TSTP Solution File: NUN066+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN066+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k3PdxuPPTH 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 12:54:19 EDT 2023

% Result   : Theorem 1.39s 0.91s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  106 (  20 unt;  21 typ;   0 def)
%            Number of atoms       :  184 (  70 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  468 (  57   ~;  79   |;  16   &; 312   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   38 (  38   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   2 con; 0-3 aty)
%            Number of variables   :  148 (   0   ^; 136   !;  12   ?; 148   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r3_type,type,
    r3: $i > $i > $i > $o ).

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

thf(sk__20_type,type,
    sk__20: $i > $i ).

thf(sk__23_type,type,
    sk__23: $i > $i ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $i > $o ).

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

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(r2_type,type,
    r2: $i > $i > $o ).

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

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

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

thf(sk__21_type,type,
    sk__21: $i > $i ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $o ).

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

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(sk__22_type,type,
    sk__22: $i > $i ).

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

thf(axiom_1a,axiom,
    ! [X1: $i,X8: $i] :
    ? [Y4: $i] :
      ( ? [Y7: $i] :
          ( ( r3 @ X1 @ X8 @ Y7 )
          & ( r2 @ Y7 @ Y4 ) )
      & ? [Y5: $i] :
          ( ( Y5 = Y4 )
          & ? [Y15: $i] :
              ( ( r3 @ X1 @ Y15 @ Y5 )
              & ( r2 @ X8 @ Y15 ) ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] : ( r2 @ ( sk__5 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

thf(axiom_7a,axiom,
    ! [X7: $i,Y10: $i] :
      ( ~ ( r2 @ X7 @ Y10 )
      | ! [Y20: $i] :
          ( ( Y20 != Y10 )
          | ~ ( r1 @ Y20 ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2 @ X0 @ X1 )
      | ~ ( r1 @ X2 )
      | ( X2 != X1 ) ),
    inference(cnf,[status(esa)],[axiom_7a]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( r2 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i] :
      ~ ( r1 @ ( sk__4 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl60]) ).

thf(axiom_1,axiom,
    ? [Y24: $i] :
    ! [X19: $i] :
      ( ( ~ ( r1 @ X19 )
        & ( X19 != Y24 ) )
      | ( ( r1 @ X19 )
        & ( X19 = Y24 ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_1 @ X19 @ Y24 )
     => ( ( X19 = Y24 )
        & ( r1 @ X19 ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_0 @ X19 @ Y24 )
     => ( ( X19 != Y24 )
        & ~ ( r1 @ X19 ) ) ) ).

thf(zf_stmt_4,axiom,
    ? [Y24: $i] :
    ! [X19: $i] :
      ( ( zip_tseitin_1 @ X19 @ Y24 )
      | ( zip_tseitin_0 @ X19 @ Y24 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ( zip_tseitin_0 @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 @ sk_ )
      | ( X0 = sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( X0 = sk_ )
      | ~ ( r1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1]) ).

thf(nonzerononetwoexist,conjecture,
    ? [Y1: $i] :
      ( ! [Y5: $i] :
          ( ( Y1 != Y5 )
          | ~ ( r1 @ Y5 ) )
      & ! [Y2: $i] :
          ( ( Y1 != Y2 )
          | ! [Y3: $i] :
              ( ~ ( r2 @ Y3 @ Y2 )
              | ! [Y4: $i] :
                  ( ~ ( r2 @ Y4 @ Y3 )
                  | ~ ( r1 @ Y4 ) ) ) ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ? [Y1: $i] :
        ( ! [Y5: $i] :
            ( ( Y1 != Y5 )
            | ~ ( r1 @ Y5 ) )
        & ! [Y2: $i] :
            ( ( Y1 != Y2 )
            | ! [Y3: $i] :
                ( ~ ( r2 @ Y3 @ Y2 )
                | ! [Y4: $i] :
                    ( ~ ( r2 @ Y4 @ Y3 )
                    | ~ ( r1 @ Y4 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[nonzerononetwoexist]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__20 @ X0 ) )
      | ( r1 @ ( sk__23 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i] :
      ( ( ( sk__23 @ X0 )
        = sk_ )
      | ( X0
        = ( sk__20 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl46]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__20 @ X0 ) )
      | ( r2 @ ( sk__23 @ X0 ) @ ( sk__22 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__20 @ X0 ) )
      | ( X0
        = ( sk__20 @ X0 ) )
      | ( r2 @ sk_ @ ( sk__22 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl45]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i] :
      ( ( r2 @ sk_ @ ( sk__22 @ X0 ) )
      | ( X0
        = ( sk__20 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl107]) ).

thf(axiom_2,axiom,
    ! [X11: $i] :
    ? [Y21: $i] :
    ! [X12: $i] :
      ( ( ~ ( r2 @ X11 @ X12 )
        & ( X12 != Y21 ) )
      | ( ( r2 @ X11 @ X12 )
        & ( X12 = Y21 ) ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [X12: $i,Y21: $i,X11: $i] :
      ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 )
     => ( ( X12 = Y21 )
        & ( r2 @ X11 @ X12 ) ) ) ).

thf(zf_stmt_8,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zf_stmt_9,axiom,
    ! [X12: $i,Y21: $i,X11: $i] :
      ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 )
     => ( ( X12 != Y21 )
        & ~ ( r2 @ X11 @ X12 ) ) ) ).

thf(zf_stmt_10,axiom,
    ! [X11: $i] :
    ? [Y21: $i] :
    ! [X12: $i] :
      ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 )
      | ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ ( sk__1 @ X1 ) @ X1 )
      | ( zip_tseitin_2 @ X0 @ ( sk__1 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( zip_tseitin_3 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_2 @ X1 @ ( sk__1 @ X0 ) @ X0 )
      | ( X1
        = ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2 @ X0 @ X1 )
      | ~ ( zip_tseitin_2 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl234,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( sk__1 @ X0 ) )
      | ~ ( r2 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl6]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__20 @ X0 ) )
      | ( ( sk__22 @ X0 )
        = ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl234]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__20 @ X0 ) )
      | ( X0
        = ( sk__21 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__20 @ X0 ) )
      | ( r2 @ ( sk__22 @ X0 ) @ ( sk__21 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__20 @ X0 ) )
      | ( X0
        = ( sk__20 @ X0 ) )
      | ( r2 @ ( sk__22 @ X0 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl47]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ( r2 @ ( sk__22 @ X0 ) @ X0 )
      | ( X0
        = ( sk__20 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl234_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( sk__1 @ X0 ) )
      | ~ ( r2 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl6]) ).

thf(zip_derived_cl264,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__20 @ X0 ) )
      | ( X0
        = ( sk__1 @ ( sk__22 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl234]) ).

thf(zip_derived_cl317,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__20 @ X0 ) )
      | ( X0
        = ( sk__20 @ X0 ) )
      | ( X0
        = ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl261,zip_derived_cl264]) ).

thf(zip_derived_cl329,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__1 @ ( sk__1 @ sk_ ) ) )
      | ( X0
        = ( sk__20 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl317]) ).

thf(zip_derived_cl63_002,plain,
    ! [X0: $i] :
      ( ( X0 = sk_ )
      | ~ ( r1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__20 @ X0 ) )
      | ( r1 @ ( sk__23 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i] :
      ( ( ( sk__23 @ X0 )
        = sk_ )
      | ( r1 @ ( sk__20 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl50]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__20 @ X0 ) )
      | ( r2 @ ( sk__23 @ X0 ) @ ( sk__22 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__20 @ X0 ) )
      | ( r1 @ ( sk__20 @ X0 ) )
      | ( r2 @ sk_ @ ( sk__22 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl72,zip_derived_cl49]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i] :
      ( ( r2 @ sk_ @ ( sk__22 @ X0 ) )
      | ( r1 @ ( sk__20 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl234_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( sk__1 @ X0 ) )
      | ~ ( r2 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl6]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__20 @ X0 ) )
      | ( ( sk__22 @ X0 )
        = ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl234]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__20 @ X0 ) )
      | ( X0
        = ( sk__21 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__20 @ X0 ) )
      | ( r2 @ ( sk__22 @ X0 ) @ ( sk__21 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__20 @ X0 ) )
      | ( r1 @ ( sk__20 @ X0 ) )
      | ( r2 @ ( sk__22 @ X0 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl48,zip_derived_cl51]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ( ( r2 @ ( sk__22 @ X0 ) @ X0 )
      | ( r1 @ ( sk__20 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl164]) ).

thf(zip_derived_cl234_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( sk__1 @ X0 ) )
      | ~ ( r2 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl6]) ).

thf(zip_derived_cl265,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__20 @ X0 ) )
      | ( X0
        = ( sk__1 @ ( sk__22 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl234]) ).

thf(zip_derived_cl369,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__20 @ X0 ) )
      | ( r1 @ ( sk__20 @ X0 ) )
      | ( X0
        = ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl262,zip_derived_cl265]) ).

thf(zip_derived_cl378,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__1 @ ( sk__1 @ sk_ ) ) )
      | ( r1 @ ( sk__20 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl369]) ).

thf(zip_derived_cl884,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__1 @ ( sk__1 @ sk_ ) ) )
      | ( X0
        = ( sk__1 @ ( sk__1 @ sk_ ) ) )
      | ( r1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl329,zip_derived_cl378]) ).

thf(zip_derived_cl889,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 )
      | ( X0
        = ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl884]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

thf(zip_derived_cl21_005,plain,
    ! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

thf(zip_derived_cl234_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( sk__1 @ X0 ) )
      | ~ ( r2 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl6]) ).

thf(zip_derived_cl259,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__7 @ X1 @ X0 )
      = ( sk__1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl234]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl259]) ).

thf(zip_derived_cl935,plain,
    ! [X0: $i] :
      ( ( r1 @ ( sk__1 @ X0 ) )
      | ( r2 @ X0 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl889,zip_derived_cl271]) ).

thf(zip_derived_cl21_007,plain,
    ! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_1a]) ).

thf(zip_derived_cl60_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( r2 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ~ ( r1 @ ( sk__7 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl60]) ).

thf(zip_derived_cl259_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__7 @ X1 @ X0 )
      = ( sk__1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl234]) ).

thf(zip_derived_cl273,plain,
    ! [X1: $i] :
      ~ ( r1 @ ( sk__1 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl259]) ).

thf(zip_derived_cl1042,plain,
    ! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl935,zip_derived_cl273]) ).

thf(axiom_3a,axiom,
    ! [X3: $i,X10: $i] :
      ( ( X3 = X10 )
      | ! [Y12: $i] :
          ( ~ ( r2 @ X10 @ Y12 )
          | ! [Y13: $i] :
              ( ( Y13 != Y12 )
              | ~ ( r2 @ X3 @ Y13 ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ( X3 != X2 )
      | ~ ( r2 @ X1 @ X3 )
      | ~ ( r2 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_3a]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2 @ X1 @ X0 )
      | ~ ( r2 @ X2 @ X0 )
      | ( X2 = X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl1070,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2 @ X1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) )
      | ( X1 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1042,zip_derived_cl92]) ).

thf(zip_derived_cl1042_010,plain,
    ! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl935,zip_derived_cl273]) ).

thf(zip_derived_cl1080,plain,
    ! [X0: $i,X1: $i] : ( X1 = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl1070,zip_derived_cl1042]) ).

thf(zip_derived_cl1080_011,plain,
    ! [X0: $i,X1: $i] : ( X1 = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl1070,zip_derived_cl1042]) ).

thf(axiom_4a,axiom,
    ! [X4: $i] :
    ? [Y9: $i] :
      ( ( Y9 = X4 )
      & ? [Y16: $i] :
          ( ( r3 @ X4 @ Y16 @ Y9 )
          & ( r1 @ Y16 ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

thf(zip_derived_cl63_012,plain,
    ! [X0: $i] :
      ( ( X0 = sk_ )
      | ~ ( r1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl1]) ).

thf(zip_derived_cl32_013,plain,
    ! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( sk__13 @ X0 )
      = sk_ ),
    inference('s_sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl32]) ).

thf(zip_derived_cl78,plain,
    r1 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl68]) ).

thf(zip_derived_cl1083,plain,
    ! [X0: $i] : ( r1 @ X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1080,zip_derived_cl78]) ).

thf(zip_derived_cl1233,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl1080,zip_derived_cl1083]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN066+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k3PdxuPPTH true
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 10:17:34 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.39/0.91  % Solved by fo/fo13.sh.
% 1.39/0.91  % done 200 iterations in 0.128s
% 1.39/0.91  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.39/0.91  % SZS output start Refutation
% See solution above
% 1.39/0.91  
% 1.39/0.91  
% 1.39/0.91  % Terminating...
% 1.52/0.96  % Runner terminated.
% 1.52/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------