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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU245+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VJ3nGMlNTq true

% Computer : n019.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 Oct  2 04:53:59 PM UTC 2025

% Result   : Theorem 0.64s 1.02s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   36 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   82 (   8 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  301 (  33   ~;  36   |;   3   &; 222   @)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   49 (   0   ^;  49   !;   0   ?;  49   :)

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

thf(sk__8_type,type,
    sk__8: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

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

thf(in_type,type,
    in: $i > $i > $o ).

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

thf(relation_restriction_type,type,
    relation_restriction: $i > $i > $i ).

thf(t16_wellord1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( in @ A @ ( relation_restriction @ C @ B ) )
      <=> ( ( in @ A @ C )
          & ( in @ A @ ( cartesian_product2 @ B @ B ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( relation @ C )
       => ( ( in @ A @ ( relation_restriction @ C @ B ) )
        <=> ( ( in @ A @ C )
            & ( in @ A @ ( cartesian_product2 @ B @ B ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t16_wellord1]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( in @ sk__6 @ ( cartesian_product2 @ sk__7 @ sk__7 ) )
    | ~ ( in @ sk__6 @ sk__8 )
    | ~ ( in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ( ( in @ sk__6 @ sk__8 )
    | ( in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d6_wellord1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( relation_restriction @ A @ B )
          = ( set_intersection2 @ A @ ( cartesian_product2 @ B @ B ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( relation_restriction @ X0 @ X1 )
        = ( set_intersection2 @ X0 @ ( cartesian_product2 @ X1 @ X1 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d6_wellord1]) ).

thf(d3_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( set_intersection2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ A )
            & ( in @ D @ B ) ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( X1
       != ( set_intersection2 @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[d3_xboole_0]) ).

thf(zip_derived_cl239,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ ( set_intersection2 @ X0 @ X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl336,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X1 )
      | ( in @ X2 @ X1 )
      | ~ ( in @ X2 @ ( relation_restriction @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl239]) ).

thf(zip_derived_cl347,plain,
    ( ( in @ sk__6 @ sk__8 )
    | ~ ( relation @ sk__8 )
    | ( in @ sk__6 @ sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl336]) ).

thf(zip_derived_cl31,plain,
    relation @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl355,plain,
    ( ( in @ sk__6 @ sk__8 )
    | ( in @ sk__6 @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl31]) ).

thf(zip_derived_cl356,plain,
    in @ sk__6 @ sk__8,
    inference(simplify,[status(thm)],[zip_derived_cl355]) ).

thf(zip_derived_cl358,plain,
    ( ~ ( in @ sk__6 @ ( cartesian_product2 @ sk__7 @ sk__7 ) )
    | ~ ( in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl356]) ).

thf(zip_derived_cl356_001,plain,
    in @ sk__6 @ sk__8,
    inference(simplify,[status(thm)],[zip_derived_cl355]) ).

thf(zip_derived_cl34,plain,
    ( ( in @ sk__6 @ ( cartesian_product2 @ sk__7 @ sk__7 ) )
    | ( in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( relation_restriction @ X0 @ X1 )
        = ( set_intersection2 @ X0 @ ( cartesian_product2 @ X1 @ X1 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d6_wellord1]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X0 @ X2 )
      | ( in @ X0 @ X3 )
      | ( X3
       != ( set_intersection2 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[d3_xboole_0]) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
      | ~ ( in @ X2 @ X0 )
      | ~ ( in @ X2 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl385,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X1 )
      | ( in @ X2 @ ( relation_restriction @ X1 @ X0 ) )
      | ~ ( in @ X2 @ ( cartesian_product2 @ X0 @ X0 ) )
      | ~ ( in @ X2 @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl215]) ).

thf(zip_derived_cl485,plain,
    ! [X0: $i] :
      ( ( in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ) )
      | ~ ( relation @ X0 )
      | ( in @ sk__6 @ ( relation_restriction @ X0 @ sk__7 ) )
      | ~ ( in @ sk__6 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl385]) ).

thf(zip_derived_cl508,plain,
    ( ( in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ) )
    | ~ ( relation @ sk__8 )
    | ( in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl485]) ).

thf(zip_derived_cl31_003,plain,
    relation @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl510,plain,
    ( ( in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ) )
    | ( in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl508,zip_derived_cl31]) ).

thf(zip_derived_cl511,plain,
    in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ),
    inference(simplify,[status(thm)],[zip_derived_cl510]) ).

thf(zip_derived_cl518,plain,
    ~ ( in @ sk__6 @ ( cartesian_product2 @ sk__7 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl511]) ).

thf(zip_derived_cl511_004,plain,
    in @ sk__6 @ ( relation_restriction @ sk__8 @ sk__7 ),
    inference(simplify,[status(thm)],[zip_derived_cl510]) ).

thf(zip_derived_cl30_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( relation_restriction @ X0 @ X1 )
        = ( set_intersection2 @ X0 @ ( cartesian_product2 @ X1 @ X1 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d6_wellord1]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( X1
       != ( set_intersection2 @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[d3_xboole_0]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ ( set_intersection2 @ X2 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl247,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X1 )
      | ( in @ X2 @ ( cartesian_product2 @ X0 @ X0 ) )
      | ~ ( in @ X2 @ ( relation_restriction @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl229]) ).

thf(zip_derived_cl521,plain,
    ( ~ ( relation @ sk__8 )
    | ( in @ sk__6 @ ( cartesian_product2 @ sk__7 @ sk__7 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl247]) ).

thf(zip_derived_cl31_006,plain,
    relation @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl525,plain,
    in @ sk__6 @ ( cartesian_product2 @ sk__7 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl521,zip_derived_cl31]) ).

thf(zip_derived_cl536,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl518,zip_derived_cl525]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SEU245+1 : TPTP v9.2.0. Released v3.3.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VJ3nGMlNTq true
% 0.15/0.37  % Computer : n019.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Oct  1 16:09:08 EDT 2025
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.61/0.74  % Total configuration time : 435
% 0.61/0.74  % Estimated wc time : 1092
% 0.61/0.74  % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.81  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.81  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.82  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.84  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.85  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.64/0.87  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.64/0.97  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.64/1.02  % Solved by fo/fo6_bce.sh.
% 0.64/1.02  % BCE start: 41
% 0.64/1.02  % BCE eliminated: 2
% 0.64/1.02  % PE start: 39
% 0.64/1.02  logic: eq
% 0.64/1.02  % PE eliminated: 2
% 0.64/1.02  % done 144 iterations in 0.169s
% 0.64/1.02  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.64/1.02  % SZS output start Refutation
% See solution above
% 0.64/1.03  
% 0.64/1.03  
% 0.64/1.03  % Terminating...
% 2.68/1.15  % Runner terminated.
% 2.68/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------