TSTP Solution File: SWC086+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC086+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.VypDyC2DJW true

% Computer : n018.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 21:29:03 EDT 2023

% Result   : Theorem 1.04s 0.78s
% Output   : Refutation 1.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   51 (  20 unt;   8 typ;   0 def)
%            Number of atoms       :  117 (  43 equ;   0 cnn)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  251 (  67   ~;  54   |;   8   &; 110   @)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   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   :   23 (   0   ^;  21   !;   2   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nil_type,type,
    nil: $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(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__6_type,type,
    sk__6: $i ).

thf(ax55,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( segmentP @ U @ U ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( segmentP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax55]) ).

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

thf(zip_derived_cl46,plain,
    ( ( nil = sk__8 )
    | ( segmentP @ sk__9 @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_001,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl330,plain,
    ( ( nil = sk__6 )
    | ( segmentP @ sk__7 @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl42,zip_derived_cl47,zip_derived_cl42]) ).

thf(zip_derived_cl43,plain,
    ( ( nil = sk__9 )
    | ( neq @ sk__8 @ 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_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl308,plain,
    ( ( nil = sk__9 )
    | ~ ( ssList @ sk__8 )
    | ( sk__8 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl9]) ).

thf(zip_derived_cl327,plain,
    ( ( nil = sk__9 )
    | ( sk__8 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl308]) ).

thf(zip_derived_cl47_002,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_003,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl328,plain,
    ( ( nil = sk__7 )
    | ( sk__6 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl47,zip_derived_cl42,zip_derived_cl12]) ).

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

thf(zip_derived_cl9_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl303,plain,
    ( ~ ( ssList @ sk__7 )
    | ( sk__7 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl9]) ).

thf(zip_derived_cl321,plain,
    ( ( sk__7 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl303]) ).

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

thf(zip_derived_cl322,plain,
    sk__7 != nil,
    inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl12]) ).

thf(zip_derived_cl329,plain,
    sk__6 != nil,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl328,zip_derived_cl322]) ).

thf(zip_derived_cl331,plain,
    segmentP @ sk__7 @ sk__6,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl330,zip_derived_cl329]) ).

thf(zip_derived_cl43_006,plain,
    ( ( nil = sk__9 )
    | ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl311,plain,
    ! [X0: $i] :
      ( ( sk__8 != X0 )
      | ( nil != nil )
      | ( nil = sk__9 )
      | ~ ( ssList @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( segmentP @ sk__6 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).

thf(zip_derived_cl420,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( ssList @ X0 )
      | ( nil = sk__9 )
      | ( sk__8 != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl311]) ).

thf(zip_derived_cl47_007,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_008,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl421,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( ssList @ X0 )
      | ( nil = sk__7 )
      | ( sk__6 != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl47,zip_derived_cl42]) ).

thf(zip_derived_cl322_009,plain,
    sk__7 != nil,
    inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl12]) ).

thf(zip_derived_cl422,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( ssList @ X0 )
      | ( sk__6 != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl421,zip_derived_cl322]) ).

thf(zip_derived_cl428,plain,
    ( ( sk__6 != sk__6 )
    | ~ ( ssList @ sk__6 )
    | ~ ( segmentP @ sk__6 @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl422]) ).

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

thf(zip_derived_cl433,plain,
    ( ( sk__6 != sk__6 )
    | ~ ( segmentP @ sk__6 @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl38]) ).

thf(zip_derived_cl434,plain,
    ~ ( segmentP @ sk__6 @ sk__6 ),
    inference(simplify,[status(thm)],[zip_derived_cl433]) ).

thf(zip_derived_cl465,plain,
    ~ ( ssList @ sk__6 ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl434]) ).

thf(zip_derived_cl38_010,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl466,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl465,zip_derived_cl38]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC086+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VypDyC2DJW true
% 0.14/0.35  % Computer : n018.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 16:15:17 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % 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
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 1.04/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.04/0.78  % Solved by fo/fo3_bce.sh.
% 1.04/0.78  % BCE start: 50
% 1.04/0.78  % BCE eliminated: 0
% 1.04/0.78  % PE start: 50
% 1.04/0.78  logic: eq
% 1.04/0.78  % PE eliminated: -1
% 1.04/0.78  % done 51 iterations in 0.034s
% 1.04/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.04/0.78  % SZS output start Refutation
% See solution above
% 1.04/0.78  
% 1.04/0.78  
% 1.04/0.78  % Terminating...
% 1.50/0.85  % Runner terminated.
% 1.50/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------