TSTP Solution File: SWC108+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC108+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.z4E0VRo9Yu 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 21:29:13 EDT 2023

% Result   : Theorem 2.78s 1.01s
% Output   : Refutation 2.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  118 (  35 unt;  11 typ;   0 def)
%            Number of atoms       :  329 ( 115 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  740 ( 184   ~; 183   |;  11   &; 334   @)
%                                         (   3 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   88 (   0   ^;  85   !;   3   ?;  88   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__7_type,type,
    sk__7: $i ).

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

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

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

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

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

thf(rearsegP_type,type,
    rearsegP: $i > $i > $o ).

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

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

thf(sk__2_type,type,
    sk__2: $i > $i > $i ).

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

thf(zip_derived_cl55,plain,
    ( ( nil = sk__10 )
    | ( neq @ sk__9 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    ( ( nil = sk__8 )
    | ~ ( neq @ sk__7 @ nil )
    | ~ ( segmentP @ sk__8 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl420,plain,
    ( ( sk__9 != sk__7 )
    | ( nil != nil )
    | ( nil = sk__10 )
    | ~ ( segmentP @ sk__8 @ sk__7 )
    | ( nil = sk__8 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl51]) ).

thf(zip_derived_cl564,plain,
    ( ( nil = sk__8 )
    | ~ ( segmentP @ sk__8 @ sk__7 )
    | ( nil = sk__10 )
    | ( sk__9 != sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl420]) ).

thf(zip_derived_cl59,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl565,plain,
    ( ( nil = sk__8 )
    | ~ ( segmentP @ sk__8 @ sk__7 )
    | ( nil = sk__8 )
    | ( sk__7 != sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl564,zip_derived_cl59,zip_derived_cl54]) ).

thf(zip_derived_cl566,plain,
    ( ~ ( segmentP @ sk__8 @ sk__7 )
    | ( nil = sk__8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl565]) ).

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

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl56,plain,
    ( ( nil = sk__10 )
    | ( rearsegP @ sk__10 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59_001,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59_002,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_003,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl434,plain,
    ( ( nil = sk__8 )
    | ( rearsegP @ sk__8 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl59,zip_derived_cl59,zip_derived_cl54]) ).

thf(ax6,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( rearsegP @ U @ V )
          <=> ? [W: $i] :
                ( ( ( app @ W @ V )
                  = U )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ( app @ ( sk__2 @ X0 @ X1 ) @ X0 )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

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_cl11,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_cl697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X0 @ X3 )
      | ~ ( ssList @ X3 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X3 )
      | ~ ( ssList @ ( sk__2 @ X3 @ X0 ) )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl11]) ).

thf(zip_derived_cl708,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X2 )
      | ~ ( ssList @ ( sk__2 @ X3 @ X0 ) )
      | ( segmentP @ X1 @ X3 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X3 )
      | ~ ( rearsegP @ X0 @ X3 )
      | ~ ( ssList @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl697]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ( ssList @ ( sk__2 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl2831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X0 @ X3 )
      | ~ ( ssList @ X3 )
      | ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X3 )
      | ~ ( ssList @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl708,zip_derived_cl6]) ).

thf(zip_derived_cl2845,plain,
    ! [X0: $i,X1: $i] :
      ( ( nil = sk__8 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X1 @ sk__7 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ sk__7 )
      | ~ ( ssList @ sk__8 )
      | ( ( app @ sk__8 @ X0 )
       != X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl2831]) ).

thf(zip_derived_cl48,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ssList @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59_004,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl433,plain,
    ssList @ sk__8,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl2865,plain,
    ! [X0: $i,X1: $i] :
      ( ( nil = sk__8 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X1 @ sk__7 )
      | ~ ( ssList @ X1 )
      | ( ( app @ sk__8 @ X0 )
       != X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2845,zip_derived_cl48,zip_derived_cl433]) ).

thf(zip_derived_cl58,plain,
    ( ( nil = sk__9 )
    | ( rearsegP @ sk__10 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_005,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59_006,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_007,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl441,plain,
    ( ( nil = sk__7 )
    | ( rearsegP @ sk__8 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl54,zip_derived_cl59,zip_derived_cl54]) ).

thf(ax48,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( ( rearsegP @ U @ V )
              & ( rearsegP @ V @ U ) )
           => ( U = V ) ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ~ ( rearsegP @ X0 @ X1 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax48]) ).

thf(zip_derived_cl526,plain,
    ( ( nil = sk__7 )
    | ~ ( ssList @ sk__7 )
    | ~ ( rearsegP @ sk__7 @ sk__8 )
    | ( sk__7 = sk__8 )
    | ~ ( ssList @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl27]) ).

thf(zip_derived_cl48_008,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl433_009,plain,
    ssList @ sk__8,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl535,plain,
    ( ( nil = sk__7 )
    | ~ ( rearsegP @ sk__7 @ sk__8 )
    | ( sk__7 = sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl48,zip_derived_cl433]) ).

thf(zip_derived_cl55_010,plain,
    ( ( nil = sk__10 )
    | ( neq @ sk__9 @ nil ) ),
    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_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl417,plain,
    ( ( nil = sk__10 )
    | ~ ( ssList @ sk__9 )
    | ( sk__9 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl12]) ).

thf(zip_derived_cl456,plain,
    ( ( nil = sk__10 )
    | ( sk__9 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl417]) ).

thf(zip_derived_cl59_011,plain,
    sk__8 = sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_012,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl15,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl457,plain,
    ( ( nil = sk__8 )
    | ( sk__7 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl59,zip_derived_cl54,zip_derived_cl15]) ).

thf(zip_derived_cl52,plain,
    ( ( nil != sk__7 )
    | ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl409,plain,
    ( ( nil != sk__7 )
    | ~ ( ssList @ sk__8 )
    | ( sk__8 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl12]) ).

thf(zip_derived_cl435,plain,
    ( ( nil != sk__7 )
    | ( sk__8 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl409]) ).

thf(zip_derived_cl15_014,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl436,plain,
    ( ( nil != sk__7 )
    | ( sk__8 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl435,zip_derived_cl15]) ).

thf(zip_derived_cl458,plain,
    sk__7 != nil,
    inference(clc,[status(thm)],[zip_derived_cl457,zip_derived_cl436]) ).

thf(zip_derived_cl536,plain,
    ( ~ ( rearsegP @ sk__7 @ sk__8 )
    | ( sk__7 = sk__8 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl535,zip_derived_cl458]) ).

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

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X2 @ X0 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl514,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl7]) ).

thf(zip_derived_cl15_015,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl519,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != X1 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl15]) ).

thf(zip_derived_cl520,plain,
    ! [X0: $i,X1: $i] :
      ( ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( X0 != X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl519]) ).

thf(ax51,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( rearsegP @ U @ nil ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( rearsegP @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax51]) ).

thf(ax47,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( ( rearsegP @ U @ V )
                  & ( rearsegP @ V @ W ) )
               => ( rearsegP @ U @ W ) ) ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( rearsegP @ X1 @ X0 )
      | ~ ( rearsegP @ X0 @ X2 )
      | ( rearsegP @ X1 @ X2 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax47]) ).

thf(zip_derived_cl622,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( rearsegP @ X0 @ X1 )
      | ~ ( rearsegP @ nil @ X1 )
      | ~ ( ssList @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl26]) ).

thf(zip_derived_cl15_016,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl632,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( rearsegP @ X0 @ X1 )
      | ~ ( rearsegP @ nil @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl15]) ).

thf(zip_derived_cl633,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rearsegP @ nil @ X1 )
      | ( rearsegP @ X0 @ X1 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl632]) ).

thf(zip_derived_cl657,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != nil )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ nil )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( rearsegP @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl633]) ).

thf(zip_derived_cl15_017,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl662,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != nil )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( rearsegP @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl15]) ).

thf(zip_derived_cl663,plain,
    ! [X0: $i,X1: $i] :
      ( ( rearsegP @ X1 @ X0 )
      | ~ ( ssList @ X1 )
      | ~ ( ssList @ X0 )
      | ( X0 != nil ) ),
    inference(simplify,[status(thm)],[zip_derived_cl662]) ).

thf(zip_derived_cl674,plain,
    ( ( sk__7 = sk__8 )
    | ( sk__8 != nil )
    | ~ ( ssList @ sk__8 )
    | ~ ( ssList @ sk__7 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl663]) ).

thf(zip_derived_cl433_018,plain,
    ssList @ sk__8,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl48_019,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl677,plain,
    ( ( sk__7 = sk__8 )
    | ( sk__8 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl433,zip_derived_cl48]) ).

thf(ax55,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( segmentP @ U @ U ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( segmentP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax55]) ).

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

thf(zip_derived_cl51_020,plain,
    ( ( nil = sk__8 )
    | ~ ( neq @ sk__7 @ nil )
    | ~ ( segmentP @ sk__8 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl404,plain,
    ( ( sk__8 != sk__7 )
    | ( nil != nil )
    | ( nil = sk__8 )
    | ~ ( segmentP @ sk__8 @ sk__7 )
    | ( nil = sk__8 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl51]) ).

thf(zip_derived_cl548,plain,
    ( ~ ( segmentP @ sk__8 @ sk__7 )
    | ( nil = sk__8 )
    | ( sk__8 != sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl404]) ).

thf(zip_derived_cl549,plain,
    ( ~ ( segmentP @ sk__7 @ sk__7 )
    | ( nil = sk__7 )
    | ( sk__8 != sk__7 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl548]) ).

thf(zip_derived_cl458_021,plain,
    sk__7 != nil,
    inference(clc,[status(thm)],[zip_derived_cl457,zip_derived_cl436]) ).

thf(zip_derived_cl550,plain,
    ( ~ ( segmentP @ sk__7 @ sk__7 )
    | ( sk__8 != sk__7 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl549,zip_derived_cl458]) ).

thf(zip_derived_cl552,plain,
    ( ~ ( ssList @ sk__7 )
    | ( sk__8 != sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl550]) ).

thf(zip_derived_cl48_022,plain,
    ssList @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl553,plain,
    sk__8 != sk__7,
    inference(demod,[status(thm)],[zip_derived_cl552,zip_derived_cl48]) ).

thf(zip_derived_cl678,plain,
    sk__8 != nil,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl677,zip_derived_cl553]) ).

thf(zip_derived_cl2866,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( segmentP @ X1 @ sk__7 )
      | ~ ( ssList @ X1 )
      | ( ( app @ sk__8 @ X0 )
       != X1 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2865,zip_derived_cl678]) ).

thf(zip_derived_cl2873,plain,
    ! [X0: $i] :
      ( ( sk__8 != X0 )
      | ~ ( ssList @ sk__8 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__7 )
      | ~ ( ssList @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl2866]) ).

thf(zip_derived_cl433_023,plain,
    ssList @ sk__8,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl15_024,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl2877,plain,
    ! [X0: $i] :
      ( ( sk__8 != X0 )
      | ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2873,zip_derived_cl433,zip_derived_cl15]) ).

thf(zip_derived_cl2886,plain,
    ( ( nil = sk__8 )
    | ~ ( ssList @ sk__8 )
    | ( sk__8 != sk__8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl566,zip_derived_cl2877]) ).

thf(zip_derived_cl433_025,plain,
    ssList @ sk__8,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).

thf(zip_derived_cl2891,plain,
    ( ( nil = sk__8 )
    | ( sk__8 != sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2886,zip_derived_cl433]) ).

thf(zip_derived_cl2892,plain,
    nil = sk__8,
    inference(simplify,[status(thm)],[zip_derived_cl2891]) ).

thf(zip_derived_cl678_026,plain,
    sk__8 != nil,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl677,zip_derived_cl553]) ).

thf(zip_derived_cl2893,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2892,zip_derived_cl678]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC108+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z4E0VRo9Yu true
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 18:36:22 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.78/1.01  % Solved by fo/fo3_bce.sh.
% 2.78/1.01  % BCE start: 62
% 2.78/1.01  % BCE eliminated: 0
% 2.78/1.01  % PE start: 62
% 2.78/1.01  logic: eq
% 2.78/1.01  % PE eliminated: -4
% 2.78/1.01  % done 417 iterations in 0.246s
% 2.78/1.01  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.78/1.01  % SZS output start Refutation
% See solution above
% 2.78/1.01  
% 2.78/1.01  
% 2.78/1.01  % Terminating...
% 2.78/1.06  % Runner terminated.
% 2.78/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------