TSTP Solution File: SEU090+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU090+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.UHgkAXXh2R true

% Computer : n024.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 19:10:25 EDT 2023

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (  10 unt;   8 typ;   0 def)
%            Number of atoms       :   39 (   2 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  122 (  14   ~;   8   |;   9   &;  87   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-4 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__27_type,type,
    sk__27: $i ).

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

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

thf(sk__28_type,type,
    sk__28: $i ).

thf(cartesian_product4_type,type,
    cartesian_product4: $i > $i > $i > $i > $i ).

thf(cartesian_product3_type,type,
    cartesian_product3: $i > $i > $i > $i ).

thf(cartesian_product2_type,type,
    cartesian_product2: $i > $i > $i ).

thf(sk__29_type,type,
    sk__29: $i ).

thf(t21_finset_1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( finite @ A )
        & ( finite @ B )
        & ( finite @ C )
        & ( finite @ D ) )
     => ( finite @ ( cartesian_product4 @ A @ B @ C @ D ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ( ( ( finite @ A )
          & ( finite @ B )
          & ( finite @ C )
          & ( finite @ D ) )
       => ( finite @ ( cartesian_product4 @ A @ B @ C @ D ) ) ),
    inference('cnf.neg',[status(esa)],[t21_finset_1]) ).

thf(zip_derived_cl138,plain,
    ~ ( finite @ ( cartesian_product4 @ sk__26 @ sk__27 @ sk__28 @ sk__29 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d4_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cartesian_product4 @ A @ B @ C @ D )
      = ( cartesian_product2 @ ( cartesian_product3 @ A @ B @ C ) @ D ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cartesian_product4 @ X0 @ X1 @ X2 @ X3 )
      = ( cartesian_product2 @ ( cartesian_product3 @ X0 @ X1 @ X2 ) @ X3 ) ),
    inference(cnf,[status(esa)],[d4_zfmisc_1]) ).

thf(zip_derived_cl1033,plain,
    ~ ( finite @ ( cartesian_product2 @ ( cartesian_product3 @ sk__26 @ sk__27 @ sk__28 ) @ sk__29 ) ),
    inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl26]) ).

thf(fc14_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( finite @ A )
        & ( finite @ B ) )
     => ( finite @ ( cartesian_product2 @ A @ B ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X0 )
      | ~ ( finite @ X1 )
      | ( finite @ ( cartesian_product2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc14_finset_1]) ).

thf(zip_derived_cl1055,plain,
    ( ~ ( finite @ sk__29 )
    | ~ ( finite @ ( cartesian_product3 @ sk__26 @ sk__27 @ sk__28 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1033,zip_derived_cl31]) ).

thf(zip_derived_cl139,plain,
    finite @ sk__29,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1056,plain,
    ~ ( finite @ ( cartesian_product3 @ sk__26 @ sk__27 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1055,zip_derived_cl139]) ).

thf(fc15_finset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( finite @ A )
        & ( finite @ B )
        & ( finite @ C ) )
     => ( finite @ ( cartesian_product3 @ A @ B @ C ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( finite @ X0 )
      | ~ ( finite @ X1 )
      | ~ ( finite @ X2 )
      | ( finite @ ( cartesian_product3 @ X1 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fc15_finset_1]) ).

thf(zip_derived_cl1066,plain,
    ( ~ ( finite @ sk__28 )
    | ~ ( finite @ sk__26 )
    | ~ ( finite @ sk__27 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1056,zip_derived_cl32]) ).

thf(zip_derived_cl142,plain,
    finite @ sk__28,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl141,plain,
    finite @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1067,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1066,zip_derived_cl142,zip_derived_cl140,zip_derived_cl141]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU090+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UHgkAXXh2R true
% 0.14/0.35  % Computer : n024.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 15:35:10 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
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77  % Solved by fo/fo3_bce.sh.
% 0.56/0.77  % BCE start: 151
% 0.56/0.77  % BCE eliminated: 20
% 0.56/0.77  % PE start: 131
% 0.56/0.77  logic: eq
% 0.56/0.77  % PE eliminated: 6
% 0.56/0.77  % done 170 iterations in 0.043s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 0.59/0.84  % Runner terminated.
% 0.59/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------