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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW964+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:11:28 PM UTC 2026

% Result   : Theorem 0.26s 0.70s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  137 (  39 unt;   0 def)
%            Number of atoms       :  315 (  41 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  319 ( 141   ~; 138   |;  18   &)
%                                         (   0 <=>;  22  =>;   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   :  250 (  60 sgn 112   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax188,axiom,
    ! [X185,X186] :
      ( ( pred_attacker(tuple_client_A_in_2(X186))
        & pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X186,constr_pkey(name_skS)))) )
     => 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/sandbox/benchmark/theBenchmark.p',ax188) ).

fof(ax95,axiom,
    ! [X50,X51] : pred_eq_bitstring_bitstring(X50,X51),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).

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/sandbox/benchmark/theBenchmark.p',ax87) ).

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

fof(ax80,axiom,
    ! [X5,X6] : constr_checksign(constr_sign(X6,X5),constr_pkey(X5)) = X6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(ax139,axiom,
    ! [X119] :
      ( pred_attacker(X119)
     => pred_attacker(tuple_client_B_in_5(X119)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).

fof(ax148,axiom,
    ! [X128] :
      ( pred_attacker(tuple_client_A_out_3(X128))
     => pred_attacker(X128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax148) ).

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

fof(ax114,axiom,
    ! [X70,X71] :
      ( ( pred_attacker(X71)
        & pred_attacker(X70) )
     => pred_attacker(tuple_key_retrieval_server_in_1(X70,X71)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax114) ).

fof(ax141,axiom,
    ! [X121] :
      ( pred_attacker(X121)
     => pred_attacker(tuple_client_B_in_3(X121)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).

fof(ax172,axiom,
    ! [X175,X176] :
      ( pred_attacker(tuple_2(X175,X176))
     => pred_attacker(X175) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax172) ).

fof(ax181,axiom,
    ! [X184] : pred_attacker(name_new0x2Dname(X184)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax181) ).

fof(ax143,axiom,
    ! [X123] :
      ( pred_attacker(X123)
     => pred_attacker(tuple_client_B_in_2(X123)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax143) ).

fof(ax89,axiom,
    ! [X36,X37] : constr_tuple_2_get_1_bitstring(tuple_2(X36,X37)) = X37,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).

fof(ax113,axiom,
    ! [X69] :
      ( pred_attacker(tuple_key_retrieval_server_out_2(X69))
     => pred_attacker(X69) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).

fof(ax194,axiom,
    ! [X200,X201] :
      ( ( pred_attacker(tuple_key_register_server_in_1(X200,X201))
        & X200 != name_A
        & X200 != name_B )
     => pred_table(tuple_keys(X200,X201)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax194) ).

fof(ax154,axiom,
    ! [X137] :
      ( pred_attacker(X137)
     => pred_attacker(tuple_client_A_in_2(X137)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax154) ).

fof(ax118,axiom,
    ! [X78,X79] :
      ( pred_attacker(tuple_key_register_server_in_1(X78,X79))
     => pred_attacker(X78) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax118) ).

fof(ax191,axiom,
    ! [X190,X191,X192] :
      ( ( pred_attacker(tuple_client_B_in_2(X192))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X192,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X191))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X191,name_skB))) )
     => 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/sandbox/benchmark/theBenchmark.p',ax191) ).

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/sandbox/benchmark/theBenchmark.p',ax86) ).

fof(ax117,axiom,
    ! [X76,X77] :
      ( ( pred_attacker(X77)
        & pred_attacker(X76) )
     => pred_attacker(tuple_key_register_server_in_1(X76,X77)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).

fof(ax133,axiom,
    ! [X110] :
      ( pred_attacker(tuple_client_B_out_6(X110))
     => pred_attacker(X110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax133) ).

fof(ax53,axiom,
    name_A != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

fof(ax59,axiom,
    name_B != name_objective,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

fof(ax135,axiom,
    ! [X112] :
      ( pred_attacker(tuple_client_B_out_4(X112))
     => pred_attacker(X112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).

fof(ax130,axiom,
    ! [X105,X106] :
      ( ( pred_attacker(X106)
        & pred_attacker(X105) )
     => pred_attacker(constr_ecb_dec_1(X105,X106)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax130) ).

fof(ax84,axiom,
    ! [X19,X20] : constr_ecb_dec_1(constr_ecb_enc_1(X20,constr_pkey(X19)),X19) = X20,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(ax169,axiom,
    ! [X167,X168,X169] :
      ( pred_attacker(tuple_3(X167,X168,X169))
     => pred_attacker(X168) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax169) ).

fof(ax105,axiom,
    ! [X61] :
      ( pred_attacker(X61)
     => pred_attacker(constr_pkey(X61)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).

fof(co0,conjecture,
    ! [X202] : pred_attacker(tuple_2(name_Nb(X202),name_objective)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

fof(ax171,axiom,
    ! [X173,X174] :
      ( ( pred_attacker(X174)
        & pred_attacker(X173) )
     => pred_attacker(tuple_2(X173,X174)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax171) ).

fof(c_0_31,plain,
    ! [X387,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))))))
      | ~ pred_attacker(tuple_client_A_in_2(X388))
      | ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X388,constr_pkey(name_skS)))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax188])])]) ).

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

fof(c_0_33,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]) ).

fof(c_0_34,plain,
    ! [X395,X396,X397,X398] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X398))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X398,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X396))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X396,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X397))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X395),constr_ecb_dec_1(X397,name_skB)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax192])])]) ).

cnf(c_0_35,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X1,constr_pkey(name_skS))))
    | 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)))))) ),
    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_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_33]) ).

fof(c_0_38,plain,
    ! [X207,X208] : constr_checksign(constr_sign(X208,X207),constr_pkey(X207)) = X208,
    inference(variable_rename,[status(thm)],[ax80]) ).

cnf(c_0_39,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X4))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X4,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_B_in_3(X3))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X3,name_skB)))
    | ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_ecb_dec_1(X2,name_skB))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_40,plain,
    ! [X321] :
      ( pred_attacker(tuple_client_B_in_5(X321))
      | ~ pred_attacker(X321) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax139])])]) ).

fof(c_0_41,plain,
    ! [X330] :
      ( pred_attacker(X330)
      | ~ pred_attacker(tuple_client_A_out_3(X330)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax148])])]) ).

cnf(c_0_42,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(X1))
    | 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))))))) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),c_0_37]) ).

cnf(c_0_43,plain,
    constr_checksign(constr_sign(X1,X2),constr_pkey(X2)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_44,plain,
    ! [X399,X400,X401] :
      ( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X399,X400),name_skS)))
      | ~ pred_attacker(tuple_key_retrieval_server_in_1(X401,X399))
      | ~ pred_table(tuple_keys(X399,X400)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax193])])]) ).

fof(c_0_45,plain,
    ! [X272,X273] :
      ( pred_attacker(tuple_key_retrieval_server_in_1(X272,X273))
      | ~ pred_attacker(X273)
      | ~ pred_attacker(X272) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax114])])]) ).

cnf(c_0_46,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X4))
    | ~ pred_attacker(tuple_client_B_in_3(X3))
    | ~ pred_attacker(tuple_client_B_in_5(X2))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_36]),c_0_36]),c_0_36])]) ).

cnf(c_0_47,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_in_5(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_48,plain,
    ! [X323] :
      ( pred_attacker(tuple_client_B_in_3(X323))
      | ~ pred_attacker(X323) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax141])])]) ).

fof(c_0_49,plain,
    ! [X377,X378] :
      ( pred_attacker(X377)
      | ~ pred_attacker(tuple_2(X377,X378)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax172])])]) ).

cnf(c_0_50,plain,
    ( ~ pred_attacker(tuple_client_A_out_3(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_51,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS)))
    | pred_attacker(tuple_client_A_out_3(tuple_2(constr_ecb_enc_1(name_Na(X1),constr_tuple_2_get_1_bitstring(X2)),constr_ecb_enc_1(name_A,constr_tuple_2_get_1_bitstring(X2))))) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_52,plain,
    ( ~ pred_attacker(tuple_key_retrieval_server_in_1(X3,X1))
    | ~ pred_table(tuple_keys(X1,X2))
    | pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS))) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_53,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_key_retrieval_server_in_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_54,plain,
    ! [X386] : pred_attacker(name_new0x2Dname(X386)),
    inference(variable_rename,[status(thm)],[ax181]) ).

cnf(c_0_55,plain,
    ( ~ pred_attacker(X3)
    | ~ pred_attacker(tuple_client_B_in_2(X2))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_56,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_in_3(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

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

cnf(c_0_58,plain,
    ( ~ pred_attacker(tuple_2(X1,X2))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_59,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS)))
    | pred_attacker(tuple_2(constr_ecb_enc_1(name_Na(X1),constr_tuple_2_get_1_bitstring(X2)),constr_ecb_enc_1(name_A,constr_tuple_2_get_1_bitstring(X2)))) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_60,plain,
    ! [X238,X239] : constr_tuple_2_get_1_bitstring(tuple_2(X238,X239)) = X239,
    inference(variable_rename,[status(thm)],[ax89]) ).

fof(c_0_61,plain,
    ! [X271] :
      ( pred_attacker(X271)
      | ~ pred_attacker(tuple_key_retrieval_server_out_2(X271)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax113])])]) ).

cnf(c_0_62,plain,
    ( ~ pred_attacker(X3)
    | ~ pred_attacker(X1)
    | ~ pred_table(tuple_keys(X1,X2))
    | pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS))) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_63,plain,
    pred_attacker(name_new0x2Dname(X1)),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

fof(c_0_64,plain,
    ! [X200,X201] :
      ( ( pred_attacker(tuple_key_register_server_in_1(X200,X201))
        & X200 != name_A
        & X200 != name_B )
     => pred_table(tuple_keys(X200,X201)) ),
    inference(fof_simplification,[status(thm)],[ax194]) ).

cnf(c_0_65,plain,
    ( ~ pred_attacker(X3)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(tuple_client_B_in_2(X1))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

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

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

cnf(c_0_68,plain,
    constr_tuple_2_get_1_bitstring(tuple_2(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_69,plain,
    ! [X339] :
      ( pred_attacker(tuple_client_A_in_2(X339))
      | ~ pred_attacker(X339) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax154])])]) ).

cnf(c_0_70,plain,
    ( ~ pred_attacker(tuple_key_retrieval_server_out_2(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_71,plain,
    ( ~ pred_attacker(X1)
    | ~ pred_table(tuple_keys(X1,X2))
    | pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X1,X2),name_skS))) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

fof(c_0_72,plain,
    ! [X402,X403] :
      ( pred_table(tuple_keys(X402,X403))
      | ~ pred_attacker(tuple_key_register_server_in_1(X402,X403))
      | X402 = name_A
      | X402 = name_B ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).

fof(c_0_73,plain,
    ! [X280,X281] :
      ( pred_attacker(X280)
      | ~ pred_attacker(tuple_key_register_server_in_1(X280,X281)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax118])])]) ).

cnf(c_0_74,plain,
    ( ~ pred_attacker(X3)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_75,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X3,X2),name_skS)))
    | pred_attacker(constr_ecb_enc_1(name_Na(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_76,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_A_in_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_77,plain,
    ( ~ pred_attacker(X1)
    | ~ pred_table(tuple_keys(X1,X2))
    | pred_attacker(constr_sign(tuple_2(X1,X2),name_skS)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_78,plain,
    ( ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
    | pred_table(tuple_keys(X1,X2))
    | X1 = name_A
    | X1 = name_B ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_79,plain,
    ( ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_80,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_63]) ).

fof(c_0_81,plain,
    ! [X392,X393,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))))))
      | ~ pred_attacker(tuple_client_B_in_2(X394))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X394,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X393))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X393,name_skB))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax191])])]) ).

fof(c_0_82,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]) ).

cnf(c_0_83,plain,
    ( ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS))
    | pred_attacker(constr_ecb_enc_1(name_Na(X1),X2)) ),
    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(constr_sign(tuple_2(X1,X2),name_skS))
    | X1 = name_B
    | X1 = name_A ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).

fof(c_0_85,plain,
    ! [X278,X279] :
      ( pred_attacker(tuple_key_register_server_in_1(X278,X279))
      | ~ pred_attacker(X279)
      | ~ pred_attacker(X278) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax117])])]) ).

fof(c_0_86,plain,
    ! [X312] :
      ( pred_attacker(X312)
      | ~ pred_attacker(tuple_client_B_out_6(X312)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax133])])]) ).

cnf(c_0_87,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_80,c_0_63]) ).

fof(c_0_88,plain,
    name_A != name_objective,
    inference(fof_simplification,[status(thm)],[ax53]) ).

fof(c_0_89,plain,
    name_B != name_objective,
    inference(fof_simplification,[status(thm)],[ax59]) ).

fof(c_0_90,plain,
    ! [X314] :
      ( pred_attacker(X314)
      | ~ pred_attacker(tuple_client_B_out_4(X314)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax135])])]) ).

cnf(c_0_91,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X2))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,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)))
    | 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)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_92,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_82]) ).

fof(c_0_93,plain,
    ! [X307,X308] :
      ( pred_attacker(constr_ecb_dec_1(X307,X308))
      | ~ pred_attacker(X308)
      | ~ pred_attacker(X307) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax130])])]) ).

fof(c_0_94,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_95,plain,
    ( ~ pred_attacker(tuple_key_register_server_in_1(X1,X3))
    | pred_attacker(constr_ecb_enc_1(name_Na(X2),X3))
    | X1 = name_A
    | X1 = name_B ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_96,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_97,plain,
    ( ~ pred_attacker(tuple_client_B_out_6(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_98,plain,
    pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(spm,[status(thm)],[c_0_87,c_0_63]) ).

fof(c_0_99,plain,
    name_A != name_objective,
    inference(fof_nnf,[status(thm)],[c_0_88]) ).

fof(c_0_100,plain,
    name_B != name_objective,
    inference(fof_nnf,[status(thm)],[c_0_89]) ).

fof(c_0_101,plain,
    ! [X369,X370,X371] :
      ( pred_attacker(X370)
      | ~ pred_attacker(tuple_3(X369,X370,X371)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax169])])]) ).

cnf(c_0_102,plain,
    ( ~ pred_attacker(tuple_client_B_out_4(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_103,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X2))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | 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))))))) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_36]),c_0_36])]),c_0_92]) ).

cnf(c_0_104,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(constr_ecb_dec_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_105,plain,
    constr_ecb_dec_1(constr_ecb_enc_1(X1,constr_pkey(X2)),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_106,plain,
    ( ~ pred_attacker(X1)
    | ~ pred_attacker(X3)
    | pred_attacker(constr_ecb_enc_1(name_Na(X2),X3))
    | X1 = name_B
    | X1 = name_A ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_107,plain,
    pred_attacker(name_objective),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_108,plain,
    name_A != name_objective,
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_109,plain,
    name_B != name_objective,
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

fof(c_0_110,plain,
    ! [X263] :
      ( pred_attacker(constr_pkey(X263))
      | ~ pred_attacker(X263) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax105])])]) ).

cnf(c_0_111,plain,
    ( ~ pred_attacker(tuple_3(X1,X2,X3))
    | pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_112,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X2))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | 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)))))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_113,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(constr_ecb_enc_1(X1,constr_pkey(X2)))
    | pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_114,plain,
    ( ~ pred_attacker(X2)
    | pred_attacker(constr_ecb_enc_1(name_Na(X1),X2)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109]) ).

cnf(c_0_115,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(constr_pkey(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_116,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X2))
    | ~ pred_attacker(tuple_client_B_in_3(X3))
    | pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_117,plain,
    ( ~ pred_attacker(X2)
    | pred_attacker(name_Na(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).

cnf(c_0_118,plain,
    ( ~ pred_attacker(X3)
    | ~ pred_attacker(tuple_client_B_in_2(X2))
    | pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))) ),
    inference(spm,[status(thm)],[c_0_116,c_0_56]) ).

cnf(c_0_119,plain,
    pred_attacker(name_Na(X1)),
    inference(spm,[status(thm)],[c_0_117,c_0_63]) ).

cnf(c_0_120,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X2))
    | pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_121,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(constr_sign(X2,name_skS)))
    | pred_attacker(constr_ecb_enc_1(name_Nb(X1),constr_tuple_2_get_1_bitstring(X2))) ),
    inference(spm,[status(thm)],[c_0_120,c_0_43]) ).

cnf(c_0_122,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X3,X2),name_skS)))
    | pred_attacker(constr_ecb_enc_1(name_Nb(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_121,c_0_68]) ).

cnf(c_0_123,plain,
    ( ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS))
    | pred_attacker(constr_ecb_enc_1(name_Nb(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_122,c_0_66]) ).

fof(c_0_124,negated_conjecture,
    ~ ! [X202] : pred_attacker(tuple_2(name_Nb(X202),name_objective)),
    inference(assume_negation,[status(cth)],[co0]) ).

cnf(c_0_125,plain,
    ( ~ pred_attacker(tuple_key_register_server_in_1(X1,X3))
    | pred_attacker(constr_ecb_enc_1(name_Nb(X2),X3))
    | X1 = name_A
    | X1 = name_B ),
    inference(spm,[status(thm)],[c_0_123,c_0_84]) ).

fof(c_0_126,negated_conjecture,
    ~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])])])]) ).

fof(c_0_127,plain,
    ! [X375,X376] :
      ( pred_attacker(tuple_2(X375,X376))
      | ~ pred_attacker(X376)
      | ~ pred_attacker(X375) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax171])])]) ).

cnf(c_0_128,plain,
    ( ~ pred_attacker(X1)
    | ~ pred_attacker(X3)
    | pred_attacker(constr_ecb_enc_1(name_Nb(X2),X3))
    | X1 = name_B
    | X1 = name_A ),
    inference(spm,[status(thm)],[c_0_125,c_0_96]) ).

cnf(c_0_129,negated_conjecture,
    ~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_130,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_131,plain,
    ( ~ pred_attacker(X2)
    | pred_attacker(constr_ecb_enc_1(name_Nb(X1),X2)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_107]),c_0_108]),c_0_109]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ pred_attacker(name_objective)
    | ~ pred_attacker(name_Nb(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_133,plain,
    ( ~ pred_attacker(X2)
    | pred_attacker(name_Nb(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_131]),c_0_115]) ).

cnf(c_0_134,negated_conjecture,
    ~ pred_attacker(name_Nb(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_107])]) ).

cnf(c_0_135,plain,
    pred_attacker(name_Nb(X1)),
    inference(spm,[status(thm)],[c_0_133,c_0_119]) ).

cnf(c_0_136,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_135])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWW964+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44  % Computer : n002.cluster.edu
% 0.19/0.44  % Model    : x86_64 x86_64
% 0.19/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44  % Memory   : 8046.5625MB
% 0.19/0.44  % OS       : Linux 6.8.0-71-generic
% 0.19/0.44  % CPULimit : 300
% 0.19/0.44  % WCLimit  : 300
% 0.19/0.44  % DateTime : Mon Sep 21 10:23:16 UTC 2026
% 0.19/0.45  % CPUTime  : 
% 0.19/0.45  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.50  Running first-order theorem proving
% 0.19/0.50  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/0.70  % Version: 3.5.1
% 0.26/0.70  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.26/0.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.70  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.26/0.70  % Starting new_bool_3 with 300s (1) cores
% 0.26/0.70  % Starting new_bool_1 with 300s (1) cores
% 0.26/0.70  % Starting sh5l with 300s (1) cores
% 0.26/0.70  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3056909 completed with status 0
% 0.26/0.70  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.26/0.70  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.26/0.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.70  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.26/0.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.70  % No SInE strategy applied
% 0.26/0.70  % Search class: FGUSM-FFMM31-DFFFFFNN
% 0.26/0.70  % partial match(1): FGHSM-FFMM31-DFFFFFNN
% 0.26/0.70  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.70  % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.70  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.26/0.70  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 226s (1) cores
% 0.26/0.70  % Starting new_bool_3 with 226s (1) cores
% 0.26/0.70  % Starting new_bool_1 with 226s (1) cores
% 0.26/0.70  % SubtermCWHack with pid 3056916 completed with status 0
% 0.26/0.70  % Result found by SubtermCWHack
% 0.26/0.70  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.26/0.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.70  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.26/0.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.70  % No SInE strategy applied
% 0.26/0.70  % Search class: FGUSM-FFMM31-DFFFFFNN
% 0.26/0.70  % partial match(1): FGHSM-FFMM31-DFFFFFNN
% 0.26/0.70  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.70  % Starting SubtermCWHack with 136s (1) cores
% 0.26/0.70  % Preprocessing time       : 0.002 s
% 0.26/0.70  
% 0.26/0.70  % Proof found!
% 0.26/0.70  % SZS status Theorem
% 0.26/0.70  % SZS output start CNFRefutation
% See solution above
% 0.26/0.70  % Parsed axioms                        : 196
% 0.26/0.70  % Removed by relevancy pruning/SinE    : 0
% 0.26/0.70  % Initial clauses                      : 196
% 0.26/0.70  % Removed in clause preprocessing      : 4
% 0.26/0.70  % Initial clauses in saturation        : 192
% 0.26/0.70  % Processed clauses                    : 1003
% 0.26/0.70  % ...of these trivial                  : 0
% 0.26/0.70  % ...subsumed                          : 417
% 0.26/0.70  % ...remaining for further processing  : 586
% 0.26/0.70  % Other redundant clauses eliminated   : 0
% 0.26/0.70  % Clauses deleted for lack of memory   : 0
% 0.26/0.70  % Backward-subsumed                    : 268
% 0.26/0.70  % Backward-rewritten                   : 14
% 0.26/0.70  % Generated clauses                    : 9017
% 0.26/0.70  % ...of the previous two non-redundant : 8840
% 0.26/0.70  % ...aggressively subsumed             : 0
% 0.26/0.70  % Contextual simplify-reflections      : 37
% 0.26/0.70  % Paramodulations                      : 9017
% 0.26/0.70  % Factorizations                       : 0
% 0.26/0.70  % NegExts                              : 0
% 0.26/0.70  % Equation resolutions                 : 0
% 0.26/0.70  % Disequality decompositions           : 0
% 0.26/0.70  % Total rewrite steps                  : 272
% 0.26/0.70  % ...of those cached                   : 240
% 0.26/0.70  % Propositional unsat checks           : 0
% 0.26/0.70  %    Propositional check models        : 0
% 0.26/0.70  %    Propositional check unsatisfiable : 0
% 0.26/0.70  %    Propositional clauses             : 0
% 0.26/0.70  %    Propositional clauses after purity: 0
% 0.26/0.70  %    Propositional unsat core size     : 0
% 0.26/0.70  %    Propositional preprocessing time  : 0.000
% 0.26/0.70  %    Propositional encoding time       : 0.000
% 0.99/0.70  %    Propositional solver time         : 0.000
% 0.99/0.70  %    Success case prop preproc time    : 0.000
% 0.99/0.70  %    Success case prop encoding time   : 0.000
% 0.99/0.70  %    Success case prop solver time     : 0.000
% 0.99/0.70  % Current number of processed clauses  : 304
% 0.99/0.70  %    Positive orientable unit clauses  : 64
% 0.99/0.70  %    Positive unorientable unit clauses: 0
% 0.99/0.70  %    Negative unit clauses             : 82
% 0.99/0.70  %    Non-unit-clauses                  : 158
% 0.99/0.70  % Current number of unprocessed clauses: 1566
% 0.99/0.70  % ...number of literals in the above   : 7538
% 0.99/0.70  % Current number of archived formulas  : 0
% 0.99/0.70  % Current number of archived clauses   : 286
% 0.99/0.70  % Clause-clause subsumption calls (NU) : 72674
% 0.99/0.70  % Rec. Clause-clause subsumption calls : 52568
% 0.99/0.70  % Non-unit clause-clause subsumptions  : 559
% 0.99/0.70  % Unit Clause-clause subsumption calls : 1835
% 0.99/0.70  % Rewrite failures with RHS unbound    : 0
% 0.99/0.70  % BW rewrite match attempts            : 30
% 0.99/0.70  % BW rewrite match successes           : 14
% 0.99/0.70  % Condensation attempts                : 0
% 0.99/0.70  % Condensation successes               : 0
% 0.99/0.70  % Termbank termtop insertions          : 128683
% 0.99/0.70  % Search garbage collected termcells   : 1388
% 0.99/0.70  
% 0.99/0.70  % -------------------------------------------------
% 0.99/0.70  % User time                : 0.131 s
% 0.99/0.70  % System time              : 0.012 s
% 0.99/0.70  % Total time               : 0.143 s
% 0.99/0.70  % Maximum resident set size: 4156 pages
% 0.99/0.70  
% 0.99/0.70  % -------------------------------------------------
% 0.99/0.70  % User time                : 0.411 s
% 0.99/0.70  % System time              : 0.038 s
% 0.99/0.70  % Total time               : 0.449 s
% 0.99/0.70  % Maximum resident set size: 4864 pages
% 0.99/0.70  % E exiting
%------------------------------------------------------------------------------