%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO198^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 09:03:27 EDT 2024

% Result   : Theorem 0.16s 0.38s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   3 unt;   1 typ;   0 def)
%            Number of atoms       :   42 (  16 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   49 (  17   ~;   6   |;   4   &;  21   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (   1   ^  14   !;  10   ?;  26   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_7,type,
    ph3: 
      !>[X0: $tType] : X0 ).

thf(f17,plain,
    $false,
    inference(trivial_inequality_removal,[],[f16]) ).

thf(f16,plain,
    $true != $true,
    inference(beta_eta_normalization,[],[f15]) ).

thf(f15,plain,
    ( ( ^ [Y0: $o] : $true
      @ sK1 )
   != $true ),
    inference(equality_resolution,[],[f10]) ).

thf(f10,plain,
    ! [X2: $o > $o] :
      ( ( $true
       != ( X2 @ sK0 ) )
      | ( ( X2 @ sK1 )
       != $true ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f9,plain,
    ! [X2: $o > $o] :
      ( ( $true
       != ( X2 @ sK0 ) )
      | ( ( X2 @ sK1 )
       != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).

thf(f8,plain,
    ( ? [X0: $o,X1: $o] :
      ! [X2: $o > $o] :
        ( ( ( X2 @ X0 )
         != $true )
        | ( ( X2 @ X1 )
         != $true ) )
   => ! [X2: $o > $o] :
        ( ( $true
         != ( X2 @ sK0 ) )
        | ( ( X2 @ sK1 )
         != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f7,plain,
    ? [X0: $o,X1: $o] :
    ! [X2: $o > $o] :
      ( ( ( X2 @ X0 )
       != $true )
      | ( ( X2 @ X1 )
       != $true ) ),
    inference(rectify,[],[f6]) ).

thf(f6,plain,
    ? [X1: $o,X0: $o] :
    ! [X2: $o > $o] :
      ( ( ( X2 @ X1 )
       != $true )
      | ( ( X2 @ X0 )
       != $true ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: $o,X1: $o] :
      ? [X2: $o > $o] :
        ( ( ( X2 @ X1 )
          = $true )
        & ( ( X2 @ X0 )
          = $true ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: $o,X1: $o] :
      ? [X2: $o > $o] :
        ( ( X2 @ X0 )
        & ( X2 @ X1 ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X1: $o,X0: $o] :
      ? [X2: $o > $o] :
        ( ( X2 @ X1 )
        & ( X2 @ X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X1: $o,X0: $o] :
    ? [X2: $o > $o] :
      ( ( X2 @ X1 )
      & ( X2 @ X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SYO198^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n007.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 08:47:38 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a TH0_THM_NEQ_NAR problem
% 0.16/0.37  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.38  % (18306)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.16/0.38  % (18306)First to succeed.
% 0.16/0.38  % (18306)Refutation found. Thanks to Tanya!
% 0.16/0.38  % SZS status Theorem for theBenchmark
% 0.16/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.38  % (18306)------------------------------
% 0.16/0.38  % (18306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38  % (18306)Termination reason: Refutation
% 0.16/0.38  
% 0.16/0.38  % (18306)Memory used [KB]: 5500
% 0.16/0.38  % (18306)Time elapsed: 0.002 s
% 0.16/0.38  % (18306)Instructions burned: 1 (million)
% 0.16/0.38  % (18306)------------------------------
% 0.16/0.38  % (18306)------------------------------
% 0.16/0.38  % (18298)Success in time 0.002 s
% 0.16/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------