TSTP Solution File: SWC408+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC408+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YqP2Yejdlv 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 21:31:23 EDT 2023

% Result   : Theorem 1.36s 0.82s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   30 (  14 unt;   9 typ;   0 def)
%            Number of atoms       :   55 (  12 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  126 (  21   ~;  20   |;   0   &;  71   @)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(sk__8_type,type,
    sk__8: $i ).

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

thf(app_type,type,
    app: $i > $i > $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( ( app @ X @ X )
                     != W )
                    | ( V != X )
                    | ( U != W )
                    | ! [Y: $i] :
                        ( ( ssItem @ Y )
                       => ( ~ ( memberP @ V @ Y )
                          | ( memberP @ U @ Y ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( ( app @ X @ X )
                       != W )
                      | ( V != X )
                      | ( U != W )
                      | ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ( ~ ( memberP @ V @ Y )
                            | ( memberP @ U @ Y ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl36,plain,
    ~ ( memberP @ sk__6 @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    memberP @ sk__7 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ( ( app @ sk__9 @ sk__9 )
    = sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl252,plain,
    ( ( app @ sk__7 @ sk__7 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl40,zip_derived_cl40,zip_derived_cl39]) ).

thf(ax36,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( app @ V @ W ) @ U )
              <=> ( ( memberP @ V @ U )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X0 @ X1 )
      | ( memberP @ ( app @ X0 @ X2 ) @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl505,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__6 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__7 )
      | ~ ( memberP @ sk__7 @ X0 )
      | ~ ( ssList @ sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl252,zip_derived_cl20]) ).

thf(zip_derived_cl42,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40_002,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl251,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl40]) ).

thf(zip_derived_cl251_003,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl40]) ).

thf(zip_derived_cl512,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__6 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__7 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl251,zip_derived_cl251]) ).

thf(zip_derived_cl514,plain,
    ( ~ ( ssItem @ sk__10 )
    | ( memberP @ sk__6 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl512]) ).

thf(zip_derived_cl38,plain,
    ssItem @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl515,plain,
    memberP @ sk__6 @ sk__10,
    inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl38]) ).

thf(zip_derived_cl517,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl515]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC408+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YqP2Yejdlv true
% 0.18/0.35  % Computer : n010.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Mon Aug 28 17:31:49 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  % Number of cores: 8
% 0.18/0.36  % Python version: Python 3.6.8
% 0.18/0.36  % 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
% 0.91/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.91/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.91/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.91/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.91/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.82  % Solved by fo/fo3_bce.sh.
% 1.36/0.82  % BCE start: 44
% 1.36/0.82  % BCE eliminated: 0
% 1.36/0.82  % PE start: 44
% 1.36/0.82  logic: eq
% 1.36/0.82  % PE eliminated: 0
% 1.36/0.82  % done 66 iterations in 0.045s
% 1.36/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.82  % SZS output start Refutation
% See solution above
% 1.36/0.82  
% 1.36/0.82  
% 1.36/0.82  % Terminating...
% 1.36/0.87  % Runner terminated.
% 1.36/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------