TSTP Solution File: ALG199+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG199+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fRuXj1SF9T true

% Computer : n005.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 17:12:06 EDT 2023

% Result   : Theorem 1.20s 1.00s
% Output   : Refutation 1.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   31 (  17 unt;   8 typ;   0 def)
%            Number of atoms       :  100 (  99 equ;   0 cnn)
%            Maximal formula atoms :   21 (   4 avg)
%            Number of connectives :  342 (  57   ~;  36   |;  41   &; 208   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(e4_type,type,
    e4: $i ).

thf(e3_type,type,
    e3: $i ).

thf(e5_type,type,
    e5: $i ).

thf(e2_type,type,
    e2: $i ).

thf(e1_type,type,
    e1: $i ).

thf(e0_type,type,
    e0: $i ).

thf(op_type,type,
    op: $i > $i > $i ).

thf(e6_type,type,
    e6: $i ).

thf(co1,conjecture,
    ~ ( ( ( op @ e0 @ e0 )
       != e0 )
      & ( ( op @ e1 @ e1 )
       != e1 )
      & ( ( op @ e2 @ e2 )
       != e2 )
      & ( ( op @ e3 @ e3 )
       != e3 )
      & ( ( op @ e4 @ e4 )
       != e4 )
      & ( ( op @ e5 @ e5 )
       != e5 )
      & ( ( op @ e6 @ e6 )
       != e6 )
      & ( ( ( op @ e0 @ e0 )
          = e0 )
        | ( ( op @ e1 @ e1 )
          = e1 )
        | ( ( op @ e2 @ e2 )
          = e2 )
        | ( ( op @ e3 @ e3 )
          = e3 )
        | ( ( op @ e4 @ e4 )
          = e4 )
        | ( ( op @ e5 @ e5 )
          = e5 )
        | ( ( op @ e6 @ e6 )
          = e6 ) )
      & ( ( ( op @ e0 @ e0 )
         != e0 )
        | ( ( op @ e1 @ e1 )
         != e1 )
        | ( ( op @ e2 @ e2 )
         != e2 )
        | ( ( op @ e3 @ e3 )
         != e3 )
        | ( ( op @ e4 @ e4 )
         != e4 )
        | ( ( op @ e5 @ e5 )
         != e5 )
        | ( ( op @ e6 @ e6 )
         != e6 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ( op @ e0 @ e0 )
     != e0 )
    & ( ( op @ e1 @ e1 )
     != e1 )
    & ( ( op @ e2 @ e2 )
     != e2 )
    & ( ( op @ e3 @ e3 )
     != e3 )
    & ( ( op @ e4 @ e4 )
     != e4 )
    & ( ( op @ e5 @ e5 )
     != e5 )
    & ( ( op @ e6 @ e6 )
     != e6 )
    & ( ( ( op @ e0 @ e0 )
        = e0 )
      | ( ( op @ e1 @ e1 )
        = e1 )
      | ( ( op @ e2 @ e2 )
        = e2 )
      | ( ( op @ e3 @ e3 )
        = e3 )
      | ( ( op @ e4 @ e4 )
        = e4 )
      | ( ( op @ e5 @ e5 )
        = e5 )
      | ( ( op @ e6 @ e6 )
        = e6 ) )
    & ( ( ( op @ e0 @ e0 )
       != e0 )
      | ( ( op @ e1 @ e1 )
       != e1 )
      | ( ( op @ e2 @ e2 )
       != e2 )
      | ( ( op @ e3 @ e3 )
       != e3 )
      | ( ( op @ e4 @ e4 )
       != e4 )
      | ( ( op @ e5 @ e5 )
       != e5 )
      | ( ( op @ e6 @ e6 )
       != e6 ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl524,plain,
    ( ( ( op @ e0 @ e0 )
      = e0 )
    | ( ( op @ e1 @ e1 )
      = e1 )
    | ( ( op @ e2 @ e2 )
      = e2 )
    | ( ( op @ e3 @ e3 )
      = e3 )
    | ( ( op @ e4 @ e4 )
      = e4 )
    | ( ( op @ e5 @ e5 )
      = e5 )
    | ( ( op @ e6 @ e6 )
      = e6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax6,axiom,
    ( ( e6
      = ( op @ ( op @ ( op @ ( op @ e5 @ ( op @ e5 @ e5 ) ) @ ( op @ e5 @ ( op @ e5 @ e5 ) ) ) @ e5 ) @ ( op @ e5 @ ( op @ e5 @ e5 ) ) ) )
    & ( e4
      = ( op @ e5 @ ( op @ e5 @ e5 ) ) )
    & ( e3
      = ( op @ ( op @ ( op @ e5 @ ( op @ e5 @ e5 ) ) @ ( op @ e5 @ ( op @ e5 @ e5 ) ) ) @ e5 ) )
    & ( e2
      = ( op @ ( op @ e5 @ ( op @ e5 @ e5 ) ) @ ( op @ e5 @ ( op @ e5 @ e5 ) ) ) )
    & ( e1
      = ( op @ e5 @ e5 ) )
    & ( e0
      = ( op @ ( op @ ( op @ e5 @ ( op @ e5 @ e5 ) ) @ ( op @ e5 @ ( op @ e5 @ e5 ) ) ) @ ( op @ e5 @ ( op @ e5 @ e5 ) ) ) ) ) ).

thf(zip_derived_cl514,plain,
    ( e2
    = ( op @ ( op @ e5 @ ( op @ e5 @ e5 ) ) @ ( op @ e5 @ ( op @ e5 @ e5 ) ) ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl515,plain,
    ( e1
    = ( op @ e5 @ e5 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl512,plain,
    ( e4
    = ( op @ e5 @ ( op @ e5 @ e5 ) ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl515_001,plain,
    ( e1
    = ( op @ e5 @ e5 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl526,plain,
    ( e4
    = ( op @ e5 @ e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl515]) ).

thf(zip_derived_cl515_002,plain,
    ( e1
    = ( op @ e5 @ e5 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl526_003,plain,
    ( e4
    = ( op @ e5 @ e1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl515]) ).

thf(zip_derived_cl569,plain,
    ( e2
    = ( op @ e4 @ e4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl515,zip_derived_cl526,zip_derived_cl515,zip_derived_cl526]) ).

thf(zip_derived_cl515_004,plain,
    ( e1
    = ( op @ e5 @ e5 ) ),
    inference(cnf,[status(esa)],[ax6]) ).

thf(zip_derived_cl797,plain,
    ( ( ( op @ e0 @ e0 )
      = e0 )
    | ( ( op @ e1 @ e1 )
      = e1 )
    | ( ( op @ e2 @ e2 )
      = e2 )
    | ( ( op @ e3 @ e3 )
      = e3 )
    | ( e2 = e4 )
    | ( e1 = e5 )
    | ( ( op @ e6 @ e6 )
      = e6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl524,zip_derived_cl569,zip_derived_cl515]) ).

thf(zip_derived_cl523,plain,
    ( ( op @ e6 @ e6 )
   != e6 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax5,axiom,
    ( ( e5 != e6 )
    & ( e4 != e6 )
    & ( e4 != e5 )
    & ( e3 != e6 )
    & ( e3 != e5 )
    & ( e3 != e4 )
    & ( e2 != e6 )
    & ( e2 != e5 )
    & ( e2 != e4 )
    & ( e2 != e3 )
    & ( e1 != e6 )
    & ( e1 != e5 )
    & ( e1 != e4 )
    & ( e1 != e3 )
    & ( e1 != e2 )
    & ( e0 != e6 )
    & ( e0 != e5 )
    & ( e0 != e4 )
    & ( e0 != e3 )
    & ( e0 != e2 )
    & ( e0 != e1 ) ) ).

thf(zip_derived_cl501,plain,
    e1 != e5,
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl498,plain,
    e2 != e4,
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl520,plain,
    ( ( op @ e3 @ e3 )
   != e3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    ( ( op @ e2 @ e2 )
   != e2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl518,plain,
    ( ( op @ e1 @ e1 )
   != e1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl517,plain,
    ( ( op @ e0 @ e0 )
   != e0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl798,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl797,zip_derived_cl523,zip_derived_cl501,zip_derived_cl498,zip_derived_cl520,zip_derived_cl519,zip_derived_cl518,zip_derived_cl517]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : ALG199+1 : TPTP v8.1.2. Released v2.7.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fRuXj1SF9T true
% 0.10/0.31  % Computer : n005.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 : Mon Aug 28 02:50:38 EDT 2023
% 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
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.14/0.58  % Total configuration time : 435
% 0.14/0.58  % Estimated wc time : 1092
% 0.14/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.80/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.80/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.80/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.80/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.80/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.20/1.00  % Solved by fo/fo13.sh.
% 1.20/1.00  % done 0 iterations in 0.301s
% 1.20/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.20/1.00  % SZS output start Refutation
% See solution above
% 1.20/1.01  
% 1.20/1.01  
% 1.20/1.01  % Terminating...
% 1.63/1.09  % Runner terminated.
% 1.63/1.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------