TSTP Solution File: SWW964+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW964+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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  : 600s
% DateTime : Thu Jul 21 00:11:46 EDT 2022

% Result   : Theorem 0.24s 1.43s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  106 (  31 unt;   0 def)
%            Number of atoms       :  252 (  28 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  261 ( 115   ~; 114   |;  15   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   30 (  30 usr;   6 con; 0-4 aty)
%            Number of variables   :  197 (  44 sgn  92   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax191,axiom,
    ! [X190,X191,X192] :
      ( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X191,name_skB)))
        & pred_attacker(tuple_client_B_in_3(X191))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X192,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_2(X192)) )
     => pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X191,name_skB)),name_Nb(X190),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X192,constr_pkey(name_skS)))))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax191) ).

fof(ax95,axiom,
    ! [X50,X51] : pred_eq_bitstring_bitstring(X50,X51),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax95) ).

fof(ax86,axiom,
    ! [X26,X27,X28,X29] : constr_ecb_enc_3(X27,X28,X29,X26) = tuple_3(constr_ecb_enc_1(X27,X26),constr_ecb_enc_1(X28,X26),constr_ecb_enc_1(X29,X26)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax86) ).

fof(ax135,axiom,
    ! [X112] :
      ( pred_attacker(tuple_client_B_out_4(X112))
     => pred_attacker(X112) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax135) ).

fof(ax80,axiom,
    ! [X5,X6] : constr_checksign(constr_sign(X6,X5),constr_pkey(X5)) = X6,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax80) ).

fof(ax192,axiom,
    ! [X193,X194,X195,X196] :
      ( ( pred_eq_bitstring_bitstring(name_Nb(X193),constr_ecb_dec_1(X195,name_skB))
        & pred_attacker(tuple_client_B_in_5(X195))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X194,name_skB)))
        & pred_attacker(tuple_client_B_in_3(X194))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X196,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_2(X196)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax192) ).

fof(ax169,axiom,
    ! [X167,X168,X169] :
      ( pred_attacker(tuple_3(X167,X168,X169))
     => pred_attacker(X168) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax169) ).

fof(ax139,axiom,
    ! [X119] :
      ( pred_attacker(X119)
     => pred_attacker(tuple_client_B_in_5(X119)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax139) ).

fof(ax141,axiom,
    ! [X121] :
      ( pred_attacker(X121)
     => pred_attacker(tuple_client_B_in_3(X121)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax141) ).

fof(ax193,axiom,
    ! [X197,X198,X199] :
      ( ( pred_table(tuple_keys(X197,X198))
        & pred_attacker(tuple_key_retrieval_server_in_1(X199,X197)) )
     => pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X197,X198),name_skS))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax193) ).

fof(ax114,axiom,
    ! [X70,X71] :
      ( ( pred_attacker(X70)
        & pred_attacker(X71) )
     => pred_attacker(tuple_key_retrieval_server_in_1(X70,X71)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax114) ).

fof(ax181,axiom,
    ! [X184] : pred_attacker(name_new0x2Dname(X184)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax181) ).

fof(ax143,axiom,
    ! [X123] :
      ( pred_attacker(X123)
     => pred_attacker(tuple_client_B_in_2(X123)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax143) ).

fof(ax89,axiom,
    ! [X36,X37] : constr_tuple_2_get_1_bitstring(tuple_2(X36,X37)) = X37,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax89) ).

fof(ax113,axiom,
    ! [X69] :
      ( pred_attacker(tuple_key_retrieval_server_out_2(X69))
     => pred_attacker(X69) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax113) ).

fof(ax194,axiom,
    ! [X200,X201] :
      ( ( X200 != name_B
        & X200 != name_A
        & pred_attacker(tuple_key_register_server_in_1(X200,X201)) )
     => pred_table(tuple_keys(X200,X201)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax194) ).

fof(ax118,axiom,
    ! [X78,X79] :
      ( pred_attacker(tuple_key_register_server_in_1(X78,X79))
     => pred_attacker(X78) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax118) ).

fof(ax117,axiom,
    ! [X76,X77] :
      ( ( pred_attacker(X76)
        & pred_attacker(X77) )
     => pred_attacker(tuple_key_register_server_in_1(X76,X77)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax117) ).

fof(ax133,axiom,
    ! [X110] :
      ( pred_attacker(tuple_client_B_out_6(X110))
     => pred_attacker(X110) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax133) ).

fof(co0,conjecture,
    ! [X202] : pred_attacker(tuple_2(name_Nb(X202),name_objective)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co0) ).

fof(ax130,axiom,
    ! [X105,X106] :
      ( ( pred_attacker(X105)
        & pred_attacker(X106) )
     => pred_attacker(constr_ecb_dec_1(X105,X106)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax130) ).

fof(ax84,axiom,
    ! [X19,X20] : constr_ecb_dec_1(constr_ecb_enc_1(X20,constr_pkey(X19)),X19) = X20,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax84) ).

fof(ax171,axiom,
    ! [X173,X174] :
      ( ( pred_attacker(X173)
        & pred_attacker(X174) )
     => pred_attacker(tuple_2(X173,X174)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax171) ).

fof(ax53,axiom,
    name_A != name_objective,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax53) ).

fof(ax59,axiom,
    name_B != name_objective,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax59) ).

fof(ax105,axiom,
    ! [X61] :
      ( pred_attacker(X61)
     => pred_attacker(constr_pkey(X61)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax105) ).

fof(c_0_26,plain,
    ! [X193,X194,X195] :
      ( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X194,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_3(X194))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X195,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_2(X195))
      | pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X194,name_skB)),name_Nb(X193),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X195,constr_pkey(name_skS)))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax191])]) ).

fof(c_0_27,plain,
    ! [X52,X53] : pred_eq_bitstring_bitstring(X52,X53),
    inference(variable_rename,[status(thm)],[ax95]) ).

fof(c_0_28,plain,
    ! [X30,X31,X32,X33] : constr_ecb_enc_3(X31,X32,X33,X30) = tuple_3(constr_ecb_enc_1(X31,X30),constr_ecb_enc_1(X32,X30),constr_ecb_enc_1(X33,X30)),
    inference(variable_rename,[status(thm)],[ax86]) ).

fof(c_0_29,plain,
    ! [X113] :
      ( ~ pred_attacker(tuple_client_B_out_4(X113))
      | pred_attacker(X113) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax135])]) ).

cnf(c_0_30,plain,
    ( pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),name_Nb(X2),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X3,constr_pkey(name_skS))))))
    | ~ pred_attacker(tuple_client_B_in_2(X3))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB))) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    pred_eq_bitstring_bitstring(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_32,plain,
    constr_ecb_enc_3(X1,X2,X3,X4) = tuple_3(constr_ecb_enc_1(X1,X4),constr_ecb_enc_1(X2,X4),constr_ecb_enc_1(X3,X4)),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_B_out_4(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,plain,
    ( pred_attacker(tuple_client_B_out_4(tuple_3(constr_ecb_enc_1(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),constr_tuple_2_get_1_bitstring(constr_checksign(X3,constr_pkey(name_skS)))),constr_ecb_enc_1(name_Nb(X2),constr_tuple_2_get_1_bitstring(constr_checksign(X3,constr_pkey(name_skS)))),constr_ecb_enc_1(name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X3,constr_pkey(name_skS)))))))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(tuple_client_B_in_2(X3)) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_31])]),c_0_32]) ).

fof(c_0_35,plain,
    ! [X7,X8] : constr_checksign(constr_sign(X8,X7),constr_pkey(X7)) = X8,
    inference(variable_rename,[status(thm)],[ax80]) ).

fof(c_0_36,plain,
    ! [X197,X198,X199,X200] :
      ( ~ pred_eq_bitstring_bitstring(name_Nb(X197),constr_ecb_dec_1(X199,name_skB))
      | ~ pred_attacker(tuple_client_B_in_5(X199))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X198,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_3(X198))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X200,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_2(X200))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax192])])])]) ).

fof(c_0_37,plain,
    ! [X170,X171,X172] :
      ( ~ pred_attacker(tuple_3(X170,X171,X172))
      | pred_attacker(X171) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax169])])])]) ).

cnf(c_0_38,plain,
    ( pred_attacker(tuple_3(constr_ecb_enc_1(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))),constr_ecb_enc_1(name_Nb(X3),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))),constr_ecb_enc_1(name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(tuple_client_B_in_2(X2)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    constr_checksign(constr_sign(X1,X2),constr_pkey(X2)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(tuple_client_B_in_2(X1))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_B_in_3(X2))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X2,name_skB)))
    | ~ pred_attacker(tuple_client_B_in_5(X3))
    | ~ pred_eq_bitstring_bitstring(name_Nb(X4),constr_ecb_dec_1(X3,name_skB)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_41,plain,
    ! [X120] :
      ( ~ pred_attacker(X120)
      | pred_attacker(tuple_client_B_in_5(X120)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax139])]) ).

cnf(c_0_42,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_3(X2,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_43,plain,
    ( pred_attacker(tuple_3(constr_ecb_enc_1(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X1,name_skB)),constr_tuple_2_get_1_bitstring(X2)),constr_ecb_enc_1(name_Nb(X3),constr_tuple_2_get_1_bitstring(X2)),constr_ecb_enc_1(name_B,constr_tuple_2_get_1_bitstring(X2))))
    | ~ pred_attacker(tuple_client_B_in_2(constr_sign(X2,name_skS)))
    | ~ pred_attacker(tuple_client_B_in_3(X1)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_44,plain,
    ! [X122] :
      ( ~ pred_attacker(X122)
      | pred_attacker(tuple_client_B_in_3(X122)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax141])]) ).

fof(c_0_45,plain,
    ! [X200,X201,X202] :
      ( ~ pred_table(tuple_keys(X200,X201))
      | ~ pred_attacker(tuple_key_retrieval_server_in_1(X202,X200))
      | pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X200,X201),name_skS))) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax193])])])]) ).

fof(c_0_46,plain,
    ! [X72,X73] :
      ( ~ pred_attacker(X72)
      | ~ pred_attacker(X73)
      | pred_attacker(tuple_key_retrieval_server_in_1(X72,X73)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax114])]) ).

cnf(c_0_47,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(tuple_client_B_in_5(X3))
    | ~ pred_attacker(tuple_client_B_in_3(X2))
    | ~ pred_attacker(tuple_client_B_in_2(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_31]),c_0_31]),c_0_31])]) ).

cnf(c_0_48,plain,
    ( pred_attacker(tuple_client_B_in_5(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(X2)))
    | ~ pred_attacker(tuple_client_B_in_2(constr_sign(X2,name_skS)))
    | ~ pred_attacker(tuple_client_B_in_3(X3)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_51,plain,
    ! [X185] : pred_attacker(name_new0x2Dname(X185)),
    inference(variable_rename,[status(thm)],[ax181]) ).

cnf(c_0_52,plain,
    ( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
    | ~ pred_attacker(tuple_key_retrieval_server_in_1(X3,X1))
    | ~ pred_table(tuple_keys(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,plain,
    ( pred_attacker(tuple_key_retrieval_server_in_1(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_54,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(tuple_client_B_in_2(X2))
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_55,plain,
    ! [X124] :
      ( ~ pred_attacker(X124)
      | pred_attacker(tuple_client_B_in_2(X124)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax143])]) ).

cnf(c_0_56,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(X2)))
    | ~ pred_attacker(tuple_client_B_in_2(constr_sign(X2,name_skS)))
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,plain,
    pred_attacker(name_new0x2Dname(X1)),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

fof(c_0_58,plain,
    ! [X38,X39] : constr_tuple_2_get_1_bitstring(tuple_2(X38,X39)) = X39,
    inference(variable_rename,[status(thm)],[ax89]) ).

fof(c_0_59,plain,
    ! [X70] :
      ( ~ pred_attacker(tuple_key_retrieval_server_out_2(X70))
      | pred_attacker(X70) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax113])]) ).

cnf(c_0_60,plain,
    ( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
    | ~ pred_table(tuple_keys(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(tuple_client_B_in_2(X1))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_54,c_0_50]) ).

cnf(c_0_62,plain,
    ( pred_attacker(tuple_client_B_in_2(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(X2)))
    | ~ pred_attacker(tuple_client_B_in_2(constr_sign(X2,name_skS))) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_64,plain,
    constr_tuple_2_get_1_bitstring(tuple_2(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_65,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_key_retrieval_server_out_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_66,plain,
    ( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS)))
    | ~ pred_table(tuple_keys(X1,X2))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_57]) ).

fof(c_0_67,plain,
    ! [X202,X203] :
      ( X202 = name_B
      | X202 = name_A
      | ~ pred_attacker(tuple_key_register_server_in_1(X202,X203))
      | pred_table(tuple_keys(X202,X203)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax194])]) ).

fof(c_0_68,plain,
    ! [X80,X81] :
      ( ~ pred_attacker(tuple_key_register_server_in_1(X80,X81))
      | pred_attacker(X80) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax118])])])]) ).

cnf(c_0_69,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_70,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),X2))
    | ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X3,X2),name_skS))) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_71,plain,
    ( pred_attacker(constr_sign(tuple_2(X1,X2),name_skS))
    | ~ pred_table(tuple_keys(X1,X2))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_72,plain,
    ( pred_table(tuple_keys(X1,X2))
    | X1 = name_A
    | X1 = name_B
    | ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_73,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_74,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_57]) ).

cnf(c_0_75,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),X2))
    | ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_62]) ).

cnf(c_0_76,plain,
    ( X1 = name_A
    | X1 = name_B
    | pred_attacker(constr_sign(tuple_2(X1,X2),name_skS))
    | ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).

fof(c_0_77,plain,
    ! [X78,X79] :
      ( ~ pred_attacker(X78)
      | ~ pred_attacker(X79)
      | pred_attacker(tuple_key_register_server_in_1(X78,X79)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax117])]) ).

fof(c_0_78,plain,
    ! [X111] :
      ( ~ pred_attacker(tuple_client_B_out_6(X111))
      | pred_attacker(X111) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax133])]) ).

cnf(c_0_79,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_57]) ).

fof(c_0_80,negated_conjecture,
    ~ ! [X202] : pred_attacker(tuple_2(name_Nb(X202),name_objective)),
    inference(assume_negation,[status(cth)],[co0]) ).

fof(c_0_81,plain,
    ! [X107,X108] :
      ( ~ pred_attacker(X107)
      | ~ pred_attacker(X108)
      | pred_attacker(constr_ecb_dec_1(X107,X108)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax130])]) ).

fof(c_0_82,plain,
    ! [X21,X22] : constr_ecb_dec_1(constr_ecb_enc_1(X22,constr_pkey(X21)),X21) = X22,
    inference(variable_rename,[status(thm)],[ax84]) ).

cnf(c_0_83,plain,
    ( X1 = name_B
    | X1 = name_A
    | pred_attacker(constr_ecb_enc_1(name_Nb(X2),X3))
    | ~ pred_attacker(tuple_key_register_server_in_1(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_84,plain,
    ( pred_attacker(tuple_key_register_server_in_1(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_85,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_B_out_6(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_86,plain,
    pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(spm,[status(thm)],[c_0_79,c_0_57]) ).

fof(c_0_87,negated_conjecture,
    ~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])]) ).

fof(c_0_88,plain,
    ! [X175,X176] :
      ( ~ pred_attacker(X175)
      | ~ pred_attacker(X176)
      | pred_attacker(tuple_2(X175,X176)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax171])]) ).

cnf(c_0_89,plain,
    ( pred_attacker(constr_ecb_dec_1(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_90,plain,
    constr_ecb_dec_1(constr_ecb_enc_1(X1,constr_pkey(X2)),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_91,plain,
    ( X1 = name_A
    | X1 = name_B
    | pred_attacker(constr_ecb_enc_1(name_Nb(X2),X3))
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_92,plain,
    pred_attacker(name_objective),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_93,plain,
    name_A != name_objective,
    inference(split_conjunct,[status(thm)],[ax53]) ).

cnf(c_0_94,plain,
    name_B != name_objective,
    inference(split_conjunct,[status(thm)],[ax59]) ).

fof(c_0_95,plain,
    ! [X62] :
      ( ~ pred_attacker(X62)
      | pred_attacker(constr_pkey(X62)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax105])]) ).

cnf(c_0_96,negated_conjecture,
    ~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_97,plain,
    ( pred_attacker(tuple_2(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_98,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_ecb_enc_1(X1,constr_pkey(X2)))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_99,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),X2))
    | ~ pred_attacker(X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94]) ).

cnf(c_0_100,plain,
    ( pred_attacker(constr_pkey(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ pred_attacker(name_Nb(esk1_0))
    | ~ pred_attacker(name_objective) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_102,plain,
    ( pred_attacker(name_Nb(X1))
    | ~ pred_attacker(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).

cnf(c_0_103,negated_conjecture,
    ~ pred_attacker(name_Nb(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_92])]) ).

cnf(c_0_104,plain,
    pred_attacker(name_Nb(X1)),
    inference(spm,[status(thm)],[c_0_102,c_0_57]) ).

cnf(c_0_105,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW964+1 : TPTP v8.1.0. Released v7.4.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n023.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  : 600
% 0.13/0.34  % DateTime : Sun Jun  5 22:54:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.018 s
% 0.24/1.42  
% 0.24/1.42  # Failure: Out of unprocessed clauses!
% 0.24/1.42  # OLD status GaveUp
% 0.24/1.42  # Parsed axioms                        : 196
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 95
% 0.24/1.42  # Initial clauses                      : 101
% 0.24/1.42  # Removed in clause preprocessing      : 1
% 0.24/1.42  # Initial clauses in saturation        : 100
% 0.24/1.42  # Processed clauses                    : 102
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 1
% 0.24/1.42  # ...remaining for further processing  : 101
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 0
% 0.24/1.42  # Generated clauses                    : 5
% 0.24/1.42  # ...of the previous two non-trivial   : 2
% 0.24/1.42  # Contextual simplify-reflections      : 0
% 0.24/1.42  # Paramodulations                      : 5
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 101
% 0.24/1.42  #    Positive orientable unit clauses  : 11
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 79
% 0.24/1.42  #    Non-unit-clauses                  : 11
% 0.24/1.42  # Current number of unprocessed clauses: 0
% 0.24/1.42  # ...number of literals in the above   : 0
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 1
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 134
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 42
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 1
% 0.24/1.42  # Unit Clause-clause subsumption calls : 945
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 0
% 0.24/1.42  # BW rewrite match successes           : 0
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 3163
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.019 s
% 0.24/1.42  # System time              : 0.001 s
% 0.24/1.42  # Total time               : 0.020 s
% 0.24/1.43  # Maximum resident set size: 3424 pages
% 0.24/1.43  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.24/1.43  # Preprocessing time       : 0.021 s
% 0.24/1.43  
% 0.24/1.43  # Proof found!
% 0.24/1.43  # SZS status Theorem
% 0.24/1.43  # SZS output start CNFRefutation
% See solution above
% 0.24/1.43  # Proof object total steps             : 106
% 0.24/1.43  # Proof object clause steps            : 55
% 0.24/1.43  # Proof object formula steps           : 51
% 0.24/1.43  # Proof object conjectures             : 7
% 0.24/1.43  # Proof object clause conjectures      : 4
% 0.24/1.43  # Proof object formula conjectures     : 3
% 0.24/1.43  # Proof object initial clauses used    : 26
% 0.24/1.43  # Proof object initial formulas used   : 26
% 0.24/1.43  # Proof object generating inferences   : 25
% 0.24/1.43  # Proof object simplifying inferences  : 16
% 0.24/1.43  # Training examples: 0 positive, 0 negative
% 0.24/1.43  # Parsed axioms                        : 196
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.43  # Initial clauses                      : 196
% 0.24/1.43  # Removed in clause preprocessing      : 4
% 0.24/1.43  # Initial clauses in saturation        : 192
% 0.24/1.43  # Processed clauses                    : 976
% 0.24/1.43  # ...of these trivial                  : 1
% 0.24/1.43  # ...subsumed                          : 454
% 0.24/1.43  # ...remaining for further processing  : 521
% 0.24/1.43  # Other redundant clauses eliminated   : 0
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 126
% 0.24/1.43  # Backward-rewritten                   : 8
% 0.24/1.43  # Generated clauses                    : 8098
% 0.24/1.43  # ...of the previous two non-trivial   : 7948
% 0.24/1.43  # Contextual simplify-reflections      : 189
% 0.24/1.43  # Paramodulations                      : 8098
% 0.24/1.43  # Factorizations                       : 0
% 0.24/1.43  # Equation resolutions                 : 0
% 0.24/1.43  # Current number of processed clauses  : 387
% 0.24/1.43  #    Positive orientable unit clauses  : 60
% 0.24/1.43  #    Positive unorientable unit clauses: 0
% 0.24/1.43  #    Negative unit clauses             : 82
% 0.24/1.43  #    Non-unit-clauses                  : 245
% 0.24/1.43  # Current number of unprocessed clauses: 935
% 0.24/1.43  # ...number of literals in the above   : 4089
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 138
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 104369
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 75722
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 705
% 0.24/1.43  # Unit Clause-clause subsumption calls : 2200
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 35
% 0.24/1.43  # BW rewrite match successes           : 8
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 115225
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.127 s
% 0.24/1.43  # System time              : 0.005 s
% 0.24/1.43  # Total time               : 0.132 s
% 0.24/1.43  # Maximum resident set size: 5216 pages
% 0.24/23.47  eprover: CPU time limit exceeded, terminating
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.51  eprover: No such file or directory
% 0.24/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.51  eprover: No such file or directory
% 0.24/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.52  eprover: No such file or directory
% 0.24/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.52  eprover: No such file or directory
% 0.24/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.53  eprover: No such file or directory
% 0.24/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.53  eprover: No such file or directory
% 0.24/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.54  eprover: No such file or directory
%------------------------------------------------------------------------------