TSTP Solution File: COM012+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZAyiNo8QCf true

% Computer : n032.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 18:49:06 EDT 2023

% Result   : Theorem 0.12s 0.59s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   36 (  14 unt;   9 typ;   0 def)
%            Number of atoms       :  100 (  16 equ;   0 cnn)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  293 (  31   ~;  40   |;  29   &; 189   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   19 (   0   ^;  13   !;   6   ?;  19   :)

% 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_cl31,plain,
    ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

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

thf(zip_derived_cl204,plain,
    ( ( xx != xx )
    | ( xR != xR )
    | ( xy != xz ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl32]) ).

thf(zip_derived_cl229,plain,
    xy != xz,
    inference(simplify,[status(thm)],[zip_derived_cl204]) ).

thf(zip_derived_cl234,plain,
    sdtmndtplgtdt0 @ xy @ xR @ xz,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26,zip_derived_cl229]) ).

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

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

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_cl215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( sdtmndtplgtdt0 @ X0 @ xR @ X2 )
      | ( sdtmndtplgtdt0 @ X1 @ xR @ X2 )
      | ~ ( aElement0 @ X2 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElement0 @ X0 )
      | ~ ( sdtmndtplgtdt0 @ X1 @ xR @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl10]) ).

thf(zip_derived_cl321,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtplgtdt0 @ X0 @ xR @ xy )
      | ~ ( aElement0 @ xy )
      | ~ ( aElement0 @ X0 )
      | ~ ( aElement0 @ xz )
      | ( sdtmndtplgtdt0 @ X0 @ xR @ xz ) ),
    inference('sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl215]) ).

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

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

thf(zip_derived_cl332,plain,
    ! [X0: $i] :
      ( ~ ( sdtmndtplgtdt0 @ X0 @ xR @ xy )
      | ~ ( aElement0 @ X0 )
      | ( sdtmndtplgtdt0 @ X0 @ xR @ xz ) ),
    inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl15,zip_derived_cl14]) ).

thf(zip_derived_cl374,plain,
    ( ~ ( aElement0 @ xx )
    | ~ ( sdtmndtplgtdt0 @ xx @ xR @ xy ) ),
    inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl332]) ).

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

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

thf(zip_derived_cl27,plain,
    sdtmndtasgtdt0 @ xy @ xR @ xz,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_001,plain,
    ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl208,plain,
    ( ( xy != xx )
    | ( xR != xR )
    | ( xz != xz ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl32]) ).

thf(zip_derived_cl228,plain,
    xy != xx,
    inference(simplify,[status(thm)],[zip_derived_cl208]) ).

thf(zip_derived_cl233,plain,
    sdtmndtplgtdt0 @ xx @ xR @ xy,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl21,zip_derived_cl228]) ).

thf(zip_derived_cl378,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl374,zip_derived_cl17,zip_derived_cl233]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZAyiNo8QCf true
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Tue Aug 29 13:32:01 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.08/0.28  % Running portfolio for 300 s
% 0.08/0.28  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28  % Number of cores: 8
% 0.08/0.28  % Python version: Python 3.6.8
% 0.08/0.28  % Running in FO mode
% 0.12/0.49  % Total configuration time : 435
% 0.12/0.49  % Estimated wc time : 1092
% 0.12/0.49  % Estimated cpu time (7 cpus) : 156.0
% 0.12/0.54  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.12/0.54  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.12/0.55  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.12/0.56  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.12/0.56  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.12/0.57  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.12/0.57  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.12/0.59  % Solved by fo/fo3_bce.sh.
% 0.12/0.59  % BCE start: 33
% 0.12/0.59  % BCE eliminated: 0
% 0.12/0.59  % PE start: 33
% 0.12/0.59  logic: eq
% 0.12/0.59  % PE eliminated: 1
% 0.12/0.59  % done 62 iterations in 0.030s
% 0.12/0.59  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.12/0.59  % SZS output start Refutation
% See solution above
% 0.12/0.59  
% 0.12/0.59  
% 0.12/0.59  % Terminating...
% 0.12/0.70  % Runner terminated.
% 0.12/0.71  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------