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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU103+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IIfdak2dv0 true

% Computer : n031.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 04:53:26 PM UTC 2025

% Result   : Theorem 4.85s 1.47s
% Output   : Refutation 4.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   41 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  123 (  10 equ;   0 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  445 (  63   ~;  58   |;  16   &; 300   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   66 (   0   ^;  66   !;   0   ?;  66   :)

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(sk__10_type,type,
    sk__10: $i ).

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

thf(prebool_union2_type,type,
    prebool_union2: $i > $i > $i > $i ).

thf(prebool_difference_type,type,
    prebool_difference: $i > $i > $i > $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(preboolean_type,type,
    preboolean: $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

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

thf(empty_type,type,
    empty: $i > $o ).

thf(t14_finsub_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( empty @ C )
        & ( preboolean @ C ) )
     => ( ( ( element @ A @ C )
          & ( element @ B @ C ) )
       => ( element @ ( symmetric_difference @ A @ B ) @ C ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ~ ( empty @ C )
          & ( preboolean @ C ) )
       => ( ( ( element @ A @ C )
            & ( element @ B @ C ) )
         => ( element @ ( symmetric_difference @ A @ B ) @ C ) ) ),
    inference('cnf.neg',[status(esa)],[t14_finsub_1]) ).

thf(zip_derived_cl56,plain,
    ~ ( element @ ( symmetric_difference @ sk__10 @ sk__11 ) @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    preboolean @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(redefinition_k2_finsub_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( empty @ A )
        & ( preboolean @ A )
        & ( element @ B @ A )
        & ( element @ C @ A ) )
     => ( ( prebool_difference @ A @ B @ C )
        = ( set_difference @ B @ C ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ~ ( preboolean @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X2 @ X1 )
      | ( ( prebool_difference @ X1 @ X0 @ X2 )
        = ( set_difference @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k2_finsub_1]) ).

thf(zip_derived_cl314,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( prebool_difference @ sk__12 @ X0 @ X1 )
        = ( set_difference @ X0 @ X1 ) )
      | ~ ( element @ X1 @ sk__12 )
      | ( empty @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl52]) ).

thf(zip_derived_cl54,plain,
    ~ ( empty @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl511,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( prebool_difference @ sk__12 @ X0 @ X1 )
        = ( set_difference @ X0 @ X1 ) )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl314,zip_derived_cl54]) ).

thf(zip_derived_cl55_001,plain,
    preboolean @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k2_finsub_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( empty @ A )
        & ( preboolean @ A )
        & ( element @ B @ A )
        & ( element @ C @ A ) )
     => ( element @ ( prebool_difference @ A @ B @ C ) @ A ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ~ ( preboolean @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X2 @ X1 )
      | ( element @ ( prebool_difference @ X1 @ X0 @ X2 ) @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k2_finsub_1]) ).

thf(zip_derived_cl311,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( prebool_difference @ sk__12 @ X0 @ X1 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ( empty @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl11]) ).

thf(zip_derived_cl54_002,plain,
    ~ ( empty @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl563,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( prebool_difference @ sk__12 @ X0 @ X1 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl54]) ).

thf(zip_derived_cl566,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( set_difference @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl511,zip_derived_cl563]) ).

thf(zip_derived_cl568,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ( element @ ( set_difference @ X1 @ X0 ) @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl566]) ).

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_cl9,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(zip_derived_cl55_003,plain,
    preboolean @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(redefinition_k1_finsub_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( empty @ A )
        & ( preboolean @ A )
        & ( element @ B @ A )
        & ( element @ C @ A ) )
     => ( ( prebool_union2 @ A @ B @ C )
        = ( set_union2 @ B @ C ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ~ ( preboolean @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X2 @ X1 )
      | ( ( prebool_union2 @ X1 @ X0 @ X2 )
        = ( set_union2 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k1_finsub_1]) ).

thf(zip_derived_cl313,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( prebool_union2 @ sk__12 @ X0 @ X1 )
        = ( set_union2 @ X0 @ X1 ) )
      | ~ ( element @ X1 @ sk__12 )
      | ( empty @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl51]) ).

thf(zip_derived_cl54_004,plain,
    ~ ( empty @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl491,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( prebool_union2 @ sk__12 @ X0 @ X1 )
        = ( set_union2 @ X0 @ X1 ) )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl54]) ).

thf(zip_derived_cl55_005,plain,
    preboolean @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k1_finsub_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( empty @ A )
        & ( preboolean @ A )
        & ( element @ B @ A )
        & ( element @ C @ A ) )
     => ( element @ ( prebool_union2 @ A @ B @ C ) @ A ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ X1 )
      | ~ ( preboolean @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X2 @ X1 )
      | ( element @ ( prebool_union2 @ X1 @ X0 @ X2 ) @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k1_finsub_1]) ).

thf(zip_derived_cl310,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( prebool_union2 @ sk__12 @ X0 @ X1 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ( empty @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl10]) ).

thf(zip_derived_cl54_006,plain,
    ~ ( empty @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl519,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( prebool_union2 @ sk__12 @ X0 @ X1 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl54]) ).

thf(zip_derived_cl522,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( set_union2 @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl491,zip_derived_cl519]) ).

thf(zip_derived_cl525,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ( element @ ( set_union2 @ X1 @ X0 ) @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl522]) ).

thf(zip_derived_cl534,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ ( set_difference @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ ( set_difference @ X0 @ X1 ) @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl525]) ).

thf(zip_derived_cl1730,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ ( set_difference @ X0 @ X1 ) @ sk__12 )
      | ( element @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl534]) ).

thf(zip_derived_cl568_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 )
      | ( element @ ( set_difference @ X1 @ X0 ) @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl566]) ).

thf(zip_derived_cl2720,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
      | ~ ( element @ X0 @ sk__12 )
      | ~ ( element @ X1 @ sk__12 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1730,zip_derived_cl568]) ).

thf(zip_derived_cl2728,plain,
    ( ~ ( element @ sk__10 @ sk__12 )
    | ~ ( element @ sk__11 @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl56,zip_derived_cl2720]) ).

thf(zip_derived_cl58,plain,
    element @ sk__10 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    element @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2736,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2728,zip_derived_cl58,zip_derived_cl57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEU103+1 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IIfdak2dv0 true
% 0.14/0.35  % Computer : n031.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 Oct  1 16:14:08 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.55/0.69  % Total configuration time : 435
% 0.55/0.69  % Estimated wc time : 1092
% 0.55/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.81  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.83  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.84  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 4.85/1.47  % Solved by fo/fo3_bce.sh.
% 4.85/1.47  % BCE start: 72
% 4.85/1.47  % BCE eliminated: 8
% 4.85/1.47  % PE start: 64
% 4.85/1.47  logic: eq
% 4.85/1.47  % PE eliminated: -3
% 4.85/1.47  % done 748 iterations in 0.628s
% 4.85/1.47  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.85/1.47  % SZS output start Refutation
% See solution above
% 4.85/1.47  
% 4.85/1.47  
% 4.85/1.47  % Terminating...
% 5.27/1.64  % Runner terminated.
% 5.27/1.65  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------