TSTP Solution File: SWC047+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC047+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.YZvyQphkQ7 true

% Computer : n014.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 21:28:45 EDT 2023

% Result   : Theorem 1.58s 0.80s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   45 (  16 unt;   8 typ;   0 def)
%            Number of atoms       :   98 (  37 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  196 (  43   ~;  41   |;   8   &;  92   @)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  19   !;   2   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nil_type,type,
    nil: $i ).

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

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

thf(sk__5_type,type,
    sk__5: $i ).

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

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

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

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ( X != W )
                    | ( ( ( nil != V )
                        | ( nil = U ) )
                      & ( ~ ( neq @ V @ nil )
                        | ? [Y: $i] :
                            ( ( rearsegP @ U @ Y )
                            & ( rearsegP @ V @ Y )
                            & ( neq @ Y @ nil )
                            & ( ssList @ 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 )
                      | ( X != W )
                      | ( ( ( nil != V )
                          | ( nil = U ) )
                        & ( ~ ( neq @ V @ nil )
                          | ? [Y: $i] :
                              ( ( rearsegP @ U @ Y )
                              & ( rearsegP @ V @ Y )
                              & ( neq @ Y @ nil )
                              & ( ssList @ Y ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl41,plain,
    ( ( nil != sk__5 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    ( ( nil != sk__5 )
    | ( neq @ sk__6 @ sk__5 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl45,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    sk__8 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    sk__8 = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl43]) ).

thf(zip_derived_cl52,plain,
    sk__6 = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl51]) ).

thf(zip_derived_cl56,plain,
    ( ( nil != sk__5 )
    | ( neq @ sk__5 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl52]) ).

thf(ax49,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( rearsegP @ U @ U ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( rearsegP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax49]) ).

thf(zip_derived_cl39,plain,
    ( ( nil = sk__6 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_001,plain,
    sk__6 = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl51]) ).

thf(zip_derived_cl52_002,plain,
    sk__6 = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl51]) ).

thf(zip_derived_cl60,plain,
    ( ( nil = sk__5 )
    | ( neq @ sk__5 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl52,zip_derived_cl52]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( nil = sk__6 )
      | ~ ( rearsegP @ sk__5 @ X0 )
      | ~ ( rearsegP @ sk__6 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_003,plain,
    sk__6 = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl51]) ).

thf(zip_derived_cl52_004,plain,
    sk__6 = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl51]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i] :
      ( ( nil = sk__5 )
      | ~ ( rearsegP @ sk__5 @ X0 )
      | ~ ( rearsegP @ sk__5 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl52,zip_derived_cl52]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( rearsegP @ sk__5 @ X0 )
      | ( nil = sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl98,plain,
    ( ( nil = sk__5 )
    | ( nil = sk__5 )
    | ~ ( rearsegP @ sk__5 @ sk__5 )
    | ~ ( ssList @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl97]) ).

thf(zip_derived_cl37,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl99,plain,
    ( ( nil = sk__5 )
    | ( nil = sk__5 )
    | ~ ( rearsegP @ sk__5 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl37]) ).

thf(zip_derived_cl100,plain,
    ( ~ ( rearsegP @ sk__5 @ sk__5 )
    | ( nil = sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl101,plain,
    ( ~ ( ssList @ sk__5 )
    | ( nil = sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl100]) ).

thf(zip_derived_cl37_005,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102,plain,
    nil = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl37]) ).

thf(zip_derived_cl113,plain,
    ( ( sk__5 != sk__5 )
    | ( neq @ sk__5 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl102]) ).

thf(zip_derived_cl114,plain,
    neq @ sk__5 @ sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl113]) ).

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

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ~ ( neq @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl119,plain,
    ~ ( ssList @ sk__5 ),
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl68]) ).

thf(zip_derived_cl37_006,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl37]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC047+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YZvyQphkQ7 true
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 18:44:16 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.58/0.80  % Solved by fo/fo7.sh.
% 1.58/0.80  % done 39 iterations in 0.021s
% 1.58/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.58/0.80  % SZS output start Refutation
% See solution above
% 1.58/0.80  
% 1.58/0.80  
% 1.58/0.80  % Terminating...
% 1.71/0.84  % Runner terminated.
% 1.71/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------