TSTP Solution File: COM017+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3cWV5f96im true

% Computer : n028.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 18:49:08 EDT 2023

% Result   : Theorem 0.57s 0.89s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   64 (  20 unt;  13 typ;   0 def)
%            Number of atoms       :  164 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  557 (  93   ~;  90   |;  18   &; 351   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :   71 (   0   ^;  68   !;   3   ?;  71   :)

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

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

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

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

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

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

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

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

thf(sk__8_type,type,
    sk__8: $i > $i > $i > $i ).

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

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

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

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

thf(m__779,axiom,
    ( ( sdtmndtasgtdt0 @ xv @ xR @ xc )
    & ( aReductOfIn0 @ xv @ xa @ xR )
    & ( aElement0 @ xv ) ) ).

thf(zip_derived_cl58,plain,
    aReductOfIn0 @ xv @ xa @ xR,
    inference(cnf,[status(esa)],[m__779]) ).

thf(m__755,axiom,
    ( ( sdtmndtasgtdt0 @ xu @ xR @ xb )
    & ( aReductOfIn0 @ xu @ xa @ xR )
    & ( aElement0 @ xu ) ) ).

thf(zip_derived_cl55,plain,
    aReductOfIn0 @ xu @ xa @ xR,
    inference(cnf,[status(esa)],[m__755]) ).

thf(mWCRDef,axiom,
    ! [W0: $i] :
      ( ( aRewritingSystem0 @ W0 )
     => ( ( isLocallyConfluent0 @ W0 )
      <=> ! [W1: $i,W2: $i,W3: $i] :
            ( ( ( aElement0 @ W1 )
              & ( aElement0 @ W2 )
              & ( aElement0 @ W3 )
              & ( aReductOfIn0 @ W2 @ W1 @ W0 )
              & ( aReductOfIn0 @ W3 @ W1 @ W0 ) )
           => ? [W4: $i] :
                ( ( sdtmndtasgtdt0 @ W3 @ W0 @ W4 )
                & ( sdtmndtasgtdt0 @ W2 @ W0 @ W4 )
                & ( aElement0 @ W4 ) ) ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( isLocallyConfluent0 @ X0 )
      | ~ ( aReductOfIn0 @ X1 @ X2 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aElement0 @ X3 )
      | ~ ( aReductOfIn0 @ X3 @ X2 @ X0 )
      | ( sdtmndtasgtdt0 @ X3 @ X0 @ ( sk__8 @ X3 @ X1 @ X0 ) )
      | ~ ( aRewritingSystem0 @ X0 ) ),
    inference(cnf,[status(esa)],[mWCRDef]) ).

thf(mReduct,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W0 )
        & ( aRewritingSystem0 @ W1 ) )
     => ! [W2: $i] :
          ( ( aReductOfIn0 @ W2 @ W0 @ W1 )
         => ( aElement0 @ W2 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mReduct]) ).

thf(zip_derived_cl382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ( sdtmndtasgtdt0 @ X3 @ X0 @ ( sk__8 @ X3 @ X1 @ X0 ) )
      | ~ ( aReductOfIn0 @ X3 @ X2 @ X0 )
      | ~ ( aElement0 @ X3 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X1 @ X2 @ X0 )
      | ~ ( isLocallyConfluent0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl32,zip_derived_cl2]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mReduct]) ).

thf(zip_derived_cl383,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( isLocallyConfluent0 @ X0 )
      | ~ ( aReductOfIn0 @ X1 @ X2 @ X0 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X3 @ X2 @ X0 )
      | ( sdtmndtasgtdt0 @ X3 @ X0 @ ( sk__8 @ X3 @ X1 @ X0 ) )
      | ~ ( aRewritingSystem0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl382,zip_derived_cl2]) ).

thf(zip_derived_cl384,plain,
    ! [X0: $i] :
      ( ~ ( aRewritingSystem0 @ xR )
      | ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__8 @ X0 @ xu @ xR ) )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( aElement0 @ xa )
      | ~ ( isLocallyConfluent0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl383]) ).

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(m__656_01,axiom,
    ( ( isTerminating0 @ xR )
    & ( isLocallyConfluent0 @ xR ) ) ).

thf(zip_derived_cl45,plain,
    isLocallyConfluent0 @ xR,
    inference(cnf,[status(esa)],[m__656_01]) ).

thf(zip_derived_cl389,plain,
    ! [X0: $i] :
      ( ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__8 @ X0 @ xu @ xR ) )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR ) ),
    inference(demod,[status(thm)],[zip_derived_cl384,zip_derived_cl43,zip_derived_cl48,zip_derived_cl45]) ).

thf(zip_derived_cl803,plain,
    sdtmndtasgtdt0 @ xv @ xR @ ( sk__8 @ xv @ xu @ xR ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl389]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( sdtmndtasgtdt0 @ xv @ xR @ W0 )
      & ( sdtmndtasgtdt0 @ xu @ xR @ W0 )
      & ( aElement0 @ W0 ) ) ).

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

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ xv @ xR @ X0 )
      | ~ ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl810,plain,
    ( ~ ( aElement0 @ ( sk__8 @ xv @ xu @ xR ) )
    | ~ ( sdtmndtasgtdt0 @ xu @ xR @ ( sk__8 @ xv @ xu @ xR ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl803,zip_derived_cl60]) ).

thf(zip_derived_cl58_002,plain,
    aReductOfIn0 @ xv @ xa @ xR,
    inference(cnf,[status(esa)],[m__779]) ).

thf(zip_derived_cl55_003,plain,
    aReductOfIn0 @ xu @ xa @ xR,
    inference(cnf,[status(esa)],[m__755]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( isLocallyConfluent0 @ X0 )
      | ~ ( aReductOfIn0 @ X1 @ X2 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aElement0 @ X3 )
      | ~ ( aReductOfIn0 @ X3 @ X2 @ X0 )
      | ( aElement0 @ ( sk__8 @ X3 @ X1 @ X0 ) )
      | ~ ( aRewritingSystem0 @ X0 ) ),
    inference(cnf,[status(esa)],[mWCRDef]) ).

thf(zip_derived_cl2_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mReduct]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ( aElement0 @ ( sk__8 @ X3 @ X1 @ X0 ) )
      | ~ ( aReductOfIn0 @ X3 @ X2 @ X0 )
      | ~ ( aElement0 @ X3 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X1 @ X2 @ X0 )
      | ~ ( isLocallyConfluent0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl30,zip_derived_cl2]) ).

thf(zip_derived_cl2_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mReduct]) ).

thf(zip_derived_cl306,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( isLocallyConfluent0 @ X0 )
      | ~ ( aReductOfIn0 @ X1 @ X2 @ X0 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X3 @ X2 @ X0 )
      | ( aElement0 @ ( sk__8 @ X3 @ X1 @ X0 ) )
      | ~ ( aRewritingSystem0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl305,zip_derived_cl2]) ).

thf(zip_derived_cl307,plain,
    ! [X0: $i] :
      ( ~ ( aRewritingSystem0 @ xR )
      | ( aElement0 @ ( sk__8 @ X0 @ xu @ xR ) )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( aElement0 @ xa )
      | ~ ( isLocallyConfluent0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl306]) ).

thf(zip_derived_cl43_006,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl48_007,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl45_008,plain,
    isLocallyConfluent0 @ xR,
    inference(cnf,[status(esa)],[m__656_01]) ).

thf(zip_derived_cl312,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( sk__8 @ X0 @ xu @ xR ) )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR ) ),
    inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl43,zip_derived_cl48,zip_derived_cl45]) ).

thf(zip_derived_cl402,plain,
    aElement0 @ ( sk__8 @ xv @ xu @ xR ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl312]) ).

thf(zip_derived_cl58_009,plain,
    aReductOfIn0 @ xv @ xa @ xR,
    inference(cnf,[status(esa)],[m__779]) ).

thf(zip_derived_cl55_010,plain,
    aReductOfIn0 @ xu @ xa @ xR,
    inference(cnf,[status(esa)],[m__755]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( isLocallyConfluent0 @ X0 )
      | ~ ( aReductOfIn0 @ X1 @ X2 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aElement0 @ X3 )
      | ~ ( aReductOfIn0 @ X3 @ X2 @ X0 )
      | ( sdtmndtasgtdt0 @ X1 @ X0 @ ( sk__8 @ X3 @ X1 @ X0 ) )
      | ~ ( aRewritingSystem0 @ X0 ) ),
    inference(cnf,[status(esa)],[mWCRDef]) ).

thf(zip_derived_cl2_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mReduct]) ).

thf(zip_derived_cl370,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aRewritingSystem0 @ X0 )
      | ( sdtmndtasgtdt0 @ X1 @ X0 @ ( sk__8 @ X3 @ X1 @ X0 ) )
      | ~ ( aReductOfIn0 @ X3 @ X2 @ X0 )
      | ~ ( aElement0 @ X3 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X1 @ X2 @ X0 )
      | ~ ( isLocallyConfluent0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl2]) ).

thf(zip_derived_cl2_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ X1 )
      | ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mReduct]) ).

thf(zip_derived_cl371,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( isLocallyConfluent0 @ X0 )
      | ~ ( aReductOfIn0 @ X1 @ X2 @ X0 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aReductOfIn0 @ X3 @ X2 @ X0 )
      | ( sdtmndtasgtdt0 @ X1 @ X0 @ ( sk__8 @ X3 @ X1 @ X0 ) )
      | ~ ( aRewritingSystem0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl370,zip_derived_cl2]) ).

thf(zip_derived_cl372,plain,
    ! [X0: $i] :
      ( ~ ( aRewritingSystem0 @ xR )
      | ( sdtmndtasgtdt0 @ xu @ xR @ ( sk__8 @ X0 @ xu @ xR ) )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( aElement0 @ xa )
      | ~ ( isLocallyConfluent0 @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl371]) ).

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

thf(zip_derived_cl48_014,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl45_015,plain,
    isLocallyConfluent0 @ xR,
    inference(cnf,[status(esa)],[m__656_01]) ).

thf(zip_derived_cl377,plain,
    ! [X0: $i] :
      ( ( sdtmndtasgtdt0 @ xu @ xR @ ( sk__8 @ X0 @ xu @ xR ) )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR ) ),
    inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl43,zip_derived_cl48,zip_derived_cl45]) ).

thf(zip_derived_cl426,plain,
    sdtmndtasgtdt0 @ xu @ xR @ ( sk__8 @ xv @ xu @ xR ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl377]) ).

thf(zip_derived_cl824,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl810,zip_derived_cl402,zip_derived_cl426]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3cWV5f96im true
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 13:19:41 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.51/0.64  % Total configuration time : 435
% 0.51/0.64  % Estimated wc time : 1092
% 0.51/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.89  % Solved by fo/fo5.sh.
% 0.57/0.89  % done 234 iterations in 0.115s
% 0.57/0.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.89  % SZS output start Refutation
% See solution above
% 0.57/0.89  
% 0.57/0.89  
% 0.57/0.89  % Terminating...
% 1.56/0.94  % Runner terminated.
% 1.57/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------