TSTP Solution File: SEU096+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU096+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.m2RDssmNmf true

% Computer : n008.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 19:10:26 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   48 (   2 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  137 (  21   ~;  19   |;   7   &;  83   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(finite_type,type,
    finite: $i > $o ).

thf(sk__27_type,type,
    sk__27: $i ).

thf(relation_image_type,type,
    relation_image: $i > $i > $i ).

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

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

thf(sk__26_type,type,
    sk__26: $i ).

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

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

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

thf(t27_finset_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( ( subset @ A @ ( relation_rng @ B ) )
          & ( finite @ ( relation_inverse_image @ B @ A ) ) )
       => ( finite @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( relation @ B )
          & ( function @ B ) )
       => ( ( ( subset @ A @ ( relation_rng @ B ) )
            & ( finite @ ( relation_inverse_image @ B @ A ) ) )
         => ( finite @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t27_finset_1]) ).

thf(zip_derived_cl136,plain,
    subset @ sk__26 @ ( relation_rng @ sk__27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t147_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( subset @ A @ ( relation_rng @ B ) )
       => ( ( relation_image @ B @ ( relation_inverse_image @ B @ A ) )
          = A ) ) ) ).

thf(zip_derived_cl133,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subset @ X0 @ ( relation_rng @ X1 ) )
      | ( ( relation_image @ X1 @ ( relation_inverse_image @ X1 @ X0 ) )
        = X0 )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[t147_funct_1]) ).

thf(fc13_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ A )
        & ( function @ A )
        & ( finite @ B ) )
     => ( finite @ ( relation_image @ A @ B ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ~ ( finite @ X1 )
      | ( finite @ ( relation_image @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc13_finset_1]) ).

thf(zip_derived_cl976,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X1 )
      | ~ ( function @ X1 )
      | ~ ( subset @ X0 @ ( relation_rng @ X1 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 )
      | ~ ( finite @ ( relation_inverse_image @ X1 @ X0 ) )
      | ( finite @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl133,zip_derived_cl29]) ).

thf(zip_derived_cl977,plain,
    ! [X0: $i,X1: $i] :
      ( ( finite @ X0 )
      | ~ ( finite @ ( relation_inverse_image @ X1 @ X0 ) )
      | ~ ( subset @ X0 @ ( relation_rng @ X1 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl976]) ).

thf(zip_derived_cl986,plain,
    ( ( finite @ sk__26 )
    | ~ ( finite @ ( relation_inverse_image @ sk__27 @ sk__26 ) )
    | ~ ( function @ sk__27 )
    | ~ ( relation @ sk__27 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl977]) ).

thf(zip_derived_cl140,plain,
    ~ ( finite @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137,plain,
    finite @ ( relation_inverse_image @ sk__27 @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    function @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139,plain,
    relation @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl988,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl986,zip_derived_cl140,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU096+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m2RDssmNmf true
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 18:07:17 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76  % Solved by fo/fo6_bce.sh.
% 0.22/0.76  % BCE start: 149
% 0.22/0.76  % BCE eliminated: 21
% 0.22/0.76  % PE start: 128
% 0.22/0.76  logic: eq
% 0.22/0.76  % PE eliminated: 4
% 0.22/0.76  % done 154 iterations in 0.042s
% 0.22/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.76  % SZS output start Refutation
% See solution above
% 0.22/0.76  
% 0.22/0.76  
% 0.22/0.76  % Terminating...
% 1.27/0.85  % Runner terminated.
% 1.27/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------