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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SWW960+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 : n007.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 03:13:07 PM UTC 2026

% Result   : Theorem 0.19s 0.67s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  149 (  38 unt;   0 def)
%            Number of atoms       :  358 (  35 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  376 ( 167   ~; 164   |;  21   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;   8 con; 0-2 aty)
%            Number of variables   :  246 (  56 sgn 100   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax165,axiom,
    ! [X107,X108,X109,X110] :
      ( ( pred_attacker(tuple_client_B_in_2(X110))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X110,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X108))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X108,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X109))
        & pred_eq_bitstring_bitstring(name_Nb(X107),constr_adec(X109,name_skB)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax165) ).

fof(ax86,axiom,
    ! [X17,X18] : pred_eq_bitstring_bitstring(X17,X18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

fof(ax161,axiom,
    ! [X99,X100] :
      ( ( pred_attacker(tuple_client_A_in_2(X100))
        & pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X100,constr_pkey(name_skS)))) )
     => pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X99),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X100,constr_pkey(name_skS)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax161) ).

fof(ax119,axiom,
    ! [X61] :
      ( pred_attacker(X61)
     => pred_attacker(tuple_client_B_in_5(X61)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax119) ).

fof(ax128,axiom,
    ! [X70] :
      ( pred_attacker(tuple_client_A_out_3(X70))
     => pred_attacker(X70) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax128) ).

fof(ax166,axiom,
    ! [X111,X112,X113] :
      ( ( pred_attacker(tuple_key_retrieval_server_in_1(X113,X111))
        & pred_table(tuple_keys(X111,X112)) )
     => pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X111,X112),name_skS))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax166) ).

fof(ax102,axiom,
    ! [X34,X35] :
      ( ( pred_attacker(X35)
        & pred_attacker(X34) )
     => pred_attacker(tuple_key_retrieval_server_in_1(X34,X35)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).

fof(ax121,axiom,
    ! [X63] :
      ( pred_attacker(X63)
     => pred_attacker(tuple_client_B_in_3(X63)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax121) ).

fof(ax162,axiom,
    ! [X101,X102,X103] :
      ( ( pred_attacker(tuple_client_A_in_2(X103))
        & pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X103,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_A_in_4(X102))
        & pred_eq_bitstring_bitstring(name_Na(X101),constr_tuple_2_get_0x30(constr_adec(X102,name_skA))) )
     => pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X102,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X103,constr_pkey(name_skS)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax162) ).

fof(ax81,axiom,
    ! [X7,X8] : constr_checksign(constr_sign(X8,X7),constr_pkey(X7)) = X8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(ax123,axiom,
    ! [X65] :
      ( pred_attacker(X65)
     => pred_attacker(tuple_client_B_in_2(X65)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax123) ).

fof(ax126,axiom,
    ! [X68] :
      ( pred_attacker(tuple_client_A_out_5(X68))
     => pred_attacker(X68) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax126) ).

fof(ax82,axiom,
    ! [X9,X10] : constr_tuple_2_get_1_bitstring(tuple_2(X9,X10)) = X10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(ax101,axiom,
    ! [X33] :
      ( pred_attacker(tuple_key_retrieval_server_out_2(X33))
     => pred_attacker(X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).

fof(ax160,axiom,
    pred_attacker(tuple_client_A_out_1(name_A,name_I)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax160) ).

fof(ax167,axiom,
    ! [X114,X115] :
      ( ( pred_attacker(tuple_key_register_server_in_1(X114,X115))
        & X114 != name_A
        & X114 != name_B )
     => pred_table(tuple_keys(X114,X115)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax167) ).

fof(ax134,axiom,
    ! [X79] :
      ( pred_attacker(X79)
     => pred_attacker(tuple_client_A_in_2(X79)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).

fof(ax106,axiom,
    ! [X42,X43] :
      ( pred_attacker(tuple_key_register_server_in_1(X42,X43))
     => pred_attacker(X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).

fof(ax105,axiom,
    ! [X40,X41] :
      ( ( pred_attacker(X41)
        & pred_attacker(X40) )
     => pred_attacker(tuple_key_register_server_in_1(X40,X41)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).

fof(ax113,axiom,
    ! [X52] :
      ( pred_attacker(tuple_client_B_out_6(X52))
     => pred_attacker(X52) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax113) ).

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(ax138,axiom,
    ! [X85,X86] :
      ( ( pred_attacker(X86)
        & pred_attacker(X85) )
     => pred_attacker(constr_adec(X85,X86)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax138) ).

fof(ax78,axiom,
    ! [X1,X2] : constr_adec(constr_aenc(X2,constr_pkey(X1)),X1) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(ax93,axiom,
    ! [X25] :
      ( pred_attacker(X25)
     => pred_attacker(constr_pkey(X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).

fof(ax164,axiom,
    ! [X104,X105,X106] :
      ( ( pred_attacker(tuple_client_B_in_2(X106))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X106,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X105))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X105,name_skB))) )
     => pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X105,name_skB)),name_Nb(X104)),constr_tuple_2_get_1_bitstring(constr_checksign(X106,constr_pkey(name_skS)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax164) ).

fof(ax145,axiom,
    ! [X89,X90] :
      ( pred_attacker(tuple_2(X89,X90))
     => pred_attacker(X89) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax145) ).

fof(ax155,axiom,
    pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax155) ).

fof(ax152,axiom,
    pred_attacker(name_A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax152) ).

fof(ax132,axiom,
    ! [X77] :
      ( pred_attacker(X77)
     => pred_attacker(tuple_client_A_in_4(X77)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).

fof(ax115,axiom,
    ! [X54] :
      ( pred_attacker(tuple_client_B_out_4(X54))
     => pred_attacker(X54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax115) ).

fof(co0,conjecture,
    ! [X116] : pred_attacker(tuple_2(name_Nb(X116),name_objective)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

fof(ax144,axiom,
    ! [X87,X88] :
      ( ( pred_attacker(X88)
        & pred_attacker(X87) )
     => pred_attacker(tuple_2(X87,X88)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax144) ).

fof(c_0_33,plain,
    ! [X138,X139,X140,X141] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X141))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X141,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X139))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X139,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X140))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X138),constr_adec(X140,name_skB)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax165])])]) ).

fof(c_0_34,plain,
    ! [X168,X169] : pred_eq_bitstring_bitstring(X168,X169),
    inference(variable_rename,[status(thm)],[ax86]) ).

fof(c_0_35,plain,
    ! [X145,X146] :
      ( pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X145),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X146,constr_pkey(name_skS))))))
      | ~ pred_attacker(tuple_client_A_in_2(X146))
      | ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X146,constr_pkey(name_skS)))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax161])])]) ).

cnf(c_0_36,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_adec(X3,name_skB)))
    | ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_37,plain,
    pred_eq_bitstring_bitstring(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_38,plain,
    ! [X186] :
      ( pred_attacker(tuple_client_B_in_5(X186))
      | ~ pred_attacker(X186) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax119])])]) ).

fof(c_0_39,plain,
    ! [X207] :
      ( pred_attacker(X207)
      | ~ pred_attacker(tuple_client_A_out_3(X207)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax128])])]) ).

cnf(c_0_40,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_aenc(tuple_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_35]) ).

fof(c_0_41,plain,
    ! [X135,X136,X137] :
      ( pred_attacker(tuple_key_retrieval_server_out_2(constr_sign(tuple_2(X135,X136),name_skS)))
      | ~ pred_attacker(tuple_key_retrieval_server_in_1(X137,X135))
      | ~ pred_table(tuple_keys(X135,X136)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax166])])]) ).

fof(c_0_42,plain,
    ! [X178,X179] :
      ( pred_attacker(tuple_key_retrieval_server_in_1(X178,X179))
      | ~ pred_attacker(X179)
      | ~ pred_attacker(X178) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax102])])]) ).

cnf(c_0_43,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X3))
    | ~ pred_attacker(tuple_client_B_in_3(X2))
    | ~ pred_attacker(tuple_client_B_in_5(X1))
    | 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_36,c_0_37]),c_0_37]),c_0_37])]) ).

cnf(c_0_44,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_in_5(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_45,plain,
    ! [X170] :
      ( pred_attacker(tuple_client_B_in_3(X170))
      | ~ pred_attacker(X170) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax121])])]) ).

fof(c_0_46,plain,
    ! [X147,X148,X149] :
      ( pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X148,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X149,constr_pkey(name_skS))))))
      | ~ pred_attacker(tuple_client_A_in_2(X149))
      | ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X149,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_A_in_4(X148))
      | ~ pred_eq_bitstring_bitstring(name_Na(X147),constr_tuple_2_get_0x30(constr_adec(X148,name_skA))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax162])])]) ).

cnf(c_0_47,plain,
    ( ~ pred_attacker(tuple_client_A_out_3(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_48,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(X2))
    | pred_attacker(tuple_client_A_out_3(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_37])]) ).

fof(c_0_49,plain,
    ! [X159,X160] : constr_checksign(constr_sign(X160,X159),constr_pkey(X159)) = X160,
    inference(variable_rename,[status(thm)],[ax81]) ).

cnf(c_0_50,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_41]) ).

cnf(c_0_51,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_key_retrieval_server_in_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,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_43,c_0_44]) ).

cnf(c_0_53,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_in_3(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_54,plain,
    ! [X166] :
      ( pred_attacker(tuple_client_B_in_2(X166))
      | ~ pred_attacker(X166) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax123])])]) ).

fof(c_0_55,plain,
    ! [X211] :
      ( pred_attacker(X211)
      | ~ pred_attacker(tuple_client_A_out_5(X211)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax126])])]) ).

cnf(c_0_56,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(X3))
    | ~ pred_eq_bitstring_bitstring(name_I,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_A_in_4(X2))
    | ~ pred_eq_bitstring_bitstring(name_Na(X1),constr_tuple_2_get_0x30(constr_adec(X2,name_skA)))
    | pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X3,constr_pkey(name_skS)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_57,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(X2))
    | pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_58,plain,
    constr_checksign(constr_sign(X1,X2),constr_pkey(X2)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

fof(c_0_59,plain,
    ! [X118,X119] : constr_tuple_2_get_1_bitstring(tuple_2(X118,X119)) = X119,
    inference(variable_rename,[status(thm)],[ax82]) ).

fof(c_0_60,plain,
    ! [X173] :
      ( pred_attacker(X173)
      | ~ pred_attacker(tuple_key_retrieval_server_out_2(X173)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax101])])]) ).

cnf(c_0_61,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_50,c_0_51]) ).

cnf(c_0_62,plain,
    pred_attacker(tuple_client_A_out_1(name_A,name_I)),
    inference(split_conjunct,[status(thm)],[ax160]) ).

fof(c_0_63,plain,
    ! [X114,X115] :
      ( ( pred_attacker(tuple_key_register_server_in_1(X114,X115))
        & X114 != name_A
        & X114 != name_B )
     => pred_table(tuple_keys(X114,X115)) ),
    inference(fof_simplification,[status(thm)],[ax167]) ).

cnf(c_0_64,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_52,c_0_53]) ).

cnf(c_0_65,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_in_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_66,plain,
    ( ~ pred_attacker(tuple_client_A_out_5(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_67,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(X2))
    | ~ pred_attacker(tuple_client_A_in_4(X1))
    | pred_attacker(tuple_client_A_out_5(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_37]),c_0_37])]) ).

cnf(c_0_68,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS)))
    | pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),constr_tuple_2_get_1_bitstring(X2))) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_69,plain,
    constr_tuple_2_get_1_bitstring(tuple_2(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

fof(c_0_70,plain,
    ! [X208] :
      ( pred_attacker(tuple_client_A_in_2(X208))
      | ~ pred_attacker(X208) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax134])])]) ).

cnf(c_0_71,plain,
    ( ~ pred_attacker(tuple_key_retrieval_server_out_2(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_72,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_61,c_0_62]) ).

fof(c_0_73,plain,
    ! [X142,X143] :
      ( pred_table(tuple_keys(X142,X143))
      | ~ pred_attacker(tuple_key_register_server_in_1(X142,X143))
      | X142 = name_A
      | X142 = name_B ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).

fof(c_0_74,plain,
    ! [X202,X203] :
      ( pred_attacker(X202)
      | ~ pred_attacker(tuple_key_register_server_in_1(X202,X203)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax106])])]) ).

cnf(c_0_75,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_64,c_0_65]) ).

cnf(c_0_76,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(X2))
    | ~ pred_attacker(tuple_client_A_in_4(X1))
    | pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS))))) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_77,plain,
    ( ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X3,X2),name_skS)))
    | pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_78,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_A_in_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_79,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_71,c_0_72]) ).

cnf(c_0_80,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_73]) ).

cnf(c_0_81,plain,
    ( ~ pred_attacker(tuple_key_register_server_in_1(X1,X2))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_82,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_62]) ).

cnf(c_0_83,plain,
    ( ~ pred_attacker(tuple_client_A_in_4(X1))
    | ~ pred_attacker(tuple_client_A_in_2(constr_sign(X2,name_skS)))
    | pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),constr_tuple_2_get_1_bitstring(X2))) ),
    inference(spm,[status(thm)],[c_0_76,c_0_58]) ).

cnf(c_0_84,plain,
    ( ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS))
    | pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2)) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_85,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_79,c_0_80]),c_0_81]) ).

fof(c_0_86,plain,
    ! [X200,X201] :
      ( pred_attacker(tuple_key_register_server_in_1(X200,X201))
      | ~ pred_attacker(X201)
      | ~ pred_attacker(X200) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax105])])]) ).

fof(c_0_87,plain,
    ! [X185] :
      ( pred_attacker(X185)
      | ~ pred_attacker(tuple_client_B_out_6(X185)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax113])])]) ).

cnf(c_0_88,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_62]) ).

fof(c_0_89,plain,
    name_A != name_objective,
    inference(fof_simplification,[status(thm)],[ax53]) ).

fof(c_0_90,plain,
    name_B != name_objective,
    inference(fof_simplification,[status(thm)],[ax59]) ).

cnf(c_0_91,plain,
    ( ~ pred_attacker(tuple_client_A_in_4(X1))
    | ~ pred_attacker(tuple_client_A_in_2(constr_sign(tuple_2(X3,X2),name_skS)))
    | pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_69]) ).

fof(c_0_92,plain,
    ! [X164,X165] :
      ( pred_attacker(constr_adec(X164,X165))
      | ~ pred_attacker(X165)
      | ~ pred_attacker(X164) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax138])])]) ).

fof(c_0_93,plain,
    ! [X155,X156] : constr_adec(constr_aenc(X156,constr_pkey(X155)),X155) = X156,
    inference(variable_rename,[status(thm)],[ax78]) ).

cnf(c_0_94,plain,
    ( ~ pred_attacker(tuple_key_register_server_in_1(X1,X3))
    | pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X3))
    | X1 = name_A
    | X1 = name_B ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_95,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_key_register_server_in_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_96,plain,
    ( ~ pred_attacker(tuple_client_B_out_6(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_97,plain,
    pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(spm,[status(thm)],[c_0_88,c_0_62]) ).

fof(c_0_98,plain,
    name_A != name_objective,
    inference(fof_nnf,[status(thm)],[c_0_89]) ).

fof(c_0_99,plain,
    name_B != name_objective,
    inference(fof_nnf,[status(thm)],[c_0_90]) ).

cnf(c_0_100,plain,
    ( ~ pred_attacker(tuple_client_A_in_4(X1))
    | ~ pred_attacker(constr_sign(tuple_2(X3,X2),name_skS))
    | pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2)) ),
    inference(spm,[status(thm)],[c_0_91,c_0_78]) ).

cnf(c_0_101,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(constr_adec(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_102,plain,
    constr_adec(constr_aenc(X1,constr_pkey(X2)),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_103,plain,
    ( ~ pred_attacker(X1)
    | ~ pred_attacker(X3)
    | pred_attacker(constr_aenc(tuple_2(name_Na(X2),name_A),X3))
    | X1 = name_B
    | X1 = name_A ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_104,plain,
    pred_attacker(name_objective),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_105,plain,
    name_A != name_objective,
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_106,plain,
    name_B != name_objective,
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

fof(c_0_107,plain,
    ! [X163] :
      ( pred_attacker(constr_pkey(X163))
      | ~ pred_attacker(X163) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])]) ).

fof(c_0_108,plain,
    ! [X132,X133,X134] :
      ( pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X133,name_skB)),name_Nb(X132)),constr_tuple_2_get_1_bitstring(constr_checksign(X134,constr_pkey(name_skS))))))
      | ~ pred_attacker(tuple_client_B_in_2(X134))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X134,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X133))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X133,name_skB))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax164])])]) ).

cnf(c_0_109,plain,
    ( ~ pred_attacker(tuple_client_A_in_4(X2))
    | ~ pred_attacker(tuple_key_register_server_in_1(X1,X3))
    | pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),X3))
    | X1 = name_A
    | X1 = name_B ),
    inference(spm,[status(thm)],[c_0_100,c_0_85]) ).

cnf(c_0_110,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(constr_aenc(X1,constr_pkey(X2)))
    | pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_111,plain,
    ( ~ pred_attacker(X2)
    | pred_attacker(constr_aenc(tuple_2(name_Na(X1),name_A),X2)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106]) ).

cnf(c_0_112,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(constr_pkey(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_113,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_adec(X1,name_skB)))
    | pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X3)),constr_tuple_2_get_1_bitstring(constr_checksign(X2,constr_pkey(name_skS)))))) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_114,plain,
    ( ~ pred_attacker(X1)
    | ~ pred_attacker(X3)
    | ~ pred_attacker(tuple_client_A_in_4(X2))
    | pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X2,name_skA)),X3))
    | X1 = name_B
    | X1 = name_A ),
    inference(spm,[status(thm)],[c_0_109,c_0_95]) ).

fof(c_0_115,plain,
    ! [X128,X129] :
      ( pred_attacker(X128)
      | ~ pred_attacker(tuple_2(X128,X129)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax145])])]) ).

cnf(c_0_116,plain,
    ( ~ pred_attacker(X2)
    | pred_attacker(tuple_2(name_Na(X1),name_A)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).

cnf(c_0_117,plain,
    ( ~ pred_attacker(tuple_client_B_in_2(X3))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(constr_checksign(X3,constr_pkey(name_skS)))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_37]),c_0_37])]) ).

cnf(c_0_118,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(tuple_client_A_in_4(X1))
    | pred_attacker(constr_aenc(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA)),X2)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_104]),c_0_105]),c_0_106]) ).

cnf(c_0_119,plain,
    ( ~ pred_attacker(tuple_2(X1,X2))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_120,plain,
    pred_attacker(tuple_2(name_Na(X1),name_A)),
    inference(spm,[status(thm)],[c_0_116,c_0_62]) ).

cnf(c_0_121,plain,
    ( ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(tuple_client_B_in_2(constr_sign(X3,name_skS)))
    | pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_tuple_2_get_1_bitstring(X3)))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_58]) ).

cnf(c_0_122,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(tuple_client_A_in_4(X1))
    | pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_118]),c_0_112]) ).

cnf(c_0_123,plain,
    pred_attacker(name_Na(X1)),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_124,plain,
    ( ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(tuple_client_B_in_2(constr_sign(tuple_2(X4,X3),name_skS)))
    | pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),X3))) ),
    inference(spm,[status(thm)],[c_0_121,c_0_69]) ).

cnf(c_0_125,plain,
    pred_table(tuple_keys(name_A,constr_pkey(name_skA))),
    inference(split_conjunct,[status(thm)],[ax155]) ).

cnf(c_0_126,plain,
    pred_attacker(name_A),
    inference(split_conjunct,[status(thm)],[ax152]) ).

cnf(c_0_127,plain,
    ( ~ pred_attacker(tuple_client_A_in_4(X1))
    | pred_attacker(constr_tuple_2_get_1_bitstring(constr_adec(X1,name_skA))) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

fof(c_0_128,plain,
    ! [X212] :
      ( pred_attacker(tuple_client_A_in_4(X212))
      | ~ pred_attacker(X212) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax132])])]) ).

fof(c_0_129,plain,
    ! [X154] :
      ( pred_attacker(X154)
      | ~ pred_attacker(tuple_client_B_out_4(X154)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax115])])]) ).

cnf(c_0_130,plain,
    ( ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(constr_sign(tuple_2(X4,X3),name_skS))
    | pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),X3))) ),
    inference(spm,[status(thm)],[c_0_124,c_0_65]) ).

cnf(c_0_131,plain,
    pred_attacker(constr_sign(tuple_2(name_A,constr_pkey(name_skA)),name_skS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_125]),c_0_126])]) ).

fof(c_0_132,negated_conjecture,
    ~ ! [X116] : pred_attacker(tuple_2(name_Nb(X116),name_objective)),
    inference(assume_negation,[status(cth)],[co0]) ).

cnf(c_0_133,plain,
    ( ~ pred_attacker(tuple_client_A_in_4(constr_aenc(X1,constr_pkey(name_skA))))
    | pred_attacker(constr_tuple_2_get_1_bitstring(X1)) ),
    inference(spm,[status(thm)],[c_0_127,c_0_102]) ).

cnf(c_0_134,plain,
    ( ~ pred_attacker(X1)
    | pred_attacker(tuple_client_A_in_4(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_135,plain,
    ( ~ pred_attacker(tuple_client_B_out_4(X1))
    | pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_136,plain,
    ( ~ pred_attacker(tuple_client_B_in_3(X1))
    | pred_attacker(tuple_client_B_out_4(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_pkey(name_skA)))) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

fof(c_0_137,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_132])])])]) ).

fof(c_0_138,plain,
    ! [X126,X127] :
      ( pred_attacker(tuple_2(X126,X127))
      | ~ pred_attacker(X127)
      | ~ pred_attacker(X126) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax144])])]) ).

cnf(c_0_139,plain,
    ( ~ pred_attacker(constr_aenc(X1,constr_pkey(name_skA)))
    | pred_attacker(constr_tuple_2_get_1_bitstring(X1)) ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_140,plain,
    ( ~ pred_attacker(tuple_client_B_in_3(X1))
    | pred_attacker(constr_aenc(tuple_2(constr_tuple_2_get_0x30_bitstring(constr_adec(X1,name_skB)),name_Nb(X2)),constr_pkey(name_skA))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_141,negated_conjecture,
    ~ pred_attacker(tuple_2(name_Nb(esk1_0),name_objective)),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_142,plain,
    ( ~ pred_attacker(X2)
    | ~ pred_attacker(X1)
    | pred_attacker(tuple_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_143,plain,
    ( ~ pred_attacker(tuple_client_B_in_3(X2))
    | pred_attacker(name_Nb(X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_69]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ pred_attacker(name_objective)
    | ~ pred_attacker(name_Nb(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_145,plain,
    ( ~ pred_attacker(X2)
    | pred_attacker(name_Nb(X1)) ),
    inference(spm,[status(thm)],[c_0_143,c_0_53]) ).

cnf(c_0_146,negated_conjecture,
    ~ pred_attacker(name_Nb(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_104])]) ).

cnf(c_0_147,plain,
    pred_attacker(name_Nb(X1)),
    inference(spm,[status(thm)],[c_0_145,c_0_123]) ).

cnf(c_0_148,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW960+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.53  % Computer : n007.cluster.edu
% 0.11/0.53  % Model    : x86_64 x86_64
% 0.11/0.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53  % Memory   : 8046.5625MB
% 0.11/0.53  % OS       : Linux 6.8.0-71-generic
% 0.11/0.53  % CPULimit : 300
% 0.11/0.53  % WCLimit  : 300
% 0.11/0.53  % DateTime : Mon Sep 21 10:18:51 UTC 2026
% 0.11/0.53  % CPUTime  : 
% 0.11/0.53  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.58  Running first-order theorem proving
% 0.16/0.58  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
% 0.19/0.67  % Version: 3.5.1
% 0.19/0.67  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.67  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.67  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.67  % Starting new_bool_1 with 300s (1) cores
% 0.19/0.67  % Starting sh5l with 300s (1) cores
% 0.19/0.67  % sh5l with pid 830820 completed with status 0
% 0.19/0.67  % Result found by sh5l
% 0.19/0.67  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.67  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.67  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.67  % Starting new_bool_1 with 300s (1) cores
% 0.19/0.67  % Starting sh5l with 300s (1) cores
% 0.19/0.67  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.67  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.67  % Search class: FGUSM-FFMM21-MFFFFFNN
% 0.19/0.67  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.67  % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.67  % SubtermCWHack with pid 830827 completed with status 0
% 0.19/0.67  % Result found by SubtermCWHack
% 0.19/0.67  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.67  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.67  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.67  % Starting new_bool_1 with 300s (1) cores
% 0.19/0.67  % Starting sh5l with 300s (1) cores
% 0.19/0.67  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.67  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.67  % Search class: FGUSM-FFMM21-MFFFFFNN
% 0.19/0.67  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.67  % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.67  % Preprocessing time       : 0.003 s
% 0.19/0.67  
% 0.19/0.67  % Proof found!
% 0.19/0.67  % SZS status Theorem
% 0.19/0.67  % SZS output start CNFRefutation
% See solution above
% 0.19/0.67  % Parsed axioms                        : 169
% 0.19/0.67  % Removed by relevancy pruning/SinE    : 9
% 0.19/0.67  % Initial clauses                      : 160
% 0.19/0.67  % Removed in clause preprocessing      : 0
% 0.19/0.67  % Initial clauses in saturation        : 160
% 0.19/0.67  % Processed clauses                    : 597
% 0.19/0.67  % ...of these trivial                  : 7
% 0.19/0.67  % ...subsumed                          : 157
% 0.19/0.67  % ...remaining for further processing  : 433
% 0.19/0.67  % Other redundant clauses eliminated   : 0
% 0.19/0.67  % Clauses deleted for lack of memory   : 0
% 0.19/0.67  % Backward-subsumed                    : 82
% 0.19/0.67  % Backward-rewritten                   : 5
% 0.19/0.67  % Generated clauses                    : 3354
% 0.19/0.67  % ...of the previous two non-redundant : 3256
% 0.19/0.67  % ...aggressively subsumed             : 0
% 0.19/0.67  % Contextual simplify-reflections      : 5
% 0.19/0.67  % Paramodulations                      : 3354
% 0.19/0.67  % Factorizations                       : 0
% 0.19/0.67  % NegExts                              : 0
% 0.19/0.67  % Equation resolutions                 : 0
% 0.19/0.67  % Disequality decompositions           : 0
% 0.19/0.67  % Total rewrite steps                  : 168
% 0.19/0.67  % ...of those cached                   : 132
% 0.19/0.67  % Propositional unsat checks           : 0
% 0.19/0.67  %    Propositional check models        : 0
% 0.19/0.67  %    Propositional check unsatisfiable : 0
% 0.19/0.67  %    Propositional clauses             : 0
% 0.19/0.67  %    Propositional clauses after purity: 0
% 0.19/0.67  %    Propositional unsat core size     : 0
% 0.19/0.67  %    Propositional preprocessing time  : 0.000
% 0.19/0.67  %    Propositional encoding time       : 0.000
% 0.19/0.67  %    Propositional solver time         : 0.000
% 0.19/0.67  %    Success case prop preproc time    : 0.000
% 0.19/0.67  %    Success case prop encoding time   : 0.000
% 0.19/0.67  %    Success case prop solver time     : 0.000
% 0.19/0.67  % Current number of processed clauses  : 346
% 0.19/0.67  %    Positive orientable unit clauses  : 55
% 0.19/0.67  %    Positive unorientable unit clauses: 0
% 0.19/0.67  %    Negative unit clauses             : 80
% 0.19/0.67  %    Non-unit-clauses                  : 211
% 0.19/0.67  % Current number of unprocessed clauses: 736
% 0.19/0.67  % ...number of literals in the above   : 3423
% 0.19/0.67  % Current number of archived formulas  : 0
% 0.19/0.67  % Current number of archived clauses   : 87
% 0.19/0.67  % Clause-clause subsumption calls (NU) : 36678
% 0.19/0.67  % Rec. Clause-clause subsumption calls : 29252
% 0.19/0.67  % Non-unit clause-clause subsumptions  : 230
% 0.19/0.67  % Unit Clause-clause subsumption calls : 982
% 0.19/0.67  % Rewrite failures with RHS unbound    : 0
% 0.19/0.67  % BW rewrite match attempts            : 113
% 0.19/0.67  % BW rewrite match successes           : 9
% 0.19/0.67  % Condensation attempts                : 0
% 0.19/0.67  % Condensation successes               : 0
% 0.19/0.67  % Termbank termtop insertions          : 55850
% 0.19/0.67  % Search garbage collected termcells   : 1152
% 0.19/0.67  
% 0.19/0.67  % -------------------------------------------------
% 0.19/0.67  % User time                : 0.069 s
% 0.19/0.67  % System time              : 0.006 s
% 0.19/0.67  % Total time               : 0.075 s
% 0.19/0.67  % Maximum resident set size: 4068 pages
% 0.19/0.67  
% 0.19/0.67  % -------------------------------------------------
% 0.19/0.67  % User time                : 0.073 s
% 0.19/0.67  % System time              : 0.011 s
% 0.19/0.67  % Total time               : 0.083 s
% 0.19/0.67  % Maximum resident set size: 4864 pages
% 0.19/0.67  % E exiting
%------------------------------------------------------------------------------