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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW190+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dqKpLEhBTM true

% Computer : n005.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 05:02:24 PM UTC 2025

% Result   : Theorem 19.58s 3.44s
% Output   : Refutation 19.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   40 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :   70 (  16 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  339 (  26   ~;  22   |;   0   &; 283   @)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :   69 (   0   ^;  66   !;   3   ?;  69   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tc_RealDef_Oreal_type,type,
    tc_RealDef_Oreal: $i ).

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

thf(sk__2_type,type,
    sk__2: $i ).

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

thf(sk__16_type,type,
    sk__16: $i > $i > $i > $i ).

thf(class_Orderings_Oord_type,type,
    class_Orderings_Oord: $i > $o ).

thf(c_Lubs_OisUb_type,type,
    c_Lubs_OisUb: $i > $i > $i > $i ).

thf(c_Orderings_Otop__class_Otop_type,type,
    c_Orderings_Otop__class_Otop: $i > $i ).

thf(class_Orderings_Otop_type,type,
    class_Orderings_Otop: $i > $o ).

thf(c_member_type,type,
    c_member: $i > $i > $i > $o ).

thf(tc_fun_type,type,
    tc_fun: $i > $i > $i ).

thf(c_Set_OCollect_type,type,
    c_Set_OCollect: $i > $i > $i ).

thf(c_Orderings_Oord__class_Oless_type,type,
    c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).

thf(tc_HOL_Obool_type,type,
    tc_HOL_Obool: $i ).

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

thf(v_P_type,type,
    v_P: $i ).

thf(c_Orderings_Oord__class_Oless__eq_type,type,
    c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).

thf(fact_isUb__UNIV__I,axiom,
    ! [V_u_2: $i,V_S_2: $i,T_a: $i] :
      ( ( class_Orderings_Oord @ T_a )
     => ( ! [B_y: $i] :
            ( ( c_member @ T_a @ B_y @ V_S_2 )
           => ( c_Orderings_Oord__class_Oless__eq @ T_a @ B_y @ V_u_2 ) )
       => ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ T_a @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_HOL_Obool ) ) @ V_S_2 ) @ V_u_2 ) ) ) ) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_member @ X0 @ ( sk__16 @ X0 @ X1 @ X2 ) @ X1 )
      | ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ X0 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) @ X2 ) )
      | ~ ( class_Orderings_Oord @ X0 ) ),
    inference(cnf,[status(esa)],[fact_isUb__UNIV__I]) ).

thf(fact_top__apply,axiom,
    ! [V_xa_2: $i,T_b: $i,T_a: $i] :
      ( ( class_Orderings_Otop @ T_a )
     => ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_b @ T_a ) ) @ V_xa_2 )
        = ( c_Orderings_Otop__class_Otop @ T_a ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) ) @ X2 )
        = ( c_Orderings_Otop__class_Otop @ X0 ) )
      | ~ ( class_Orderings_Otop @ X0 ) ),
    inference(cnf,[status(esa)],[fact_top__apply]) ).

thf(zip_derived_cl5_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) ) @ X2 )
        = ( c_Orderings_Otop__class_Otop @ X0 ) )
      | ~ ( class_Orderings_Otop @ X0 ) ),
    inference(cnf,[status(esa)],[fact_top__apply]) ).

thf(fact_ext,axiom,
    ! [V_g_2: $i,V_f_2: $i] :
      ( ! [B_x: $i] :
          ( ( hAPP @ V_f_2 @ B_x )
          = ( hAPP @ V_g_2 @ B_x ) )
     => ( V_f_2 = V_g_2 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( ( hAPP @ X1 @ ( sk_ @ X1 @ X0 ) )
       != ( hAPP @ X0 @ ( sk_ @ X1 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_ext]) ).

thf(zip_derived_cl1589,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( hAPP @ X2 @ ( sk_ @ X2 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) ) ) )
       != ( c_Orderings_Otop__class_Otop @ X0 ) )
      | ~ ( class_Orderings_Otop @ X0 )
      | ( X2
        = ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).

thf(zip_derived_cl1593,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( c_Orderings_Otop__class_Otop @ X0 )
       != ( c_Orderings_Otop__class_Otop @ X1 ) )
      | ~ ( class_Orderings_Otop @ X0 )
      | ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X3 @ X0 ) )
        = ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X2 @ X1 ) ) )
      | ~ ( class_Orderings_Otop @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1589]) ).

thf(zip_derived_cl1594,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( class_Orderings_Otop @ X0 )
      | ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) )
        = ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X2 @ X0 ) ) )
      | ~ ( class_Orderings_Otop @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1593]) ).

thf(zip_derived_cl1595,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X1 @ X0 ) )
        = ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X2 @ X0 ) ) )
      | ~ ( class_Orderings_Otop @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1594]) ).

thf(conj_0,conjecture,
    ? [B_x1: $i] : ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ ( c_Set_OCollect @ tc_RealDef_Oreal @ v_P ) ) @ B_x1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [B_x1: $i] : ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ ( c_Set_OCollect @ tc_RealDef_Oreal @ v_P ) ) @ B_x1 ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1585,plain,
    ! [X0: $i] :
      ~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ ( c_Set_OCollect @ tc_RealDef_Oreal @ v_P ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_Collect__def,axiom,
    ! [V_Pa_2: $i,T_a: $i] :
      ( ( c_Set_OCollect @ T_a @ V_Pa_2 )
      = V_Pa_2 ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Set_OCollect @ X1 @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_Collect__def]) ).

thf(zip_derived_cl1701,plain,
    ! [X0: $i] :
      ~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ v_P ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1585,zip_derived_cl8]) ).

thf(zip_derived_cl1703,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ v_P ) @ X1 ) )
      | ~ ( class_Orderings_Otop @ tc_HOL_Obool ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl1701]) ).

thf(arity_HOL__Obool__Orderings_Otop,axiom,
    class_Orderings_Otop @ tc_HOL_Obool ).

thf(zip_derived_cl1512,plain,
    class_Orderings_Otop @ tc_HOL_Obool,
    inference(cnf,[status(esa)],[arity_HOL__Obool__Orderings_Otop]) ).

thf(zip_derived_cl1706,plain,
    ! [X0: $i,X1: $i] :
      ~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ v_P ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1703,zip_derived_cl1512]) ).

thf(zip_derived_cl11168,plain,
    ! [X0: $i] :
      ( ~ ( class_Orderings_Oord @ tc_RealDef_Oreal )
      | ( c_member @ tc_RealDef_Oreal @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) @ v_P ) ),
    inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl1706]) ).

thf(arity_RealDef__Oreal__Orderings_Oord,axiom,
    class_Orderings_Oord @ tc_RealDef_Oreal ).

thf(zip_derived_cl1576,plain,
    class_Orderings_Oord @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Oord]) ).

thf(zip_derived_cl11185,plain,
    ! [X0: $i] : ( c_member @ tc_RealDef_Oreal @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) @ v_P ),
    inference(demod,[status(thm)],[zip_derived_cl11168,zip_derived_cl1576]) ).

thf(fact_mem__def,axiom,
    ! [V_A_2: $i,V_xa_2: $i,T_a: $i] :
      ( ( c_member @ T_a @ V_xa_2 @ V_A_2 )
    <=> ( hBOOL @ ( hAPP @ V_A_2 @ V_xa_2 ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
      | ~ ( c_member @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_mem__def]) ).

thf(zip_derived_cl11193,plain,
    ! [X0: $i] : ( hBOOL @ ( hAPP @ v_P @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11185,zip_derived_cl29]) ).

thf(fact_bz,axiom,
    ? [B_z: $i] :
    ! [B_x: $i] :
      ( ( hBOOL @ ( hAPP @ v_P @ B_x ) )
     => ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ B_x @ B_z ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ sk__2 )
      | ~ ( hBOOL @ ( hAPP @ v_P @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_bz]) ).

thf(zip_derived_cl11207,plain,
    ! [X0: $i] : ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl11193,zip_derived_cl3]) ).

thf(fact_less__eq__real__def,axiom,
    ! [V_y_2: $i,V_xa_2: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_xa_2 @ V_y_2 )
    <=> ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ V_xa_2 @ V_y_2 )
        | ( V_xa_2 = V_y_2 ) ) ) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
      | ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_less__eq__real__def]) ).

thf(zip_derived_cl11253,plain,
    ! [X0: $i] : ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( sk__16 @ tc_RealDef_Oreal @ v_P @ X0 ) @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl11207,zip_derived_cl170]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ ( sk__16 @ X0 @ X1 @ X2 ) @ X2 )
      | ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ X0 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) @ X2 ) )
      | ~ ( class_Orderings_Oord @ X0 ) ),
    inference(cnf,[status(esa)],[fact_isUb__UNIV__I]) ).

thf(zip_derived_cl11438,plain,
    ( ~ ( class_Orderings_Oord @ tc_RealDef_Oreal )
    | ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ v_P ) @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11253,zip_derived_cl167]) ).

thf(zip_derived_cl1576_002,plain,
    class_Orderings_Oord @ tc_RealDef_Oreal,
    inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Oord]) ).

thf(zip_derived_cl11468,plain,
    hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_RealDef_Oreal @ tc_HOL_Obool ) ) @ v_P ) @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl11438,zip_derived_cl1576]) ).

thf(zip_derived_cl1706_003,plain,
    ! [X0: $i,X1: $i] :
      ~ ( hBOOL @ ( hAPP @ ( c_Lubs_OisUb @ tc_RealDef_Oreal @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ v_P ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1703,zip_derived_cl1512]) ).

thf(zip_derived_cl11522,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl11468,zip_derived_cl1706]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW190+1 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dqKpLEhBTM true
% 0.13/0.34  % Computer : n005.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 11:57:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.61/0.66  % Total configuration time : 435
% 0.61/0.66  % Estimated wc time : 1092
% 0.61/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 19.58/3.44  % Solved by fo/fo5.sh.
% 19.58/3.44  % done 1908 iterations in 2.609s
% 19.58/3.44  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 19.58/3.44  % SZS output start Refutation
% See solution above
% 19.58/3.45  
% 19.58/3.45  
% 19.58/3.45  % Terminating...
% 19.99/3.53  % Runner terminated.
% 19.99/3.55  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------