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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC017+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.OVsm2BhOLu 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 Oct  2 04:58:17 PM UTC 2025

% Result   : Theorem 0.58s 0.84s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   59 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :  154 (  68 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  298 (  74   ~;  73   |;  10   &; 129   @)
%                                         (   2 <=>;  10  =>;   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   :   25 (   0   ^;  23   !;   2   ?;  25   :)

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

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

thf(sk__49_type,type,
    sk__49: $i ).

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

thf(sk__47_type,type,
    sk__47: $i ).

thf(sk__50_type,type,
    sk__50: $i ).

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

thf(sk__48_type,type,
    sk__48: $i ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ( ~ ( frontsegP @ X @ W )
                      | ~ ( neq @ W @ nil ) )
                    & ( ( nil != W )
                      | ( nil != X ) ) )
                  | ( ( ? [Y: $i] :
                          ( ( frontsegP @ U @ Y )
                          & ( frontsegP @ V @ Y )
                          & ( neq @ Y @ nil )
                          & ( ssList @ Y ) )
                      | ~ ( neq @ V @ nil ) )
                    & ( ( nil = U )
                      | ( nil != V ) ) )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ( ~ ( frontsegP @ X @ W )
                        | ~ ( neq @ W @ nil ) )
                      & ( ( nil != W )
                        | ( nil != X ) ) )
                    | ( ( ? [Y: $i] :
                            ( ( frontsegP @ U @ Y )
                            & ( frontsegP @ V @ Y )
                            & ( neq @ Y @ nil )
                            & ( ssList @ Y ) )
                        | ~ ( neq @ V @ nil ) )
                      & ( ( nil = U )
                        | ( nil != V ) ) )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl197,plain,
    ( ( frontsegP @ sk__50 @ sk__49 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_001,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1603,plain,
    ( ( frontsegP @ sk__48 @ sk__47 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl201,zip_derived_cl196,zip_derived_cl196]) ).

thf(ax42,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( frontsegP @ U @ U ) ) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i] :
      ( ( frontsegP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax42]) ).

thf(zip_derived_cl199,plain,
    ( ( neq @ sk__49 @ nil )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( frontsegP @ sk__48 @ X0 )
      | ~ ( frontsegP @ sk__47 @ X0 )
      | ( nil = sk__48 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1561,plain,
    ! [X0: $i] :
      ( ( sk__49 != X0 )
      | ( nil != nil )
      | ( nil = sk__49 )
      | ( nil = sk__48 )
      | ~ ( frontsegP @ sk__47 @ X0 )
      | ~ ( frontsegP @ sk__48 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl199,zip_derived_cl193]) ).

thf(zip_derived_cl1733,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ sk__48 @ X0 )
      | ~ ( frontsegP @ sk__47 @ X0 )
      | ( nil = sk__48 )
      | ( nil = sk__49 )
      | ( sk__49 != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1561]) ).

thf(zip_derived_cl196_002,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_003,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1734,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ sk__48 @ X0 )
      | ~ ( frontsegP @ sk__47 @ X0 )
      | ( nil = sk__48 )
      | ( nil = sk__47 )
      | ( sk__47 != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1733,zip_derived_cl196,zip_derived_cl196]) ).

thf(zip_derived_cl200,plain,
    ( ( neq @ sk__49 @ nil )
    | ( nil = sk__50 ) ),
    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_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl1563,plain,
    ( ( nil = sk__50 )
    | ~ ( ssList @ sk__49 )
    | ( sk__49 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl200,zip_derived_cl80]) ).

thf(zip_derived_cl201_004,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_005,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_006,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl83,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1604,plain,
    ( ( nil = sk__48 )
    | ( sk__47 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl201,zip_derived_cl196,zip_derived_cl190,zip_derived_cl196,zip_derived_cl83]) ).

thf(zip_derived_cl194,plain,
    ( ( neq @ sk__48 @ nil )
    | ( nil != sk__47 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl1539,plain,
    ( ( nil != sk__47 )
    | ~ ( ssList @ sk__48 )
    | ( sk__48 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl194,zip_derived_cl80]) ).

thf(zip_derived_cl202,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201_008,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1601,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).

thf(zip_derived_cl83_009,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1602,plain,
    ( ( nil != sk__47 )
    | ( sk__48 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1539,zip_derived_cl1601,zip_derived_cl83]) ).

thf(zip_derived_cl1605,plain,
    sk__47 != nil,
    inference(clc,[status(thm)],[zip_derived_cl1604,zip_derived_cl1602]) ).

thf(zip_derived_cl1735,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ sk__48 @ X0 )
      | ~ ( frontsegP @ sk__47 @ X0 )
      | ( nil = sk__48 )
      | ( sk__47 != X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1734,zip_derived_cl1605]) ).

thf(zip_derived_cl1736,plain,
    ( ( nil = sk__48 )
    | ~ ( frontsegP @ sk__47 @ sk__47 )
    | ~ ( frontsegP @ sk__48 @ sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1735]) ).

thf(zip_derived_cl190_010,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1737,plain,
    ( ( nil = sk__48 )
    | ~ ( frontsegP @ sk__47 @ sk__47 )
    | ~ ( frontsegP @ sk__48 @ sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1736,zip_derived_cl190]) ).

thf(zip_derived_cl198,plain,
    ( ( frontsegP @ sk__50 @ sk__49 )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201_011,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_012,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201_013,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1618,plain,
    ( ( frontsegP @ sk__48 @ sk__47 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl201,zip_derived_cl196,zip_derived_cl201]) ).

thf(zip_derived_cl1738,plain,
    ( ~ ( frontsegP @ sk__47 @ sk__47 )
    | ( nil = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1737,zip_derived_cl1618]) ).

thf(zip_derived_cl1739,plain,
    ( ~ ( ssList @ sk__47 )
    | ( nil = sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl1738]) ).

thf(zip_derived_cl190_014,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1740,plain,
    nil = sk__48,
    inference(demod,[status(thm)],[zip_derived_cl1739,zip_derived_cl190]) ).

thf(zip_derived_cl1743,plain,
    ( ( frontsegP @ nil @ sk__47 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1603,zip_derived_cl1740]) ).

thf(zip_derived_cl1605_015,plain,
    sk__47 != nil,
    inference(clc,[status(thm)],[zip_derived_cl1604,zip_derived_cl1602]) ).

thf(zip_derived_cl1744,plain,
    frontsegP @ nil @ sk__47,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1743,zip_derived_cl1605]) ).

thf(ax46,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( frontsegP @ nil @ U )
      <=> ( nil = U ) ) ) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i] :
      ( ~ ( frontsegP @ nil @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax46]) ).

thf(zip_derived_cl1747,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1744,zip_derived_cl124]) ).

thf(zip_derived_cl190_016,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1748,plain,
    nil = sk__47,
    inference(demod,[status(thm)],[zip_derived_cl1747,zip_derived_cl190]) ).

thf(zip_derived_cl1605_017,plain,
    sk__47 != nil,
    inference(clc,[status(thm)],[zip_derived_cl1604,zip_derived_cl1602]) ).

thf(zip_derived_cl1749,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1748,zip_derived_cl1605]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC017+1 : TPTP v9.2.0. Released v2.4.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OVsm2BhOLu true
% 0.13/0.35  % Computer : n012.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 17:06:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.84  % Solved by fo/fo6_bce.sh.
% 0.58/0.84  % BCE start: 204
% 0.58/0.84  % BCE eliminated: 2
% 0.58/0.84  % PE start: 202
% 0.58/0.84  logic: eq
% 0.58/0.84  % PE eliminated: 0
% 0.58/0.84  % done 83 iterations in 0.106s
% 0.58/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.84  % SZS output start Refutation
% See solution above
% 0.58/0.84  
% 0.58/0.84  
% 0.58/0.84  % Terminating...
% 1.73/0.89  % Runner terminated.
% 1.73/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------