TSTP Solution File: SWW964+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW964+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:12:03 EDT 2023

% Result   : Theorem 0.17s 0.69s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  133 (  35 unt;   0 def)
%            Number of atoms       :  311 (  33 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  318 ( 140   ~; 141   |;  16   &)
%                                         (   0 <=>;  21  =>;   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    :   35 (  35 usr;   7 con; 0-4 aty)
%            Number of variables   :  253 (  62 sgn; 110   !;   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/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax191) ).

fof(ax95,axiom,
    ! [X50,X51] : pred_eq_bitstring_bitstring(X50,X51),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',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/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax86) ).

fof(ax135,axiom,
    ! [X112] :
      ( pred_attacker(tuple_client_B_out_4(X112))
     => pred_attacker(X112) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax135) ).

fof(ax188,axiom,
    ! [X185,X186] :
      ( ( pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X186,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_A_in_2(X186)) )
     => pred_attacker(tuple_client_A_out_3(constr_ecb_enc_2(name_Na(X185),name_A,constr_tuple_2_get_1_bitstring(constr_checksign(X186,constr_pkey(name_skS)))))) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax188) ).

fof(ax87,axiom,
    ! [X30,X31,X32] : constr_ecb_enc_2(X31,X32,X30) = tuple_2(constr_ecb_enc_1(X31,X30),constr_ecb_enc_1(X32,X30)),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax87) ).

fof(ax80,axiom,
    ! [X5,X6] : constr_checksign(constr_sign(X6,X5),constr_pkey(X5)) = X6,
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax80) ).

fof(ax148,axiom,
    ! [X128] :
      ( pred_attacker(tuple_client_A_out_3(X128))
     => pred_attacker(X128) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax148) ).

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/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax192) ).

fof(ax169,axiom,
    ! [X167,X168,X169] :
      ( pred_attacker(tuple_3(X167,X168,X169))
     => pred_attacker(X168) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax169) ).

fof(ax172,axiom,
    ! [X175,X176] :
      ( pred_attacker(tuple_2(X175,X176))
     => pred_attacker(X175) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax172) ).

fof(ax139,axiom,
    ! [X119] :
      ( pred_attacker(X119)
     => pred_attacker(tuple_client_B_in_5(X119)) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax139) ).

fof(ax143,axiom,
    ! [X123] :
      ( pred_attacker(X123)
     => pred_attacker(tuple_client_B_in_2(X123)) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax143) ).

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/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',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/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax114) ).

fof(ax141,axiom,
    ! [X121] :
      ( pred_attacker(X121)
     => pred_attacker(tuple_client_B_in_3(X121)) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax141) ).

fof(ax89,axiom,
    ! [X36,X37] : constr_tuple_2_get_1_bitstring(tuple_2(X36,X37)) = X37,
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax89) ).

fof(ax181,axiom,
    ! [X184] : pred_attacker(name_new0x2Dname(X184)),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax181) ).

fof(ax154,axiom,
    ! [X137] :
      ( pred_attacker(X137)
     => pred_attacker(tuple_client_A_in_2(X137)) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax154) ).

fof(ax113,axiom,
    ! [X69] :
      ( pred_attacker(tuple_key_retrieval_server_out_2(X69))
     => pred_attacker(X69) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',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/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax194) ).

fof(ax118,axiom,
    ! [X78,X79] :
      ( pred_attacker(tuple_key_register_server_in_1(X78,X79))
     => pred_attacker(X78) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',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/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax117) ).

fof(ax133,axiom,
    ! [X110] :
      ( pred_attacker(tuple_client_B_out_6(X110))
     => pred_attacker(X110) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax133) ).

fof(ax130,axiom,
    ! [X105,X106] :
      ( ( pred_attacker(X105)
        & pred_attacker(X106) )
     => pred_attacker(constr_ecb_dec_1(X105,X106)) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax130) ).

fof(ax84,axiom,
    ! [X19,X20] : constr_ecb_dec_1(constr_ecb_enc_1(X20,constr_pkey(X19)),X19) = X20,
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax84) ).

fof(co0,conjecture,
    ! [X202] : pred_attacker(tuple_2(name_Nb(X202),name_objective)),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',co0) ).

fof(ax53,axiom,
    name_A != name_objective,
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax53) ).

fof(ax59,axiom,
    name_B != name_objective,
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax59) ).

fof(ax105,axiom,
    ! [X61] :
      ( pred_attacker(X61)
     => pred_attacker(constr_pkey(X61)) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax105) ).

fof(ax171,axiom,
    ! [X173,X174] :
      ( ( pred_attacker(X173)
        & pred_attacker(X174) )
     => pred_attacker(tuple_2(X173,X174)) ),
    file('/export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p',ax171) ).

fof(c_0_31,plain,
    ! [X392,X393,X394] :
      ( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X393,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_3(X393))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X394,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_2(X394))
      | pred_attacker(tuple_client_B_out_4(constr_ecb_enc_3(constr_tuple_2_get_0x30_bitstring(constr_ecb_dec_2(X393,name_skB)),name_Nb(X392),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X394,constr_pkey(name_skS)))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax191])]) ).

fof(c_0_32,plain,
    ! [X252,X253] : pred_eq_bitstring_bitstring(X252,X253),
    inference(variable_rename,[status(thm)],[ax95]) ).

fof(c_0_33,plain,
    ! [X228,X229,X230,X231] : constr_ecb_enc_3(X229,X230,X231,X228) = tuple_3(constr_ecb_enc_1(X229,X228),constr_ecb_enc_1(X230,X228),constr_ecb_enc_1(X231,X228)),
    inference(variable_rename,[status(thm)],[ax86]) ).

fof(c_0_34,plain,
    ! [X314] :
      ( ~ pred_attacker(tuple_client_B_out_4(X314))
      | pred_attacker(X314) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax135])]) ).

cnf(c_0_35,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(X3),name_B,constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB)))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_B_in_2(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_36,plain,
    pred_eq_bitstring_bitstring(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,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_33]) ).

fof(c_0_38,plain,
    ! [X387,X388] :
      ( ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X388,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_A_in_2(X388))
      | pred_attacker(tuple_client_A_out_3(constr_ecb_enc_2(name_Na(X387),name_A,constr_tuple_2_get_1_bitstring(constr_checksign(X388,constr_pkey(name_skS)))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax188])]) ).

fof(c_0_39,plain,
    ! [X232,X233,X234] : constr_ecb_enc_2(X233,X234,X232) = tuple_2(constr_ecb_enc_1(X233,X232),constr_ecb_enc_1(X234,X232)),
    inference(variable_rename,[status(thm)],[ax87]) ).

cnf(c_0_40,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_B_out_4(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,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(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(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_36])]),c_0_37]) ).

fof(c_0_42,plain,
    ! [X207,X208] : constr_checksign(constr_sign(X208,X207),constr_pkey(X207)) = X208,
    inference(variable_rename,[status(thm)],[ax80]) ).

fof(c_0_43,plain,
    ! [X330] :
      ( ~ pred_attacker(tuple_client_A_out_3(X330))
      | pred_attacker(X330) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax148])]) ).

cnf(c_0_44,plain,
    ( pred_attacker(tuple_client_A_out_3(constr_ecb_enc_2(name_Na(X2),name_A,constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS))))))
    | ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_A_in_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_45,plain,
    constr_ecb_enc_2(X1,X2,X3) = tuple_2(constr_ecb_enc_1(X1,X3),constr_ecb_enc_1(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_46,plain,
    ! [X395,X396,X397,X398] :
      ( ~ pred_eq_bitstring_bitstring(name_Nb(X395),constr_ecb_dec_1(X397,name_skB))
      | ~ pred_attacker(tuple_client_B_in_5(X397))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X396,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_3(X396))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X398,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_2(X398))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax192])]) ).

fof(c_0_47,plain,
    ! [X369,X370,X371] :
      ( ~ pred_attacker(tuple_3(X369,X370,X371))
      | pred_attacker(X370) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax169])]) ).

cnf(c_0_48,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_40,c_0_41]) ).

cnf(c_0_49,plain,
    constr_checksign(constr_sign(X1,X2),constr_pkey(X2)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_50,plain,
    ! [X377,X378] :
      ( ~ pred_attacker(tuple_2(X377,X378))
      | pred_attacker(X377) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax172])]) ).

cnf(c_0_51,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_out_3(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_52,plain,
    ( pred_attacker(tuple_client_A_out_3(tuple_2(constr_ecb_enc_1(name_Na(X2),constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS)))),constr_ecb_enc_1(name_A,constr_tuple_2_get_1_bitstring(constr_checksign(X1,constr_pkey(name_skS)))))))
    | ~ pred_attacker(tuple_client_A_in_2(X1)) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_36])]),c_0_45]) ).

cnf(c_0_53,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_ecb_dec_1(X2,name_skB))
    | ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X3,name_skB)))
    | ~ pred_attacker(tuple_client_B_in_3(X3))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X4,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_B_in_2(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_54,plain,
    ! [X321] :
      ( ~ pred_attacker(X321)
      | pred_attacker(tuple_client_B_in_5(X321)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax139])]) ).

cnf(c_0_55,plain,
    ( pred_attacker(X2)
    | ~ pred_attacker(tuple_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_56,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_48,c_0_49]) ).

fof(c_0_57,plain,
    ! [X325] :
      ( ~ pred_attacker(X325)
      | pred_attacker(tuple_client_B_in_2(X325)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax143])]) ).

cnf(c_0_58,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_59,plain,
    ( pred_attacker(tuple_2(constr_ecb_enc_1(name_Na(X1),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))),constr_ecb_enc_1(name_A,constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))))
    | ~ pred_attacker(tuple_client_A_in_2(X2)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_60,plain,
    ! [X399,X400,X401] :
      ( ~ pred_table(tuple_keys(X399,X400))
      | ~ pred_attacker(tuple_key_retrieval_server_in_1(X401,X399))
      | pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X399,X400),name_skS))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax193])]) ).

fof(c_0_61,plain,
    ! [X272,X273] :
      ( ~ pred_attacker(X272)
      | ~ pred_attacker(X273)
      | pred_attacker(tuple_key_retrieval_server_in_1(X272,X273)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax114])]) ).

cnf(c_0_62,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ pred_attacker(tuple_client_B_in_3(X3))
    | ~ pred_attacker(tuple_client_B_in_2(X4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_36]),c_0_36]),c_0_36])]) ).

cnf(c_0_63,plain,
    ( pred_attacker(tuple_client_B_in_5(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

fof(c_0_64,plain,
    ! [X323] :
      ( ~ pred_attacker(X323)
      | pred_attacker(tuple_client_B_in_3(X323)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax141])]) ).

cnf(c_0_65,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_55,c_0_56]) ).

cnf(c_0_66,plain,
    ( pred_attacker(tuple_client_B_in_2(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_67,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Na(X1),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))
    | ~ pred_attacker(tuple_client_A_in_2(X2)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

fof(c_0_68,plain,
    ! [X238,X239] : constr_tuple_2_get_1_bitstring(tuple_2(X238,X239)) = X239,
    inference(variable_rename,[status(thm)],[ax89]) ).

cnf(c_0_69,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(tuple_key_retrieval_server_in_1(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_70,plain,
    ( pred_attacker(tuple_key_retrieval_server_in_1(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

fof(c_0_71,plain,
    ! [X386] : pred_attacker(name_new0x2Dname(X386)),
    inference(variable_rename,[status(thm)],[ax181]) ).

cnf(c_0_72,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_62,c_0_63]) ).

cnf(c_0_73,plain,
    ( pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_74,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(X2)))
    | ~ pred_attacker(constr_sign(X2,name_skS))
    | ~ pred_attacker(tuple_client_B_in_3(X3)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_75,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Na(X1),constr_tuple_2_get_1_bitstring(X2)))
    | ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS))) ),
    inference(spm,[status(thm)],[c_0_67,c_0_49]) ).

cnf(c_0_76,plain,
    constr_tuple_2_get_1_bitstring(tuple_2(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

fof(c_0_77,plain,
    ! [X339] :
      ( ~ pred_attacker(X339)
      | pred_attacker(tuple_client_A_in_2(X339)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax154])]) ).

fof(c_0_78,plain,
    ! [X271] :
      ( ~ pred_attacker(tuple_key_retrieval_server_out_2(X271))
      | pred_attacker(X271) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax113])]) ).

cnf(c_0_79,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_69,c_0_70]) ).

cnf(c_0_80,plain,
    pred_attacker(name_new0x2Dname(X1)),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_81,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_72,c_0_73]) ).

cnf(c_0_82,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(X2)))
    | ~ pred_attacker(constr_sign(X2,name_skS))
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_74,c_0_73]) ).

cnf(c_0_83,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Na(X1),X2))
    | ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X3,X2),name_skS))) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_84,plain,
    ( pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_85,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_key_retrieval_server_out_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_86,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_79,c_0_80]) ).

cnf(c_0_87,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_81,c_0_66]) ).

cnf(c_0_88,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(X2)))
    | ~ pred_attacker(constr_sign(X2,name_skS)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_80]) ).

cnf(c_0_89,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Na(X1),X2))
    | ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_90,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_85,c_0_86]) ).

fof(c_0_91,plain,
    ! [X402,X403] :
      ( X402 = name_B
      | X402 = name_A
      | ~ pred_attacker(tuple_key_register_server_in_1(X402,X403))
      | pred_table(tuple_keys(X402,X403)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax194])]) ).

fof(c_0_92,plain,
    ! [X280,X281] :
      ( ~ pred_attacker(tuple_key_register_server_in_1(X280,X281))
      | pred_attacker(X280) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax118])]) ).

cnf(c_0_93,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_87,c_0_80]) ).

cnf(c_0_94,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_88,c_0_76]) ).

cnf(c_0_95,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Na(X1),X2))
    | ~ pred_table(tuple_keys(X3,X2))
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_96,plain,
    ( X1 = name_B
    | X1 = name_A
    | pred_table(tuple_keys(X1,X2))
    | ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_97,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

fof(c_0_98,plain,
    ! [X278,X279] :
      ( ~ pred_attacker(X278)
      | ~ pred_attacker(X279)
      | pred_attacker(tuple_key_register_server_in_1(X278,X279)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax117])]) ).

fof(c_0_99,plain,
    ! [X312] :
      ( ~ pred_attacker(tuple_client_B_out_6(X312))
      | pred_attacker(X312) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax133])]) ).

cnf(c_0_100,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_93,c_0_80]) ).

cnf(c_0_101,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Nb(X1),X2))
    | ~ pred_table(tuple_keys(X3,X2))
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_94,c_0_90]) ).

fof(c_0_102,plain,
    ! [X307,X308] :
      ( ~ pred_attacker(X307)
      | ~ pred_attacker(X308)
      | pred_attacker(constr_ecb_dec_1(X307,X308)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax130])]) ).

fof(c_0_103,plain,
    ! [X221,X222] : constr_ecb_dec_1(constr_ecb_enc_1(X222,constr_pkey(X221)),X221) = X222,
    inference(variable_rename,[status(thm)],[ax84]) ).

cnf(c_0_104,plain,
    ( X1 = name_B
    | X1 = name_A
    | pred_attacker(constr_ecb_enc_1(name_Na(X2),X3))
    | ~ pred_attacker(tuple_key_register_server_in_1(X1,X3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).

cnf(c_0_105,plain,
    ( pred_attacker(tuple_key_register_server_in_1(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_106,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_B_out_6(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_107,plain,
    pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(spm,[status(thm)],[c_0_100,c_0_80]) ).

fof(c_0_108,negated_conjecture,
    ~ ! [X202] : pred_attacker(tuple_2(name_Nb(X202),name_objective)),
    inference(assume_negation,[status(cth)],[co0]) ).

cnf(c_0_109,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_96]),c_0_97]) ).

cnf(c_0_110,plain,
    ( pred_attacker(constr_ecb_dec_1(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_111,plain,
    constr_ecb_dec_1(constr_ecb_enc_1(X1,constr_pkey(X2)),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_112,plain,
    ( X1 = name_A
    | X1 = name_B
    | pred_attacker(constr_ecb_enc_1(name_Na(X2),X3))
    | ~ pred_attacker(X3)
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_113,plain,
    pred_attacker(name_objective),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_114,plain,
    name_A != name_objective,
    inference(split_conjunct,[status(thm)],[ax53]) ).

cnf(c_0_115,plain,
    name_B != name_objective,
    inference(split_conjunct,[status(thm)],[ax59]) ).

fof(c_0_116,plain,
    ! [X263] :
      ( ~ pred_attacker(X263)
      | pred_attacker(constr_pkey(X263)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax105])]) ).

fof(c_0_117,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_108])])]) ).

fof(c_0_118,plain,
    ! [X375,X376] :
      ( ~ pred_attacker(X375)
      | ~ pred_attacker(X376)
      | pred_attacker(tuple_2(X375,X376)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax171])]) ).

cnf(c_0_119,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_109,c_0_105]) ).

cnf(c_0_120,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_ecb_enc_1(X1,constr_pkey(X2)))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_121,plain,
    ( pred_attacker(constr_ecb_enc_1(name_Na(X1),X2))
    | ~ pred_attacker(X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]) ).

cnf(c_0_122,plain,
    ( pred_attacker(constr_pkey(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_123,negated_conjecture,
    ~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_124,plain,
    ( pred_attacker(tuple_2(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_125,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_119,c_0_113]),c_0_114]),c_0_115]) ).

cnf(c_0_126,plain,
    ( pred_attacker(name_Na(X1))
    | ~ pred_attacker(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ pred_attacker(name_Nb(esk1_0))
    | ~ pred_attacker(name_objective) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_128,plain,
    ( pred_attacker(name_Nb(X1))
    | ~ pred_attacker(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_125]),c_0_122]) ).

cnf(c_0_129,plain,
    pred_attacker(name_Na(X1)),
    inference(spm,[status(thm)],[c_0_126,c_0_80]) ).

cnf(c_0_130,negated_conjecture,
    ~ pred_attacker(name_Nb(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_113])]) ).

cnf(c_0_131,plain,
    pred_attacker(name_Nb(X1)),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_132,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWW964+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n020.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 2400
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Oct  2 22:44:16 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.aKCuVVPae7/E---3.1_32545.p
% 0.17/0.69  # Version: 3.1pre001
% 0.17/0.69  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.69  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.69  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.69  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.69  # Starting sh5l with 300s (1) cores
% 0.17/0.69  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 32636 completed with status 0
% 0.17/0.69  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.69  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.69  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.69  # No SInE strategy applied
% 0.17/0.69  # Search class: FGUSM-FFMM31-DFFFFFNN
% 0.17/0.69  # partial match(1): FGHSM-FFMM31-DFFFFFNN
% 0.17/0.69  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.69  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 450s (1) cores
% 0.17/0.69  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.69  # Starting new_bool_3 with 226s (1) cores
% 0.17/0.69  # Starting new_bool_1 with 226s (1) cores
% 0.17/0.69  # Starting sh5l with 226s (1) cores
% 0.17/0.69  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 32644 completed with status 0
% 0.17/0.69  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.69  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.69  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.69  # No SInE strategy applied
% 0.17/0.69  # Search class: FGUSM-FFMM31-DFFFFFNN
% 0.17/0.69  # partial match(1): FGHSM-FFMM31-DFFFFFNN
% 0.17/0.69  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.69  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 450s (1) cores
% 0.17/0.69  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.69  # Preprocessing time       : 0.002 s
% 0.17/0.69  # Presaturation interreduction done
% 0.17/0.69  
% 0.17/0.69  # Proof found!
% 0.17/0.69  # SZS status Theorem
% 0.17/0.69  # SZS output start CNFRefutation
% See solution above
% 0.17/0.69  # Parsed axioms                        : 196
% 0.17/0.69  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.69  # Initial clauses                      : 196
% 0.17/0.69  # Removed in clause preprocessing      : 4
% 0.17/0.69  # Initial clauses in saturation        : 192
% 0.17/0.69  # Processed clauses                    : 2227
% 0.17/0.69  # ...of these trivial                  : 23
% 0.17/0.69  # ...subsumed                          : 1398
% 0.17/0.69  # ...remaining for further processing  : 806
% 0.17/0.69  # Other redundant clauses eliminated   : 0
% 0.17/0.69  # Clauses deleted for lack of memory   : 0
% 0.17/0.69  # Backward-subsumed                    : 204
% 0.17/0.69  # Backward-rewritten                   : 23
% 0.17/0.69  # Generated clauses                    : 15488
% 0.17/0.69  # ...of the previous two non-redundant : 15224
% 0.17/0.69  # ...aggressively subsumed             : 0
% 0.17/0.69  # Contextual simplify-reflections      : 96
% 0.17/0.69  # Paramodulations                      : 15488
% 0.17/0.69  # Factorizations                       : 0
% 0.17/0.69  # NegExts                              : 0
% 0.17/0.69  # Equation resolutions                 : 0
% 0.17/0.69  # Total rewrite steps                  : 327
% 0.17/0.69  # Propositional unsat checks           : 0
% 0.17/0.69  #    Propositional check models        : 0
% 0.17/0.69  #    Propositional check unsatisfiable : 0
% 0.17/0.69  #    Propositional clauses             : 0
% 0.17/0.69  #    Propositional clauses after purity: 0
% 0.17/0.69  #    Propositional unsat core size     : 0
% 0.17/0.69  #    Propositional preprocessing time  : 0.000
% 0.17/0.69  #    Propositional encoding time       : 0.000
% 0.17/0.69  #    Propositional solver time         : 0.000
% 0.17/0.69  #    Success case prop preproc time    : 0.000
% 0.17/0.69  #    Success case prop encoding time   : 0.000
% 0.17/0.69  #    Success case prop solver time     : 0.000
% 0.17/0.69  # Current number of processed clauses  : 387
% 0.17/0.69  #    Positive orientable unit clauses  : 69
% 0.17/0.69  #    Positive unorientable unit clauses: 0
% 0.17/0.69  #    Negative unit clauses             : 82
% 0.17/0.69  #    Non-unit-clauses                  : 236
% 0.17/0.69  # Current number of unprocessed clauses: 1578
% 0.17/0.69  # ...number of literals in the above   : 6740
% 0.17/0.69  # Current number of archived formulas  : 0
% 0.17/0.69  # Current number of archived clauses   : 423
% 0.17/0.69  # Clause-clause subsumption calls (NU) : 125559
% 0.17/0.69  # Rec. Clause-clause subsumption calls : 78025
% 0.17/0.69  # Non-unit clause-clause subsumptions  : 1470
% 0.17/0.69  # Unit Clause-clause subsumption calls : 3180
% 0.17/0.69  # Rewrite failures with RHS unbound    : 0
% 0.17/0.69  # BW rewrite match attempts            : 30
% 0.17/0.69  # BW rewrite match successes           : 23
% 0.17/0.69  # Condensation attempts                : 0
% 0.17/0.69  # Condensation successes               : 0
% 0.17/0.69  # Termbank termtop insertions          : 207609
% 0.17/0.69  
% 0.17/0.69  # -------------------------------------------------
% 0.17/0.69  # User time                : 0.223 s
% 0.17/0.69  # System time              : 0.007 s
% 0.17/0.69  # Total time               : 0.230 s
% 0.17/0.69  # Maximum resident set size: 2524 pages
% 0.17/0.69  
% 0.17/0.69  # -------------------------------------------------
% 0.17/0.69  # User time                : 1.107 s
% 0.17/0.69  # System time              : 0.028 s
% 0.17/0.69  # Total time               : 1.135 s
% 0.17/0.69  # Maximum resident set size: 1952 pages
% 0.17/0.69  % E---3.1 exiting
%------------------------------------------------------------------------------