TSTP Solution File: SWC355+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC355+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.HLSFJmhijD 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 21:30:58 EDT 2023

% Result   : Theorem 0.54s 0.81s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   55 (  18 unt;  12 typ;   0 def)
%            Number of atoms       :  119 (  28 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  304 (  60   ~;  56   |;   4   &; 168   @)
%                                         (   1 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   37 (   0   ^;  35   !;   2   ?;  37   :)

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

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

thf(app_type,type,
    app: $i > $i > $i ).

thf(sk__49_type,type,
    sk__49: $i ).

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

thf(sk__47_type,type,
    sk__47: $i ).

thf(sk__51_type,type,
    sk__51: $i ).

thf(sk__50_type,type,
    sk__50: $i ).

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

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

thf(segmentP_type,type,
    segmentP: $i > $i > $o ).

thf(sk__48_type,type,
    sk__48: $i ).

thf(ax16,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ssList @ ( cons @ V @ U ) ) ) ) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

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

thf(zip_derived_cl198,plain,
    ( ( ( app @ sk__49 @ ( cons @ sk__51 @ nil ) )
      = sk__50 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1580,plain,
    ( ( ( app @ sk__47 @ ( cons @ sk__51 @ nil ) )
      = sk__48 )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl192,zip_derived_cl201,zip_derived_cl201]) ).

thf(zip_derived_cl193,plain,
    ( ( neq @ sk__48 @ nil )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1645,plain,
    neq @ sk__48 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl193]) ).

thf(zip_derived_cl1646,plain,
    ( ( app @ sk__47 @ ( cons @ sk__51 @ nil ) )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl1580,zip_derived_cl1645]) ).

thf(ax28,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ nil @ U )
        = U ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(ax7,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( segmentP @ U @ V )
          <=> ? [W: $i] :
                ( ? [X: $i] :
                    ( ( ( app @ ( app @ W @ V ) @ X )
                      = U )
                    & ( ssList @ X ) )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ ( app @ X3 @ X0 ) @ X1 )
       != X2 )
      | ~ ( ssList @ X3 )
      | ( segmentP @ X2 @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl1679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ nil )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl21]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl83,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1679,zip_derived_cl83]) ).

thf(zip_derived_cl1690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1689]) ).

thf(zip_derived_cl1764,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ ( cons @ sk__51 @ nil ) )
      | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1646,zip_derived_cl1690]) ).

thf(zip_derived_cl190,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1773,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ ( cons @ sk__51 @ nil ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1764,zip_derived_cl190]) ).

thf(zip_derived_cl1774,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ nil )
      | ~ ( ssItem @ sk__51 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ( sk__48 != X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl1773]) ).

thf(zip_derived_cl83_002,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl196,plain,
    ( ( ssItem @ sk__51 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201_003,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1559,plain,
    ( ( ssItem @ sk__51 )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl201]) ).

thf(zip_derived_cl195,plain,
    ( ( ssItem @ sk__51 )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1560,plain,
    ssItem @ sk__51,
    inference(clc,[status(thm)],[zip_derived_cl1559,zip_derived_cl195]) ).

thf(zip_derived_cl1775,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ( sk__48 != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1774,zip_derived_cl83,zip_derived_cl1560]) ).

thf(zip_derived_cl199,plain,
    ( ~ ( segmentP @ sk__48 @ sk__47 )
    | ( neq @ sk__48 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200,plain,
    ( ~ ( segmentP @ sk__48 @ sk__47 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201_004,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1565,plain,
    ( ~ ( segmentP @ sk__48 @ sk__47 )
    | ~ ( neq @ sk__48 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl201]) ).

thf(zip_derived_cl1568,plain,
    ~ ( segmentP @ sk__48 @ sk__47 ),
    inference(clc,[status(thm)],[zip_derived_cl199,zip_derived_cl1565]) ).

thf(zip_derived_cl1778,plain,
    ( ( sk__48 != sk__48 )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1775,zip_derived_cl1568]) ).

thf(zip_derived_cl202,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201_005,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1557,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).

thf(zip_derived_cl1780,plain,
    sk__48 != sk__48,
    inference(demod,[status(thm)],[zip_derived_cl1778,zip_derived_cl1557]) ).

thf(zip_derived_cl1781,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1780]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC355+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HLSFJmhijD 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
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Aug 28 16:01:28 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
% 0.53/0.63  % Total configuration time : 435
% 0.53/0.63  % Estimated wc time : 1092
% 0.53/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 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/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/fo4.sh running for 50s
% 0.54/0.81  % Solved by fo/fo6_bce.sh.
% 0.54/0.81  % BCE start: 204
% 0.54/0.81  % BCE eliminated: 2
% 0.54/0.81  % PE start: 202
% 0.54/0.81  logic: eq
% 0.54/0.81  % PE eliminated: 6
% 0.54/0.81  % done 104 iterations in 0.117s
% 0.54/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.81  % SZS output start Refutation
% See solution above
% 0.54/0.81  
% 0.54/0.81  
% 0.54/0.81  % Terminating...
% 0.54/0.84  % Runner terminated.
% 0.54/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------