TSTP Solution File: SWW968+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW968+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.cFNFiOo9TN 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 : Fri Sep  1 01:43:35 EDT 2023

% Result   : Theorem 1.74s 0.92s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   57
% Syntax   : Number of formulae    :  126 (  29 unt;  35 typ;   0 def)
%            Number of atoms       :  220 (   8 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  843 ( 107   ~;  97   |;  18   &; 607   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   47 (  47   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   37 (  35 usr;   8 con; 0-5 aty)
%            Number of variables   :  178 (   0   ^; 178   !;   0   ?; 178   :)

% Comments : 
%------------------------------------------------------------------------------
thf(name_B_type,type,
    name_B: $i ).

thf(constr_cbc_dec_1_type,type,
    constr_cbc_dec_1: $i > $i > $i ).

thf(name_objective1_type,type,
    name_objective1: $i ).

thf(name_Na_type,type,
    name_Na: $i > $i ).

thf(tuple_client_A_in_8_type,type,
    tuple_client_A_in_8: $i > $i ).

thf(name_Kab_66_type,type,
    name_Kab_66: $i > $i ).

thf(tuple_server_S_in_1_type,type,
    tuple_server_S_in_1: $i > $i > $i > $i ).

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

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

thf(constr_dec_type,type,
    constr_dec: $i > $i > $i ).

thf(constr_cbc_enc_4_type,type,
    constr_cbc_enc_4: $i > $i > $i > $i > $i > $i ).

thf(tuple_client_A_out_9_type,type,
    tuple_client_A_out_9: $i > $i ).

thf(name_Kbs_type,type,
    name_Kbs: $i ).

thf(constr_enc_type,type,
    constr_enc: $i > $i > $i ).

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

thf(tuple_client_A_in_4_type,type,
    tuple_client_A_in_4: $i > $i ).

thf(tuple_client_A_in_6_type,type,
    tuple_client_A_in_6: $i > $i ).

thf(tuple_2_type,type,
    tuple_2: $i > $i > $i ).

thf(constr_cbc_4_get_2_prefixes_type,type,
    constr_cbc_4_get_2_prefixes: $i > $i ).

thf(constr_cbc_dec_2_type,type,
    constr_cbc_dec_2: $i > $i > $i ).

thf(tuple_client_A_out_1_type,type,
    tuple_client_A_out_1: $i > $i > $i > $i ).

thf(constr_cbc_enc_2_type,type,
    constr_cbc_enc_2: $i > $i > $i > $i ).

thf(constr_tuple_2_get_0x30_bitstring_type,type,
    constr_tuple_2_get_0x30_bitstring: $i > $i ).

thf(tuple_server_S_out_2_type,type,
    tuple_server_S_out_2: $i > $i ).

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

thf(tuple_client_A_in_2_type,type,
    tuple_client_A_in_2: $i > $i ).

thf(constr_tuple_4_get_1_type,type,
    constr_tuple_4_get_1: $i > $i ).

thf(name_Na0x27_type,type,
    name_Na0x27: $i > $i > $i > $i ).

thf(tuple_client_A_out_10_type,type,
    tuple_client_A_out_10: $i > $i ).

thf(constr_tuple_4_get_0x30_type,type,
    constr_tuple_4_get_0x30: $i > $i ).

thf(name_objective2_type,type,
    name_objective2: $i ).

thf(name_Kas_type,type,
    name_Kas: $i ).

thf(constr_cbc_dec_4_type,type,
    constr_cbc_dec_4: $i > $i > $i ).

thf(tuple_succ_type,type,
    tuple_succ: $i > $i ).

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

thf(ax107,axiom,
    ! [VAR_V_114: $i,VAR_V_115: $i,VAR_V_116: $i] :
      ( ( ( pred_attacker @ VAR_V_114 )
        & ( pred_attacker @ VAR_V_115 )
        & ( pred_attacker @ VAR_V_116 ) )
     => ( pred_attacker @ ( tuple_server_S_in_1 @ VAR_V_114 @ VAR_V_115 @ VAR_V_116 ) ) ) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ~ ( pred_attacker @ X2 )
      | ( pred_attacker @ ( tuple_server_S_in_1 @ X1 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[ax107]) ).

thf(ax188,axiom,
    ! [VAR_0X40SID_758: $i,VAR_A_755: $i,VAR_B_756: $i,VAR_NA_757: $i] :
      ( ( pred_attacker @ ( tuple_server_S_in_1 @ VAR_A_755 @ VAR_B_756 @ VAR_NA_757 ) )
     => ( pred_attacker @ ( tuple_server_S_out_2 @ ( constr_cbc_enc_4 @ VAR_NA_757 @ VAR_B_756 @ ( name_Kab_66 @ VAR_0X40SID_758 ) @ ( constr_cbc_enc_2 @ ( name_Kab_66 @ VAR_0X40SID_758 ) @ VAR_A_755 @ name_Kbs ) @ name_Kas ) ) ) ) ).

thf(zip_derived_cl188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( pred_attacker @ ( tuple_server_S_out_2 @ ( constr_cbc_enc_4 @ X0 @ X1 @ ( name_Kab_66 @ X2 ) @ ( constr_cbc_enc_2 @ ( name_Kab_66 @ X2 ) @ X3 @ name_Kbs ) @ name_Kas ) ) )
      | ~ ( pred_attacker @ ( tuple_server_S_in_1 @ X3 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax188]) ).

thf(ax106,axiom,
    ! [VAR_V_10X309: $i] :
      ( ( pred_attacker @ ( tuple_server_S_out_2 @ VAR_V_10X309 ) )
     => ( pred_attacker @ VAR_V_10X309 ) ) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_server_S_out_2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax106]) ).

thf(zip_derived_cl710,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( pred_attacker @ ( tuple_server_S_in_1 @ X0 @ X2 @ X3 ) )
      | ( pred_attacker @ ( constr_cbc_enc_4 @ X3 @ X2 @ ( name_Kab_66 @ X1 ) @ ( constr_cbc_enc_2 @ ( name_Kab_66 @ X1 ) @ X0 @ name_Kbs ) @ name_Kas ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl106]) ).

thf(ax83,axiom,
    ! [VAR_K_43: $i,VAR_X0X30_39: $i,VAR_X1_40X30: $i,VAR_X2_41: $i,VAR_X3_42: $i] :
      ( ( constr_cbc_4_get_2_prefixes @ ( constr_cbc_enc_4 @ VAR_X0X30_39 @ VAR_X1_40X30 @ VAR_X2_41 @ VAR_X3_42 @ VAR_K_43 ) )
      = ( constr_cbc_enc_2 @ VAR_X0X30_39 @ VAR_X1_40X30 @ VAR_K_43 ) ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( constr_cbc_4_get_2_prefixes @ ( constr_cbc_enc_4 @ X0 @ X1 @ X3 @ X4 @ X2 ) )
      = ( constr_cbc_enc_2 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ax83]) ).

thf(ax151,axiom,
    ! [VAR_V_299: $i] :
      ( ( pred_attacker @ VAR_V_299 )
     => ( pred_attacker @ ( constr_cbc_4_get_2_prefixes @ VAR_V_299 ) ) ) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( constr_cbc_4_get_2_prefixes @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax151]) ).

thf(zip_derived_cl659,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( pred_attacker @ ( constr_cbc_enc_2 @ X2 @ X1 @ X0 ) )
      | ~ ( pred_attacker @ ( constr_cbc_enc_4 @ X2 @ X1 @ X4 @ X3 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl151]) ).

thf(zip_derived_cl887,plain,
    ! [X0: $i,X2: $i,X3: $i] :
      ( ~ ( pred_attacker @ ( tuple_server_S_in_1 @ X0 @ X2 @ X3 ) )
      | ( pred_attacker @ ( constr_cbc_enc_2 @ X3 @ X2 @ name_Kas ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl659]) ).

thf(zip_derived_cl892,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X2 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( constr_cbc_enc_2 @ X0 @ X1 @ name_Kas ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl887]) ).

thf(zip_derived_cl909,plain,
    ! [X0: $i,X1: $i] :
      ( ( pred_attacker @ ( constr_cbc_enc_2 @ X1 @ X0 @ name_Kas ) )
      | ~ ( pred_attacker @ X1 )
      | ~ ( pred_attacker @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl892]) ).

thf(ax80,axiom,
    ! [VAR_K_53: $i,VAR_X0X30_51: $i,VAR_X1_52: $i] :
      ( ( constr_cbc_dec_2 @ ( constr_cbc_enc_2 @ VAR_X0X30_51 @ VAR_X1_52 @ VAR_K_53 ) @ VAR_K_53 )
      = ( tuple_2 @ VAR_X0X30_51 @ VAR_X1_52 ) ) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( constr_cbc_dec_2 @ ( constr_cbc_enc_2 @ X0 @ X1 @ X2 ) @ X2 )
      = ( tuple_2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax80]) ).

thf(ax138,axiom,
    ! [VAR_V_241: $i] :
      ( ( pred_attacker @ VAR_V_241 )
     => ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_V_241 ) ) ) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_4 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax138]) ).

thf(ax136,axiom,
    ! [VAR_V_235: $i] :
      ( ( pred_attacker @ VAR_V_235 )
     => ( pred_attacker @ ( tuple_client_A_in_6 @ VAR_V_235 ) ) ) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_6 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax136]) ).

thf(ax134,axiom,
    ! [VAR_V_229: $i] :
      ( ( pred_attacker @ VAR_V_229 )
     => ( pred_attacker @ ( tuple_client_A_in_8 @ VAR_V_229 ) ) ) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_8 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax134]) ).

thf(ax140,axiom,
    ! [VAR_V_247: $i] :
      ( ( pred_attacker @ VAR_V_247 )
     => ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_V_247 ) ) ) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_2 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax140]) ).

thf(ax186,axiom,
    ! [VAR_0X40SID_622: $i,VAR_ENC_KAB_A0X27_624: $i,VAR_ENC_NA_B_ENC_KAB_A_621: $i,VAR_ENC_NB_620X30: $i,VAR_ENC_SUCC_NA0X27_623: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ ( tuple_succ @ ( name_Na0x27 @ VAR_ENC_NB_620X30 @ VAR_ENC_NA_B_ENC_KAB_A_621 @ VAR_0X40SID_622 ) ) @ ( constr_cbc_dec_1 @ VAR_ENC_SUCC_NA0X27_623 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ VAR_ENC_KAB_A0X27_624 @ name_Kas ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_8 @ VAR_ENC_SUCC_NA0X27_623 ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ VAR_ENC_KAB_A0X27_624 @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_6 @ VAR_ENC_KAB_A0X27_624 ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_ENC_NB_620X30 ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ VAR_ENC_NA_B_ENC_KAB_A_621 @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ VAR_0X40SID_622 ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ VAR_ENC_NA_B_ENC_KAB_A_621 @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_ENC_NA_B_ENC_KAB_A_621 ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ VAR_ENC_KAB_A0X27_624 @ name_Kas ) ) ) ) ) ) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_2 @ X1 ) )
      | ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ X2 ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ X1 @ name_Kas ) ) )
      | ~ ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ X1 @ name_Kas ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X3 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X0 ) )
      | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) )
      | ~ ( pred_eq_bitstring_bitstring @ ( tuple_succ @ ( name_Na0x27 @ X3 @ X1 @ X2 ) ) @ ( constr_cbc_dec_1 @ X4 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_8 @ X4 ) ) ),
    inference(cnf,[status(esa)],[ax186]) ).

thf(ax95,axiom,
    ! [VAR_X_81: $i,VAR_Y_82: $i] : ( pred_eq_bitstring_bitstring @ VAR_X_81 @ VAR_Y_82 ) ).

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_cl95_003,plain,
    ! [X0: $i,X1: $i] : ( pred_eq_bitstring_bitstring @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(zip_derived_cl735,plain,
    ! [X0: $i,X1: $i,X3: $i,X4: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_2 @ X1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X3 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X0 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_8 @ X4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl95,zip_derived_cl95,zip_derived_cl95,zip_derived_cl95]) ).

thf(zip_derived_cl736,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X1 @ name_Kas ) ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X2 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_8 @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl735]) ).

thf(zip_derived_cl883,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( pred_attacker @ ( tuple_client_A_in_8 @ X0 ) )
      | ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X1 @ name_Kas ) ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X2 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X1 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl736]) ).

thf(zip_derived_cl884,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X1 @ name_Kas ) ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X2 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl883]) ).

thf(zip_derived_cl919,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X0 ) )
      | ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X1 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl884]) ).

thf(zip_derived_cl920,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl919]) ).

thf(zip_derived_cl922,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X1 @ name_Kas ) ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl920]) ).

thf(zip_derived_cl925,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_10 @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) ) ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl922]) ).

thf(ax129,axiom,
    ! [VAR_V_196: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_10 @ VAR_V_196 ) )
     => ( pred_attacker @ VAR_V_196 ) ) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_client_A_out_10 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax129]) ).

thf(zip_derived_cl926,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( constr_enc @ name_objective2 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl925,zip_derived_cl129]) ).

thf(ax88,axiom,
    ! [VAR_K_0X30: $i,VAR_M_0X30: $i] :
      ( ( constr_dec @ ( constr_enc @ VAR_M_0X30 @ VAR_K_0X30 ) @ VAR_K_0X30 )
      = VAR_M_0X30 ) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_dec @ ( constr_enc @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[ax88]) ).

thf(ax113,axiom,
    ! [VAR_V_148: $i,VAR_V_149: $i] :
      ( ( ( pred_attacker @ VAR_V_148 )
        & ( pred_attacker @ VAR_V_149 ) )
     => ( pred_attacker @ ( constr_dec @ VAR_V_148 @ VAR_V_149 ) ) ) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( constr_dec @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax113]) ).

thf(zip_derived_cl674,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ ( constr_enc @ X0 @ X1 ) )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl113]) ).

thf(zip_derived_cl932,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) )
      | ( pred_attacker @ name_objective2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl926,zip_derived_cl674]) ).

thf(ax170,axiom,
    ! [VAR_V_392: $i,VAR_V_393: $i] :
      ( ( ( pred_attacker @ VAR_V_392 )
        & ( pred_attacker @ VAR_V_393 ) )
     => ( pred_attacker @ ( tuple_2 @ VAR_V_392 @ VAR_V_393 ) ) ) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( tuple_2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax170]) ).

thf(co0,conjecture,
    pred_attacker @ ( tuple_2 @ name_objective1 @ name_objective2 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( pred_attacker @ ( tuple_2 @ name_objective1 @ name_objective2 ) ),
    inference('cnf.neg',[status(esa)],[co0]) ).

thf(zip_derived_cl189,plain,
    ~ ( pred_attacker @ ( tuple_2 @ name_objective1 @ name_objective2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl681,plain,
    ( ~ ( pred_attacker @ name_objective2 )
    | ~ ( pred_attacker @ name_objective1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl189]) ).

thf(zip_derived_cl138_004,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_4 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax138]) ).

thf(zip_derived_cl136_005,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_6 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax136]) ).

thf(zip_derived_cl134_006,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_8 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax134]) ).

thf(zip_derived_cl140_007,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_client_A_in_2 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax140]) ).

thf(ax185,axiom,
    ! [VAR_0X40SID_60X304: $i,VAR_ENC_KAB_A0X27_60X306: $i,VAR_ENC_NA_B_ENC_KAB_A_60X303: $i,VAR_ENC_NB_60X302: $i,VAR_ENC_SUCC_NA0X27_60X305: $i] :
      ( ( ( pred_eq_bitstring_bitstring @ ( tuple_succ @ ( name_Na0x27 @ VAR_ENC_NB_60X302 @ VAR_ENC_NA_B_ENC_KAB_A_60X303 @ VAR_0X40SID_60X304 ) ) @ ( constr_cbc_dec_1 @ VAR_ENC_SUCC_NA0X27_60X305 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ VAR_ENC_KAB_A0X27_60X306 @ name_Kas ) ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_8 @ VAR_ENC_SUCC_NA0X27_60X305 ) )
        & ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ VAR_ENC_KAB_A0X27_60X306 @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_6 @ VAR_ENC_KAB_A0X27_60X306 ) )
        & ( pred_attacker @ ( tuple_client_A_in_4 @ VAR_ENC_NB_60X302 ) )
        & ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ VAR_ENC_NA_B_ENC_KAB_A_60X303 @ name_Kas ) ) )
        & ( pred_eq_bitstring_bitstring @ ( name_Na @ VAR_0X40SID_60X304 ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ VAR_ENC_NA_B_ENC_KAB_A_60X303 @ name_Kas ) ) )
        & ( pred_attacker @ ( tuple_client_A_in_2 @ VAR_ENC_NA_B_ENC_KAB_A_60X303 ) ) )
     => ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) ) ) ).

thf(zip_derived_cl185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_2 @ X0 ) )
      | ~ ( pred_eq_bitstring_bitstring @ ( name_Na @ X1 ) @ ( constr_tuple_4_get_0x30 @ ( constr_cbc_dec_4 @ X0 @ name_Kas ) ) )
      | ~ ( pred_eq_bitstring_bitstring @ name_B @ ( constr_tuple_4_get_1 @ ( constr_cbc_dec_4 @ X0 @ name_Kas ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X2 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X3 ) )
      | ~ ( pred_eq_bitstring_bitstring @ name_A @ ( constr_tuple_2_get_1 @ ( constr_cbc_dec_2 @ X3 @ name_Kas ) ) )
      | ~ ( pred_eq_bitstring_bitstring @ ( tuple_succ @ ( name_Na0x27 @ X2 @ X0 @ X1 ) ) @ ( constr_cbc_dec_1 @ X4 @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X3 @ name_Kas ) ) ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_8 @ X4 ) ) ),
    inference(cnf,[status(esa)],[ax185]) ).

thf(zip_derived_cl95_008,plain,
    ! [X0: $i,X1: $i] : ( pred_eq_bitstring_bitstring @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(zip_derived_cl95_009,plain,
    ! [X0: $i,X1: $i] : ( pred_eq_bitstring_bitstring @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(zip_derived_cl95_010,plain,
    ! [X0: $i,X1: $i] : ( pred_eq_bitstring_bitstring @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(zip_derived_cl95_011,plain,
    ! [X0: $i,X1: $i] : ( pred_eq_bitstring_bitstring @ X0 @ X1 ),
    inference(cnf,[status(esa)],[ax95]) ).

thf(zip_derived_cl729,plain,
    ! [X0: $i,X2: $i,X3: $i,X4: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_2 @ X0 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X2 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X3 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_8 @ X4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl95,zip_derived_cl95,zip_derived_cl95,zip_derived_cl95]) ).

thf(zip_derived_cl730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X2 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_8 @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl729]) ).

thf(zip_derived_cl748,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( pred_attacker @ ( tuple_client_A_in_8 @ X0 ) )
      | ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X2 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl730]) ).

thf(zip_derived_cl749,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl748]) ).

thf(zip_derived_cl752,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ ( tuple_client_A_in_6 @ X0 ) )
      | ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X1 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl749]) ).

thf(zip_derived_cl753,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) )
      | ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl752]) ).

thf(zip_derived_cl754,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( tuple_client_A_in_4 @ X0 ) )
      | ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl753]) ).

thf(zip_derived_cl755,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl754]) ).

thf(ax181,axiom,
    ! [VAR_0X40SID_426: $i] : ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_B @ ( name_Na @ VAR_0X40SID_426 ) ) ) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i] : ( pred_attacker @ ( tuple_client_A_out_1 @ name_A @ name_B @ ( name_Na @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax181]) ).

thf(zip_derived_cl801,plain,
    pred_attacker @ ( tuple_client_A_out_9 @ name_objective1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl755,zip_derived_cl181]) ).

thf(ax121,axiom,
    ! [VAR_V_172: $i] :
      ( ( pred_attacker @ ( tuple_client_A_out_9 @ VAR_V_172 ) )
     => ( pred_attacker @ VAR_V_172 ) ) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_client_A_out_9 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax121]) ).

thf(zip_derived_cl864,plain,
    pred_attacker @ name_objective1,
    inference('s_sup-',[status(thm)],[zip_derived_cl801,zip_derived_cl121]) ).

thf(zip_derived_cl867,plain,
    ~ ( pred_attacker @ name_objective2 ),
    inference(demod,[status(thm)],[zip_derived_cl681,zip_derived_cl864]) ).

thf(zip_derived_cl935,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ ( constr_cbc_dec_2 @ X0 @ name_Kas ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl932,zip_derived_cl867]) ).

thf(zip_derived_cl937,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ ( constr_cbc_enc_2 @ X1 @ X0 @ name_Kas ) )
      | ~ ( pred_attacker @ ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl935]) ).

thf(ax91,axiom,
    ! [VAR_X0X30_13: $i,VAR_X1_14: $i] :
      ( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ VAR_X0X30_13 @ VAR_X1_14 ) )
      = VAR_X0X30_13 ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_tuple_2_get_0x30_bitstring @ ( tuple_2 @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[ax91]) ).

thf(zip_derived_cl938,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ ( constr_cbc_enc_2 @ X1 @ X0 @ name_Kas ) )
      | ~ ( pred_attacker @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl937,zip_derived_cl91]) ).

thf(zip_derived_cl944,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ~ ( pred_attacker @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl909,zip_derived_cl938]) ).

thf(zip_derived_cl946,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X1 )
      | ~ ( pred_attacker @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl944]) ).

thf(zip_derived_cl947,plain,
    ! [X0: $i] :
      ~ ( pred_attacker @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl946]) ).

thf(ax160,axiom,
    pred_attacker @ constr_CONST_0x30 ).

thf(zip_derived_cl160,plain,
    pred_attacker @ constr_CONST_0x30,
    inference(cnf,[status(esa)],[ax160]) ).

thf(zip_derived_cl948,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl160]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW968+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cFNFiOo9TN true
% 0.20/0.36  % Computer : n006.cluster.edu
% 0.20/0.36  % Model    : x86_64 x86_64
% 0.20/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.36  % Memory   : 8042.1875MB
% 0.20/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.36  % CPULimit : 300
% 0.20/0.36  % WCLimit  : 300
% 0.20/0.36  % DateTime : Sun Aug 27 22:56:06 EDT 2023
% 0.20/0.36  % CPUTime  : 
% 0.20/0.36  % Running portfolio for 300 s
% 0.20/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36  % Number of cores: 8
% 0.20/0.37  % Python version: Python 3.6.8
% 0.20/0.37  % Running in FO mode
% 0.23/0.62  % Total configuration time : 435
% 0.23/0.62  % Estimated wc time : 1092
% 0.23/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.43/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.43/0.84  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.43/0.87  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.74/0.90  % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 1.74/0.92  % Solved by fo/fo6_bce.sh.
% 1.74/0.92  % BCE start: 190
% 1.74/0.92  % BCE eliminated: 1
% 1.74/0.92  % PE start: 189
% 1.74/0.92  logic: eq
% 1.74/0.92  % PE eliminated: 2
% 1.74/0.92  % done 268 iterations in 0.143s
% 1.74/0.92  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.74/0.92  % SZS output start Refutation
% See solution above
% 1.74/0.92  
% 1.74/0.92  
% 1.88/0.92  % Terminating...
% 1.88/0.97  % Runner terminated.
% 1.88/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------