TSTP Solution File: SYO360^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO360^5 : 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 : n009.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 09:04:08 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   23 (  22 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   77 (   9   ~;   0   |;   8   &;  58   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^  18   !;   0   ?;  19   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_1,type,
    j: a > a ).

thf(func_def_2,type,
    g: ( a > a ) > a > a ).

thf(func_def_3,type,
    h: a > a ).

thf(func_def_4,type,
    f: ( a > a ) > a > a ).

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

thf(func_def_10,type,
    sK2: a ).

thf(func_def_11,type,
    sK3: a ).

thf(f14,plain,
    $false,
    inference(subsumption_resolution,[],[f13,f9]) ).

thf(f9,plain,
    ! [X0: a] :
      ( ( j @ X0 )
      = ( h @ X0 ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,plain,
    ( ! [X0: a] :
        ( ( j @ X0 )
        = ( h @ X0 ) )
    & ! [X1: a,X2: a > a] :
        ( ( f @ X2 @ X1 )
        = ( g @ X2 @ X1 ) )
    & ( ( f @ h )
     != ( g @ j ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,plain,
    ( ! [X2: a] :
        ( ( h @ X2 )
        = ( j @ X2 ) )
    & ! [X1: a,X0: a > a] :
        ( ( f @ X0 @ X1 )
        = ( g @ X0 @ X1 ) )
    & ( ( f @ h )
     != ( g @ j ) ) ),
    inference(flattening,[],[f4]) ).

thf(f4,plain,
    ( ( ( f @ h )
     != ( g @ j ) )
    & ! [X2: a] :
        ( ( h @ X2 )
        = ( j @ X2 ) )
    & ! [X1: a,X0: a > a] :
        ( ( f @ X0 @ X1 )
        = ( g @ X0 @ X1 ) ) ),
    inference(ennf_transformation,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ! [X2: a] :
            ( ( h @ X2 )
            = ( j @ X2 ) )
        & ! [X1: a,X0: a > a] :
            ( ( f @ X0 @ X1 )
            = ( g @ X0 @ X1 ) ) )
     => ( ( f @ h )
        = ( g @ j ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ( ! [X2: a] :
          ( ( h @ X2 )
          = ( j @ X2 ) )
      & ! [X1: a,X0: a > a] :
          ( ( f @ X0 @ X1 )
          = ( g @ X0 @ X1 ) ) )
   => ( ( f @ h )
      = ( g @ j ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEDEC1) ).

thf(f13,plain,
    ( ( j @ sK3 )
   != ( h @ sK3 ) ),
    inference(negative_extensionality,[],[f12]) ).

thf(f12,plain,
    h != j,
    inference(equality_resolution,[],[f11]) ).

thf(f11,plain,
    ( ( g @ h @ sK2 )
   != ( g @ j @ sK2 ) ),
    inference(superposition,[],[f10,f8]) ).

thf(f8,plain,
    ! [X2: a > a,X1: a] :
      ( ( f @ X2 @ X1 )
      = ( g @ X2 @ X1 ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f10,plain,
    ( ( f @ h @ sK2 )
   != ( g @ j @ sK2 ) ),
    inference(negative_extensionality,[],[f7]) ).

thf(f7,plain,
    ( ( f @ h )
   != ( g @ j ) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO360^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14  % 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
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 10:12:37 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  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
% 0.13/0.37  % (31324)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.37  % (31325)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)
% 0.13/0.37  % (31326)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)
% 0.13/0.37  % (31327)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (31329)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)
% 0.13/0.37  % (31330)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37  % (31329)Refutation not found, incomplete strategy
% 0.13/0.37  % (31329)------------------------------
% 0.13/0.37  % (31329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (31329)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  % (31325)Refutation not found, incomplete strategy
% 0.13/0.37  % (31325)------------------------------
% 0.13/0.37  % (31325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (31325)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (31325)Memory used [KB]: 5500
% 0.13/0.37  % (31325)Time elapsed: 0.004 s
% 0.13/0.37  % (31325)Instructions burned: 2 (million)
% 0.13/0.37  % (31324)First to succeed.
% 0.13/0.37  % (31325)------------------------------
% 0.13/0.37  % (31325)------------------------------
% 0.13/0.37  % (31327)Refutation not found, incomplete strategy
% 0.13/0.37  % (31327)------------------------------
% 0.13/0.37  % (31327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (31327)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (31327)Memory used [KB]: 5500
% 0.13/0.37  % (31327)Time elapsed: 0.003 s
% 0.13/0.37  % (31327)Instructions burned: 1 (million)
% 0.13/0.37  % (31327)------------------------------
% 0.13/0.37  % (31327)------------------------------
% 0.13/0.37  
% 0.13/0.37  % (31329)Memory used [KB]: 5500
% 0.13/0.37  % (31326)Refutation not found, incomplete strategy
% 0.13/0.37  % (31326)------------------------------
% 0.13/0.37  % (31326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (31329)Time elapsed: 0.003 s
% 0.13/0.37  % (31326)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (31326)Memory used [KB]: 5500
% 0.13/0.37  % (31326)Time elapsed: 0.004 s
% 0.13/0.37  % (31326)Instructions burned: 2 (million)
% 0.13/0.37  % (31326)------------------------------
% 0.13/0.37  % (31326)------------------------------
% 0.13/0.37  % (31329)Instructions burned: 1 (million)
% 0.13/0.37  % (31329)------------------------------
% 0.13/0.37  % (31329)------------------------------
% 0.13/0.37  % (31324)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38  % (31324)------------------------------
% 0.13/0.38  % (31324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (31324)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (31324)Memory used [KB]: 5500
% 0.13/0.38  % (31324)Time elapsed: 0.004 s
% 0.13/0.38  % (31324)Instructions burned: 2 (million)
% 0.13/0.38  % (31324)------------------------------
% 0.13/0.38  % (31324)------------------------------
% 0.13/0.38  % (31323)Success in time 0.005 s
% 0.13/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------