TSTP Solution File: SEV161^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV161^5 : TPTP v8.1.2. 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/sandbox2/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 : Sun May  5 09:41:34 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   6 unt;   5 typ;   0 def)
%            Number of atoms       :   14 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   53 (   9   ~;   0   |;   0   &;  40   @)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^  12   !;   9   ?;  21   :)

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

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

thf(func_def_4,type,
    sK0: a ).

thf(func_def_5,type,
    sK1: a > a > $o ).

thf(func_def_6,type,
    sK2: a ).

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

thf(f10,plain,
    ( ( sK1 @ sK2 @ sK0 )
   != ( sK1 @ sK2 @ sK0 ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f9,plain,
    ( ( sK1 @ sK2 @ sK0 )
   != ( sK1 @ sK2 @ sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f8]) ).

thf(f8,plain,
    ( ? [X0: a,X1: a > a > $o,X2: a] :
        ( ( X1 @ X2 @ X0 )
       != ( X1 @ X2 @ X0 ) )
   => ( ( sK1 @ sK2 @ sK0 )
     != ( sK1 @ sK2 @ sK0 ) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

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

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

thf(f1,conjecture,
    ! [X0: a > a > $o,X2: a,X1: a] :
      ( ( X0 @ X1 @ X2 )
    <=> ( X0 @ X1 @ X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0BJV0KwnHC/Vampire---4.8_12406',cTHM183_pme) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SEV161^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 12:17:21 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36  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/sandbox2/tmp/tmp.0BJV0KwnHC/Vampire---4.8_12406
% 0.15/0.38  % (12684)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 Vampire---4 for (3000ds/27Mi)
% 0.15/0.38  % (12681)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.15/0.38  % (12682)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 Vampire---4 for (3000ds/4Mi)
% 0.15/0.38  % (12686)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.38  % (12685)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.38  % (12687)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.15/0.38  % (12688)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.15/0.38  % (12681)First to succeed.
% 0.15/0.38  % (12689)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.15/0.38  % (12685)Also succeeded, but the first one will report.
% 0.15/0.38  % (12686)Also succeeded, but the first one will report.
% 0.15/0.38  % (12681)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for Vampire---4
% 0.15/0.38  % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.38  % (12681)------------------------------
% 0.15/0.38  % (12681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (12681)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (12681)Memory used [KB]: 5373
% 0.15/0.38  % (12681)Time elapsed: 0.004 s
% 0.15/0.38  % (12681)Instructions burned: 1 (million)
% 0.15/0.38  % (12681)------------------------------
% 0.15/0.38  % (12681)------------------------------
% 0.15/0.38  % (12678)Success in time 0.011 s
% 0.15/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------