TSTP Solution File: KRS106+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS106+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RF2n2rE4U6 true

% Computer : n021.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 05:56:28 EDT 2023

% Result   : Unsatisfiable 0.19s 0.76s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   50 (   4 unt;  13 typ;   0 def)
%            Number of atoms       :   87 (  12 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  222 (  43   ~;  36   |;   7   &; 129   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   2 con; 0-2 aty)
%            Number of variables   :   58 (   0   ^;  53   !;   5   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(cp2_type,type,
    cp2: $i > $o ).

thf(rf3_type,type,
    rf3: $i > $i > $o ).

thf(i2003_11_14_17_20_57644_type,type,
    i2003_11_14_17_20_57644: $i ).

thf(cUnsatisfiable_type,type,
    cUnsatisfiable: $i > $o ).

thf(ra_Px1_type,type,
    ra_Px1: $i > $i > $o ).

thf(rf2_type,type,
    rf2: $i > $i > $o ).

thf(rf1_type,type,
    rf1: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(cp1xcomp_type,type,
    cp1xcomp: $i > $o ).

thf(cp1_type,type,
    cp1: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( cp2 @ Y )
            & ( rf3 @ X @ Y ) )
        & ? [Y: $i] :
            ( ( cp1 @ Y )
            & ( rf1 @ X @ Y ) )
        & ? [Y: $i] :
            ( ( cp1xcomp @ Y )
            & ( rf2 @ X @ Y ) ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( rf2 @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( rf3 @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_10,axiom,
    ! [X: $i,Y: $i] :
      ( ( rf3 @ X @ Y )
     => ( rf2 @ X @ Y ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf2 @ X0 @ X1 )
      | ~ ( rf3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_10]) ).

thf(axiom_6,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rf2 @ X @ Y )
        & ( rf2 @ X @ Z ) )
     => ( Y = Z ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf2 @ X0 @ X1 )
      | ~ ( rf2 @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf3 @ X1 @ X0 )
      | ~ ( rf2 @ X1 @ X2 )
      | ( X0 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl32]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rf2 @ X0 @ X1 )
      | ( ( sk_ @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl193]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk_ @ X0 )
        = ( sk__2 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl204]) ).

thf(zip_derived_cl222,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ X0 )
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl221]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cp1xcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( ra_Px1 @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( cp1xcomp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cp1 @ X )
    <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cp1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i] :
      ( ~ ( cp1xcomp @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl27]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( cp1xcomp @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl187,plain,
    ! [X0: $i] :
      ( ~ ( cp1 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl182,zip_derived_cl25]) ).

thf(zip_derived_cl225,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl187]) ).

thf(zip_derived_cl228,plain,
    ! [X0: $i] :
      ( ~ ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl225]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( rf1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl20_001,plain,
    ! [X0: $i] :
      ( ( rf3 @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_9,axiom,
    ! [X: $i,Y: $i] :
      ( ( rf3 @ X @ Y )
     => ( rf1 @ X @ Y ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf1 @ X0 @ X1 )
      | ~ ( rf3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(axiom_5,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rf1 @ X @ Y )
        & ( rf1 @ X @ Z ) )
     => ( Y = Z ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf1 @ X0 @ X1 )
      | ~ ( rf1 @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl190,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf3 @ X1 @ X0 )
      | ~ ( rf1 @ X1 @ X2 )
      | ( X0 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl31]) ).

thf(zip_derived_cl198,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rf1 @ X0 @ X1 )
      | ( ( sk_ @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl190]) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk_ @ X0 )
        = ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl198]) ).

thf(zip_derived_cl212,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ X0 )
        = ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl211]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( cp1 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl216,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl23]) ).

thf(zip_derived_cl218,plain,
    ! [X0: $i] :
      ( ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl216]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl228,zip_derived_cl218]) ).

thf(axiom_8,axiom,
    cUnsatisfiable @ i2003_11_14_17_20_57644 ).

thf(zip_derived_cl34,plain,
    cUnsatisfiable @ i2003_11_14_17_20_57644,
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl233,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl229,zip_derived_cl34]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS106+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RF2n2rE4U6 true
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 01:52:58 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.19/0.66  % Total configuration time : 435
% 0.19/0.66  % Estimated wc time : 1092
% 0.19/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.76  % Solved by fo/fo6_bce.sh.
% 0.19/0.76  % BCE start: 37
% 0.19/0.76  % BCE eliminated: 4
% 0.19/0.76  % PE start: 33
% 0.19/0.76  logic: eq
% 0.19/0.76  % PE eliminated: 0
% 0.19/0.76  % done 51 iterations in 0.025s
% 0.19/0.76  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.76  % SZS output start Refutation
% See solution above
% 0.19/0.76  
% 0.19/0.76  
% 0.19/0.76  % Terminating...
% 1.19/0.85  % Runner terminated.
% 1.69/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------