TSTP Solution File: SWV013+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV013+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.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 : Wed Aug 31 18:55:13 EDT 2022

% Result   : Satisfiable 0.20s 0.53s
% Output   : Saturation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u110,axiom,
    ( intruder_holds(key(X1,X0))
    | ~ party_of_protocol(X0)
    | ~ intruder_message(X1) ) ).

cnf(u196,axiom,
    ( ~ intruder_holds(key(generate_key(an_a_nonce),X0))
    | intruder_message(generate_key(an_a_nonce))
    | ~ party_of_protocol(X0) ) ).

cnf(u159,axiom,
    ( ~ intruder_holds(key(bt,X0))
    | intruder_message(bt)
    | ~ party_of_protocol(X0) ) ).

cnf(u207,axiom,
    ( ~ intruder_holds(key(at,X2))
    | ~ party_of_protocol(X2)
    | intruder_message(at) ) ).

cnf(u96,axiom,
    ( ~ intruder_holds(key(X0,X1))
    | ~ party_of_protocol(X1)
    | intruder_message(encrypt(X2,X0))
    | ~ intruder_message(X2) ) ).

cnf(u151,axiom,
    intruder_message(generate_b_nonce(an_a_nonce)) ).

cnf(u264,axiom,
    ( intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),X0))
    | ~ intruder_message(X0) ) ).

cnf(u265,axiom,
    intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))) ).

cnf(u246,axiom,
    ( intruder_message(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),X0))
    | ~ intruder_message(X0) ) ).

cnf(u192,axiom,
    intruder_message(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))) ).

cnf(u174,axiom,
    intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(b,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ).

cnf(u147,axiom,
    intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ).

cnf(u94,axiom,
    ( intruder_message(triple(X0,X2,X1))
    | ~ intruder_message(X1)
    | ~ intruder_message(X2)
    | ~ intruder_message(X0) ) ).

cnf(u194,axiom,
    intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))) ).

cnf(u267,axiom,
    intruder_message(encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ).

cnf(u195,axiom,
    intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ).

cnf(u180,axiom,
    intruder_message(encrypt(triple(b,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)) ).

cnf(u152,axiom,
    intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)) ).

cnf(u266,axiom,
    intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ).

cnf(u203,axiom,
    intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at)) ).

cnf(u241,axiom,
    ( intruder_message(encrypt(X31,generate_key(an_a_nonce)))
    | ~ intruder_message(X31) ) ).

cnf(u134,axiom,
    ( intruder_message(encrypt(X0,X1))
    | ~ intruder_message(X0)
    | ~ intruder_message(X1) ) ).

cnf(u89,axiom,
    ( intruder_message(quadruple(X2,X0,X1,X3))
    | ~ intruder_message(X2)
    | ~ intruder_message(X1)
    | ~ intruder_message(X3)
    | ~ intruder_message(X0) ) ).

cnf(u250,axiom,
    ( intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X0,generate_key(an_a_nonce))))
    | ~ intruder_message(X0) ) ).

cnf(u193,axiom,
    intruder_message(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)))) ).

cnf(u214,axiom,
    ( intruder_message(pair(X0,encrypt(X1,generate_key(an_a_nonce))))
    | ~ intruder_message(X1)
    | ~ intruder_message(X0) ) ).

cnf(u92,axiom,
    ( intruder_message(pair(X1,X0))
    | ~ intruder_message(X0)
    | ~ intruder_message(X1) ) ).

cnf(u117,axiom,
    intruder_message(pair(a,an_a_nonce)) ).

cnf(u118,axiom,
    intruder_message(an_a_nonce) ).

cnf(u150,axiom,
    intruder_message(b) ).

cnf(u119,axiom,
    intruder_message(a) ).

cnf(u251,axiom,
    ( ~ intruder_message(bt)
    | ~ intruder_message(X2)
    | intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X2,generate_key(an_a_nonce))))
    | ~ intruder_message(triple(a,an_a_nonce,X1)) ) ).

cnf(u245,axiom,
    ( ~ intruder_message(bt)
    | intruder_message(triple(encrypt(quadruple(b,X2,generate_key(X2),X3),at),encrypt(triple(a,generate_key(X2),X3),bt),X4))
    | ~ a_nonce(X2)
    | ~ intruder_message(triple(a,X2,X3))
    | ~ intruder_message(X4) ) ).

cnf(u263,axiom,
    ( ~ intruder_message(bt)
    | ~ intruder_message(X3)
    | intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3))
    | ~ intruder_message(triple(b,X1,X2))
    | ~ a_nonce(X1) ) ).

cnf(u145,axiom,
    ( ~ intruder_message(triple(encrypt(quadruple(b,an_a_nonce,X2,X3),at),X0,X1))
    | message(sent(a,b,pair(X0,encrypt(X1,X2)))) ) ).

cnf(u165,axiom,
    ( ~ intruder_message(triple(b,X3,encrypt(triple(a,X4,X5),bt)))
    | message(sent(t,a,triple(encrypt(quadruple(b,X4,generate_key(X4),X5),at),encrypt(triple(a,generate_key(X4),X5),bt),X3)))
    | ~ a_nonce(X4) ) ).

cnf(u164,axiom,
    ( ~ intruder_message(triple(a,X0,encrypt(triple(a,X1,X2),at)))
    | ~ a_nonce(X1)
    | message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X0))) ) ).

cnf(u154,axiom,
    ( ~ intruder_message(triple(X5,X6,encrypt(triple(b,X7,X8),X9)))
    | ~ a_nonce(X7)
    | message(sent(t,b,triple(encrypt(quadruple(X5,X7,generate_key(X7),X8),bt),encrypt(triple(b,generate_key(X7),X8),X9),X6)))
    | ~ party_of_protocol(X5)
    | ~ t_holds(key(X9,X5)) ) ).

cnf(u106,axiom,
    ( ~ intruder_message(triple(X0,X1,X2))
    | intruder_message(X2) ) ).

cnf(u107,axiom,
    ( ~ intruder_message(triple(X0,X1,X2))
    | intruder_message(X1) ) ).

cnf(u108,axiom,
    ( ~ intruder_message(triple(X0,X1,X2))
    | intruder_message(X0) ) ).

cnf(u242,axiom,
    ( ~ intruder_message(encrypt(triple(a,an_a_nonce,X0),bt))
    | intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X0),bt),encrypt(X1,generate_key(an_a_nonce))))
    | ~ intruder_message(X1) ) ).

cnf(u222,axiom,
    ( ~ intruder_message(encrypt(triple(b,X3,X4),bt))
    | ~ a_nonce(X3)
    | intruder_message(triple(encrypt(quadruple(b,X3,generate_key(X3),X4),bt),encrypt(triple(b,generate_key(X3),X4),bt),X5))
    | ~ intruder_message(X5) ) ).

cnf(u220,axiom,
    ( ~ intruder_message(encrypt(triple(b,X0,X1),at))
    | intruder_message(triple(encrypt(quadruple(a,X0,generate_key(X0),X1),bt),encrypt(triple(b,generate_key(X0),X1),at),X2))
    | ~ a_nonce(X0)
    | ~ intruder_message(X2) ) ).

cnf(u210,axiom,
    ( ~ intruder_message(encrypt(triple(a,X2,X3),bt))
    | ~ a_nonce(X2)
    | intruder_message(triple(encrypt(quadruple(b,X2,generate_key(X2),X3),at),encrypt(triple(a,generate_key(X2),X3),bt),X4))
    | ~ intruder_message(X4) ) ).

cnf(u185,axiom,
    ( ~ intruder_message(encrypt(triple(a,X0,X1),at))
    | message(sent(t,a,triple(encrypt(quadruple(a,X0,generate_key(X0),X1),at),encrypt(triple(a,generate_key(X0),X1),at),X2)))
    | ~ a_nonce(X0)
    | ~ intruder_message(X2) ) ).

cnf(u155,axiom,
    ( ~ intruder_message(encrypt(quadruple(b,an_a_nonce,X2,X3),at))
    | ~ intruder_message(X0)
    | ~ intruder_message(X1)
    | message(sent(a,b,pair(X0,encrypt(X1,X2)))) ) ).

cnf(u86,axiom,
    ( ~ intruder_message(encrypt(X1,X0))
    | intruder_message(X0)
    | ~ intruder_holds(key(X0,X2))
    | ~ party_of_protocol(X2) ) ).

cnf(u102,axiom,
    ( ~ intruder_message(quadruple(X2,X0,X3,X1))
    | intruder_message(X2) ) ).

cnf(u103,axiom,
    ( ~ intruder_message(quadruple(X2,X0,X3,X1))
    | intruder_message(X0) ) ).

cnf(u104,axiom,
    ( ~ intruder_message(quadruple(X2,X0,X3,X1))
    | intruder_message(X1) ) ).

cnf(u105,axiom,
    ( ~ intruder_message(quadruple(X2,X0,X3,X1))
    | intruder_message(X3) ) ).

cnf(u142,axiom,
    ( ~ intruder_message(pair(X0,an_a_nonce))
    | message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))))
    | ~ party_of_protocol(X0) ) ).

cnf(u111,axiom,
    ( ~ intruder_message(pair(X0,X1))
    | intruder_message(X0) ) ).

cnf(u112,axiom,
    ( ~ intruder_message(pair(X0,X1))
    | intruder_message(X1) ) ).

cnf(u173,axiom,
    ( ~ intruder_message(t)
    | intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(t,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ) ).

cnf(u175,axiom,
    ( ~ intruder_message(at)
    | ~ intruder_message(X1)
    | ~ intruder_message(quadruple(b,an_a_nonce,X2,X3))
    | ~ intruder_message(X0)
    | message(sent(a,b,pair(X0,encrypt(X1,X2)))) ) ).

cnf(u208,axiom,
    ( ~ intruder_message(at)
    | message(sent(t,a,triple(encrypt(quadruple(a,X0,generate_key(X0),X1),at),encrypt(triple(a,generate_key(X0),X1),at),X2)))
    | ~ a_nonce(X0)
    | ~ intruder_message(triple(a,X0,X1))
    | ~ intruder_message(X2) ) ).

cnf(u247,axiom,
    ( ~ intruder_message(at)
    | ~ intruder_message(X2)
    | ~ intruder_message(triple(b,X0,X1))
    | intruder_message(triple(encrypt(quadruple(a,X0,generate_key(X0),X1),bt),encrypt(triple(b,generate_key(X0),X1),at),X2))
    | ~ a_nonce(X0) ) ).

cnf(u215,axiom,
    ( ~ intruder_message(X1)
    | ~ intruder_message(X0)
    | intruder_message(encrypt(X0,generate_key(an_a_nonce))) ) ).

cnf(u99,axiom,
    a_nonce(generate_expiration_time(X0)) ).

cnf(u98,axiom,
    a_nonce(generate_b_nonce(X0)) ).

cnf(u101,axiom,
    a_nonce(an_a_nonce) ).

cnf(u100,axiom,
    ~ a_nonce(generate_key(X0)) ).

cnf(u88,axiom,
    t_holds(key(bt,b)) ).

cnf(u85,axiom,
    t_holds(key(at,a)) ).

cnf(u149,axiom,
    ( ~ t_holds(key(X0,a))
    | message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),X0),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))) ) ).

cnf(u138,axiom,
    ( ~ t_holds(key(X0,X1))
    | ~ intruder_message(triple(X3,X6,encrypt(triple(X1,X2,X4),X5)))
    | ~ t_holds(key(X5,X3))
    | message(sent(t,X1,triple(encrypt(quadruple(X3,X2,generate_key(X2),X4),X0),encrypt(triple(X1,generate_key(X2),X4),X5),X6)))
    | ~ party_of_protocol(X3)
    | ~ a_nonce(X2) ) ).

cnf(u153,axiom,
    ( ~ t_holds(key(X4,X0))
    | ~ intruder_message(triple(X0,X1,encrypt(triple(a,X2,X3),X4)))
    | message(sent(t,a,triple(encrypt(quadruple(X0,X2,generate_key(X2),X3),at),encrypt(triple(a,generate_key(X2),X3),X4),X1)))
    | ~ a_nonce(X2)
    | ~ party_of_protocol(X0) ) ).

cnf(u170,axiom,
    ( ~ t_holds(key(X1,X0))
    | message(sent(t,X0,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),X1),encrypt(triple(X0,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))))
    | ~ party_of_protocol(X0)
    | ~ intruder_message(X0) ) ).

cnf(u190,axiom,
    ( ~ t_holds(key(X4,X0))
    | ~ intruder_message(X0)
    | ~ party_of_protocol(X0)
    | ~ intruder_message(encrypt(triple(b,X2,X3),X4))
    | ~ a_nonce(X2)
    | ~ intruder_message(X1)
    | intruder_message(triple(encrypt(quadruple(X0,X2,generate_key(X2),X3),bt),encrypt(triple(b,generate_key(X2),X3),X4),X1)) ) ).

cnf(u116,axiom,
    fresh_to_b(an_a_nonce) ).

cnf(u90,axiom,
    ( ~ fresh_to_b(X0)
    | message(sent(b,t,triple(b,generate_b_nonce(X0),encrypt(triple(X1,X0,generate_expiration_time(X0)),bt))))
    | ~ message(sent(X1,b,pair(X1,X0))) ) ).

cnf(u87,axiom,
    a_stored(pair(b,an_a_nonce)) ).

cnf(u91,axiom,
    ( ~ a_stored(pair(X3,X0))
    | ~ message(sent(t,a,triple(encrypt(quadruple(X3,X0,X4,X2),at),X5,X1)))
    | message(sent(a,X3,pair(X5,encrypt(X1,X4)))) ) ).

cnf(u158,axiom,
    ( message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))))
    | ~ intruder_message(X0)
    | ~ party_of_protocol(X0) ) ).

cnf(u140,axiom,
    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)))) ).

cnf(u206,axiom,
    ( message(sent(a,b,pair(X0,encrypt(X1,generate_key(an_a_nonce)))))
    | ~ intruder_message(X0)
    | ~ intruder_message(X1) ) ).

cnf(u211,axiom,
    ( message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),X0),bt),encrypt(X1,generate_key(an_a_nonce)))))
    | ~ intruder_message(encrypt(triple(a,an_a_nonce,X0),bt))
    | ~ intruder_message(X1) ) ).

cnf(u255,axiom,
    ( message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X0,generate_key(an_a_nonce)))))
    | ~ intruder_message(X0) ) ).

cnf(u191,axiom,
    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))))) ).

cnf(u114,axiom,
    message(sent(a,b,pair(a,an_a_nonce))) ).

cnf(u188,axiom,
    ( message(sent(t,a,triple(encrypt(quadruple(b,X0,generate_key(X0),X1),at),encrypt(triple(a,generate_key(X0),X1),bt),X2)))
    | ~ intruder_message(encrypt(triple(a,X0,X1),bt))
    | ~ a_nonce(X0)
    | ~ intruder_message(X2) ) ).

cnf(u176,axiom,
    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)))) ).

cnf(u183,axiom,
    message(sent(t,b,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))) ).

cnf(u166,axiom,
    ( message(sent(t,b,triple(encrypt(quadruple(X1,X0,generate_key(X0),X2),bt),encrypt(triple(b,generate_key(X0),X2),X3),X4)))
    | ~ intruder_message(X1)
    | ~ intruder_message(X4)
    | ~ intruder_message(encrypt(triple(b,X0,X2),X3))
    | ~ a_nonce(X0)
    | ~ t_holds(key(X3,X1))
    | ~ party_of_protocol(X1) ) ).

cnf(u95,axiom,
    ( message(sent(X0,X1,X2))
    | ~ party_of_protocol(X0)
    | ~ intruder_message(X2)
    | ~ party_of_protocol(X1) ) ).

cnf(u133,axiom,
    ( ~ message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,X0,X1),at),X2,X3)))
    | message(sent(a,b,pair(X2,encrypt(X3,X0)))) ) ).

cnf(u132,axiom,
    ( ~ message(sent(X0,b,pair(X0,an_a_nonce)))
    | message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))) ) ).

cnf(u115,axiom,
    ( ~ message(sent(X3,t,triple(X3,X2,encrypt(triple(X0,X4,X6),X1))))
    | ~ t_holds(key(X5,X0))
    | ~ a_nonce(X4)
    | message(sent(t,X0,triple(encrypt(quadruple(X3,X4,generate_key(X4),X6),X5),encrypt(triple(X0,generate_key(X4),X6),X1),X2)))
    | ~ t_holds(key(X1,X3)) ) ).

cnf(u113,axiom,
    ( ~ message(sent(X0,X1,X2))
    | intruder_message(X2) ) ).

cnf(u109,axiom,
    party_of_protocol(t) ).

cnf(u97,axiom,
    party_of_protocol(b) ).

cnf(u93,axiom,
    party_of_protocol(a) ).

cnf(u278,axiom,
    ( ~ party_of_protocol(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(encrypt(triple(b,X3,X4),X5))
    | ~ a_nonce(X3)
    | ~ t_holds(key(X5,encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)))
    | message(sent(t,b,triple(encrypt(quadruple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),X3,generate_key(X3),X4),bt),encrypt(triple(b,generate_key(X3),X4),X5),encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)))) ) ).

cnf(u259,axiom,
    ( ~ party_of_protocol(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at))
    | ~ t_holds(key(X6,encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at)))
    | ~ a_nonce(X4)
    | ~ intruder_message(encrypt(triple(b,X4,X5),X6))
    | message(sent(t,b,triple(encrypt(quadruple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),X4,generate_key(X4),X5),bt),encrypt(triple(b,generate_key(X4),X5),X6),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)))) ) ).

cnf(u127,axiom,
    ( ~ party_of_protocol(X0)
    | ~ intruder_message(X1)
    | intruder_message(encrypt(X1,X2))
    | ~ intruder_message(X2) ) ).

cnf(u168,axiom,
    ( ~ party_of_protocol(X2)
    | ~ intruder_message(X2)
    | intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X2,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWV013+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.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   : Tue Aug 30 18:56:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (8633)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50  % (8632)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50  % (8640)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.50  % (8623)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50  % (8625)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (8624)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (8625)Instruction limit reached!
% 0.20/0.51  % (8625)------------------------------
% 0.20/0.51  % (8625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (8641)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51  % (8619)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (8639)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (8631)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (8625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (8625)Termination reason: Unknown
% 0.20/0.52  % (8625)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (8625)Memory used [KB]: 5500
% 0.20/0.52  % (8625)Time elapsed: 0.113 s
% 0.20/0.52  % (8625)Instructions burned: 7 (million)
% 0.20/0.52  % (8625)------------------------------
% 0.20/0.52  % (8625)------------------------------
% 0.20/0.53  % (8633)First to succeed.
% 0.20/0.53  % (8645)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  % (8644)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  % SZS status Satisfiable for theBenchmark
% 0.20/0.53  % (8633)# SZS output start Saturation.
% See solution above
% 0.20/0.53  % (8633)------------------------------
% 0.20/0.53  % (8633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8633)Termination reason: Satisfiable
% 0.20/0.53  
% 0.20/0.53  % (8633)Memory used [KB]: 1151
% 0.20/0.53  % (8633)Time elapsed: 0.111 s
% 0.20/0.53  % (8633)Instructions burned: 9 (million)
% 0.20/0.53  % (8633)------------------------------
% 0.20/0.53  % (8633)------------------------------
% 0.20/0.53  % (8617)Success in time 0.177 s
%------------------------------------------------------------------------------