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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM007+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.M3gMMIIrYy 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 04:30:32 PM UTC 2025

% Result   : Theorem 0.47s 0.73s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   56 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  109 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  309 (  32   ~;  41   |;   5   &; 224   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   54 (   0   ^;  53   !;   1   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(goal_type,type,
    goal: $o ).

thf(rewrite_type,type,
    rewrite: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(c_type,type,
    c: $i ).

thf(equalish_type,type,
    equalish: $i > $i > $o ).

thf(b_type,type,
    b: $i ).

thf(a_type,type,
    a: $i ).

thf(reflexive_rewrite_type,type,
    reflexive_rewrite: $i > $i > $o ).

thf(assumption,axiom,
    ( ( reflexive_rewrite @ a @ c )
    & ( reflexive_rewrite @ a @ b ) ) ).

thf(zip_derived_cl0,plain,
    reflexive_rewrite @ a @ c,
    inference(cnf,[status(esa)],[assumption]) ).

thf(zip_derived_cl1,plain,
    reflexive_rewrite @ a @ b,
    inference(cnf,[status(esa)],[assumption]) ).

thf(equalish_or_rewrite,axiom,
    ! [A: $i,B: $i] :
      ( ( reflexive_rewrite @ A @ B )
     => ( ( equalish @ A @ B )
        | ( rewrite @ A @ B ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( rewrite @ X0 @ X1 )
      | ( equalish @ X0 @ X1 )
      | ~ ( reflexive_rewrite @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[equalish_or_rewrite]) ).

thf(zip_derived_cl16,plain,
    ( ( rewrite @ a @ b )
    | ( equalish @ a @ b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).

thf(symmtery,axiom,
    ! [A: $i,B: $i] :
      ( ( equalish @ A @ B )
     => ( equalish @ B @ A ) ) ).

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

thf(zip_derived_cl22,plain,
    ( ( rewrite @ a @ b )
    | ( equalish @ b @ a ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl4]) ).

thf(substitution,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( equalish @ A @ B )
        & ( reflexive_rewrite @ B @ C ) )
     => ( reflexive_rewrite @ A @ C ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( equalish @ X0 @ X1 )
      | ~ ( reflexive_rewrite @ X1 @ X2 )
      | ( reflexive_rewrite @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[substitution]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( rewrite @ a @ b )
      | ~ ( reflexive_rewrite @ a @ X0 )
      | ( reflexive_rewrite @ b @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl5]) ).

thf(zip_derived_cl49,plain,
    ( ( rewrite @ a @ b )
    | ( reflexive_rewrite @ b @ c ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl29]) ).

thf(zip_derived_cl1_001,plain,
    reflexive_rewrite @ a @ b,
    inference(cnf,[status(esa)],[assumption]) ).

thf(zip_derived_cl0_002,plain,
    reflexive_rewrite @ a @ c,
    inference(cnf,[status(esa)],[assumption]) ).

thf(zip_derived_cl8_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( rewrite @ X0 @ X1 )
      | ( equalish @ X0 @ X1 )
      | ~ ( reflexive_rewrite @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[equalish_or_rewrite]) ).

thf(zip_derived_cl17,plain,
    ( ( rewrite @ a @ c )
    | ( equalish @ a @ c ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).

thf(zip_derived_cl4_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( equalish @ X0 @ X1 )
      | ~ ( equalish @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[symmtery]) ).

thf(zip_derived_cl26,plain,
    ( ( rewrite @ a @ c )
    | ( equalish @ c @ a ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl4]) ).

thf(zip_derived_cl5_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( equalish @ X0 @ X1 )
      | ~ ( reflexive_rewrite @ X1 @ X2 )
      | ( reflexive_rewrite @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[substitution]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( rewrite @ a @ c )
      | ~ ( reflexive_rewrite @ a @ X0 )
      | ( reflexive_rewrite @ c @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl5]) ).

thf(zip_derived_cl52,plain,
    ( ( rewrite @ a @ c )
    | ( reflexive_rewrite @ c @ b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl32]) ).

thf(reflexivity,axiom,
    ! [A: $i] : ( equalish @ A @ A ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] : ( equalish @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(equalish_in_reflexive_rewrite,axiom,
    ! [A: $i,B: $i] :
      ( ( equalish @ A @ B )
     => ( reflexive_rewrite @ A @ B ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( reflexive_rewrite @ X0 @ X1 )
      | ~ ( equalish @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[equalish_in_reflexive_rewrite]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] : ( reflexive_rewrite @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(goal_ax,axiom,
    ! [A: $i] :
      ( ( ( reflexive_rewrite @ b @ A )
        & ( reflexive_rewrite @ c @ A ) )
     => goal ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( goal
      | ~ ( reflexive_rewrite @ b @ X0 )
      | ~ ( reflexive_rewrite @ c @ X0 ) ),
    inference(cnf,[status(esa)],[goal_ax]) ).

thf(goal_to_be_proved,conjecture,
    goal ).

thf(zf_stmt_0,negated_conjecture,
    ~ goal,
    inference('cnf.neg',[status(esa)],[goal_to_be_proved]) ).

thf(zip_derived_cl11,plain,
    ~ goal,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ~ ( reflexive_rewrite @ b @ X0 )
      | ~ ( reflexive_rewrite @ c @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).

thf(zip_derived_cl19,plain,
    ~ ( reflexive_rewrite @ c @ b ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).

thf(zip_derived_cl54,plain,
    rewrite @ a @ c,
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl19]) ).

thf(rewrite_diamond,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( rewrite @ A @ B )
        & ( rewrite @ A @ C ) )
     => ? [D: $i] :
          ( ( rewrite @ C @ D )
          & ( rewrite @ B @ D ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rewrite @ X0 @ X1 )
      | ~ ( rewrite @ X0 @ X2 )
      | ( rewrite @ X1 @ ( sk_ @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[rewrite_diamond]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ~ ( rewrite @ a @ X0 )
      | ( rewrite @ c @ ( sk_ @ X0 @ c ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl9]) ).

thf(zip_derived_cl75,plain,
    ( ( reflexive_rewrite @ b @ c )
    | ( rewrite @ c @ ( sk_ @ b @ c ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl57]) ).

thf(rewrite_in_reflexive_rewrite,axiom,
    ! [A: $i,B: $i] :
      ( ( rewrite @ A @ B )
     => ( reflexive_rewrite @ A @ B ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( reflexive_rewrite @ X0 @ X1 )
      | ~ ( rewrite @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[rewrite_in_reflexive_rewrite]) ).

thf(zip_derived_cl90,plain,
    ( ( reflexive_rewrite @ b @ c )
    | ( reflexive_rewrite @ c @ ( sk_ @ b @ c ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl7]) ).

thf(zip_derived_cl49_006,plain,
    ( ( rewrite @ a @ b )
    | ( reflexive_rewrite @ b @ c ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl29]) ).

thf(zip_derived_cl54_007,plain,
    rewrite @ a @ c,
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl19]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rewrite @ X0 @ X1 )
      | ~ ( rewrite @ X0 @ X2 )
      | ( rewrite @ X2 @ ( sk_ @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[rewrite_diamond]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ~ ( rewrite @ a @ X0 )
      | ( rewrite @ X0 @ ( sk_ @ X0 @ c ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl10]) ).

thf(zip_derived_cl72,plain,
    ( ( reflexive_rewrite @ b @ c )
    | ( rewrite @ b @ ( sk_ @ b @ c ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl58]) ).

thf(zip_derived_cl7_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( reflexive_rewrite @ X0 @ X1 )
      | ~ ( rewrite @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[rewrite_in_reflexive_rewrite]) ).

thf(zip_derived_cl84,plain,
    ( ( reflexive_rewrite @ b @ c )
    | ( reflexive_rewrite @ b @ ( sk_ @ b @ c ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl7]) ).

thf(zip_derived_cl12_009,plain,
    ! [X0: $i] :
      ( ~ ( reflexive_rewrite @ b @ X0 )
      | ~ ( reflexive_rewrite @ c @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).

thf(zip_derived_cl100,plain,
    ( ( reflexive_rewrite @ b @ c )
    | ~ ( reflexive_rewrite @ c @ ( sk_ @ b @ c ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl12]) ).

thf(zip_derived_cl117,plain,
    reflexive_rewrite @ b @ c,
    inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl100]) ).

thf(zip_derived_cl12_010,plain,
    ! [X0: $i] :
      ( ~ ( reflexive_rewrite @ b @ X0 )
      | ~ ( reflexive_rewrite @ c @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).

thf(zip_derived_cl119,plain,
    ~ ( reflexive_rewrite @ c @ c ),
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl12]) ).

thf(zip_derived_cl14_011,plain,
    ! [X0: $i] : ( reflexive_rewrite @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl121,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : COM007+1 : TPTP v9.2.0. Released v3.2.0.
% 0.08/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.M3gMMIIrYy true
% 0.09/0.31  % Computer : n022.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Wed Oct  1 13:49:53 EDT 2025
% 0.09/0.31  % CPUTime  : 
% 0.09/0.31  % Running portfolio for 300 s
% 0.09/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31  % Number of cores: 8
% 0.15/0.31  % Python version: Python 3.6.8
% 0.15/0.31  % Running in FO mode
% 0.43/0.57  % Total configuration time : 435
% 0.43/0.57  % Estimated wc time : 1092
% 0.43/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.73  % Solved by fo/fo13.sh.
% 0.47/0.73  % done 53 iterations in 0.038s
% 0.47/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.73  % SZS output start Refutation
% See solution above
% 0.47/0.73  
% 0.47/0.73  
% 0.47/0.73  % Terminating...
% 1.65/0.78  % Runner terminated.
% 1.65/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------