TSTP Solution File: KRS067+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS067+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.zE0T2wceSa true

% Computer : n008.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 05:56:18 EDT 2023

% Result   : Unsatisfiable 0.17s 0.70s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   47 (   7 unt;  11 typ;   0 def)
%            Number of atoms       :   86 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  160 (  25   ~;  37   |;   6   &;  85   @)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   2 con; 0-1 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

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

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

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

thf(cb_type,type,
    cb: $i > $o ).

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

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

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

thf(i2003_11_14_17_18_1956_type,type,
    i2003_11_14_17_18_1956: $i ).

thf(axiom_5,axiom,
    cUnsatisfiable @ i2003_11_14_17_18_1956 ).

thf(zip_derived_cl20,plain,
    cUnsatisfiable @ i2003_11_14_17_18_1956,
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ( ( ca @ X )
          & ( cc @ X ) )
        | ( ( ca @ X )
          & ( cb @ X ) )
        | ( ( cb @ X )
          & ( cc @ X ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_2: $i > $o ).

thf(zf_stmt_1,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_2 @ X )
    <=> ( ( cc @ X )
        & ( cb @ X ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_1: $i > $o ).

thf(zf_stmt_3,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_1 @ X )
    <=> ( ( cb @ X )
        & ( ca @ X ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_0: $i > $o ).

thf(zf_stmt_5,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_0 @ X )
    <=> ( ( cc @ X )
        & ( ca @ X ) ) ) ).

thf(zf_stmt_6,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ( zip_tseitin_2 @ X )
        | ( zip_tseitin_1 @ X )
        | ( zip_tseitin_0 @ X ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 )
      | ( zip_tseitin_1 @ X0 )
      | ( zip_tseitin_2 @ X0 )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl32,plain,
    ( ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_1 @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_0 @ i2003_11_14_17_18_1956 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl13]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( cc @ X0 )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl33,plain,
    ( ( zip_tseitin_1 @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ( cc @ i2003_11_14_17_18_1956 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( cb @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl35,plain,
    ( ( cc @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ( cb @ i2003_11_14_17_18_1956 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl7]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( ca @ X )
     => ~ ( ( cc @ X )
          | ( cb @ X ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ~ ( cc @ X0 )
      | ~ ( ca @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl43,plain,
    ( ( cb @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ~ ( ca @ i2003_11_14_17_18_1956 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl35,zip_derived_cl17]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ~ ( cb @ X0 )
      | ~ ( ca @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl56,plain,
    ( ~ ( ca @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ~ ( ca @ i2003_11_14_17_18_1956 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl18]) ).

thf(zip_derived_cl65,plain,
    ( ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ~ ( ca @ i2003_11_14_17_18_1956 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( cb @ X0 )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( cc @ X0 )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cb @ X )
     => ~ ( cc @ X ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ~ ( cc @ X0 )
      | ~ ( cb @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_2 @ X0 )
      | ~ ( cb @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl19]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_2 @ X0 )
      | ~ ( zip_tseitin_2 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl41]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ~ ( zip_tseitin_2 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl32_001,plain,
    ( ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_1 @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_0 @ i2003_11_14_17_18_1956 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl13]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( ca @ X0 )
      | ~ ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl34,plain,
    ( ( zip_tseitin_1 @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ( ca @ i2003_11_14_17_18_1956 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( ca @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl38,plain,
    ( ( ca @ i2003_11_14_17_18_1956 )
    | ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ( ca @ i2003_11_14_17_18_1956 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl8]) ).

thf(zip_derived_cl60,plain,
    ( ( zip_tseitin_2 @ i2003_11_14_17_18_1956 )
    | ( ca @ i2003_11_14_17_18_1956 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl63,plain,
    ca @ i2003_11_14_17_18_1956,
    inference('s_sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl60]) ).

thf(zip_derived_cl66,plain,
    zip_tseitin_2 @ i2003_11_14_17_18_1956,
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl63]) ).

thf(zip_derived_cl62_002,plain,
    ! [X0: $i] :
      ~ ( zip_tseitin_2 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl67,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl62]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : KRS067+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zE0T2wceSa true
% 0.12/0.31  % Computer : n008.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Mon Aug 28 02:22:02 EDT 2023
% 0.12/0.31  % CPUTime  : 
% 0.12/0.31  % Running portfolio for 300 s
% 0.12/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.31  % Number of cores: 8
% 0.15/0.32  % Python version: Python 3.6.8
% 0.15/0.32  % Running in FO mode
% 0.17/0.57  % Total configuration time : 435
% 0.17/0.57  % Estimated wc time : 1092
% 0.17/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.70  % Solved by fo/fo6_bce.sh.
% 0.17/0.70  % BCE start: 21
% 0.17/0.70  % BCE eliminated: 2
% 0.17/0.70  % PE start: 19
% 0.17/0.70  logic: neq
% 0.17/0.70  % PE eliminated: 12
% 0.17/0.70  % done 5 iterations in 0.010s
% 0.17/0.70  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.17/0.70  % SZS output start Refutation
% See solution above
% 0.17/0.70  
% 0.17/0.70  
% 0.17/0.70  % Terminating...
% 0.17/0.79  % Runner terminated.
% 0.17/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------