TSTP Solution File: SET045^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET045^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 03:08:15 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :    8 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   6   ~;   0   |;   0   &;  10   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^   6   !;   4   ?;  11   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

thf(func_def_1,type,
    a: $tType ).

thf(func_def_2,type,
    cA: b ).

thf(func_def_6,type,
    sK0: ( a > b ) > a ).

thf(func_def_8,type,
    ph2: 
      !>[X0: $tType] : X0 ).

thf(f8,plain,
    $false,
    inference(equality_resolution,[],[f7]) ).

thf(f7,plain,
    ! [X0: a > b] :
      ( cA
     != ( X0 @ ( sK0 @ X0 ) ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,plain,
    ! [X0: a > b] :
      ( cA
     != ( X0 @ ( sK0 @ X0 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

thf(f5,plain,
    ! [X0: a > b] :
      ( ? [X1: a] :
          ( ( X0 @ X1 )
         != cA )
     => ( cA
       != ( X0 @ ( sK0 @ X0 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f4,plain,
    ! [X0: a > b] :
    ? [X1: a] :
      ( ( X0 @ X1 )
     != cA ),
    inference(ennf_transformation,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ? [X0: a > b] :
      ! [X1: a] :
        ( ( X0 @ X1 )
        = cA ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ? [X0: a > b] :
    ! [X1: a] :
      ( ( X0 @ X1 )
      = cA ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTTTP5243) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET045^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15  % 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 : n028.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   : Mon May 20 12:39:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_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/benchmark/theBenchmark.p
% 0.15/0.38  % (8653)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.38  % (8654)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)
% 0.15/0.38  % (8656)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.38  % (8657)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)
% 0.15/0.38  % (8659)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38  % (8655)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)
% 0.15/0.38  % (8653)First to succeed.
% 0.15/0.38  % (8656)Refutation not found, incomplete strategy
% 0.15/0.38  % (8656)------------------------------
% 0.15/0.38  % (8656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (8656)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38  
% 0.15/0.38  
% 0.15/0.38  % (8656)Memory used [KB]: 5373
% 0.15/0.38  % (8656)Time elapsed: 0.003 s
% 0.15/0.38  % (8656)Instructions burned: 1 (million)
% 0.15/0.38  % (8656)------------------------------
% 0.15/0.38  % (8656)------------------------------
% 0.15/0.38  % (8654)Also succeeded, but the first one will report.
% 0.15/0.38  % (8657)Refutation not found, incomplete strategy
% 0.15/0.38  % (8657)------------------------------
% 0.15/0.38  % (8657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (8657)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38  
% 0.15/0.38  
% 0.15/0.38  % (8657)Memory used [KB]: 5500
% 0.15/0.38  % (8657)Time elapsed: 0.003 s
% 0.15/0.38  % (8657)Instructions burned: 1 (million)
% 0.15/0.38  % (8657)------------------------------
% 0.15/0.38  % (8657)------------------------------
% 0.15/0.38  % (8655)Refutation not found, incomplete strategy
% 0.15/0.38  % (8655)------------------------------
% 0.15/0.38  % (8655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (8655)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38  
% 0.15/0.38  
% 0.15/0.38  % (8655)Memory used [KB]: 5373
% 0.15/0.38  % (8655)Time elapsed: 0.003 s
% 0.15/0.38  % (8655)Instructions burned: 1 (million)
% 0.15/0.38  % (8655)------------------------------
% 0.15/0.38  % (8655)------------------------------
% 0.15/0.38  % (8658)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)
% 0.15/0.38  % (8653)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (8653)------------------------------
% 0.15/0.38  % (8653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (8653)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (8653)Memory used [KB]: 5373
% 0.15/0.38  % (8653)Time elapsed: 0.004 s
% 0.15/0.38  % (8653)Instructions burned: 1 (million)
% 0.15/0.38  % (8653)------------------------------
% 0.15/0.38  % (8653)------------------------------
% 0.15/0.38  % (8650)Success in time 0.016 s
% 0.15/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------