TSTP Solution File: SWW963+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW963+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0mlk0Tnkhd true

% Computer : n007.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 : Fri Sep  1 01:43:34 EDT 2023

% Result   : Theorem 1.43s 0.81s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   46 (  12 unt;  18 typ;   0 def)
%            Number of atoms       :   60 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  181 (  24   ~;  22   |;   5   &; 125   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  18 usr;   5 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% 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_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_out_3_type,type,
    tuple_out_3: $i > $i ).

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

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

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

thf(zip_derived_cl731,plain,
    ! [X0: $i,X1: $i,X3: $i] :
      ( ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_3 @ X0 ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl95,zip_derived_cl95,zip_derived_cl95]) ).

thf(zip_derived_cl732,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl731]) ).

thf(zip_derived_cl734,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ ( tuple_client_B_in_2 @ X0 ) )
      | ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl732]) ).

thf(zip_derived_cl735,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) )
      | ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl734]) ).

thf(zip_derived_cl739,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( tuple_client_B_in_5 @ X0 ) )
      | ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl735]) ).

thf(zip_derived_cl740,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_B_out_6 @ name_objective ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl739]) ).

thf(ax186,axiom,
    pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ) ).

thf(zip_derived_cl186,plain,
    pred_attacker @ ( tuple_out_3 @ ( constr_pkey @ name_skS ) ),
    inference(cnf,[status(esa)],[ax186]) ).

thf(zip_derived_cl766,plain,
    pred_attacker @ ( tuple_client_B_out_6 @ name_objective ),
    inference('s_sup+',[status(thm)],[zip_derived_cl740,zip_derived_cl186]) ).

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_cl843,plain,
    pred_attacker @ name_objective,
    inference('s_sup-',[status(thm)],[zip_derived_cl766,zip_derived_cl133]) ).

thf(zip_derived_cl844,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl843]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW963+1 : TPTP v8.1.2. 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.0mlk0Tnkhd true
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 17:27:27 EDT 2023
% 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
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.88/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.13/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.13/0.79  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.13/0.79  % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 1.43/0.81  % Solved by fo/fo6_bce.sh.
% 1.43/0.81  % BCE start: 196
% 1.43/0.81  % BCE eliminated: 1
% 1.43/0.81  % PE start: 195
% 1.43/0.81  logic: eq
% 1.43/0.81  % PE eliminated: 3
% 1.43/0.81  % done 214 iterations in 0.082s
% 1.43/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.43/0.81  % SZS output start Refutation
% See solution above
% 1.43/0.81  
% 1.43/0.81  
% 1.43/0.81  % Terminating...
% 1.43/0.86  % Runner terminated.
% 1.43/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------