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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM304+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.P7YViC4u9U true

% Computer : n009.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 04:46:08 PM UTC 2025

% Result   : Theorem 0.53s 0.81s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   57 (  10   ~;   3   |;   2   &;  40   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  29   !;   2   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rdnn_type,type,
    rdnn: $i > $i ).

thf(rdn_pos_type,type,
    rdn_pos: $i > $i ).

thf(rdn_neg_type,type,
    rdn_neg: $i > $i ).

thf(n0_type,type,
    n0: $i ).

thf(rdn_translate_type,type,
    rdn_translate: $i > $i > $o ).

thf(n12_type,type,
    n12: $i ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(less_property,axiom,
    ! [X: $i,Y: $i] :
      ( ( less @ X @ Y )
    <=> ( ~ ( less @ Y @ X )
        & ( Y != X ) ) ) ).

thf(zip_derived_cl284,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(something_not_n12,conjecture,
    ? [X: $i] : ( X != n12 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i] : ( X != n12 ),
    inference('cnf.neg',[status(esa)],[something_not_n12]) ).

thf(zip_derived_cl406,plain,
    ! [X0: $i] : ( X0 = n12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl406_001,plain,
    ! [X0: $i] : ( X0 = n12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl407,plain,
    ! [X0: $i,X1: $i] : ( X1 = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl406]) ).

thf(zip_derived_cl411,plain,
    ! [X0: $i,X1: $i] :
      ~ ( less @ X0 @ X1 ),
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl284,zip_derived_cl407]) ).

thf(less_entry_point_neg_pos,axiom,
    ! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
      ( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
        & ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) ) )
     => ( less @ X @ Y ) ) ).

thf(zip_derived_cl281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( rdn_translate @ X0 @ ( rdn_neg @ X2 ) )
      | ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) ) ),
    inference(cnf,[status(esa)],[less_entry_point_neg_pos]) ).

thf(zip_derived_cl407_002,plain,
    ! [X0: $i,X1: $i] : ( X1 = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl406]) ).

thf(zip_derived_cl407_003,plain,
    ! [X0: $i,X1: $i] : ( X1 = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl406]) ).

thf(rdn0,axiom,
    rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ) ).

thf(zip_derived_cl0,plain,
    rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ),
    inference(cnf,[status(esa)],[rdn0]) ).

thf(zip_derived_cl412,plain,
    ! [X0: $i] : ( rdn_translate @ n0 @ X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl407,zip_derived_cl0]) ).

thf(zip_derived_cl447,plain,
    ! [X0: $i,X1: $i] : ( rdn_translate @ X0 @ X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl407,zip_derived_cl412]) ).

thf(zip_derived_cl447_004,plain,
    ! [X0: $i,X1: $i] : ( rdn_translate @ X0 @ X1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl407,zip_derived_cl412]) ).

thf(zip_derived_cl464,plain,
    ! [X0: $i,X1: $i] : ( less @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl447,zip_derived_cl447]) ).

thf(zip_derived_cl465,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl411,zip_derived_cl464]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM304+1 : TPTP v9.2.0. Released v3.1.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.P7YViC4u9U true
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 16:18:38 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.44/0.60  % Total configuration time : 435
% 0.44/0.60  % Estimated wc time : 1092
% 0.44/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.52/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 0.53/0.81  % Solved by fo/fo1_av.sh.
% 0.53/0.81  % done 54 iterations in 0.074s
% 0.53/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.81  % SZS output start Refutation
% See solution above
% 0.53/0.81  
% 0.53/0.81  
% 0.53/0.81  % Terminating...
% 0.56/0.93  % Runner terminated.
% 1.97/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------