TSTP Solution File: KRS111+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS111+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.pXxEBAphyA true

% Computer : n013.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 05:56:29 EDT 2023

% Result   : Unsatisfiable 0.20s 0.74s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   50 (   4 unt;  13 typ;   0 def)
%            Number of atoms       :   87 (  12 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  220 (  41   ~;  36   |;   7   &; 129   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   2 con; 0-2 aty)
%            Number of variables   :   57 (   0   ^;  52   !;   5   ?;  57   :)

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

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

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

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

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

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

thf(i2003_11_14_17_21_15425_type,type,
    i2003_11_14_17_21_15425: $i ).

thf(ra_Px1_type,type,
    ra_Px1: $i > $i > $o ).

thf(cpxcomp_type,type,
    cpxcomp: $i > $o ).

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

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

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

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

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

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( rf1 @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_13,axiom,
    ! [X: $i,Y: $i] :
      ( ( rs @ X @ Y )
     => ( rf1 @ X @ Y ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf1 @ X0 @ X1 )
      | ~ ( rs @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_13]) ).

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

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf1 @ X0 @ X1 )
      | ~ ( rf1 @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl257,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rs @ X1 @ X0 )
      | ~ ( rf1 @ X1 @ X2 )
      | ( X0 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl37]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rf1 @ X0 @ X1 )
      | ( ( sk__1 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl257]) ).

thf(zip_derived_cl293,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__1 @ X0 )
        = ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl275]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ X0 )
        = ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl27_001,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_12,axiom,
    ! [X: $i,Y: $i] :
      ( ( rs @ X @ Y )
     => ( rf @ X @ Y ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf @ X0 @ X1 )
      | ~ ( rs @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_12]) ).

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

thf(axiom_5,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( rf @ X @ Y )
        & ( rf @ X @ Z ) )
     => ( Y = Z ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rf @ X0 @ X1 )
      | ~ ( rf @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rf @ X0 @ X1 )
      | ( ( sk__2 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl36]) ).

thf(zip_derived_cl272,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rs @ X1 @ X0 )
      | ~ ( cUnsatisfiable @ X1 )
      | ( ( sk__2 @ X1 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl255]) ).

thf(zip_derived_cl279,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__2 @ X0 )
        = ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl272]) ).

thf(zip_derived_cl280,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ X0 )
        = ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl279]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( cp @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl282,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl280,zip_derived_cl30]) ).

thf(zip_derived_cl284,plain,
    ! [X0: $i] :
      ( ( cp @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl282]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl294,zip_derived_cl284]) ).

thf(zip_derived_cl308,plain,
    ! [X0: $i] :
      ( ( cp @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl305]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cpxcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( ra_Px1 @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( cpxcomp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cp @ X )
    <=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i] :
      ( ~ ( cpxcomp @ X0 )
      | ~ ( cp @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl32]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ( cpxcomp @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl266,plain,
    ! [X0: $i] :
      ( ~ ( cp @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl263,zip_derived_cl26]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl308,zip_derived_cl266]) ).

thf(axiom_11,axiom,
    cUnsatisfiable @ i2003_11_14_17_21_15425 ).

thf(zip_derived_cl45,plain,
    cUnsatisfiable @ i2003_11_14_17_21_15425,
    inference(cnf,[status(esa)],[axiom_11]) ).

thf(zip_derived_cl312,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl309,zip_derived_cl45]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS111+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pXxEBAphyA true
% 0.13/0.34  % Computer : n013.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 01:44:47 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
% 0.20/0.34  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % Solved by fo/fo6_bce.sh.
% 0.20/0.74  % BCE start: 48
% 0.20/0.74  % BCE eliminated: 2
% 0.20/0.74  % PE start: 46
% 0.20/0.74  logic: eq
% 0.20/0.74  % PE eliminated: 0
% 0.20/0.74  % done 65 iterations in 0.025s
% 0.20/0.74  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.74  % SZS output start Refutation
% See solution above
% 0.20/0.74  
% 0.20/0.74  
% 0.20/0.74  % Terminating...
% 1.37/0.83  % Runner terminated.
% 1.37/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------