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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BRVJNHeBcT true

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:36:57 PM UTC 2026

% Result   : Theorem 0.50s 0.86s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   40 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  333 (   0 equ;   0 cnn)
%            Maximal formula atoms :  121 (   8 avg)
%            Number of connectives : 1012 ( 264   ~; 183   |; 109   &; 455   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;   2 con; 0-2 aty)
%            Number of variables   :   75 (   0   ^;  73   !;   2   ?;  75   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p5_type,type,
    p5: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(p102_type,type,
    p102: $i > $o ).

thf(p3_type,type,
    p3: $i > $o ).

thf(p103_type,type,
    p103: $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(p1_type,type,
    p1: $i > $o ).

thf(p104_type,type,
    p104: $i > $o ).

thf(p4_type,type,
    p4: $i > $o ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(p2_type,type,
    p2: $i > $o ).

thf(p106_type,type,
    p106: $i > $o ).

thf(r1_type,type,
    r1: $i > $i > $o ).

thf(p101_type,type,
    p101: $i > $o ).

thf(p100_type,type,
    p100: $i > $o ).

thf(p6_type,type,
    p6: $i > $o ).

thf(p105_type,type,
    p105: $i > $o ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ! [Y: $i] :
                ( ( p3 @ Y )
                | ~ ( r1 @ X @ Y ) )
          | ~ ( ! [Y: $i] :
                  ( ( ( ~ ( p101 @ Y )
                      | ( p100 @ Y ) )
                    & ( ~ ( p102 @ Y )
                      | ( p101 @ Y ) )
                    & ( ~ ( p103 @ Y )
                      | ( p102 @ Y ) )
                    & ( ~ ( p104 @ Y )
                      | ( p103 @ Y ) )
                    & ( ~ ( p105 @ Y )
                      | ( p104 @ Y ) )
                    & ( ~ ( p106 @ Y )
                      | ( p105 @ Y ) )
                    & ( ~ ( p100 @ Y )
                      | ( ( ~ ( p1 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p100 @ X )
                              | ( p1 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                        & ( ( p1 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p100 @ X )
                              | ~ ( p1 @ X )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                    & ( ~ ( p101 @ Y )
                      | ( ( ~ ( p2 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p101 @ X )
                              | ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                        & ( ( p2 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p101 @ X )
                              | ~ ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                    & ( ~ ( p102 @ Y )
                      | ( ( ~ ( p3 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p102 @ X )
                              | ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                        & ( ( p3 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p102 @ X )
                              | ~ ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                    & ( ~ ( p103 @ Y )
                      | ( ( ~ ( p4 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p103 @ X )
                              | ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                        & ( ( p4 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p103 @ X )
                              | ~ ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                    & ( ~ ( p104 @ Y )
                      | ( ( ~ ( p5 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p104 @ X )
                              | ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                        & ( ( p5 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p104 @ X )
                              | ~ ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                    & ( ~ ( p105 @ Y )
                      | ( ( ~ ( p6 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p105 @ X )
                              | ( p6 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                        & ( ( p6 @ Y )
                          | ! [X: $i] :
                              ( ~ ( p105 @ X )
                              | ~ ( p6 @ X )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                    & ( ~ ( ~ ( p101 @ Y )
                          & ( p100 @ Y ) )
                      | ( ~ ! [X: $i] :
                              ( ~ ( ( p2 @ X )
                                  & ~ ( p102 @ X )
                                  & ( p101 @ X ) )
                              | ~ ( r1 @ Y @ X ) )
                        & ~ ! [X: $i] :
                              ( ~ ( ~ ( p2 @ X )
                                  & ~ ( p102 @ X )
                                  & ( p101 @ X ) )
                              | ~ ( r1 @ Y @ X ) ) ) )
                    & ( ~ ( ~ ( p102 @ Y )
                          & ( p101 @ Y ) )
                      | ( ~ ! [X: $i] :
                              ( ~ ( ( p3 @ X )
                                  & ~ ( p103 @ X )
                                  & ( p102 @ X ) )
                              | ~ ( r1 @ Y @ X ) )
                        & ~ ! [X: $i] :
                              ( ~ ( ~ ( p3 @ X )
                                  & ~ ( p103 @ X )
                                  & ( p102 @ X ) )
                              | ~ ( r1 @ Y @ X ) ) ) )
                    & ( ~ ( ~ ( p103 @ Y )
                          & ( p102 @ Y ) )
                      | ( ~ ! [X: $i] :
                              ( ~ ( ( p4 @ X )
                                  & ~ ( p104 @ X )
                                  & ( p103 @ X ) )
                              | ~ ( r1 @ Y @ X ) )
                        & ~ ! [X: $i] :
                              ( ~ ( ~ ( p4 @ X )
                                  & ~ ( p104 @ X )
                                  & ( p103 @ X ) )
                              | ~ ( r1 @ Y @ X ) ) ) )
                    & ( ~ ( ~ ( p104 @ Y )
                          & ( p103 @ Y ) )
                      | ( ~ ! [X: $i] :
                              ( ~ ( ( p5 @ X )
                                  & ~ ( p105 @ X )
                                  & ( p104 @ X ) )
                              | ~ ( r1 @ Y @ X ) )
                        & ~ ! [X: $i] :
                              ( ~ ( ~ ( p5 @ X )
                                  & ~ ( p105 @ X )
                                  & ( p104 @ X ) )
                              | ~ ( r1 @ Y @ X ) ) ) )
                    & ( ~ ( ~ ( p105 @ Y )
                          & ( p104 @ Y ) )
                      | ( ~ ! [X: $i] :
                              ( ~ ( ( p6 @ X )
                                  & ~ ( p106 @ X )
                                  & ( p105 @ X ) )
                              | ~ ( r1 @ Y @ X ) )
                        & ~ ! [X: $i] :
                              ( ~ ( ~ ( p6 @ X )
                                  & ~ ( p106 @ X )
                                  & ( p105 @ X ) )
                              | ~ ( r1 @ Y @ X ) ) ) ) )
                  | ~ ( r1 @ X @ Y ) )
              & ~ ( p101 @ X )
              & ( p100 @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ! [Y: $i] :
              ( ( p3 @ Y )
              | ~ ( r1 @ X @ Y ) )
        | ~ ( ! [Y: $i] :
                ( ( ( ~ ( p101 @ Y )
                    | ( p100 @ Y ) )
                  & ( ~ ( p102 @ Y )
                    | ( p101 @ Y ) )
                  & ( ~ ( p103 @ Y )
                    | ( p102 @ Y ) )
                  & ( ~ ( p104 @ Y )
                    | ( p103 @ Y ) )
                  & ( ~ ( p105 @ Y )
                    | ( p104 @ Y ) )
                  & ( ~ ( p106 @ Y )
                    | ( p105 @ Y ) )
                  & ( ~ ( p100 @ Y )
                    | ( ( ~ ( p1 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p100 @ X )
                            | ( p1 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                      & ( ( p1 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p100 @ X )
                            | ~ ( p1 @ X )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                  & ( ~ ( p101 @ Y )
                    | ( ( ~ ( p2 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p101 @ X )
                            | ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                      & ( ( p2 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p101 @ X )
                            | ~ ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                  & ( ~ ( p102 @ Y )
                    | ( ( ~ ( p3 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p102 @ X )
                            | ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                      & ( ( p3 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p102 @ X )
                            | ~ ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                  & ( ~ ( p103 @ Y )
                    | ( ( ~ ( p4 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p103 @ X )
                            | ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                      & ( ( p4 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p103 @ X )
                            | ~ ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                  & ( ~ ( p104 @ Y )
                    | ( ( ~ ( p5 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p104 @ X )
                            | ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                      & ( ( p5 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p104 @ X )
                            | ~ ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                  & ( ~ ( p105 @ Y )
                    | ( ( ~ ( p6 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p105 @ X )
                            | ( p6 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                      & ( ( p6 @ Y )
                        | ! [X: $i] :
                            ( ~ ( p105 @ X )
                            | ~ ( p6 @ X )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                  & ( ~ ( ~ ( p101 @ Y )
                        & ( p100 @ Y ) )
                    | ( ~ ! [X: $i] :
                            ( ~ ( ( p2 @ X )
                                & ~ ( p102 @ X )
                                & ( p101 @ X ) )
                            | ~ ( r1 @ Y @ X ) )
                      & ~ ! [X: $i] :
                            ( ~ ( ~ ( p2 @ X )
                                & ~ ( p102 @ X )
                                & ( p101 @ X ) )
                            | ~ ( r1 @ Y @ X ) ) ) )
                  & ( ~ ( ~ ( p102 @ Y )
                        & ( p101 @ Y ) )
                    | ( ~ ! [X: $i] :
                            ( ~ ( ( p3 @ X )
                                & ~ ( p103 @ X )
                                & ( p102 @ X ) )
                            | ~ ( r1 @ Y @ X ) )
                      & ~ ! [X: $i] :
                            ( ~ ( ~ ( p3 @ X )
                                & ~ ( p103 @ X )
                                & ( p102 @ X ) )
                            | ~ ( r1 @ Y @ X ) ) ) )
                  & ( ~ ( ~ ( p103 @ Y )
                        & ( p102 @ Y ) )
                    | ( ~ ! [X: $i] :
                            ( ~ ( ( p4 @ X )
                                & ~ ( p104 @ X )
                                & ( p103 @ X ) )
                            | ~ ( r1 @ Y @ X ) )
                      & ~ ! [X: $i] :
                            ( ~ ( ~ ( p4 @ X )
                                & ~ ( p104 @ X )
                                & ( p103 @ X ) )
                            | ~ ( r1 @ Y @ X ) ) ) )
                  & ( ~ ( ~ ( p104 @ Y )
                        & ( p103 @ Y ) )
                    | ( ~ ! [X: $i] :
                            ( ~ ( ( p5 @ X )
                                & ~ ( p105 @ X )
                                & ( p104 @ X ) )
                            | ~ ( r1 @ Y @ X ) )
                      & ~ ! [X: $i] :
                            ( ~ ( ~ ( p5 @ X )
                                & ~ ( p105 @ X )
                                & ( p104 @ X ) )
                            | ~ ( r1 @ Y @ X ) ) ) )
                  & ( ~ ( ~ ( p105 @ Y )
                        & ( p104 @ Y ) )
                    | ( ~ ! [X: $i] :
                            ( ~ ( ( p6 @ X )
                                & ~ ( p106 @ X )
                                & ( p105 @ X ) )
                            | ~ ( r1 @ Y @ X ) )
                      & ~ ! [X: $i] :
                            ( ~ ( ~ ( p6 @ X )
                                & ~ ( p106 @ X )
                                & ( p105 @ X ) )
                            | ~ ( r1 @ Y @ X ) ) ) ) )
                | ~ ( r1 @ X @ Y ) )
            & ~ ( p101 @ X )
            & ( p100 @ X ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( p101 @ ( sk__1 @ X0 ) )
      | ( p101 @ X0 )
      | ~ ( p100 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__4 @ X0 ) )
      | ( p102 @ X0 )
      | ~ ( p101 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(reflexivity,axiom,
    ! [X: $i] : ( r1 @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ( p101 @ X0 )
      | ~ ( p100 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(transitivity,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( r1 @ X @ Y )
        & ( r1 @ Y @ Z ) )
     => ( r1 @ X @ Z ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( r1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( p100 @ X0 )
      | ( p101 @ X0 )
      | ~ ( r1 @ ( sk__1 @ X0 ) @ X1 )
      | ( r1 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i] :
      ( ~ ( p100 @ sk_ )
      | ( p101 @ sk_ )
      | ~ ( r1 @ ( sk__1 @ sk_ ) @ X0 )
      | ( r1 @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl111]) ).

thf(zip_derived_cl61,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk_ ) @ X0 )
      | ( r1 @ sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl61,zip_derived_cl60]) ).

thf(zip_derived_cl258,plain,
    ( ~ ( r1 @ sk_ @ ( sk__1 @ sk_ ) )
    | ~ ( p101 @ ( sk__1 @ sk_ ) )
    | ( p102 @ ( sk__1 @ sk_ ) )
    | ( r1 @ sk_ @ ( sk__4 @ ( sk__1 @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl177]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl177_002,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk_ ) @ X0 )
      | ( r1 @ sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl61,zip_derived_cl60]) ).

thf(zip_derived_cl220,plain,
    r1 @ sk_ @ ( sk__1 @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl177]) ).

thf(zip_derived_cl275,plain,
    ( ~ ( p101 @ ( sk__1 @ sk_ ) )
    | ( p102 @ ( sk__1 @ sk_ ) )
    | ( r1 @ sk_ @ ( sk__4 @ ( sk__1 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl220]) ).

thf(zip_derived_cl20_003,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ( p101 @ X0 )
      | ~ ( p100 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ! [X13: $i] :
      ( ( p3 @ X13 )
      | ~ ( r1 @ sk_ @ X13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ~ ( p3 @ ( sk__4 @ X0 ) )
      | ( p102 @ X0 )
      | ~ ( p101 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ ( sk__4 @ X0 ) )
      | ( p102 @ X0 )
      | ~ ( p101 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl33]) ).

thf(zip_derived_cl124,plain,
    ( ~ ( r1 @ sk_ @ sk_ )
    | ~ ( p100 @ sk_ )
    | ( p101 @ sk_ )
    | ~ ( r1 @ sk_ @ ( sk__4 @ ( sk__1 @ sk_ ) ) )
    | ( p102 @ ( sk__1 @ sk_ ) )
    | ~ ( p101 @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl84]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl61_005,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60_006,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    ( ~ ( r1 @ sk_ @ ( sk__4 @ ( sk__1 @ sk_ ) ) )
    | ( p102 @ ( sk__1 @ sk_ ) )
    | ~ ( p101 @ ( sk__1 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl0,zip_derived_cl61,zip_derived_cl60]) ).

thf(zip_derived_cl435,plain,
    ( ( p102 @ ( sk__1 @ sk_ ) )
    | ~ ( p101 @ ( sk__1 @ sk_ ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl275,zip_derived_cl138]) ).

thf(zip_derived_cl437,plain,
    ( ~ ( r1 @ sk_ @ sk_ )
    | ~ ( p100 @ sk_ )
    | ( p101 @ sk_ )
    | ( p102 @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl435]) ).

thf(zip_derived_cl0_007,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl61_008,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60_009,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl439,plain,
    p102 @ ( sk__1 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl437,zip_derived_cl0,zip_derived_cl61,zip_derived_cl60]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ~ ( p102 @ ( sk__1 @ X0 ) )
      | ( p101 @ X0 )
      | ~ ( p100 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl486,plain,
    ( ( p101 @ sk_ )
    | ~ ( p100 @ sk_ )
    | ~ ( r1 @ sk_ @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl22]) ).

thf(zip_derived_cl60_010,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61_011,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl487,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl486,zip_derived_cl60,zip_derived_cl61,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BRVJNHeBcT true
% 0.10/0.37  % Computer : n003.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sat Sep  5 02:07:35 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Running portfolio for 300 s
% 0.10/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38  % Number of cores: 8
% 0.10/0.38  % Python version: Python 3.12.3
% 0.10/0.38  % Running in FO mode
% 0.44/0.66  % Total configuration time : 435
% 0.44/0.66  % Estimated wc time : 1092
% 0.44/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.86  % Solved by fo/fo6_bce.sh.
% 0.50/0.86  % BCE start: 63
% 0.50/0.86  % BCE eliminated: 3
% 0.50/0.86  % PE start: 60
% 0.50/0.86  logic: neq
% 0.50/0.86  % PE eliminated: 0
% 0.50/0.86  % done 85 iterations in 0.096s
% 0.50/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.86  % SZS output start Refutation
% See solution above
% 0.50/0.86  
% 0.50/0.86  
% 0.50/0.86  % Terminating...
% 0.50/0.89  % Runner terminated.
% 1.59/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------