TSTP Solution File: SWC097+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC097+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.PsvAr4Wtq5 true

% Computer : n007.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 21:29:08 EDT 2023

% Result   : Theorem 0.53s 0.73s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   33 (  11 unt;  11 typ;   0 def)
%            Number of atoms       :   57 (  20 equ;   0 cnn)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  148 (  25   ~;  21   |;   4   &;  88   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 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   :   15 (   0   ^;  13   !;   2   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__8_type,type,
    sk__8: $i ).

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

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

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

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

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

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

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 )
                        | ? [Y: $i] :
                            ( ( ( app @ U @ ( cons @ Y @ nil ) )
                              = V )
                            & ( ssItem @ Y ) )
                        | ! [Z: $i] :
                            ( ( ssItem @ Z )
                           => ( ( app @ W @ ( cons @ Z @ nil ) )
                             != X ) ) )
                      & ( ~ ( neq @ V @ nil )
                        | ( neq @ X @ nil ) ) ) ) ) ) ) ) ).

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 )
                          | ? [Y: $i] :
                              ( ( ( app @ U @ ( cons @ Y @ nil ) )
                                = V )
                              & ( ssItem @ Y ) )
                          | ! [Z: $i] :
                              ( ( ssItem @ Z )
                             => ( ( app @ W @ ( cons @ Z @ nil ) )
                               != X ) ) )
                        & ( ~ ( neq @ V @ nil )
                          | ( neq @ X @ nil ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl37,plain,
    ( ( ( app @ sk__6 @ ( cons @ sk__8 @ nil ) )
      = sk__7 )
    | ~ ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    sk__4 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_001,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl239,plain,
    neq @ sk__5 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl258,plain,
    ( ( app @ sk__4 @ ( cons @ sk__8 @ nil ) )
    = sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl29,zip_derived_cl38,zip_derived_cl38,zip_derived_cl239]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( app @ sk__4 @ ( cons @ X0 @ nil ) )
       != sk__5 )
      | ~ ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_002,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl238,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( app @ sk__4 @ ( cons @ X0 @ nil ) )
       != sk__5 )
      | ~ ( neq @ sk__5 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl38]) ).

thf(zip_derived_cl239_003,plain,
    neq @ sk__5 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl240,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( app @ sk__4 @ ( cons @ X0 @ nil ) )
       != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl239]) ).

thf(zip_derived_cl261,plain,
    ( ( sk__5 != sk__5 )
    | ~ ( ssItem @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl240]) ).

thf(zip_derived_cl34,plain,
    ( ( ssItem @ sk__8 )
    | ( neq @ sk__5 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    ( ( ssItem @ sk__8 )
    | ~ ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_004,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215,plain,
    ( ( ssItem @ sk__8 )
    | ~ ( neq @ sk__5 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl38]) ).

thf(zip_derived_cl223,plain,
    ssItem @ sk__8,
    inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl215]) ).

thf(zip_derived_cl264,plain,
    sk__5 != sk__5,
    inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl223]) ).

thf(zip_derived_cl265,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl264]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC097+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PsvAr4Wtq5 true
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 18:47:28 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
% 0.13/0.34  % Running in FO mode
% 0.52/0.64  % Total configuration time : 435
% 0.52/0.64  % Estimated wc time : 1092
% 0.52/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.73  % Solved by fo/fo3_bce.sh.
% 0.53/0.73  % BCE start: 41
% 0.53/0.73  % BCE eliminated: 0
% 0.53/0.73  % PE start: 41
% 0.53/0.73  logic: eq
% 0.53/0.73  % PE eliminated: 0
% 0.53/0.73  % done 34 iterations in 0.019s
% 0.53/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.73  % SZS output start Refutation
% See solution above
% 0.53/0.73  
% 0.53/0.73  
% 0.53/0.73  % Terminating...
% 0.58/0.83  % Runner terminated.
% 0.58/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------