TSTP Solution File: SYO236^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO236^5 : 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 : 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 09:03:36 EDT 2024

% Result   : Theorem 0.16s 0.40s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   56 (  30 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   87 (  19   ~;  18   |;   2   &;  38   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^  18   !;   0   ?;  19   :)
%                                         (   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,
    g: b > a ).

thf(func_def_3,type,
    f: b > a ).

thf(func_def_9,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(func_def_10,type,
    sK2: b ).

thf(f34,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f19,f33]) ).

thf(f33,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f32]) ).

thf(f32,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f21,f8]) ).

thf(f8,plain,
    f != g,
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ( ( ! [X0: b] :
          ( ( g @ X0 )
          = ( f @ X0 ) )
      | ! [X1: ( b > a ) > $o] :
          ( ( ( X1 @ f )
           != $true )
          | ( ( X1 @ g )
            = $true ) ) )
    & ( f != g ) ),
    inference(rectify,[],[f6]) ).

thf(f6,plain,
    ( ( ! [X1: b] :
          ( ( f @ X1 )
          = ( g @ X1 ) )
      | ! [X0: ( b > a ) > $o] :
          ( ( ( X0 @ f )
           != $true )
          | ( ( X0 @ g )
            = $true ) ) )
    & ( f != g ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ( ! [X0: ( b > a ) > $o] :
            ( ( ( X0 @ f )
              = $true )
           => ( ( X0 @ g )
              = $true ) )
        | ! [X1: b] :
            ( ( f @ X1 )
            = ( g @ X1 ) ) )
     => ( f = g ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ( ! [X0: ( b > a ) > $o] :
            ( ( X0 @ f )
           => ( X0 @ g ) )
        | ! [X1: b] :
            ( ( f @ X1 )
            = ( g @ X1 ) ) )
     => ( f = g ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X0: ( b > a ) > $o] :
            ( ( X0 @ f )
           => ( X0 @ g ) )
        | ! [X1: b] :
            ( ( f @ X1 )
            = ( g @ X1 ) ) )
     => ( f = g ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X0: ( b > a ) > $o] :
          ( ( X0 @ f )
         => ( X0 @ g ) )
      | ! [X1: b] :
          ( ( f @ X1 )
          = ( g @ X1 ) ) )
   => ( f = g ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM504) ).

thf(f21,plain,
    ( ( f = g )
    | ~ spl0_1 ),
    inference(leibniz_equality_elimination,[],[f12]) ).

thf(f12,plain,
    ( ! [X1: ( b > a ) > $o] :
        ( ( ( X1 @ f )
         != $true )
        | ( ( X1 @ g )
          = $true ) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

thf(f11,plain,
    ( spl0_1
  <=> ! [X1: ( b > a ) > $o] :
        ( ( ( X1 @ f )
         != $true )
        | ( ( X1 @ g )
          = $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f19,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f18]) ).

thf(f18,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f17,f15]) ).

thf(f15,plain,
    ( ! [X0: b] :
        ( ( g @ X0 )
        = ( f @ X0 ) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

thf(f14,plain,
    ( spl0_2
  <=> ! [X0: b] :
        ( ( g @ X0 )
        = ( f @ X0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f17,plain,
    ( ( f @ sK2 )
   != ( g @ sK2 ) ),
    inference(negative_extensionality,[],[f8]) ).

thf(f16,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f14,f11]) ).

thf(f9,plain,
    ! [X0: b,X1: ( b > a ) > $o] :
      ( ( ( g @ X0 )
        = ( f @ X0 ) )
      | ( ( X1 @ f )
       != $true )
      | ( ( X1 @ g )
        = $true ) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYO236^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.16  % 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
% 0.16/0.37  % Computer : n028.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 08:57:37 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a TH0_THM_EQU_NAR problem
% 0.16/0.38  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
% 0.16/0.40  % (12634)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)
% 0.16/0.40  % (12634)Refutation not found, incomplete strategy
% 0.16/0.40  % (12634)------------------------------
% 0.16/0.40  % (12634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (12634)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.40  
% 0.16/0.40  
% 0.16/0.40  % (12634)Memory used [KB]: 5500
% 0.16/0.40  % (12634)Time elapsed: 0.004 s
% 0.16/0.40  % (12634)Instructions burned: 2 (million)
% 0.16/0.40  % (12634)------------------------------
% 0.16/0.40  % (12634)------------------------------
% 0.16/0.40  % (12639)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)
% 0.16/0.40  % (12639)First to succeed.
% 0.16/0.40  % (12639)Refutation found. Thanks to Tanya!
% 0.16/0.40  % SZS status Theorem for theBenchmark
% 0.16/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40  % (12639)------------------------------
% 0.16/0.40  % (12639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40  % (12639)Termination reason: Refutation
% 0.16/0.40  
% 0.16/0.40  % (12639)Memory used [KB]: 5500
% 0.16/0.40  % (12639)Time elapsed: 0.003 s
% 0.16/0.40  % (12639)Instructions burned: 2 (million)
% 0.16/0.40  % (12639)------------------------------
% 0.16/0.40  % (12639)------------------------------
% 0.16/0.40  % (12631)Success in time 0.021 s
% 0.16/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------