TSTP Solution File: LCL688+1.001 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.k5UMzlKm8T true

% Computer : n016.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 09:01:35 EDT 2023

% Result   : Theorem 183.06s 26.78s
% Output   : Refutation 183.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   90 (  39 unt;  10 typ;   0 def)
%            Number of atoms       :  249 (   0 equ;   0 cnn)
%            Maximal formula atoms :   44 (   3 avg)
%            Number of connectives :  933 ( 192   ~; 157   |;  11   &; 572   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  130 (   0   ^; 128   !;   2   ?; 130   :)

% 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(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_cl6,plain,
    r1 @ sk_ @ sk__10,
    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_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_cl176,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl18]) ).

thf(zip_derived_cl188,plain,
    r1 @ sk__10 @ ( sk__1 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl176]) ).

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_cl229,plain,
    r1 @ ( sk__1 @ sk__10 ) @ ( sk__11 @ ( sk__1 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl5]) ).

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

thf(zip_derived_cl229_002,plain,
    r1 @ ( sk__1 @ sk__10 ) @ ( sk__11 @ ( sk__1 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl5]) ).

thf(zip_derived_cl188_003,plain,
    r1 @ sk__10 @ ( sk__1 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl176]) ).

thf(zip_derived_cl6_004,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_cl34,plain,
    ! [X0: $i] :
      ( ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl230,plain,
    r1 @ sk_ @ ( sk__1 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl34]) ).

thf(zip_derived_cl18_005,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_cl312,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl18]) ).

thf(zip_derived_cl808,plain,
    r1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl312]) ).

thf(zip_derived_cl229_006,plain,
    r1 @ ( sk__1 @ sk__10 ) @ ( sk__11 @ ( sk__1 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl5]) ).

thf(zip_derived_cl188_007,plain,
    r1 @ sk__10 @ ( sk__1 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl176]) ).

thf(zip_derived_cl1_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( r1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity]) ).

thf(zip_derived_cl228,plain,
    ! [X0: $i] :
      ( ( r1 @ sk__10 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl1]) ).

thf(zip_derived_cl806,plain,
    r1 @ sk__10 @ ( sk__11 @ ( sk__1 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl228]) ).

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_cl812,plain,
    ! [X0: $i] :
      ( ( r1 @ sk__10 @ X0 )
      | ~ ( r1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl806,zip_derived_cl1]) ).

thf(zip_derived_cl4521,plain,
    r1 @ sk__10 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl808,zip_derived_cl812]) ).

thf(zip_derived_cl5_010,plain,
    ! [X3: $i] :
      ( ( r1 @ X3 @ ( sk__11 @ X3 ) )
      | ~ ( r1 @ sk__10 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4530,plain,
    r1 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ) @ ( sk__11 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4521,zip_derived_cl5]) ).

thf(zip_derived_cl808_011,plain,
    r1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl312]) ).

thf(zip_derived_cl229_012,plain,
    r1 @ ( sk__1 @ sk__10 ) @ ( sk__11 @ ( sk__1 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl5]) ).

thf(zip_derived_cl1_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( r1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity]) ).

thf(zip_derived_cl805,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ~ ( r1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl1]) ).

thf(zip_derived_cl4520,plain,
    r1 @ ( sk__1 @ sk__10 ) @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl808,zip_derived_cl805]) ).

thf(zip_derived_cl1_014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( r1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity]) ).

thf(zip_derived_cl4568,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ~ ( r1 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4520,zip_derived_cl1]) ).

thf(zip_derived_cl42826,plain,
    r1 @ ( sk__1 @ sk__10 ) @ ( sk__11 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4530,zip_derived_cl4568]) ).

thf(zip_derived_cl230_015,plain,
    r1 @ sk_ @ ( sk__1 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl34]) ).

thf(zip_derived_cl0_016,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_cl458,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( r1 @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( p2 @ X2 )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl25]) ).

thf(zip_derived_cl3704,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('sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl458]) ).

thf(zip_derived_cl6_017,plain,
    r1 @ sk_ @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_018,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_cl94,plain,
    ! [X0: $i] :
      ( ( p2 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).

thf(zip_derived_cl107,plain,
    p2 @ ( sk__1 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl94]) ).

thf(zip_derived_cl3767,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_cl3704,zip_derived_cl107]) ).

thf(zip_derived_cl42934,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ( r1 @ X0 @ ( sk__3 @ X0 ) )
      | ( p2 @ ( sk__11 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42826,zip_derived_cl3767]) ).

thf(zip_derived_cl59643,plain,
    ( ( p2 @ ( sk__11 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ) ) )
    | ( r1 @ ( sk__1 @ sk__10 ) @ ( sk__3 @ ( sk__1 @ sk__10 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl42934]) ).

thf(zip_derived_cl228_019,plain,
    ! [X0: $i] :
      ( ( r1 @ sk__10 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl1]) ).

thf(zip_derived_cl64073,plain,
    ( ( p2 @ ( sk__11 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ) ) )
    | ( r1 @ sk__10 @ ( sk__3 @ ( sk__1 @ sk__10 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59643,zip_derived_cl228]) ).

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_cl64156,plain,
    ( ( r1 @ sk__10 @ ( sk__3 @ ( sk__1 @ sk__10 ) ) )
    | ~ ( r1 @ sk__10 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64073,zip_derived_cl4]) ).

thf(zip_derived_cl4521_020,plain,
    r1 @ sk__10 @ ( sk__1 @ ( sk__11 @ ( sk__1 @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl808,zip_derived_cl812]) ).

thf(zip_derived_cl64157,plain,
    r1 @ sk__10 @ ( sk__3 @ ( sk__1 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl64156,zip_derived_cl4521]) ).

thf(zip_derived_cl6_021,plain,
    r1 @ sk_ @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18_022,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_cl180,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl18]) ).

thf(zip_derived_cl64162,plain,
    r1 @ ( sk__3 @ ( sk__1 @ sk__10 ) ) @ ( sk__1 @ ( sk__3 @ ( sk__1 @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64157,zip_derived_cl180]) ).

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_cl64363,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ X1 @ ( sk__1 @ sk__10 ) )
      | ~ ( p2 @ ( sk__1 @ ( sk__3 @ ( sk__1 @ sk__10 ) ) ) )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( p2 @ X2 )
      | ~ ( r1 @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64162,zip_derived_cl22]) ).

thf(zip_derived_cl64157_023,plain,
    r1 @ sk__10 @ ( sk__3 @ ( sk__1 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl64156,zip_derived_cl4521]) ).

thf(zip_derived_cl6_024,plain,
    r1 @ sk_ @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21_025,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_cl98,plain,
    ! [X0: $i] :
      ( ( p2 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl21]) ).

thf(zip_derived_cl64161,plain,
    p2 @ ( sk__1 @ ( sk__3 @ ( sk__1 @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64157,zip_derived_cl98]) ).

thf(zip_derived_cl64396,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ X1 @ ( sk__1 @ sk__10 ) )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( p2 @ X2 )
      | ~ ( r1 @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl64363,zip_derived_cl64161]) ).

thf(zip_derived_cl64453,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk__10 ) @ ( sk__1 @ sk__10 ) )
      | ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 )
      | ~ ( p2 @ ( sk__1 @ sk__10 ) )
      | ~ ( r1 @ sk_ @ ( sk__1 @ sk__10 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl64396]) ).

thf(zip_derived_cl0_026,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl107_027,plain,
    p2 @ ( sk__1 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl94]) ).

thf(zip_derived_cl230_028,plain,
    r1 @ sk_ @ ( sk__1 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl34]) ).

thf(zip_derived_cl64454,plain,
    ! [X0: $i] :
      ( ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__10 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl64453,zip_derived_cl0,zip_derived_cl107,zip_derived_cl230]) ).

thf(zip_derived_cl64554,plain,
    p2 @ ( sk__11 @ ( sk__1 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl64454]) ).

thf(zip_derived_cl4_029,plain,
    ! [X3: $i] :
      ( ~ ( p2 @ ( sk__11 @ X3 ) )
      | ~ ( r1 @ sk__10 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64588,plain,
    ~ ( r1 @ sk__10 @ ( sk__1 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64554,zip_derived_cl4]) ).

thf(zip_derived_cl188_030,plain,
    r1 @ sk__10 @ ( sk__1 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl176]) ).

thf(zip_derived_cl64589,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl64588,zip_derived_cl188]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.k5UMzlKm8T true
% 0.18/0.36  % Computer : n016.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 : Thu Aug 24 21:52:24 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
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 183.06/26.78  % Solved by fo/fo5.sh.
% 183.06/26.78  % done 25168 iterations in 25.967s
% 183.06/26.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 183.06/26.78  % SZS output start Refutation
% See solution above
% 183.06/26.79  
% 183.06/26.79  
% 183.06/26.79  % Terminating...
% 183.48/26.84  % Runner terminated.
% 183.48/26.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------