TSTP Solution File: SEU089+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU089+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.ocQ3Cmvcjf true

% Computer : n028.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 0.23s 0.79s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   32 (   2 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   96 (  13   ~;   8   |;   5   &;  67   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

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

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

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

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

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

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

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(d3_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( cartesian_product3 @ A @ B @ C )
      = ( cartesian_product2 @ ( cartesian_product2 @ A @ B ) @ C ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cartesian_product3 @ X0 @ X1 @ X2 )
      = ( cartesian_product2 @ ( cartesian_product2 @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[d3_zfmisc_1]) ).

thf(zip_derived_cl31_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X0 )
      | ~ ( finite @ X1 )
      | ( finite @ ( cartesian_product2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc14_finset_1]) ).

thf(zip_derived_cl885,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( finite @ ( cartesian_product2 @ X2 @ X1 ) )
      | ~ ( finite @ X0 )
      | ( finite @ ( cartesian_product3 @ X2 @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl31]) ).

thf(t20_finset_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( finite @ A )
        & ( finite @ B )
        & ( finite @ C ) )
     => ( finite @ ( cartesian_product3 @ A @ B @ C ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( finite @ A )
          & ( finite @ B )
          & ( finite @ C ) )
       => ( finite @ ( cartesian_product3 @ A @ B @ C ) ) ),
    inference('cnf.neg',[status(esa)],[t20_finset_1]) ).

thf(zip_derived_cl135,plain,
    ~ ( finite @ ( cartesian_product3 @ sk__26 @ sk__27 @ sk__28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl948,plain,
    ( ~ ( finite @ sk__28 )
    | ~ ( finite @ ( cartesian_product2 @ sk__26 @ sk__27 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl135]) ).

thf(zip_derived_cl136,plain,
    finite @ sk__28,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl949,plain,
    ~ ( finite @ ( cartesian_product2 @ sk__26 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl948,zip_derived_cl136]) ).

thf(zip_derived_cl952,plain,
    ( ~ ( finite @ sk__27 )
    | ~ ( finite @ sk__26 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl949]) ).

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

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

thf(zip_derived_cl953,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl952,zip_derived_cl138,zip_derived_cl137]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU089+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.ocQ3Cmvcjf true
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Aug 23 14:41:03 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.79  % Solved by fo/fo6_bce.sh.
% 0.23/0.79  % BCE start: 147
% 0.23/0.79  % BCE eliminated: 20
% 0.23/0.79  % PE start: 127
% 0.23/0.79  logic: eq
% 0.23/0.79  % PE eliminated: 6
% 0.23/0.79  % done 139 iterations in 0.043s
% 0.23/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.79  % SZS output start Refutation
% See solution above
% 0.23/0.79  
% 0.23/0.79  
% 0.23/0.79  % Terminating...
% 1.43/0.87  % Runner terminated.
% 1.43/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------