TSTP Solution File: SEU223+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU223+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t2BueWcbuV true

% Computer : n010.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 19:11:23 EDT 2023

% Result   : Theorem 0.19s 0.79s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   28 (   6 unt;  10 typ;   0 def)
%            Number of atoms       :   59 (  13 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  222 (  28   ~;  24   |;   7   &; 153   @)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  31   !;   0   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(relation_dom_restriction_type,type,
    relation_dom_restriction: $i > $i > $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

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

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

thf(apply_type,type,
    apply: $i > $i > $i ).

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

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

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(t68_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ! [C: $i] :
          ( ( ( relation @ C )
            & ( function @ C ) )
         => ( ( B
              = ( relation_dom_restriction @ C @ A ) )
          <=> ( ( ( relation_dom @ B )
                = ( set_intersection2 @ ( relation_dom @ C ) @ A ) )
              & ! [D: $i] :
                  ( ( in @ D @ ( relation_dom @ B ) )
                 => ( ( apply @ B @ D )
                    = ( apply @ C @ D ) ) ) ) ) ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( X2
       != ( relation_dom_restriction @ X0 @ X1 ) )
      | ( ( apply @ X2 @ X3 )
        = ( apply @ X0 @ X3 ) )
      | ~ ( in @ X3 @ ( relation_dom @ X2 ) )
      | ~ ( function @ X2 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t68_funct_1]) ).

thf(zip_derived_cl386,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ ( relation_dom_restriction @ X1 @ X0 ) )
      | ~ ( function @ ( relation_dom_restriction @ X1 @ X0 ) )
      | ~ ( in @ X2 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) ) )
      | ( ( apply @ ( relation_dom_restriction @ X1 @ X0 ) @ X2 )
        = ( apply @ X1 @ X2 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl62]) ).

thf(dt_k7_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ A )
     => ( relation @ ( relation_dom_restriction @ A @ B ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ( relation @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k7_relat_1]) ).

thf(zip_derived_cl464,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X1 )
      | ~ ( function @ X1 )
      | ( ( apply @ ( relation_dom_restriction @ X1 @ X0 ) @ X2 )
        = ( apply @ X1 @ X2 ) )
      | ~ ( in @ X2 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) ) )
      | ~ ( function @ ( relation_dom_restriction @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl386,zip_derived_cl30]) ).

thf(fc4_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( relation @ ( relation_dom_restriction @ A @ B ) )
        & ( function @ ( relation_dom_restriction @ A @ B ) ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( function @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc4_funct_1]) ).

thf(zip_derived_cl465,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) ) )
      | ( ( apply @ ( relation_dom_restriction @ X1 @ X0 ) @ X2 )
        = ( apply @ X1 @ X2 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl464,zip_derived_cl31]) ).

thf(t70_funct_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( relation @ C )
        & ( function @ C ) )
     => ( ( in @ B @ ( relation_dom @ ( relation_dom_restriction @ C @ A ) ) )
       => ( ( apply @ ( relation_dom_restriction @ C @ A ) @ B )
          = ( apply @ C @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( relation @ C )
          & ( function @ C ) )
       => ( ( in @ B @ ( relation_dom @ ( relation_dom_restriction @ C @ A ) ) )
         => ( ( apply @ ( relation_dom_restriction @ C @ A ) @ B )
            = ( apply @ C @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t70_funct_1]) ).

thf(zip_derived_cl58,plain,
    ( ( apply @ ( relation_dom_restriction @ sk__13 @ sk__11 ) @ sk__12 )
   != ( apply @ sk__13 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl466,plain,
    ( ( ( apply @ sk__13 @ sk__12 )
     != ( apply @ sk__13 @ sk__12 ) )
    | ~ ( relation @ sk__13 )
    | ~ ( function @ sk__13 )
    | ~ ( in @ sk__12 @ ( relation_dom @ ( relation_dom_restriction @ sk__13 @ sk__11 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl58]) ).

thf(zip_derived_cl56,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    function @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    in @ sk__12 @ ( relation_dom @ ( relation_dom_restriction @ sk__13 @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl467,plain,
    ( ( apply @ sk__13 @ sk__12 )
   != ( apply @ sk__13 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl466,zip_derived_cl56,zip_derived_cl57,zip_derived_cl59]) ).

thf(zip_derived_cl468,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl467]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU223+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t2BueWcbuV true
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Aug 23 17:14:21 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.19/0.64  % Total configuration time : 435
% 0.19/0.64  % Estimated wc time : 1092
% 0.19/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.79  % Solved by fo/fo3_bce.sh.
% 0.19/0.79  % BCE start: 64
% 0.19/0.79  % BCE eliminated: 2
% 0.19/0.79  % PE start: 62
% 0.19/0.79  logic: eq
% 0.19/0.79  % PE eliminated: 2
% 0.19/0.79  % done 126 iterations in 0.046s
% 0.19/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.79  % SZS output start Refutation
% See solution above
% 0.19/0.79  
% 0.19/0.79  
% 0.19/0.79  % Terminating...
% 1.52/0.85  % Runner terminated.
% 1.54/0.86  % Zipperpin 1.5 exiting
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