TSTP Solution File: KRS215+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS215+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Mj2p4Srj1Q true

% Computer : n026.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 05:56:53 EDT 2023

% Result   : Theorem 8.52s 1.87s
% Output   : Refutation 8.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   33 (   9 unt;   9 typ;   0 def)
%            Number of atoms       :   47 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  147 (  15   ~;  15   |;   3   &; 109   @)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   41 (   0   ^;  34   !;   7   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(thm_type,type,
    thm: $i ).

thf(sk__54_type,type,
    sk__54: $i ).

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

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

thf(csa_type,type,
    csa: $i ).

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

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

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

thf(sk__52_type,type,
    sk__52: $i ).

thf(satisfiable,axiom,
    ? [F: $i] :
      ( ? [I2: $i] :
          ~ ( model @ I2 @ F )
      & ? [I1: $i] : ( model @ I1 @ F ) ) ).

thf(zip_derived_cl94,plain,
    model @ sk__54 @ sk__52,
    inference(cnf,[status(esa)],[satisfiable]) ).

thf(zip_derived_cl94_001,plain,
    model @ sk__54 @ sk__52,
    inference(cnf,[status(esa)],[satisfiable]) ).

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

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( status @ X0 @ X1 @ csa )
      | ~ ( model @ X2 @ X0 )
      | ~ ( model @ X2 @ ( not @ X1 ) ) ),
    inference(cnf,[status(esa)],[csa]) ).

thf(zip_derived_cl361,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( model @ X1 @ X0 )
      | ~ ( model @ X1 @ X2 )
      | ( status @ X2 @ X0 @ csa ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl62]) ).

thf(zip_derived_cl3637,plain,
    ! [X0: $i] :
      ( ( status @ sk__52 @ X0 @ csa )
      | ( model @ sk__54 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl361]) ).

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_csa_thm,conjecture,
    nota @ csa @ thm ).

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

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

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

thf(zip_derived_cl11326,plain,
    ! [X0: $i] :
      ( ( model @ sk__54 @ X0 )
      | ( status @ sk__52 @ X0 @ thm ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3637,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_cl11452,plain,
    ! [X0: $i,X1: $i] :
      ( ( model @ sk__54 @ X0 )
      | ( model @ X1 @ X0 )
      | ~ ( model @ X1 @ sk__52 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11326,zip_derived_cl15]) ).

thf(zip_derived_cl11469,plain,
    ! [X0: $i] :
      ( ( model @ sk__54 @ X0 )
      | ( model @ sk__54 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl11452]) ).

thf(zip_derived_cl11473,plain,
    ! [X0: $i] : ( model @ sk__54 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl11469]) ).

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_cl11533,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl11473,zip_derived_cl96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS215+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Mj2p4Srj1Q true
% 0.13/0.35  % Computer : n026.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 Aug 28 02:29:05 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.36  % Running in FO mode
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.52/1.87  % Solved by fo/fo3_bce.sh.
% 8.52/1.87  % BCE start: 109
% 8.52/1.87  % BCE eliminated: 0
% 8.52/1.87  % PE start: 109
% 8.52/1.87  logic: neq
% 8.52/1.87  % PE eliminated: 4
% 8.52/1.87  % done 1967 iterations in 1.088s
% 8.52/1.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.52/1.87  % SZS output start Refutation
% See solution above
% 8.52/1.87  
% 8.52/1.87  
% 8.52/1.87  % Terminating...
% 9.22/1.98  % Runner terminated.
% 9.22/2.00  % Zipperpin 1.5 exiting
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