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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO079^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OWg2Iox8tQ true

% Computer : n012.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 05:06:25 PM UTC 2025

% Result   : Theorem 0.52s 0.74s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   40 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  135 (  22 equ;   2 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   83 (  32   ~;  18   |;   0   &;   2   @)
%                                         (  28 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cR_type,type,
    cR: $o ).

thf(cP_type,type,
    cP: $o ).

thf(cQ_type,type,
    cQ: $o ).

thf(cTHM50_A,conjecture,
    ( ( ( cP
      <=> cQ )
    <=> cR )
   => ( cP
    <=> ( cQ
      <=> cR ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( cP
        <=> cQ )
      <=> cR )
     => ( cP
      <=> ( cQ
        <=> cR ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM50_A]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( cP
        <=> cQ )
      <=> cR )
     => ( cP
      <=> ( cQ
        <=> cR ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( cP
    <=> cQ )
  <=> cR ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( ( cP
    <=> cQ )
    = cR ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ~ ( cP
    <=> ( cQ
      <=> cR ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( cP
   != ( cQ
    <=> cR ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl31,plain,
    ( cQ
    | ( cP
     != ( $false
      <=> cR ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl32,plain,
    ( cQ
    | ( cP
     != ( (~) @ cR ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl33,plain,
    ( cQ
    | ( cP = cR ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl3_001,plain,
    ( ( cP
    <=> cQ )
    = cR ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ( ( cP
    <=> cQ )
    | ~ cR ),
    inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ( ( cP = cQ )
    | ~ cR ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl52,plain,
    ( ( cR = cQ )
    | cQ
    | ~ cR ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl10]) ).

thf(zip_derived_cl4_002,plain,
    ( cP
   != ( cQ
    <=> cR ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl30,plain,
    ( ~ cP
    | ~ ( cQ
      <=> cR ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl35,plain,
    ( ~ cP
    | ( cQ != cR ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl3_003,plain,
    ( ( cP
    <=> cQ )
    = cR ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ( cP
    | ( ( $false
      <=> cQ )
      = cR ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ( cP
    | ( ( (~) @ cQ )
      = cR ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ( cP
    | ( cQ != cR ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl36,plain,
    cQ != cR,
    inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl9]) ).

thf(zip_derived_cl58,plain,
    ( cQ
    | ~ cR ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl52,zip_derived_cl36]) ).

thf(zip_derived_cl36_004,plain,
    cQ != cR,
    inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl9]) ).

thf(zip_derived_cl38,plain,
    ( ~ cQ
    | ~ cR ),
    inference(eq_elim,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl61,plain,
    ~ cR,
    inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl38]) ).

thf(zip_derived_cl62,plain,
    ~ ( cP
    <=> cQ ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl61]) ).

thf(zip_derived_cl63,plain,
    cP != cQ,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl36_005,plain,
    cQ != cR,
    inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl9]) ).

thf(zip_derived_cl37,plain,
    ( cQ
    | cR ),
    inference(eq_elim,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl4_006,plain,
    ( cP
   != ( cQ
    <=> cR ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl42,plain,
    ( ( cP
     != ( $true
      <=> cR ) )
    | cR ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl4]) ).

thf(zip_derived_cl44,plain,
    ( ( cP != cR )
    | cR ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl45,plain,
    ( cP
    | cR ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl61_007,plain,
    ~ cR,
    inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl38]) ).

thf(zip_derived_cl71,plain,
    cP,
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl61]) ).

thf(zip_derived_cl36_008,plain,
    cQ != cR,
    inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl9]) ).

thf(zip_derived_cl61_009,plain,
    ~ cR,
    inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl38]) ).

thf(zip_derived_cl69,plain,
    cQ,
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl61]) ).

thf(zip_derived_cl74,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl71,zip_derived_cl69]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SYO079^5 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OWg2Iox8tQ true
% 0.10/0.32  % Computer : n012.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Wed Oct  1 17:51:38 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in HO mode
% 0.47/0.62  % Total configuration time : 828
% 0.47/0.62  % Estimated wc time : 1656
% 0.47/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.74  % Solved by lams/35_full_unif4.sh.
% 0.52/0.74  % done 19 iterations in 0.018s
% 0.52/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.74  % SZS output start Refutation
% See solution above
% 0.52/0.74  
% 0.52/0.74  
% 0.52/0.74  % Terminating...
% 0.53/0.82  % Runner terminated.
% 0.53/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------