TSTP Solution File: SEU097+1 by Zipperpin---2.1.9999

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU097+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.9nVUZpr1yv 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 1.01s 0.79s
% Output   : Refutation 1.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  11 unt;   6 typ;   0 def)
%            Number of atoms       :   36 (   4 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  117 (  15   ~;   8   |;   3   &;  87   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(symmetric_difference_type,type,
    symmetric_difference: $i > $i > $i ).

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(fc12_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( finite @ A )
     => ( finite @ ( set_difference @ A @ B ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X0 )
      | ( finite @ ( set_difference @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc12_finset_1]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X0 )
      | ( finite @ ( set_difference @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc12_finset_1]) ).

thf(d6_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( symmetric_difference @ A @ B )
      = ( set_union2 @ ( set_difference @ A @ B ) @ ( set_difference @ B @ A ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( symmetric_difference @ X0 @ X1 )
      = ( set_union2 @ ( set_difference @ X0 @ X1 ) @ ( set_difference @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[d6_xboole_0]) ).

thf(fc9_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( finite @ A )
        & ( finite @ B ) )
     => ( finite @ ( set_union2 @ A @ B ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X0 )
      | ~ ( finite @ X1 )
      | ( finite @ ( set_union2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc9_finset_1]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( finite @ ( symmetric_difference @ X1 @ X0 ) )
      | ~ ( finite @ ( set_difference @ X0 @ X1 ) )
      | ~ ( finite @ ( set_difference @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(t28_finset_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( finite @ A )
        & ( finite @ B ) )
     => ( finite @ ( symmetric_difference @ A @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( finite @ A )
          & ( finite @ B ) )
       => ( finite @ ( symmetric_difference @ A @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t28_finset_1]) ).

thf(zip_derived_cl14,plain,
    ~ ( finite @ ( symmetric_difference @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(commutativity_k5_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( symmetric_difference @ A @ B )
      = ( symmetric_difference @ B @ A ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( symmetric_difference @ X1 @ X0 )
      = ( symmetric_difference @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k5_xboole_0]) ).

thf(zip_derived_cl17,plain,
    ~ ( finite @ ( symmetric_difference @ sk__3 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl2]) ).

thf(zip_derived_cl25,plain,
    ( ~ ( finite @ ( set_difference @ sk__3 @ sk__2 ) )
    | ~ ( finite @ ( set_difference @ sk__2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl17]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( finite @ sk__3 )
    | ~ ( finite @ ( set_difference @ sk__2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl25]) ).

thf(zip_derived_cl15,plain,
    finite @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ~ ( finite @ ( set_difference @ sk__2 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl15]) ).

thf(zip_derived_cl38,plain,
    ~ ( finite @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl37]) ).

thf(zip_derived_cl16,plain,
    finite @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU097+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9nVUZpr1yv true
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Aug 23 13:14:02 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.01/0.79  % Solved by fo/fo4.sh.
% 1.01/0.79  % done 26 iterations in 0.012s
% 1.01/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.01/0.79  % SZS output start Refutation
% See solution above
% 1.01/0.79  
% 1.01/0.79  
% 1.01/0.79  % Terminating...
% 1.01/0.86  % Runner terminated.
% 1.01/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------