TSTP Solution File: COM016+1 by Zipperpin---2.1.9999

View Problem - Process Solution

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

% Computer : n004.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 18:49:07 EDT 2023

% Result   : Theorem 0.61s 0.91s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   58 (  21 unt;  10 typ;   0 def)
%            Number of atoms       :  142 (   7 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  453 (  79   ~;  77   |;  13   &; 280   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   34 (   0   ^;  31   !;   3   ?;  34   :)

% 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__,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(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_cl551,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ( X0 != xb )
      | ~ ( aElement0 @ xb )
      | ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ xR ) ),
    inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl12]) ).

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_cl552,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ( X0 != xb )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl551,zip_derived_cl47,zip_derived_cl43]) ).

thf(zip_derived_cl553,plain,
    ! [X0: $i] :
      ( ( X0 != xb )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( aElement0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl552]) ).

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_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_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_cl54_001,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtasgtdt0 @ X0 @ xR @ xb )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl560,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( sdtmndtplgtdt0 @ X0 @ xR @ xb )
      | ~ ( aElement0 @ xb )
      | ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ xR ) ),
    inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl11]) ).

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

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

thf(zip_derived_cl561,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ X0 )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( sdtmndtplgtdt0 @ X0 @ xR @ xb )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl560,zip_derived_cl47,zip_derived_cl43]) ).

thf(zip_derived_cl562,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtplgtdt0 @ X0 @ xR @ xb )
      | ~ ( aReductOfIn0 @ X0 @ xa @ xR )
      | ~ ( aElement0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl561]) ).

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_cl684,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ ( sk_ @ xb @ xR @ X0 ) )
      | ~ ( aReductOfIn0 @ ( sk_ @ xb @ xR @ X0 ) @ xa @ xR )
      | ~ ( sdtmndtplgtdt0 @ X0 @ xR @ xb )
      | ( aReductOfIn0 @ xb @ X0 @ xR )
      | ~ ( aElement0 @ xb )
      | ~ ( aElement0 @ X0 )
      | ~ ( aRewritingSystem0 @ xR ) ),
    inference('sup+',[status(thm)],[zip_derived_cl562,zip_derived_cl9]) ).

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

thf(zip_derived_cl43_005,plain,
    aRewritingSystem0 @ xR,
    inference(cnf,[status(esa)],[m__656]) ).

thf(zip_derived_cl685,plain,
    ! [X0: $i] :
      ( ~ ( aElement0 @ ( sk_ @ xb @ xR @ X0 ) )
      | ~ ( aReductOfIn0 @ ( sk_ @ xb @ xR @ X0 ) @ xa @ xR )
      | ~ ( sdtmndtplgtdt0 @ X0 @ xR @ xb )
      | ( aReductOfIn0 @ xb @ X0 @ xR )
      | ~ ( aElement0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl684,zip_derived_cl47,zip_derived_cl43]) ).

thf(zip_derived_cl705,plain,
    ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
    | ( aReductOfIn0 @ xb @ xa @ xR )
    | ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ xa )
    | ~ ( aRewritingSystem0 @ xR )
    | ~ ( aElement0 @ xa )
    | ( aReductOfIn0 @ xb @ xa @ xR )
    | ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
    | ~ ( aElement0 @ ( sk_ @ xb @ xR @ xa ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl685]) ).

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(zip_derived_cl47_006,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_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_cl53_009,plain,
    sdtmndtplgtdt0 @ xa @ xR @ xb,
    inference(cnf,[status(esa)],[m__731_02]) ).

thf(zip_derived_cl706,plain,
    ( ( aReductOfIn0 @ xb @ xa @ xR )
    | ( aReductOfIn0 @ xb @ xa @ xR )
    | ~ ( aElement0 @ ( sk_ @ xb @ xR @ xa ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl705,zip_derived_cl53,zip_derived_cl47,zip_derived_cl48,zip_derived_cl43,zip_derived_cl48,zip_derived_cl53]) ).

thf(zip_derived_cl707,plain,
    ( ~ ( aElement0 @ ( sk_ @ xb @ xR @ xa ) )
    | ( aReductOfIn0 @ xb @ xa @ xR ) ),
    inference(simplify,[status(thm)],[zip_derived_cl706]) ).

thf(zip_derived_cl711,plain,
    ( ~ ( sdtmndtplgtdt0 @ xa @ xR @ xb )
    | ( aReductOfIn0 @ xb @ xa @ xR )
    | ~ ( aElement0 @ xb )
    | ~ ( aElement0 @ xa )
    | ~ ( aRewritingSystem0 @ xR )
    | ( aReductOfIn0 @ xb @ xa @ xR ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl707]) ).

thf(zip_derived_cl53_010,plain,
    sdtmndtplgtdt0 @ xa @ xR @ xb,
    inference(cnf,[status(esa)],[m__731_02]) ).

thf(zip_derived_cl47_011,plain,
    aElement0 @ xb,
    inference(cnf,[status(esa)],[m__731]) ).

thf(zip_derived_cl48_012,plain,
    aElement0 @ xa,
    inference(cnf,[status(esa)],[m__731]) ).

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

thf(zip_derived_cl712,plain,
    ( ( aReductOfIn0 @ xb @ xa @ xR )
    | ( aReductOfIn0 @ xb @ xa @ xR ) ),
    inference(demod,[status(thm)],[zip_derived_cl711,zip_derived_cl53,zip_derived_cl47,zip_derived_cl48,zip_derived_cl43]) ).

thf(zip_derived_cl713,plain,
    aReductOfIn0 @ xb @ xa @ xR,
    inference(simplify,[status(thm)],[zip_derived_cl712]) ).

thf(zip_derived_cl722,plain,
    ( ~ ( aElement0 @ xb )
    | ( xb != xb ) ),
    inference('sup+',[status(thm)],[zip_derived_cl553,zip_derived_cl713]) ).

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

thf(zip_derived_cl724,plain,
    xb != xb,
    inference(demod,[status(thm)],[zip_derived_cl722,zip_derived_cl47]) ).

thf(zip_derived_cl725,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl724]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM016+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.SiOXKJxagp true
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 13:16:37 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.91  % Solved by fo/fo3_bce.sh.
% 0.61/0.91  % BCE start: 55
% 0.61/0.91  % BCE eliminated: 0
% 0.61/0.91  % PE start: 55
% 0.61/0.91  logic: eq
% 0.61/0.91  % PE eliminated: -18
% 0.61/0.91  % done 55 iterations in 0.102s
% 0.61/0.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.91  % SZS output start Refutation
% See solution above
% 0.61/0.91  
% 0.61/0.91  
% 0.61/0.91  % Terminating...
% 1.40/0.98  % Runner terminated.
% 1.94/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------