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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP075^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E68UN2Nnh4 true

% Computer : n029.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 04:38:45 PM UTC 2025

% Result   : Theorem 4.05s 2.15s
% Output   : Refutation 4.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   27 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   58 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  134 (  22   ~;  19   |;   2   &;  85   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   35 (  11   ^;  22   !;   2   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hF_Mirabelle_hf_type,type,
    hF_Mirabelle_hf: $tType ).

thf(a_type,type,
    a: hF_Mirabelle_hf ).

thf(p_type,type,
    p: $o ).

thf(sk__29_type,type,
    sk__29: hF_Mirabelle_hf ).

thf(hF_Mirabelle_hmem_type,type,
    hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).

thf(hF_Mirabelle_HBex_type,type,
    hF_Mirabelle_HBex: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > $o ).

thf(sk__1_type,type,
    sk__1: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(conj_0,conjecture,
    ( ( hF_Mirabelle_HBex @ a
      @ ^ [X3: hF_Mirabelle_hf] : p )
  <=> ( p
      & ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ a ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( hF_Mirabelle_HBex @ a
        @ ^ [X3: hF_Mirabelle_hf] : p )
    <=> ( p
        & ? [X3: hF_Mirabelle_hf] : ( hF_Mirabelle_hmem @ X3 @ a ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl132,plain,
    ( ( hF_Mirabelle_hmem @ sk__29 @ a )
    | ( hF_Mirabelle_HBex @ a
      @ ^ [Y0: hF_Mirabelle_hf] : p ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_2_hbexE,axiom,
    ! [A2: hF_Mirabelle_hf,P: hF_Mirabelle_hf > $o] :
      ( ( hF_Mirabelle_HBex @ A2 @ P )
     => ~ ! [X: hF_Mirabelle_hf] :
            ( ( hF_Mirabelle_hmem @ X @ A2 )
           => ~ ( P @ X ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: hF_Mirabelle_hf > $o,X1: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ ( sk__1 @ X0 @ X1 ) @ X1 )
      | ~ ( hF_Mirabelle_HBex @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_2_hbexE]) ).

thf(zip_derived_cl132_001,plain,
    ( ( hF_Mirabelle_hmem @ sk__29 @ a )
    | ( hF_Mirabelle_HBex @ a
      @ ^ [Y0: hF_Mirabelle_hf] : p ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ~ ( hF_Mirabelle_hmem @ X0 @ a )
      | ~ p
      | ~ ( hF_Mirabelle_HBex @ a
          @ ^ [Y0: hF_Mirabelle_hf] : p ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131,plain,
    ( p
    | ( hF_Mirabelle_HBex @ a
      @ ^ [Y0: hF_Mirabelle_hf] : p ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: hF_Mirabelle_hf > $o,X1: hF_Mirabelle_hf] :
      ( ( X0 @ ( sk__1 @ X0 @ X1 ) )
      | ~ ( hF_Mirabelle_HBex @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_2_hbexE]) ).

thf(zip_derived_cl517,plain,
    ( p
    | ( ^ [Y0: hF_Mirabelle_hf] : p
      @ ( sk__1
        @ ^ [Y0: hF_Mirabelle_hf] : p
        @ a ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl3]) ).

thf(zip_derived_cl540,plain,
    ( p
    | p ),
    inference(ho_norm,[status(thm)],[zip_derived_cl517]) ).

thf(zip_derived_cl541,plain,
    p,
    inference(simplify,[status(thm)],[zip_derived_cl540]) ).

thf(zip_derived_cl551,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ~ ( hF_Mirabelle_hmem @ X0 @ a )
      | ~ ( hF_Mirabelle_HBex @ a
          @ ^ [Y0: hF_Mirabelle_hf] : p ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl541]) ).

thf(zip_derived_cl569,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ sk__29 @ a )
      | ~ ( hF_Mirabelle_hmem @ X0 @ a ) ),
    inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl551]) ).

thf(zip_derived_cl760,plain,
    ! [X0: hF_Mirabelle_hf > $o] :
      ( ~ ( hF_Mirabelle_HBex @ a @ X0 )
      | ( hF_Mirabelle_hmem @ sk__29 @ a ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl569]) ).

thf(zip_derived_cl775,plain,
    ( ( hF_Mirabelle_hmem @ sk__29 @ a )
    | ( hF_Mirabelle_hmem @ sk__29 @ a ) ),
    inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl760]) ).

thf(zip_derived_cl778,plain,
    hF_Mirabelle_hmem @ sk__29 @ a,
    inference(simplify,[status(thm)],[zip_derived_cl775]) ).

thf(zip_derived_cl778_002,plain,
    hF_Mirabelle_hmem @ sk__29 @ a,
    inference(simplify,[status(thm)],[zip_derived_cl775]) ).

thf(fact_1_hbexI,axiom,
    ! [P: hF_Mirabelle_hf > $o,X2: hF_Mirabelle_hf,A2: hF_Mirabelle_hf] :
      ( ( P @ X2 )
     => ( ( hF_Mirabelle_hmem @ X2 @ A2 )
       => ( hF_Mirabelle_HBex @ A2 @ P ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: hF_Mirabelle_hf > $o,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ~ ( X0 @ X1 )
      | ( hF_Mirabelle_HBex @ X2 @ X0 )
      | ~ ( hF_Mirabelle_hmem @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[fact_1_hbexI]) ).

thf(zip_derived_cl815,plain,
    ! [X0: hF_Mirabelle_hf > $o] :
      ( ( hF_Mirabelle_HBex @ a @ X0 )
      | ~ ( X0 @ sk__29 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl778,zip_derived_cl2]) ).

thf(zip_derived_cl551_003,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ~ ( hF_Mirabelle_hmem @ X0 @ a )
      | ~ ( hF_Mirabelle_HBex @ a
          @ ^ [Y0: hF_Mirabelle_hf] : p ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl541]) ).

thf(zip_derived_cl967,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ~ ( ^ [Y0: hF_Mirabelle_hf] : p
          @ sk__29 )
      | ~ ( hF_Mirabelle_hmem @ X0 @ a ) ),
    inference('sup-',[status(thm)],[zip_derived_cl815,zip_derived_cl551]) ).

thf(zip_derived_cl983,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ~ p
      | ~ ( hF_Mirabelle_hmem @ X0 @ a ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl967]) ).

thf(zip_derived_cl541_004,plain,
    p,
    inference(simplify,[status(thm)],[zip_derived_cl540]) ).

thf(zip_derived_cl984,plain,
    ! [X0: hF_Mirabelle_hf] :
      ~ ( hF_Mirabelle_hmem @ X0 @ a ),
    inference(demod,[status(thm)],[zip_derived_cl983,zip_derived_cl541]) ).

thf(zip_derived_cl995,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl778,zip_derived_cl984]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.50  % Problem  : ITP075^1 : TPTP v9.2.0. Released v7.5.0.
% 0.11/0.53  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E68UN2Nnh4 true
% 0.14/0.77  % Computer : n029.cluster.edu
% 0.14/0.77  % Model    : x86_64 x86_64
% 0.14/0.77  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.77  % Memory   : 8042.1875MB
% 0.14/0.77  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.77  % CPULimit : 300
% 0.14/0.77  % WCLimit  : 300
% 0.14/0.77  % DateTime : Wed Oct  1 15:33:53 EDT 2025
% 0.14/0.79  % CPUTime  : 
% 0.14/0.79  % Running portfolio for 300 s
% 0.14/0.79  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.79  % Number of cores: 8
% 0.14/0.80  % Python version: Python 3.6.8
% 0.14/0.81  % Running in HO mode
% 0.17/1.13  % Total configuration time : 828
% 0.17/1.13  % Estimated wc time : 1656
% 0.17/1.13  % Estimated cpu time (8 cpus) : 207.0
% 1.03/1.26  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.34/1.33  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.37/1.43  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.37/1.47  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.38/1.50  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/1.51  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.38/1.52  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/1.52  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/1.75  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 4.05/2.15  % Solved by lams/40_c.s.sh.
% 4.05/2.15  % done 117 iterations in 0.810s
% 4.05/2.15  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.05/2.15  % SZS output start Refutation
% See solution above
% 4.05/2.15  
% 4.05/2.15  
% 4.05/2.15  % Terminating...
% 4.06/2.31  % Runner terminated.
% 4.06/2.34  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------