TSTP Solution File: SEU833^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU833^5 : 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 : n015.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 03:51:52 EDT 2024

% Result   : Theorem 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :   34 (  10 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :   28 (   9   ~;   0   |;   9   &;   9   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   1 con; 0-2 aty)
%            Number of variables   :   26 (  20   ^   4   !;   2   ?;  26   :)

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

thf(func_def_0,type,
    a: $tType ).

thf(func_def_7,type,
    sK0: a > $o ).

thf(f11,plain,
    $false,
    inference(trivial_inequality_removal,[],[f10]) ).

thf(f10,plain,
    ( ( ^ [Y0: a] : $false )
   != ( ^ [Y0: a] : $false ) ),
    inference(boolean_simplification,[],[f9]) ).

thf(f9,plain,
    ( ( ^ [Y0: a] : $false )
   != ( ^ [Y0: a] :
          ( $false
          & ( sK0 @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ( ( ^ [Y0: a] : $false )
   != ( ^ [Y0: a] :
          ( $false
          & ( sK0 @ Y0 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).

thf(f7,plain,
    ( ? [X0: a > $o] :
        ( ( ^ [Y0: a] : $false )
       != ( ^ [Y0: a] :
              ( $false
              & ( X0 @ Y0 ) ) ) )
   => ( ( ^ [Y0: a] : $false )
     != ( ^ [Y0: a] :
            ( $false
            & ( sK0 @ Y0 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f6,plain,
    ? [X0: a > $o] :
      ( ( ^ [Y0: a] : $false )
     != ( ^ [Y0: a] :
            ( $false
            & ( X0 @ Y0 ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a > $o] :
        ( ( ^ [Y0: a] : $false )
        = ( ^ [Y0: a] :
              ( $false
              & ( X0 @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

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

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

thf(f1,conjecture,
    ! [X0: a > $o] :
      ( ( ^ [X1: a] :
            ( ( X0 @ X1 )
            & $false ) )
      = ( ^ [X1: a] : $false ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM24_pme) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SEU833^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12  % 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
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun May 19 16:09:53 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a TH0_THM_EQU_NAR problem
% 0.11/0.33  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
% 0.11/0.34  % (29653)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.34  % (29654)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.11/0.34  % (29649)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.11/0.34  % (29656)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)
% 0.11/0.34  % (29650)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.11/0.34  % (29655)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.11/0.34  % (29652)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.11/0.34  % (29651)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.11/0.35  % (29655)First to succeed.
% 0.11/0.35  % (29650)Also succeeded, but the first one will report.
% 0.11/0.35  % (29656)Also succeeded, but the first one will report.
% 0.11/0.35  % (29655)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Theorem for theBenchmark
% 0.11/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35  % (29655)------------------------------
% 0.11/0.35  % (29655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35  % (29655)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (29655)Memory used [KB]: 5373
% 0.11/0.35  % (29655)Time elapsed: 0.003 s
% 0.11/0.35  % (29655)Instructions burned: 1 (million)
% 0.11/0.35  % (29655)------------------------------
% 0.11/0.35  % (29655)------------------------------
% 0.11/0.35  % (29648)Success in time 0.005 s
% 0.11/0.35  % Vampire---4.8 exiting
%------------------------------------------------------------------------------