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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW963+1 : TPTP v9.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hYok9ARDLi true

% Computer : n006.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 05:03:30 PM UTC 2025

% Result   : Theorem 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   39 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   89 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  339 (  56   ~;  30   |;   5   &; 233   @)
%                                         (   0 <=>;   5  =>;  10  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  18 usr;   6 con; 0-2 aty)
%            Number of variables   :   54 (   0   ^;  54   !;   0   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(name_skB_type,type,
    name_skB: $i ).

thf(name_A_type,type,
    name_A: $i ).

thf(constr_ecb_dec_1_type,type,
    constr_ecb_dec_1: $i > $i > $i ).

thf(constr_checksign_type,type,
    constr_checksign: $i > $i > $i ).

thf(tuple_client_B_out_6_type,type,
    tuple_client_B_out_6: $i > $i ).

thf(name_objective_type,type,
    name_objective: $i ).

thf(pred_attacker_type,type,
    pred_attacker: $i > $o ).

thf(constr_tuple_2_get_1_type,type,
    constr_tuple_2_get_1: $i > $i ).

thf(constr_CONST_0x30_type,type,
    constr_CONST_0x30: $i ).

thf(constr_pkey_type,type,
    constr_pkey: $i > $i ).

thf(name_Nb_type,type,
    name_Nb: $i > $i ).

thf(pred_eq_bitstring_bitstring_type,type,
    pred_eq_bitstring_bitstring: $i > $i > $o ).

thf(constr_ecb_dec_2_type,type,
    constr_ecb_dec_2: $i > $i > $i ).

thf(tuple_client_B_in_2_type,type,
    tuple_client_B_in_2: $i > $i ).

thf(constr_tuple_2_get_0x30_type,type,
    constr_tuple_2_get_0x30: $i > $i ).

thf(tuple_client_B_in_5_type,type,
    tuple_client_B_in_5: $i > $i ).

thf(name_skS_type,type,
    name_skS: $i ).

thf(tuple_client_B_in_3_type,type,
    tuple_client_B_in_3: $i > $i ).

thf(ax143,axiom,
    ! [VAR_V_243: $i] :
      ( ( pred_attacker @ VAR_V_243 )
     => ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_V_243 ) ) ) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_2 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax143]) ).

thf(ax95,axiom,
    ! [VAR_X_65: $i,VAR_Y_66: $i] : ( pred_eq_bitstring_bitstring @ VAR_X_65 @ VAR_Y_66 ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i] : ( pred_eq_bitstring_bitstring @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(ax192,axiom,
    ! [VAR_0X40SID_717: $i,VAR_ECB_ENC_NA_A_719: $i,VAR_ECB_ENC_NB_718: $i,VAR_SIGN_A_PKA_720X30: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ ( name_Nb @ VAR_0X40SID_717 ) @ ( constr_ecb_dec_1 @ VAR_ECB_ENC_NB_718 @ name_skB ) )
        & ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_ECB_ENC_NB_718 ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ VAR_ECB_ENC_NA_A_719 @ name_skB ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_ECB_ENC_NA_A_719 ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ VAR_SIGN_A_PKA_720X30 @ ( constr_pkey @ name_skS ) ) ) )
        & ( pred_attacker @ ( tuple_client_B_in_2 @ VAR_SIGN_A_PKA_720X30 ) ) )
     => ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
      | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ X0 @ name_skB ) ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) )
      | ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ X2 ) @ ( constr_ecb_dec_1 @ X1 @ name_skB ) )
      | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ X3 @ ( constr_pkey @ name_skS ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ax192]) ).

thf(zip_derived_cl196,plain,
    ( ! [X3: $i] :
        ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ X3 @ ( constr_pkey @ name_skS ) ) ) )
        | ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X3 ) ) )
   <= ! [X3: $i] :
        ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ X3 @ ( constr_pkey @ name_skS ) ) ) )
        | ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X3 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl201,plain,
    ( ! [X0: $i] :
        ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X0 ) )
   <= ! [X3: $i] :
        ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ X3 @ ( constr_pkey @ name_skS ) ) ) )
        | ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X3 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl196]) ).

thf(zip_derived_cl199,plain,
    ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
   <= ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(ax133,axiom,
    ! [VAR_V_20X306: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_6 @ VAR_V_20X306 ) )
     => ( pred_attacker @ VAR_V_20X306 ) ) ).

thf(zip_derived_cl133,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_client_B_out_6 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax133]) ).

thf(zip_derived_cl206,plain,
    ( ( pred_attacker @ name_objective )
   <= ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl133]) ).

thf(co0,conjecture,
    pred_attacker @ name_objective ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( pred_attacker @ name_objective ),
    inference('cnf.neg',[status(esa)],[co0]) ).

thf(zip_derived_cl195,plain,
    ~ ( pred_attacker @ name_objective ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ~ ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl195]) ).

thf(ax139,axiom,
    ! [VAR_V_231: $i] :
      ( ( pred_attacker @ VAR_V_231 )
     => ( pred_attacker @ ( tuple_client_B_in_5 @ VAR_V_231 ) ) ) ).

thf(zip_derived_cl139,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_5 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax139]) ).

thf(zip_derived_cl95_001,plain,
    ! [X0: $i,X1: $i] : ( pred_eq_bitstring_bitstring @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(zip_derived_cl197,plain,
    ( ! [X1: $i,X2: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) )
        | ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ X2 ) @ ( constr_ecb_dec_1 @ X1 @ name_skB ) ) )
   <= ! [X1: $i,X2: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) )
        | ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ X2 ) @ ( constr_ecb_dec_1 @ X1 @ name_skB ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl202,plain,
    ( ! [X0: $i] :
        ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X0 ) )
   <= ! [X1: $i,X2: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) )
        | ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ X2 ) @ ( constr_ecb_dec_1 @ X1 @ name_skB ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl197]) ).

thf(zip_derived_cl229,plain,
    ( ! [X0: $i] :
        ~ ( pred_attacker @ X0 )
   <= ! [X1: $i,X2: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) )
        | ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ X2 ) @ ( constr_ecb_dec_1 @ X1 @ name_skB ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl202]) ).

thf(ax161,axiom,
    pred_attacker @ constr_CONST_0x30 ).

thf(zip_derived_cl161,plain,
    pred_attacker @ constr_CONST_0x30,
    inference(cnf,[status(esa)],[ax161]) ).

thf('1',plain,
    ~ ! [X1: $i,X2: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) )
        | ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ X2 ) @ ( constr_ecb_dec_1 @ X1 @ name_skB ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl229,zip_derived_cl161]) ).

thf(ax141,axiom,
    ! [VAR_V_237: $i] :
      ( ( pred_attacker @ VAR_V_237 )
     => ( pred_attacker @ ( tuple_client_B_in_3 @ VAR_V_237 ) ) ) ).

thf(zip_derived_cl141,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax141]) ).

thf(zip_derived_cl95_002,plain,
    ! [X0: $i,X1: $i] : ( pred_eq_bitstring_bitstring @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(zip_derived_cl198,plain,
    ( ! [X0: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
        | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ X0 @ name_skB ) ) ) )
   <= ! [X0: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
        | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ X0 @ name_skB ) ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl200,plain,
    ( ! [X0: $i] :
        ~ ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
   <= ! [X0: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
        | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ X0 @ name_skB ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl198]) ).

thf(zip_derived_cl305,plain,
    ( ! [X0: $i] :
        ~ ( pred_attacker @ X0 )
   <= ! [X0: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
        | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ X0 @ name_skB ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl200]) ).

thf(zip_derived_cl161_003,plain,
    pred_attacker @ constr_CONST_0x30,
    inference(cnf,[status(esa)],[ax161]) ).

thf('2',plain,
    ~ ! [X0: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
        | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ X0 @ name_skB ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl305,zip_derived_cl161]) ).

thf('3',plain,
    ( ! [X3: $i] :
        ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ X3 @ ( constr_pkey @ name_skS ) ) ) )
        | ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X3 ) ) )
    | ! [X0: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
        | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_ecb_dec_2 @ X0 @ name_skB ) ) ) )
    | ! [X1: $i,X2: $i] :
        ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) )
        | ~ ( pred_eq_bitstring_bitstring @ ( name_Nb @ X2 ) @ ( constr_ecb_dec_1 @ X1 @ name_skB ) ) )
    | ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf('4',plain,
    ! [X3: $i] :
      ( ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_0x30 @ ( constr_checksign @ X3 @ ( constr_pkey @ name_skS ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X3 ) ) ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).

thf(zip_derived_cl382,plain,
    ! [X0: $i] :
      ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X0 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl201,'4']) ).

thf(zip_derived_cl383,plain,
    ! [X0: $i] :
      ~ ( pred_attacker @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl143,zip_derived_cl382]) ).

thf(zip_derived_cl161_004,plain,
    pred_attacker @ constr_CONST_0x30,
    inference(cnf,[status(esa)],[ax161]) ).

thf(zip_derived_cl384,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl383,zip_derived_cl161]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW963+1 : TPTP v9.2.0. Released v7.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hYok9ARDLi true
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 11:57:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.59/0.65  % Total configuration time : 435
% 0.59/0.65  % Estimated wc time : 1092
% 0.59/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.61/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.61/0.80  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 0.61/0.81  % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 0.61/0.83  % Solved by fo/fo1_av.sh.
% 0.61/0.83  % done 165 iterations in 0.060s
% 0.61/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.83  % SZS output start Refutation
% See solution above
% 0.61/0.83  
% 0.61/0.83  
% 0.61/0.83  % Terminating...
% 1.83/0.86  % Runner terminated.
% 1.83/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------