TSTP Solution File: KRS097+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS097+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.JePAD6u0rN 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 05:56:26 EDT 2023

% Result   : Unsatisfiable 1.18s 0.78s
% Output   : Refutation 1.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   33 (   4 unt;   8 typ;   0 def)
%            Number of atoms       :   63 (  11 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  160 (  35   ~;  29   |;   8   &;  87   @)
%                                         (   1 <=>;   0  =>;   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     :   10 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  27   !;   5   ?;  32   :)

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

thf(i2003_11_14_17_20_21603_type,type,
    i2003_11_14_17_20_21603: $i ).

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

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

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

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

thf(cc_type,type,
    cc: $i > $o ).

thf(cd_type,type,
    cd: $i > $o ).

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

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl32,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_cl271,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X1
        = ( sk__2 @ X0 ) )
      | ~ ( rr @ X0 @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl32]) ).

thf(zip_derived_cl272,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ( X1
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl271]) ).

thf(zip_derived_cl282,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__4 @ X0 )
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl272]) ).

thf(zip_derived_cl284,plain,
    ! [X0: $i] :
      ( ( ( sk__4 @ X0 )
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl282]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl272_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ( X1
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl271]) ).

thf(zip_derived_cl276,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__3 @ X0 )
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl272]) ).

thf(zip_derived_cl278,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ X0 )
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl276]) ).

thf(zip_derived_cl286,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__3 @ X0 )
        = ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl284,zip_derived_cl278]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ X0 )
        = ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl286]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( cc @ ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl290,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cc @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl288,zip_derived_cl34]) ).

thf(zip_derived_cl292,plain,
    ! [X0: $i] :
      ( ( cc @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl290]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( cd @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_6,axiom,
    ! [X: $i] :
      ~ ( ( cd @ X )
        & ( cc @ X ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ~ ( cd @ X0 )
      | ~ ( cc @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl266,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cc @ ( sk__3 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl43]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl292,zip_derived_cl266]) ).

thf(axiom_4,axiom,
    cUnsatisfiable @ i2003_11_14_17_20_21603 ).

thf(zip_derived_cl41,plain,
    cUnsatisfiable @ i2003_11_14_17_20_21603,
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl296,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl294,zip_derived_cl41]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : KRS097+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JePAD6u0rN true
% 0.14/0.35  % Computer : n031.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
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 02:55:25 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.20/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.18/0.78  % Solved by fo/fo6_bce.sh.
% 1.18/0.78  % BCE start: 51
% 1.18/0.78  % BCE eliminated: 7
% 1.18/0.78  % PE start: 44
% 1.18/0.78  logic: eq
% 1.18/0.78  % PE eliminated: 0
% 1.18/0.78  % done 49 iterations in 0.035s
% 1.18/0.78  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.18/0.78  % SZS output start Refutation
% See solution above
% 1.18/0.78  
% 1.18/0.78  
% 1.18/0.78  % Terminating...
% 1.76/0.84  % Runner terminated.
% 1.78/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------