TSTP Solution File: KRS069+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS069+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zBkCGgR5rO true

% Computer : n023.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 05:56:19 EDT 2023

% Result   : Unsatisfiable 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   41 (   4 unt;  10 typ;   0 def)
%            Number of atoms       :   75 (  14 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  192 (  37   ~;  32   |;   7   &; 111   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   49 (   0   ^;  46   !;   3   ?;  49   :)

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

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

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

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

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

thf(i2003_11_14_17_18_2750_type,type,
    i2003_11_14_17_18_2750: $i ).

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

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

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

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

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

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( rf2 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( rf3 @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_8,axiom,
    ! [X: $i,Y: $i] :
      ( ( rf3 @ X @ Y )
     => ( rf2 @ X @ Y ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf2 @ X0 @ X1 )
      | ~ ( rf3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(axiom_4,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rf2 @ X @ Y )
        & ( rf2 @ X @ Z ) )
     => ( Y = Z ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf2 @ X0 @ X1 )
      | ~ ( rf2 @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl148,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf3 @ X1 @ X0 )
      | ~ ( rf2 @ X1 @ X2 )
      | ( X0 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl25]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rf2 @ X0 @ X1 )
      | ( ( sk__2 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl148]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__2 @ X0 )
        = ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl155]) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ X0 )
        = ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl172]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( rf1 @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl21_001,plain,
    ! [X0: $i] :
      ( ( rf3 @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_7,axiom,
    ! [X: $i,Y: $i] :
      ( ( rf3 @ X @ Y )
     => ( rf1 @ X @ Y ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf1 @ X0 @ X1 )
      | ~ ( rf3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(axiom_3,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rf1 @ X @ Y )
        & ( rf1 @ X @ Z ) )
     => ( Y = Z ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf1 @ X0 @ X1 )
      | ~ ( rf1 @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf3 @ X1 @ X0 )
      | ~ ( rf1 @ X1 @ X2 )
      | ( X0 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl24]) ).

thf(zip_derived_cl153,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rf1 @ X0 @ X1 )
      | ( ( sk__2 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl145]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__2 @ X0 )
        = ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl153]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ X0 )
        = ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl165]) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__1 @ X0 )
        = ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl166]) ).

thf(zip_derived_cl189,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ X0 )
        = ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl186]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ~ ( cp1 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl20]) ).

thf(zip_derived_cl198,plain,
    ! [X0: $i] :
      ( ~ ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl195]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl200,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl198,zip_derived_cl18]) ).

thf(axiom_6,axiom,
    cUnsatisfiable @ i2003_11_14_17_18_2750 ).

thf(zip_derived_cl27,plain,
    cUnsatisfiable @ i2003_11_14_17_18_2750,
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl202,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS069+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zBkCGgR5rO true
% 0.16/0.36  % Computer : n023.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Mon Aug 28 02:14:55 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.36  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in FO mode
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % Solved by fo/fo6_bce.sh.
% 0.58/0.76  % BCE start: 30
% 0.58/0.76  % BCE eliminated: 4
% 0.58/0.76  % PE start: 26
% 0.58/0.76  logic: eq
% 0.58/0.76  % PE eliminated: 0
% 0.58/0.76  % done 43 iterations in 0.020s
% 0.58/0.76  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.76  % SZS output start Refutation
% See solution above
% 0.58/0.76  
% 0.58/0.76  
% 0.58/0.76  % Terminating...
% 1.58/0.86  % Runner terminated.
% 1.58/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------