TSTP Solution File: SWC090+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC090+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AqKxs4lhFQ true

% Computer : n029.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 21:29:05 EDT 2023

% Result   : Theorem 1.25s 0.95s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  122 (  48 unt;  11 typ;   0 def)
%            Number of atoms       :  291 ( 106 equ;   0 cnn)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  654 ( 156   ~; 147   |;   9   &; 318   @)
%                                         (   3 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   78 (   0   ^;  74   !;   4   ?;  78   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__11_type,type,
    sk__11: $i ).

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

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

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

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__10_type,type,
    sk__10: $i ).

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

thf(sk__8_type,type,
    sk__8: $i ).

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

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(ax84,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ U @ nil )
        = U ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

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 ) )
                    | ! [Z: $i] :
                        ( ( ssList @ Z )
                       => ! [X1: $i] :
                            ( ( ssList @ X1 )
                           => ( ( ( app @ Z @ X1 )
                               != X )
                              | ( ( app @ X1 @ Z )
                               != 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 ) )
                      | ! [Z: $i] :
                          ( ( ssList @ Z )
                         => ! [X1: $i] :
                              ( ( ssList @ X1 )
                             => ( ( ( app @ Z @ X1 )
                                 != X )
                                | ( ( app @ X1 @ Z )
                                 != W ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl45,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__9 ),
    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_cl314,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47]) ).

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_cl8,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_cl410,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__7 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__11 )
      | ~ ( ssList @ sk__10 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl8]) ).

thf(zip_derived_cl43,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__7 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__11 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl410,zip_derived_cl43,zip_derived_cl46]) ).

thf(zip_derived_cl464,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ~ ( ssList @ sk__7 )
      | ~ ( ssList @ nil )
      | ( segmentP @ X0 @ sk__11 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl423]) ).

thf(zip_derived_cl48,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl300,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl466,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ( segmentP @ X0 @ sk__11 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl300,zip_derived_cl12]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

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_cl293,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( segmentP @ sk__6 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl40]) ).

thf(zip_derived_cl1188,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( ssList @ nil )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl12_002,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1189,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1188,zip_derived_cl12]) ).

thf(zip_derived_cl1201,plain,
    ( ~ ( ssList @ sk__7 )
    | ( sk__7 != sk__7 )
    | ~ ( ssList @ sk__11 )
    | ( sk__11 = nil )
    | ~ ( segmentP @ sk__6 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl1189]) ).

thf(zip_derived_cl300_003,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(zip_derived_cl46_004,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1210,plain,
    ( ( sk__7 != sk__7 )
    | ( sk__11 = nil )
    | ~ ( segmentP @ sk__6 @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1201,zip_derived_cl300,zip_derived_cl46]) ).

thf(zip_derived_cl1211,plain,
    ( ~ ( segmentP @ sk__6 @ sk__11 )
    | ( sk__11 = nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1210]) ).

thf(zip_derived_cl44,plain,
    ( ( app @ sk__11 @ sk__10 )
    = 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_cl307,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

thf(zip_derived_cl37_005,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl307_006,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

thf(zip_derived_cl8_007,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_cl412,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__6 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ sk__11 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl8]) ).

thf(zip_derived_cl46_008,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_009,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl425,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( app @ sk__6 @ X1 )
       != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl412,zip_derived_cl46,zip_derived_cl43]) ).

thf(zip_derived_cl506,plain,
    ! [X0: $i] :
      ( ( sk__6 != X0 )
      | ~ ( ssList @ sk__6 )
      | ~ ( ssList @ nil )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl425]) ).

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

thf(zip_derived_cl12_010,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl508,plain,
    ! [X0: $i] :
      ( ( sk__6 != X0 )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl506,zip_derived_cl38,zip_derived_cl12]) ).

thf(zip_derived_cl1189_011,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ( X0 = nil )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1188,zip_derived_cl12]) ).

thf(zip_derived_cl314_012,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47]) ).

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

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl8_013,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_cl406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl8]) ).

thf(zip_derived_cl12_014,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl418,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl406,zip_derived_cl12]) ).

thf(zip_derived_cl419,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X2 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl418]) ).

thf(zip_derived_cl1697,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ~ ( ssList @ sk__10 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__10 )
      | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl419]) ).

thf(zip_derived_cl43_015,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl46_016,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1708,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1697,zip_derived_cl43,zip_derived_cl46]) ).

thf(zip_derived_cl1732,plain,
    ( ~ ( ssList @ sk__10 )
    | ( sk__10 = nil )
    | ~ ( segmentP @ sk__6 @ sk__10 )
    | ~ ( ssList @ sk__7 )
    | ( sk__7 != sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1189,zip_derived_cl1708]) ).

thf(zip_derived_cl43_017,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl300_018,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl47]) ).

thf(zip_derived_cl1739,plain,
    ( ( sk__10 = nil )
    | ~ ( segmentP @ sk__6 @ sk__10 )
    | ( sk__7 != sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1732,zip_derived_cl43,zip_derived_cl300]) ).

thf(zip_derived_cl1740,plain,
    ( ~ ( segmentP @ sk__6 @ sk__10 )
    | ( sk__10 = nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1739]) ).

thf(zip_derived_cl1770,plain,
    ( ~ ( ssList @ sk__6 )
    | ( sk__6 != sk__6 )
    | ( sk__10 = nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl1740]) ).

thf(zip_derived_cl38_019,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1774,plain,
    ( ( sk__6 != sk__6 )
    | ( sk__10 = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1770,zip_derived_cl38]) ).

thf(zip_derived_cl1775,plain,
    sk__10 = nil,
    inference(simplify,[status(thm)],[zip_derived_cl1774]) ).

thf(zip_derived_cl1783,plain,
    ( ( app @ sk__11 @ nil )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl1775]) ).

thf(zip_derived_cl37_020,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl1821,plain,
    ( ( sk__6 = sk__11 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1783,zip_derived_cl37]) ).

thf(zip_derived_cl46_021,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1845,plain,
    sk__6 = sk__11,
    inference(demod,[status(thm)],[zip_derived_cl1821,zip_derived_cl46]) ).

thf(zip_derived_cl1845_022,plain,
    sk__6 = sk__11,
    inference(demod,[status(thm)],[zip_derived_cl1821,zip_derived_cl46]) ).

thf(zip_derived_cl1867,plain,
    ( ~ ( segmentP @ sk__6 @ sk__6 )
    | ( sk__6 = nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl1211,zip_derived_cl1845,zip_derived_cl1845]) ).

thf(zip_derived_cl307_023,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

thf(ax83,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( nil
              = ( app @ U @ V ) )
          <=> ( ( nil = V )
              & ( nil = U ) ) ) ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( nil
       != ( app @ X1 @ X0 ) )
      | ( nil = X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(zip_derived_cl322,plain,
    ( ( nil != sk__6 )
    | ~ ( ssList @ sk__11 )
    | ( nil = sk__10 )
    | ~ ( ssList @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl34]) ).

thf(zip_derived_cl46_024,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_025,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl328,plain,
    ( ( nil != sk__6 )
    | ( nil = sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl46,zip_derived_cl43]) ).

thf(zip_derived_cl314_026,plain,
    ( ( app @ sk__10 @ sk__11 )
    = sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl47]) ).

thf(zip_derived_cl335,plain,
    ( ( ( app @ nil @ sk__11 )
      = sk__7 )
    | ( nil != sk__6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl314]) ).

thf(zip_derived_cl22_027,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl396,plain,
    ( ( sk__7 = sk__11 )
    | ( nil != sk__6 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl335,zip_derived_cl22]) ).

thf(zip_derived_cl46_028,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl401,plain,
    ( ( sk__7 = sk__11 )
    | ( nil != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl46]) ).

thf(zip_derived_cl328_029,plain,
    ( ( nil != sk__6 )
    | ( nil = sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl46,zip_derived_cl43]) ).

thf(zip_derived_cl307_030,plain,
    ( ( app @ sk__11 @ sk__10 )
    = sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

thf(zip_derived_cl334,plain,
    ( ( ( app @ sk__11 @ nil )
      = sk__6 )
    | ( nil != sk__6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl307]) ).

thf(zip_derived_cl336,plain,
    ( ( ( app @ sk__11 @ nil )
      = nil )
    | ( nil != sk__6 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl334]) ).

thf(zip_derived_cl37_031,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl350,plain,
    ( ( nil = sk__11 )
    | ( nil != sk__6 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl336,zip_derived_cl37]) ).

thf(zip_derived_cl46_032,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ( nil = sk__11 )
    | ( nil != sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl46]) ).

thf(zip_derived_cl431,plain,
    ( ( nil = sk__7 )
    | ( nil != sk__6 )
    | ( nil != sk__6 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl401,zip_derived_cl353]) ).

thf(zip_derived_cl435,plain,
    ( ( nil != sk__6 )
    | ( nil = sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl431]) ).

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

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_cl295,plain,
    ( ~ ( ssList @ sk__7 )
    | ( sk__7 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl9]) ).

thf(zip_derived_cl301,plain,
    ( ( sk__7 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl295]) ).

thf(zip_derived_cl12_033,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl302,plain,
    sk__7 != nil,
    inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl12]) ).

thf(zip_derived_cl436,plain,
    nil != sk__6,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl435,zip_derived_cl302]) ).

thf(zip_derived_cl1868,plain,
    ~ ( segmentP @ sk__6 @ sk__6 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1867,zip_derived_cl436]) ).

thf(zip_derived_cl1874,plain,
    ~ ( ssList @ sk__6 ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1868]) ).

thf(zip_derived_cl38_034,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1876,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1874,zip_derived_cl38]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWC090+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AqKxs4lhFQ true
% 0.10/0.31  % Computer : n029.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Aug 28 15:12:56 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.16/0.31  % Running in FO mode
% 0.16/0.57  % Total configuration time : 435
% 0.16/0.57  % Estimated wc time : 1092
% 0.16/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.85/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.85/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.85/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.85/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.85/0.68  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.85/0.69  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.85/0.69  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.95  % Solved by fo/fo3_bce.sh.
% 1.25/0.95  % BCE start: 50
% 1.25/0.95  % BCE eliminated: 0
% 1.25/0.95  % PE start: 50
% 1.25/0.95  logic: eq
% 1.25/0.95  % PE eliminated: 1
% 1.25/0.95  % done 295 iterations in 0.240s
% 1.25/0.95  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.25/0.95  % SZS output start Refutation
% See solution above
% 1.25/0.96  
% 1.25/0.96  
% 1.25/0.96  % Terminating...
% 1.60/1.03  % Runner terminated.
% 1.60/1.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------