TSTP Solution File: KRS099+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS099+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.VzCXT3EvtH true

% Computer : n007.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 1.33s 0.77s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   39 (   4 unt;  16 typ;   0 def)
%            Number of atoms       :   78 (  18 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  208 (  30   ~;  22   |;  20   &; 123   @)
%                                         (   7 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   2 con; 0-3 aty)
%            Number of variables   :   57 (   0   ^;  51   !;   6   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ca_type,type,
    ca: $i > $o ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(sk__6_type,type,
    sk__6: $i > $i ).

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

thf(i2003_11_14_17_20_29215_type,type,
    i2003_11_14_17_20_29215: $i ).

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

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(rtt_type,type,
    rtt: $i > $i > $o ).

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

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

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $i > $o ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ! [Y0: $i,Y1: $i] :
            ( ( ( rtt @ X @ Y1 )
              & ( rtt @ X @ Y0 ) )
           => ( Y0 = Y1 ) )
        & ! [Y0: $i,Y1: $i] :
            ( ( ( rtt @ X @ Y1 )
              & ( rtt @ X @ Y0 ) )
           => ( Y0 = Y1 ) )
        & ! [Y: $i] :
            ( ( rtt @ X @ Y )
           => ( ca @ Y ) )
        & ? [Y0: $i,Y1: $i,Y2: $i] :
            ( ( rtt @ X @ Y0 )
            & ( rtt @ X @ Y1 )
            & ( rtt @ X @ Y2 )
            & ( Y0 != Y1 )
            & ( Y0 != Y2 )
            & ( Y1 != Y2 ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_4: $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [Y: $i,X: $i] :
      ( ( zip_tseitin_4 @ Y @ X )
    <=> ( ( rtt @ X @ Y )
       => ( ca @ Y ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [Y1: $i,Y0: $i,X: $i] :
      ( ( zip_tseitin_3 @ Y1 @ Y0 @ X )
    <=> ( ( zip_tseitin_2 @ Y1 @ Y0 @ X )
       => ( Y0 = Y1 ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zf_stmt_5,axiom,
    ! [Y1: $i,Y0: $i,X: $i] :
      ( ( zip_tseitin_2 @ Y1 @ Y0 @ X )
    <=> ( ( rtt @ X @ Y0 )
        & ( rtt @ X @ Y1 ) ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [Y1: $i,Y0: $i,X: $i] :
      ( ( zip_tseitin_1 @ Y1 @ Y0 @ X )
    <=> ( ( zip_tseitin_0 @ Y1 @ Y0 @ X )
       => ( Y0 = Y1 ) ) ) ).

thf(zf_stmt_8,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(zf_stmt_9,axiom,
    ! [Y1: $i,Y0: $i,X: $i] :
      ( ( zip_tseitin_0 @ Y1 @ Y0 @ X )
    <=> ( ( rtt @ X @ Y0 )
        & ( rtt @ X @ Y1 ) ) ) ).

thf(zf_stmt_10,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y0: $i,Y1: $i,Y2: $i] :
            ( ( Y1 != Y2 )
            & ( Y0 != Y2 )
            & ( Y0 != Y1 )
            & ( rtt @ X @ Y2 )
            & ( rtt @ X @ Y1 )
            & ( rtt @ X @ Y0 ) )
        & ! [Y: $i] : ( zip_tseitin_4 @ Y @ X )
        & ! [Y0: $i,Y1: $i] : ( zip_tseitin_3 @ Y1 @ Y0 @ X )
        & ! [Y0: $i,Y1: $i] : ( zip_tseitin_1 @ Y1 @ Y0 @ X ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( rtt @ X0 @ ( sk__6 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( rtt @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
      | ~ ( cUnsatisfiable @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ~ ( rtt @ X2 @ X0 )
      | ~ ( rtt @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ( X1 = X0 )
      | ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl222,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rtt @ X0 @ X1 )
      | ~ ( rtt @ X0 @ X2 )
      | ~ ( zip_tseitin_1 @ X2 @ X1 @ X0 )
      | ( X1 = X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( rtt @ X0 @ X1 )
      | ~ ( rtt @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl222]) ).

thf(zip_derived_cl269,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ~ ( rtt @ X0 @ X1 )
      | ( ( sk__5 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl264]) ).

thf(zip_derived_cl273,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__5 @ X0 )
        = X1 )
      | ~ ( rtt @ X0 @ X1 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl269]) ).

thf(zip_derived_cl282,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__5 @ X0 )
        = ( sk__6 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl273]) ).

thf(zip_derived_cl285,plain,
    ! [X0: $i] :
      ( ( ( sk__5 @ X0 )
        = ( sk__6 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl282]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( ( sk__5 @ X0 )
       != ( sk__6 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl293,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl285,zip_derived_cl34]) ).

thf(axiom_5,axiom,
    cUnsatisfiable @ i2003_11_14_17_20_29215 ).

thf(zip_derived_cl41,plain,
    cUnsatisfiable @ i2003_11_14_17_20_29215,
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl294,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl293,zip_derived_cl41]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS099+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VzCXT3EvtH true
% 0.14/0.35  % Computer : n007.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 01:12:28 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
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.68  % Total configuration time : 435
% 0.21/0.68  % Estimated wc time : 1092
% 0.21/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.33/0.77  % Solved by fo/fo6_bce.sh.
% 1.33/0.77  % BCE start: 42
% 1.33/0.77  % BCE eliminated: 4
% 1.33/0.77  % PE start: 38
% 1.33/0.77  logic: eq
% 1.33/0.77  % PE eliminated: 6
% 1.33/0.77  % done 38 iterations in 0.023s
% 1.33/0.77  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.77  % SZS output start Refutation
% See solution above
% 1.33/0.77  
% 1.33/0.77  
% 1.33/0.77  % Terminating...
% 1.59/0.88  % Runner terminated.
% 1.59/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------