TSTP Solution File: SWW958+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWW958+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 00:19:20 EDT 2023

% Result   : Theorem 8.02s 8.18s
% Output   : CNFRefutation 8.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  150 (  36 unt;  52 typ;   0 def)
%            Number of atoms       :  197 (  21 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  183 (  84   ~;  78   |;   7   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   43 (  30   >;  13   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   49 (  49 usr;  22 con; 0-2 aty)
%            Number of variables   :  142 (  14 sgn;  64   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    constr_CONST_0x30: $i ).

tff(decl_23,type,
    constr_CONST_1: $i ).

tff(decl_24,type,
    constr_CONST_2: $i ).

tff(decl_25,type,
    constr_CONST_3: $i ).

tff(decl_26,type,
    constr_CONST_4: $i ).

tff(decl_27,type,
    constr_ZERO: $i ).

tff(decl_28,type,
    name_A: $i ).

tff(decl_29,type,
    name_B: $i ).

tff(decl_30,type,
    name_C: $i ).

tff(decl_31,type,
    name_D: $i ).

tff(decl_32,type,
    name_Na: $i ).

tff(decl_33,type,
    name_Sa: $i ).

tff(decl_34,type,
    name_Sb: $i ).

tff(decl_35,type,
    name_Sc: $i ).

tff(decl_36,type,
    name_Sd: $i ).

tff(decl_37,type,
    name_c: $i ).

tff(decl_38,type,
    name_skA: $i ).

tff(decl_39,type,
    name_skB: $i ).

tff(decl_40,type,
    name_skC: $i ).

tff(decl_41,type,
    name_skD: $i ).

tff(decl_42,type,
    constr_pkey: $i > $i ).

tff(decl_43,type,
    constr_aenc: ( $i * $i ) > $i ).

tff(decl_44,type,
    constr_adec: ( $i * $i ) > $i ).

tff(decl_45,type,
    constr_neg: $i > $i ).

tff(decl_46,type,
    constr_add: ( $i * $i ) > $i ).

tff(decl_47,type,
    tuple_true: $i ).

tff(decl_48,type,
    pred_attacker: $i > $o ).

tff(decl_49,type,
    tuple_out_4: $i > $i ).

tff(decl_50,type,
    tuple_out_3: $i > $i ).

tff(decl_51,type,
    tuple_out_2: $i > $i ).

tff(decl_52,type,
    tuple_out_1: $i > $i ).

tff(decl_53,type,
    tuple_false: $i ).

tff(decl_54,type,
    tuple_client_D_out_4: ( $i * $i ) > $i ).

tff(decl_55,type,
    tuple_client_D_in_3: ( $i * $i ) > $i ).

tff(decl_56,type,
    tuple_client_D_in_2: $i > $i ).

tff(decl_57,type,
    tuple_client_D_in_1: $i > $i ).

tff(decl_58,type,
    tuple_client_C_out_4: ( $i * $i ) > $i ).

tff(decl_59,type,
    tuple_client_C_in_3: ( $i * $i ) > $i ).

tff(decl_60,type,
    tuple_client_C_in_2: $i > $i ).

tff(decl_61,type,
    tuple_client_C_in_1: $i > $i ).

tff(decl_62,type,
    tuple_client_B_out_4: ( $i * $i ) > $i ).

tff(decl_63,type,
    tuple_client_B_in_3: ( $i * $i ) > $i ).

tff(decl_64,type,
    tuple_client_B_in_2: $i > $i ).

tff(decl_65,type,
    tuple_client_B_in_1: $i > $i ).

tff(decl_66,type,
    tuple_client_A_out_5: $i > $i ).

tff(decl_67,type,
    tuple_client_A_out_3: ( $i * $i ) > $i ).

tff(decl_68,type,
    tuple_client_A_in_4: ( $i * $i ) > $i ).

tff(decl_69,type,
    tuple_client_A_in_2: $i > $i ).

tff(decl_70,type,
    tuple_client_A_in_1: $i > $i ).

tff(decl_71,type,
    pred_mess: ( $i * $i ) > $o ).

tff(decl_72,type,
    pred_equal: ( $i * $i ) > $o ).

tff(decl_73,type,
    name_new0x2Dname: $i > $i ).

fof(ax192,axiom,
    ! [X4] : constr_add(X4,constr_ZERO) = X4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax192) ).

fof(ax193,axiom,
    ! [X5,X6] : constr_add(X5,X6) = constr_add(X6,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax193) ).

fof(ax194,axiom,
    ! [X7,X8,X9] : constr_add(X7,constr_add(X8,X9)) = constr_add(constr_add(X7,X8),X9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax194) ).

fof(ax191,axiom,
    ! [X3] : constr_add(X3,constr_neg(X3)) = constr_ZERO,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax191) ).

fof(ax251,axiom,
    ! [X90,X91] :
      ( ( pred_attacker(X90)
        & pred_attacker(X91) )
     => pred_attacker(constr_add(X90,X91)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax251) ).

fof(ax271,axiom,
    ! [X98,X99] :
      ( ( pred_attacker(tuple_client_A_in_2(X98))
        & pred_attacker(tuple_client_A_in_1(X99)) )
     => pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X99))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax271) ).

fof(ax245,axiom,
    ! [X82] :
      ( pred_attacker(X82)
     => pred_attacker(tuple_client_A_in_2(X82)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax245) ).

fof(ax272,axiom,
    ! [X100,X101,X102] :
      ( ( pred_attacker(tuple_client_A_in_4(X101,X100))
        & pred_attacker(tuple_client_A_in_2(X101))
        & pred_attacker(tuple_client_A_in_1(X102)) )
     => pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X100,name_skA),constr_neg(name_Na)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax272) ).

fof(ax242,axiom,
    ! [X76,X77] :
      ( ( pred_attacker(X76)
        & pred_attacker(X77) )
     => pred_attacker(tuple_client_A_in_4(X76,X77)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax242) ).

fof(ax246,axiom,
    ! [X83] :
      ( pred_attacker(tuple_client_A_in_2(X83))
     => pred_attacker(X83) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax246) ).

fof(ax205,axiom,
    ! [X19] :
      ( pred_attacker(X19)
     => pred_attacker(constr_neg(X19)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax205) ).

fof(ax266,axiom,
    ! [X97] : pred_attacker(name_new0x2Dname(X97)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax266) ).

fof(ax250,axiom,
    ! [X88,X89] :
      ( ( pred_attacker(X88)
        & pred_attacker(X89) )
     => pred_attacker(constr_adec(X88,X89)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax250) ).

fof(ax190,axiom,
    ! [X1,X2] : constr_adec(constr_aenc(X2,constr_pkey(X1)),X1) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax190) ).

fof(ax241,axiom,
    ! [X74,X75] :
      ( pred_attacker(tuple_client_A_out_3(X74,X75))
     => pred_attacker(X75) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax241) ).

fof(ax247,axiom,
    ! [X84] :
      ( pred_attacker(X84)
     => pred_attacker(tuple_client_A_in_1(X84)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax247) ).

fof(ax196,axiom,
    ! [X10] :
      ( pred_attacker(X10)
     => pred_attacker(constr_pkey(X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax196) ).

fof(ax238,axiom,
    ! [X69] :
      ( pred_attacker(tuple_client_A_out_5(X69))
     => pred_attacker(X69) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax238) ).

fof(co0,conjecture,
    pred_attacker(name_Sa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

fof(ax204,axiom,
    ! [X18] :
      ( pred_attacker(tuple_out_1(X18))
     => pred_attacker(X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax204) ).

fof(ax249,axiom,
    ! [X86,X87] :
      ( ( pred_attacker(X86)
        & pred_attacker(X87) )
     => pred_attacker(constr_aenc(X86,X87)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax249) ).

fof(ax267,axiom,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax267) ).

fof(ax257,axiom,
    pred_attacker(constr_CONST_0x30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax257) ).

fof(c_0_23,plain,
    ! [X115] : constr_add(X115,constr_ZERO) = X115,
    inference(variable_rename,[status(thm)],[ax192]) ).

fof(c_0_24,plain,
    ! [X116,X117] : constr_add(X116,X117) = constr_add(X117,X116),
    inference(variable_rename,[status(thm)],[ax193]) ).

fof(c_0_25,plain,
    ! [X118,X119,X120] : constr_add(X118,constr_add(X119,X120)) = constr_add(constr_add(X118,X119),X120),
    inference(variable_rename,[status(thm)],[ax194]) ).

fof(c_0_26,plain,
    ! [X114] : constr_add(X114,constr_neg(X114)) = constr_ZERO,
    inference(variable_rename,[status(thm)],[ax191]) ).

cnf(c_0_27,plain,
    constr_add(X1,constr_ZERO) = X1,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,plain,
    constr_add(X1,X2) = constr_add(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,plain,
    constr_add(X1,constr_add(X2,X3)) = constr_add(constr_add(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,plain,
    constr_add(X1,constr_neg(X1)) = constr_ZERO,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    constr_add(constr_ZERO,X1) = X1,
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    constr_add(X1,constr_add(constr_neg(X1),X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_33,plain,
    constr_add(X1,constr_add(X2,constr_neg(constr_add(X1,X2)))) = constr_ZERO,
    inference(spm,[status(thm)],[c_0_30,c_0_29]) ).

fof(c_0_34,plain,
    ! [X201,X202] :
      ( ~ pred_attacker(X201)
      | ~ pred_attacker(X202)
      | pred_attacker(constr_add(X201,X202)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax251])]) ).

cnf(c_0_35,plain,
    constr_add(X1,constr_neg(constr_add(constr_neg(X2),X1))) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_27]) ).

cnf(c_0_36,plain,
    constr_neg(constr_neg(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_30]),c_0_27]) ).

fof(c_0_37,plain,
    ! [X209,X210] :
      ( ~ pred_attacker(tuple_client_A_in_2(X209))
      | ~ pred_attacker(tuple_client_A_in_1(X210))
      | pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X210))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax271])]) ).

fof(c_0_38,plain,
    ! [X193] :
      ( ~ pred_attacker(X193)
      | pred_attacker(tuple_client_A_in_2(X193)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax245])]) ).

fof(c_0_39,plain,
    ! [X211,X212,X213] :
      ( ~ pred_attacker(tuple_client_A_in_4(X212,X211))
      | ~ pred_attacker(tuple_client_A_in_2(X212))
      | ~ pred_attacker(tuple_client_A_in_1(X213))
      | pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X211,name_skA),constr_neg(name_Na)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax272])]) ).

fof(c_0_40,plain,
    ! [X187,X188] :
      ( ~ pred_attacker(X187)
      | ~ pred_attacker(X188)
      | pred_attacker(tuple_client_A_in_4(X187,X188)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax242])]) ).

fof(c_0_41,plain,
    ! [X194] :
      ( ~ pred_attacker(tuple_client_A_in_2(X194))
      | pred_attacker(X194) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax246])]) ).

cnf(c_0_42,plain,
    ( pred_attacker(constr_add(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,plain,
    constr_add(X1,constr_neg(constr_add(X2,X1))) = constr_neg(X2),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

fof(c_0_44,plain,
    ! [X130] :
      ( ~ pred_attacker(X130)
      | pred_attacker(constr_neg(X130)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax205])]) ).

cnf(c_0_45,plain,
    ( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X2)))
    | ~ pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(tuple_client_A_in_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,plain,
    ( pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_47,plain,
    ! [X208] : pred_attacker(name_new0x2Dname(X208)),
    inference(variable_rename,[status(thm)],[ax266]) ).

cnf(c_0_48,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X2,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(tuple_client_A_in_4(X1,X2))
    | ~ pred_attacker(tuple_client_A_in_2(X1))
    | ~ pred_attacker(tuple_client_A_in_1(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,plain,
    ( pred_attacker(tuple_client_A_in_4(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_50,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_in_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_51,plain,
    ( pred_attacker(constr_neg(X1))
    | ~ pred_attacker(constr_neg(constr_add(X1,X2)))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_52,plain,
    ( pred_attacker(constr_neg(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_53,plain,
    ! [X199,X200] :
      ( ~ pred_attacker(X199)
      | ~ pred_attacker(X200)
      | pred_attacker(constr_adec(X199,X200)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax250])]) ).

fof(c_0_54,plain,
    ! [X112,X113] : constr_adec(constr_aenc(X113,constr_pkey(X112)),X112) = X113,
    inference(variable_rename,[status(thm)],[ax190]) ).

fof(c_0_55,plain,
    ! [X185,X186] :
      ( ~ pred_attacker(tuple_client_A_out_3(X185,X186))
      | pred_attacker(X186) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax241])]) ).

cnf(c_0_56,plain,
    ( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
    | ~ pred_attacker(tuple_client_A_in_1(X1))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_57,plain,
    pred_attacker(name_new0x2Dname(X1)),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_58,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(tuple_client_A_in_2(X2))
    | ~ pred_attacker(tuple_client_A_in_1(X3))
    | ~ pred_attacker(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

fof(c_0_59,plain,
    ! [X195] :
      ( ~ pred_attacker(X195)
      | pred_attacker(tuple_client_A_in_1(X195)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax247])]) ).

cnf(c_0_60,plain,
    ( pred_attacker(constr_neg(X1))
    | ~ pred_attacker(constr_add(X1,X2))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_61,plain,
    ( pred_attacker(constr_adec(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_62,plain,
    constr_adec(constr_aenc(X1,constr_pkey(X2)),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_63,plain,
    ( pred_attacker(X2)
    | ~ pred_attacker(tuple_client_A_out_3(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_64,plain,
    ( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
    | ~ pred_attacker(tuple_client_A_in_1(X1)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_65,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(tuple_client_A_in_1(X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_46]) ).

cnf(c_0_66,plain,
    ( pred_attacker(tuple_client_A_in_1(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_67,plain,
    ( pred_attacker(constr_neg(X1))
    | ~ pred_attacker(constr_add(X2,X1))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_28]) ).

cnf(c_0_68,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_aenc(X1,constr_pkey(X2)))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_69,plain,
    ( pred_attacker(constr_aenc(constr_add(name_Na,name_Sa),X1))
    | ~ pred_attacker(tuple_client_A_in_1(X1)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

fof(c_0_70,plain,
    ! [X121] :
      ( ~ pred_attacker(X121)
      | pred_attacker(constr_pkey(X121)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax196])]) ).

cnf(c_0_71,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_72,plain,
    ( pred_attacker(constr_add(X1,X2))
    | ~ pred_attacker(constr_neg(X1))
    | ~ pred_attacker(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_43]),c_0_36]) ).

cnf(c_0_73,plain,
    ( pred_attacker(constr_add(name_Na,name_Sa))
    | ~ pred_attacker(tuple_client_A_in_1(constr_pkey(X1)))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_74,plain,
    ( pred_attacker(constr_pkey(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

fof(c_0_75,plain,
    ! [X180] :
      ( ~ pred_attacker(tuple_client_A_out_5(X180))
      | pred_attacker(X180) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax238])]) ).

cnf(c_0_76,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_71,c_0_57]) ).

cnf(c_0_77,plain,
    ( pred_attacker(constr_add(constr_neg(X1),X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_36]) ).

cnf(c_0_78,plain,
    ( pred_attacker(constr_add(name_Na,name_Sa))
    | ~ pred_attacker(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_66]),c_0_74]) ).

fof(c_0_79,negated_conjecture,
    ~ pred_attacker(name_Sa),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).

cnf(c_0_80,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_A_out_5(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_81,plain,
    ( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_57]) ).

cnf(c_0_82,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_add(X2,X1))
    | ~ pred_attacker(X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_32]),c_0_36]) ).

cnf(c_0_83,plain,
    pred_attacker(constr_add(name_Na,name_Sa)),
    inference(spm,[status(thm)],[c_0_78,c_0_57]) ).

cnf(c_0_84,negated_conjecture,
    ~ pred_attacker(name_Sa),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_85,plain,
    ( pred_attacker(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na)))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_86,plain,
    ~ pred_attacker(name_Na),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).

fof(c_0_87,plain,
    ! [X129] :
      ( ~ pred_attacker(tuple_out_1(X129))
      | pred_attacker(X129) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax204])]) ).

cnf(c_0_88,plain,
    ( ~ pred_attacker(constr_adec(X1,name_skA))
    | ~ pred_attacker(X1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_85]),c_0_36]),c_0_86]) ).

fof(c_0_89,plain,
    ! [X197,X198] :
      ( ~ pred_attacker(X197)
      | ~ pred_attacker(X198)
      | pred_attacker(constr_aenc(X197,X198)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax249])]) ).

cnf(c_0_90,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_out_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_91,plain,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    inference(split_conjunct,[status(thm)],[ax267]) ).

cnf(c_0_92,plain,
    ( ~ pred_attacker(constr_aenc(X1,constr_pkey(name_skA)))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_62]) ).

cnf(c_0_93,plain,
    ( pred_attacker(constr_aenc(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_94,plain,
    pred_attacker(constr_pkey(name_skA)),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_95,plain,
    pred_attacker(constr_CONST_0x30),
    inference(split_conjunct,[status(thm)],[ax257]) ).

cnf(c_0_96,plain,
    ~ pred_attacker(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).

cnf(c_0_97,plain,
    $false,
    inference(sr,[status(thm)],[c_0_95,c_0_96]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWW958+1 : TPTP v8.1.2. Released v7.4.0.
% 0.04/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 21:09:57 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 8.02/8.18  % Version  : CSE_E---1.5
% 8.02/8.18  % Problem  : theBenchmark.p
% 8.02/8.18  % Proof found
% 8.02/8.18  % SZS status Theorem for theBenchmark.p
% 8.02/8.18  % SZS output start Proof
% See solution above
% 8.02/8.19  % Total time : 7.603000 s
% 8.02/8.19  % SZS output end Proof
% 8.02/8.19  % Total time : 7.611000 s
%------------------------------------------------------------------------------