TSTP Solution File: SWC200+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC200+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.ZoZWXect8r true

% Computer : n016.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 21:29:49 EDT 2023

% Result   : Theorem 0.57s 0.82s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   47 (  16 unt;  10 typ;   0 def)
%            Number of atoms       :   97 (  26 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  222 (  43   ~;  40   |;   3   &; 119   @)
%                                         (   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     :   12 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  31   !;   3   ?;  34   :)

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

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

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

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

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

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

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

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

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

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ~ ( singletonP @ W )
                    | ? [Y: $i] :
                        ( ! [Z: $i] :
                            ( ( ssItem @ Z )
                           => ( ~ ( memberP @ U @ Z )
                              | ( Y = Z ) ) )
                        & ( ssItem @ Y ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl43,plain,
    singletonP @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( singletonP @ X0 )
      | ( ssItem @ ( sk__4 @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl281,plain,
    ( ~ ( ssList @ sk__9 )
    | ( ssItem @ ( sk__4 @ sk__9 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl8]) ).

thf(zip_derived_cl44,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl289,plain,
    ssItem @ ( sk__4 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl44,zip_derived_cl38,zip_derived_cl44]) ).

thf(zip_derived_cl43_002,plain,
    singletonP @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( singletonP @ X0 )
      | ( ( cons @ ( sk__4 @ X0 ) @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl282,plain,
    ( ~ ( ssList @ sk__9 )
    | ( ( cons @ ( sk__4 @ sk__9 ) @ nil )
      = sk__9 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl9]) ).

thf(zip_derived_cl44_003,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_004,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_005,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_006,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ( ( cons @ ( sk__4 @ sk__7 ) @ nil )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl282,zip_derived_cl44,zip_derived_cl38,zip_derived_cl44,zip_derived_cl44]) ).

thf(ax37,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( cons @ V @ W ) @ U )
              <=> ( ( U = V )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ ( cons @ X0 @ X1 ) @ X2 )
      | ( X2 = X0 )
      | ( memberP @ X1 @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[ax37]) ).

thf(zip_derived_cl838,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__7 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ nil )
      | ( memberP @ nil @ X0 )
      | ( X0
        = ( sk__4 @ sk__7 ) )
      | ~ ( ssItem @ ( sk__4 @ sk__7 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl25]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl289_007,plain,
    ssItem @ ( sk__4 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl44,zip_derived_cl38,zip_derived_cl44]) ).

thf(zip_derived_cl846,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ sk__7 @ X0 )
      | ~ ( ssItem @ X0 )
      | ( memberP @ nil @ X0 )
      | ( X0
        = ( sk__4 @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl838,zip_derived_cl11,zip_derived_cl289]) ).

thf(ax38,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ~ ( memberP @ nil @ U ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ nil @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax38]) ).

thf(zip_derived_cl849,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__4 @ sk__7 ) )
      | ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__7 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl846,zip_derived_cl28]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__7 @ ( sk__11 @ X0 ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl851,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ ( sk__11 @ X0 ) )
      | ( ( sk__11 @ X0 )
        = ( sk__4 @ sk__7 ) )
      | ~ ( ssItem @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl849,zip_derived_cl41]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ( ssItem @ ( sk__11 @ X0 ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl858,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( sk__11 @ X0 )
        = ( sk__4 @ sk__7 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl851,zip_derived_cl42]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( X0
       != ( sk__11 @ X0 ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl859,plain,
    ! [X0: $i] :
      ( ( X0
       != ( sk__4 @ sk__7 ) )
      | ~ ( ssItem @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl858,zip_derived_cl40]) ).

thf(zip_derived_cl862,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ( X0
       != ( sk__4 @ sk__7 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl859]) ).

thf(zip_derived_cl868,plain,
    ( ( sk__4 @ sk__7 )
   != ( sk__4 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl862]) ).

thf(zip_derived_cl871,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl868]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC200+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.ZoZWXect8r true
% 0.13/0.35  % Computer : n016.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 18:05:59 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.66  % Total configuration time : 435
% 0.56/0.66  % Estimated wc time : 1092
% 0.56/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.82  % Solved by fo/fo3_bce.sh.
% 0.57/0.82  % BCE start: 48
% 0.57/0.82  % BCE eliminated: 0
% 0.57/0.82  % PE start: 48
% 0.57/0.82  logic: eq
% 0.57/0.82  % PE eliminated: -1
% 0.57/0.82  % done 129 iterations in 0.076s
% 0.57/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.82  % SZS output start Refutation
% See solution above
% 0.57/0.82  
% 0.57/0.82  
% 0.57/0.82  % Terminating...
% 1.61/0.86  % Runner terminated.
% 1.62/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------