TSTP Solution File: SWC254+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC254+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.YMBULBpP5a true

% Computer : n019.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 21:30:16 EDT 2023

% Result   : Theorem 1.09s 0.79s
% Output   : Refutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   48 (  18 unt;  12 typ;   0 def)
%            Number of atoms       :   93 (  26 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  217 (  44   ~;  37   |;   3   &; 116   @)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  21   !;   1   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__7_type,type,
    sk__7: $i ).

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

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

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

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

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(singletonP_type,type,
    singletonP: $i > $o ).

thf(sk__5_type,type,
    sk__5: $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] :
                            ( ( ssItem @ Y )
                           => ! [Z: $i] :
                                ( ( ssList @ Z )
                               => ( ( ( cons @ Y @ nil )
                                   != W )
                                  | ( ( app @ Z @ ( cons @ Y @ nil ) )
                                   != X ) ) ) )
                        | ( singletonP @ U ) )
                      & ( ~ ( 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] :
                              ( ( ssItem @ Y )
                             => ! [Z: $i] :
                                  ( ( ssList @ Z )
                                 => ( ( ( cons @ Y @ nil )
                                     != W )
                                    | ( ( app @ Z @ ( cons @ Y @ nil ) )
                                     != X ) ) ) )
                          | ( singletonP @ U ) )
                        & ( ~ ( neq @ V @ nil )
                          | ( neq @ X @ nil ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl34,plain,
    ( ( neq @ sk__6 @ nil )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl338,plain,
    neq @ sk__6 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl39,plain,
    ( ( ( cons @ sk__9 @ nil )
      = sk__7 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl274,plain,
    ( ( ( cons @ sk__9 @ nil )
      = sk__5 )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl33,zip_derived_cl46]) ).

thf(ax4,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( singletonP @ U )
      <=> ? [V: $i] :
            ( ( ( cons @ V @ nil )
              = U )
            & ( ssItem @ V ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cons @ X1 @ nil )
       != X0 )
      | ~ ( ssItem @ X1 )
      | ( singletonP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( singletonP @ sk__5 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__5 )
      | ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__5 )
      | ~ ( neq @ sk__8 @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl45]) ).

thf(zip_derived_cl31,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_001,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl272,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__5 )
      | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl31,zip_derived_cl46]) ).

thf(zip_derived_cl278,plain,
    ( ( sk__5 != sk__5 )
    | ~ ( neq @ sk__6 @ nil )
    | ~ ( neq @ sk__6 @ nil )
    | ~ ( ssItem @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl272]) ).

thf(zip_derived_cl36,plain,
    ( ( ssItem @ sk__9 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ( ( ssItem @ sk__9 )
    | ~ ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_002,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl259,plain,
    ( ( ssItem @ sk__9 )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl46]) ).

thf(zip_derived_cl273,plain,
    ssItem @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl259]) ).

thf(zip_derived_cl282,plain,
    ( ( sk__5 != sk__5 )
    | ~ ( neq @ sk__6 @ nil )
    | ~ ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl273]) ).

thf(zip_derived_cl283,plain,
    ~ ( neq @ sk__6 @ nil ),
    inference(simplify,[status(thm)],[zip_derived_cl282]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl293,plain,
    ( ~ ( ssList @ sk__6 )
    | ( sk__6 = nil )
    | ~ ( ssList @ nil ) ),
    inference('sup+',[status(thm)],[zip_derived_cl283,zip_derived_cl9]) ).

thf(zip_derived_cl47,plain,
    ssList @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_003,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl257,plain,
    ssList @ sk__6,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl46]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl11,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl295,plain,
    sk__6 = nil,
    inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl257,zip_derived_cl11]) ).

thf(zip_derived_cl283_004,plain,
    ~ ( neq @ sk__6 @ nil ),
    inference(simplify,[status(thm)],[zip_derived_cl282]) ).

thf(zip_derived_cl295_005,plain,
    sk__6 = nil,
    inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl257,zip_derived_cl11]) ).

thf(zip_derived_cl300,plain,
    ~ ( neq @ nil @ nil ),
    inference(demod,[status(thm)],[zip_derived_cl283,zip_derived_cl295]) ).

thf(zip_derived_cl339,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl295,zip_derived_cl300]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC254+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.YMBULBpP5a true
% 0.13/0.35  % Computer : n019.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 16:13:28 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
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.09/0.79  % Solved by fo/fo3_bce.sh.
% 1.09/0.79  % BCE start: 49
% 1.09/0.79  % BCE eliminated: 0
% 1.09/0.79  % PE start: 49
% 1.09/0.79  logic: eq
% 1.09/0.79  % PE eliminated: 1
% 1.09/0.79  % done 45 iterations in 0.023s
% 1.09/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.09/0.79  % SZS output start Refutation
% See solution above
% 1.09/0.79  
% 1.09/0.79  
% 1.09/0.79  % Terminating...
% 1.64/0.86  % Runner terminated.
% 1.64/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------