TSTP Solution File: SEU080+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU080+1 : 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.t1B5JxNnOY true

% Computer : n016.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 19:10:24 EDT 2023

% Result   : Theorem 0.22s 0.80s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   37 (  15 unt;   8 typ;   0 def)
%            Number of atoms       :   66 (  11 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  208 (  24   ~;  21   |;   9   &; 147   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__11_type,type,
    sk__11: $i ).

thf(relation_rng_type,type,
    relation_rng: $i > $i ).

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

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

thf(relation_inverse_image_type,type,
    relation_inverse_image: $i > $i > $i ).

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

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

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

thf(t161_funct_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( relation @ C )
        & ( function @ C ) )
     => ( ( ( ( relation_inverse_image @ C @ A )
            = ( relation_inverse_image @ C @ B ) )
          & ( subset @ A @ ( relation_rng @ C ) )
          & ( subset @ B @ ( relation_rng @ C ) ) )
       => ( A = B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( relation @ C )
          & ( function @ C ) )
       => ( ( ( ( relation_inverse_image @ C @ A )
              = ( relation_inverse_image @ C @ B ) )
            & ( subset @ A @ ( relation_rng @ C ) )
            & ( subset @ B @ ( relation_rng @ C ) ) )
         => ( A = B ) ) ),
    inference('cnf.neg',[status(esa)],[t161_funct_1]) ).

thf(zip_derived_cl42,plain,
    ( ( relation_inverse_image @ sk__13 @ sk__11 )
    = ( relation_inverse_image @ sk__13 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    subset @ sk__11 @ ( relation_rng @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t158_funct_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( relation @ C )
        & ( function @ C ) )
     => ( ( ( subset @ ( relation_inverse_image @ C @ A ) @ ( relation_inverse_image @ C @ B ) )
          & ( subset @ A @ ( relation_rng @ C ) ) )
       => ( subset @ A @ B ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( relation @ X2 )
      | ~ ( function @ X2 )
      | ~ ( subset @ X0 @ ( relation_rng @ X2 ) )
      | ~ ( subset @ ( relation_inverse_image @ X2 @ X0 ) @ ( relation_inverse_image @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t158_funct_1]) ).

thf(zip_derived_cl339,plain,
    ! [X0: $i] :
      ( ( subset @ sk__11 @ X0 )
      | ~ ( relation @ sk__13 )
      | ~ ( function @ sk__13 )
      | ~ ( subset @ ( relation_inverse_image @ sk__13 @ sk__11 ) @ ( relation_inverse_image @ sk__13 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl41]) ).

thf(zip_derived_cl46,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    function @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl344,plain,
    ! [X0: $i] :
      ( ( subset @ sk__11 @ X0 )
      | ~ ( subset @ ( relation_inverse_image @ sk__13 @ sk__11 ) @ ( relation_inverse_image @ sk__13 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl46,zip_derived_cl45]) ).

thf(zip_derived_cl538,plain,
    ( ( subset @ sk__11 @ sk__12 )
    | ~ ( subset @ ( relation_inverse_image @ sk__13 @ sk__11 ) @ ( relation_inverse_image @ sk__13 @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl344]) ).

thf(d10_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
    <=> ( ( subset @ A @ B )
        & ( subset @ B @ A ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[d10_xboole_0]) ).

thf(zip_derived_cl252,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl542,plain,
    subset @ sk__11 @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl538,zip_derived_cl252]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[d10_xboole_0]) ).

thf(zip_derived_cl545,plain,
    ( ( sk__12 = sk__11 )
    | ~ ( subset @ sk__12 @ sk__11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl8]) ).

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

thf(zip_derived_cl547,plain,
    ~ ( subset @ sk__12 @ sk__11 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl545,zip_derived_cl47]) ).

thf(zip_derived_cl252_001,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl44,plain,
    subset @ sk__12 @ ( relation_rng @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( relation @ X2 )
      | ~ ( function @ X2 )
      | ~ ( subset @ X0 @ ( relation_rng @ X2 ) )
      | ~ ( subset @ ( relation_inverse_image @ X2 @ X0 ) @ ( relation_inverse_image @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t158_funct_1]) ).

thf(zip_derived_cl340,plain,
    ! [X0: $i] :
      ( ( subset @ sk__12 @ X0 )
      | ~ ( relation @ sk__13 )
      | ~ ( function @ sk__13 )
      | ~ ( subset @ ( relation_inverse_image @ sk__13 @ sk__12 ) @ ( relation_inverse_image @ sk__13 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl41]) ).

thf(zip_derived_cl46_003,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45_004,plain,
    function @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42_005,plain,
    ( ( relation_inverse_image @ sk__13 @ sk__11 )
    = ( relation_inverse_image @ sk__13 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl345,plain,
    ! [X0: $i] :
      ( ( subset @ sk__12 @ X0 )
      | ~ ( subset @ ( relation_inverse_image @ sk__13 @ sk__11 ) @ ( relation_inverse_image @ sk__13 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl46,zip_derived_cl45,zip_derived_cl42]) ).

thf(zip_derived_cl548,plain,
    subset @ sk__12 @ sk__11,
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl345]) ).

thf(zip_derived_cl559,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl548]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t1B5JxNnOY true
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Aug 23 20:35:08 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.80  % Solved by fo/fo6_bce.sh.
% 0.22/0.80  % BCE start: 57
% 0.22/0.80  % BCE eliminated: 4
% 0.22/0.80  % PE start: 53
% 0.22/0.80  logic: eq
% 0.22/0.80  % PE eliminated: 0
% 0.22/0.80  % done 137 iterations in 0.063s
% 0.22/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.80  % SZS output start Refutation
% See solution above
% 0.22/0.80  
% 0.22/0.80  
% 0.22/0.81  % Terminating...
% 1.17/0.86  % Runner terminated.
% 1.17/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------