TSTP Solution File: SWC189+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC189+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.ubXqnMqrFY true

% Computer : n021.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 21:29:45 EDT 2023

% Result   : Theorem 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   65 (  24 equ;   0 cnn)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  186 (  26   ~;  24   |;  10   &; 110   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  24   !;   8   ?;  32   :)

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

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

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

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

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

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

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

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

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

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

thf(sk__8_type,type,
    sk__8: $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] :
                                ( ? [X2: $i] :
                                    ( ( ( app @ ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ ( cons @ Z @ nil ) ) @ X2 )
                                      = W )
                                    & ( Y != Z )
                                    & ( ssList @ X2 ) )
                                & ( ssList @ X1 ) )
                            & ( ssItem @ Z ) )
                        & ( ssItem @ Y ) )
                    | ! [X3: $i] :
                        ( ( ssItem @ X3 )
                       => ! [X4: $i] :
                            ( ( ssItem @ X4 )
                           => ! [X5: $i] :
                                ( ( ssList @ X5 )
                               => ! [X6: $i] :
                                    ( ( ssList @ X6 )
                                   => ( ( ( app @ ( app @ ( app @ X5 @ ( cons @ X3 @ nil ) ) @ ( cons @ X4 @ nil ) ) @ X6 )
                                       != U )
                                      | ( X3 = X4 ) ) ) ) ) ) ) ) ) ) ) ).

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] :
                                  ( ? [X2: $i] :
                                      ( ( ( app @ ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ ( cons @ Z @ nil ) ) @ X2 )
                                        = W )
                                      & ( Y != Z )
                                      & ( ssList @ X2 ) )
                                  & ( ssList @ X1 ) )
                              & ( ssItem @ Z ) )
                          & ( ssItem @ Y ) )
                      | ! [X3: $i] :
                          ( ( ssItem @ X3 )
                         => ! [X4: $i] :
                              ( ( ssItem @ X4 )
                             => ! [X5: $i] :
                                  ( ( ssList @ X5 )
                                 => ! [X6: $i] :
                                      ( ( ssList @ X6 )
                                     => ( ( ( app @ ( app @ ( app @ X5 @ ( cons @ X3 @ nil ) ) @ ( cons @ X4 @ nil ) ) @ X6 )
                                         != U )
                                        | ( X3 = X4 ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl27,plain,
    ( ( app @ ( app @ ( app @ sk__10 @ ( cons @ sk__8 @ nil ) ) @ ( cons @ sk__9 @ nil ) ) @ sk__11 )
    = sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ ( app @ ( app @ X2 @ ( cons @ X3 @ nil ) ) @ ( cons @ X0 @ nil ) ) @ X1 )
       != sk__6 )
      | ( X3 = X0 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl416,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ ( app @ ( app @ X2 @ ( cons @ X3 @ nil ) ) @ ( cons @ X0 @ nil ) ) @ X1 )
       != sk__4 )
      | ( X3 = X0 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl32]) ).

thf(zip_derived_cl420,plain,
    ( ( sk__4 != sk__4 )
    | ~ ( ssItem @ sk__8 )
    | ~ ( ssList @ sk__10 )
    | ( sk__8 = sk__9 )
    | ~ ( ssList @ sk__11 )
    | ~ ( ssItem @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl416]) ).

thf(zip_derived_cl30,plain,
    ssItem @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ssItem @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl431,plain,
    ( ( sk__4 != sk__4 )
    | ( sk__8 = sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl30,zip_derived_cl29,zip_derived_cl26,zip_derived_cl25]) ).

thf(zip_derived_cl432,plain,
    sk__8 = sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl431]) ).

thf(zip_derived_cl28,plain,
    sk__8 != sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl433,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl432,zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC189+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ubXqnMqrFY true
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 17:30:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.48/0.61  % Total configuration time : 435
% 0.48/0.61  % Estimated wc time : 1092
% 0.48/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.76  % Solved by fo/fo3_bce.sh.
% 0.54/0.76  % BCE start: 36
% 0.54/0.76  % BCE eliminated: 0
% 0.54/0.76  % PE start: 36
% 0.54/0.76  logic: eq
% 0.54/0.76  % PE eliminated: 0
% 0.54/0.76  % done 49 iterations in 0.044s
% 0.54/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.76  % SZS output start Refutation
% See solution above
% 0.54/0.76  
% 0.54/0.76  
% 0.54/0.76  % Terminating...
% 0.56/0.83  % Runner terminated.
% 0.56/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------