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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU896^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 08:34:22 AM UTC 2026

% Result   : Theorem 0.09s 0.25s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   80 (  11 unt;   0 typ;   7 def)
%            Number of atoms       :  355 ( 226 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :  404 (  84   ~; 146   |;  22   &; 137   @)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  20 usr;  14 con; 0-4 aty)
%                                         (   0  !!;   8  ??;   0 @@+;   0 @@-)
%            Number of variables   :   56 (   0 sgn  21   !;   2   ?;  56   :)

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

thf(type_def_6,type,
    a: $tType ).

thf(type_def_7,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    y: b ).

thf(func_def_1,type,
    g: b > a ).

thf(func_def_2,type,
    x: b ).

thf(func_def_4,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_5,type,
    vAND: $o > $o > $o ).

thf(func_def_6,type,
    vOR: $o > $o > $o ).

thf(func_def_7,type,
    db0: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_9,type,
    db1: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_13,type,
    sK0: a ).

thf(func_def_14,type,
    sK1: b ).

thf(f1,conjecture,
    ( ( ^ [X0: a] :
        ? [X1: b] :
          ( ( X0
            = ( g @ X1 ) )
          & ( ( X1 = y )
            | ( X1 = x ) ) ) )
    = ( ^ [X2: a] :
          ( ( X2
            = ( g @ y ) )
          | ( X2
            = ( g @ x ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM500_pme) ).

thf(f2,negated_conjecture,
    ( ( ^ [X0: a] :
        ? [X1: b] :
          ( ( X0
            = ( g @ X1 ) )
          & ( ( X1 = y )
            | ( X1 = x ) ) ) )
   != ( ^ [X2: a] :
          ( ( X2
            = ( g @ y ) )
          | ( X2
            = ( g @ x ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f3,plain,
    ( ( ^ [Y0: a] :
          ( ?? @ b
          @ ^ [Y1: b] :
              ( ( ( x = Y1 )
                | ( y = Y1 ) )
              & ( ( g @ Y1 )
                = Y0 ) ) ) )
   != ( ^ [Y0: a] :
          ( ( ( g @ x )
            = Y0 )
          | ( ( g @ y )
            = Y0 ) ) ) ),
    inference(fool_elimination,[],[f2]) ).

thf(f4,plain,
    ( ( ^ [Y0: a] :
          ( ?? @ b
          @ ^ [Y1: b] :
              ( ( ( x = Y1 )
                | ( y = Y1 ) )
              & ( ( g @ Y1 )
                = Y0 ) ) ) )
   != ( ^ [Y0: a] :
          ( ( ( g @ x )
            = Y0 )
          | ( ( g @ y )
            = Y0 ) ) ) ),
    inference(flattening,[],[f3]) ).

thf(f5,plain,
    ( ( ^ [Y0: a] :
          ( ?? @ b
          @ ^ [Y1: b] :
              ( ( ( x = Y1 )
                | ( y = Y1 ) )
              & ( ( g @ Y1 )
                = Y0 ) ) ) )
   != ( ^ [Y0: a] :
          ( ( ( g @ x )
            = Y0 )
          | ( ( g @ y )
            = Y0 ) ) ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f15,plain,
    ( ( ^ [Y0: a] :
          ( ?? @ b
          @ ^ [Y1: b] :
              ( ( ( x = Y1 )
                | ( y = Y1 ) )
              & ( ( g @ Y1 )
                = Y0 ) ) )
      @ sK0 )
   != ( ^ [Y0: a] :
          ( ( ( g @ x )
            = Y0 )
          | ( ( g @ y )
            = Y0 ) )
      @ sK0 ) ),
    inference(negative_extensionality,[],[f5]) ).

thf(f16,plain,
    ( ( $true
      = ( ^ [Y0: a] :
            ( ?? @ b
            @ ^ [Y1: b] :
                ( ( ( x = Y1 )
                  | ( y = Y1 ) )
                & ( ( g @ Y1 )
                  = Y0 ) ) )
        @ sK0 ) )
    | ( $true
      = ( ^ [Y0: a] :
            ( ( ( g @ x )
              = Y0 )
            | ( ( g @ y )
              = Y0 ) )
        @ sK0 ) ) ),
    inference(xor_proxy_clausification,[],[f15]) ).

thf(f17,plain,
    ( ( $false
      = ( ^ [Y0: a] :
            ( ?? @ b
            @ ^ [Y1: b] :
                ( ( ( x = Y1 )
                  | ( y = Y1 ) )
                & ( ( g @ Y1 )
                  = Y0 ) ) )
        @ sK0 ) )
    | ( $false
      = ( ^ [Y0: a] :
            ( ( ( g @ x )
              = Y0 )
            | ( ( g @ y )
              = Y0 ) )
        @ sK0 ) ) ),
    inference(xor_proxy_clausification,[],[f15]) ).

thf(f18,plain,
    ( ( $false
      = ( ?? @ b
        @ ^ [Y0: b] :
            ( ( ( x = Y0 )
              | ( y = Y0 ) )
            & ( ( g @ Y0 )
              = sK0 ) ) ) )
    | ( $false
      = ( ( ( g @ x )
          = sK0 )
        | ( ( g @ y )
          = sK0 ) ) ) ),
    inference(beta-eta_normalization,[],[f17]) ).

thf(f19,plain,
    ! [X1: b] :
      ( ( $false
        = ( ^ [Y0: b] :
              ( ( ( x = Y0 )
                | ( y = Y0 ) )
              & ( ( g @ Y0 )
                = sK0 ) )
          @ X1 ) )
      | ( $false
        = ( ( ( g @ x )
            = sK0 )
          | ( ( g @ y )
            = sK0 ) ) ) ),
    inference(pi_proxy_clausification,[],[f18]) ).

thf(f20,plain,
    ! [X1: b] :
      ( ( $false
        = ( ^ [Y0: b] :
              ( ( ( x = Y0 )
                | ( y = Y0 ) )
              & ( ( g @ Y0 )
                = sK0 ) )
          @ X1 ) )
      | ( $false
        = ( ( g @ y )
          = sK0 ) ) ),
    inference(or_proxy_clausification,[],[f19]) ).

thf(f21,plain,
    ! [X1: b] :
      ( ( $false
        = ( ^ [Y0: b] :
              ( ( ( x = Y0 )
                | ( y = Y0 ) )
              & ( ( g @ Y0 )
                = sK0 ) )
          @ X1 ) )
      | ( $false
        = ( ( g @ x )
          = sK0 ) ) ),
    inference(or_proxy_clausification,[],[f19]) ).

thf(f22,plain,
    ! [X1: b] :
      ( ( $false
        = ( ^ [Y0: b] :
              ( ( ( x = Y0 )
                | ( y = Y0 ) )
              & ( ( g @ Y0 )
                = sK0 ) )
          @ X1 ) )
      | ( ( g @ x )
       != sK0 ) ),
    inference(equality_proxy_clausification,[],[f21]) ).

thf(f23,plain,
    ! [X1: b] :
      ( ( $false
        = ( ( ( x = X1 )
            | ( y = X1 ) )
          & ( ( g @ X1 )
            = sK0 ) ) )
      | ( ( g @ x )
       != sK0 ) ),
    inference(beta-eta_normalization,[],[f22]) ).

thf(f24,plain,
    ! [X1: b] :
      ( ( $false
        = ( ( g @ X1 )
          = sK0 ) )
      | ( ( g @ x )
       != sK0 )
      | ( $false
        = ( ( x = X1 )
          | ( y = X1 ) ) ) ),
    inference(and_proxy_clausification,[],[f23]) ).

thf(f25,plain,
    ! [X1: b] :
      ( ( ( g @ X1 )
       != sK0 )
      | ( ( g @ x )
       != sK0 )
      | ( $false
        = ( ( x = X1 )
          | ( y = X1 ) ) ) ),
    inference(equality_proxy_clausification,[],[f24]) ).

thf(f27,plain,
    ! [X1: b] :
      ( ( ( g @ X1 )
       != sK0 )
      | ( ( g @ x )
       != sK0 )
      | ( $false
        = ( x = X1 ) ) ),
    inference(or_proxy_clausification,[],[f25]) ).

thf(f28,plain,
    ! [X1: b] :
      ( ( ( g @ X1 )
       != sK0 )
      | ( ( g @ x )
       != sK0 )
      | ( x != X1 ) ),
    inference(equality_proxy_clausification,[],[f27]) ).

thf(f30,plain,
    ! [X1: b] :
      ( ( $false
        = ( ^ [Y0: b] :
              ( ( ( x = Y0 )
                | ( y = Y0 ) )
              & ( ( g @ Y0 )
                = sK0 ) )
          @ X1 ) )
      | ( ( g @ y )
       != sK0 ) ),
    inference(equality_proxy_clausification,[],[f20]) ).

thf(f31,plain,
    ! [X1: b] :
      ( ( $false
        = ( ( ( x = X1 )
            | ( y = X1 ) )
          & ( ( g @ X1 )
            = sK0 ) ) )
      | ( ( g @ y )
       != sK0 ) ),
    inference(beta-eta_normalization,[],[f30]) ).

thf(f32,plain,
    ! [X1: b] :
      ( ( $false
        = ( ( g @ X1 )
          = sK0 ) )
      | ( ( g @ y )
       != sK0 )
      | ( $false
        = ( ( x = X1 )
          | ( y = X1 ) ) ) ),
    inference(and_proxy_clausification,[],[f31]) ).

thf(f33,plain,
    ! [X1: b] :
      ( ( ( g @ X1 )
       != sK0 )
      | ( ( g @ y )
       != sK0 )
      | ( $false
        = ( ( x = X1 )
          | ( y = X1 ) ) ) ),
    inference(equality_proxy_clausification,[],[f32]) ).

thf(f34,plain,
    ! [X1: b] :
      ( ( ( g @ X1 )
       != sK0 )
      | ( ( g @ y )
       != sK0 )
      | ( $false
        = ( y = X1 ) ) ),
    inference(or_proxy_clausification,[],[f33]) ).

thf(f37,plain,
    ! [X1: b] :
      ( ( ( g @ X1 )
       != sK0 )
      | ( ( g @ y )
       != sK0 )
      | ( y != X1 ) ),
    inference(equality_proxy_clausification,[],[f34]) ).

thf(f38,plain,
    ( ( $true
      = ( ?? @ b
        @ ^ [Y0: b] :
            ( ( ( x = Y0 )
              | ( y = Y0 ) )
            & ( ( g @ Y0 )
              = sK0 ) ) ) )
    | ( $true
      = ( ( ( g @ x )
          = sK0 )
        | ( ( g @ y )
          = sK0 ) ) ) ),
    inference(beta-eta_normalization,[],[f16]) ).

thf(f39,plain,
    ( ( $true
      = ( ^ [Y0: b] :
            ( ( ( x = Y0 )
              | ( y = Y0 ) )
            & ( ( g @ Y0 )
              = sK0 ) )
        @ sK1 ) )
    | ( $true
      = ( ( ( g @ x )
          = sK0 )
        | ( ( g @ y )
          = sK0 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f38]) ).

thf(f40,plain,
    ( ( $true
      = ( ^ [Y0: b] :
            ( ( ( x = Y0 )
              | ( y = Y0 ) )
            & ( ( g @ Y0 )
              = sK0 ) )
        @ sK1 ) )
    | ( $true
      = ( ( g @ y )
        = sK0 ) )
    | ( $true
      = ( ( g @ x )
        = sK0 ) ) ),
    inference(or_proxy_clausification,[],[f39]) ).

thf(f41,plain,
    ( ( $true
      = ( ^ [Y0: b] :
            ( ( ( x = Y0 )
              | ( y = Y0 ) )
            & ( ( g @ Y0 )
              = sK0 ) )
        @ sK1 ) )
    | ( ( g @ y )
      = sK0 )
    | ( $true
      = ( ( g @ x )
        = sK0 ) ) ),
    inference(equality_proxy_clausification,[],[f40]) ).

thf(f42,plain,
    ( ( $true
      = ( ^ [Y0: b] :
            ( ( ( x = Y0 )
              | ( y = Y0 ) )
            & ( ( g @ Y0 )
              = sK0 ) )
        @ sK1 ) )
    | ( ( g @ y )
      = sK0 )
    | ( ( g @ x )
      = sK0 ) ),
    inference(equality_proxy_clausification,[],[f41]) ).

thf(f43,plain,
    ( ( $true
      = ( ( ( x = sK1 )
          | ( y = sK1 ) )
        & ( ( g @ sK1 )
          = sK0 ) ) )
    | ( ( g @ y )
      = sK0 )
    | ( ( g @ x )
      = sK0 ) ),
    inference(beta-eta_normalization,[],[f42]) ).

thf(f44,plain,
    ( ( $true
      = ( ( g @ sK1 )
        = sK0 ) )
    | ( ( g @ y )
      = sK0 )
    | ( ( g @ x )
      = sK0 ) ),
    inference(and_proxy_clausification,[],[f43]) ).

thf(f45,plain,
    ( ( $true
      = ( ( x = sK1 )
        | ( y = sK1 ) ) )
    | ( ( g @ y )
      = sK0 )
    | ( ( g @ x )
      = sK0 ) ),
    inference(and_proxy_clausification,[],[f43]) ).

thf(f46,plain,
    ( ( $true
      = ( y = sK1 ) )
    | ( ( g @ y )
      = sK0 )
    | ( ( g @ x )
      = sK0 )
    | ( $true
      = ( x = sK1 ) ) ),
    inference(or_proxy_clausification,[],[f45]) ).

thf(f47,plain,
    ( ( y = sK1 )
    | ( ( g @ y )
      = sK0 )
    | ( ( g @ x )
      = sK0 )
    | ( $true
      = ( x = sK1 ) ) ),
    inference(equality_proxy_clausification,[],[f46]) ).

thf(f48,plain,
    ( ( y = sK1 )
    | ( ( g @ y )
      = sK0 )
    | ( ( g @ x )
      = sK0 )
    | ( x = sK1 ) ),
    inference(equality_proxy_clausification,[],[f47]) ).

thf(f49,plain,
    ( ( sK0
      = ( g @ sK1 ) )
    | ( ( g @ y )
      = sK0 )
    | ( ( g @ x )
      = sK0 ) ),
    inference(equality_proxy_clausification,[],[f44]) ).

thf(f51,definition,
    ( spl2_1
  <=> ( ( g @ x )
      = sK0 ) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

thf(f52,plain,
    ( ( ( g @ x )
      = sK0 )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f51]) ).

thf(f55,definition,
    ( spl2_2
  <=> ! [X1: b] :
        ( ( ( g @ X1 )
         != sK0 )
        | ( x != X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

thf(f56,plain,
    ( ! [X1: b] :
        ( ( ( g @ X1 )
         != sK0 )
        | ( x != X1 ) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f55]) ).

thf(f57,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f28,f55,f51]) ).

thf(f59,definition,
    ( spl2_3
  <=> ! [X1: b] :
        ( ( ( g @ X1 )
         != sK0 )
        | ( y != X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).

thf(f60,plain,
    ( ! [X1: b] :
        ( ( ( g @ X1 )
         != sK0 )
        | ( y != X1 ) )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f59]) ).

thf(f63,definition,
    ( spl2_4
  <=> ( ( g @ y )
      = sK0 ) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

thf(f64,plain,
    ( ( ( g @ y )
      = sK0 )
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f63]) ).

thf(f67,plain,
    ( ~ spl2_4
    | spl2_3 ),
    inference(avatar_split_clause,[],[f37,f59,f63]) ).

thf(f69,definition,
    ( spl2_5
  <=> ( x = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

thf(f71,plain,
    ( ( x = sK1 )
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f69]) ).

thf(f73,definition,
    ( spl2_6
  <=> ( y = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

thf(f75,plain,
    ( ( y = sK1 )
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f73]) ).

thf(f76,plain,
    ( spl2_5
    | spl2_1
    | spl2_4
    | spl2_6 ),
    inference(avatar_split_clause,[],[f48,f73,f63,f51,f69]) ).

thf(f78,definition,
    ( spl2_7
  <=> ( sK0
      = ( g @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

thf(f80,plain,
    ( ( sK0
      = ( g @ sK1 ) )
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f78]) ).

thf(f81,plain,
    ( spl2_1
    | spl2_4
    | spl2_7 ),
    inference(avatar_split_clause,[],[f49,f78,f63,f51]) ).

thf(f84,plain,
    ( ! [X0: b] :
        ( ( ( g @ y )
         != ( g @ X0 ) )
        | ( y != X0 ) )
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(constrained_superposition,[],[f60,f64]) ).

thf(f86,plain,
    ( ( y != y )
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(equality_resolution,[],[f84]) ).

thf(f87,plain,
    ( $false
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(trivial_inequality_removal,[],[f86]) ).

thf(f88,plain,
    ( ~ spl2_3
    | ~ spl2_4 ),
    inference(avatar_contradiction_clause,[],[f87]) ).

thf(f90,plain,
    ( ( ( g @ y )
      = sK0 )
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(constrained_superposition,[],[f80,f75]) ).

thf(f96,plain,
    ( spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f90,f78,f73,f63]) ).

thf(f98,plain,
    ( ! [X0: b] :
        ( ( ( g @ x )
         != ( g @ X0 ) )
        | ( x != X0 ) )
    | ~ spl2_1
    | ~ spl2_2 ),
    inference(constrained_superposition,[],[f56,f52]) ).

thf(f103,plain,
    ( ( x != x )
    | ~ spl2_1
    | ~ spl2_2 ),
    inference(equality_resolution,[],[f98]) ).

thf(f104,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f103]) ).

thf(f105,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_contradiction_clause,[],[f104]) ).

thf(f108,plain,
    ( ( ( g @ x )
      = sK0 )
    | ~ spl2_5
    | ~ spl2_7 ),
    inference(constrained_superposition,[],[f80,f71]) ).

thf(f109,plain,
    ( spl2_1
    | ~ spl2_5
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f108,f78,f69,f51]) ).

cnf(s1,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(sat_conversion,[],[f57]) ).

cnf(s4,plain,
    ( spl2_3
    | ~ spl2_4 ),
    inference(sat_conversion,[],[f67]) ).

cnf(s5,plain,
    ( spl2_1
    | spl2_4
    | spl2_5
    | spl2_6 ),
    inference(sat_conversion,[],[f76]) ).

cnf(s6,plain,
    ( spl2_1
    | spl2_4
    | spl2_7 ),
    inference(sat_conversion,[],[f81]) ).

cnf(s7,plain,
    ( ~ spl2_3
    | ~ spl2_4 ),
    inference(sat_conversion,[],[f88]) ).

cnf(s9,plain,
    ( spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(sat_conversion,[],[f96]) ).

cnf(s10,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s12,plain,
    ( spl2_1
    | ~ spl2_5
    | ~ spl2_7 ),
    inference(sat_conversion,[],[f109]) ).

cnf(s13,plain,
    ( spl2_4
    | spl2_1 ),
    inference(rat,[],[s5,s12,s9,s6]) ).

cnf(s14,plain,
    ~ spl2_4,
    inference(rat,[],[s4,s7]) ).

cnf(s15,plain,
    spl2_1,
    inference(rat,[],[s13,s14]) ).

cnf(s16,plain,
    ~ spl2_2,
    inference(rat,[],[s10,s15]) ).

cnf(s18,plain,
    $false,
    inference(rat,[],[s1,s16,s15]) ).

thf(f110,plain,
    $false,
    inference(avatar_sat_refutation,[],[s18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU896^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n010.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 14:45:04 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.25  % (2956093)Will run a generic schedule for satisfiability detection.
% 0.09/0.25  % (2956104)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=587896778:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.09/0.25  % (2956104) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2956093-2956104"...
% 0.09/0.25  % (2956099)% WARNING: option uhcvi not known.
% 0.09/0.25  % (2956104)...printing done.
% 0.09/0.25  % (2956104)Refutation found. Thanks to Tanya!
% 0.09/0.25  % SZS status Theorem for theBenchmark
% 0.09/0.25  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25  % (2956104)------------------------------
% 0.09/0.25  % (2956104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25  % (2956104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25  % (2956104)CaDiCaL version: 2.1.3
% 0.09/0.25  % (2956104)Termination reason: Refutation
% 0.09/0.25  % (2956104)Time elapsed: 0.003 s
% 0.09/0.25  % (2956104)Peak memory usage: 13 MB
% 0.09/0.25  % (2956104)Instructions burned: 7 (million)
% 0.09/0.25  % (2956093)Success in time 0.019 s
% 0.09/0.25  % Vampire exiting
%------------------------------------------------------------------------------