TSTP Solution File: SWV384+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV384+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YsuxfUe7Yp true

% Computer : n003.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 : Fri Sep  1 00:09:30 EDT 2023

% Result   : Theorem 0.56s 0.79s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   94 (  17 unt;  26 typ;   0 def)
%            Number of atoms       :  188 (   5 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 1051 ( 134   ~;  82   |;   2   &; 797   @)
%                                         (   0 <=>;  20  =>;  16  <=;   0 <~>)
%            Maximal formula depth :   18 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   38 (  38   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;  14 con; 0-6 aty)
%            Number of variables   :  189 (   0   ^; 189   !;   0   ?; 189   :)

% Comments : 
%------------------------------------------------------------------------------
thf(succ_cpq_type,type,
    succ_cpq: $i > $i > $o ).

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

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

thf(im_succ_cpq_type,type,
    im_succ_cpq: $i > $i ).

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

thf(check_cpq_type,type,
    check_cpq: $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

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

thf(bad_type,type,
    bad: $i ).

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

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

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

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

thf(ok_type,type,
    ok: $i > $o ).

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

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

thf(sk__6_type,type,
    sk__6: $i ).

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

thf(sk__8_type,type,
    sk__8: $i ).

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

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

thf(l20_induction,axiom,
    ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
        ( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
       => ( ( ~ ( ok @ ( triple @ X @ Y @ Z ) )
            | ~ ( check_cpq @ ( triple @ X @ Y @ Z ) ) )
         => ( ~ ( ok @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) )
            | ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) ) ) ) )
   => ! [X1: $i,X2: $i,X3: $i] :
        ( ( ~ ( ok @ ( triple @ X1 @ X2 @ X3 ) )
          | ~ ( check_cpq @ ( triple @ X1 @ X2 @ X3 ) ) )
       => ! [X4: $i,X5: $i,X6: $i] :
            ( ( succ_cpq @ ( triple @ X1 @ X2 @ X3 ) @ ( triple @ X4 @ X5 @ X6 ) )
           => ( ~ ( check_cpq @ ( triple @ X4 @ X5 @ X6 ) )
              | ~ ( ok @ ( triple @ X4 @ X5 @ X6 ) ) ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i] :
      ( ( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
       => ( zip_tseitin_1 @ Z @ Y @ X ) )
     => ( zip_tseitin_2 @ Z @ Y @ X @ W @ V @ U ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 )
      | ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( ~ ( check_cpq @ ( triple @ X1 @ X2 @ X3 ) )
        | ~ ( ok @ ( triple @ X1 @ X2 @ X3 ) ) )
     => ( zip_tseitin_3 @ X3 @ X2 @ X1 ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_2: $i > $i > $i > $i > $i > $i > $o ).

thf(zf_stmt_4,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_5,axiom,
    ! [Z: $i,Y: $i,X: $i] :
      ( ( ( ~ ( check_cpq @ ( triple @ X @ Y @ Z ) )
          | ~ ( ok @ ( triple @ X @ Y @ Z ) ) )
       => ( zip_tseitin_0 @ Z @ Y @ X ) )
     => ( zip_tseitin_1 @ Z @ Y @ X ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [Z: $i,Y: $i,X: $i] :
      ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) )
        | ~ ( ok @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) ) )
     => ( zip_tseitin_0 @ Z @ Y @ X ) ) ).

thf(zf_stmt_8,axiom,
    ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] : ( zip_tseitin_2 @ Z @ Y @ X @ W @ V @ U )
   => ! [X1: $i,X2: $i,X3: $i] :
        ( ( zip_tseitin_3 @ X3 @ X2 @ X1 )
       => ! [X4: $i,X5: $i,X6: $i] :
            ( ( succ_cpq @ ( triple @ X1 @ X2 @ X3 ) @ ( triple @ X4 @ X5 @ X6 ) )
           => ( ~ ( ok @ ( triple @ X4 @ X5 @ X6 ) )
              | ~ ( check_cpq @ ( triple @ X4 @ X5 @ X6 ) ) ) ) ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
      | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
      | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
      | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) )
      | ~ ( zip_tseitin_2 @ sk__5 @ sk__4 @ sk__3 @ sk__2 @ sk__1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl66,plain,
    ( ~ ( zip_tseitin_2 @ sk__5 @ sk__4 @ sk__3 @ sk__2 @ sk__1 @ sk_ )
   <= ~ ( zip_tseitin_2 @ sk__5 @ sk__4 @ sk__3 @ sk__2 @ sk__1 @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
      | ( ok @ ( triple @ X2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(ax41,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ~ ( ok @ ( triple @ U @ V @ W ) )
     => ( W = bad ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = bad )
      | ( ok @ ( triple @ X1 @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax41]) ).

thf(l20_co,conjecture,
    ! [U: $i,V: $i,W: $i] :
      ( ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
        | ~ ( ok @ ( triple @ U @ V @ W ) ) )
     => ! [X: $i,Y: $i,Z: $i] :
          ( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
         => ( ~ ( ok @ ( triple @ X @ Y @ Z ) )
            | ~ ( check_cpq @ ( triple @ X @ Y @ Z ) ) ) ) ) ).

thf(zf_stmt_9,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i] :
        ( ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
          | ~ ( ok @ ( triple @ U @ V @ W ) ) )
       => ! [X: $i,Y: $i,Z: $i] :
            ( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
           => ( ~ ( ok @ ( triple @ X @ Y @ Z ) )
              | ~ ( check_cpq @ ( triple @ X @ Y @ Z ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[l20_co]) ).

thf(zip_derived_cl61,plain,
    ( ~ ( check_cpq @ ( triple @ sk__6 @ sk__7 @ sk__8 ) )
    | ~ ( ok @ ( triple @ sk__6 @ sk__7 @ sk__8 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( ok @ ( triple @ sk__6 @ sk__7 @ sk__8 ) )
   <= ~ ( ok @ ( triple @ sk__6 @ sk__7 @ sk__8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf(zip_derived_cl80,plain,
    ( ( sk__8 = bad )
   <= ~ ( ok @ ( triple @ sk__6 @ sk__7 @ sk__8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl67]) ).

thf(zip_derived_cl64,plain,
    succ_cpq @ ( triple @ sk__6 @ sk__7 @ sk__8 ) @ ( triple @ sk__9 @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl65,plain,
    ( ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
        ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
        | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
        ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
        | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf(zip_derived_cl103,plain,
    ( ( ~ ( zip_tseitin_3 @ sk__8 @ sk__7 @ sk__6 )
      | ~ ( check_cpq @ ( triple @ sk__9 @ sk__10 @ sk__11 ) )
      | ~ ( ok @ ( triple @ sk__9 @ sk__10 @ sk__11 ) ) )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
        ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
        | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl65]) ).

thf(zip_derived_cl62,plain,
    check_cpq @ ( triple @ sk__9 @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl63,plain,
    ok @ ( triple @ sk__9 @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl105,plain,
    ( ~ ( zip_tseitin_3 @ sk__8 @ sk__7 @ sk__6 )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
        ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
        | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl62,zip_derived_cl63]) ).

thf(zip_derived_cl106,plain,
    ( ~ ( zip_tseitin_3 @ bad @ sk__7 @ sk__6 )
   <= ( ~ ( ok @ ( triple @ sk__6 @ sk__7 @ sk__8 ) )
      & ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
          ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
          | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
          | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
          | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl105]) ).

thf(zip_derived_cl125,plain,
    ( ( ok @ ( triple @ sk__6 @ sk__7 @ bad ) )
   <= ( ~ ( ok @ ( triple @ sk__6 @ sk__7 @ sk__8 ) )
      & ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
          ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
          | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
          | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
          | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl106]) ).

thf(ax40,axiom,
    ! [U: $i,V: $i] :
      ~ ( ok @ ( triple @ U @ V @ bad ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf('0',plain,
    ( ( ok @ ( triple @ sk__6 @ sk__7 @ sk__8 ) )
    | ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
          ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
          | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
          | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
          | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl36]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
      | ( check_cpq @ ( triple @ X2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl105_001,plain,
    ( ~ ( zip_tseitin_3 @ sk__8 @ sk__7 @ sk__6 )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
        ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
        | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl62,zip_derived_cl63]) ).

thf(zip_derived_cl116,plain,
    ( ( check_cpq @ ( triple @ sk__6 @ sk__7 @ sk__8 ) )
   <= ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
        ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
        | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl105]) ).

thf(zip_derived_cl68,plain,
    ( ~ ( check_cpq @ ( triple @ sk__6 @ sk__7 @ sk__8 ) )
   <= ~ ( check_cpq @ ( triple @ sk__6 @ sk__7 @ sk__8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf('1',plain,
    ( ~ ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
          ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
          | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
          | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
          | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) )
    | ( check_cpq @ ( triple @ sk__6 @ sk__7 @ sk__8 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl68]) ).

thf('2',plain,
    ( ~ ( check_cpq @ ( triple @ sk__6 @ sk__7 @ sk__8 ) )
    | ~ ( ok @ ( triple @ sk__6 @ sk__7 @ sk__8 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl61]) ).

thf('3',plain,
    ( ~ ( zip_tseitin_2 @ sk__5 @ sk__4 @ sk__3 @ sk__2 @ sk__1 @ sk_ )
    | ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
        ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
        | ~ ( check_cpq @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( ok @ ( triple @ X3 @ X4 @ X5 ) )
        | ~ ( succ_cpq @ ( triple @ X2 @ X1 @ X0 ) @ ( triple @ X3 @ X4 @ X5 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl58]) ).

thf('4',plain,
    ~ ( zip_tseitin_2 @ sk__5 @ sk__4 @ sk__3 @ sk__2 @ sk__1 @ sk_ ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).

thf(zip_derived_cl131,plain,
    ~ ( zip_tseitin_2 @ sk__5 @ sk__4 @ sk__3 @ sk__2 @ sk__1 @ sk_ ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl66,'4']) ).

thf(zip_derived_cl133,plain,
    ~ ( zip_tseitin_1 @ sk__5 @ sk__4 @ sk__3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl131]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
      | ~ ( check_cpq @ ( triple @ X2 @ X1 @ X0 ) )
      | ~ ( ok @ ( triple @ X2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl136,plain,
    ( ~ ( check_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) )
    | ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl133,zip_derived_cl53]) ).

thf(zip_derived_cl140,plain,
    ( ~ ( check_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) )
   <= ~ ( check_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl136]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ( ok @ ( im_succ_cpq @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(l12_l13,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
        | ~ ( ok @ ( triple @ U @ V @ W ) ) )
     => ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ U @ V @ W ) ) )
        | ~ ( ok @ ( im_succ_cpq @ ( triple @ U @ V @ W ) ) ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ok @ ( im_succ_cpq @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ( ok @ ( triple @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[l12_l13]) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ( ok @ ( triple @ X2 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl59]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ( check_cpq @ ( im_succ_cpq @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ok @ ( triple @ X2 @ X1 @ X0 ) )
      | ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl159,zip_derived_cl50]) ).

thf(zip_derived_cl139,plain,
    ( ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) )
   <= ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl136]) ).

thf(zip_derived_cl37_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = bad )
      | ( ok @ ( triple @ X1 @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax41]) ).

thf(zip_derived_cl141,plain,
    ( ( sk__5 = bad )
   <= ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl139,zip_derived_cl37]) ).

thf(zip_derived_cl133_003,plain,
    ~ ( zip_tseitin_1 @ sk__5 @ sk__4 @ sk__3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl131]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl135,plain,
    ~ ( zip_tseitin_0 @ sk__5 @ sk__4 @ sk__3 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl133,zip_derived_cl52]) ).

thf(zip_derived_cl146,plain,
    ( ~ ( zip_tseitin_0 @ bad @ sk__4 @ sk__3 )
   <= ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl135]) ).

thf(zip_derived_cl169,plain,
    ( ( ok @ ( triple @ sk__3 @ sk__4 @ bad ) )
   <= ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl146]) ).

thf(zip_derived_cl36_004,plain,
    ! [X0: $i,X1: $i] :
      ~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
    inference(cnf,[status(esa)],[ax40]) ).

thf('5',plain,
    ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl36]) ).

thf('6',plain,
    ( ~ ( check_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) )
    | ~ ( ok @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl136]) ).

thf('7',plain,
    ~ ( check_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ),
    inference('sat_resolution*',[status(thm)],['5','6']) ).

thf(zip_derived_cl174,plain,
    ~ ( check_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl140,'7']) ).

thf(zip_derived_cl51_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ( ok @ ( im_succ_cpq @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ok @ ( im_succ_cpq @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ( check_cpq @ ( triple @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[l12_l13]) ).

thf(zip_derived_cl160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ( check_cpq @ ( triple @ X2 @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl60]) ).

thf(zip_derived_cl50_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ( check_cpq @ ( im_succ_cpq @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( check_cpq @ ( triple @ X2 @ X1 @ X0 ) )
      | ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl160,zip_derived_cl50]) ).

thf(zip_derived_cl135_007,plain,
    ~ ( zip_tseitin_0 @ sk__5 @ sk__4 @ sk__3 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl133,zip_derived_cl52]) ).

thf(zip_derived_cl177,plain,
    check_cpq @ ( triple @ sk__3 @ sk__4 @ sk__5 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl135]) ).

thf(zip_derived_cl178,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl177]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV384+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YsuxfUe7Yp true
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 03:22:25 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.79  % Solved by fo/fo1_av.sh.
% 0.56/0.79  % done 112 iterations in 0.040s
% 0.56/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.79  % SZS output start Refutation
% See solution above
% 0.56/0.79  
% 0.56/0.79  
% 0.56/0.79  % Terminating...
% 0.60/0.87  % Runner terminated.
% 0.60/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------