TSTP Solution File: KRS095+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS095+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.UEdOPKH4cH true

% Computer : n006.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 05:56:25 EDT 2023

% Result   : Unsatisfiable 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   33 (   8 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   81 (  17   ~;  14   |;   4   &;  44   @)
%                                         (   1 <=>;   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     :    7 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  16   !;   2   ?;  18   :)

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

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(rr_type,type,
    rr: $i > $i > $o ).

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

thf(i2003_11_14_17_20_14253_type,type,
    i2003_11_14_17_20_14253: $i ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y0: $i,Y1: $i] :
            ( ( Y0 != Y1 )
            & ( rr @ X @ Y1 )
            & ( rr @ X @ Y0 ) )
        & ! [Y0: $i,Y1: $i] :
            ( ( ( rr @ X @ Y0 )
              & ( rr @ X @ Y1 ) )
           => ( Y0 = Y1 ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rr @ X2 @ X0 )
      | ~ ( rr @ X2 @ X1 )
      | ~ ( cUnsatisfiable @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X1
        = ( sk__3 @ X0 ) )
      | ~ ( rr @ X0 @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ( X1
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__2 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl95]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ X0 )
       != ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl13]) ).

thf(axiom_4,axiom,
    cUnsatisfiable @ i2003_11_14_17_20_14253 ).

thf(zip_derived_cl21,plain,
    cUnsatisfiable @ i2003_11_14_17_20_14253,
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl104,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl21]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS095+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UEdOPKH4cH true
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 01:03:37 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % Solved by fo/fo6_bce.sh.
% 0.22/0.75  % BCE start: 22
% 0.22/0.75  % BCE eliminated: 7
% 0.22/0.75  % PE start: 15
% 0.22/0.75  logic: eq
% 0.22/0.75  % PE eliminated: 0
% 0.22/0.75  % done 14 iterations in 0.009s
% 0.22/0.75  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.75  % SZS output start Refutation
% See solution above
% 0.22/0.75  
% 0.22/0.75  
% 0.22/0.75  % Terminating...
% 1.36/0.85  % Runner terminated.
% 1.36/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------