TSTP Solution File: SWV014+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV014+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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  : 600s
% DateTime : Wed Jul 20 17:45:19 EDT 2022

% Result   : Theorem 8.97s 2.60s
% Output   : CNFRefutation 8.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   47 (  17 unt;   0 nHn;  47 RR)
%            Number of literals    :   99 (   0 equ;  57 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   68 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
    ( b_stored(pair(X1,X2))
    | ~ fresh_to_b(X2)
    | ~ message(sent(X1,b,pair(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_10) ).

cnf(i_0_3,plain,
    message(sent(a,b,pair(a,an_a_nonce))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_3) ).

cnf(i_0_9,plain,
    fresh_to_b(an_a_nonce),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_9) ).

cnf(i_0_12,plain,
    ( b_holds(key(X1,X2))
    | ~ b_stored(pair(X2,X3))
    | ~ message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_12) ).

cnf(i_0_11,plain,
    ( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))
    | ~ fresh_to_b(X1)
    | ~ message(sent(X2,b,pair(X2,X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_11) ).

cnf(i_0_31,plain,
    ( message(sent(X1,X2,X3))
    | ~ party_of_protocol(X2)
    | ~ party_of_protocol(X1)
    | ~ intruder_message(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_31) ).

cnf(i_0_8,plain,
    party_of_protocol(b),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_8) ).

cnf(i_0_2,plain,
    party_of_protocol(a),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_2) ).

cnf(i_0_17,plain,
    ( intruder_message(X1)
    | ~ message(sent(X2,X3,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_17) ).

cnf(i_0_27,plain,
    ( intruder_message(pair(X1,X2))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_27) ).

cnf(i_0_33,plain,
    ( intruder_message(encrypt(X1,X2))
    | ~ party_of_protocol(X3)
    | ~ intruder_message(X1)
    | ~ intruder_holds(key(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_33) ).

cnf(i_0_32,plain,
    ( intruder_holds(key(X1,X2))
    | ~ party_of_protocol(X2)
    | ~ intruder_message(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_32) ).

cnf(i_0_21,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X1,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_21) ).

cnf(i_0_38,negated_conjecture,
    ( ~ b_holds(key(X1,a))
    | ~ intruder_holds(key(X1,b)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_38) ).

cnf(i_0_20,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X3,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_20) ).

cnf(i_0_18,plain,
    ( intruder_message(X1)
    | ~ intruder_message(pair(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gs9e0zio/lgb.p',i_0_18) ).

cnf(c_0_55,plain,
    ( b_stored(pair(X1,X2))
    | ~ fresh_to_b(X2)
    | ~ message(sent(X1,b,pair(X1,X2))) ),
    i_0_10 ).

cnf(c_0_56,plain,
    message(sent(a,b,pair(a,an_a_nonce))),
    i_0_3 ).

cnf(c_0_57,plain,
    fresh_to_b(an_a_nonce),
    i_0_9 ).

cnf(c_0_58,plain,
    ( b_holds(key(X1,X2))
    | ~ b_stored(pair(X2,X3))
    | ~ message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))) ),
    i_0_12 ).

cnf(c_0_59,plain,
    b_stored(pair(a,an_a_nonce)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).

cnf(c_0_60,plain,
    ( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))
    | ~ fresh_to_b(X1)
    | ~ message(sent(X2,b,pair(X2,X1))) ),
    i_0_11 ).

cnf(c_0_61,plain,
    ( b_holds(key(X1,a))
    | ~ message(sent(a,b,pair(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X1)))) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,plain,
    ( message(sent(X1,X2,X3))
    | ~ party_of_protocol(X2)
    | ~ party_of_protocol(X1)
    | ~ intruder_message(X3) ),
    i_0_31 ).

cnf(c_0_63,plain,
    party_of_protocol(b),
    i_0_8 ).

cnf(c_0_64,plain,
    party_of_protocol(a),
    i_0_2 ).

cnf(c_0_65,plain,
    ( intruder_message(X1)
    | ~ message(sent(X2,X3,X1)) ),
    i_0_17 ).

cnf(c_0_66,plain,
    message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_56]),c_0_57])]) ).

cnf(c_0_67,plain,
    ( b_holds(key(X1,a))
    | ~ intruder_message(pair(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64])]) ).

cnf(c_0_68,plain,
    ( intruder_message(pair(X1,X2))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1) ),
    i_0_27 ).

cnf(c_0_69,plain,
    ( intruder_message(encrypt(X1,X2))
    | ~ party_of_protocol(X3)
    | ~ intruder_message(X1)
    | ~ intruder_holds(key(X2,X3)) ),
    i_0_33 ).

cnf(c_0_70,plain,
    ( intruder_holds(key(X1,X2))
    | ~ party_of_protocol(X2)
    | ~ intruder_message(X1) ),
    i_0_32 ).

cnf(c_0_71,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X1,X3)) ),
    i_0_21 ).

cnf(c_0_72,plain,
    intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ b_holds(key(X1,a))
    | ~ intruder_holds(key(X1,b)) ),
    i_0_38 ).

cnf(c_0_74,plain,
    ( b_holds(key(X1,a))
    | ~ intruder_message(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),X1)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_75,plain,
    ( intruder_message(encrypt(X1,X2))
    | ~ party_of_protocol(X3)
    | ~ intruder_message(X1)
    | ~ intruder_message(X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,plain,
    intruder_message(generate_b_nonce(an_a_nonce)),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_77,plain,
    ( ~ intruder_message(X1)
    | ~ b_holds(key(X1,a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_70]),c_0_63])]) ).

cnf(c_0_78,plain,
    ( intruder_message(X1)
    | ~ intruder_message(triple(X2,X3,X1)) ),
    i_0_20 ).

cnf(c_0_79,plain,
    ( intruder_message(X1)
    | ~ intruder_message(pair(X2,X1)) ),
    i_0_18 ).

cnf(c_0_80,plain,
    intruder_message(pair(a,an_a_nonce)),
    inference(spm,[status(thm)],[c_0_65,c_0_56]) ).

cnf(c_0_81,plain,
    ( ~ party_of_protocol(X1)
    | ~ intruder_message(encrypt(triple(a,X2,generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]),c_0_77]) ).

cnf(c_0_82,plain,
    intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
    inference(spm,[status(thm)],[c_0_78,c_0_72]) ).

cnf(c_0_83,plain,
    intruder_message(an_a_nonce),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_84,plain,
    ~ party_of_protocol(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).

cnf(c_0_85,plain,
    $false,
    inference(sr,[status(thm)],[c_0_63,c_0_84]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV014+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 09:19:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.97/2.60  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.97/2.60  # No SInE strategy applied
% 8.97/2.60  # Trying AutoSched0 for 150 seconds
% 8.97/2.60  # AutoSched0-Mode selected heuristic G_____0026_C18_F1_SE_CS_SP_S4S
% 8.97/2.60  # and selection function SelectNewComplexAHPNS.
% 8.97/2.60  #
% 8.97/2.60  # Preprocessing time       : 0.023 s
% 8.97/2.60  
% 8.97/2.60  # Proof found!
% 8.97/2.60  # SZS status Theorem
% 8.97/2.60  # SZS output start CNFRefutation
% See solution above
% 8.97/2.60  # Training examples: 0 positive, 0 negative
% 8.97/2.60  
% 8.97/2.60  # -------------------------------------------------
% 8.97/2.60  # User time                : 0.026 s
% 8.97/2.60  # System time              : 0.007 s
% 8.97/2.60  # Total time               : 0.032 s
% 8.97/2.60  # Maximum resident set size: 7124 pages
% 8.97/2.60  
%------------------------------------------------------------------------------