TSTP Solution File: SWC023+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC023+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.9T68mkGE2Y true

% Computer : n012.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 21:28:35 EDT 2023

% Result   : Theorem 0.22s 0.81s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   47 (  18 unt;   9 typ;   0 def)
%            Number of atoms       :  108 (  39 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  232 (  58   ~;  49   |;   8   &; 104   @)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  19   !;   2   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
    frontsegP: $i > $i > $o ).

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

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

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

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

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

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

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

thf(sk__6_type,type,
    sk__6: $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 )
                    | ? [Y: $i] :
                        ( ( frontsegP @ U @ Y )
                        & ( frontsegP @ V @ Y )
                        & ( neq @ Y @ nil )
                        & ( ssList @ Y ) )
                    | ( ! [Z: $i] :
                          ( ( ssList @ Z )
                         => ( ~ ( neq @ Z @ nil )
                            | ~ ( frontsegP @ X @ Z )
                            | ~ ( frontsegP @ W @ Z ) ) )
                      & ( ( nil != X )
                        | ( nil != 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 )
                      | ? [Y: $i] :
                          ( ( frontsegP @ U @ Y )
                          & ( frontsegP @ V @ Y )
                          & ( neq @ Y @ nil )
                          & ( ssList @ Y ) )
                      | ( ! [Z: $i] :
                            ( ( ssList @ Z )
                           => ( ~ ( neq @ Z @ nil )
                              | ~ ( frontsegP @ X @ Z )
                              | ~ ( frontsegP @ W @ Z ) ) )
                        & ( ( nil != X )
                          | ( nil != W ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl47,plain,
    ( ( frontsegP @ sk__8 @ sk__9 )
    | ( nil = sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_001,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380,plain,
    ( ( frontsegP @ sk__6 @ sk__9 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl53,zip_derived_cl53]) ).

thf(zip_derived_cl43,plain,
    neq @ sk__6 @ nil,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl335,plain,
    ( ~ ( ssList @ sk__6 )
    | ( sk__6 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl8]) ).

thf(zip_derived_cl353,plain,
    ( ( sk__6 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl335]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl354,plain,
    sk__6 != nil,
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl11]) ).

thf(zip_derived_cl381,plain,
    frontsegP @ sk__6 @ sk__9,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl380,zip_derived_cl354]) ).

thf(zip_derived_cl49,plain,
    ( ( neq @ sk__9 @ nil )
    | ( nil = sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ sk__5 @ X0 )
      | ~ ( frontsegP @ sk__6 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl343,plain,
    ! [X0: $i] :
      ( ( sk__9 != X0 )
      | ( nil != nil )
      | ( nil = sk__8 )
      | ~ ( ssList @ X0 )
      | ~ ( frontsegP @ sk__6 @ X0 )
      | ~ ( frontsegP @ sk__5 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl42]) ).

thf(zip_derived_cl551,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ sk__5 @ X0 )
      | ~ ( frontsegP @ sk__6 @ X0 )
      | ~ ( ssList @ X0 )
      | ( nil = sk__8 )
      | ( sk__9 != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl343]) ).

thf(zip_derived_cl53_002,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl552,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ sk__5 @ X0 )
      | ~ ( frontsegP @ sk__6 @ X0 )
      | ~ ( ssList @ X0 )
      | ( nil = sk__6 )
      | ( sk__9 != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl551,zip_derived_cl53]) ).

thf(zip_derived_cl354_003,plain,
    sk__6 != nil,
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl11]) ).

thf(zip_derived_cl553,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ sk__5 @ X0 )
      | ~ ( frontsegP @ sk__6 @ X0 )
      | ~ ( ssList @ X0 )
      | ( sk__9 != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl552,zip_derived_cl354]) ).

thf(zip_derived_cl561,plain,
    ( ( sk__9 != sk__9 )
    | ~ ( ssList @ sk__9 )
    | ~ ( frontsegP @ sk__5 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl553]) ).

thf(zip_derived_cl45,plain,
    ( ( frontsegP @ sk__7 @ sk__9 )
    | ( nil = sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_004,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl360,plain,
    ( ( frontsegP @ sk__5 @ sk__9 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl44,zip_derived_cl53]) ).

thf(zip_derived_cl354_005,plain,
    sk__6 != nil,
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl11]) ).

thf(zip_derived_cl361,plain,
    frontsegP @ sk__5 @ sk__9,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl360,zip_derived_cl354]) ).

thf(zip_derived_cl566,plain,
    ( ( sk__9 != sk__9 )
    | ~ ( ssList @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl561,zip_derived_cl361]) ).

thf(zip_derived_cl567,plain,
    ~ ( ssList @ sk__9 ),
    inference(simplify,[status(thm)],[zip_derived_cl566]) ).

thf(zip_derived_cl51,plain,
    ( ( ssList @ sk__9 )
    | ( nil = sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl53_006,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl352,plain,
    ( ( ssList @ sk__9 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl53]) ).

thf(zip_derived_cl354_007,plain,
    sk__6 != nil,
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl11]) ).

thf(zip_derived_cl574,plain,
    ssList @ sk__9,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl352,zip_derived_cl354]) ).

thf(zip_derived_cl624,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl574]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC023+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9T68mkGE2Y true
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 16:13:09 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/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
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.81  % Solved by fo/fo3_bce.sh.
% 0.22/0.81  % BCE start: 56
% 0.22/0.81  % BCE eliminated: 0
% 0.22/0.81  % PE start: 56
% 0.22/0.81  logic: eq
% 0.22/0.81  % PE eliminated: -3
% 0.22/0.81  % done 94 iterations in 0.044s
% 0.22/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.81  % SZS output start Refutation
% See solution above
% 0.22/0.81  
% 0.22/0.81  
% 0.22/0.82  % Terminating...
% 1.28/0.86  % Runner terminated.
% 1.28/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------