TSTP Solution File: SEV285^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV285^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 09:42:02 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   17 (   4 unt;   8 typ;   0 def)
%            Number of atoms       :   16 (  15 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (   7   ~;   0   |;   4   &;  16   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^  11   !;   4   ?;  16   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

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

thf(func_def_5,type,
    sK0: a > b ).

thf(func_def_6,type,
    sK1: a > b ).

thf(func_def_8,type,
    ph3: 
      !>[X0: $tType] : X0 ).

thf(func_def_9,type,
    sK4: a ).

thf(f10,plain,
    $false,
    inference(subsumption_resolution,[],[f9,f8]) ).

thf(f8,plain,
    ! [X2: a] :
      ( ( sK0 @ X2 )
      = ( sK1 @ X2 ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,plain,
    ( ! [X2: a] :
        ( ( sK0 @ X2 )
        = ( sK1 @ X2 ) )
    & ( sK0 != sK1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).

thf(f5,plain,
    ( ? [X0: a > b,X1: a > b] :
        ( ! [X2: a] :
            ( ( X0 @ X2 )
            = ( X1 @ X2 ) )
        & ( X0 != X1 ) )
   => ( ! [X2: a] :
          ( ( sK0 @ X2 )
          = ( sK1 @ X2 ) )
      & ( sK0 != sK1 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f4,plain,
    ? [X0: a > b,X1: a > b] :
      ( ! [X2: a] :
          ( ( X0 @ X2 )
          = ( X1 @ X2 ) )
      & ( X0 != X1 ) ),
    inference(ennf_transformation,[],[f2]) ).

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

thf(f1,conjecture,
    ! [X1: a > b,X0: a > b] :
      ( ! [X2: a] :
          ( ( X0 @ X2 )
          = ( X1 @ X2 ) )
     => ( X0 = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.stmVhNBofe/Vampire---4.8_26445',cEE_eq_) ).

thf(f9,plain,
    ( ( sK1 @ sK4 )
   != ( sK0 @ sK4 ) ),
    inference(negative_extensionality,[],[f7]) ).

thf(f7,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEV285^5 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n016.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 12:43:15 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/sandbox/tmp/tmp.stmVhNBofe/Vampire---4.8_26445
% 0.15/0.38  % (26704)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  % (26702)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  % (26703)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  % (26701)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  % (26700)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  % (26706)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  % (26705)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  % (26707)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  % (26705)First to succeed.
% 0.15/0.38  % (26704)Instruction limit reached!
% 0.15/0.38  % (26704)------------------------------
% 0.15/0.38  % (26704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (26704)Termination reason: Unknown
% 0.15/0.38  % (26704)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (26704)Memory used [KB]: 5500
% 0.15/0.38  % (26704)Time elapsed: 0.004 s
% 0.15/0.38  % (26704)Instructions burned: 2 (million)
% 0.15/0.38  % (26704)------------------------------
% 0.15/0.38  % (26704)------------------------------
% 0.15/0.38  % (26700)Also succeeded, but the first one will report.
% 0.15/0.38  % (26707)Also succeeded, but the first one will report.
% 0.15/0.38  % (26705)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  % (26705)------------------------------
% 0.15/0.38  % (26705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (26705)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (26705)Memory used [KB]: 5373
% 0.15/0.38  % (26705)Time elapsed: 0.004 s
% 0.15/0.38  % (26705)Instructions burned: 1 (million)
% 0.15/0.38  % (26705)------------------------------
% 0.15/0.38  % (26705)------------------------------
% 0.15/0.38  % (26698)Success in time 0.006 s
% 0.15/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------