%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEV012^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n022.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 : Mon Jun 24 16:01:25 EDT 2024

% Result   : Theorem 0.18s 0.37s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   42 (   7 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :   26 (   6   ~;   0   |;  12   &;   0   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (  28   ^  10   !;   0   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f9,plain,
    $false,
    inference(trivial_inequality_removal,[],[f8]) ).

thf(f8,plain,
    ( ( ^ [Y0: $o,Y1: $o] : $true )
   != ( ^ [Y0: $o,Y1: $o] : $true ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( ^ [Y0: $o,Y1: $o] : $true )
   != ( ^ [Y0: $o,Y1: $o] : $true ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ( ^ [Y0: $o,Y1: $o] : $true )
   != ( ^ [Y0: $o,Y1: $o] : $true ) ),
    inference(true_and_false_elimination,[],[f5]) ).

thf(f5,plain,
    ~ ( ( $true
       => $true )
      & ( ( ^ [Y0: $o,Y1: $o] : $true )
        = ( ^ [Y0: $o,Y1: $o] : $true ) )
      & ( ( $true
          & $true )
       => $true ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( $true
       => $true )
      & ( ( ^ [X2: $o,X3: $o] : $true )
        = ( ^ [X4: $o,X5: $o] : $true ) )
      & ( ( $true
          & $true )
       => $true ) ),
    inference(rectify,[],[f2]) ).

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

thf(f1,conjecture,
    ( ! [X0: $o,X1: $o] :
        ( $true
       => $true )
    & ( ( ^ [X0: $o,X1: $o] : $true )
      = ( ^ [X0: $o,X1: $o] : $true ) )
    & ! [X0: $o,X2: $o,X1: $o] :
        ( ( $true
          & $true )
       => $true ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM519_pme) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEV012^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri Jun 21 19:42:54 EDT 2024
% 0.18/0.33  % CPUTime    : 
% 0.18/0.35  This is a TH0_THM_EQU_NAR problem
% 0.18/0.35  Running higher-order theorem proving
% 0.18/0.35  Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.18/0.36  % (15538)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.36  % (15538)First to succeed.
% 0.18/0.37  % (15538)Refutation found. Thanks to Tanya!
% 0.18/0.37  % SZS status Theorem for theBenchmark
% 0.18/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.37  % (15538)------------------------------
% 0.18/0.37  % (15538)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.37  % (15538)Termination reason: Refutation
% 0.18/0.37  
% 0.18/0.37  % (15538)Memory used [KB]: 5373
% 0.18/0.37  % (15538)Time elapsed: 0.002 s
% 0.18/0.37  % (15538)------------------------------
% 0.18/0.37  % (15538)------------------------------
% 0.18/0.37  % (15534)Success in time 0.012 s
%------------------------------------------------------------------------------