TSTP Solution File: LCL670+1.001 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL670+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.TqpxFN1GLd true

% Computer : n026.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 09:01:21 EDT 2023

% Result   : Theorem 13.83s 2.62s
% Output   : Refutation 13.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  111 (  41 unt;  12 typ;   0 def)
%            Number of atoms       :  338 (   0 equ;   0 cnn)
%            Maximal formula atoms :   49 (   3 avg)
%            Number of connectives : 1266 ( 257   ~; 231   |;   8   &; 770   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :  162 (   0   ^; 160   !;   2   ?; 162   :)

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

thf(sk__5_type,type,
    sk__5: $i > $i ).

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

thf(sk__12_type,type,
    sk__12: $i ).

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

thf(sk__7_type,type,
    sk__7: $i > $i ).

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

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

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

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

thf(sk__13_type,type,
    sk__13: $i > $i ).

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

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 ) )
                    | ( ~ ! [X: $i] :
                            ( ! [Y: $i] :
                                ( ~ ! [X: $i] :
                                      ( ~ ( p2 @ X )
                                      | ! [Y: $i] :
                                          ( ( p3 @ Y )
                                          | ~ ( r1 @ X @ Y ) )
                                      | ~ ( r1 @ Y @ X ) )
                                | ~ ( r1 @ X @ Y ) )
                            | ~ ( r1 @ Y @ X ) )
                      & ! [X: $i] :
                          ( ~ ! [Y: $i] :
                                ( ~ ( p2 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) ) ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ! [Y: $i] :
                ( ~ ( ~ ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ( p1 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ! [X: $i] :
                        ( ( p1 @ X )
                        | ~ ( 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 ) )
          | ! [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 ) )
                  | ( ~ ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ~ ! [X: $i] :
                                    ( ~ ( p2 @ X )
                                    | ! [Y: $i] :
                                        ( ( p3 @ Y )
                                        | ~ ( r1 @ X @ Y ) )
                                    | ~ ( r1 @ Y @ X ) )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                    & ! [X: $i] :
                        ( ~ ! [Y: $i] :
                              ( ~ ( p2 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) ) ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ! [Y: $i] :
              ( ~ ( ~ ! [X: $i] :
                        ( ! [Y: $i] :
                            ( ( p1 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ( r1 @ Y @ X ) )
                  & ! [X: $i] :
                      ( ( p1 @ X )
                      | ~ ( 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 ) )
        | ! [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,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,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_cl44,plain,
    ! [X0: $i] :
      ( ( p2 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__12 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl16]) ).

thf(zip_derived_cl5_001,plain,
    r1 @ sk_ @ sk__12,
    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_cl13,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_cl36,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl13]) ).

thf(zip_derived_cl41,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl5_002,plain,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ! [X8: $i,X14: $i,X15: $i] :
      ( ( r1 @ X8 @ ( sk__7 @ X8 ) )
      | ~ ( r1 @ X14 @ X15 )
      | ( p2 @ ( sk__5 @ X15 ) )
      | ~ ( r1 @ X8 @ X14 )
      | ~ ( r1 @ sk_ @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1113,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__12 @ X0 )
      | ( p2 @ ( sk__5 @ X1 ) )
      | ~ ( r1 @ X0 @ X1 )
      | ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl23]) ).

thf(zip_derived_cl1243,plain,
    ! [X0: $i] :
      ( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ( p2 @ ( sk__5 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl1113]) ).

thf(zip_derived_cl41_003,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

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

thf(zip_derived_cl0_005,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl16_006,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_cl35,plain,
    ! [X0: $i] :
      ( ( p2 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).

thf(zip_derived_cl41_007,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl5_008,plain,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,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_cl1426,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( r1 @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ X1 @ X2 )
      | ( p2 @ X2 )
      | ~ ( r1 @ sk__12 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl20]) ).

thf(zip_derived_cl2718,plain,
    ! [X0: $i,X1: $i] :
      ( ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ~ ( p2 @ ( sk__1 @ sk__12 ) )
      | ( r1 @ X1 @ ( sk__3 @ X1 ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl1426]) ).

thf(zip_derived_cl2726,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ sk__12 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ( r1 @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 )
      | ( p2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl2718]) ).

thf(zip_derived_cl5_009,plain,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2733,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ( r1 @ X0 @ ( sk__3 @ X0 ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 )
      | ( p2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2726,zip_derived_cl5]) ).

thf(zip_derived_cl2735,plain,
    ! [X0: $i] :
      ( ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ( r1 @ ( sk__1 @ sk__12 ) @ ( sk__3 @ ( sk__1 @ sk__12 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2733]) ).

thf(zip_derived_cl3,plain,
    ! [X3: $i] :
      ( ~ ( p2 @ ( sk__13 @ X3 ) )
      | ~ ( r1 @ sk__12 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2985,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__1 @ sk__12 ) @ ( sk__3 @ ( sk__1 @ sk__12 ) ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ ( sk__13 @ X0 ) )
      | ~ ( r1 @ sk__12 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2735,zip_derived_cl3]) ).

thf(zip_derived_cl3744,plain,
    ( ~ ( r1 @ ( sk__1 @ sk__12 ) @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
    | ( r1 @ ( sk__1 @ sk__12 ) @ ( sk__3 @ ( sk__1 @ sk__12 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl2985]) ).

thf(zip_derived_cl41_010,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i] :
      ( ( r1 @ X3 @ ( sk__13 @ X3 ) )
      | ~ ( r1 @ sk__12 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    r1 @ ( sk__1 @ sk__12 ) @ ( sk__13 @ ( sk__1 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl4]) ).

thf(zip_derived_cl3747,plain,
    r1 @ ( sk__1 @ sk__12 ) @ ( sk__3 @ ( sk__1 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3744,zip_derived_cl57]) ).

thf(zip_derived_cl41_011,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl5_012,plain,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ! [X8: $i,X14: $i,X15: $i] :
      ( ( r1 @ X8 @ ( sk__7 @ X8 ) )
      | ~ ( r1 @ X14 @ X15 )
      | ( r1 @ X15 @ ( sk__5 @ X15 ) )
      | ~ ( r1 @ X8 @ X14 )
      | ~ ( r1 @ sk_ @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4519,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__12 @ X0 )
      | ( r1 @ X1 @ ( sk__5 @ X1 ) )
      | ~ ( r1 @ X0 @ X1 )
      | ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).

thf(zip_derived_cl7448,plain,
    ! [X0: $i] :
      ( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ( r1 @ X0 @ ( sk__5 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl4519]) ).

thf(zip_derived_cl7461,plain,
    ( ( r1 @ ( sk__3 @ ( sk__1 @ sk__12 ) ) @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk__12 ) ) ) )
    | ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3747,zip_derived_cl7448]) ).

thf(zip_derived_cl57_013,plain,
    r1 @ ( sk__1 @ sk__12 ) @ ( sk__13 @ ( sk__1 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl4]) ).

thf(zip_derived_cl0_014,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl35_015,plain,
    ! [X0: $i] :
      ( ( p2 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).

thf(zip_derived_cl41_016,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl5_017,plain,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,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_cl398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ ( sk__3 @ X0 ) @ X2 )
      | ~ ( p2 @ X2 )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ X1 @ X3 )
      | ( p2 @ X3 )
      | ~ ( r1 @ sk__12 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl17]) ).

thf(zip_derived_cl855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ~ ( p2 @ ( sk__1 @ sk__12 ) )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ ( sk__3 @ X2 ) @ X1 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl398]) ).

thf(zip_derived_cl858,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ sk_ @ sk__12 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ~ ( r1 @ ( sk__3 @ X0 ) @ X1 )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X2 )
      | ( p2 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl855]) ).

thf(zip_derived_cl5_018,plain,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl866,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ~ ( r1 @ ( sk__3 @ X0 ) @ X1 )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X2 )
      | ( p2 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl858,zip_derived_cl5]) ).

thf(zip_derived_cl868,plain,
    ! [X0: $i,X1: $i] :
      ( ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ~ ( p2 @ X1 )
      | ~ ( r1 @ ( sk__3 @ ( sk__1 @ sk__12 ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl866]) ).

thf(zip_derived_cl878,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__3 @ ( sk__1 @ sk__12 ) ) @ X0 )
      | ~ ( p2 @ X0 )
      | ( p2 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl868]) ).

thf(zip_derived_cl8551,plain,
    ( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
    | ( p2 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
    | ~ ( p2 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk__12 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7461,zip_derived_cl878]) ).

thf(zip_derived_cl8787,plain,
    ( ~ ( r1 @ ( sk__1 @ sk__12 ) @ ( sk__3 @ ( sk__1 @ sk__12 ) ) )
    | ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
    | ( p2 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
    | ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1243,zip_derived_cl8551]) ).

thf(zip_derived_cl3747_019,plain,
    r1 @ ( sk__1 @ sk__12 ) @ ( sk__3 @ ( sk__1 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3744,zip_derived_cl57]) ).

thf(zip_derived_cl8792,plain,
    ( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
    | ( p2 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
    | ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8787,zip_derived_cl3747]) ).

thf(zip_derived_cl8793,plain,
    ( ( p2 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
    | ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8792]) ).

thf(zip_derived_cl3_020,plain,
    ! [X3: $i] :
      ( ~ ( p2 @ ( sk__13 @ X3 ) )
      | ~ ( r1 @ sk__12 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8796,plain,
    ( ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
    | ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8793,zip_derived_cl3]) ).

thf(zip_derived_cl41_021,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl8797,plain,
    r1 @ sk__12 @ ( sk__7 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl8796,zip_derived_cl41]) ).

thf(zip_derived_cl5_022,plain,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_023,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_cl43,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__12 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).

thf(zip_derived_cl8799,plain,
    r1 @ ( sk__7 @ sk__12 ) @ ( sk__1 @ ( sk__7 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8797,zip_derived_cl43]) ).

thf(zip_derived_cl41_024,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl5_025,plain,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ! [X8: $i,X14: $i,X15: $i,X16: $i] :
      ( ~ ( r1 @ ( sk__7 @ X8 ) @ X16 )
      | ~ ( p2 @ X16 )
      | ~ ( r1 @ X14 @ X15 )
      | ( p2 @ ( sk__5 @ X15 ) )
      | ~ ( r1 @ X8 @ X14 )
      | ~ ( r1 @ sk_ @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl285,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ sk__12 @ X0 )
      | ( p2 @ ( sk__5 @ X1 ) )
      | ~ ( r1 @ X0 @ X1 )
      | ~ ( p2 @ X2 )
      | ~ ( r1 @ ( sk__7 @ sk__12 ) @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl24]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
      | ~ ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 )
      | ( p2 @ ( sk__5 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl285]) ).

thf(zip_derived_cl8845,plain,
    ! [X0: $i] :
      ( ( p2 @ ( sk__5 @ X0 ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ~ ( p2 @ ( sk__1 @ ( sk__7 @ sk__12 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8799,zip_derived_cl341]) ).

thf(zip_derived_cl9193,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ( p2 @ ( sk__5 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl8845]) ).

thf(zip_derived_cl8797_026,plain,
    r1 @ sk__12 @ ( sk__7 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl8796,zip_derived_cl41]) ).

thf(zip_derived_cl9199,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ( p2 @ ( sk__5 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9193,zip_derived_cl8797]) ).

thf(zip_derived_cl3747_027,plain,
    r1 @ ( sk__1 @ sk__12 ) @ ( sk__3 @ ( sk__1 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3744,zip_derived_cl57]) ).

thf(zip_derived_cl44_028,plain,
    ! [X0: $i] :
      ( ( p2 @ ( sk__1 @ X0 ) )
      | ~ ( r1 @ sk__12 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl16]) ).

thf(zip_derived_cl8799_029,plain,
    r1 @ ( sk__7 @ sk__12 ) @ ( sk__1 @ ( sk__7 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8797,zip_derived_cl43]) ).

thf(zip_derived_cl41_030,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl5_031,plain,
    r1 @ sk_ @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ! [X8: $i,X14: $i,X15: $i,X16: $i] :
      ( ~ ( r1 @ ( sk__7 @ X8 ) @ X16 )
      | ~ ( p2 @ X16 )
      | ~ ( r1 @ X14 @ X15 )
      | ( r1 @ X15 @ ( sk__5 @ X15 ) )
      | ~ ( r1 @ X8 @ X14 )
      | ~ ( r1 @ sk_ @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl996,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ sk__12 @ X0 )
      | ( r1 @ X1 @ ( sk__5 @ X1 ) )
      | ~ ( r1 @ X0 @ X1 )
      | ~ ( p2 @ X2 )
      | ~ ( r1 @ ( sk__7 @ sk__12 ) @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl30]) ).

thf(zip_derived_cl1053,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ ( sk__7 @ sk__12 ) @ X0 )
      | ~ ( p2 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X1 )
      | ( r1 @ X1 @ ( sk__5 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl996]) ).

thf(zip_derived_cl8851,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__5 @ X0 ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ~ ( p2 @ ( sk__1 @ ( sk__7 @ sk__12 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8799,zip_derived_cl1053]) ).

thf(zip_derived_cl9434,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk__12 @ ( sk__7 @ sk__12 ) )
      | ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ( r1 @ X0 @ ( sk__5 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl8851]) ).

thf(zip_derived_cl8797_032,plain,
    r1 @ sk__12 @ ( sk__7 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl8796,zip_derived_cl41]) ).

thf(zip_derived_cl9440,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__1 @ sk__12 ) @ X0 )
      | ( r1 @ X0 @ ( sk__5 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9434,zip_derived_cl8797]) ).

thf(zip_derived_cl9445,plain,
    r1 @ ( sk__3 @ ( sk__1 @ sk__12 ) ) @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3747,zip_derived_cl9440]) ).

thf(zip_derived_cl878_033,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ ( sk__3 @ ( sk__1 @ sk__12 ) ) @ X0 )
      | ~ ( p2 @ X0 )
      | ( p2 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl868]) ).

thf(zip_derived_cl9546,plain,
    ( ( p2 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) )
    | ~ ( p2 @ ( sk__5 @ ( sk__3 @ ( sk__1 @ sk__12 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9445,zip_derived_cl878]) ).

thf(zip_derived_cl9718,plain,
    ( ~ ( r1 @ ( sk__1 @ sk__12 ) @ ( sk__3 @ ( sk__1 @ sk__12 ) ) )
    | ( p2 @ ( sk__13 @ ( sk__1 @ sk__12 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9199,zip_derived_cl9546]) ).

thf(zip_derived_cl3747_034,plain,
    r1 @ ( sk__1 @ sk__12 ) @ ( sk__3 @ ( sk__1 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3744,zip_derived_cl57]) ).

thf(zip_derived_cl9721,plain,
    p2 @ ( sk__13 @ ( sk__1 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9718,zip_derived_cl3747]) ).

thf(zip_derived_cl3_035,plain,
    ! [X3: $i] :
      ( ~ ( p2 @ ( sk__13 @ X3 ) )
      | ~ ( r1 @ sk__12 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9722,plain,
    ~ ( r1 @ sk__12 @ ( sk__1 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9721,zip_derived_cl3]) ).

thf(zip_derived_cl41_036,plain,
    r1 @ sk__12 @ ( sk__1 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl9723,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl9722,zip_derived_cl41]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : LCL670+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TqpxFN1GLd true
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug 25 03:46:47 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 13.83/2.62  % Solved by fo/fo7.sh.
% 13.83/2.62  % done 1748 iterations in 1.830s
% 13.83/2.62  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.83/2.62  % SZS output start Refutation
% See solution above
% 13.83/2.62  
% 13.83/2.62  
% 13.83/2.62  % Terminating...
% 14.32/2.68  % Runner terminated.
% 14.32/2.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------