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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM012+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Va9989nb0S true

% Computer : n001.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 1.46s 0.73s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   27 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  101 (  22 equ;   0 cnn)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  272 (  20   ~;  41   |;  29   &; 178   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   16 (   0   ^;  10   !;   6   ?;  16   :)

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

thf(xy_type,type,
    xy: $i ).

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

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

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

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

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

thf(xz_type,type,
    xz: $i ).

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

thf(m__,conjecture,
    ( ( ( ( xx = xy )
        | ( ( ( aReductOfIn0 @ xy @ xx @ xR )
            | ? [W0: $i] :
                ( ( sdtmndtplgtdt0 @ W0 @ xR @ xy )
                & ( aReductOfIn0 @ W0 @ xx @ xR )
                & ( aElement0 @ W0 ) ) )
          & ( sdtmndtplgtdt0 @ xx @ xR @ xy ) ) )
      & ( sdtmndtasgtdt0 @ xx @ xR @ xy )
      & ( ( xy = xz )
        | ( ( ( aReductOfIn0 @ xz @ xy @ xR )
            | ? [W0: $i] :
                ( ( sdtmndtplgtdt0 @ W0 @ xR @ xz )
                & ( aReductOfIn0 @ W0 @ xy @ xR )
                & ( aElement0 @ W0 ) ) )
          & ( sdtmndtplgtdt0 @ xy @ xR @ xz ) ) )
      & ( sdtmndtasgtdt0 @ xy @ xR @ xz ) )
   => ( ( xx = xz )
      | ( aReductOfIn0 @ xz @ xx @ xR )
      | ? [W0: $i] :
          ( ( sdtmndtplgtdt0 @ W0 @ xR @ xz )
          & ( aReductOfIn0 @ W0 @ xx @ xR )
          & ( aElement0 @ W0 ) )
      | ( sdtmndtplgtdt0 @ xx @ xR @ xz )
      | ( sdtmndtasgtdt0 @ xx @ xR @ xz ) ) ) ).

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

thf(zip_derived_cl26,plain,
    ( ( xy = xz )
    | ( sdtmndtplgtdt0 @ xy @ xR @ xz ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_001,plain,
    ( ( xy = xz )
    | ( sdtmndtplgtdt0 @ xy @ xR @ xz ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ( ( xx = xy )
    | ( sdtmndtplgtdt0 @ xx @ xR @ xy ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mTCTrans,axiom,
    ! [W0: $i,W1: $i,W2: $i,W3: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 )
        & ( aElement0 @ W2 )
        & ( aElement0 @ W3 ) )
     => ( ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
          & ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 ) )
       => ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( sdtmndtplgtdt0 @ X0 @ X1 @ X2 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ X3 )
      | ( sdtmndtplgtdt0 @ X0 @ X1 @ X3 )
      | ~ ( sdtmndtplgtdt0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[mTCTrans]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ( xx = xy )
      | ~ ( sdtmndtplgtdt0 @ xy @ xR @ X0 )
      | ( sdtmndtplgtdt0 @ xx @ xR @ X0 )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ xx )
      | ~ ( aRewritingSystem0 @ xR )
      | ~ ( aElement0 @ xy ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl10]) ).

thf(m__349,axiom,
    ( ( aElement0 @ xz )
    & ( aElement0 @ xy )
    & ( aRewritingSystem0 @ xR )
    & ( aElement0 @ xx ) ) ).

thf(zip_derived_cl17,plain,
    aElement0 @ xx,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl16,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl15,plain,
    aElement0 @ xy,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i] :
      ( ( xx = xy )
      | ~ ( sdtmndtplgtdt0 @ xy @ xR @ X0 )
      | ( sdtmndtplgtdt0 @ xx @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl17,zip_derived_cl16,zip_derived_cl15]) ).

thf(zip_derived_cl94,plain,
    ( ( xy = xz )
    | ~ ( aElement0 @ xz )
    | ( sdtmndtplgtdt0 @ xx @ xR @ xz )
    | ( xx = xy ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl90]) ).

thf(zip_derived_cl14,plain,
    aElement0 @ xz,
    inference(cnf,[status(esa)],[m__349]) ).

thf(zip_derived_cl96,plain,
    ( ( xy = xz )
    | ( sdtmndtplgtdt0 @ xx @ xR @ xz )
    | ( xx = xy ) ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl14]) ).

thf(zip_derived_cl31,plain,
    ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103,plain,
    ( ( xx = xy )
    | ( xy = xz ) ),
    inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl31]) ).

thf(zip_derived_cl32,plain,
    ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112,plain,
    ( ~ ( sdtmndtasgtdt0 @ xx @ xR @ xy )
    | ( xx = xy ) ),
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl32]) ).

thf(zip_derived_cl22,plain,
    sdtmndtasgtdt0 @ xx @ xR @ xy,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl115,plain,
    xx = xy,
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl22]) ).

thf(zip_derived_cl115_002,plain,
    xx = xy,
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl22]) ).

thf(zip_derived_cl31_003,plain,
    ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    xx = xz,
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl115,zip_derived_cl115,zip_derived_cl31]) ).

thf(zip_derived_cl28,plain,
    xx != xz,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl120,zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : COM012+3 : TPTP v9.2.0. Released v4.0.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Va9989nb0S true
% 0.10/0.31  % Computer : n001.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 13:47:23 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox2/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
% 0.16/0.56  % Total configuration time : 435
% 0.16/0.56  % Estimated wc time : 1092
% 0.16/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.46/0.73  % Solved by fo/fo7.sh.
% 1.46/0.73  % done 45 iterations in 0.034s
% 1.46/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.46/0.73  % SZS output start Refutation
% See solution above
% 1.46/0.73  
% 1.46/0.73  
% 1.46/0.73  % Terminating...
% 1.46/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.46/0.78  % Runner terminated.
% 1.46/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------