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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC209+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jcJnxbleyS true

% Computer : n021.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 04:58:58 PM UTC 2025

% Result   : Theorem 0.58s 0.79s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   25 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   59 (  36 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  101 (  31   ~;  24   |;   2   &;  36   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

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

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

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

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

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

thf(zip_derived_cl40,plain,
    ~ ( neq @ sk__6 @ nil ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl310,plain,
    ( ( sk__8 != sk__6 )
    | ( nil != nil )
    | ( nil = sk__8 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl40]) ).

thf(zip_derived_cl320,plain,
    ( ( nil = sk__8 )
    | ( sk__8 != sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl310]) ).

thf(zip_derived_cl321,plain,
    ( ( nil = sk__6 )
    | ( sk__8 != sk__6 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl320]) ).

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

thf(zip_derived_cl322,plain,
    ( ( nil = sk__6 )
    | ( sk__6 != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl42]) ).

thf(zip_derived_cl323,plain,
    nil = sk__6,
    inference(simplify,[status(thm)],[zip_derived_cl322]) ).

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

thf(zip_derived_cl40_001,plain,
    ~ ( neq @ sk__6 @ nil ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl300,plain,
    ( ( sk__7 != sk__6 )
    | ( nil != nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl40]) ).

thf(zip_derived_cl311,plain,
    sk__7 != sk__6,
    inference(simplify,[status(thm)],[zip_derived_cl300]) ).

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

thf(zip_derived_cl43,plain,
    ( ( nil = sk__9 )
    | ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40_002,plain,
    ~ ( neq @ sk__6 @ nil ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ( ( sk__8 != sk__6 )
    | ( nil != nil )
    | ( nil = sk__9 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).

thf(zip_derived_cl314,plain,
    ( ( nil = sk__9 )
    | ( sk__8 != sk__6 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl305]) ).

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

thf(zip_derived_cl315,plain,
    ( ( nil = sk__9 )
    | ( sk__6 != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl314,zip_derived_cl42]) ).

thf(zip_derived_cl316,plain,
    nil = sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl315]) ).

thf(zip_derived_cl317,plain,
    sk__7 = nil,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl316]) ).

thf(zip_derived_cl318,plain,
    nil != sk__6,
    inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl317]) ).

thf(zip_derived_cl324,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl323,zip_derived_cl318]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC209+1 : TPTP v9.2.0. Released v2.4.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jcJnxbleyS true
% 0.14/0.35  % Computer : n021.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 : Wed Oct  1 17:09:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79  % Solved by fo/fo3_bce.sh.
% 0.58/0.79  % BCE start: 50
% 0.58/0.79  % BCE eliminated: 0
% 0.58/0.79  % PE start: 50
% 0.58/0.79  logic: eq
% 0.58/0.79  % PE eliminated: -1
% 0.58/0.79  % done 15 iterations in 0.019s
% 0.58/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.79  % SZS output start Refutation
% See solution above
% 0.58/0.79  
% 0.58/0.79  
% 0.58/0.79  % Terminating...
% 1.80/0.86  % Runner terminated.
% 1.80/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------