TSTP Solution File: SWC185+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC185+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OMu7WNibiP true

% Computer : n012.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 21:29:44 EDT 2023

% Result   : Theorem 0.83s 0.82s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   36 (  14 unt;  11 typ;   0 def)
%            Number of atoms       :   86 (  20 equ;   0 cnn)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  254 (  47   ~;  37   |;  10   &; 146   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  26   !;   6   ?;  32   :)

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(nil_type,type,
    nil: $i ).

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

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

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

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

thf(cons_type,type,
    cons: $i > $i > $i ).

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

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ? [Y: $i] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ( ( memberP @ X1 @ Y )
                                  | ( memberP @ Z @ Y ) )
                                & ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
                                  = W )
                                & ( ssList @ X1 ) )
                            & ( ssList @ Z ) )
                        & ( ssItem @ Y ) )
                    | ! [X2: $i] :
                        ( ( ssItem @ X2 )
                       => ! [X3: $i] :
                            ( ( ssList @ X3 )
                           => ! [X4: $i] :
                                ( ( ssList @ X4 )
                               => ( ( ( app @ ( app @ X3 @ ( cons @ X2 @ nil ) ) @ X4 )
                                   != U )
                                  | ( ~ ( memberP @ X3 @ X2 )
                                    & ~ ( memberP @ X4 @ X2 ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ? [Y: $i] :
                          ( ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ( ( memberP @ X1 @ Y )
                                    | ( memberP @ Z @ Y ) )
                                  & ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
                                    = W )
                                  & ( ssList @ X1 ) )
                              & ( ssList @ Z ) )
                          & ( ssItem @ Y ) )
                      | ! [X2: $i] :
                          ( ( ssItem @ X2 )
                         => ! [X3: $i] :
                              ( ( ssList @ X3 )
                             => ! [X4: $i] :
                                  ( ( ssList @ X4 )
                                 => ( ( ( app @ ( app @ X3 @ ( cons @ X2 @ nil ) ) @ X4 )
                                     != U )
                                    | ( ~ ( memberP @ X3 @ X2 )
                                      & ~ ( memberP @ X4 @ X2 ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl38,plain,
    ( ( app @ ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) @ sk__12 )
    = sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X0 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X1 @ nil ) ) @ X2 )
       != sk__8 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X0 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X1 @ nil ) ) @ X2 )
       != sk__6 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl43]) ).

thf(zip_derived_cl132,plain,
    ( ( sk__6 != sk__6 )
    | ~ ( ssItem @ sk__10 )
    | ~ ( ssList @ sk__12 )
    | ~ ( memberP @ sk__11 @ sk__10 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl47]) ).

thf(zip_derived_cl40,plain,
    ssItem @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ssList @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139,plain,
    ( ( sk__6 != sk__6 )
    | ~ ( memberP @ sk__11 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl40,zip_derived_cl39,zip_derived_cl36]) ).

thf(zip_derived_cl140,plain,
    ~ ( memberP @ sk__11 @ sk__10 ),
    inference(simplify,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl37,plain,
    ( ( memberP @ sk__11 @ sk__10 )
    | ( memberP @ sk__12 @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_001,plain,
    ( ( app @ ( app @ sk__11 @ ( cons @ sk__10 @ nil ) ) @ sk__12 )
    = sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X2 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X1 @ nil ) ) @ X2 )
       != sk__8 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_002,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X2 @ X1 )
      | ( ( app @ ( app @ X0 @ ( cons @ X1 @ nil ) ) @ X2 )
       != sk__6 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl43]) ).

thf(zip_derived_cl114,plain,
    ( ( sk__6 != sk__6 )
    | ~ ( ssItem @ sk__10 )
    | ~ ( ssList @ sk__12 )
    | ~ ( memberP @ sk__12 @ sk__10 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl112]) ).

thf(zip_derived_cl40_003,plain,
    ssItem @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39_004,plain,
    ssList @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_005,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121,plain,
    ( ( sk__6 != sk__6 )
    | ~ ( memberP @ sk__12 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl40,zip_derived_cl39,zip_derived_cl36]) ).

thf(zip_derived_cl122,plain,
    ~ ( memberP @ sk__12 @ sk__10 ),
    inference(simplify,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl124,plain,
    memberP @ sk__11 @ sk__10,
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl122]) ).

thf(zip_derived_cl201,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl124]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC185+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OMu7WNibiP true
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 14:52:40 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % 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
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.83/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.83/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.83/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.83/0.82  % Solved by fo/fo7.sh.
% 0.83/0.82  % done 39 iterations in 0.035s
% 0.83/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.83/0.82  % SZS output start Refutation
% See solution above
% 0.83/0.82  
% 0.83/0.82  
% 0.83/0.82  % Terminating...
% 1.43/0.86  % Runner terminated.
% 1.43/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------