TSTP Solution File: SWC300+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC300+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.dqnawIH6Ee true

% Computer : n014.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 21:30:35 EDT 2023

% Result   : Theorem 16.83s 3.73s
% Output   : Refutation 16.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   90 (  34 unt;  15 typ;   0 def)
%            Number of atoms       :  217 (  40 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  747 ( 104   ~;  97   |;   1   &; 501   @)
%                                         (   2 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   77 (   0   ^;  77   !;   0   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(sk__55_type,type,
    sk__55: $i ).

thf(totalorderedP_type,type,
    totalorderedP: $i > $o ).

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

thf(lt_type,type,
    lt: $i > $i > $o ).

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

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

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

thf(sk__53_type,type,
    sk__53: $i ).

thf(sk__52_type,type,
    sk__52: $i ).

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

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

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(sk__54_type,type,
    sk__54: $i ).

thf(ax81,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( cons @ V @ U )
            = ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
        = ( app @ ( cons @ X0 @ nil ) @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax81]) ).

thf(ax16,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ssList @ ( cons @ V @ U ) ) ) ) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(ax26,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ssList @ ( app @ U @ V ) ) ) ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(zip_derived_cl82_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(zip_derived_cl171_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
        = ( app @ ( cons @ X0 @ nil ) @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax81]) ).

thf(zip_derived_cl82_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ssList @ ( cons @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax16]) ).

thf(ax82,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( app @ ( app @ U @ V ) @ W )
                = ( app @ U @ ( app @ V @ W ) ) ) ) ) ) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
        = ( app @ X1 @ ( app @ X0 @ X2 ) ) )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax82]) ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ~ ( totalorderedP @ W )
                    | ! [Y: $i] :
                        ( ( ssItem @ Y )
                       => ! [Z: $i] :
                            ( ( ssItem @ Z )
                           => ! [X1: $i] :
                                ( ( ssList @ X1 )
                               => ! [X2: $i] :
                                    ( ( ssList @ X2 )
                                   => ! [X3: $i] :
                                        ( ( ssList @ X3 )
                                       => ( ( ( app @ ( app @ ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ X2 ) @ ( cons @ Z @ nil ) ) @ X3 )
                                           != U )
                                          | ~ ( lt @ Z @ Y ) ) ) ) ) ) ) ) ) ) ) ) ).

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 )
                      | ~ ( totalorderedP @ W )
                      | ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ! [Z: $i] :
                              ( ( ssItem @ Z )
                             => ! [X1: $i] :
                                  ( ( ssList @ X1 )
                                 => ! [X2: $i] :
                                      ( ( ssList @ X2 )
                                     => ! [X3: $i] :
                                          ( ( ssList @ X3 )
                                         => ( ( ( app @ ( app @ ( app @ ( app @ X1 @ ( cons @ Y @ nil ) ) @ X2 ) @ ( cons @ Z @ nil ) ) @ X3 )
                                             != U )
                                            | ~ ( lt @ Z @ Y ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl195,plain,
    ( ( app @ ( app @ ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) @ sk__54 ) @ ( cons @ sk__52 @ nil ) ) @ sk__55 )
    = sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2825,plain,
    ( ~ ( ssList @ sk__53 )
    | ~ ( ssList @ sk__54 )
    | ~ ( ssList @ ( cons @ sk__51 @ nil ) )
    | ( ( app @ ( app @ ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ sk__54 ) ) @ ( cons @ sk__52 @ nil ) ) @ sk__55 )
      = sk__47 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl195]) ).

thf(zip_derived_cl197,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2901,plain,
    ( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
    | ( ( app @ ( app @ ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ sk__54 ) ) @ ( cons @ sk__52 @ nil ) ) @ sk__55 )
      = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2825,zip_derived_cl197,zip_derived_cl193]) ).

thf(zip_derived_cl3005,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ sk__51 )
    | ( ( app @ ( app @ ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ sk__54 ) ) @ ( cons @ sk__52 @ nil ) ) @ sk__55 )
      = sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl2901]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl198,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3006,plain,
    ( ( app @ ( app @ ( app @ sk__53 @ ( app @ ( cons @ sk__51 @ nil ) @ sk__54 ) ) @ ( cons @ sk__52 @ nil ) ) @ sk__55 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl3005,zip_derived_cl83,zip_derived_cl198]) ).

thf(zip_derived_cl3314,plain,
    ( ~ ( ssList @ sk__54 )
    | ~ ( ssItem @ sk__51 )
    | ( ( app @ ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( cons @ sk__52 @ nil ) ) @ sk__55 )
      = sk__47 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl3006]) ).

thf(zip_derived_cl193_004,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198_005,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3318,plain,
    ( ( app @ ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( cons @ sk__52 @ nil ) ) @ sk__55 )
    = sk__47 ),
    inference(demod,[status(thm)],[zip_derived_cl3314,zip_derived_cl193,zip_derived_cl198]) ).

thf(zip_derived_cl172_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
        = ( app @ X1 @ ( app @ X0 @ X2 ) ) )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax82]) ).

thf(zip_derived_cl3983,plain,
    ( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__55 ) ) )
    | ~ ( ssList @ sk__55 )
    | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3318,zip_derived_cl172]) ).

thf(zip_derived_cl196,plain,
    ssList @ sk__55,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4017,plain,
    ( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__55 ) ) )
    | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3983,zip_derived_cl196]) ).

thf(zip_derived_cl4508,plain,
    ( ~ ( ssList @ nil )
    | ~ ( ssItem @ sk__52 )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__55 ) ) )
    | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl4017]) ).

thf(zip_derived_cl83_007,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl192,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4509,plain,
    ( ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__55 ) ) )
    | ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4508,zip_derived_cl83,zip_derived_cl192]) ).

thf(zip_derived_cl5031,plain,
    ( ~ ( ssList @ sk__53 )
    | ~ ( ssList @ ( cons @ sk__51 @ sk__54 ) )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__55 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl4509]) ).

thf(zip_derived_cl197_008,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5033,plain,
    ( ~ ( ssList @ ( cons @ sk__51 @ sk__54 ) )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__55 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5031,zip_derived_cl197]) ).

thf(zip_derived_cl5403,plain,
    ( ~ ( ssList @ sk__54 )
    | ~ ( ssItem @ sk__51 )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__55 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl5033]) ).

thf(zip_derived_cl193_009,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198_010,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5404,plain,
    ( sk__47
    = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( app @ ( cons @ sk__52 @ nil ) @ sk__55 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5403,zip_derived_cl193,zip_derived_cl198]) ).

thf(zip_derived_cl5489,plain,
    ( ~ ( ssList @ sk__55 )
    | ~ ( ssItem @ sk__52 )
    | ( sk__47
      = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( cons @ sk__52 @ sk__55 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl5404]) ).

thf(zip_derived_cl196_011,plain,
    ssList @ sk__55,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_012,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5492,plain,
    ( sk__47
    = ( app @ ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) @ ( cons @ sk__52 @ sk__55 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5489,zip_derived_cl196,zip_derived_cl192]) ).

thf(ax11,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( totalorderedP @ U )
      <=> ! [V: $i] :
            ( ( ssItem @ V )
           => ! [W: $i] :
                ( ( ssItem @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ! [Z: $i] :
                            ( ( ssList @ Z )
                           => ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
                                = U )
                             => ( leq @ V @ W ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( totalorderedP @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( ssList @ X2 )
      | ( leq @ X3 @ X1 )
      | ( ( app @ ( app @ X4 @ ( cons @ X3 @ X2 ) ) @ ( cons @ X1 @ X5 ) )
       != X0 )
      | ~ ( ssList @ X5 )
      | ~ ( ssList @ X4 )
      | ~ ( ssItem @ X3 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax11]) ).

thf(zip_derived_cl5751,plain,
    ! [X0: $i] :
      ( ~ ( totalorderedP @ X0 )
      | ~ ( ssItem @ sk__52 )
      | ~ ( ssList @ sk__54 )
      | ( leq @ sk__51 @ sk__52 )
      | ( sk__47 != X0 )
      | ~ ( ssList @ sk__55 )
      | ~ ( ssList @ sk__53 )
      | ~ ( ssItem @ sk__51 )
      | ~ ( ssList @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5492,zip_derived_cl56]) ).

thf(zip_derived_cl192_013,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193_014,plain,
    ssList @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_015,plain,
    ssList @ sk__55,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl197_016,plain,
    ssList @ sk__53,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl198_017,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5811,plain,
    ! [X0: $i] :
      ( ~ ( totalorderedP @ X0 )
      | ( leq @ sk__51 @ sk__52 )
      | ( sk__47 != X0 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5751,zip_derived_cl192,zip_derived_cl193,zip_derived_cl196,zip_derived_cl197,zip_derived_cl198]) ).

thf(zip_derived_cl8271,plain,
    ( ~ ( ssList @ sk__47 )
    | ( leq @ sk__51 @ sk__52 )
    | ~ ( totalorderedP @ sk__47 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5811]) ).

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

thf(zip_derived_cl199,plain,
    totalorderedP @ sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1509,plain,
    totalorderedP @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl200]) ).

thf(zip_derived_cl8272,plain,
    leq @ sk__51 @ sk__52,
    inference(demod,[status(thm)],[zip_derived_cl8271,zip_derived_cl190,zip_derived_cl1509]) ).

thf(ax92,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( leq @ U @ V )
           => ( ( U = V )
              | ( lt @ U @ V ) ) ) ) ) ).

thf(zip_derived_cl184,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( lt @ X1 @ X0 )
      | ( X1 = X0 )
      | ~ ( leq @ X1 @ X0 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax92]) ).

thf(ax33,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( lt @ U @ V )
           => ~ ( lt @ V @ U ) ) ) ) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( lt @ X0 @ X1 )
      | ~ ( lt @ X1 @ X0 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax33]) ).

thf(zip_derived_cl2938,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X1 )
      | ~ ( leq @ X1 @ X0 )
      | ( X1 = X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssItem @ X1 )
      | ~ ( lt @ X0 @ X1 )
      | ~ ( ssItem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl103]) ).

thf(zip_derived_cl2948,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( lt @ X0 @ X1 )
      | ~ ( ssItem @ X0 )
      | ( X1 = X0 )
      | ~ ( leq @ X1 @ X0 )
      | ~ ( ssItem @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2938]) ).

thf(ax93,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( lt @ U @ V )
          <=> ( ( U != V )
              & ( leq @ U @ V ) ) ) ) ) ).

thf(zip_derived_cl185,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( lt @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax93]) ).

thf(zip_derived_cl3044,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X1 )
      | ~ ( leq @ X1 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( lt @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2948,zip_derived_cl185]) ).

thf(zip_derived_cl8299,plain,
    ( ~ ( ssItem @ sk__51 )
    | ~ ( ssItem @ sk__52 )
    | ~ ( lt @ sk__52 @ sk__51 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8272,zip_derived_cl3044]) ).

thf(zip_derived_cl198_018,plain,
    ssItem @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_019,plain,
    ssItem @ sk__52,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    lt @ sk__52 @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8306,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8299,zip_derived_cl198,zip_derived_cl192,zip_derived_cl194]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC300+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.dqnawIH6Ee true
% 0.18/0.36  % Computer : n014.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Mon Aug 28 18:58:00 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.18/0.36  % Running portfolio for 300 s
% 0.18/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.37  % Number of cores: 8
% 0.18/0.37  % Python version: Python 3.6.8
% 0.18/0.37  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.87  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 16.83/3.73  % Solved by fo/fo6_bce.sh.
% 16.83/3.73  % BCE start: 204
% 16.83/3.73  % BCE eliminated: 6
% 16.83/3.73  % PE start: 198
% 16.83/3.73  logic: eq
% 16.83/3.73  % PE eliminated: 6
% 16.83/3.73  % done 1262 iterations in 2.858s
% 16.83/3.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 16.83/3.73  % SZS output start Refutation
% See solution above
% 16.83/3.73  
% 16.83/3.73  
% 16.83/3.73  % Terminating...
% 18.97/4.20  % Runner terminated.
% 18.97/4.22  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------