TSTP Solution File: KRS077+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FMVKL5ogfX true

% Computer : n010.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 0.87s 0.79s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   44 (   4 unt;  12 typ;   0 def)
%            Number of atoms       :   89 (   8 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  236 (  39   ~;  35   |;  12   &; 140   @)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   2 con; 0-3 aty)
%            Number of variables   :   58 (   0   ^;  54   !;   4   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

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

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

thf(i2003_11_14_17_19_09372_type,type,
    i2003_11_14_17_19_09372: $i ).

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

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $o ).

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

thf(rinvS_type,type,
    rinvS: $i > $i > $o ).

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

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

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

thf(zf_stmt_0,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [Y1: $i,Y0: $i,X: $i] :
      ( ( zip_tseitin_1 @ Y1 @ Y0 @ X )
    <=> ( ( ( rr @ X @ Y0 )
          & ( rr @ X @ Y1 ) )
       => ( Y0 = Y1 ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [Z: $i,Y: $i] :
      ( ( zip_tseitin_0 @ Z @ Y )
    <=> ( ( rinvS @ Y @ Z )
       => ( cp @ Z ) ) ) ).

thf(zf_stmt_4,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ! [Y0: $i,Y1: $i] : ( zip_tseitin_1 @ Y1 @ Y0 @ X )
        & ? [Y: $i] :
            ( ! [Z: $i] : ( zip_tseitin_0 @ Z @ Y )
            & ( rr @ X @ Y ) )
        & ~ ( cp @ X )
        & ? [Y: $i] :
            ( ( cp @ Y )
            & ( rs @ X @ Y ) ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

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

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ( rr @ X0 @ X1 )
      | ~ ( rs @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rr @ X0 @ ( sk__4 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
      | ~ ( cUnsatisfiable @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rr @ X0 @ X1 )
      | ~ ( rr @ X0 @ X2 )
      | ( X1 = X2 )
      | ~ ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rr @ X0 @ X1 )
      | ~ ( rr @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl19]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( rr @ X0 @ X1 )
      | ( ( sk__3 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl193]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__3 @ X0 )
        = X1 )
      | ~ ( rr @ X0 @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl196]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__3 @ X0 )
        = ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl199]) ).

thf(zip_derived_cl206,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ X0 )
        = ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl204]) ).

thf(zip_derived_cl27_001,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl207,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rs @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl206,zip_derived_cl27]) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i] :
      ( ( rs @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl207]) ).

thf(axiom_3,axiom,
    ! [X: $i,Y: $i] :
      ( ( rinvS @ X @ Y )
    <=> ( rs @ Y @ X ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ( rinvS @ X0 @ X1 )
      | ~ ( rs @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ ( sk__3 @ X1 ) )
      | ~ ( cUnsatisfiable @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rinvS @ X0 @ X1 )
      | ( cp @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp @ X1 )
      | ~ ( rinvS @ ( sk__3 @ X0 ) @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl16]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rs @ X0 @ ( sk__3 @ X1 ) )
      | ~ ( cUnsatisfiable @ X1 )
      | ( cp @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl177]) ).

thf(zip_derived_cl224,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( cp @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl211,zip_derived_cl192]) ).

thf(zip_derived_cl225,plain,
    ! [X0: $i] :
      ( ( cp @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl224]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ~ ( cp @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl225,zip_derived_cl26]) ).

thf(axiom_4,axiom,
    cUnsatisfiable @ i2003_11_14_17_19_09372 ).

thf(zip_derived_cl32,plain,
    cUnsatisfiable @ i2003_11_14_17_19_09372,
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl229,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl226,zip_derived_cl32]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FMVKL5ogfX true
% 0.14/0.35  % Computer : n010.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 01:36:49 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.87/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.87/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.87/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.87/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.87/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.87/0.79  % Solved by fo/fo6_bce.sh.
% 0.87/0.79  % BCE start: 34
% 0.87/0.79  % BCE eliminated: 4
% 0.87/0.79  % PE start: 30
% 0.87/0.79  logic: eq
% 0.87/0.79  % PE eliminated: 2
% 0.87/0.79  % done 41 iterations in 0.022s
% 0.87/0.79  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.87/0.79  % SZS output start Refutation
% See solution above
% 0.87/0.79  
% 0.87/0.79  
% 1.32/0.79  % Terminating...
% 1.61/0.85  % Runner terminated.
% 1.63/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------