TSTP Solution File: SWC053+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC053+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.v06u82gyYz true

% Computer : n027.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 21:28:48 EDT 2023

% Result   : Theorem 3.48s 1.19s
% Output   : Refutation 3.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  122 (  29 unt;  12 typ;   0 def)
%            Number of atoms       :  358 ( 124 equ;   0 cnn)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  796 ( 189   ~; 203   |;  15   &; 359   @)
%                                         (   4 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   88 (   0   ^;  83   !;   5   ?;  88   :)

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

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

thf(app_type,type,
    app: $i > $i > $i ).

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

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

thf(sk__51_type,type,
    sk__51: $i ).

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

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

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

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

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

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

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

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

thf(zip_derived_cl202,plain,
    ( ( neq @ sk__51 @ nil )
    | ( nil = sk__49 ) ),
    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_cl1575,plain,
    ( ( nil = sk__49 )
    | ~ ( ssList @ sk__51 )
    | ( sk__51 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl202,zip_derived_cl80]) ).

thf(zip_derived_cl196,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_cl1619,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ sk__51 )
    | ( sk__51 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1575,zip_derived_cl196,zip_derived_cl83]) ).

thf(zip_derived_cl204,plain,
    ( ( ssList @ sk__51 )
    | ( nil = 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_cl1616,plain,
    ( ( ssList @ sk__51 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl196]) ).

thf(zip_derived_cl1620,plain,
    ( ( sk__51 != nil )
    | ( nil = sk__47 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1619,zip_derived_cl1616]) ).

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

thf(zip_derived_cl123,plain,
    ! [X0: $i] :
      ( ( nil != X0 )
      | ( frontsegP @ nil @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax46]) ).

thf(ax45,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( frontsegP @ U @ nil ) ) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i] :
      ( ( frontsegP @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax45]) ).

thf(ax40,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( ( frontsegP @ U @ V )
                  & ( frontsegP @ V @ W ) )
               => ( frontsegP @ U @ W ) ) ) ) ) ).

thf(zip_derived_cl115,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ~ ( frontsegP @ X0 @ X2 )
      | ( frontsegP @ X1 @ X2 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf(zip_derived_cl2302,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( frontsegP @ nil @ X1 )
      | ( frontsegP @ X0 @ X1 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl115]) ).

thf(zip_derived_cl83_002,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl2313,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ nil @ X1 )
      | ( frontsegP @ X0 @ X1 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2302,zip_derived_cl83]) ).

thf(zip_derived_cl2314,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ( frontsegP @ X0 @ X1 )
      | ~ ( frontsegP @ nil @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2313]) ).

thf(zip_derived_cl2323,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil != X0 )
      | ~ ( ssList @ X0 )
      | ( frontsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl2314]) ).

thf(zip_derived_cl2327,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ( frontsegP @ X1 @ X0 )
      | ( nil != X0 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2323]) ).

thf(zip_derived_cl200,plain,
    ( ( frontsegP @ sk__50 @ sk__51 )
    | ( nil = sk__49 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205,plain,
    sk__48 = sk__50,
    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_cl1663,plain,
    ( ( frontsegP @ sk__48 @ sk__51 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl205,zip_derived_cl196]) ).

thf(ax41,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( ( frontsegP @ U @ V )
              & ( frontsegP @ V @ U ) )
           => ( U = V ) ) ) ) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ~ ( frontsegP @ X0 @ X1 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax41]) ).

thf(zip_derived_cl1803,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ sk__48 )
    | ( sk__51 = sk__48 )
    | ~ ( frontsegP @ sk__51 @ sk__48 )
    | ~ ( ssList @ sk__51 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1663,zip_derived_cl116]) ).

thf(zip_derived_cl206,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_004,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1613,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl205]) ).

thf(zip_derived_cl1814,plain,
    ( ( nil = sk__47 )
    | ( sk__51 = sk__48 )
    | ~ ( frontsegP @ sk__51 @ sk__48 )
    | ~ ( ssList @ sk__51 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1803,zip_derived_cl1613]) ).

thf(zip_derived_cl1616_005,plain,
    ( ( ssList @ sk__51 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl196]) ).

thf(zip_derived_cl1820,plain,
    ( ~ ( frontsegP @ sk__51 @ sk__48 )
    | ( sk__51 = sk__48 )
    | ( nil = sk__47 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1814,zip_derived_cl1616]) ).

thf(zip_derived_cl2335,plain,
    ( ~ ( ssList @ sk__48 )
    | ( nil != sk__48 )
    | ~ ( ssList @ sk__51 )
    | ( sk__51 = sk__48 )
    | ( nil = sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2327,zip_derived_cl1820]) ).

thf(zip_derived_cl1613_006,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl205]) ).

thf(zip_derived_cl2345,plain,
    ( ( nil != sk__48 )
    | ~ ( ssList @ sk__51 )
    | ( sk__51 = sk__48 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2335,zip_derived_cl1613]) ).

thf(zip_derived_cl1616_007,plain,
    ( ( ssList @ sk__51 )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl196]) ).

thf(zip_derived_cl2370,plain,
    ( ( nil = sk__47 )
    | ( sk__51 = sk__48 )
    | ( nil != sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2345,zip_derived_cl1616]) ).

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

thf(zip_derived_cl80_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl1559,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_cl1613_009,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl205]) ).

thf(zip_derived_cl83_010,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1614,plain,
    ( ( nil != sk__47 )
    | ( sk__48 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1559,zip_derived_cl1613,zip_derived_cl83]) ).

thf(zip_derived_cl2371,plain,
    ( ( nil != sk__48 )
    | ( sk__51 = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2370,zip_derived_cl1614]) ).

thf(ax5,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( frontsegP @ U @ V )
          <=> ? [W: $i] :
                ( ( ( app @ V @ W )
                  = U )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ( ( app @ X0 @ ( sk__5 @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(ax28,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ nil @ U )
        = U ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(ax7,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( segmentP @ U @ V )
          <=> ? [W: $i] :
                ( ? [X: $i] :
                    ( ( ( app @ ( app @ W @ V ) @ X )
                      = U )
                    & ( ssList @ X ) )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ ( app @ X3 @ X0 ) @ X1 )
       != X2 )
      | ~ ( ssList @ X3 )
      | ( segmentP @ X2 @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl1722,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ nil )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl21]) ).

thf(zip_derived_cl83_011,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1731,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1722,zip_derived_cl83]) ).

thf(zip_derived_cl1732,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1731]) ).

thf(zip_derived_cl1777,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X0 @ X2 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X2 )
      | ( X0 != X1 )
      | ~ ( ssList @ ( sk__5 @ X2 @ X0 ) )
      | ~ ( ssList @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1732]) ).

thf(zip_derived_cl1786,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ ( sk__5 @ X2 @ X0 ) )
      | ( X0 != X1 )
      | ( segmentP @ X1 @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( frontsegP @ X0 @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1777]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ( ssList @ ( sk__5 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl3369,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X0 @ X2 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X2 )
      | ( X0 != X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1786,zip_derived_cl13]) ).

thf(zip_derived_cl3370,plain,
    ! [X0: $i,X1: $i] :
      ( ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3369]) ).

thf(zip_derived_cl3371,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( frontsegP @ X1 @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3370]) ).

thf(zip_derived_cl3371_012,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( frontsegP @ X1 @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3370]) ).

thf(zip_derived_cl201,plain,
    ( ( neq @ sk__51 @ nil )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1570,plain,
    ! [X0: $i] :
      ( ( sk__51 != X0 )
      | ( nil != nil )
      | ( nil = sk__50 )
      | ~ ( ssList @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( segmentP @ sk__47 @ X0 )
      | ( nil = sk__48 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl201,zip_derived_cl193]) ).

thf(zip_derived_cl1756,plain,
    ! [X0: $i] :
      ( ( nil = sk__48 )
      | ~ ( segmentP @ sk__47 @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( ssList @ X0 )
      | ( nil = sk__50 )
      | ( sk__51 != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1570]) ).

thf(zip_derived_cl205_013,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1757,plain,
    ! [X0: $i] :
      ( ( nil = sk__48 )
      | ~ ( segmentP @ sk__47 @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( ssList @ X0 )
      | ( nil = sk__48 )
      | ( sk__51 != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1756,zip_derived_cl205]) ).

thf(zip_derived_cl1758,plain,
    ! [X0: $i] :
      ( ( sk__51 != X0 )
      | ~ ( ssList @ X0 )
      | ~ ( segmentP @ sk__48 @ X0 )
      | ~ ( segmentP @ sk__47 @ X0 )
      | ( nil = sk__48 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1757]) ).

thf(zip_derived_cl1759,plain,
    ( ( nil = sk__48 )
    | ~ ( segmentP @ sk__47 @ sk__51 )
    | ~ ( segmentP @ sk__48 @ sk__51 )
    | ~ ( ssList @ sk__51 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1758]) ).

thf(zip_derived_cl203,plain,
    ( ( ssList @ sk__51 )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_014,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1615,plain,
    ( ( ssList @ sk__51 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl205]) ).

thf(zip_derived_cl1760,plain,
    ( ~ ( segmentP @ sk__48 @ sk__51 )
    | ~ ( segmentP @ sk__47 @ sk__51 )
    | ( nil = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1759,zip_derived_cl1615]) ).

thf(zip_derived_cl3387,plain,
    ( ~ ( ssList @ sk__48 )
    | ~ ( ssList @ sk__51 )
    | ~ ( frontsegP @ sk__48 @ sk__51 )
    | ~ ( segmentP @ sk__47 @ sk__51 )
    | ( nil = sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3371,zip_derived_cl1760]) ).

thf(zip_derived_cl1613_015,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl205]) ).

thf(zip_derived_cl3398,plain,
    ( ~ ( ssList @ sk__51 )
    | ~ ( frontsegP @ sk__48 @ sk__51 )
    | ~ ( segmentP @ sk__47 @ sk__51 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3387,zip_derived_cl1613]) ).

thf(zip_derived_cl1615_016,plain,
    ( ( ssList @ sk__51 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl205]) ).

thf(zip_derived_cl3573,plain,
    ( ( nil = sk__48 )
    | ~ ( segmentP @ sk__47 @ sk__51 )
    | ~ ( frontsegP @ sk__48 @ sk__51 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3398,zip_derived_cl1615]) ).

thf(zip_derived_cl199,plain,
    ( ( frontsegP @ sk__50 @ sk__51 )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_017,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_018,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1659,plain,
    ( ( frontsegP @ sk__48 @ sk__51 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl205,zip_derived_cl205]) ).

thf(zip_derived_cl3574,plain,
    ( ~ ( segmentP @ sk__47 @ sk__51 )
    | ( nil = sk__48 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3573,zip_derived_cl1659]) ).

thf(zip_derived_cl3576,plain,
    ( ~ ( ssList @ sk__47 )
    | ~ ( ssList @ sk__51 )
    | ~ ( frontsegP @ sk__47 @ sk__51 )
    | ( nil = sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3371,zip_derived_cl3574]) ).

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

thf(zip_derived_cl3579,plain,
    ( ~ ( ssList @ sk__51 )
    | ~ ( frontsegP @ sk__47 @ sk__51 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3576,zip_derived_cl190]) ).

thf(zip_derived_cl1615_019,plain,
    ( ( ssList @ sk__51 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl205]) ).

thf(zip_derived_cl3588,plain,
    ( ( nil = sk__48 )
    | ~ ( frontsegP @ sk__47 @ sk__51 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3579,zip_derived_cl1615]) ).

thf(zip_derived_cl197,plain,
    ( ( frontsegP @ sk__49 @ sk__51 )
    | ( nil = sk__50 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_020,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl205_021,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1628,plain,
    ( ( frontsegP @ sk__47 @ sk__51 )
    | ( nil = sk__48 ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196,zip_derived_cl205]) ).

thf(zip_derived_cl3589,plain,
    nil = sk__48,
    inference(clc,[status(thm)],[zip_derived_cl3588,zip_derived_cl1628]) ).

thf(zip_derived_cl3589_022,plain,
    nil = sk__48,
    inference(clc,[status(thm)],[zip_derived_cl3588,zip_derived_cl1628]) ).

thf(zip_derived_cl3598,plain,
    ( ( nil != nil )
    | ( sk__51 = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl2371,zip_derived_cl3589,zip_derived_cl3589]) ).

thf(zip_derived_cl3599,plain,
    sk__51 = nil,
    inference(simplify,[status(thm)],[zip_derived_cl3598]) ).

thf(zip_derived_cl3615,plain,
    ( ( nil != nil )
    | ( nil = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1620,zip_derived_cl3599]) ).

thf(zip_derived_cl3616,plain,
    nil = sk__47,
    inference(simplify,[status(thm)],[zip_derived_cl3615]) ).

thf(zip_derived_cl1614_023,plain,
    ( ( nil != sk__47 )
    | ( sk__48 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1559,zip_derived_cl1613,zip_derived_cl83]) ).

thf(zip_derived_cl3589_024,plain,
    nil = sk__48,
    inference(clc,[status(thm)],[zip_derived_cl3588,zip_derived_cl1628]) ).

thf(zip_derived_cl3592,plain,
    ( ( nil != sk__47 )
    | ( nil != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1614,zip_derived_cl3589]) ).

thf(zip_derived_cl3593,plain,
    nil != sk__47,
    inference(simplify,[status(thm)],[zip_derived_cl3592]) ).

thf(zip_derived_cl3617,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3616,zip_derived_cl3593]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC053+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.v06u82gyYz true
% 0.14/0.35  % Computer : n027.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 19:00:08 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
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.48/1.19  % Solved by fo/fo6_bce.sh.
% 3.48/1.19  % BCE start: 208
% 3.48/1.19  % BCE eliminated: 2
% 3.48/1.19  % PE start: 206
% 3.48/1.19  logic: eq
% 3.48/1.19  % PE eliminated: -2
% 3.48/1.19  % done 403 iterations in 0.464s
% 3.48/1.19  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.48/1.19  % SZS output start Refutation
% See solution above
% 3.48/1.19  
% 3.48/1.19  
% 3.48/1.19  % Terminating...
% 3.65/1.24  % Runner terminated.
% 3.65/1.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------