TSTP Solution File: KRS216+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS216+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9bquTh7aG6 true

% Computer : n003.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 05:56:54 EDT 2023

% Result   : Theorem 0.96s 0.91s
% Output   : Refutation 0.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   34 (  10 unt;  10 typ;   0 def)
%            Number of atoms       :   50 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  172 (  20   ~;  19   |;   2   &; 126   @)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   46 (   0   ^;  42   !;   4   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__51_type,type,
    sk__51: $i ).

thf(thm_type,type,
    thm: $i ).

thf(status_type,type,
    status: $i > $i > $i > $o ).

thf(not_type,type,
    not: $i > $i ).

thf(model_type,type,
    model: $i > $i > $o ).

thf(uns_type,type,
    uns: $i ).

thf(sk__37_type,type,
    sk__37: $i > $i ).

thf(sk__38_type,type,
    sk__38: $i > $i ).

thf(nota_type,type,
    nota: $i > $i > $o ).

thf(sk__55_type,type,
    sk__55: $i ).

thf(tautology,axiom,
    ? [F: $i] :
    ! [I: $i] : ( model @ I @ F ) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i] : ( model @ X0 @ sk__51 ),
    inference(cnf,[status(esa)],[tautology]) ).

thf(completeness,axiom,
    ! [I: $i,F: $i] :
      ~ ( ( model @ I @ F )
      <=> ( model @ I @ ( not @ F ) ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ X0 @ ( not @ X1 ) )
      | ( model @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[completeness]) ).

thf(uns,axiom,
    ! [Ax: $i,C: $i] :
      ( ( ! [I1: $i] : ( model @ I1 @ Ax )
        & ! [I2: $i] : ( model @ I2 @ ( not @ C ) ) )
    <=> ( status @ Ax @ C @ uns ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X0 @ X1 @ uns )
      | ~ ( model @ ( sk__37 @ X1 ) @ ( not @ X1 ) )
      | ~ ( model @ ( sk__38 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[uns]) ).

thf(nota,axiom,
    ! [S1: $i,S2: $i] :
      ( ? [Ax: $i,C: $i] :
          ( ~ ( status @ Ax @ C @ S2 )
          & ( status @ Ax @ C @ S1 ) )
    <=> ( nota @ S1 @ S2 ) ) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( nota @ X0 @ X1 )
      | ~ ( status @ X2 @ X3 @ X0 )
      | ( status @ X2 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[nota]) ).

thf(nota_uns_thm,conjecture,
    nota @ uns @ thm ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( nota @ uns @ thm ),
    inference('cnf.neg',[status(esa)],[nota_uns_thm]) ).

thf(zip_derived_cl108,plain,
    ~ ( nota @ uns @ thm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i] :
      ( ( status @ X1 @ X0 @ thm )
      | ~ ( status @ X1 @ X0 @ uns ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl108]) ).

thf(zip_derived_cl382,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( model @ ( sk__38 @ X1 ) @ X1 )
      | ~ ( model @ ( sk__37 @ X0 ) @ ( not @ X0 ) )
      | ( status @ X1 @ X0 @ thm ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl117]) ).

thf(thm,axiom,
    ! [Ax: $i,C: $i] :
      ( ! [I1: $i] :
          ( ( model @ I1 @ Ax )
         => ( model @ I1 @ C ) )
    <=> ( status @ Ax @ C @ thm ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( model @ X0 @ X1 )
      | ( model @ X0 @ X2 )
      | ~ ( status @ X1 @ X2 @ thm ) ),
    inference(cnf,[status(esa)],[thm]) ).

thf(zip_derived_cl450,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( model @ ( sk__37 @ X0 ) @ ( not @ X0 ) )
      | ~ ( model @ ( sk__38 @ X1 ) @ X1 )
      | ( model @ X2 @ X0 )
      | ~ ( model @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl15]) ).

thf(zip_derived_cl451,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model @ ( sk__37 @ X0 ) @ X0 )
      | ~ ( model @ X2 @ X1 )
      | ( model @ X2 @ X0 )
      | ~ ( model @ ( sk__38 @ X1 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl450]) ).

thf(zip_derived_cl565,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ X1 @ X0 )
      | ~ ( model @ X1 @ sk__51 )
      | ( model @ ( sk__37 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl451]) ).

thf(zip_derived_cl93_001,plain,
    ! [X0: $i] : ( model @ X0 @ sk__51 ),
    inference(cnf,[status(esa)],[tautology]) ).

thf(zip_derived_cl569,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ X1 @ X0 )
      | ( model @ ( sk__37 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl93]) ).

thf(zip_derived_cl570,plain,
    ! [X0: $i] : ( model @ ( sk__37 @ X0 ) @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl569]) ).

thf(contradiction,axiom,
    ? [F: $i] :
    ! [I: $i] :
      ~ ( model @ I @ F ) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ~ ( model @ X0 @ sk__55 ),
    inference(cnf,[status(esa)],[contradiction]) ).

thf(zip_derived_cl584,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS216+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9bquTh7aG6 true
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 02:27:25 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.83/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.83/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.83/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.83/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.83/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.96/0.91  % Solved by fo/fo3_bce.sh.
% 0.96/0.91  % BCE start: 109
% 0.96/0.91  % BCE eliminated: 0
% 0.96/0.91  % PE start: 109
% 0.96/0.91  logic: neq
% 0.96/0.91  % PE eliminated: 4
% 0.96/0.91  % done 154 iterations in 0.111s
% 0.96/0.91  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.96/0.91  % SZS output start Refutation
% See solution above
% 0.96/0.91  
% 0.96/0.91  
% 0.96/0.91  % Terminating...
% 1.67/0.98  % Runner terminated.
% 1.67/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------