TSTP Solution File: SWC205+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC205+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.Lnys36cL5z true

% Computer : n029.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 21:29:52 EDT 2023

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (  12 unt;   7 typ;   0 def)
%            Number of atoms       :   57 (  30 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   97 (  27   ~;  20   |;   4   &;  35   @)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $i ).

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

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

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

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

thf(neq_type,type,
    neq: $i > $i > $o ).

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

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ~ ( neq @ V @ nil )
                    | ( neq @ U @ nil )
                    | ( ( nil != X )
                      & ( nil = W ) )
                    | ( ( nil != W )
                      & ( nil = X ) ) ) ) ) ) ) ).

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 )
                      | ~ ( neq @ V @ nil )
                      | ( neq @ U @ nil )
                      | ( ( nil != X )
                        & ( nil = W ) )
                      | ( ( nil != W )
                        & ( nil = X ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl29,plain,
    ~ ( neq @ sk__4 @ nil ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190,plain,
    ( ~ ( ssList @ sk__4 )
    | ( sk__4 = nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl29]) ).

thf(zip_derived_cl27,plain,
    ssList @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl8,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl215,plain,
    sk__4 = nil,
    inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl27,zip_derived_cl8]) ).

thf(zip_derived_cl33,plain,
    ( ( nil = sk__7 )
    | ( nil != sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201,plain,
    ( ( nil = sk__7 )
    | ( nil != sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl31]) ).

thf(zip_derived_cl34,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205,plain,
    ( ( sk__5 = nil )
    | ( nil != sk__4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl34]) ).

thf(zip_derived_cl30,plain,
    neq @ sk__5 @ nil,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29_001,plain,
    ~ ( neq @ sk__4 @ nil ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195,plain,
    ( ( sk__5 != sk__4 )
    | ( nil != nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl29]) ).

thf(zip_derived_cl196,plain,
    sk__5 != sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl195]) ).

thf(zip_derived_cl206,plain,
    ( ( nil != sk__4 )
    | ( nil != sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl196]) ).

thf(zip_derived_cl209,plain,
    nil != sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl206]) ).

thf(zip_derived_cl216,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl215,zip_derived_cl209]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC205+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Lnys36cL5z true
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 18:49:11 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.57/0.67  % Total configuration time : 435
% 0.57/0.67  % Estimated wc time : 1092
% 0.57/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77  % Solved by fo/fo3_bce.sh.
% 0.58/0.77  % BCE start: 37
% 0.58/0.77  % BCE eliminated: 0
% 0.58/0.77  % PE start: 37
% 0.58/0.77  logic: eq
% 0.58/0.77  % PE eliminated: 1
% 0.58/0.77  % done 22 iterations in 0.015s
% 0.58/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.77  % SZS output start Refutation
% See solution above
% 0.58/0.77  
% 0.58/0.77  
% 0.58/0.77  % Terminating...
% 0.63/0.87  % Runner terminated.
% 0.63/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------