TSTP Solution File: SWV010-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV010-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : Thu May  9 17:44:06 EDT 2024

% Result   : Satisfiable 0.38s 0.55s
% Output   : Saturation 0.38s
% Verified : 
% SZS Type : Derivation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   8 unt;   0 nHn;  15 RR)
%            Number of literals    :   27 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   4 usr;   0 prp; 1-1 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-4 aty)
%            Number of variables   :   17 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(a_stored_message_i_4,axiom,
    a_stored(pair(b,an_a_nonce)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_stored_message_i_4) ).

cnf(a_forwards_secure_5,axiom,
    ( message(sent(a,X2,pair(X7,encrypt(X6,X4))))
    | ~ a_stored(pair(X2,X5))
    | ~ message(sent(t,a,triple(encrypt(quadruple(X2,X5,X4,X3),at),X7,X6))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_forwards_secure_5) ).

cnf(t_holds_key_at_for_a_13,axiom,
    t_holds(key(at,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_holds_key_at_for_a_13) ).

cnf(t_holds_key_bt_for_b_14,axiom,
    t_holds(key(bt,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_holds_key_bt_for_b_14) ).

cnf(nonce_a_is_fresh_to_b_9,axiom,
    fresh_to_b(an_a_nonce),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonce_a_is_fresh_to_b_9) ).

cnf(a_sent_message_i_to_b_3,axiom,
    message(sent(a,b,pair(a,an_a_nonce))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_sent_message_i_to_b_3) ).

cnf(b_creates_freash_nonces_in_time_10,axiom,
    ( message(sent(b,t,triple(b,generate_b_nonce(X8),encrypt(triple(X9,X8,generate_expiration_time(X8)),bt))))
    | ~ fresh_to_b(X8)
    | ~ message(sent(X9,b,pair(X9,X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time_10) ).

cnf(c0,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))))
    | ~ fresh_to_b(an_a_nonce) ),
    inference(resolution,[status(thm)],[b_creates_freash_nonces_in_time_10,a_sent_message_i_to_b_3]) ).

cnf(c1,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(resolution,[status(thm)],[c0,nonce_a_is_fresh_to_b_9]) ).

cnf(server_t_generates_key_16,axiom,
    ( message(sent(t,X12,triple(encrypt(quadruple(X10,X11,generate_key(X11),X16),X14),encrypt(triple(X12,generate_key(X11),X16),X15),X13)))
    | ~ message(sent(X10,t,triple(X10,X13,encrypt(triple(X12,X11,X16),X15))))
    | ~ t_holds(key(X14,X12))
    | ~ t_holds(key(X15,X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',server_t_generates_key_16) ).

cnf(c2,plain,
    ( message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),X17),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))))
    | ~ t_holds(key(X17,a))
    | ~ t_holds(key(bt,b)) ),
    inference(resolution,[status(thm)],[server_t_generates_key_16,c1]) ).

cnf(c3,plain,
    ( message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),X18),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))))
    | ~ t_holds(key(X18,a)) ),
    inference(resolution,[status(thm)],[c2,t_holds_key_bt_for_b_14]) ).

cnf(c4,plain,
    message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))),
    inference(resolution,[status(thm)],[c3,t_holds_key_at_for_a_13]) ).

cnf(c5,plain,
    ( message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))))
    | ~ a_stored(pair(b,an_a_nonce)) ),
    inference(resolution,[status(thm)],[c4,a_forwards_secure_5]) ).

cnf(c6,plain,
    message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))),
    inference(resolution,[status(thm)],[c5,a_stored_message_i_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV010-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  9 05:08:53 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.38/0.55  % Version:  1.5
% 0.38/0.55  % SZS status Satisfiable
% 0.38/0.55  % SZS output start Saturation
% See solution above
% 0.38/0.55  
% 0.38/0.55  % Initial clauses    : 8
% 0.38/0.55  % Processed clauses  : 15
% 0.38/0.55  % Factors computed   : 0
% 0.38/0.55  % Resolvents computed: 7
% 0.38/0.55  % Tautologies deleted: 0
% 0.38/0.55  % Forward subsumed   : 0
% 0.38/0.55  % Backward subsumed  : 3
% 0.38/0.55  % -------- CPU Time ---------
% 0.38/0.55  % User time          : 0.173 s
% 0.38/0.55  % System time        : 0.016 s
% 0.38/0.55  % Total time         : 0.189 s
%------------------------------------------------------------------------------