TSTP Solution File: KRS076+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS076+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.L4mp0Z8QyO true

% Computer : n009.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 05:56:21 EDT 2023

% Result   : Unsatisfiable 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   48 (   4 unt;  11 typ;   0 def)
%            Number of atoms       :   89 (  12 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  239 (  43   ~;  38   |;   7   &; 144   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   2 con; 0-2 aty)
%            Number of variables   :   56 (   0   ^;  53   !;   3   ?;  56   :)

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

thf(i2003_11_14_17_19_06193_type,type,
    i2003_11_14_17_19_06193: $i ).

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

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

thf(rinvF1_type,type,
    rinvF1: $i > $i > $o ).

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

thf(rs_type,type,
    rs: $i > $i > $o ).

thf(rf_type,type,
    rf: $i > $i > $o ).

thf(cowlThing_type,type,
    cowlThing: $i > $o ).

thf(cp_type,type,
    cp: $i > $o ).

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

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( cp @ Y )
            & ( rf @ X @ Y ) )
        & ? [Y: $i] :
            ( ! [Z: $i] :
                ( ( rinvF1 @ Y @ Z )
               => ? [W: $i] :
                    ( ( cowlThing @ W )
                    & ( rs @ Z @ W ) ) )
            & ~ ( cp @ Y )
            & ( rf1 @ X @ Y ) ) ) ) ).

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

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

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf @ X0 @ X1 )
      | ~ ( rf @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__1 @ X0 )
        = X1 )
      | ~ ( rf @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl30]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( rf1 @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_6,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvF1 @ X @ Y )
    <=> ( rf1 @ Y @ X ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvF1 @ X0 @ X1 )
      | ~ ( rf1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvF1 @ ( sk__2 @ X0 ) @ X1 )
      | ( rs @ X1 @ ( sk__3 @ X1 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl248,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rf1 @ X0 @ ( sk__2 @ X1 ) )
      | ~ ( cUnsatisfiable @ X1 )
      | ( rs @ X0 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl26]) ).

thf(zip_derived_cl260,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rs @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl248]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl260]) ).

thf(axiom_11,axiom,
    ! [X: $i,Y: $i] :
      ( ( rs @ X @ Y )
     => ( rf @ X @ Y ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf @ X0 @ X1 )
      | ~ ( rs @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_11]) ).

thf(zip_derived_cl264,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rf @ X0 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl41]) ).

thf(zip_derived_cl296,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl245,zip_derived_cl264]) ).

thf(zip_derived_cl298,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__1 @ X0 )
        = ( sk__3 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl296]) ).

thf(zip_derived_cl24_001,plain,
    ! [X0: $i] :
      ( ( rf1 @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_4,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_4]) ).

thf(zip_derived_cl246,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__2 @ X0 )
        = X1 )
      | ~ ( rf1 @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl31]) ).

thf(zip_derived_cl261_002,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl260]) ).

thf(axiom_10,axiom,
    ! [X: $i,Y: $i] :
      ( ( rs @ X @ Y )
     => ( rf1 @ X @ Y ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf1 @ X0 @ X1 )
      | ~ ( rs @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_10]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rf1 @ X0 @ ( sk__3 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl40]) ).

thf(zip_derived_cl273,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ X0 )
        = ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl246,zip_derived_cl263]) ).

thf(zip_derived_cl274,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__2 @ X0 )
        = ( sk__3 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl273]) ).

thf(zip_derived_cl317,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ X0 )
        = ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl298,zip_derived_cl274]) ).

thf(zip_derived_cl322,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__2 @ X0 )
        = ( sk__1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl317]) ).

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

thf(zip_derived_cl324,plain,
    ! [X0: $i] :
      ( ~ ( cp @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl25]) ).

thf(zip_derived_cl328,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cp @ ( sk__1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl324]) ).

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

thf(zip_derived_cl331,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl328,zip_derived_cl23]) ).

thf(axiom_9,axiom,
    cUnsatisfiable @ i2003_11_14_17_19_06193 ).

thf(zip_derived_cl39,plain,
    cUnsatisfiable @ i2003_11_14_17_19_06193,
    inference(cnf,[status(esa)],[axiom_9]) ).

thf(zip_derived_cl335,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl331,zip_derived_cl39]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS076+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.L4mp0Z8QyO true
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 01:44:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76  % Solved by fo/fo3_bce.sh.
% 0.55/0.76  % BCE start: 42
% 0.55/0.76  % BCE eliminated: 2
% 0.55/0.76  % PE start: 40
% 0.55/0.76  logic: eq
% 0.55/0.76  % PE eliminated: 0
% 0.55/0.76  % done 64 iterations in 0.027s
% 0.55/0.76  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.76  % SZS output start Refutation
% See solution above
% 0.55/0.76  
% 0.55/0.76  
% 0.55/0.76  % Terminating...
% 0.60/0.84  % Runner terminated.
% 0.60/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------