TSTP Solution File: SEU047+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU047+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AsoJeNOXa1 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 Aug 31 19:10:18 EDT 2023

% Result   : Theorem 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   7 unt;   7 typ;   0 def)
%            Number of atoms       :   40 (  17 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  167 (  18   ~;  11   |;   4   &; 126   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__12_type,type,
    sk__12: $i ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(relation_rng_restriction_type,type,
    relation_rng_restriction: $i > $i > $i ).

thf(function_type,type,
    function: $i > $o ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(t130_relat_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( subset @ A @ B )
       => ( ( relation_rng_restriction @ A @ ( relation_rng_restriction @ B @ C ) )
          = ( relation_rng_restriction @ A @ C ) ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( relation @ X2 )
      | ( ( relation_rng_restriction @ X0 @ ( relation_rng_restriction @ X1 @ X2 ) )
        = ( relation_rng_restriction @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t130_relat_1]) ).

thf(t129_relat_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( subset @ A @ B )
       => ( ( relation_rng_restriction @ B @ ( relation_rng_restriction @ A @ C ) )
          = ( relation_rng_restriction @ A @ C ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( relation @ X2 )
      | ( ( relation_rng_restriction @ X1 @ ( relation_rng_restriction @ X0 @ X2 ) )
        = ( relation_rng_restriction @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t129_relat_1]) ).

thf(t97_funct_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( relation @ C )
        & ( function @ C ) )
     => ( ( subset @ A @ B )
       => ( ( ( relation_rng_restriction @ B @ ( relation_rng_restriction @ A @ C ) )
            = ( relation_rng_restriction @ A @ C ) )
          & ( ( relation_rng_restriction @ A @ ( relation_rng_restriction @ B @ C ) )
            = ( relation_rng_restriction @ A @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( relation @ C )
          & ( function @ C ) )
       => ( ( subset @ A @ B )
         => ( ( ( relation_rng_restriction @ B @ ( relation_rng_restriction @ A @ C ) )
              = ( relation_rng_restriction @ A @ C ) )
            & ( ( relation_rng_restriction @ A @ ( relation_rng_restriction @ B @ C ) )
              = ( relation_rng_restriction @ A @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t97_funct_1]) ).

thf(zip_derived_cl47,plain,
    ( ( ( relation_rng_restriction @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__13 ) )
     != ( relation_rng_restriction @ sk__11 @ sk__13 ) )
    | ( ( relation_rng_restriction @ sk__11 @ ( relation_rng_restriction @ sk__12 @ sk__13 ) )
     != ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl346,plain,
    ( ~ ( relation @ sk__13 )
    | ~ ( subset @ sk__11 @ sk__12 )
    | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
     != ( relation_rng_restriction @ sk__11 @ sk__13 ) )
    | ( ( relation_rng_restriction @ sk__11 @ ( relation_rng_restriction @ sk__12 @ sk__13 ) )
     != ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl47]) ).

thf(zip_derived_cl49,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    subset @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl351,plain,
    ( ( ( relation_rng_restriction @ sk__11 @ sk__13 )
     != ( relation_rng_restriction @ sk__11 @ sk__13 ) )
    | ( ( relation_rng_restriction @ sk__11 @ ( relation_rng_restriction @ sk__12 @ sk__13 ) )
     != ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl49,zip_derived_cl50]) ).

thf(zip_derived_cl352,plain,
    ( ( relation_rng_restriction @ sk__11 @ ( relation_rng_restriction @ sk__12 @ sk__13 ) )
   != ( relation_rng_restriction @ sk__11 @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl351]) ).

thf(zip_derived_cl367,plain,
    ( ~ ( relation @ sk__13 )
    | ~ ( subset @ sk__11 @ sk__12 )
    | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
     != ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl352]) ).

thf(zip_derived_cl49_001,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50_002,plain,
    subset @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl373,plain,
    ( ( relation_rng_restriction @ sk__11 @ sk__13 )
   != ( relation_rng_restriction @ sk__11 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl49,zip_derived_cl50]) ).

thf(zip_derived_cl374,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl373]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU047+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AsoJeNOXa1 true
% 0.16/0.37  % Computer : n001.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Wed Aug 23 23:00:40 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.16/0.38  % Running in FO mode
% 0.23/0.70  % Total configuration time : 435
% 0.23/0.70  % Estimated wc time : 1092
% 0.23/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.80  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.80  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.83  % Solved by fo/fo6_bce.sh.
% 0.61/0.83  % BCE start: 53
% 0.61/0.83  % BCE eliminated: 4
% 0.61/0.83  % PE start: 49
% 0.61/0.83  logic: eq
% 0.61/0.83  % PE eliminated: 0
% 0.61/0.83  % done 80 iterations in 0.039s
% 0.61/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.83  % SZS output start Refutation
% See solution above
% 0.61/0.83  
% 0.61/0.83  
% 0.61/0.83  % Terminating...
% 1.74/0.89  % Runner terminated.
% 1.74/0.90  % Zipperpin 1.5 exiting
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