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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP076^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SX7budRcVd true

% Computer : n016.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 0.59s 0.89s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   44 (   8 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  173 (  11   ~;  17   |;   2   &; 139   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  32   !;   2   ?;  34   :)

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

thf(sk__type,type,
    sk_: hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(hF_Mir1653039215strict_type,type,
    hF_Mir1653039215strict: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(sk__2_type,type,
    sk__2: hF_Mirabelle_hf > hF_Mirabelle_hf ).

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

thf(hF_Mir199975595nction_type,type,
    hF_Mir199975595nction: hF_Mirabelle_hf > $o ).

thf(x_type,type,
    x: hF_Mirabelle_hf ).

thf(r_type,type,
    r: hF_Mirabelle_hf ).

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

thf(hF_Mirabelle_hpair_type,type,
    hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).

thf(conj_1,conjecture,
    hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl10,plain,
    ~ ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_1_hfunction__def,axiom,
    ! [R2: hF_Mirabelle_hf] :
      ( ( hF_Mir199975595nction @ R2 )
    <=> ! [X2: hF_Mirabelle_hf,Y: hF_Mirabelle_hf] :
          ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ Y ) @ R2 )
         => ! [Y2: hF_Mirabelle_hf] :
              ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ Y2 ) @ R2 )
             => ( Y = Y2 ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mir199975595nction @ X0 )
      | ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ ( sk_ @ X0 ) @ ( sk__1 @ X0 ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[fact_1_hfunction__def]) ).

thf(fact_2_hrestrict__iff,axiom,
    ! [Z: hF_Mirabelle_hf,R: hF_Mirabelle_hf,A: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ Z @ ( hF_Mir1653039215strict @ R @ A ) )
    <=> ( ? [X2: hF_Mirabelle_hf,Y: hF_Mirabelle_hf] :
            ( ( hF_Mirabelle_hmem @ X2 @ A )
            & ( Z
              = ( hF_Mirabelle_hpair @ X2 @ Y ) ) )
        & ( hF_Mirabelle_hmem @ Z @ R ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ X0 @ X1 )
      | ~ ( hF_Mirabelle_hmem @ X0 @ ( hF_Mir1653039215strict @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_2_hrestrict__iff]) ).

thf(zip_derived_cl12,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
      | ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ ( sk_ @ ( hF_Mir1653039215strict @ X1 @ X0 ) ) @ ( sk__1 @ ( hF_Mir1653039215strict @ X1 @ X0 ) ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl2,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mir199975595nction @ X0 )
      | ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[fact_1_hfunction__def]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ( hF_Mirabelle_hmem @ X0 @ X1 )
      | ~ ( hF_Mirabelle_hmem @ X0 @ ( hF_Mir1653039215strict @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_2_hrestrict__iff]) ).

thf(zip_derived_cl11,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
      | ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ ( sk_ @ ( hF_Mir1653039215strict @ X1 @ X0 ) ) @ ( sk__2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).

thf(conj_0,axiom,
    hF_Mir199975595nction @ r ).

thf(zip_derived_cl9,plain,
    hF_Mir199975595nction @ r,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
      ( ~ ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X1 ) @ X2 )
      | ( X1 = X3 )
      | ~ ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X3 ) @ X2 )
      | ~ ( hF_Mir199975595nction @ X2 ) ),
    inference(cnf,[status(esa)],[fact_1_hfunction__def]) ).

thf(zip_derived_cl19,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
      ( ~ ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X1 @ X0 ) @ r )
      | ( X2 = X0 )
      | ~ ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X1 @ X2 ) @ r ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).

thf(zip_derived_cl146,plain,
    ! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
      ( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ X0 ) )
      | ( ( sk__2 @ ( hF_Mir1653039215strict @ r @ X0 ) )
        = X1 )
      | ~ ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ ( sk_ @ ( hF_Mir1653039215strict @ r @ X0 ) ) @ X1 ) @ r ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl19]) ).

thf(zip_derived_cl205,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ X0 ) )
      | ( ( sk__2 @ ( hF_Mir1653039215strict @ r @ X0 ) )
        = ( sk__1 @ ( hF_Mir1653039215strict @ r @ X0 ) ) )
      | ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl146]) ).

thf(zip_derived_cl209,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( ( sk__2 @ ( hF_Mir1653039215strict @ r @ X0 ) )
        = ( sk__1 @ ( hF_Mir1653039215strict @ r @ X0 ) ) )
      | ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl205]) ).

thf(zip_derived_cl3,plain,
    ! [X0: hF_Mirabelle_hf] :
      ( ( hF_Mir199975595nction @ X0 )
      | ( ( sk__1 @ X0 )
       != ( sk__2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_1_hfunction__def]) ).

thf(zip_derived_cl232,plain,
    ! [X0: hF_Mirabelle_hf] : ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl209,zip_derived_cl3]) ).

thf(zip_derived_cl233,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl232]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ITP076^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SX7budRcVd true
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 15:35:08 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.55/0.67  % Total configuration time : 828
% 0.55/0.67  % Estimated wc time : 1656
% 0.55/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.84  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.89  % Solved by lams/40_c_ic.sh.
% 0.59/0.89  % done 42 iterations in 0.097s
% 0.59/0.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.89  % SZS output start Refutation
% See solution above
% 0.59/0.89  
% 0.59/0.89  
% 0.59/0.89  % Terminating...
% 2.00/0.99  % Runner terminated.
% 2.00/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------