TSTP Solution File: KRS127+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS127+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.UArtjuf11Y true

% Computer : n011.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 05:56:33 EDT 2023

% Result   : Unsatisfiable 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   35 (   4 unt;  10 typ;   0 def)
%            Number of atoms       :   59 (   6 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  144 (  30   ~;  24   |;   5   &;  80   @)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (   0   ^;  29   !;   4   ?;  33   :)

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

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

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

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

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

thf(sk__5_type,type,
    sk__5: $i > $i ).

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

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

thf(i2003_11_14_17_22_27794_type,type,
    i2003_11_14_17_22_27794: $i ).

thf(cdxcomp_type,type,
    cdxcomp: $i > $o ).

thf(axiom_5,axiom,
    ! [X: $i] :
      ( ( cdxcomp @ X )
    <=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ( ra_Px1 @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( cdxcomp @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

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

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ra_Px1 @ X0 @ X1 )
      | ~ ( cd @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i] :
      ( ~ ( cdxcomp @ X0 )
      | ~ ( cd @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl25]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cc @ X )
     => ( cdxcomp @ X ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( cdxcomp @ X0 )
      | ~ ( cc @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i] :
      ( ~ ( cd @ X0 )
      | ~ ( cc @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl24]) ).

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

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( cc @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl180,plain,
    ! [X0: $i] :
      ( ~ ( cd @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl176,zip_derived_cl17]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl20,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_cl160,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X1
        = ( sk__2 @ X0 ) )
      | ~ ( rr @ X0 @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).

thf(zip_derived_cl161,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ( X1
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl160]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__3 @ X0 )
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl161]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ X0 )
        = ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl167]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( cd @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cd @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl19]) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i] :
      ( ( cd @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl171]) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl180,zip_derived_cl173]) ).

thf(axiom_6,axiom,
    cUnsatisfiable @ i2003_11_14_17_22_27794 ).

thf(zip_derived_cl29,plain,
    cUnsatisfiable @ i2003_11_14_17_22_27794,
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl189,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl186,zip_derived_cl29]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : KRS127+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UArtjuf11Y true
% 0.14/0.35  % Computer : n011.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 01:25:10 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
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % Solved by fo/fo6_bce.sh.
% 0.22/0.75  % BCE start: 30
% 0.22/0.75  % BCE eliminated: 4
% 0.22/0.75  % PE start: 26
% 0.22/0.75  logic: eq
% 0.22/0.75  % PE eliminated: 0
% 0.22/0.75  % done 32 iterations in 0.018s
% 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...
% 1.43/0.85  % Runner terminated.
% 1.43/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------