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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V0F1wLsRGD true

% Computer : n006.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 01:37:02 PM UTC 2026

% Result   : Theorem 209.50s 35.51s
% Output   : Refutation 209.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   63 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :  245 (   0 equ;   0 cnn)
%            Maximal formula atoms :   44 (   3 avg)
%            Number of connectives :  888 ( 202   ~; 170   |;  11   &; 504   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  133 (   0   ^; 131   !;   2   ?; 133   :)

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

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

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

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

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

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

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

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

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(sk__11_type,type,
    sk__11: $i > $i ).

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

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

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ! [Y: $i] :
                ( ~ ( p4 @ Y )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ~ ! [Y: $i] :
                                ( ~ ( p2 @ Y )
                                | ! [X: $i] :
                                    ( ( p3 @ X )
                                    | ~ ( r1 @ Y @ X ) )
                                | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    | ~ ! [X: $i] :
                          ( ~ ( ~ ! [Y: $i] :
                                    ( ~ ( ! [X: $i] :
                                            ( ( p3 @ X )
                                            | ~ ( r1 @ Y @ X ) )
                                        | ~ ( p2 @ Y ) )
                                    | ~ ( r1 @ X @ Y ) )
                              & ( p2 @ X )
                              & ~ ! [Y: $i] :
                                    ( ~ ! [X: $i] :
                                          ( ~ ! [Y: $i] :
                                                ( ~ ( p2 @ Y )
                                                | ~ ( r1 @ X @ Y ) )
                                          | ~ ( r1 @ Y @ X ) )
                                    | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
          | ( ~ ( p1 @ X )
            & ~ ! [Y: $i] :
                  ( ~ ! [X: $i] :
                        ( ( p1 @ X )
                        | ~ ( r1 @ Y @ X ) )
                  | ~ ( r1 @ X @ Y ) )
            & ! [Y: $i] :
                ( ~ ! [X: $i] :
                      ( ~ ( ~ ! [Y: $i] :
                                ( ( p1 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                          & ( p1 @ X ) )
                      | ~ ( r1 @ Y @ X ) )
                | ( p1 @ Y )
                | ~ ( r1 @ X @ Y ) ) )
          | ! [Y: $i] :
              ( ! [X: $i] :
                  ( ( p1 @ X )
                  | ~ ( r1 @ Y @ X ) )
              | ! [X: $i] :
                  ( ~ ! [Y: $i] :
                        ( ( p1 @ Y )
                        | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ~ ! [X: $i] :
                    ( ~ ! [Y: $i] :
                          ( ( p2 @ Y )
                          | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ! [X: $i] :
                      ( ~ ( p1 @ X )
                      | ~ ( r1 @ Y @ X ) )
                | ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ~ ( p1 @ Y )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ! [Y: $i] :
              ( ~ ( p4 @ Y )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ~ ! [Y: $i] :
                              ( ~ ( p2 @ Y )
                              | ! [X: $i] :
                                  ( ( p3 @ X )
                                  | ~ ( r1 @ Y @ X ) )
                              | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  | ~ ! [X: $i] :
                        ( ~ ( ~ ! [Y: $i] :
                                  ( ~ ( ! [X: $i] :
                                          ( ( p3 @ X )
                                          | ~ ( r1 @ Y @ X ) )
                                      | ~ ( p2 @ Y ) )
                                  | ~ ( r1 @ X @ Y ) )
                            & ( p2 @ X )
                            & ~ ! [Y: $i] :
                                  ( ~ ! [X: $i] :
                                        ( ~ ! [Y: $i] :
                                              ( ~ ( p2 @ Y )
                                              | ~ ( r1 @ X @ Y ) )
                                        | ~ ( r1 @ Y @ X ) )
                                  | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) ) )
              | ~ ( r1 @ X @ Y ) )
        | ( ~ ( p1 @ X )
          & ~ ! [Y: $i] :
                ( ~ ! [X: $i] :
                      ( ( p1 @ X )
                      | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          & ! [Y: $i] :
              ( ~ ! [X: $i] :
                    ( ~ ( ~ ! [Y: $i] :
                              ( ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                        & ( p1 @ X ) )
                    | ~ ( r1 @ Y @ X ) )
              | ( p1 @ Y )
              | ~ ( r1 @ X @ Y ) ) )
        | ! [Y: $i] :
            ( ! [X: $i] :
                ( ( p1 @ X )
                | ~ ( r1 @ Y @ X ) )
            | ! [X: $i] :
                ( ~ ! [Y: $i] :
                      ( ( p1 @ Y )
                      | ~ ( r1 @ X @ Y ) )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ~ ! [X: $i] :
                  ( ~ ! [Y: $i] :
                        ( ( p2 @ Y )
                        | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ! [X: $i] :
                    ( ~ ( p1 @ X )
                    | ~ ( r1 @ Y @ X ) )
              | ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ~ ( p1 @ Y )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl5,plain,
    ! [X3: $i] :
      ( ( r1 @ X3 @ ( sk__11 @ X3 ) )
      | ~ ( r1 @ sk__10 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl21,plain,
    ! [X8: $i,X9: $i] :
      ( ~ ( r1 @ X8 @ X9 )
      | ( p2 @ ( sk__1 @ X9 ) )
      | ~ ( r1 @ sk_ @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( p2 @ ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl18,plain,
    ! [X8: $i,X9: $i] :
      ( ~ ( r1 @ X8 @ X9 )
      | ( r1 @ X9 @ ( sk__1 @ X9 ) )
      | ~ ( r1 @ sk_ @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( r1 @ X0 @ ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl18]) ).

thf(zip_derived_cl6,plain,
    r1 @ sk_ @ sk__10,
    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_cl30,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk__10 @ X0 )
      | ( r1 @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl185,plain,
    ( ~ ( r1 @ sk_ @ sk__10 )
    | ( r1 @ sk_ @ ( sk__1 @ sk__10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl30]) ).

thf(zip_derived_cl6_003,plain,
    r1 @ sk_ @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201,plain,
    r1 @ sk_ @ ( sk__1 @ sk__10 ),
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl6]) ).

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

thf(zip_derived_cl25,plain,
    ! [X8: $i,X10: $i,X11: $i,X13: $i] :
      ( ~ ( r1 @ X8 @ X10 )
      | ( p2 @ X11 )
      | ~ ( r1 @ X10 @ X11 )
      | ~ ( p2 @ X10 )
      | ( r1 @ X13 @ ( sk__3 @ X13 ) )
      | ~ ( r1 @ X10 @ X13 )
      | ~ ( r1 @ sk_ @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl311,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( p2 @ X1 )
      | ~ ( r1 @ X0 @ X1 )
      | ~ ( p2 @ X0 )
      | ( r1 @ X2 @ ( sk__3 @ X2 ) )
      | ~ ( r1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl25]) ).

thf(zip_derived_cl641,plain,
    ! [X0: $i,X1: $i] :
      ( ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ~ ( p2 @ ( sk__1 @ sk__10 ) )
      | ( r1 @ X1 @ ( sk__3 @ X1 ) )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl201,zip_derived_cl311]) ).

thf(zip_derived_cl8956,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ sk__10 )
      | ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ( r1 @ X1 @ ( sk__3 @ X1 ) )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl641]) ).

thf(zip_derived_cl6_005,plain,
    r1 @ sk_ @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8976,plain,
    ! [X0: $i,X1: $i] :
      ( ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ( r1 @ X1 @ ( sk__3 @ X1 ) )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8956,zip_derived_cl6]) ).

thf(zip_derived_cl9208,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk__10 @ ( sk__1 @ sk__10 ) )
      | ( p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) )
      | ( r1 @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8976]) ).

thf(zip_derived_cl0_006,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl6_007,plain,
    r1 @ sk_ @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl149_008,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( r1 @ X0 @ ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl18]) ).

thf(zip_derived_cl1_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( r1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ ( sk__1 @ X0 ) @ X1 )
      | ( r1 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl1]) ).

thf(zip_derived_cl921,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ( r1 @ sk__10 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl172]) ).

thf(zip_derived_cl1726,plain,
    r1 @ sk__10 @ ( sk__1 @ sk__10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl921]) ).

thf(zip_derived_cl9236,plain,
    ! [X0: $i] :
      ( ( p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) )
      | ( r1 @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9208,zip_derived_cl1726]) ).

thf(zip_derived_cl75919,plain,
    ( ( p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) )
    | ( r1 @ ( sk__1 @ sk__10 ) @ ( sk__3 @ ( sk__1 @ sk__10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl9236]) ).

thf(zip_derived_cl201_010,plain,
    r1 @ sk_ @ ( sk__1 @ sk__10 ),
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl6]) ).

thf(zip_derived_cl1_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( r1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ( r1 @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl201,zip_derived_cl1]) ).

thf(zip_derived_cl97084,plain,
    ( ( p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) )
    | ( r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk__10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl75919,zip_derived_cl300]) ).

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

thf(zip_derived_cl149_013,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( r1 @ X0 @ ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl18]) ).

thf(zip_derived_cl5_014,plain,
    ! [X3: $i] :
      ( ( r1 @ X3 @ ( sk__11 @ X3 ) )
      | ~ ( r1 @ sk__10 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl234_015,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( p2 @ ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).

thf(zip_derived_cl201_016,plain,
    r1 @ sk_ @ ( sk__1 @ sk__10 ),
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl6]) ).

thf(zip_derived_cl0_017,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl22,plain,
    ! [X8: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( r1 @ X8 @ X10 )
      | ( p2 @ X11 )
      | ~ ( r1 @ X10 @ X11 )
      | ~ ( p2 @ X10 )
      | ~ ( p2 @ X12 )
      | ~ ( r1 @ ( sk__3 @ X13 ) @ X12 )
      | ~ ( r1 @ X10 @ X13 )
      | ~ ( r1 @ sk_ @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( p2 @ X1 )
      | ~ ( r1 @ X0 @ X1 )
      | ~ ( p2 @ X0 )
      | ~ ( p2 @ X2 )
      | ~ ( r1 @ ( sk__3 @ X3 ) @ X2 )
      | ~ ( r1 @ X0 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl22]) ).

thf(zip_derived_cl449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ~ ( p2 @ ( sk__1 @ sk__10 ) )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ ( sk__3 @ X2 ) @ X1 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl201,zip_derived_cl261]) ).

thf(zip_derived_cl4241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ sk_ @ sk__10 )
      | ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ ( sk__3 @ X2 ) @ X1 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl449]) ).

thf(zip_derived_cl6_018,plain,
    r1 @ sk_ @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4258,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ ( sk__3 @ X2 ) @ X1 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4241,zip_derived_cl6]) ).

thf(zip_derived_cl4268,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__10 @ ( sk__1 @ sk__10 ) )
      | ( p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) )
      | ~ ( p2 @ X0 )
      | ~ ( r1 @ ( sk__3 @ X1 ) @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4258]) ).

thf(zip_derived_cl1726_019,plain,
    r1 @ sk__10 @ ( sk__1 @ sk__10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl921]) ).

thf(zip_derived_cl4285,plain,
    ! [X0: $i,X1: $i] :
      ( ( p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) )
      | ~ ( p2 @ X0 )
      | ~ ( r1 @ ( sk__3 @ X1 ) @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4268,zip_derived_cl1726]) ).

thf(zip_derived_cl14222,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ ( sk__3 @ X0 ) )
      | ( p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) )
      | ~ ( p2 @ ( sk__1 @ ( sk__3 @ X0 ) ) )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl4285]) ).

thf(zip_derived_cl234_020,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( p2 @ ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).

thf(zip_derived_cl40201,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ( p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) )
      | ~ ( r1 @ sk_ @ ( sk__3 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl14222,zip_derived_cl234]) ).

thf(zip_derived_cl40202,plain,
    ( ( p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) )
    | ~ ( r1 @ sk_ @ ( sk__3 @ ( sk__1 @ sk__10 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl40201]) ).

thf(zip_derived_cl97228,plain,
    p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ),
    inference(clc,[status(thm)],[zip_derived_cl97084,zip_derived_cl40202]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i] :
      ( ~ ( p2 @ ( sk__11 @ X3 ) )
      | ~ ( r1 @ sk__10 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl97233,plain,
    ~ ( r1 @ sk__10 @ ( sk__1 @ sk__10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl97228,zip_derived_cl4]) ).

thf(zip_derived_cl1726_021,plain,
    r1 @ sk__10 @ ( sk__1 @ sk__10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl921]) ).

thf(zip_derived_cl97234,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl97233,zip_derived_cl1726]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V0F1wLsRGD true
% 0.10/0.35  % Computer : n006.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Fri Sep  4 17:57:46 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.35  % Running portfolio for 300 s
% 0.10/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Number of cores: 8
% 0.10/0.36  % Python version: Python 3.12.3
% 0.10/0.36  % Running in FO mode
% 0.46/0.65  % Total configuration time : 435
% 0.46/0.65  % Estimated wc time : 1092
% 0.46/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 209.50/35.51  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 209.50/35.51  % Solved by fo/fo6_bce.sh.
% 209.50/35.51  % BCE start: 29
% 209.50/35.51  % BCE eliminated: 4
% 209.50/35.51  % PE start: 25
% 209.50/35.51  logic: neq
% 209.50/35.51  % PE eliminated: 0
% 209.50/35.51  % done 21998 iterations in 34.741s
% 209.50/35.51  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 209.50/35.51  % SZS output start Refutation
% See solution above
% 209.50/35.51  
% 209.50/35.51  
% 209.50/35.52  % Terminating...
% 209.50/35.59  % Runner terminated.
% 36.28/35.61  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------