TSTP Solution File: SWC364+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC364+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.KAB5ozP95K true

% Computer : n017.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 21:31:03 EDT 2023

% Result   : Theorem 1.15s 0.80s
% Output   : Refutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   54 (  19 unt;  12 typ;   0 def)
%            Number of atoms       :  109 (  24 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  282 (  53   ~;  47   |;   4   &; 162   @)
%                                         (   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   :   30 (   0   ^;  28   !;   2   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
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(sk__9_type,type,
    sk__9: $i ).

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

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

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

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

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

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

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

thf(zip_derived_cl11,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 @ ( cons @ Y @ nil ) @ W )
                             != 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 @ ( cons @ Y @ nil ) @ W )
                               != X ) )
                          | ( segmentP @ V @ U ) )
                        & ( ~ ( neq @ V @ nil )
                          | ( neq @ X @ nil ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl47,plain,
    ( ~ ( segmentP @ sk__7 @ sk__6 )
    | ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ( ~ ( segmentP @ sk__7 @ sk__6 )
    | ~ ( neq @ sk__9 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl318,plain,
    ( ~ ( segmentP @ sk__7 @ sk__6 )
    | ~ ( neq @ sk__7 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl49]) ).

thf(zip_derived_cl326,plain,
    ~ ( segmentP @ sk__7 @ sk__6 ),
    inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl318]) ).

thf(ax84,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ U @ nil )
        = U ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl46,plain,
    ( ( ( app @ ( cons @ sk__10 @ nil ) @ sk__8 )
      = sk__9 )
    | ~ ( neq @ sk__9 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_002,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ( ( neq @ sk__7 @ nil )
    | ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl359,plain,
    neq @ sk__7 @ nil,
    inference(simplify,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl382,plain,
    ( ( app @ ( cons @ sk__10 @ nil ) @ sk__6 )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl40,zip_derived_cl49,zip_derived_cl49,zip_derived_cl359]) ).

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_cl8,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_cl422,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__7 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__6 )
      | ~ ( ssList @ ( cons @ sk__10 @ nil ) )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl8]) ).

thf(zip_derived_cl38,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl432,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__7 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__6 )
      | ~ ( ssList @ ( cons @ sk__10 @ nil ) )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl38]) ).

thf(zip_derived_cl633,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ~ ( ssList @ sk__7 )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ ( cons @ sk__10 @ nil ) )
      | ( segmentP @ X0 @ sk__6 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl432]) ).

thf(zip_derived_cl50,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_003,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl49]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl12,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl637,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ~ ( ssList @ ( cons @ sk__10 @ nil ) )
      | ( segmentP @ X0 @ sk__6 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl633,zip_derived_cl305,zip_derived_cl12]) ).

thf(zip_derived_cl643,plain,
    ( ~ ( ssList @ sk__7 )
    | ~ ( ssList @ ( cons @ sk__10 @ nil ) )
    | ( sk__7 != sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl326,zip_derived_cl637]) ).

thf(zip_derived_cl305_004,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl49]) ).

thf(zip_derived_cl645,plain,
    ( ~ ( ssList @ ( cons @ sk__10 @ nil ) )
    | ( sk__7 != sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl643,zip_derived_cl305]) ).

thf(zip_derived_cl646,plain,
    ~ ( ssList @ ( cons @ sk__10 @ nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl645]) ).

thf(zip_derived_cl655,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl646]) ).

thf(zip_derived_cl12_005,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl43,plain,
    ( ( ssItem @ sk__10 )
    | ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ( ( ssItem @ sk__10 )
    | ~ ( neq @ sk__9 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_006,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ( ( ssItem @ sk__10 )
    | ~ ( neq @ sk__7 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl49]) ).

thf(zip_derived_cl321,plain,
    ssItem @ sk__10,
    inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl306]) ).

thf(zip_derived_cl656,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl12,zip_derived_cl321]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC364+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KAB5ozP95K true
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 16:24:27 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.15/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.15/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.15/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.15/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.15/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.15/0.80  % Solved by fo/fo3_bce.sh.
% 1.15/0.80  % BCE start: 52
% 1.15/0.80  % BCE eliminated: 0
% 1.15/0.80  % PE start: 52
% 1.15/0.80  logic: eq
% 1.15/0.80  % PE eliminated: 0
% 1.15/0.80  % done 78 iterations in 0.053s
% 1.15/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.15/0.80  % SZS output start Refutation
% See solution above
% 1.15/0.80  
% 1.15/0.80  
% 1.15/0.80  % Terminating...
% 1.54/0.88  % Runner terminated.
% 1.54/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------