%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV010-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 21:15:31 EDT 2022

% Result   : Satisfiable 0.19s 0.51s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(a_stored_message_i_4,axiom,
    a_stored(pair(b,an_a_nonce)),
    input ).

cnf(a_forwards_secure_5,axiom,
    ( message(sent(a,X7,pair(X6,encrypt(X5,X2))))
    | ~ a_stored(pair(X7,X3))
    | ~ message(sent(t,a,triple(encrypt(quadruple(X7,X3,X2,X4),at),X6,X5))) ),
    input ).

cnf(t_holds_key_at_for_a_13,axiom,
    t_holds(key(at,a)),
    input ).

cnf(t_holds_key_bt_for_b_14,axiom,
    t_holds(key(bt,b)),
    input ).

cnf(nonce_a_is_fresh_to_b_9,axiom,
    fresh_to_b(an_a_nonce),
    input ).

cnf(a_sent_message_i_to_b_3,axiom,
    message(sent(a,b,pair(a,an_a_nonce))),
    input ).

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))) ),
    input ).

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,X11,triple(encrypt(quadruple(X16,X12,generate_key(X12),X14),X10),encrypt(triple(X11,generate_key(X12),X14),X15),X13)))
    | ~ message(sent(X16,t,triple(X16,X13,encrypt(triple(X11,X12,X14),X15))))
    | ~ t_holds(key(X10,X11))
    | ~ t_holds(key(X15,X16)) ),
    input ).

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
% 0.06/0.12  % Problem  : SWV010-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 16:54:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.51  # Version:  1.3
% 0.19/0.51  # SZS status Satisfiable
% 0.19/0.51  # SZS output start Saturation
% See solution above
% 0.19/0.51  
% 0.19/0.51  # Initial clauses    : 8
% 0.19/0.51  # Processed clauses  : 15
% 0.19/0.51  # Factors computed   : 0
% 0.19/0.51  # Resolvents computed: 7
% 0.19/0.51  # Tautologies deleted: 0
% 0.19/0.51  # Forward subsumed   : 0
% 0.19/0.51  # Backward subsumed  : 3
% 0.19/0.51  # -------- CPU Time ---------
% 0.19/0.51  # User time          : 0.159 s
% 0.19/0.51  # System time        : 0.012 s
% 0.19/0.51  # Total time         : 0.171 s
%------------------------------------------------------------------------------