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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC037+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g6TO03OmOJ true

% Computer : n001.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 Oct  2 04:58:21 PM UTC 2025

% Result   : Theorem 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   31 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   79 (  39 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  136 (  35   ~;  31   |;   2   &;  53   @)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% 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__10_type,type,
    sk__10: $i ).

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

thf(ax58,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( segmentP @ nil @ U )
      <=> ( nil = U ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ nil @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax58]) ).

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

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

thf(zip_derived_cl51,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    nil = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl278,plain,
    nil = sk__9,
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl42]) ).

thf(zip_derived_cl41,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ( ( segmentP @ nil @ sk__10 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl278,zip_derived_cl41]) ).

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

thf(zip_derived_cl313,plain,
    segmentP @ nil @ sk__10,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl312,zip_derived_cl40]) ).

thf(zip_derived_cl315,plain,
    ( ~ ( ssList @ sk__10 )
    | ( nil = sk__10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl313]) ).

thf(zip_derived_cl50,plain,
    ( ( ssList @ sk__10 )
    | ( nil = sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41_001,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl284,plain,
    ( ( ssList @ sk__10 )
    | ( nil = sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl41]) ).

thf(zip_derived_cl40_002,plain,
    nil != sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl285,plain,
    ssList @ sk__10,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl284,zip_derived_cl40]) ).

thf(zip_derived_cl316,plain,
    nil = sk__10,
    inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl285]) ).

thf(zip_derived_cl48,plain,
    ( ( neq @ sk__10 @ nil )
    | ( nil = sk__8 ) ),
    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_cl277,plain,
    ( ( nil = sk__8 )
    | ~ ( ssList @ sk__10 )
    | ( sk__10 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl9]) ).

thf(zip_derived_cl303,plain,
    ( ( nil = sk__8 )
    | ( sk__10 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl277]) ).

thf(zip_derived_cl41_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_cl304,plain,
    ( ( nil = sk__6 )
    | ( sk__10 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl41,zip_derived_cl12]) ).

thf(zip_derived_cl40_004,plain,
    nil != sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    sk__10 != nil,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl304,zip_derived_cl40]) ).

thf(zip_derived_cl317,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl316,zip_derived_cl305]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC037+1 : TPTP v9.2.0. 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.g6TO03OmOJ true
% 0.13/0.35  % Computer : n001.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 : Wed Oct  1 17:12:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/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
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.80  % Solved by fo/fo3_bce.sh.
% 0.57/0.80  % BCE start: 54
% 0.57/0.80  % BCE eliminated: 2
% 0.57/0.80  % PE start: 52
% 0.57/0.80  logic: eq
% 0.57/0.80  % PE eliminated: 0
% 0.57/0.80  % done 28 iterations in 0.028s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% See solution above
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 1.67/0.87  % Runner terminated.
% 1.67/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------