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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW383+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rrziXaJsxA true

% Computer : n011.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 05:02:43 PM UTC 2025

% Result   : Theorem 16.17s 2.92s
% Output   : Refutation 16.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   35 (  12 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  120 (   6   ~;   3   |;   0   &;  97   @)
%                                         (   0 <=>;  11  =>;   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     :   13 (   9 usr;   9 con; 0-2 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   18 (   3   ^;  15   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tc_Com_Ocom_type,type,
    tc_Com_Ocom: $i ).

thf(c_Option_Ooption_OSome_type,type,
    c_Option_Ooption_OSome: $i > $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(v_pn_type,type,
    v_pn: $i ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i ).

thf(c_Com_OWT__bodies_type,type,
    c_Com_OWT__bodies: $o ).

thf(v_y_type,type,
    v_y: $i ).

thf(c_Com_Obody_type,type,
    c_Com_Obody: $i ).

thf(c_Com_OWT_type,type,
    c_Com_OWT: $i ).

thf(conj_4,axiom,
    ( ( hAPP @ c_Com_Obody @ v_pn )
    = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ v_y ) ) ).

thf(zip_derived_cl5245,plain,
    ( ( hAPP @ c_Com_Obody @ v_pn )
    = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ v_y ) ),
    inference(cnf,[status(esa)],[conj_4]) ).

thf(fact_WT__bodiesD,axiom,
    ! [V_b: $i,V_pn: $i] :
      ( c_Com_OWT__bodies
     => ( ( ( hAPP @ c_Com_Obody @ V_pn )
          = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ V_b ) )
       => ( hBOOL @ ( hAPP @ c_Com_OWT @ V_b ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( c_Com_OWT__bodies
           => ( ( ( hAPP @ c_Com_Obody @ Y1 )
                = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ Y0 ) )
             => ( hBOOL @ ( hAPP @ c_Com_OWT @ Y0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_WT__bodiesD]) ).

thf(zip_derived_cl5281,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( c_Com_OWT__bodies
         => ( ( ( hAPP @ c_Com_Obody @ Y0 )
              = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
           => ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl5282,plain,
    ! [X2: $i,X4: $i] :
      ( c_Com_OWT__bodies
     => ( ( ( hAPP @ c_Com_Obody @ X4 )
          = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
       => ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5281]) ).

thf(conj_0,axiom,
    c_Com_OWT__bodies ).

thf(zip_derived_cl5241,plain,
    c_Com_OWT__bodies,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl5283,plain,
    ! [X2: $i,X4: $i] :
      ( $true
     => ( ( ( hAPP @ c_Com_Obody @ X4 )
          = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
       => ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5282,zip_derived_cl5241]) ).

thf(zip_derived_cl5284,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( hAPP @ c_Com_Obody @ X4 )
        = ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
     => ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl5283]) ).

thf(zip_derived_cl5285,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( hAPP @ c_Com_Obody @ X4 )
       != ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
      | ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5284]) ).

thf(zip_derived_cl5286,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( hAPP @ c_Com_Obody @ X4 )
       != ( hAPP @ ( c_Option_Ooption_OSome @ tc_Com_Ocom ) @ X2 ) )
      | ( hBOOL @ ( hAPP @ c_Com_OWT @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5285]) ).

thf(zip_derived_cl5469,plain,
    ! [X0: $i] :
      ( ( ( hAPP @ c_Com_Obody @ X0 )
       != ( hAPP @ c_Com_Obody @ v_pn ) )
      | ( hBOOL @ ( hAPP @ c_Com_OWT @ v_y ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5245,zip_derived_cl5286]) ).

thf(conj_6,conjecture,
    hBOOL @ ( hAPP @ c_Com_OWT @ v_y ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP @ c_Com_OWT @ v_y ) ),
    inference('cnf.neg',[status(esa)],[conj_6]) ).

thf(zip_derived_cl5247,plain,
    ~ ( hBOOL @ ( hAPP @ c_Com_OWT @ v_y ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5470,plain,
    ! [X0: $i] :
      ( ( hAPP @ c_Com_Obody @ X0 )
     != ( hAPP @ c_Com_Obody @ v_pn ) ),
    inference(clc,[status(thm)],[zip_derived_cl5469,zip_derived_cl5247]) ).

thf(zip_derived_cl5471,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl5470]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWW383+1 : TPTP v9.2.0. Released v5.2.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rrziXaJsxA true
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 11:58:53 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.50/0.61  % Total configuration time : 435
% 0.50/0.61  % Estimated wc time : 1092
% 0.50/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 4.70/1.27  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 16.17/2.92  % Solved by fo/fo1_lcnf.sh.
% 16.17/2.92  % done 278 iterations in 1.622s
% 16.17/2.92  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.17/2.92  % SZS output start Refutation
% See solution above
% 16.17/2.92  
% 16.17/2.92  
% 16.17/2.92  % Terminating...
% 16.95/3.07  % Runner terminated.
% 16.95/3.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------