TSTP Solution File: LCL459+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL459+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R2nQsuNLOx true

% Computer : n012.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 : Thu Aug 31 08:59:49 EDT 2023

% Result   : Theorem 1.26s 0.80s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   32 (  14 unt;   8 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  118 (  12   ~;   9   |;   1   &;  91   @)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(and_type,type,
    and: $i > $i > $i ).

thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(sk__32_type,type,
    sk__32: $i ).

thf(kn1_type,type,
    kn1: $o ).

thf(and_3_type,type,
    and_3: $o ).

thf(modus_ponens_type,type,
    modus_ponens: $o ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(implies_2_type,type,
    implies_2: $o ).

thf(kn1,axiom,
    ( kn1
  <=> ! [P: $i] : ( is_a_theorem @ ( implies @ P @ ( and @ P @ P ) ) ) ) ).

thf(zip_derived_cl34,plain,
    ( kn1
    | ~ ( is_a_theorem @ ( implies @ sk__32 @ ( and @ sk__32 @ sk__32 ) ) ) ),
    inference(cnf,[status(esa)],[kn1]) ).

thf(rosser_kn1,conjecture,
    kn1 ).

thf(zf_stmt_0,negated_conjecture,
    ~ kn1,
    inference('cnf.neg',[status(esa)],[rosser_kn1]) ).

thf(zip_derived_cl81,plain,
    ~ kn1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl381,plain,
    ~ ( is_a_theorem @ ( implies @ sk__32 @ ( and @ sk__32 @ sk__32 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl81]) ).

thf(hilbert_and_3,axiom,
    and_3 ).

thf(zip_derived_cl70,plain,
    and_3,
    inference(cnf,[status(esa)],[hilbert_and_3]) ).

thf(and_3,axiom,
    ( and_3
  <=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ ( and @ X @ Y ) ) ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ ( and @ X0 @ X1 ) ) ) )
      | ~ and_3 ),
    inference(cnf,[status(esa)],[and_3]) ).

thf(zip_derived_cl372,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl19]) ).

thf(hilbert_implies_2,axiom,
    implies_2 ).

thf(zip_derived_cl66,plain,
    implies_2,
    inference(cnf,[status(esa)],[hilbert_implies_2]) ).

thf(implies_2,axiom,
    ( implies_2
  <=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ ( implies @ X @ Y ) ) @ ( implies @ X @ Y ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ ( implies @ X0 @ ( implies @ X0 @ X1 ) ) @ ( implies @ X0 @ X1 ) ) )
      | ~ implies_2 ),
    inference(cnf,[status(esa)],[implies_2]) ).

thf(zip_derived_cl369,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl11]) ).

thf(hilbert_modus_ponens,axiom,
    modus_ponens ).

thf(zip_derived_cl63,plain,
    modus_ponens,
    inference(cnf,[status(esa)],[hilbert_modus_ponens]) ).

thf(modus_ponens,axiom,
    ( modus_ponens
  <=> ! [X: $i,Y: $i] :
        ( ( ( is_a_theorem @ X )
          & ( is_a_theorem @ ( implies @ X @ Y ) ) )
       => ( is_a_theorem @ Y ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ X1 )
      | ~ modus_ponens ),
    inference(cnf,[status(esa)],[modus_ponens]) ).

thf(zip_derived_cl383,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl474,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ X1 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl383]) ).

thf(zip_derived_cl485,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ ( and @ X0 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl474]) ).

thf(zip_derived_cl508,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl485]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL459+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R2nQsuNLOx true
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 17:44:56 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.26/0.80  % Solved by fo/fo6_bce.sh.
% 1.26/0.80  % BCE start: 82
% 1.26/0.80  % BCE eliminated: 2
% 1.26/0.80  % PE start: 80
% 1.26/0.80  logic: eq
% 1.26/0.80  % PE eliminated: 50
% 1.26/0.80  % done 63 iterations in 0.076s
% 1.26/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.26/0.80  % SZS output start Refutation
% See solution above
% 1.26/0.80  
% 1.26/0.80  
% 1.26/0.80  % Terminating...
% 1.26/0.82  % Runner terminated.
% 1.26/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------