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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM016+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.jctU9oCmcu true

% Computer : n015.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 04:30:34 PM UTC 2025

% Result   : Theorem 1.22s 0.76s
% Output   : Refutation 1.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   48 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :  118 (   2 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  375 (  53   ~;  53   |;  13   &; 252   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   30 (   0   ^;  27   !;   3   ?;  30   :)

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

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

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

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

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

thf(m__731_02,axiom,
    ( ( sdtmndtplgtdt0 @ xa @ xR @ xc )
    & ( sdtmndtplgtdt0 @ xa @ xR @ xb ) ) ).

thf(zip_derived_cl53,plain,
    sdtmndtplgtdt0 @ xa @ xR @ xb,
    inference(cnf,[status(esa)],[m__731_02]) ).

thf(mTCDef,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 ) )
     => ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
      <=> ( ( aReductOfIn0 @ W2 @ W0 @ W1 )
          | ? [W3: $i] :
              ( ( sdtmndtplgtdt0 @ W3 @ W1 @ W2 )
              & ( aReductOfIn0 @ W3 @ W0 @ W1 )
              & ( aElement0 @ W3 ) ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtplgtdt0 @ ( sk_ @ X2 @ X0 @ X1 ) @ X0 @ X2 )
      | ( aReductOfIn0 @ X2 @ X1 @ X0 )
      | ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCDef]) ).

thf(zip_derived_cl207,plain,
    ( ( aReductOfIn0 @ xb @ xa @ xR )
    | ( sdtmndtplgtdt0 @ ( sk_ @ xb @ xR @ xa ) @ xR @ xb )
    | ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ xa )
    | ~ ( aRewritingSystem0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl9]) ).

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_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_cl55,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aRewritingSystem0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl55]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
      & ( aReductOfIn0 @ W0 @ xa @ xR )
      & ( aElement0 @ W0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( sdtmndtasgtdt0 @ W0 @ xR @ xb )
        & ( aReductOfIn0 @ W0 @ xa @ xR )
        & ( aElement0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ X0 @ xR @ xb )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ~ ( aElement0 @ xb )
    | ~ ( aRewritingSystem0 @ xR )
    | ~ ( aElement0 @ xb )
    | ~ ( aReductOfIn0 @ xb @ xa @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl54]) ).

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

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

thf(m__656,axiom,
    aRewritingSystem0 @ xR ).

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

thf(zip_derived_cl47_001,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl58,plain,
    ~ ( aReductOfIn0 @ xb @ xa @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl47,zip_derived_cl43,zip_derived_cl47]) ).

thf(zip_derived_cl47_002,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

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

thf(zip_derived_cl43_003,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl212,plain,
    sdtmndtplgtdt0 @ ( sk_ @ xb @ xR @ xa ) @ xR @ xb,
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl58,zip_derived_cl47,zip_derived_cl48,zip_derived_cl43]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 )
      | ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCRDef]) ).

thf(zip_derived_cl231,plain,
    ( ( sdtmndtasgtdt0 @ ( sk_ @ xb @ xR @ xa ) @ xR @ xb )
    | ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ ( sk_ @ xb @ xR @ xa ) )
    | ~ ( aRewritingSystem0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl11]) ).

thf(zip_derived_cl47_004,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl53_005,plain,
    sdtmndtplgtdt0 @ xa @ xR @ xb,
    inference(cnf,[status(esa)],[m__731_02]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( aElement0 @ ( sk_ @ X2 @ X0 @ X1 ) )
      | ( aReductOfIn0 @ X2 @ X1 @ X0 )
      | ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCDef]) ).

thf(zip_derived_cl96,plain,
    ( ( aReductOfIn0 @ xb @ xa @ xR )
    | ( aElement0 @ ( sk_ @ xb @ xR @ xa ) )
    | ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ xa )
    | ~ ( aRewritingSystem0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl7]) ).

thf(zip_derived_cl58_006,plain,
    ~ ( aReductOfIn0 @ xb @ xa @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl47,zip_derived_cl43,zip_derived_cl47]) ).

thf(zip_derived_cl47_007,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

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

thf(zip_derived_cl43_009,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl99,plain,
    aElement0 @ ( sk_ @ xb @ xR @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl58,zip_derived_cl47,zip_derived_cl48,zip_derived_cl43]) ).

thf(zip_derived_cl43_010,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl236,plain,
    sdtmndtasgtdt0 @ ( sk_ @ xb @ xR @ xa ) @ xR @ xb,
    inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl47,zip_derived_cl99,zip_derived_cl43]) ).

thf(zip_derived_cl54_011,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ X0 @ xR @ xb )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl240,plain,
    ( ~ ( aElement0 @ ( sk_ @ xb @ xR @ xa ) )
    | ~ ( aReductOfIn0 @ ( sk_ @ xb @ xR @ xa ) @ xa @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl54]) ).

thf(zip_derived_cl99_012,plain,
    aElement0 @ ( sk_ @ xb @ xR @ xa ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl58,zip_derived_cl47,zip_derived_cl48,zip_derived_cl43]) ).

thf(zip_derived_cl53_013,plain,
    sdtmndtplgtdt0 @ xa @ xR @ xb,
    inference(cnf,[status(esa)],[m__731_02]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ( aReductOfIn0 @ ( sk_ @ X2 @ X0 @ X1 ) @ X1 @ X0 )
      | ( aReductOfIn0 @ X2 @ X1 @ X0 )
      | ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[mTCDef]) ).

thf(zip_derived_cl149,plain,
    ( ( aReductOfIn0 @ xb @ xa @ xR )
    | ( aReductOfIn0 @ ( sk_ @ xb @ xR @ xa ) @ xa @ xR )
    | ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ xa )
    | ~ ( aRewritingSystem0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl8]) ).

thf(zip_derived_cl58_014,plain,
    ~ ( aReductOfIn0 @ xb @ xa @ xR ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl47,zip_derived_cl43,zip_derived_cl47]) ).

thf(zip_derived_cl47_015,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl48_016,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl43_017,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl152,plain,
    aReductOfIn0 @ ( sk_ @ xb @ xR @ xa ) @ xa @ xR,
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl58,zip_derived_cl47,zip_derived_cl48,zip_derived_cl43]) ).

thf(zip_derived_cl243,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl99,zip_derived_cl152]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : COM016+1 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jctU9oCmcu true
% 0.10/0.30  % Computer : n015.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Wed Oct  1 13:49:53 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.10/0.31  % Running in FO mode
% 0.65/0.59  % Total configuration time : 435
% 0.65/0.59  % Estimated wc time : 1092
% 0.65/0.59  % Estimated cpu time (7 cpus) : 156.0
% 1.00/0.66  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.00/0.66  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.00/0.67  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.00/0.67  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.00/0.67  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.00/0.67  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.00/0.68  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.22/0.76  % Solved by fo/fo5.sh.
% 1.22/0.76  % done 91 iterations in 0.066s
% 1.22/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.22/0.76  % SZS output start Refutation
% See solution above
% 1.22/0.76  
% 1.22/0.76  
% 1.22/0.76  % Terminating...
% 1.49/0.79  % Runner terminated.
% 1.49/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------