TSTP Solution File: KRS087+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS087+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.Hsy9xED8MM true

% Computer : n031.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 05:56:23 EDT 2023

% Result   : Unsatisfiable 1.07s 0.79s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (   4 unt;   7 typ;   0 def)
%            Number of atoms       :   46 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  125 (  24   ~;  18   |;   5   &;  74   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;  26   !;   2   ?;  28   :)

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

thf(i2003_11_14_17_19_46763_type,type,
    i2003_11_14_17_19_46763: $i ).

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

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

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

thf(rinvR_type,type,
    rinvR: $i > $i > $o ).

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

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ( cp1 @ X )
        & ? [Y: $i] :
            ( ? [Z: $i] :
                ( ( cp1 @ Z )
                & ! [W: $i] :
                    ( ( rinvR @ Z @ W )
                   => ~ ( cp1 @ W ) )
                & ( rr @ Y @ Z ) )
            & ( rr @ X @ Y ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( rr @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

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

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

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ~ ( rr @ X1 @ X2 )
      | ( rr @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rr @ ( sk__1 @ X0 ) @ X1 )
      | ( rr @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl30]) ).

thf(zip_derived_cl187,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( rr @ X0 @ ( sk__2 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl173]) ).

thf(zip_derived_cl189,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl187]) ).

thf(axiom_5,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvR @ X @ Y )
    <=> ( rr @ Y @ X ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvR @ X0 @ X1 )
      | ~ ( rr @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvR @ ( sk__2 @ X0 ) @ X1 )
      | ~ ( cp1 @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ ( sk__2 @ X1 ) )
      | ~ ( cp1 @ X0 )
      | ~ ( cUnsatisfiable @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl21]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp1 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl171]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $i] :
      ( ~ ( cp1 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl192]) ).

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

thf(zip_derived_cl195,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl194,zip_derived_cl18]) ).

thf(axiom_7,axiom,
    cUnsatisfiable @ i2003_11_14_17_19_46763 ).

thf(zip_derived_cl31,plain,
    cUnsatisfiable @ i2003_11_14_17_19_46763,
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(zip_derived_cl197,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl31]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : KRS087+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.17  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hsy9xED8MM true
% 0.17/0.38  % Computer : n031.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit : 300
% 0.17/0.38  % WCLimit  : 300
% 0.17/0.38  % DateTime : Mon Aug 28 01:28:54 EDT 2023
% 0.17/0.39  % CPUTime  : 
% 0.17/0.39  % Running portfolio for 300 s
% 0.17/0.39  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.39  % Number of cores: 8
% 0.17/0.39  % Python version: Python 3.6.8
% 0.17/0.39  % Running in FO mode
% 0.25/0.70  % Total configuration time : 435
% 0.25/0.70  % Estimated wc time : 1092
% 0.25/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.25/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.25/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.79  % Solved by fo/fo6_bce.sh.
% 1.07/0.79  % BCE start: 32
% 1.07/0.79  % BCE eliminated: 4
% 1.07/0.79  % PE start: 28
% 1.07/0.79  logic: eq
% 1.07/0.79  % PE eliminated: 0
% 1.07/0.79  % done 33 iterations in 0.018s
% 1.07/0.79  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.07/0.79  % SZS output start Refutation
% See solution above
% 1.07/0.79  
% 1.07/0.79  
% 1.07/0.79  % Terminating...
% 1.49/0.89  % Runner terminated.
% 1.49/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------