TSTP Solution File: SWC122+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC122+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.38xroJ2WDX true

% Computer : n008.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 21:29:18 EDT 2023

% Result   : Theorem 0.56s 0.93s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   56 (  26 unt;  11 typ;   0 def)
%            Number of atoms       :  115 (  26 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  280 (  49   ~;  46   |;   9   &; 161   @)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  28   !;   3   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__48_type,type,
    sk__48: $i ).

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

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

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

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

thf(rearsegP_type,type,
    rearsegP: $i > $i > $o ).

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

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

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

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

thf(sk__50_type,type,
    sk__50: $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 )
                    | ( ( nil != W )
                      & ( nil = X ) )
                    | ( ( neq @ U @ nil )
                      & ( segmentP @ V @ U ) )
                    | ( ( neq @ X @ nil )
                      & ( ~ ( neq @ W @ nil )
                        | ~ ( rearsegP @ X @ 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 )
                      | ( ( nil != W )
                        & ( nil = X ) )
                      | ( ( neq @ U @ nil )
                        & ( segmentP @ V @ U ) )
                      | ( ( neq @ X @ nil )
                        & ( ~ ( neq @ W @ nil )
                          | ~ ( rearsegP @ X @ W ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl192,plain,
    ( ~ ( neq @ sk__47 @ nil )
    | ~ ( segmentP @ sk__48 @ sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl195,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( neq @ sk__49 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl194,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204,plain,
    neq @ sk__47 @ nil,
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl198,zip_derived_cl193,zip_derived_cl194]) ).

thf(zip_derived_cl205,plain,
    ~ ( segmentP @ sk__48 @ sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl204]) ).

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

thf(zip_derived_cl176,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl196,plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( rearsegP @ sk__50 @ sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193_002,plain,
    neq @ sk__48 @ nil,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198_003,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194_004,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206,plain,
    rearsegP @ sk__48 @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl198,zip_derived_cl193,zip_derived_cl198,zip_derived_cl194]) ).

thf(ax6,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( rearsegP @ U @ V )
          <=> ? [W: $i] :
                ( ( ( app @ W @ V )
                  = U )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ( app @ ( sk__6 @ X0 @ X1 ) @ X0 )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl349,plain,
    ( ~ ( ssList @ sk__47 )
    | ( ( app @ ( sk__6 @ sk__47 @ sk__48 ) @ sk__47 )
      = sk__48 )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl15]) ).

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

thf(zip_derived_cl199,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198_005,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl202,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl198]) ).

thf(zip_derived_cl355,plain,
    ( ( app @ ( sk__6 @ sk__47 @ sk__48 ) @ sk__47 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl190,zip_derived_cl202]) ).

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_cl515,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ sk__47 )
      | ~ ( ssList @ X1 )
      | ( ( app @ sk__48 @ X1 )
       != X0 )
      | ~ ( ssList @ ( sk__6 @ sk__47 @ sk__48 ) )
      | ( segmentP @ X0 @ sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl21]) ).

thf(zip_derived_cl190_006,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206_007,plain,
    rearsegP @ sk__48 @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl198,zip_derived_cl193,zip_derived_cl198,zip_derived_cl194]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ssList @ ( sk__6 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl383,plain,
    ( ~ ( ssList @ sk__47 )
    | ( ssList @ ( sk__6 @ sk__47 @ sk__48 ) )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl16]) ).

thf(zip_derived_cl190_008,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl202_009,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl198]) ).

thf(zip_derived_cl388,plain,
    ssList @ ( sk__6 @ sk__47 @ sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl190,zip_derived_cl202]) ).

thf(zip_derived_cl525,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ( ( app @ sk__48 @ X1 )
       != X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl515,zip_derived_cl190,zip_derived_cl388]) ).

thf(zip_derived_cl643,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__48 )
      | ~ ( ssList @ nil )
      | ( sk__48 != X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl525]) ).

thf(zip_derived_cl202_010,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl198]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl645,plain,
    ! [X0: $i] :
      ( ( sk__48 != X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl643,zip_derived_cl202,zip_derived_cl83]) ).

thf(zip_derived_cl646,plain,
    ( ~ ( ssList @ sk__48 )
    | ( segmentP @ sk__48 @ sk__47 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl645]) ).

thf(zip_derived_cl202_011,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl198]) ).

thf(zip_derived_cl647,plain,
    segmentP @ sk__48 @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl646,zip_derived_cl202]) ).

thf(zip_derived_cl648,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl647]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC122+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.38xroJ2WDX true
% 0.13/0.35  % Computer : n008.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 18:59:02 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
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.93  % Solved by fo/fo13.sh.
% 0.56/0.93  % done 226 iterations in 0.157s
% 0.56/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.93  % SZS output start Refutation
% See solution above
% 0.56/0.93  
% 0.56/0.93  
% 0.56/0.93  % Terminating...
% 1.58/1.00  % Runner terminated.
% 1.58/1.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------