TSTP Solution File: SWW961+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWW961+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n019.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 00:19:21 EDT 2023

% Result   : Theorem 0.19s 0.59s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   65
% Syntax   : Number of formulae    :   89 (  11 unt;  57 typ;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   82 (  37   ~;  35   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   58 (  42   >;  16   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   52 (  52 usr;  15 con; 0-2 aty)
%            Number of variables   :   48 (  19 sgn;  22   !;   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,
    name_A: $i ).

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

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

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

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

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

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

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

tff(decl_35,type,
    constr_pkey: $i > $i ).

tff(decl_36,type,
    constr_aenc: ( $i * $i ) > $i ).

tff(decl_37,type,
    constr_adec: ( $i * $i ) > $i ).

tff(decl_38,type,
    constr_enc: ( $i * $i ) > $i ).

tff(decl_39,type,
    constr_dec: ( $i * $i ) > $i ).

tff(decl_40,type,
    constr_sign: ( $i * $i ) > $i ).

tff(decl_41,type,
    constr_getmess: $i > $i ).

tff(decl_42,type,
    constr_checksign: ( $i * $i ) > $i ).

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

tff(decl_44,type,
    constr_assoc_pair_2_get_1_bitstring: $i > $i ).

tff(decl_45,type,
    constr_assoc_pair_2_get_0x30_bitstring: $i > $i ).

tff(decl_46,type,
    constr_assoc_pair_2_get_1: $i > $i ).

tff(decl_47,type,
    constr_assoc_pair_2_get_0x30: $i > $i ).

tff(decl_48,type,
    tuple_2: ( $i * $i ) > $i ).

tff(decl_49,type,
    constr_tuple_2_get_1_bitstring: $i > $i ).

tff(decl_50,type,
    constr_tuple_2_get_0x30: $i > $i ).

tff(decl_51,type,
    pred_eq_bitstring_bitstring: ( $i * $i ) > $o ).

tff(decl_52,type,
    pred_attacker: $i > $o ).

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

tff(decl_54,type,
    tuple_out_3: $i > $i ).

tff(decl_55,type,
    tuple_out_2: $i > $i ).

tff(decl_56,type,
    tuple_out_1: $i > $i ).

tff(decl_57,type,
    tuple_key_retrieval_server_out_2: $i > $i ).

tff(decl_58,type,
    tuple_key_retrieval_server_in_1: ( $i * $i ) > $i ).

tff(decl_59,type,
    tuple_key_register_server_in_1: ( $i * $i ) > $i ).

tff(decl_60,type,
    tuple_false: $i ).

tff(decl_61,type,
    tuple_client_B_out_6: $i > $i ).

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

tff(decl_63,type,
    tuple_client_B_out_1: ( $i * $i ) > $i ).

tff(decl_64,type,
    tuple_client_B_in_5: $i > $i ).

tff(decl_65,type,
    tuple_client_B_in_3: $i > $i ).

tff(decl_66,type,
    tuple_client_B_in_2: $i > $i ).

tff(decl_67,type,
    tuple_client_A_out_5: $i > $i ).

tff(decl_68,type,
    tuple_client_A_out_3: $i > $i ).

tff(decl_69,type,
    tuple_client_A_out_1: ( $i * $i ) > $i ).

tff(decl_70,type,
    tuple_client_A_in_4: $i > $i ).

tff(decl_71,type,
    tuple_client_A_in_2: $i > $i ).

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

tff(decl_73,type,
    pred_equal: ( $i * $i ) > $o ).

tff(decl_74,type,
    name_new0x2Dname: $i > $i ).

tff(decl_75,type,
    tuple_keys: ( $i * $i ) > $i ).

tff(decl_76,type,
    pred_table: $i > $o ).

tff(decl_77,type,
    name_Na: $i > $i ).

tff(decl_78,type,
    name_Nb: $i > $i ).

fof(ax173,axiom,
    ! [X122,X123,X124,X125] :
      ( ( pred_eq_bitstring_bitstring(name_Nb(X122),constr_adec(X124,name_skB))
        & pred_attacker(tuple_client_B_in_5(X124))
        & pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X123,name_skB)))
        & pred_attacker(tuple_client_B_in_3(X123))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X125,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_2(X125)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).

fof(ax89,axiom,
    ! [X24,X25] : pred_eq_bitstring_bitstring(X24,X25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).

fof(ax120,axiom,
    ! [X66] :
      ( pred_attacker(X66)
     => pred_attacker(tuple_client_B_in_5(X66)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).

fof(ax122,axiom,
    ! [X68] :
      ( pred_attacker(X68)
     => pred_attacker(tuple_client_B_in_3(X68)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).

fof(ax124,axiom,
    ! [X70] :
      ( pred_attacker(X70)
     => pred_attacker(tuple_client_B_in_2(X70)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).

fof(ax162,axiom,
    ! [X113] : pred_attacker(name_new0x2Dname(X113)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax162) ).

fof(ax114,axiom,
    ! [X57] :
      ( pred_attacker(tuple_client_B_out_6(X57))
     => pred_attacker(X57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).

fof(co0,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).

fof(c_0_8,plain,
    ! [X252,X253,X254,X255] :
      ( ~ pred_eq_bitstring_bitstring(name_Nb(X252),constr_adec(X254,name_skB))
      | ~ pred_attacker(tuple_client_B_in_5(X254))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X253,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_3(X253))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X255,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_2(X255))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax173])]) ).

fof(c_0_9,plain,
    ! [X154,X155] : pred_eq_bitstring_bitstring(X154,X155),
    inference(variable_rename,[status(thm)],[ax89]) ).

cnf(c_0_10,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
    | ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X3,name_skB)))
    | ~ pred_attacker(tuple_client_B_in_3(X3))
    | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X4,constr_pkey(name_skS))))
    | ~ pred_attacker(tuple_client_B_in_2(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    pred_eq_bitstring_bitstring(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ! [X196] :
      ( ~ pred_attacker(X196)
      | pred_attacker(tuple_client_B_in_5(X196)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax120])]) ).

cnf(c_0_13,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ pred_attacker(tuple_client_B_in_3(X3))
    | ~ pred_attacker(tuple_client_B_in_2(X4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]),c_0_11])]) ).

cnf(c_0_14,plain,
    ( pred_attacker(tuple_client_B_in_5(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ! [X198] :
      ( ~ pred_attacker(X198)
      | pred_attacker(tuple_client_B_in_3(X198)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax122])]) ).

cnf(c_0_16,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(tuple_client_B_in_2(X2))
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    ( pred_attacker(tuple_client_B_in_3(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X200] :
      ( ~ pred_attacker(X200)
      | pred_attacker(tuple_client_B_in_2(X200)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax124])]) ).

cnf(c_0_19,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(tuple_client_B_in_2(X1))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    ( pred_attacker(tuple_client_B_in_2(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_21,plain,
    ! [X243] : pred_attacker(name_new0x2Dname(X243)),
    inference(variable_rename,[status(thm)],[ax162]) ).

cnf(c_0_22,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X3) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    pred_attacker(name_new0x2Dname(X1)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_25,plain,
    ! [X187] :
      ( ~ pred_attacker(tuple_client_B_out_6(X187))
      | pred_attacker(X187) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax114])]) ).

cnf(c_0_26,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_23]) ).

fof(c_0_27,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).

cnf(c_0_28,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_client_B_out_6(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_29,plain,
    pred_attacker(tuple_client_B_out_6(name_objective)),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW961+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 18:24:28 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.59  % Version  : CSE_E---1.5
% 0.19/0.59  % Problem  : theBenchmark.p
% 0.19/0.59  % Proof found
% 0.19/0.59  % SZS status Theorem for theBenchmark.p
% 0.19/0.59  % SZS output start Proof
% See solution above
% 0.19/0.60  % Total time : 0.019000 s
% 0.19/0.60  % SZS output end Proof
% 0.19/0.60  % Total time : 0.024000 s
%------------------------------------------------------------------------------