TSTP Solution File: SEU888^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU888^5 : 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 : n032.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 03:52:04 EDT 2024

% Result   : Theorem 0.14s 0.32s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   4 unt;   8 typ;   0 def)
%            Number of atoms       :   25 (  24 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   41 (  10   ~;   9   |;   4   &;  16   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^   3   !;   2   ?;   5   :)

% 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,
    g: b > a ).

thf(func_def_3,type,
    z: a ).

thf(func_def_4,type,
    y: b ).

thf(func_def_5,type,
    x: b ).

thf(f11,plain,
    $false,
    inference(subsumption_resolution,[],[f10,f8]) ).

thf(f8,plain,
    ( z
   != ( g @ x ) ),
    inference(equality_resolution,[],[f6]) ).

thf(f6,plain,
    ! [X0: b] :
      ( ( x != X0 )
      | ( z
       != ( g @ X0 ) ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f4,plain,
    ( ( ( z
        = ( g @ y ) )
      | ( z
        = ( g @ x ) ) )
    & ! [X0: b] :
        ( ( ( x != X0 )
          & ( y != X0 ) )
        | ( z
         != ( g @ X0 ) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ( z
          = ( g @ y ) )
        | ( z
          = ( g @ x ) ) )
     => ? [X0: b] :
          ( ( ( y = X0 )
            | ( x = X0 ) )
          & ( z
            = ( g @ X0 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ( z
        = ( g @ y ) )
      | ( z
        = ( g @ x ) ) )
   => ? [X0: b] :
        ( ( ( y = X0 )
          | ( x = X0 ) )
        & ( z
          = ( g @ X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM500C_WFF_pme) ).

thf(f10,plain,
    ( z
    = ( g @ x ) ),
    inference(subsumption_resolution,[],[f7,f9]) ).

thf(f9,plain,
    ( z
   != ( g @ y ) ),
    inference(equality_resolution,[],[f5]) ).

thf(f5,plain,
    ! [X0: b] :
      ( ( y != X0 )
      | ( z
       != ( g @ X0 ) ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f7,plain,
    ( ( z
      = ( g @ y ) )
    | ( z
      = ( g @ x ) ) ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SEU888^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.10  % 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
% 0.09/0.30  % Computer : n032.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sun May 19 17:21:52 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a TH0_THM_EQU_NAR problem
% 0.09/0.30  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
% 0.14/0.31  % (14767)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)
% 0.14/0.32  % (14770)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)
% 0.14/0.32  % (14771)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.32  % (14773)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)
% 0.14/0.32  % (14768)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.32  % (14770)First to succeed.
% 0.14/0.32  % (14771)Also succeeded, but the first one will report.
% 0.14/0.32  % (14773)Also succeeded, but the first one will report.
% 0.14/0.32  % (14770)Refutation found. Thanks to Tanya!
% 0.14/0.32  % SZS status Theorem for theBenchmark
% 0.14/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.32  % (14770)------------------------------
% 0.14/0.32  % (14770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (14770)Termination reason: Refutation
% 0.14/0.32  
% 0.14/0.32  % (14770)Memory used [KB]: 5373
% 0.14/0.32  % (14770)Time elapsed: 0.003 s
% 0.14/0.32  % (14770)Instructions burned: 1 (million)
% 0.14/0.32  % (14770)------------------------------
% 0.14/0.32  % (14770)------------------------------
% 0.14/0.32  % (14764)Success in time 0.015 s
% 0.14/0.32  % Vampire---4.8 exiting
%------------------------------------------------------------------------------