TSTP Solution File: COM020+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM020+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ah7Jh43ki6 true

% Computer : n009.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 : Wed Aug 30 18:49:09 EDT 2023

% Result   : Theorem 23.19s 3.88s
% Output   : Refutation 23.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   49
% Syntax   : Number of formulae    :   95 (  24 unt;  32 typ;   0 def)
%            Number of atoms       :  281 (  21 equ;   0 cnn)
%            Maximal formula atoms :   33 (   4 avg)
%            Number of connectives :  873 (  53   ~; 105   |;  97   &; 602   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   54 (  54   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;   9 con; 0-3 aty)
%            Number of variables   :   90 (   0   ^;  65   !;  25   ?;  90   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(sk__18_type,type,
    sk__18: $i > $i > $i ).

thf(zip_tseitin_6_type,type,
    zip_tseitin_6: $i > $i > $i > $o ).

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

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

thf(xw_type,type,
    xw: $i ).

thf(aNormalFormOfIn0_type,type,
    aNormalFormOfIn0: $i > $i > $i > $o ).

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: $i > $i > $o ).

thf(isTerminating0_type,type,
    isTerminating0: $i > $o ).

thf(aRewritingSystem0_type,type,
    aRewritingSystem0: $i > $o ).

thf(xv_type,type,
    xv: $i ).

thf(sdtmndtasgtdt0_type,type,
    sdtmndtasgtdt0: $i > $i > $i > $o ).

thf(xa_type,type,
    xa: $i ).

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

thf(iLess0_type,type,
    iLess0: $i > $i > $o ).

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

thf(isLocallyConfluent0_type,type,
    isLocallyConfluent0: $i > $o ).

thf(xb_type,type,
    xb: $i ).

thf(aReductOfIn0_type,type,
    aReductOfIn0: $i > $i > $i > $o ).

thf(xd_type,type,
    xd: $i ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $i > $i > $o ).

thf(xR_type,type,
    xR: $i ).

thf(xc_type,type,
    xc: $i ).

thf(sdtmndtplgtdt0_type,type,
    sdtmndtplgtdt0: $i > $i > $i > $o ).

thf(xu_type,type,
    xu: $i ).

thf(m__818,axiom,
    ( ( aNormalFormOfIn0 @ xd @ xw @ xR )
    & ~ ? [W0: $i] : ( aReductOfIn0 @ W0 @ xd @ xR )
    & ( sdtmndtasgtdt0 @ xw @ xR @ xd )
    & ( ( ( sdtmndtplgtdt0 @ xw @ xR @ xd )
        & ( ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xd )
              & ( aReductOfIn0 @ W0 @ xw @ xR )
              & ( aElement0 @ W0 ) )
          | ( aReductOfIn0 @ xd @ xw @ xR ) ) )
      | ( xw = xd ) )
    & ( aElement0 @ xd ) ) ).

thf(zip_derived_cl127,plain,
    sdtmndtasgtdt0 @ xw @ xR @ xd,
    inference(cnf,[status(esa)],[m__818]) ).

thf(m__799,axiom,
    ( ( sdtmndtasgtdt0 @ xv @ xR @ xw )
    & ( ( ( sdtmndtplgtdt0 @ xv @ xR @ xw )
        & ( ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xw )
              & ( aReductOfIn0 @ W0 @ xv @ xR )
              & ( aElement0 @ W0 ) )
          | ( aReductOfIn0 @ xw @ xv @ xR ) ) )
      | ( xv = xw ) )
    & ( sdtmndtasgtdt0 @ xu @ xR @ xw )
    & ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xw )
        & ( ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xw )
              & ( aReductOfIn0 @ W0 @ xu @ xR )
              & ( aElement0 @ W0 ) )
          | ( aReductOfIn0 @ xw @ xu @ xR ) ) )
      | ( xu = xw ) )
    & ( aElement0 @ xw ) ) ).

thf(zip_derived_cl116,plain,
    sdtmndtasgtdt0 @ xu @ xR @ xw,
    inference(cnf,[status(esa)],[m__799]) ).

thf(mTCRTrans,axiom,
    ! [W0: $i,W1: $i,W2: $i,W3: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 )
        & ( aElement0 @ W3 ) )
     => ( ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
          & ( sdtmndtasgtdt0 @ W2 @ W1 @ W3 ) )
       => ( sdtmndtasgtdt0 @ W0 @ W1 @ W3 ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( sdtmndtasgtdt0 @ X0 @ X1 @ X2 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X3 )
      | ( sdtmndtasgtdt0 @ X0 @ X1 @ X3 )
      | ~ ( sdtmndtasgtdt0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[mTCRTrans]) ).

thf(zip_derived_cl521,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xw @ xR @ X0 )
      | ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ xu )
      | ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ xw ) ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl14]) ).

thf(m__755,axiom,
    ( ( sdtmndtasgtdt0 @ xu @ xR @ xb )
    & ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xb )
        & ( ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xb )
              & ( aReductOfIn0 @ W0 @ xu @ xR )
              & ( aElement0 @ W0 ) )
          | ( aReductOfIn0 @ xb @ xu @ xR ) ) )
      | ( xu = xb ) )
    & ( aReductOfIn0 @ xu @ xa @ xR )
    & ( aElement0 @ xu ) ) ).

thf(zip_derived_cl97,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__755]) ).

thf(m__656,axiom,
    aRewritingSystem0 @ xR ).

thf(zip_derived_cl43,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl111,plain,
    aElement0 @ xw,
    inference(cnf,[status(esa)],[m__799]) ).

thf(zip_derived_cl536,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xw @ xR @ X0 )
      | ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl521,zip_derived_cl97,zip_derived_cl43,zip_derived_cl111]) ).

thf(zip_derived_cl707,plain,
    ( ~ ( aElement0 @ xd )
    | ( sdtmndtasgtdt0 @ xu @ xR @ xd ) ),
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl536]) ).

thf(zip_derived_cl122,plain,
    aElement0 @ xd,
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl709,plain,
    sdtmndtasgtdt0 @ xu @ xR @ xd,
    inference(demod,[status(thm)],[zip_derived_cl707,zip_derived_cl122]) ).

thf(m__715,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
          | ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
          | ? [W3: $i] :
              ( ( aElement0 @ W3 )
              & ( aReductOfIn0 @ W3 @ W0 @ xR )
              & ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
          | ( aReductOfIn0 @ W2 @ W0 @ xR )
          | ( W0 = W2 ) )
        & ( ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
          | ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
          | ? [W3: $i] :
              ( ( aElement0 @ W3 )
              & ( aReductOfIn0 @ W3 @ W0 @ xR )
              & ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
          | ( aReductOfIn0 @ W1 @ W0 @ xR )
          | ( W0 = W1 ) )
        & ( aElement0 @ W2 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W0 ) )
     => ( ( iLess0 @ W0 @ xa )
       => ? [W3: $i] :
            ( ( aElement0 @ W3 )
            & ( ( W1 = W3 )
              | ( ( ( aReductOfIn0 @ W3 @ W1 @ xR )
                  | ? [W4: $i] :
                      ( ( aElement0 @ W4 )
                      & ( aReductOfIn0 @ W4 @ W1 @ xR )
                      & ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
                & ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) ) )
            & ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
            & ( ( W2 = W3 )
              | ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
                  | ? [W4: $i] :
                      ( ( aElement0 @ W4 )
                      & ( aReductOfIn0 @ W4 @ W2 @ xR )
                      & ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
                & ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
            & ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [W1: $i,W0: $i] :
      ( ( ( W0 = W1 )
        | ( aReductOfIn0 @ W1 @ W0 @ xR )
        | ? [W3: $i] :
            ( ( sdtmndtplgtdt0 @ W3 @ xR @ W1 )
            & ( aReductOfIn0 @ W3 @ W0 @ xR )
            & ( aElement0 @ W3 ) )
        | ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
        | ( sdtmndtasgtdt0 @ W0 @ xR @ W1 ) )
     => ( zip_tseitin_1 @ W1 @ W0 ) ) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 )
      | ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl713,plain,
    zip_tseitin_1 @ xd @ xu,
    inference('sup-',[status(thm)],[zip_derived_cl709,zip_derived_cl72]) ).

thf(zip_derived_cl99,plain,
    ( ( sdtmndtplgtdt0 @ xu @ xR @ xb )
    | ( xu = xb ) ),
    inference(cnf,[status(esa)],[m__755]) ).

thf(zf_stmt_1,axiom,
    ! [W2: $i,W0: $i] :
      ( ( ( W0 = W2 )
        | ( aReductOfIn0 @ W2 @ W0 @ xR )
        | ? [W3: $i] :
            ( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
            & ( aReductOfIn0 @ W3 @ W0 @ xR )
            & ( aElement0 @ W3 ) )
        | ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
        | ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) )
     => ( zip_tseitin_0 @ W2 @ W0 ) ) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( sdtmndtplgtdt0 @ X1 @ xR @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl255,plain,
    ( ( xu = xb )
    | ( zip_tseitin_0 @ xb @ xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl66]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ( X1 != X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl260,plain,
    zip_tseitin_0 @ xb @ xu,
    inference(clc,[status(thm)],[zip_derived_cl255,zip_derived_cl63]) ).

thf(zip_derived_cl98,plain,
    aReductOfIn0 @ xu @ xa @ xR,
    inference(cnf,[status(esa)],[m__755]) ).

thf(m__656_01,axiom,
    ( ( isTerminating0 @ xR )
    & ! [W0: $i,W1: $i] :
        ( ( ( aElement0 @ W0 )
          & ( aElement0 @ W1 ) )
       => ( ( ( aReductOfIn0 @ W1 @ W0 @ xR )
            | ? [W2: $i] :
                ( ( sdtmndtplgtdt0 @ W2 @ xR @ W1 )
                & ( aReductOfIn0 @ W2 @ W0 @ xR )
                & ( aElement0 @ W2 ) )
            | ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) )
         => ( iLess0 @ W1 @ W0 ) ) )
    & ( isLocallyConfluent0 @ xR )
    & ! [W0: $i,W1: $i,W2: $i] :
        ( ( ( aElement0 @ W0 )
          & ( aElement0 @ W1 )
          & ( aElement0 @ W2 )
          & ( aReductOfIn0 @ W1 @ W0 @ xR )
          & ( aReductOfIn0 @ W2 @ W0 @ xR ) )
       => ? [W3: $i] :
            ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
            & ( ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
                & ( ? [W4: $i] :
                      ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                      & ( aReductOfIn0 @ W4 @ W2 @ xR )
                      & ( aElement0 @ W4 ) )
                  | ( aReductOfIn0 @ W3 @ W2 @ xR ) ) )
              | ( W2 = W3 ) )
            & ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
            & ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 )
                & ( ? [W4: $i] :
                      ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
                      & ( aReductOfIn0 @ W4 @ W1 @ xR )
                      & ( aElement0 @ W4 ) )
                  | ( aReductOfIn0 @ W3 @ W1 @ xR ) ) )
              | ( W1 = W3 ) )
            & ( aElement0 @ W3 ) ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ( iLess0 @ X1 @ X0 )
      | ~ ( aReductOfIn0 @ X1 @ X0 @ xR ) ),
    inference(cnf,[status(esa)],[m__656_01]) ).

thf(zip_derived_cl574,plain,
    ( ( iLess0 @ xu @ xa )
    | ~ ( aElement0 @ xu )
    | ~ ( aElement0 @ xa ) ),
    inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl56]) ).

thf(zip_derived_cl97_001,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__755]) ).

thf(m__731,axiom,
    ( ( aElement0 @ xc )
    & ( aElement0 @ xb )
    & ( aElement0 @ xa ) ) ).

thf(zip_derived_cl62,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl587,plain,
    iLess0 @ xu @ xa,
    inference(demod,[status(thm)],[zip_derived_cl574,zip_derived_cl97,zip_derived_cl62]) ).

thf(zf_stmt_2,type,
    zip_tseitin_6: $i > $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [W3: $i,W2: $i,W1: $i] :
      ( ( zip_tseitin_6 @ W3 @ W2 @ W1 )
     => ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
        & ( ( zip_tseitin_5 @ W3 @ W2 )
          | ( W2 = W3 ) )
        & ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
        & ( ( zip_tseitin_3 @ W3 @ W1 )
          | ( W1 = W3 ) )
        & ( aElement0 @ W3 ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_5: $i > $i > $o ).

thf(zf_stmt_5,axiom,
    ! [W3: $i,W2: $i] :
      ( ( zip_tseitin_5 @ W3 @ W2 )
     => ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
        & ( ? [W4: $i] : ( zip_tseitin_4 @ W4 @ W3 @ W2 )
          | ( aReductOfIn0 @ W3 @ W2 @ xR ) ) ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_4: $i > $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [W4: $i,W3: $i,W2: $i] :
      ( ( zip_tseitin_4 @ W4 @ W3 @ W2 )
     => ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
        & ( aReductOfIn0 @ W4 @ W2 @ xR )
        & ( aElement0 @ W4 ) ) ) ).

thf(zf_stmt_8,type,
    zip_tseitin_3: $i > $i > $o ).

thf(zf_stmt_9,axiom,
    ! [W3: $i,W1: $i] :
      ( ( zip_tseitin_3 @ W3 @ W1 )
     => ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 )
        & ( ? [W4: $i] : ( zip_tseitin_2 @ W4 @ W3 @ W1 )
          | ( aReductOfIn0 @ W3 @ W1 @ xR ) ) ) ) ).

thf(zf_stmt_10,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zf_stmt_11,axiom,
    ! [W4: $i,W3: $i,W1: $i] :
      ( ( zip_tseitin_2 @ W4 @ W3 @ W1 )
     => ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
        & ( aReductOfIn0 @ W4 @ W1 @ xR )
        & ( aElement0 @ W4 ) ) ) ).

thf(zf_stmt_12,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_13,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_14,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aElement0 @ W1 )
        & ( aElement0 @ W2 )
        & ( zip_tseitin_1 @ W1 @ W0 )
        & ( zip_tseitin_0 @ W2 @ W0 ) )
     => ( ( iLess0 @ W0 @ xa )
       => ? [W3: $i] : ( zip_tseitin_6 @ W3 @ W2 @ W1 ) ) ) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iLess0 @ X0 @ xa )
      | ~ ( zip_tseitin_1 @ X1 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X2 )
      | ~ ( zip_tseitin_0 @ X2 @ X0 )
      | ( zip_tseitin_6 @ ( sk__18 @ X2 @ X1 ) @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_14]) ).

thf(zip_derived_cl1380,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_6 @ ( sk__18 @ X1 @ X0 ) @ X1 @ X0 )
      | ~ ( zip_tseitin_0 @ X1 @ xu )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ xu )
      | ~ ( aElement0 @ X0 )
      | ~ ( zip_tseitin_1 @ X0 @ xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl88]) ).

thf(zip_derived_cl97_002,plain,
    aElement0 @ xu,
    inference(cnf,[status(esa)],[m__755]) ).

thf(zip_derived_cl1387,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_6 @ ( sk__18 @ X1 @ X0 ) @ X1 @ X0 )
      | ~ ( zip_tseitin_0 @ X1 @ xu )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( zip_tseitin_1 @ X0 @ xu ) ),
    inference(demod,[status(thm)],[zip_derived_cl1380,zip_derived_cl97]) ).

thf(zip_derived_cl24105,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_1 @ X0 @ xu )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ xb )
      | ( zip_tseitin_6 @ ( sk__18 @ xb @ X0 ) @ xb @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl1387]) ).

thf(zip_derived_cl61,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl24157,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_1 @ X0 @ xu )
      | ~ ( aElement0 @ X0 )
      | ( zip_tseitin_6 @ ( sk__18 @ xb @ X0 ) @ xb @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl24105,zip_derived_cl61]) ).

thf(zip_derived_cl24325,plain,
    ( ( zip_tseitin_6 @ ( sk__18 @ xb @ xd ) @ xb @ xd )
    | ~ ( aElement0 @ xd ) ),
    inference('sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl24157]) ).

thf(zip_derived_cl122_003,plain,
    aElement0 @ xd,
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl24377,plain,
    zip_tseitin_6 @ ( sk__18 @ xb @ xd ) @ xb @ xd,
    inference(demod,[status(thm)],[zip_derived_cl24325,zip_derived_cl122]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
      | ~ ( zip_tseitin_6 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl24389,plain,
    sdtmndtasgtdt0 @ xd @ xR @ ( sk__18 @ xb @ xd ),
    inference('sup-',[status(thm)],[zip_derived_cl24377,zip_derived_cl85]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( ( sdtmndtasgtdt0 @ xd @ xR @ W0 )
        | ( sdtmndtplgtdt0 @ xd @ xR @ W0 )
        | ? [W1: $i] :
            ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
            & ( aReductOfIn0 @ W1 @ xd @ xR )
            & ( aElement0 @ W1 ) )
        | ( aReductOfIn0 @ W0 @ xd @ xR )
        | ( xd = W0 ) )
      & ( ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
        | ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
        | ? [W1: $i] :
            ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
            & ( aReductOfIn0 @ W1 @ xb @ xR )
            & ( aElement0 @ W1 ) )
        | ( aReductOfIn0 @ W0 @ xb @ xR )
        | ( xb = W0 ) )
      & ( aElement0 @ W0 ) ) ).

thf(zf_stmt_15,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( ( sdtmndtasgtdt0 @ xd @ xR @ W0 )
          | ( sdtmndtplgtdt0 @ xd @ xR @ W0 )
          | ? [W1: $i] :
              ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
              & ( aReductOfIn0 @ W1 @ xd @ xR )
              & ( aElement0 @ W1 ) )
          | ( aReductOfIn0 @ W0 @ xd @ xR )
          | ( xd = W0 ) )
        & ( ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
          | ( sdtmndtplgtdt0 @ xb @ xR @ W0 )
          | ? [W1: $i] :
              ( ( sdtmndtplgtdt0 @ W1 @ xR @ W0 )
              & ( aReductOfIn0 @ W1 @ xb @ xR )
              & ( aElement0 @ W1 ) )
          | ( aReductOfIn0 @ W0 @ xb @ xR )
          | ( xb = W0 ) )
        & ( aElement0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xd @ xR @ X0 )
      | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zip_derived_cl24449,plain,
    ( ~ ( aElement0 @ ( sk__18 @ xb @ xd ) )
    | ~ ( sdtmndtasgtdt0 @ xb @ xR @ ( sk__18 @ xb @ xd ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24389,zip_derived_cl134]) ).

thf(zip_derived_cl24377_004,plain,
    zip_tseitin_6 @ ( sk__18 @ xb @ xd ) @ xb @ xd,
    inference(demod,[status(thm)],[zip_derived_cl24325,zip_derived_cl122]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( aElement0 @ X0 )
      | ~ ( zip_tseitin_6 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl24388,plain,
    aElement0 @ ( sk__18 @ xb @ xd ),
    inference('sup-',[status(thm)],[zip_derived_cl24377,zip_derived_cl87]) ).

thf(zip_derived_cl24377_005,plain,
    zip_tseitin_6 @ ( sk__18 @ xb @ xd ) @ xb @ xd,
    inference(demod,[status(thm)],[zip_derived_cl24325,zip_derived_cl122]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
      | ~ ( zip_tseitin_6 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl24386,plain,
    sdtmndtasgtdt0 @ xb @ xR @ ( sk__18 @ xb @ xd ),
    inference('sup-',[status(thm)],[zip_derived_cl24377,zip_derived_cl83]) ).

thf(zip_derived_cl24469,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl24449,zip_derived_cl24388,zip_derived_cl24386]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM020+4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ah7Jh43ki6 true
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 12:53:20 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.54/0.66  % Total configuration time : 435
% 0.54/0.66  % Estimated wc time : 1092
% 0.54/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 23.19/3.88  % Solved by fo/fo5.sh.
% 23.19/3.88  % done 3404 iterations in 3.097s
% 23.19/3.88  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.19/3.88  % SZS output start Refutation
% See solution above
% 23.19/3.89  
% 23.19/3.89  
% 23.19/3.89  % Terminating...
% 23.55/3.96  % Runner terminated.
% 23.55/3.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------