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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM021+4 : 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.YiEnO4fe2P true

% Computer : n010.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 0.62s 0.85s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   78 (  12 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  224 (  17   ~;  28   |;  25   &; 152   @)
%                                         (   1 <=>;   1  =>;   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     :   14 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :   17 (   0   ^;  10   !;   7   ?;  17   :)

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

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

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

thf(xx_type,type,
    xx: $i ).

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

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

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

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

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

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

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

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

thf(m__850,axiom,
    ( ( sdtmndtasgtdt0 @ xd @ xR @ xx )
    & ( ( ( sdtmndtplgtdt0 @ xd @ xR @ xx )
        & ( ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xx )
              & ( aReductOfIn0 @ W0 @ xd @ xR )
              & ( aElement0 @ W0 ) )
          | ( aReductOfIn0 @ xx @ xd @ xR ) ) )
      | ( xd = xx ) )
    & ( sdtmndtasgtdt0 @ xb @ xR @ xx )
    & ( ( ( sdtmndtplgtdt0 @ xb @ xR @ xx )
        & ( ? [W0: $i] :
              ( ( sdtmndtplgtdt0 @ W0 @ xR @ xx )
              & ( aReductOfIn0 @ W0 @ xb @ xR )
              & ( aElement0 @ W0 ) )
          | ( aReductOfIn0 @ xx @ xb @ xR ) ) )
      | ( xb = xx ) )
    & ( aElement0 @ xx ) ) ).

thf(zip_derived_cl131,plain,
    ( ( sdtmndtplgtdt0 @ xb @ xR @ xx )
    | ( xb = xx ) ),
    inference(cnf,[status(esa)],[m__850]) ).

thf(zip_derived_cl136,plain,
    ( ( sdtmndtplgtdt0 @ xd @ xR @ xx )
    | ( xd = xx ) ),
    inference(cnf,[status(esa)],[m__850]) ).

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_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(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_cl128,plain,
    ! [X0: $i] :
      ~ ( aReductOfIn0 @ X0 @ xd @ xR ),
    inference(cnf,[status(esa)],[m__818]) ).

thf(zip_derived_cl1198,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtplgtdt0 @ xd @ xR @ X0 )
      | ( aReductOfIn0 @ X0 @ xd @ xR )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ xd )
      | ~ ( aRewritingSystem0 @ xR ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl128]) ).

thf(zip_derived_cl128_001,plain,
    ! [X0: $i] :
      ~ ( aReductOfIn0 @ X0 @ xd @ xR ),
    inference(cnf,[status(esa)],[m__818]) ).

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

thf(m__656,axiom,
    aRewritingSystem0 @ xR ).

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

thf(zip_derived_cl1201,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtplgtdt0 @ xd @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1198,zip_derived_cl128,zip_derived_cl122,zip_derived_cl43]) ).

thf(zip_derived_cl1265,plain,
    ( ( xd = xx )
    | ~ ( aElement0 @ xx ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl1201]) ).

thf(zip_derived_cl130,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__850]) ).

thf(zip_derived_cl1267,plain,
    xd = xx,
    inference(demod,[status(thm)],[zip_derived_cl1265,zip_derived_cl130]) ).

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

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( sdtmndtasgtdt0 @ xb @ xR @ xd )
      | ( sdtmndtplgtdt0 @ xb @ xR @ xd )
      | ? [W0: $i] :
          ( ( sdtmndtplgtdt0 @ W0 @ xR @ xd )
          & ( aReductOfIn0 @ W0 @ xb @ xR )
          & ( aElement0 @ W0 ) )
      | ( aReductOfIn0 @ xd @ xb @ xR )
      | ( xb = xd ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl144,plain,
    ~ ( sdtmndtplgtdt0 @ xb @ xR @ xd ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1267_002,plain,
    xd = xx,
    inference(demod,[status(thm)],[zip_derived_cl1265,zip_derived_cl130]) ).

thf(zip_derived_cl1269,plain,
    xb = xd,
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl1267,zip_derived_cl144,zip_derived_cl1267]) ).

thf(zip_derived_cl141,plain,
    xb != xd,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1270,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1269,zip_derived_cl141]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COM021+4 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YiEnO4fe2P true
% 0.13/0.34  % Computer : n010.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 13:50:38 EDT 2025
% 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.59/0.66  % Total configuration time : 435
% 0.59/0.66  % Estimated wc time : 1092
% 0.59/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.85  % Solved by fo/fo6_bce.sh.
% 0.62/0.85  % BCE start: 146
% 0.62/0.85  % BCE eliminated: 0
% 0.62/0.85  % PE start: 146
% 0.62/0.85  logic: eq
% 0.62/0.85  % PE eliminated: 4
% 0.62/0.85  % done 51 iterations in 0.083s
% 0.62/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.62/0.85  % SZS output start Refutation
% See solution above
% 0.62/0.85  
% 0.62/0.85  
% 0.62/0.85  % Terminating...
% 0.62/0.88  % Runner terminated.
% 0.62/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------