    ~ spl2_1,
    inference(sat_conversion,[],[f486]) ).

cnf(s16,plain,
    $false,
    inference(rat,[],[s12,s14,s15]) ).

thf(f487,plain,
    $false,
    inference(avatar_sat_refutation,[],[s16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SYO213^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25  % Computer : n010.cluster.edu
% 0.11/0.25  % Model    : x86_64 x86_64
% 0.11/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25  % Memory   : 8046.5625MB
% 0.11/0.25  % OS       : Linux 6.8.0-71-generic
% 0.11/0.25  % CPULimit : 300
% 0.11/0.25  % WCLimit  : 300
% 0.11/0.25  % DateTime : Tue Sep 29 16:39:49 UTC 2026
% 0.11/0.26  % CPUTime  : 
% 0.11/0.26  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31  Running higher-order theorem proving
% 0.25/0.32  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.42  % (3110075)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.56/0.42  % (3110083)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=551547985: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)
% 0.56/0.42  % (3110083)Refutation not found, incomplete strategy
% 0.56/0.42  % (3110083)------------------------------
% 0.56/0.42  % (3110083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42  % (3110083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42  % (3110083)CaDiCaL version: 2.1.3
% 0.56/0.42  % (3110083)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.42  % (3110083)Time elapsed: 0.002 s
% 0.56/0.42  % (3110083)Peak memory usage: 12 MB
% 0.56/0.42  % (3110083)Instructions burned: 2 (million)
% 0.56/0.42  % (3110084)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=446116358:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.56/0.42  % (3110083)------------------------------
% 0.56/0.42  % (3110083)------------------------------
% 0.56/0.42  % (3110084)Refutation not found, incomplete strategy
% 0.56/0.42  % (3110084)------------------------------
% 0.56/0.42  % (3110084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42  % (3110084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42  % (3110084)CaDiCaL version: 2.1.3
% 0.56/0.42  % (3110084)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.42  % (3110084)Time elapsed: 0.002 s
% 0.56/0.42  % (3110084)Peak memory usage: 12 MB
% 0.56/0.42  % (3110084)Instructions burned: 2 (million)
% 0.56/0.42  % (3110084)------------------------------
% 0.56/0.42  % (3110084)------------------------------
% 0.56/0.42  % (3110086)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.56/0.42  % (3110086)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
% 0.56/0.42  % (3110081)lrs+10_16_si=on:nwc=1.5:random_seed=3945317331:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.56/0.42  % (3110080)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1717145418:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.56/0.42  % (3110082)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3063985872:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.56/0.42  % (3110085)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1042735992:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.56/0.42  % (3110082)Refutation not found, incomplete strategy
% 0.56/0.42  % (3110082)------------------------------
% 0.56/0.42  % (3110082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42  % (3110082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42  % (3110082)CaDiCaL version: 2.1.3
% 0.56/0.42  % (3110082)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.42  % (3110082)Time elapsed: 0.002 s
% 0.56/0.42  % (3110082)Peak memory usage: 12 MB
% 0.56/0.42  % (3110082)Instructions burned: 1 (million)
% 0.56/0.42  % (3110086)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=1312932666:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.56/0.42  % (3110080)Refutation not found, incomplete strategy
% 0.56/0.42  % (3110080)------------------------------
% 0.56/0.42  % (3110080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.42  % (3110080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.42  % (3110080)CaDiCaL version: 2.1.3
% 0.56/0.42  % (3110080)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.42  % (3110080)Time elapsed: 0.003 s
% 0.56/0.42  % (3110080)Peak memory usage: 12 MB
% 0.56/0.42  % (3110080)Instructions burned: 2 (million)
% 0.56/0.42  % (3110082)------------------------------
% 0.56/0.42  % (3110082)------------------------------
% 0.56/0.42  % (3110080)------------------------------
% 0.56/0.42  % (3110080)------------------------------
% 0.56/0.45  % (3110085)Refutation not found, incomplete strategy
% 0.56/0.45  % (3110085)------------------------------
% 0.56/0.45  % (3110085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45  % (3110085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45  % (3110085)CaDiCaL version: 2.1.3
% 0.56/0.45  % (3110085)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.45  % (3110085)Time elapsed: 0.003 s
% 0.56/0.45  % (3110085)Peak memory usage: 12 MB
% 0.56/0.45  % (3110085)Instructions burned: 2 (million)
% 0.56/0.45  % (3110089)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3438818750:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.45  % (3110085)------------------------------
% 0.56/0.45  % (3110085)------------------------------
% 0.56/0.45  % (3110089)Instruction limit reached! 
% 0.56/0.45  % (3110089)------------------------------
% 0.56/0.45  % (3110089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45  % (3110089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45  % (3110089)CaDiCaL version: 2.1.3
% 0.56/0.45  % (3110089)Termination reason: Instruction limit
% 0.56/0.45  % (3110089)Termination phase: Saturation
% 0.56/0.45  % (3110089)Time elapsed: 0.005 s
% 0.56/0.45  % (3110089)Peak memory usage: 12 MB
% 0.56/0.45  % (3110089)Instructions burned: 9 (million)
% 0.56/0.45  % (3110086)Refutation not found, incomplete strategy
% 0.56/0.45  % (3110086)------------------------------
% 0.56/0.45  % (3110086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45  % (3110086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45  % (3110086)CaDiCaL version: 2.1.3
% 0.56/0.45  % (3110086)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.45  % (3110086)Time elapsed: 0.011 s
% 0.56/0.45  % (3110086)Peak memory usage: 12 MB
% 0.56/0.45  % (3110086)Instructions burned: 6 (million)
% 0.56/0.45  % (3110086)------------------------------
% 0.56/0.45  % (3110086)------------------------------
% 0.56/0.45  % (3110081)Instruction limit reached! 
% 0.56/0.45  % (3110081)------------------------------
% 0.56/0.45  % (3110081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45  % (3110081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45  % (3110081)CaDiCaL version: 2.1.3
% 0.56/0.45  % (3110081)Termination reason: Instruction limit
% 0.56/0.45  % (3110081)Termination phase: Saturation
% 0.56/0.45  % (3110081)Time elapsed: 0.018 s
% 0.56/0.45  % (3110081)Peak memory usage: 12 MB
% 0.56/0.45  % (3110081)Instructions burned: 18 (million)
% 0.56/0.45  % (3110099)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
% 0.56/0.45  % (3110099)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.45  % (3110090)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2238531460:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.56/0.45  % (3110099)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=961214027:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.56/0.45  % (3110096)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.45  % (3110090)Instruction limit reached! 
% 0.56/0.45  % (3110090)------------------------------
% 0.56/0.45  % (3110090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45  % (3110090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45  % (3110090)CaDiCaL version: 2.1.3
% 0.56/0.45  % (3110090)Termination reason: Instruction limit
% 0.56/0.45  % (3110090)Termination phase: Saturation
% 0.56/0.45  % (3110090)Time elapsed: 0.006 s
% 0.56/0.45  % (3110090)Peak memory usage: 12 MB
% 0.56/0.45  % (3110090)Instructions burned: 5 (million)
% 0.56/0.45  % (3110096)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4211901024:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.56/0.45  % (3110097)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1573796997:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.14/0.48  % (3110097)Refutation not found, incomplete strategy
% 1.14/0.48  % (3110097)------------------------------
% 1.14/0.48  % (3110097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48  % (3110097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48  % (3110097)CaDiCaL version: 2.1.3
% 1.14/0.48  % (3110097)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.48  % (3110097)Time elapsed: 0.003 s
% 1.14/0.48  % (3110097)Peak memory usage: 12 MB
% 1.14/0.48  % (3110097)Instructions burned: 2 (million)
% 1.14/0.48  % (3110097)------------------------------
% 1.14/0.48  % (3110097)------------------------------
% 1.14/0.48  % (3110099)Instruction limit reached! 
% 1.14/0.48  % (3110099)------------------------------
% 1.14/0.48  % (3110099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48  % (3110099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48  % (3110099)CaDiCaL version: 2.1.3
% 1.14/0.48  % (3110099)Termination reason: Instruction limit
% 1.14/0.48  % (3110099)Termination phase: Saturation
% 1.14/0.48  % (3110099)Time elapsed: 0.013 s
% 1.14/0.48  % (3110099)Peak memory usage: 12 MB
% 1.14/0.48  % (3110099)Instructions burned: 28 (million)
% 1.14/0.48  % (3110096)Instruction limit reached! 
% 1.14/0.48  % (3110096)------------------------------
% 1.14/0.48  % (3110096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48  % (3110096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48  % (3110096)CaDiCaL version: 2.1.3
% 1.14/0.48  % (3110096)Termination reason: Instruction limit
% 1.14/0.48  % (3110096)Termination phase: Saturation
% 1.14/0.48  % (3110096)Time elapsed: 0.007 s
% 1.14/0.48  % (3110096)Peak memory usage: 12 MB
% 1.14/0.48  % (3110096)Instructions burned: 7 (million)
% 1.14/0.48  % (3110100)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=931690418:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.14/0.48  % (3110102)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.14/0.48  % (3110102)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1457613089:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.14/0.48  % (3110101)lrs+10_1_si=on:cs=on:random_seed=2688844753:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.14/0.48  % (3110101)Refutation not found, incomplete strategy
% 1.14/0.48  % (3110101)------------------------------
% 1.14/0.48  % (3110101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48  % (3110101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48  % (3110101)CaDiCaL version: 2.1.3
% 1.14/0.48  % (3110101)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.48  % (3110101)Time elapsed: 0.003 s
% 1.14/0.48  % (3110101)Peak memory usage: 12 MB
% 1.14/0.48  % (3110101)Instructions burned: 1 (million)
% 1.14/0.48  % (3110102)Instruction limit reached! 
% 1.14/0.48  % (3110102)------------------------------
% 1.14/0.48  % (3110102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48  % (3110102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48  % (3110102)CaDiCaL version: 2.1.3
% 1.14/0.48  % (3110102)Termination reason: Instruction limit
% 1.14/0.48  % (3110102)Termination phase: Saturation
% 1.14/0.48  % (3110102)Time elapsed: 0.003 s
% 1.14/0.48  % (3110102)Peak memory usage: 12 MB
% 1.14/0.48  % (3110102)Instructions burned: 2 (million)
% 1.14/0.48  % (3110101)------------------------------
% 1.14/0.48  % (3110101)------------------------------
% 1.14/0.48  % (3110106)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3219688103:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.14/0.48  % (3110100)Refutation not found, incomplete strategy
% 1.14/0.48  % (3110100)------------------------------
% 1.14/0.48  % (3110100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.48  % (3110100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.48  % (3110100)CaDiCaL version: 2.1.3
% 1.14/0.48  % (3110100)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.51  % (3110100)Time elapsed: 0.012 s
% 1.14/0.51  % (3110100)Peak memory usage: 12 MB
% 1.14/0.51  % (3110100)Instructions burned: 11 (million)
% 1.14/0.51  % (3110100)------------------------------
% 1.14/0.51  % (3110100)------------------------------
% 1.14/0.51  % (3110106)Refutation not found, incomplete strategy
% 1.14/0.51  % (3110106)------------------------------
% 1.14/0.51  % (3110106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.51  % (3110106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.51  % (3110106)CaDiCaL version: 2.1.3
% 1.14/0.51  % (3110106)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.51  % (3110106)Time elapsed: 0.002 s
% 1.14/0.51  % (3110106)Peak memory usage: 12 MB
% 1.14/0.51  % (3110106)Instructions burned: 1 (million)
% 1.14/0.51  % (3110106)------------------------------
% 1.14/0.51  % (3110106)------------------------------
% 1.14/0.51  % (3110114)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1907695266:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 1.14/0.51  % (3110114)Refutation not found, incomplete strategy
% 1.14/0.51  % (3110114)------------------------------
% 1.14/0.51  % (3110114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.51  % (3110114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.51  % (3110114)CaDiCaL version: 2.1.3
% 1.14/0.51  % (3110114)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.51  % (3110114)Time elapsed: 0.003 s
% 1.14/0.51  % (3110114)Peak memory usage: 12 MB
% 1.14/0.51  % (3110114)Instructions burned: 3 (million)
% 1.14/0.51  % (3110114)------------------------------
% 1.14/0.51  % (3110114)------------------------------
% 1.14/0.51  % (3110111)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3734911309:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.14/0.51  % (3110109)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=120342440:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.14/0.51  % (3110110)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3492502988:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.14/0.51  % (3110110)Refutation not found, incomplete strategy
% 1.14/0.51  % (3110110)------------------------------
% 1.14/0.51  % (3110110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.51  % (3110110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.51  % (3110110)CaDiCaL version: 2.1.3
% 1.14/0.51  % (3110110)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.51  % (3110110)Time elapsed: 0.001 s
% 1.14/0.51  % (3110110)Peak memory usage: 12 MB
% 1.14/0.51  % (3110111)Refutation not found, incomplete strategy
% 1.14/0.51  % (3110111)------------------------------
% 1.14/0.51  % (3110111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.51  % (3110111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.51  % (3110111)CaDiCaL version: 2.1.3
% 1.14/0.51  % (3110111)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.51  % (3110111)Time elapsed: 0.003 s
% 1.14/0.51  % (3110111)Peak memory usage: 12 MB
% 1.14/0.51  % (3110111)Instructions burned: 1 (million)
% 1.14/0.51  % (3110110)------------------------------
% 1.14/0.51  % (3110110)------------------------------
% 1.14/0.51  % (3110111)------------------------------
% 1.14/0.51  % (3110111)------------------------------
% 1.14/0.51  % (3110109)Refutation not found, incomplete strategy
% 1.14/0.51  % (3110109)------------------------------
% 1.14/0.51  % (3110109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.51  % (3110109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.51  % (3110109)CaDiCaL version: 2.1.3
% 1.14/0.51  % (3110109)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.51  % (3110109)Time elapsed: 0.004 s
% 1.14/0.51  % (3110109)Peak memory usage: 12 MB
% 1.14/0.51  % (3110109)Instructions burned: 3 (million)
% 1.14/0.51  % (3110109)------------------------------
% 1.14/0.51  % (3110109)------------------------------
% 1.14/0.51  % (3110119)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=239413459:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 1.14/0.52  % (3110115)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1073583752:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 1.14/0.52  % (3110119)Refutation not found, incomplete strategy
% 1.14/0.52  % (3110119)------------------------------
% 1.14/0.52  % (3110119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110119)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110119)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.52  % (3110119)Time elapsed: 0.003 s
% 1.14/0.52  % (3110119)Peak memory usage: 12 MB
% 1.14/0.52  % (3110119)Instructions burned: 1 (million)
% 1.14/0.52  % (3110119)------------------------------
% 1.14/0.52  % (3110119)------------------------------
% 1.14/0.52  % (3110117)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=747104768:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.14/0.52  % (3110117)Refutation not found, incomplete strategy
% 1.14/0.52  % (3110117)------------------------------
% 1.14/0.52  % (3110117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110117)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110117)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.52  % (3110117)Time elapsed: 0.003 s
% 1.14/0.52  % (3110117)Peak memory usage: 12 MB
% 1.14/0.52  % (3110117)Instructions burned: 2 (million)
% 1.14/0.52  % (3110117)------------------------------
% 1.14/0.52  % (3110117)------------------------------
% 1.14/0.52  % (3110125)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2854861054:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.14/0.52  % (3110115)Instruction limit reached! 
% 1.14/0.52  % (3110115)------------------------------
% 1.14/0.52  % (3110115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110115)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110115)Termination reason: Instruction limit
% 1.14/0.52  % (3110115)Termination phase: Saturation
% 1.14/0.52  % (3110115)Time elapsed: 0.012 s
% 1.14/0.52  % (3110115)Peak memory usage: 12 MB
% 1.14/0.52  % (3110115)Instructions burned: 14 (million)
% 1.14/0.52  % (3110127)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.14/0.52  % (3110127)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.14/0.52  % (3110125)Instruction limit reached! 
% 1.14/0.52  % (3110125)------------------------------
% 1.14/0.52  % (3110125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110125)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110125)Termination reason: Instruction limit
% 1.14/0.52  % (3110125)Termination phase: Saturation
% 1.14/0.52  % (3110125)Time elapsed: 0.012 s
% 1.14/0.52  % (3110125)Peak memory usage: 12 MB
% 1.14/0.52  % (3110125)Instructions burned: 25 (million)
% 1.14/0.52  % (3110130)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.14/0.52  % (3110126)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3238290400:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.14/0.52  % (3110127)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=4232600010:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.14/0.52  % (3110126)Refutation not found, incomplete strategy
% 1.14/0.52  % (3110126)------------------------------
% 1.14/0.52  % (3110126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110126)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110126)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.52  % (3110126)Time elapsed: 0.003 s
% 1.14/0.52  % (3110126)Peak memory usage: 12 MB
% 1.14/0.52  % (3110126)Instructions burned: 1 (million)
% 1.14/0.52  % (3110130)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3177067742:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.14/0.52  % (3110126)------------------------------
% 1.14/0.52  % (3110126)------------------------------
% 1.14/0.52  % (3110132)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=4050667252:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.14/0.52  % (3110130)Refutation not found, incomplete strategy
% 1.14/0.52  % (3110130)------------------------------
% 1.14/0.52  % (3110130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110130)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110130)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.52  % (3110130)Time elapsed: 0.004 s
% 1.14/0.52  % (3110130)Peak memory usage: 12 MB
% 1.14/0.52  % (3110130)Instructions burned: 3 (million)
% 1.14/0.52  % (3110127)Refutation not found, incomplete strategy
% 1.14/0.52  % (3110127)------------------------------
% 1.14/0.52  % (3110127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110127)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110127)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.52  % (3110127)Time elapsed: 0.009 s
% 1.14/0.52  % (3110127)Peak memory usage: 12 MB
% 1.14/0.52  % (3110127)Instructions burned: 7 (million)
% 1.14/0.52  % (3110130)------------------------------
% 1.14/0.52  % (3110130)------------------------------
% 1.14/0.52  % (3110127)------------------------------
% 1.14/0.52  % (3110127)------------------------------
% 1.14/0.52  % (3110132)Refutation not found, incomplete strategy
% 1.14/0.52  % (3110132)------------------------------
% 1.14/0.52  % (3110132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110132)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110132)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.52  % (3110132)Time elapsed: 0.003 s
% 1.14/0.52  % (3110132)Peak memory usage: 12 MB
% 1.14/0.52  % (3110132)Instructions burned: 1 (million)
% 1.14/0.52  % (3110132)------------------------------
% 1.14/0.52  % (3110132)------------------------------
% 1.14/0.52  % (3110139)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=604266583:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.14/0.52  % (3110139)Refutation not found, incomplete strategy
% 1.14/0.52  % (3110139)------------------------------
% 1.14/0.52  % (3110139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110139)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110139)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.52  % (3110139)Time elapsed: 0.002 s
% 1.14/0.52  % (3110139)Peak memory usage: 12 MB
% 1.14/0.52  % (3110139)Instructions burned: 2 (million)
% 1.14/0.52  % (3110139)------------------------------
% 1.14/0.52  % (3110139)------------------------------
% 1.14/0.52  % (3110135)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=99169551:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.14/0.52  % (3110136)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4159490226:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.14/0.52  % (3110135)Instruction limit reached! 
% 1.14/0.52  % (3110135)------------------------------
% 1.14/0.52  % (3110135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110135)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110135)Termination reason: Instruction limit
% 1.14/0.52  % (3110135)Termination phase: Saturation
% 1.14/0.52  % (3110135)Time elapsed: 0.008 s
% 1.14/0.52  % (3110135)Peak memory usage: 12 MB
% 1.14/0.52  % (3110135)Instructions burned: 8 (million)
% 1.14/0.52  % (3110150)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.14/0.52  % (3110150)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=69317607:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.14/0.52  % (3110143)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1396575912:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.14/0.52  % (3110136) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3110075-3110136"...
% 1.14/0.52  % (3110150)Instruction limit reached! 
% 1.14/0.52  % (3110150)------------------------------
% 1.14/0.52  % (3110150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110150)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110150)Termination reason: Instruction limit
% 1.14/0.52  % (3110150)Termination phase: Saturation
% 1.14/0.52  % (3110150)Time elapsed: 0.004 s
% 1.14/0.52  % (3110150)Peak memory usage: 12 MB
% 1.14/0.52  % (3110150)Instructions burned: 8 (million)
% 1.14/0.52  % (3110136)...printing done.
% 1.14/0.52  % (3110143)Refutation not found, incomplete strategy
% 1.14/0.52  % (3110143)------------------------------
% 1.14/0.52  % (3110143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.52  % (3110143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.52  % (3110143)CaDiCaL version: 2.1.3
% 1.14/0.52  % (3110143)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.52  % (3110143)Time elapsed: 0.005 s
% 1.14/0.52  % (3110146)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2291066495:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.14/0.52  % (3110143)Peak memory usage: 12 MB
% 1.14/0.52  % (3110143)Instructions burned: 4 (million)
% 1.14/0.52  % (3110145)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=922722987:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.14/0.52  % (3110136)Refutation found. Thanks to Tanya!
% 1.14/0.52  % SZS status Theorem for theBenchmark
% 1.14/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.14/0.53  % (3110136)------------------------------
% 1.14/0.53  % (3110136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.53  % (3110136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.53  % (3110136)CaDiCaL version: 2.1.3
% 1.14/0.53  % (3110136)Termination reason: Refutation
% 1.14/0.53  % (3110136)Time elapsed: 0.021 s
% 1.14/0.53  % (3110136)Peak memory usage: 13 MB
% 1.14/0.53  % (3110136)Instructions burned: 22 (million)
% 1.14/0.53  % (3110075)Success in time 0.193 s
% 1.14/0.53  % Vampire exiting
%------------------------------------------------------------------------------