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 : n004.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 1.87s 0.60s
% Output   : Saturation 1.87s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(intruder_holds_key_32,axiom,
    ( intruder_holds(key(X0,X4))
    | ~ party_of_protocol(X4)
    | ~ intruder_message(X0) ) ).

cnf(u109,axiom,
    ( ~ intruder_holds(key(generate_key(an_a_nonce),X0))
    | ~ party_of_protocol(X0)
    | intruder_message(generate_key(an_a_nonce)) ) ).

cnf(u62,axiom,
    ( ~ intruder_holds(key(bt,X0))
    | ~ party_of_protocol(X0)
    | intruder_message(bt) ) ).

cnf(u130,axiom,
    ( ~ intruder_holds(key(at,X2))
    | ~ party_of_protocol(X2)
    | intruder_message(at) ) ).

cnf(intruder_key_encrypts_33,axiom,
    ( ~ intruder_holds(key(X4,X3))
    | intruder_message(encrypt(X0,X4))
    | ~ party_of_protocol(X3)
    | ~ intruder_message(X0) ) ).

cnf(u60,axiom,
    intruder_message(generate_b_nonce(an_a_nonce)) ).

cnf(u179,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),X1))
    | ~ intruder_message(X1) ) ).

cnf(u171,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(u127,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(u97,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(u72,axiom,
    ( intruder_message(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)
    | ~ intruder_message(X0) ) ).

cnf(u56,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(intruder_composes_triples_28,axiom,
    ( intruder_message(triple(X0,X4,X3))
    | ~ intruder_message(X0)
    | ~ intruder_message(X3)
    | ~ intruder_message(X4) ) ).

cnf(intruder_composes_quadruples_29,axiom,
    ( intruder_message(quadruple(X0,X4,X3,X5))
    | ~ intruder_message(X5)
    | ~ intruder_message(X0)
    | ~ intruder_message(X3)
    | ~ intruder_message(X4) ) ).

cnf(u98,axiom,
    intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))) ).

cnf(u156,axiom,
    intruder_message(encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ).

cnf(u123,axiom,
    intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ).

cnf(u73,axiom,
    ( intruder_message(encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))
    | ~ intruder_message(X0)
    | ~ party_of_protocol(X0) ) ).

cnf(u59,axiom,
    intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)) ).

cnf(u157,axiom,
    intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ).

cnf(u124,axiom,
    intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at)) ).

cnf(u116,axiom,
    ( intruder_message(encrypt(X0,generate_key(an_a_nonce)))
    | ~ intruder_message(X0) ) ).

cnf(u44,axiom,
    ( intruder_message(encrypt(X2,X3))
    | ~ intruder_message(X3)
    | ~ intruder_message(X2) ) ).

cnf(u184,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(u143,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(u89,axiom,
    ( intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X0,generate_key(an_a_nonce))))
    | ~ message(sent(b,t,triple(b,X0,encrypt(triple(a,an_a_nonce,X1),bt)))) ) ).

cnf(u133,axiom,
    ( intruder_message(pair(X0,encrypt(X1,generate_key(an_a_nonce))))
    | ~ intruder_message(X0)
    | ~ intruder_message(X1) ) ).

cnf(intruder_composes_pairs_27,axiom,
    ( intruder_message(pair(X0,X4))
    | ~ intruder_message(X0)
    | ~ intruder_message(X4) ) ).

cnf(u32,axiom,
    intruder_message(pair(a,an_a_nonce)) ).

cnf(u33,axiom,
    intruder_message(an_a_nonce) ).

cnf(u61,axiom,
    intruder_message(b) ).

cnf(u34,axiom,
    intruder_message(a) ).

cnf(u118,axiom,
    ( ~ intruder_message(bt)
    | ~ intruder_message(triple(a,an_a_nonce,X3))
    | intruder_message(encrypt(X2,generate_key(an_a_nonce)))
    | ~ intruder_message(X2) ) ).

cnf(u165,axiom,
    ( ~ intruder_message(bt)
    | ~ intruder_message(triple(a,an_a_nonce,X3))
    | ~ intruder_message(X2)
    | intruder_message(encrypt(triple(a,generate_key(an_a_nonce),X3),bt)) ) ).

cnf(u168,axiom,
    ( ~ intruder_message(bt)
    | intruder_message(triple(encrypt(quadruple(b,X3,generate_key(X3),X4),bt),encrypt(triple(b,generate_key(X3),X4),bt),X2))
    | ~ intruder_message(X2)
    | ~ a_nonce(X3)
    | ~ intruder_message(triple(b,X3,X4)) ) ).

cnf(u177,axiom,
    ( ~ intruder_message(bt)
    | intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),X2),at),encrypt(triple(a,generate_key(an_a_nonce),X2),bt),X3))
    | ~ intruder_message(triple(a,an_a_nonce,X2))
    | ~ intruder_message(X3) ) ).

cnf(u185,axiom,
    ( ~ intruder_message(bt)
    | intruder_message(triple(encrypt(quadruple(b,generate_expiration_time(X0),generate_key(generate_expiration_time(X0)),X1),at),encrypt(triple(a,generate_key(generate_expiration_time(X0)),X1),bt),X2))
    | ~ intruder_message(X2)
    | ~ intruder_message(triple(a,generate_expiration_time(X0),X1)) ) ).

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

cnf(u67,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(u108,axiom,
    ( ~ intruder_message(triple(b,X2,encrypt(triple(b,X0,X1),bt)))
    | intruder_message(triple(encrypt(quadruple(b,X0,generate_key(X0),X1),bt),encrypt(triple(b,generate_key(X0),X1),bt),X2))
    | ~ a_nonce(X0) ) ).

cnf(u96,axiom,
    ( ~ intruder_message(triple(b,X2,encrypt(triple(a,X0,X1),bt)))
    | intruder_message(triple(encrypt(quadruple(b,X0,generate_key(X0),X1),at),encrypt(triple(a,generate_key(X0),X1),bt),X2))
    | ~ a_nonce(X0) ) ).

cnf(u102,axiom,
    ( ~ intruder_message(triple(b,X0,encrypt(triple(a,an_a_nonce,X1),bt)))
    | intruder_message(encrypt(X0,generate_key(an_a_nonce))) ) ).

cnf(u150,axiom,
    ( ~ intruder_message(triple(b,X1,encrypt(triple(a,an_a_nonce,X0),bt)))
    | intruder_message(encrypt(triple(a,generate_key(an_a_nonce),X0),bt)) ) ).

cnf(u79,axiom,
    ( ~ intruder_message(triple(a,X4,encrypt(triple(X0,X1,X2),at)))
    | ~ a_nonce(X1)
    | ~ t_holds(key(X3,X0))
    | message(sent(t,X0,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),X3),encrypt(triple(X0,generate_key(X1),X2),at),X4))) ) ).

cnf(intruder_decomposes_triples_20,axiom,
    ( ~ intruder_message(triple(X0,X4,X3))
    | intruder_message(X0) ) ).

cnf(intruder_decomposes_triples_21,axiom,
    ( ~ intruder_message(triple(X0,X4,X3))
    | intruder_message(X4) ) ).

cnf(intruder_decomposes_triples_22,axiom,
    ( ~ intruder_message(triple(X0,X4,X3))
    | intruder_message(X3) ) ).

cnf(u82,axiom,
    ( ~ intruder_message(at)
    | ~ intruder_message(quadruple(b,an_a_nonce,X2,X3))
    | ~ intruder_message(X1)
    | message(sent(a,b,pair(X1,encrypt(X0,X2))))
    | ~ intruder_message(X0) ) ).

cnf(u119,axiom,
    ( ~ intruder_message(at)
    | ~ a_nonce(X1)
    | ~ intruder_message(triple(X3,X1,X4))
    | ~ intruder_message(X0)
    | message(sent(t,X3,triple(encrypt(quadruple(a,X1,generate_key(X1),X4),X2),encrypt(triple(X3,generate_key(X1),X4),at),X0)))
    | ~ t_holds(key(X2,X3)) ) ).

cnf(intruder_decomposes_quadruples_23,axiom,
    ( ~ intruder_message(quadruple(X0,X4,X3,X5))
    | intruder_message(X0) ) ).

cnf(intruder_decomposes_quadruples_24,axiom,
    ( ~ intruder_message(quadruple(X0,X4,X3,X5))
    | intruder_message(X4) ) ).

cnf(intruder_decomposes_quadruples_25,axiom,
    ( ~ intruder_message(quadruple(X0,X4,X3,X5))
    | intruder_message(X3) ) ).

cnf(intruder_decomposes_quadruples_26,axiom,
    ( ~ intruder_message(quadruple(X0,X4,X3,X5))
    | intruder_message(X5) ) ).

cnf(u88,axiom,
    ( ~ intruder_message(encrypt(triple(X2,X0,X3),at))
    | ~ intruder_message(X4)
    | ~ a_nonce(X0)
    | ~ t_holds(key(X1,X2))
    | message(sent(t,X2,triple(encrypt(quadruple(a,X0,generate_key(X0),X3),X1),encrypt(triple(X2,generate_key(X0),X3),at),X4))) ) ).

cnf(u140,axiom,
    ( ~ intruder_message(encrypt(triple(b,X0,X1),bt))
    | ~ intruder_message(X2)
    | ~ a_nonce(X0)
    | intruder_message(triple(encrypt(quadruple(b,X0,generate_key(X0),X1),bt),encrypt(triple(b,generate_key(X0),X1),bt),X2)) ) ).

cnf(u162,axiom,
    ( ~ intruder_message(encrypt(triple(a,generate_b_nonce(X6),X7),bt))
    | ~ intruder_message(X5)
    | intruder_message(triple(encrypt(quadruple(b,generate_b_nonce(X6),generate_key(generate_b_nonce(X6)),X7),at),encrypt(triple(a,generate_key(generate_b_nonce(X6)),X7),bt),X5)) ) ).

cnf(u161,axiom,
    ( ~ intruder_message(encrypt(triple(a,generate_expiration_time(X3),X4),bt))
    | intruder_message(triple(encrypt(quadruple(b,generate_expiration_time(X3),generate_key(generate_expiration_time(X3)),X4),at),encrypt(triple(a,generate_key(generate_expiration_time(X3)),X4),bt),X2))
    | ~ intruder_message(X2) ) ).

cnf(u115,axiom,
    ( ~ intruder_message(encrypt(triple(a,an_a_nonce,X1),bt))
    | intruder_message(encrypt(X0,generate_key(an_a_nonce)))
    | ~ intruder_message(X0) ) ).

cnf(u154,axiom,
    ( ~ intruder_message(encrypt(triple(a,an_a_nonce,X0),bt))
    | ~ intruder_message(X1)
    | intruder_message(encrypt(triple(a,generate_key(an_a_nonce),X0),bt)) ) ).

cnf(u160,axiom,
    ( ~ intruder_message(encrypt(triple(a,an_a_nonce,X1),bt))
    | intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),X1),at),encrypt(triple(a,generate_key(an_a_nonce),X1),bt),X0))
    | ~ intruder_message(X0) ) ).

cnf(u68,axiom,
    ( ~ intruder_message(encrypt(quadruple(b,an_a_nonce,X2,X3),at))
    | ~ intruder_message(X1)
    | message(sent(a,b,pair(X0,encrypt(X1,X2))))
    | ~ intruder_message(X0) ) ).

cnf(intruder_interception_30,axiom,
    ( ~ intruder_message(encrypt(X0,X4))
    | ~ party_of_protocol(X3)
    | intruder_message(X4)
    | ~ intruder_holds(key(X4,X3)) ) ).

cnf(u106,axiom,
    ( ~ intruder_message(pair(b,an_a_nonce))
    | 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(u69,axiom,
    ( ~ intruder_message(pair(X0,an_a_nonce))
    | intruder_message(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(intruder_decomposes_pairs_18,axiom,
    ( ~ intruder_message(pair(X0,X4))
    | intruder_message(X0) ) ).

cnf(intruder_decomposes_pairs_19,axiom,
    ( ~ intruder_message(pair(X0,X4))
    | intruder_message(X4) ) ).

cnf(generated_times_and_nonces_are_nonces_37,axiom,
    a_nonce(generate_b_nonce(X0)) ).

cnf(generated_times_and_nonces_are_nonces_36,axiom,
    a_nonce(generate_expiration_time(X0)) ).

cnf(an_a_nonce_is_a_nonce_34,axiom,
    a_nonce(an_a_nonce) ).

cnf(u167,axiom,
    ( ~ a_nonce(generate_key(an_a_nonce))
    | intruder_message(triple(encrypt(quadruple(b,generate_key(an_a_nonce),generate_key(generate_key(an_a_nonce)),generate_expiration_time(an_a_nonce)),bt),encrypt(triple(b,generate_key(generate_key(an_a_nonce)),generate_expiration_time(an_a_nonce)),bt),X1))
    | ~ intruder_message(X1) ) ).

cnf(u137,axiom,
    ( ~ a_nonce(X0)
    | ~ intruder_message(X2)
    | ~ intruder_message(encrypt(triple(a,X0,X1),bt))
    | intruder_message(triple(encrypt(quadruple(b,X0,generate_key(X0),X1),at),encrypt(triple(a,generate_key(X0),X1),bt),X2)) ) ).

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

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

cnf(server_t_generates_key_16,axiom,
    ( ~ t_holds(key(X2,X0))
    | ~ a_nonce(X5)
    | message(sent(t,X3,triple(encrypt(quadruple(X0,X5,generate_key(X5),X1),X6),encrypt(triple(X3,generate_key(X5),X1),X2),X4)))
    | ~ message(sent(X0,t,triple(X0,X4,encrypt(triple(X3,X5,X1),X2))))
    | ~ t_holds(key(X6,X3)) ) ).

cnf(u58,axiom,
    ( ~ t_holds(key(X8,X6))
    | ~ message(sent(b,t,triple(b,X9,encrypt(triple(X6,X5,X7),bt))))
    | message(sent(t,X6,triple(encrypt(quadruple(b,X5,generate_key(X5),X7),X8),encrypt(triple(X6,generate_key(X5),X7),bt),X9)))
    | ~ a_nonce(X5) ) ).

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

cnf(b_creates_freash_nonces_in_time_10,axiom,
    ( ~ fresh_to_b(X4)
    | ~ message(sent(X0,b,pair(X0,X4)))
    | message(sent(b,t,triple(b,generate_b_nonce(X4),encrypt(triple(X0,X4,generate_expiration_time(X4)),bt)))) ) ).

cnf(a_stored_message_i_4,axiom,
    a_stored(pair(b,an_a_nonce)) ).

cnf(a_forwards_secure_5,axiom,
    ( ~ a_stored(pair(X0,X4))
    | ~ message(sent(t,a,triple(encrypt(quadruple(X0,X4,X3,X5),at),X1,X2)))
    | message(sent(a,X0,pair(X1,encrypt(X2,X3)))) ) ).

cnf(u81,axiom,
    ( message(sent(t,b,triple(encrypt(quadruple(b,X4,generate_key(X4),X5),bt),encrypt(triple(b,generate_key(X4),X5),bt),X3)))
    | ~ a_nonce(X4)
    | ~ message(sent(b,t,triple(b,X3,encrypt(triple(b,X4,X5),bt)))) ) ).

cnf(u80,axiom,
    ( message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X0)))
    | ~ message(sent(b,t,triple(b,X0,encrypt(triple(a,X1,X2),bt))))
    | ~ a_nonce(X1) ) ).

cnf(u55,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(pair(X0,an_a_nonce))
    | ~ party_of_protocol(X0) ) ).

cnf(u53,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(u129,axiom,
    ( message(sent(a,b,pair(X1,encrypt(X0,generate_key(an_a_nonce)))))
    | ~ intruder_message(X1)
    | ~ intruder_message(X0) ) ).

cnf(u180,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(u121,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(u85,axiom,
    ( message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X0,generate_key(an_a_nonce)))))
    | ~ message(sent(b,t,triple(b,X0,encrypt(triple(a,an_a_nonce,X1),bt)))) ) ).

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

cnf(intruder_message_sent_31,axiom,
    ( message(sent(X4,X3,X0))
    | ~ intruder_message(X0)
    | ~ party_of_protocol(X3)
    | ~ party_of_protocol(X4) ) ).

cnf(u52,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(u86,axiom,
    ( ~ message(sent(b,t,triple(b,X1,encrypt(triple(b,X0,X2),bt))))
    | ~ a_nonce(X0)
    | intruder_message(triple(encrypt(quadruple(b,X0,generate_key(X0),X2),bt),encrypt(triple(b,generate_key(X0),X2),bt),X1)) ) ).

cnf(u90,axiom,
    ( ~ message(sent(b,t,triple(b,X0,encrypt(triple(a,an_a_nonce,X1),bt))))
    | intruder_message(encrypt(X0,generate_key(an_a_nonce))) ) ).

cnf(u91,axiom,
    ( ~ message(sent(b,t,triple(b,X2,encrypt(triple(a,an_a_nonce,X3),bt))))
    | intruder_message(encrypt(triple(a,generate_key(an_a_nonce),X3),bt)) ) ).

cnf(u84,axiom,
    ( ~ message(sent(b,t,triple(b,X2,encrypt(triple(a,X3,X4),bt))))
    | intruder_message(triple(encrypt(quadruple(b,X3,generate_key(X3),X4),at),encrypt(triple(a,generate_key(X3),X4),bt),X2))
    | ~ a_nonce(X3) ) ).

cnf(u57,axiom,
    ( ~ message(sent(a,t,triple(a,X4,encrypt(triple(X1,X0,X2),at))))
    | message(sent(t,X1,triple(encrypt(quadruple(a,X0,generate_key(X0),X2),X3),encrypt(triple(X1,generate_key(X0),X2),at),X4)))
    | ~ a_nonce(X0)
    | ~ t_holds(key(X3,X1)) ) ).

cnf(u51,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(intruder_can_record_17,axiom,
    ( ~ message(sent(X0,X4,X3))
    | intruder_message(X3) ) ).

cnf(t_is_party_of_protocol_15,axiom,
    party_of_protocol(t) ).

cnf(b_is_party_of_protocol_8,axiom,
    party_of_protocol(b) ).

cnf(a_is_party_of_protocol_2,axiom,
    party_of_protocol(a) ).

cnf(u42,axiom,
    ( ~ party_of_protocol(X2)
    | intruder_message(encrypt(X0,X1))
    | ~ intruder_message(X1)
    | ~ intruder_message(X0) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV013-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n004.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   : Tue Aug 30 18:52:04 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.56  % (24437)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (24446)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (24460)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)
% 0.20/0.57  % (24448)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)
% 1.52/0.58  % (24440)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.58  % (24462)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.52/0.58  % (24445)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.52/0.59  % (24433)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.52/0.59  % (24447)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)
% 1.52/0.59  % (24460)First to succeed.
% 1.87/0.59  % (24435)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.87/0.59  % (24440)Instruction limit reached!
% 1.87/0.59  % (24440)------------------------------
% 1.87/0.59  % (24440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.59  % (24440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.59  % (24440)Termination reason: Unknown
% 1.87/0.60  % SZS status Satisfiable for theBenchmark
% 1.87/0.60  % (24460)# SZS output start Saturation.
% See solution above
% 1.87/0.60  % (24460)------------------------------
% 1.87/0.60  % (24460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60  % (24460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60  % (24460)Termination reason: Satisfiable
% 1.87/0.60  
% 1.87/0.60  % (24460)Memory used [KB]: 1023
% 1.87/0.60  % (24460)Time elapsed: 0.106 s
% 1.87/0.60  % (24460)Instructions burned: 9 (million)
% 1.87/0.60  % (24460)------------------------------
% 1.87/0.60  % (24460)------------------------------
% 1.87/0.60  % (24432)Success in time 0.237 s
%------------------------------------------------------------------------------