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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM022+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z8c1rPCAOP true

% Computer : n024.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 Oct  2 04:30:36 PM UTC 2025

% Result   : Theorem 0.57s 0.90s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   68 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :  223 (  20 equ;   0 cnn)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  712 ( 121   ~;  88   |;  37   &; 436   @)
%                                         (   2 <=>;   8  =>;  20  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   8 con; 0-3 aty)
%            Number of variables   :   43 (   0   ^;  32   !;  11   ?;  43   :)

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

thf(sk__16_type,type,
    sk__16: $i ).

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

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

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

thf(sk__17_type,type,
    sk__17: $i ).

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

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

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

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

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

thf(sk__15_type,type,
    sk__15: $i ).

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

thf(m__,conjecture,
    ( ( ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
        & ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
     => ? [W0: $i] :
          ( ? [W1: $i] :
              ( ? [W2: $i] :
                  ( ? [W3: $i] :
                      ( ( sdtmndtasgtdt0 @ xc @ xR @ W3 )
                      & ( sdtmndtasgtdt0 @ xb @ xR @ W3 )
                      & ( aNormalFormOfIn0 @ W3 @ W2 @ xR ) )
                  & ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
                  & ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
                  & ( aElement0 @ W2 ) )
              & ( sdtmndtasgtdt0 @ W1 @ xR @ xc )
              & ( aReductOfIn0 @ W1 @ xa @ xR )
              & ( aElement0 @ W1 ) )
          & ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
          & ( aReductOfIn0 @ W0 @ xa @ xR )
          & ( aElement0 @ W0 ) ) )
   => ( ( ( sdtmndtasgtdt0 @ xa @ xR @ xb )
        & ( sdtmndtasgtdt0 @ xa @ xR @ xc ) )
     => ? [W0: $i] :
          ( ( sdtmndtasgtdt0 @ xc @ xR @ W0 )
          & ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
          & ( aElement0 @ W0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( sdtmndtplgtdt0 @ xa @ xR @ xb )
          & ( sdtmndtplgtdt0 @ xa @ xR @ xc ) )
       => ? [W0: $i] :
            ( ? [W1: $i] :
                ( ? [W2: $i] :
                    ( ? [W3: $i] :
                        ( ( sdtmndtasgtdt0 @ xc @ xR @ W3 )
                        & ( sdtmndtasgtdt0 @ xb @ xR @ W3 )
                        & ( aNormalFormOfIn0 @ W3 @ W2 @ xR ) )
                    & ( sdtmndtasgtdt0 @ W1 @ xR @ W2 )
                    & ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
                    & ( aElement0 @ W2 ) )
                & ( sdtmndtasgtdt0 @ W1 @ xR @ xc )
                & ( aReductOfIn0 @ W1 @ xa @ xR )
                & ( aElement0 @ W1 ) )
            & ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
            & ( aReductOfIn0 @ W0 @ xa @ xR )
            & ( aElement0 @ W0 ) ) )
     => ( ( ( sdtmndtasgtdt0 @ xa @ xR @ xb )
          & ( sdtmndtasgtdt0 @ xa @ xR @ xc ) )
       => ? [W0: $i] :
            ( ( sdtmndtasgtdt0 @ xc @ xR @ W0 )
            & ( sdtmndtasgtdt0 @ xb @ xR @ W0 )
            & ( aElement0 @ W0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl55,plain,
    ( ( aNormalFormOfIn0 @ sk__17 @ sk__16 @ xR )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( aNormalFormOfIn0 @ sk__17 @ sk__16 @ xR )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(zip_derived_cl56,plain,
    ( ( sdtmndtasgtdt0 @ xb @ xR @ sk__17 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ( sdtmndtasgtdt0 @ xb @ xR @ sk__17 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(split,[status(esa)],[zip_derived_cl56]) ).

thf(zip_derived_cl57,plain,
    ( ( sdtmndtasgtdt0 @ xc @ xR @ sk__17 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('2',plain,
    ( ( sdtmndtasgtdt0 @ xc @ xR @ sk__17 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl82,plain,
    ( ( sdtmndtasgtdt0 @ xc @ xR @ sk__17 )
   <= ( sdtmndtasgtdt0 @ xc @ xR @ sk__17 ) ),
    inference(split,[status(esa)],[zip_derived_cl57]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ X0 )
      | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109,plain,
    ( ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sk__17 )
      | ~ ( aElement0 @ sk__17 ) )
   <= ( sdtmndtasgtdt0 @ xc @ xR @ sk__17 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl64]) ).

thf('3',plain,
    ( ~ ( sdtmndtasgtdt0 @ xb @ xR @ sk__17 )
    | ~ ( sdtmndtasgtdt0 @ xc @ xR @ sk__17 )
    | ~ ( aElement0 @ sk__17 ) ),
    inference(split,[status(esa)],[zip_derived_cl109]) ).

thf(zip_derived_cl65,plain,
    sdtmndtasgtdt0 @ xa @ xR @ xc,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    ( ( aElement0 @ sk__15 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(mTCRDef,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
      <=> ( ( W0 = W2 )
          | ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
      | ( X1 = X2 )
      | ~ ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(zip_derived_cl276,plain,
    ( ( ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ xa )
      | ~ ( aElement0 @ xb )
      | ( xa = xb )
      | ~ ( sdtmndtasgtdt0 @ xa @ xR @ xb ) )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl13]) ).

thf(m__656,axiom,
    aRewritingSystem0 @ xR ).

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

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

thf(zip_derived_cl48,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl47,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl66,plain,
    sdtmndtasgtdt0 @ xa @ xR @ xb,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,plain,
    ( ( xa = xb )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl43,zip_derived_cl48,zip_derived_cl47,zip_derived_cl66]) ).

thf(zip_derived_cl64_001,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ X0 )
      | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 )
      | ( X1 != X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 )
      | ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ xc )
      | ~ ( aElement0 @ X0 )
      | ( xc != X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl12]) ).

thf(zip_derived_cl43_002,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl46,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 )
      | ~ ( aElement0 @ X0 )
      | ( xc != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl43,zip_derived_cl46]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $i] :
      ( ( xc != X0 )
      | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl193]) ).

thf(zip_derived_cl314,plain,
    ( ! [X0: $i] :
        ( ( xc != X0 )
        | ~ ( sdtmndtasgtdt0 @ xa @ xR @ X0 )
        | ~ ( aElement0 @ X0 ) )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl194]) ).

thf(zip_derived_cl433,plain,
    ( ( ( xc != xc )
      | ~ ( aElement0 @ xc ) )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl314]) ).

thf(zip_derived_cl46_003,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl441,plain,
    ( ( xc != xc )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl46]) ).

thf('4',plain,
    sdtmndtplgtdt0 @ xa @ xR @ xb,
    inference(simplify,[status(thm)],[zip_derived_cl441]) ).

thf(zip_derived_cl66_004,plain,
    sdtmndtasgtdt0 @ xa @ xR @ xb,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 )
      | ( X1 != X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(zip_derived_cl68,plain,
    ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl13_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
      | ( X1 = X2 )
      | ~ ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(zip_derived_cl277,plain,
    ( ( ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ xa )
      | ~ ( aElement0 @ xc )
      | ( xa = xc )
      | ~ ( sdtmndtasgtdt0 @ xa @ xR @ xc ) )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl13]) ).

thf(zip_derived_cl43_007,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl48_008,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl46_009,plain,
    aElement0 @ xc,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl65_010,plain,
    sdtmndtasgtdt0 @ xa @ xR @ xc,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283,plain,
    ( ( xa = xc )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl43,zip_derived_cl48,zip_derived_cl46,zip_derived_cl65]) ).

thf(zip_derived_cl64_011,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xc @ xR @ X0 )
      | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl390,plain,
    ( ! [X0: $i] :
        ( ~ ( sdtmndtasgtdt0 @ xa @ xR @ X0 )
        | ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 )
        | ~ ( aElement0 @ X0 ) )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl64]) ).

thf(zip_derived_cl496,plain,
    ( ! [X0: $i] :
        ( ( xb != X0 )
        | ~ ( aElement0 @ X0 )
        | ~ ( aElement0 @ xb )
        | ~ ( aRewritingSystem0 @ xR )
        | ~ ( sdtmndtasgtdt0 @ xa @ xR @ X0 )
        | ~ ( aElement0 @ X0 ) )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl390]) ).

thf(zip_derived_cl47_012,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl43_013,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl498,plain,
    ( ! [X0: $i] :
        ( ( xb != X0 )
        | ~ ( aElement0 @ X0 )
        | ~ ( sdtmndtasgtdt0 @ xa @ xR @ X0 )
        | ~ ( aElement0 @ X0 ) )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference(demod,[status(thm)],[zip_derived_cl496,zip_derived_cl47,zip_derived_cl43]) ).

thf(zip_derived_cl499,plain,
    ( ! [X0: $i] :
        ( ~ ( sdtmndtasgtdt0 @ xa @ xR @ X0 )
        | ~ ( aElement0 @ X0 )
        | ( xb != X0 ) )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference(simplify,[status(thm)],[zip_derived_cl498]) ).

thf(zip_derived_cl511,plain,
    ( ( ~ ( aElement0 @ xb )
      | ( xb != xb ) )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl499]) ).

thf(zip_derived_cl47_014,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl519,plain,
    ( ( xb != xb )
   <= ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc ) ),
    inference(demod,[status(thm)],[zip_derived_cl511,zip_derived_cl47]) ).

thf('5',plain,
    sdtmndtplgtdt0 @ xa @ xR @ xc,
    inference(simplify,[status(thm)],[zip_derived_cl519]) ).

thf(zip_derived_cl60,plain,
    ( ( aElement0 @ sk__16 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('6',plain,
    ( ( aElement0 @ sk__16 )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ),
    inference(split,[status(esa)],[zip_derived_cl60]) ).

thf(zip_derived_cl76,plain,
    ( ( aNormalFormOfIn0 @ sk__17 @ sk__16 @ xR )
   <= ( aNormalFormOfIn0 @ sk__17 @ sk__16 @ xR ) ),
    inference(split,[status(esa)],[zip_derived_cl55]) ).

thf(mNFRDef,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 ) )
     => ! [W2: $i] :
          ( ( aNormalFormOfIn0 @ W2 @ W0 @ W1 )
        <=> ( ( aElement0 @ W2 )
            & ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
            & ~ ? [W3: $i] : ( aReductOfIn0 @ W3 @ W2 @ W1 ) ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aNormalFormOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mNFRDef]) ).

thf(zip_derived_cl156,plain,
    ( ( ~ ( aElement0 @ sk__16 )
      | ~ ( aRewritingSystem0 @ xR )
      | ( aElement0 @ sk__17 ) )
   <= ( aNormalFormOfIn0 @ sk__17 @ sk__16 @ xR ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl38]) ).

thf(zip_derived_cl43_015,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl157,plain,
    ( ( ~ ( aElement0 @ sk__16 )
      | ( aElement0 @ sk__17 ) )
   <= ( aNormalFormOfIn0 @ sk__17 @ sk__16 @ xR ) ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl43]) ).

thf('7',plain,
    ( ~ ( aElement0 @ sk__16 )
    | ( aElement0 @ sk__17 )
    | ~ ( aNormalFormOfIn0 @ sk__17 @ sk__16 @ xR ) ),
    inference(split,[status(esa)],[zip_derived_cl157]) ).

thf(zip_derived_cl528,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM022+1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z8c1rPCAOP true
% 0.13/0.34  % Computer : n024.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 : Wed Oct  1 13:50:23 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.34  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.90  % Solved by fo/fo1_av.sh.
% 0.57/0.90  % done 163 iterations in 0.123s
% 0.57/0.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.90  % SZS output start Refutation
% See solution above
% 0.57/0.90  
% 0.57/0.90  
% 0.57/0.90  % Terminating...
% 1.83/0.96  % Runner terminated.
% 1.83/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------