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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU420+4 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aBSpJ4ALS4 true

% Computer : n022.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 04:54:34 PM UTC 2025

% Result   : Theorem 71.31s 10.83s
% Output   : Refutation 71.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   65 (   8 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  291 (  26   ~;  19   |;   2   &; 232   @)
%                                         (   1 <=>;  11  =>;   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     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   58 (   0   ^;  58   !;   0   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
thf(k3_xboole_0_type,type,
    k3_xboole_0: $i > $i > $i ).

thf(sk__49_type,type,
    sk__49: $i ).

thf(sk__50_type,type,
    sk__50: $i ).

thf(k3_pua2mss1_type,type,
    k3_pua2mss1: $i > $i ).

thf(k9_relat_1_type,type,
    k9_relat_1: $i > $i > $i ).

thf(v1_relat_1_type,type,
    v1_relat_1: $i > $o ).

thf(sk__48_type,type,
    sk__48: $i ).

thf(r1_tarski_type,type,
    r1_tarski: $i > $i > $o ).

thf(t157_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ! [C: $i] :
          ( ( v1_relat_1 @ C )
         => ( ( r1_tarski @ B @ C )
           => ( r1_tarski @ ( k9_relat_1 @ B @ A ) @ ( k9_relat_1 @ C @ A ) ) ) ) ) ).

thf(zip_derived_cl139,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_relat_1 @ X0 )
      | ( r1_tarski @ ( k9_relat_1 @ X1 @ X2 ) @ ( k9_relat_1 @ X0 @ X2 ) )
      | ~ ( r1_tarski @ X1 @ X0 )
      | ~ ( v1_relat_1 @ X1 ) ),
    inference(cnf,[status(esa)],[t157_relat_1]) ).

thf(t3_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( ( r1_tarski @ A @ B )
       => ( v1_relat_1 @ A ) ) ) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_relat_1 @ X0 )
      | ~ ( v1_relat_1 @ X1 )
      | ~ ( r1_tarski @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_relat_1]) ).

thf(zip_derived_cl16790,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ X1 @ X0 )
      | ( r1_tarski @ ( k9_relat_1 @ X1 @ X2 ) @ ( k9_relat_1 @ X0 @ X2 ) )
      | ~ ( v1_relat_1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl105]) ).

thf(zip_derived_cl16790_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ X1 @ X0 )
      | ( r1_tarski @ ( k9_relat_1 @ X1 @ X2 ) @ ( k9_relat_1 @ X0 @ X2 ) )
      | ~ ( v1_relat_1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl139,zip_derived_cl105]) ).

thf(t19_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( r1_tarski @ A @ B )
        & ( r1_tarski @ A @ C ) )
     => ( r1_tarski @ A @ ( k3_xboole_0 @ B @ C ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ X0 @ X2 )
      | ( r1_tarski @ X0 @ ( k3_xboole_0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t19_xboole_1]) ).

thf(t13_relset_2,conjecture,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ! [C: $i] :
          ( ( v1_relat_1 @ C )
         => ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ B @ C ) @ ( k3_pua2mss1 @ A ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ B @ ( k3_pua2mss1 @ A ) ) @ ( k9_relat_1 @ C @ ( k3_pua2mss1 @ A ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( v1_relat_1 @ B )
       => ! [C: $i] :
            ( ( v1_relat_1 @ C )
           => ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ B @ C ) @ ( k3_pua2mss1 @ A ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ B @ ( k3_pua2mss1 @ A ) ) @ ( k9_relat_1 @ C @ ( k3_pua2mss1 @ A ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t13_relset_2]) ).

thf(zip_derived_cl353,plain,
    ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__49 @ sk__50 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ sk__49 @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(commutativity_k3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( k3_xboole_0 @ A @ B )
      = ( k3_xboole_0 @ B @ A ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl17_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl1245,plain,
    ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__49 @ ( k3_pua2mss1 @ sk__48 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl17,zip_derived_cl17]) ).

thf(zip_derived_cl1592,plain,
    ( ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__49 @ ( k3_pua2mss1 @ sk__48 ) ) )
    | ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1245]) ).

thf(zip_derived_cl16811,plain,
    ( ~ ( v1_relat_1 @ sk__49 )
    | ~ ( r1_tarski @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ sk__49 )
    | ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16790,zip_derived_cl1592]) ).

thf(zip_derived_cl352,plain,
    v1_relat_1 @ sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(d10_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
    <=> ( ( r1_tarski @ A @ B )
        & ( r1_tarski @ B @ A ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1_tarski @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[d10_xboole_0]) ).

thf(t18_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( r1_tarski @ A @ ( k3_xboole_0 @ B @ C ) )
     => ( r1_tarski @ A @ B ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ X0 @ ( k3_xboole_0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t18_xboole_1]) ).

thf(zip_derived_cl407,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
       != ( k3_xboole_0 @ X1 @ X0 ) )
      | ( r1_tarski @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl23]) ).

thf(zip_derived_cl1269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
       != ( k3_xboole_0 @ X1 @ X0 ) )
      | ( r1_tarski @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl407]) ).

thf(zip_derived_cl1440,plain,
    ! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X1 @ X0 ) @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl1269]) ).

thf(zip_derived_cl16847,plain,
    ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ ( k3_pua2mss1 @ sk__48 ) ) @ ( k9_relat_1 @ sk__50 @ ( k3_pua2mss1 @ sk__48 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl16811,zip_derived_cl352,zip_derived_cl1440]) ).

thf(zip_derived_cl16877,plain,
    ( ~ ( v1_relat_1 @ sk__50 )
    | ~ ( r1_tarski @ ( k3_xboole_0 @ sk__50 @ sk__49 ) @ sk__50 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16790,zip_derived_cl16847]) ).

thf(zip_derived_cl354,plain,
    v1_relat_1 @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t17_xboole_1,axiom,
    ! [A: $i,B: $i] : ( r1_tarski @ ( k3_xboole_0 @ A @ B ) @ A ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[t17_xboole_1]) ).

thf(zip_derived_cl16893,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16877,zip_derived_cl354,zip_derived_cl22]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU420+4 : TPTP v9.2.0. Released v3.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aBSpJ4ALS4 true
% 0.13/0.36  % Computer : n022.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 16:07:20 EDT 2025
% 0.20/0.36  % CPUTime  : 
% 0.20/0.36  % Running portfolio for 300 s
% 0.20/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.36  % Number of cores: 8
% 0.20/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 71.31/10.83  % Solved by fo/fo4.sh.
% 71.31/10.83  % done 2468 iterations in 10.031s
% 71.31/10.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 71.31/10.83  % SZS output start Refutation
% See solution above
% 71.31/10.84  
% 71.31/10.84  
% 71.31/10.84  % Terminating...
% 71.96/10.90  % Runner terminated.
% 71.96/10.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------