TSTP Solution File: SWC256+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC256+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.3MQkVv6XCf true

% Computer : n020.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 21:30:17 EDT 2023

% Result   : Theorem 0.55s 0.78s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   41 (  14 unt;  12 typ;   0 def)
%            Number of atoms       :   76 (  31 equ;   0 cnn)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  155 (  39   ~;  29   |;   3   &;  69   @)
%                                         (   2 <=>;  13  =>;   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   :   20 (   0   ^;  19   !;   1   ?;  20   :)

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

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

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

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

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

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

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

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

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

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

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

thf(sk__9_type,type,
    sk__9: $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 )
                    | ( singletonP @ U )
                    | ( ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ( ( ( cons @ Y @ nil )
                             != W )
                            | ~ ( memberP @ X @ Y ) ) )
                      & ( ( nil != X )
                        | ( nil != W ) ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl49,plain,
    ( ( ( cons @ sk__11 @ nil )
      = sk__9 )
    | ( nil = sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl320,plain,
    ( ( ( cons @ sk__11 @ nil )
      = sk__7 )
    | ( nil = sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl46,zip_derived_cl53]) ).

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

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

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl307,plain,
    ( ~ ( ssList @ sk__8 )
    | ( sk__8 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl12]) ).

thf(zip_derived_cl317,plain,
    ( ( sk__8 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl307]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl15,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl318,plain,
    sk__8 != nil,
    inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl15]) ).

thf(zip_derived_cl321,plain,
    ( ( cons @ sk__11 @ nil )
    = sk__7 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl320,zip_derived_cl318]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( cons @ X1 @ nil )
       != X0 )
      | ~ ( ssItem @ X1 )
      | ( singletonP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl44,plain,
    ~ ( singletonP @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl311,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__7 )
      | ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__7 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl44]) ).

thf(zip_derived_cl42,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl336,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ nil )
       != sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl42]) ).

thf(zip_derived_cl337,plain,
    ( ( sk__7 != sk__7 )
    | ~ ( ssItem @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl336]) ).

thf(zip_derived_cl338,plain,
    ~ ( ssItem @ sk__11 ),
    inference(simplify,[status(thm)],[zip_derived_cl337]) ).

thf(zip_derived_cl51,plain,
    ( ( ssItem @ sk__11 )
    | ( nil = sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_001,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,plain,
    ( ( ssItem @ sk__11 )
    | ( nil = sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl53]) ).

thf(zip_derived_cl318_002,plain,
    sk__8 != nil,
    inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl15]) ).

thf(zip_derived_cl339,plain,
    ssItem @ sk__11,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl314,zip_derived_cl318]) ).

thf(zip_derived_cl341,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl339]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC256+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3MQkVv6XCf true
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Mon Aug 28 17:44:29 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.55/0.66  % Total configuration time : 435
% 0.55/0.66  % Estimated wc time : 1092
% 0.55/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.78  % Solved by fo/fo3_bce.sh.
% 0.55/0.78  % BCE start: 56
% 0.55/0.78  % BCE eliminated: 2
% 0.55/0.78  % PE start: 54
% 0.55/0.78  logic: eq
% 0.55/0.78  % PE eliminated: 2
% 0.55/0.78  % done 26 iterations in 0.029s
% 0.55/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.78  % SZS output start Refutation
% See solution above
% 0.55/0.78  
% 0.55/0.78  
% 0.55/0.78  % Terminating...
% 1.71/0.86  % Runner terminated.
% 1.71/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------