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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW198+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.ygnuHS8sPl true

% Computer : n024.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 3.42s 1.12s
% Output   : Refutation 3.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   19 (  12 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  101 (   8   ~;   3   |;   0   &;  89   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :    9 (   0   ^;   6   !;   3   ?;   9   :)

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

thf(c_Groups_Otimes__class_Otimes_type,type,
    c_Groups_Otimes__class_Otimes: $i > $i > $i > $i ).

thf(c_Nat_OSuc_type,type,
    c_Nat_OSuc: $i > $i ).

thf(c_Int_OPls_type,type,
    c_Int_OPls: $i ).

thf(v_na_____type,type,
    v_na____: $i ).

thf(c_Int_Onumber__class_Onumber__of_type,type,
    c_Int_Onumber__class_Onumber__of: $i > $i > $i ).

thf(tc_Nat_Onat_type,type,
    tc_Nat_Onat: $i ).

thf(c_Parity_Oeven__odd__class_Oeven_type,type,
    c_Parity_Oeven__odd__class_Oeven: $i > $i > $o ).

thf(c_Int_OBit0_type,type,
    c_Int_OBit0: $i > $i ).

thf(c_Groups_Ozero__class_Ozero_type,type,
    c_Groups_Ozero__class_Ozero: $i > $i ).

thf(c_Int_OBit1_type,type,
    c_Int_OBit1: $i > $i ).

thf(fact_o,axiom,
    ~ ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ v_na____ ) ).

thf(zip_derived_cl0,plain,
    ~ ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ v_na____ ),
    inference(cnf,[status(esa)],[fact_o]) ).

thf(fact_odd__Suc__mult__two__ex,axiom,
    ! [V_nb_2: $i] :
      ( ~ ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ V_nb_2 )
    <=> ? [B_m: $i] :
          ( V_nb_2
          = ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ B_m ) ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ( X0
        = ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ ( sk_ @ X0 ) ) ) )
      | ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ X0 ) ),
    inference(cnf,[status(esa)],[fact_odd__Suc__mult__two__ex]) ).

thf(fact_numeral__2__eq__2,axiom,
    ( ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) )
    = ( c_Nat_OSuc @ ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ) ).

thf(zip_derived_cl54,plain,
    ( ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) )
    = ( c_Nat_OSuc @ ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ),
    inference(cnf,[status(esa)],[fact_numeral__2__eq__2]) ).

thf(zip_derived_cl4697,plain,
    ! [X0: $i] :
      ( ( X0
        = ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) @ ( sk_ @ X0 ) ) ) )
      | ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl54]) ).

thf(conj_0,conjecture,
    ? [B_m: $i] :
      ( v_na____
      = ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ B_m ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [B_m: $i] :
        ( v_na____
        = ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ B_m ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl948,plain,
    ! [X0: $i] :
      ( v_na____
     != ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54_001,plain,
    ( ( c_Int_Onumber__class_Onumber__of @ tc_Nat_Onat @ ( c_Int_OBit0 @ ( c_Int_OBit1 @ c_Int_OPls ) ) )
    = ( c_Nat_OSuc @ ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) ),
    inference(cnf,[status(esa)],[fact_numeral__2__eq__2]) ).

thf(zip_derived_cl3861,plain,
    ! [X0: $i] :
      ( v_na____
     != ( c_Nat_OSuc @ ( c_Groups_Otimes__class_Otimes @ tc_Nat_Onat @ ( c_Nat_OSuc @ ( c_Nat_OSuc @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl948,zip_derived_cl54]) ).

thf(zip_derived_cl4718,plain,
    ! [X0: $i] :
      ( ( v_na____ != X0 )
      | ( c_Parity_Oeven__odd__class_Oeven @ tc_Nat_Onat @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4697,zip_derived_cl3861]) ).

thf(zip_derived_cl4737,plain,
    v_na____ != v_na____,
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl4718]) ).

thf(zip_derived_cl4741,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl4737]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW198+1 : TPTP v9.2.0. Released v5.2.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ygnuHS8sPl true
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 12:09:53 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
% 0.13/0.36  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.42/1.12  % Solved by fo/fo3_bce.sh.
% 3.42/1.12  % BCE start: 949
% 3.42/1.12  % BCE eliminated: 49
% 3.42/1.12  % PE start: 900
% 3.42/1.12  logic: eq
% 3.42/1.12  % PE eliminated: -89
% 3.42/1.12  % done 304 iterations in 0.358s
% 3.42/1.12  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.42/1.12  % SZS output start Refutation
% See solution above
% 3.42/1.12  
% 3.42/1.12  
% 3.42/1.12  % Terminating...
% 3.84/1.17  % Runner terminated.
% 3.84/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------