TSTP Solution File: SWV013-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV013-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 21:40:56 EDT 2022
% Result : Satisfiable 0.61s 0.76s
% Output : Saturation 0.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 86)
% Comments :
%------------------------------------------------------------------------------
cnf(538,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ a_nonce(w)
| ~ intruder_message(w)
| ~ fresh_to_b(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,generate_b_nonce(v)))
| ~ a_stored(pair(b,w))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(w),x))
| intruder_message(pair(encrypt(triple(b,generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),generate_key(w)),encrypt(y,generate_key(generate_b_nonce(v))))) ),
inference(res,[status(thm),theory(equality)],[525,12]),
[iquote('0:Res:525.14,12.0')] ).
cnf(525,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ a_nonce(w)
| ~ intruder_message(w)
| ~ fresh_to_b(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,generate_b_nonce(v)))
| ~ a_stored(pair(b,w))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(w),x))
| message(sent(a,x,pair(encrypt(triple(b,generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),generate_key(w)),encrypt(y,generate_key(generate_b_nonce(v)))))) ),
inference(sor,[status(thm)],[87,515]),
[iquote('0:SoR:87.0,515.13')] ).
cnf(536,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ a_nonce(x)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ intruder_message(y)
| ~ intruder_message(z)
| ~ a_nonce(v)
| ~ party_of_protocol(y)
| ~ a_stored(pair(y,v))
| ~ a_stored(pair(b,x))
| ~ t_holds(key(at,u))
| ~ t_holds(key(generate_key(x),y))
| intruder_message(pair(encrypt(triple(u,generate_key(v),w),generate_key(x)),encrypt(z,generate_key(v)))) ),
inference(res,[status(thm),theory(equality)],[493,12]),
[iquote('0:Res:493.14,12.0')] ).
cnf(493,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ a_nonce(x)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ intruder_message(y)
| ~ intruder_message(z)
| ~ a_nonce(v)
| ~ party_of_protocol(y)
| ~ a_stored(pair(y,v))
| ~ a_stored(pair(b,x))
| ~ t_holds(key(at,u))
| ~ t_holds(key(generate_key(x),y))
| message(sent(a,y,pair(encrypt(triple(u,generate_key(v),w),generate_key(x)),encrypt(z,generate_key(v))))) ),
inference(sor,[status(thm)],[87,481]),
[iquote('0:SoR:87.0,481.13')] ).
cnf(519,plain,
( ~ a_nonce(u)
| ~ intruder_message(u)
| ~ fresh_to_b(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ party_of_protocol(v)
| ~ a_stored(pair(v,generate_b_nonce(an_a_nonce)))
| ~ a_stored(pair(b,u))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(u),v))
| intruder_message(pair(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(u)),encrypt(w,generate_key(generate_b_nonce(an_a_nonce))))) ),
inference(res,[status(thm),theory(equality)],[509,12]),
[iquote('0:Res:509.10,12.0')] ).
cnf(534,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ a_nonce(x)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ intruder_message(y)
| ~ party_of_protocol(y)
| ~ a_stored(pair(y,generate_b_nonce(w)))
| ~ a_stored(pair(b,x))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(x),y))
| message(sent(a,y,pair(v,encrypt(u,generate_key(generate_b_nonce(w)))))) ),
inference(con,[status(thm)],[533]),
[iquote('0:Con:533.2')] ).
cnf(530,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ t_holds(key(generate_key(v),u))
| ~ t_holds(key(y,b))
| ~ a_stored(pair(b,v))
| intruder_message(encrypt(quadruple(u,generate_b_nonce(x),generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),y)) ),
inference(con,[status(thm)],[526]),
[iquote('0:Con:526.1')] ).
cnf(529,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ t_holds(key(generate_key(v),u))
| ~ t_holds(key(y,b))
| ~ a_stored(pair(b,v))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),generate_key(v))) ),
inference(con,[status(thm)],[527]),
[iquote('0:Con:527.1')] ).
cnf(515,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ a_nonce(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ fresh_to_b(y)
| ~ party_of_protocol(x)
| ~ t_holds(key(generate_key(w),u))
| ~ t_holds(key(z,b))
| ~ a_stored(pair(b,w))
| intruder_message(triple(encrypt(quadruple(u,generate_b_nonce(y),generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),z),encrypt(triple(b,generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),generate_key(w)),v)) ),
inference(res,[status(thm),theory(equality)],[457,12]),
[iquote('0:Res:457.13,12.0')] ).
cnf(509,plain,
( ~ a_nonce(u)
| ~ intruder_message(u)
| ~ fresh_to_b(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ party_of_protocol(v)
| ~ a_stored(pair(v,generate_b_nonce(an_a_nonce)))
| ~ a_stored(pair(b,u))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(u),v))
| message(sent(a,v,pair(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(u)),encrypt(w,generate_key(generate_b_nonce(an_a_nonce)))))) ),
inference(sor,[status(thm)],[87,499]),
[iquote('0:SoR:87.0,499.9')] ).
cnf(518,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ a_nonce(w)
| ~ intruder_message(w)
| ~ fresh_to_b(w)
| ~ intruder_message(x)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,generate_b_nonce(an_a_nonce)))
| ~ a_stored(pair(b,w))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(w),x))
| message(sent(a,x,pair(v,encrypt(u,generate_key(generate_b_nonce(an_a_nonce)))))) ),
inference(sor,[status(thm)],[99,514]),
[iquote('0:SoR:99.2,514.8')] ).
cnf(514,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ a_nonce(v)
| ~ t_holds(key(generate_key(v),u))
| ~ t_holds(key(w,b))
| ~ a_stored(pair(b,v))
| intruder_message(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),w)) ),
inference(con,[status(thm)],[510]),
[iquote('0:Con:510.1')] ).
cnf(513,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ a_nonce(v)
| ~ t_holds(key(generate_key(v),u))
| ~ t_holds(key(w,b))
| ~ a_stored(pair(b,v))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(v))) ),
inference(con,[status(thm)],[511]),
[iquote('0:Con:511.1')] ).
cnf(457,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ a_nonce(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ fresh_to_b(y)
| ~ party_of_protocol(x)
| ~ t_holds(key(generate_key(w),u))
| ~ t_holds(key(z,b))
| ~ a_stored(pair(b,w))
| message(sent(t,b,triple(encrypt(quadruple(u,generate_b_nonce(y),generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),z),encrypt(triple(b,generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),generate_key(w)),v))) ),
inference(ssi,[status(thm)],[453,31,109]),
[iquote('0:SSi:453.1,31.2,109.0')] ).
cnf(499,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ a_nonce(w)
| ~ t_holds(key(generate_key(w),u))
| ~ t_holds(key(x,b))
| ~ a_stored(pair(b,w))
| intruder_message(triple(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),x),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(w)),v)) ),
inference(res,[status(thm),theory(equality)],[456,12]),
[iquote('0:Res:456.9,12.0')] ).
cnf(503,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ a_nonce(y)
| ~ intruder_message(y)
| ~ fresh_to_b(y)
| ~ intruder_message(z)
| ~ a_nonce(x)
| ~ party_of_protocol(z)
| ~ a_stored(pair(z,x))
| ~ a_stored(pair(b,y))
| ~ t_holds(key(at,w))
| ~ t_holds(key(generate_key(y),z))
| message(sent(a,z,pair(v,encrypt(u,generate_key(x))))) ),
inference(con,[status(thm)],[502]),
[iquote('0:Con:502.4')] ).
cnf(498,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(u)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ a_nonce(w)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ intruder_message(y)
| ~ t_holds(key(generate_key(w),u))
| ~ t_holds(key(z,y))
| ~ a_stored(pair(b,w))
| intruder_message(encrypt(quadruple(u,v,generate_key(v),x),z)) ),
inference(con,[status(thm)],[494]),
[iquote('0:Con:494.2')] ).
cnf(497,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(u)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ a_nonce(w)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ intruder_message(y)
| ~ t_holds(key(generate_key(w),u))
| ~ t_holds(key(z,y))
| ~ a_stored(pair(b,w))
| intruder_message(encrypt(triple(y,generate_key(v),x),generate_key(w))) ),
inference(con,[status(thm)],[495]),
[iquote('0:Con:495.2')] ).
cnf(456,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ a_nonce(w)
| ~ t_holds(key(generate_key(w),u))
| ~ t_holds(key(x,b))
| ~ a_stored(pair(b,w))
| message(sent(t,b,triple(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),x),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(w)),v))) ),
inference(ssi,[status(thm)],[454,31,6,29,65,109]),
[iquote('0:SSi:454.1,31.0,6.0,29.0,65.2,109.0,6.0,29.0,65.0')] ).
cnf(481,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ fresh_to_b(x)
| ~ intruder_message(x)
| ~ a_nonce(x)
| ~ intruder_message(y)
| ~ intruder_message(v)
| ~ intruder_message(z)
| ~ t_holds(key(generate_key(x),u))
| ~ t_holds(key(x1,z))
| ~ a_stored(pair(b,x))
| intruder_message(triple(encrypt(quadruple(u,v,generate_key(v),y),x1),encrypt(triple(z,generate_key(v),y),generate_key(x)),w)) ),
inference(res,[status(thm),theory(equality)],[455,12]),
[iquote('0:Res:455.13,12.0')] ).
cnf(486,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ fresh_to_b(x)
| ~ intruder_message(x)
| ~ a_nonce(x)
| ~ intruder_message(y)
| ~ intruder_message(v)
| ~ t_holds(key(generate_key(x),u))
| ~ a_stored(pair(b,x))
| ~ a_stored(pair(u,v))
| intruder_message(pair(encrypt(triple(a,generate_key(v),y),generate_key(x)),encrypt(w,generate_key(v)))) ),
inference(res,[status(thm),theory(equality)],[484,12]),
[iquote('0:Res:484.12,12.0')] ).
cnf(484,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ fresh_to_b(x)
| ~ intruder_message(x)
| ~ a_nonce(x)
| ~ intruder_message(y)
| ~ intruder_message(v)
| ~ t_holds(key(generate_key(x),u))
| ~ a_stored(pair(b,x))
| ~ a_stored(pair(u,v))
| message(sent(a,u,pair(encrypt(triple(a,generate_key(v),y),generate_key(x)),encrypt(w,generate_key(v))))) ),
inference(mrr,[status(thm)],[483,8]),
[iquote('0:MRR:483.10,8.0')] ).
cnf(480,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ party_of_protocol(w)
| ~ a_stored(pair(w,generate_b_nonce(v)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(an_a_nonce),w))
| intruder_message(pair(encrypt(triple(b,generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),generate_key(an_a_nonce)),encrypt(x,generate_key(generate_b_nonce(v))))) ),
inference(res,[status(thm),theory(equality)],[466,12]),
[iquote('0:Res:466.10,12.0')] ).
cnf(455,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ fresh_to_b(x)
| ~ intruder_message(x)
| ~ a_nonce(x)
| ~ intruder_message(y)
| ~ intruder_message(v)
| ~ intruder_message(z)
| ~ t_holds(key(generate_key(x),u))
| ~ t_holds(key(x1,z))
| ~ a_stored(pair(b,x))
| message(sent(t,z,triple(encrypt(quadruple(u,v,generate_key(v),y),x1),encrypt(triple(z,generate_key(v),y),generate_key(x)),w))) ),
inference(sor,[status(thm)],[203,23]),
[iquote('0:SoR:203.7,23.3')] ).
cnf(466,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ party_of_protocol(w)
| ~ a_stored(pair(w,generate_b_nonce(v)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(an_a_nonce),w))
| message(sent(a,w,pair(encrypt(triple(b,generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),generate_key(an_a_nonce)),encrypt(x,generate_key(generate_b_nonce(v)))))) ),
inference(sor,[status(thm)],[87,427]),
[iquote('0:SoR:87.0,427.9')] ).
cnf(477,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,generate_b_nonce(w)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(an_a_nonce),x))
| intruder_message(pair(v,encrypt(u,generate_key(generate_b_nonce(w))))) ),
inference(res,[status(thm),theory(equality)],[475,12]),
[iquote('0:Res:475.9,12.0')] ).
cnf(475,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,generate_b_nonce(w)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(an_a_nonce),x))
| message(sent(a,x,pair(v,encrypt(u,generate_key(generate_b_nonce(w)))))) ),
inference(con,[status(thm)],[474]),
[iquote('0:Con:474.2')] ).
cnf(471,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ fresh_to_b(w)
| ~ party_of_protocol(v)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(x,b))
| intruder_message(encrypt(quadruple(u,generate_b_nonce(w),generate_key(generate_b_nonce(w)),encrypt(triple(v,w,generate_expiration_time(w)),bt)),x)) ),
inference(con,[status(thm)],[467]),
[iquote('0:Con:467.1')] ).
cnf(470,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ fresh_to_b(w)
| ~ party_of_protocol(v)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(x,b))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(w)),encrypt(triple(v,w,generate_expiration_time(w)),bt)),generate_key(an_a_nonce))) ),
inference(con,[status(thm)],[468]),
[iquote('0:Con:468.1')] ).
cnf(427,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(y,b))
| intruder_message(triple(encrypt(quadruple(u,generate_b_nonce(x),generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),y),encrypt(triple(b,generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),generate_key(an_a_nonce)),v)) ),
inference(res,[status(thm),theory(equality)],[274,12]),
[iquote('0:Res:274.9,12.0')] ).
cnf(459,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ party_of_protocol(u)
| ~ a_stored(pair(u,generate_b_nonce(an_a_nonce)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(an_a_nonce),u))
| intruder_message(pair(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(an_a_nonce)),encrypt(v,generate_key(generate_b_nonce(an_a_nonce))))) ),
inference(res,[status(thm),theory(equality)],[432,12]),
[iquote('0:Res:432.6,12.0')] ).
cnf(432,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ party_of_protocol(u)
| ~ a_stored(pair(u,generate_b_nonce(an_a_nonce)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(an_a_nonce),u))
| message(sent(a,u,pair(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(an_a_nonce)),encrypt(v,generate_key(generate_b_nonce(an_a_nonce)))))) ),
inference(sor,[status(thm)],[87,426]),
[iquote('0:SoR:87.0,426.5')] ).
cnf(442,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ party_of_protocol(w)
| ~ a_stored(pair(w,generate_b_nonce(an_a_nonce)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(an_a_nonce),w))
| intruder_message(pair(v,encrypt(u,generate_key(generate_b_nonce(an_a_nonce))))) ),
inference(res,[status(thm),theory(equality)],[440,12]),
[iquote('0:Res:440.7,12.0')] ).
cnf(203,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ fresh_to_b(x)
| ~ intruder_message(x)
| ~ a_nonce(x)
| ~ intruder_message(triple(y,v,z))
| ~ t_holds(key(generate_key(x),u))
| ~ t_holds(key(x1,y))
| ~ a_stored(pair(b,x))
| message(sent(t,y,triple(encrypt(quadruple(u,v,generate_key(v),z),x1),encrypt(triple(y,generate_key(v),z),generate_key(x)),w))) ),
inference(sor,[status(thm)],[104,198]),
[iquote('0:SoR:104.2,198.5')] ).
cnf(440,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ party_of_protocol(w)
| ~ a_stored(pair(w,generate_b_nonce(an_a_nonce)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(generate_key(an_a_nonce),w))
| message(sent(a,w,pair(v,encrypt(u,generate_key(generate_b_nonce(an_a_nonce)))))) ),
inference(sor,[status(thm)],[99,437]),
[iquote('0:SoR:99.2,437.4')] ).
cnf(437,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(v,b))
| intruder_message(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),v)) ),
inference(con,[status(thm)],[433]),
[iquote('0:Con:433.1')] ).
cnf(436,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(v,b))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(an_a_nonce))) ),
inference(con,[status(thm)],[434]),
[iquote('0:Con:434.1')] ).
cnf(426,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(w,b))
| intruder_message(triple(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),w),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(an_a_nonce)),v)) ),
inference(res,[status(thm),theory(equality)],[273,12]),
[iquote('0:Res:273.5,12.0')] ).
cnf(274,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(y,b))
| message(sent(t,b,triple(encrypt(quadruple(u,generate_b_nonce(x),generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),y),encrypt(triple(b,generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),generate_key(an_a_nonce)),v))) ),
inference(ssi,[status(thm)],[270,31,109]),
[iquote('0:SSi:270.1,31.2,109.0')] ).
cnf(273,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(w,b))
| message(sent(t,b,triple(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),w),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),generate_key(an_a_nonce)),v))) ),
inference(ssi,[status(thm)],[271,31,6,29,65,109]),
[iquote('0:SSi:271.1,31.0,6.0,29.0,65.2,109.0,6.0,29.0,65.0')] ).
cnf(424,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ t_holds(key(at,u))
| intruder_message(encrypt(triple(u,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ),
inference(con,[status(thm)],[422]),
[iquote('0:Con:422.2')] ).
cnf(420,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ t_holds(key(at,u))
| intruder_message(pair(encrypt(triple(u,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(v,generate_key(an_a_nonce)))) ),
inference(mrr,[status(thm)],[419,9]),
[iquote('0:MRR:419.4,9.0')] ).
cnf(415,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ a_nonce(v)
| ~ party_of_protocol(w)
| ~ a_stored(pair(w,v))
| ~ t_holds(key(at,u))
| ~ t_holds(key(bt,w))
| intruder_message(pair(encrypt(triple(u,generate_key(v),generate_expiration_time(v)),bt),encrypt(x,generate_key(v)))) ),
inference(res,[status(thm),theory(equality)],[367,12]),
[iquote('0:Res:367.11,12.0')] ).
cnf(412,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,generate_b_nonce(v)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(w,x))
| intruder_message(pair(encrypt(triple(b,generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),w),encrypt(y,generate_key(generate_b_nonce(v))))) ),
inference(res,[status(thm),theory(equality)],[345,12]),
[iquote('0:Res:345.11,12.0')] ).
cnf(367,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ a_nonce(v)
| ~ party_of_protocol(w)
| ~ a_stored(pair(w,v))
| ~ t_holds(key(at,u))
| ~ t_holds(key(bt,w))
| message(sent(a,w,pair(encrypt(triple(u,generate_key(v),generate_expiration_time(v)),bt),encrypt(x,generate_key(v))))) ),
inference(sor,[status(thm)],[87,319]),
[iquote('0:SoR:87.0,319.10')] ).
cnf(413,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ a_nonce(v)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,v))
| ~ t_holds(key(at,u))
| ~ t_holds(key(generate_key(an_a_nonce),x))
| intruder_message(pair(encrypt(triple(u,generate_key(v),w),generate_key(an_a_nonce)),encrypt(y,generate_key(v)))) ),
inference(res,[status(thm),theory(equality)],[402,12]),
[iquote('0:Res:402.10,12.0')] ).
cnf(402,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ a_nonce(v)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,v))
| ~ t_holds(key(at,u))
| ~ t_holds(key(generate_key(an_a_nonce),x))
| message(sent(a,x,pair(encrypt(triple(u,generate_key(v),w),generate_key(an_a_nonce)),encrypt(y,generate_key(v))))) ),
inference(sor,[status(thm)],[87,389]),
[iquote('0:SoR:87.0,389.9')] ).
cnf(397,plain,
( ~ intruder_message(bt)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ fresh_to_b(w)
| ~ party_of_protocol(v)
| message(sent(t,b,triple(encrypt(quadruple(b,generate_b_nonce(w),generate_key(generate_b_nonce(w)),encrypt(triple(v,w,generate_expiration_time(w)),bt)),bt),encrypt(triple(b,generate_key(generate_b_nonce(w)),encrypt(triple(v,w,generate_expiration_time(w)),bt)),bt),u))) ),
inference(con,[status(thm)],[396]),
[iquote('0:Con:396.2')] ).
cnf(345,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,generate_b_nonce(v)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(w,x))
| message(sent(a,x,pair(encrypt(triple(b,generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),w),encrypt(y,generate_key(generate_b_nonce(v)))))) ),
inference(sor,[status(thm)],[87,252]),
[iquote('0:SoR:87.0,252.10')] ).
cnf(411,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ a_nonce(x)
| ~ party_of_protocol(y)
| ~ a_stored(pair(y,x))
| ~ t_holds(key(at,w))
| ~ t_holds(key(generate_key(an_a_nonce),y))
| message(sent(a,y,pair(v,encrypt(u,generate_key(x))))) ),
inference(con,[status(thm)],[410]),
[iquote('0:Con:410.4')] ).
cnf(407,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(v)
| ~ intruder_message(x)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(y,x))
| intruder_message(encrypt(quadruple(u,v,generate_key(v),w),y)) ),
inference(con,[status(thm)],[403]),
[iquote('0:Con:403.2')] ).
cnf(406,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(v)
| ~ intruder_message(x)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(y,x))
| intruder_message(encrypt(triple(x,generate_key(v),w),generate_key(an_a_nonce))) ),
inference(con,[status(thm)],[404]),
[iquote('0:Con:404.2')] ).
cnf(389,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ intruder_message(y)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(z,y))
| intruder_message(triple(encrypt(quadruple(u,v,generate_key(v),x),z),encrypt(triple(y,generate_key(v),x),generate_key(an_a_nonce)),w)) ),
inference(res,[status(thm),theory(equality)],[272,12]),
[iquote('0:Res:272.9,12.0')] ).
cnf(333,plain,
( ~ intruder_message(u)
| ~ party_of_protocol(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ intruder_holds(key(bt,v))
| message(sent(t,b,triple(encrypt(quadruple(b,generate_b_nonce(x),generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),bt),encrypt(triple(b,generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),bt),u))) ),
inference(res,[status(thm),theory(equality)],[9,264]),
[iquote('0:Res:9.0,264.6')] ).
cnf(393,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ a_stored(pair(u,v))
| intruder_message(pair(encrypt(triple(a,generate_key(v),x),generate_key(an_a_nonce)),encrypt(w,generate_key(v)))) ),
inference(res,[status(thm),theory(equality)],[392,12]),
[iquote('0:Res:392.8,12.0')] ).
cnf(392,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ a_stored(pair(u,v))
| message(sent(a,u,pair(encrypt(triple(a,generate_key(v),x),generate_key(an_a_nonce)),encrypt(w,generate_key(v))))) ),
inference(mrr,[status(thm)],[391,8]),
[iquote('0:MRR:391.7,8.0')] ).
cnf(272,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ intruder_message(y)
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(z,y))
| message(sent(t,y,triple(encrypt(quadruple(u,v,generate_key(v),x),z),encrypt(triple(y,generate_key(v),x),generate_key(an_a_nonce)),w))) ),
inference(sor,[status(thm)],[139,23]),
[iquote('0:SoR:139.4,23.3')] ).
cnf(388,plain,
( ~ intruder_message(at)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ fresh_to_b(w)
| ~ party_of_protocol(v)
| message(sent(t,b,triple(encrypt(quadruple(a,generate_b_nonce(w),generate_key(generate_b_nonce(w)),encrypt(triple(v,w,generate_expiration_time(w)),bt)),bt),encrypt(triple(b,generate_key(generate_b_nonce(w)),encrypt(triple(v,w,generate_expiration_time(w)),bt)),at),u))) ),
inference(con,[status(thm)],[387]),
[iquote('0:Con:387.2')] ).
cnf(328,plain,
( ~ intruder_message(u)
| ~ party_of_protocol(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ intruder_holds(key(at,v))
| message(sent(t,b,triple(encrypt(quadruple(a,generate_b_nonce(x),generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),bt),encrypt(triple(b,generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),at),u))) ),
inference(res,[status(thm),theory(equality)],[9,263]),
[iquote('0:Res:9.0,263.6')] ).
cnf(384,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ t_holds(key(at,u))
| ~ t_holds(key(w,b))
| intruder_message(encrypt(triple(u,generate_key(an_a_nonce),v),w)) ),
inference(con,[status(thm)],[381]),
[iquote('0:Con:381.3')] ).
cnf(379,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ t_holds(key(at,u))
| ~ t_holds(key(w,b))
| intruder_message(pair(encrypt(triple(u,generate_key(an_a_nonce),v),w),encrypt(x,generate_key(an_a_nonce)))) ),
inference(ssi,[status(thm)],[378,5,89,6,29,65]),
[iquote('0:SSi:378.7,378.6,378.4,378.1,5.0,89.0,6.0,29.0,65.0,5.0,89.0,6.0,29.0,65.0')] ).
cnf(375,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ intruder_message(z)
| ~ a_nonce(v)
| ~ party_of_protocol(y)
| ~ a_stored(pair(y,v))
| ~ t_holds(key(at,u))
| ~ t_holds(key(x,y))
| intruder_message(pair(encrypt(triple(u,generate_key(v),w),x),encrypt(z,generate_key(v)))) ),
inference(res,[status(thm),theory(equality)],[285,12]),
[iquote('0:Res:285.11,12.0')] ).
cnf(373,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ fresh_to_b(x)
| ~ intruder_message(x)
| ~ intruder_message(w)
| ~ intruder_message(y)
| ~ a_nonce(x)
| ~ party_of_protocol(y)
| ~ a_stored(pair(y,x))
| ~ t_holds(key(at,w))
| ~ t_holds(key(bt,y))
| message(sent(a,y,pair(v,encrypt(u,generate_key(x))))) ),
inference(sor,[status(thm)],[99,372]),
[iquote('0:SoR:99.2,372.9')] ).
cnf(285,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ intruder_message(z)
| ~ a_nonce(v)
| ~ party_of_protocol(y)
| ~ a_stored(pair(y,v))
| ~ t_holds(key(at,u))
| ~ t_holds(key(x,y))
| message(sent(a,y,pair(encrypt(triple(u,generate_key(v),w),x),encrypt(z,generate_key(v))))) ),
inference(sor,[status(thm)],[87,199]),
[iquote('0:SoR:87.0,199.10')] ).
cnf(362,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(w)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ party_of_protocol(y)
| ~ a_stored(pair(y,generate_b_nonce(w)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(x,y))
| message(sent(a,y,pair(v,encrypt(u,generate_key(generate_b_nonce(w)))))) ),
inference(con,[status(thm)],[357]),
[iquote('0:Con:357.2')] ).
cnf(372,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ party_of_protocol(w)
| ~ t_holds(key(bt,u))
| ~ t_holds(key(x,w))
| intruder_message(encrypt(quadruple(u,v,generate_key(v),generate_expiration_time(v)),x)) ),
inference(con,[status(thm)],[368]),
[iquote('0:Con:368.2')] ).
cnf(361,plain,
( ~ intruder_message(bt)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ party_of_protocol(u)
| ~ t_holds(key(w,b))
| intruder_message(encrypt(quadruple(b,generate_b_nonce(v),generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),w)) ),
inference(ssi,[status(thm)],[358,5,89]),
[iquote('0:SSi:358.1,358.0,5.0,89.0,5.0,89.0')] ).
cnf(360,plain,
( ~ intruder_message(at)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ party_of_protocol(u)
| ~ t_holds(key(w,b))
| intruder_message(encrypt(quadruple(a,generate_b_nonce(v),generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),w)) ),
inference(ssi,[status(thm)],[359,1,64]),
[iquote('0:SSi:359.1,359.0,1.0,64.0,1.0,64.0')] ).
cnf(319,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ party_of_protocol(x)
| ~ t_holds(key(bt,u))
| ~ t_holds(key(y,x))
| intruder_message(triple(encrypt(quadruple(u,v,generate_key(v),generate_expiration_time(v)),y),encrypt(triple(x,generate_key(v),generate_expiration_time(v)),bt),w)) ),
inference(res,[status(thm),theory(equality)],[133,12]),
[iquote('0:Res:133.10,12.0')] ).
cnf(350,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ t_holds(key(v,u))
| ~ t_holds(key(y,b))
| intruder_message(encrypt(quadruple(u,generate_b_nonce(x),generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),y)) ),
inference(con,[status(thm)],[346]),
[iquote('0:Con:346.1')] ).
cnf(355,plain,
( ~ intruder_message(bt)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ party_of_protocol(u)
| ~ t_holds(key(w,b))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),bt)) ),
inference(ssi,[status(thm)],[352,5,89]),
[iquote('0:SSi:352.1,352.0,5.0,89.0,5.0,89.0')] ).
cnf(354,plain,
( ~ intruder_message(at)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ party_of_protocol(u)
| ~ t_holds(key(w,b))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(v)),encrypt(triple(u,v,generate_expiration_time(v)),bt)),at)) ),
inference(ssi,[status(thm)],[353,1,64]),
[iquote('0:SSi:353.1,353.0,1.0,64.0,1.0,64.0')] ).
cnf(349,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ t_holds(key(v,u))
| ~ t_holds(key(y,b))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),v)) ),
inference(con,[status(thm)],[347]),
[iquote('0:Con:347.1')] ).
cnf(252,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ fresh_to_b(y)
| ~ party_of_protocol(x)
| ~ t_holds(key(w,u))
| ~ t_holds(key(z,b))
| intruder_message(triple(encrypt(quadruple(u,generate_b_nonce(y),generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),z),encrypt(triple(b,generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),w),v)) ),
inference(res,[status(thm),theory(equality)],[158,12]),
[iquote('0:Res:158.10,12.0')] ).
cnf(339,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ party_of_protocol(v)
| ~ a_stored(pair(v,generate_b_nonce(an_a_nonce)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(u,v))
| intruder_message(pair(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),u),encrypt(w,generate_key(generate_b_nonce(an_a_nonce))))) ),
inference(res,[status(thm),theory(equality)],[307,12]),
[iquote('0:Res:307.7,12.0')] ).
cnf(307,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ party_of_protocol(v)
| ~ a_stored(pair(v,generate_b_nonce(an_a_nonce)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(u,v))
| message(sent(a,v,pair(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),u),encrypt(w,generate_key(generate_b_nonce(an_a_nonce)))))) ),
inference(sor,[status(thm)],[87,212]),
[iquote('0:SoR:87.0,212.6')] ).
cnf(302,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ intruder_message(z)
| ~ a_nonce(x)
| ~ party_of_protocol(z)
| ~ a_stored(pair(z,x))
| ~ t_holds(key(at,w))
| ~ t_holds(key(y,z))
| message(sent(a,z,pair(v,encrypt(u,generate_key(x))))) ),
inference(con,[status(thm)],[297]),
[iquote('0:Con:297.4')] ).
cnf(332,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ fresh_to_b(u)
| ~ a_stored(pair(b,u))
| intruder_message(pair(encrypt(triple(a,generate_key(u),generate_expiration_time(u)),bt),encrypt(v,generate_key(u)))) ),
inference(ssi,[status(thm)],[331,5,89]),
[iquote('0:SSi:331.3,331.0,5.0,89.0,5.0,89.0')] ).
cnf(264,plain,
( ~ intruder_message(u)
| ~ party_of_protocol(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ t_holds(key(y,b))
| ~ intruder_holds(key(bt,v))
| message(sent(t,b,triple(encrypt(quadruple(b,generate_b_nonce(x),generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),y),encrypt(triple(b,generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),bt),u))) ),
inference(ssi,[status(thm)],[261,5,89]),
[iquote('0:SSi:261.2,261.0,5.0,89.0,5.0,89.0')] ).
cnf(329,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ t_holds(key(bt,u))
| ~ a_stored(pair(u,v))
| intruder_message(pair(encrypt(triple(a,generate_key(v),generate_expiration_time(v)),bt),encrypt(w,generate_key(v)))) ),
inference(res,[status(thm),theory(equality)],[322,12]),
[iquote('0:Res:322.8,12.0')] ).
cnf(322,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ t_holds(key(bt,u))
| ~ a_stored(pair(u,v))
| message(sent(a,u,pair(encrypt(triple(a,generate_key(v),generate_expiration_time(v)),bt),encrypt(w,generate_key(v))))) ),
inference(mrr,[status(thm)],[321,8]),
[iquote('0:MRR:321.7,8.0')] ).
cnf(280,plain,
( ~ intruder_message(bt)
| ~ intruder_message(u)
| ~ party_of_protocol(v)
| message(sent(t,b,triple(encrypt(quadruple(b,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),bt),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),bt),u))) ),
inference(obv,[status(thm),theory(equality)],[279]),
[iquote('0:Obv:279.0')] ).
cnf(323,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ party_of_protocol(x)
| ~ a_stored(pair(x,generate_b_nonce(an_a_nonce)))
| ~ t_holds(key(at,b))
| ~ t_holds(key(w,x))
| message(sent(a,x,pair(v,encrypt(u,generate_key(generate_b_nonce(an_a_nonce)))))) ),
inference(sor,[status(thm)],[99,312]),
[iquote('0:SoR:99.2,312.5')] ).
cnf(263,plain,
( ~ intruder_message(u)
| ~ party_of_protocol(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ fresh_to_b(x)
| ~ party_of_protocol(w)
| ~ t_holds(key(y,b))
| ~ intruder_holds(key(at,v))
| message(sent(t,b,triple(encrypt(quadruple(a,generate_b_nonce(x),generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),y),encrypt(triple(b,generate_key(generate_b_nonce(x)),encrypt(triple(w,x,generate_expiration_time(x)),bt)),at),u))) ),
inference(ssi,[status(thm)],[262,1,64]),
[iquote('0:SSi:262.2,262.0,1.0,64.0,1.0,64.0')] ).
cnf(327,plain,
( ~ intruder_message(bt)
| ~ t_holds(key(u,b))
| intruder_message(encrypt(quadruple(b,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),u)) ),
inference(ssi,[status(thm)],[324,5,89]),
[iquote('0:SSi:324.1,324.0,5.0,89.0,5.0,89.0')] ).
cnf(326,plain,
( ~ intruder_message(at)
| ~ t_holds(key(u,b))
| intruder_message(encrypt(quadruple(a,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),u)) ),
inference(ssi,[status(thm)],[325,1,64]),
[iquote('0:SSi:325.1,325.0,1.0,64.0,1.0,64.0')] ).
cnf(312,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ t_holds(key(v,u))
| ~ t_holds(key(w,b))
| intruder_message(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),w)) ),
inference(con,[status(thm)],[308]),
[iquote('0:Con:308.1')] ).
cnf(317,plain,
( ~ intruder_message(bt)
| ~ t_holds(key(u,b))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),bt)) ),
inference(ssi,[status(thm)],[314,5,89]),
[iquote('0:SSi:314.1,314.0,5.0,89.0,5.0,89.0')] ).
cnf(133,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ party_of_protocol(x)
| ~ t_holds(key(bt,u))
| ~ t_holds(key(y,x))
| message(sent(t,x,triple(encrypt(quadruple(u,v,generate_key(v),generate_expiration_time(v)),y),encrypt(triple(x,generate_key(v),generate_expiration_time(v)),bt),w))) ),
inference(sor,[status(thm)],[104,108]),
[iquote('0:SoR:104.2,108.4')] ).
cnf(316,plain,
( ~ intruder_message(at)
| ~ t_holds(key(u,b))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),at)) ),
inference(ssi,[status(thm)],[315,1,64]),
[iquote('0:SSi:315.1,315.0,1.0,64.0,1.0,64.0')] ).
cnf(311,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ t_holds(key(v,u))
| ~ t_holds(key(w,b))
| intruder_message(encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),v)) ),
inference(con,[status(thm)],[309]),
[iquote('0:Con:309.1')] ).
cnf(301,plain,
( ~ a_nonce(u)
| ~ intruder_message(bt)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ t_holds(key(x,w))
| intruder_message(encrypt(quadruple(b,u,generate_key(u),v),x)) ),
inference(ssi,[status(thm)],[298,5,89]),
[iquote('0:SSi:298.2,298.0,5.0,89.0,5.0,89.0')] ).
cnf(300,plain,
( ~ a_nonce(u)
| ~ intruder_message(at)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ t_holds(key(x,w))
| intruder_message(encrypt(quadruple(a,u,generate_key(u),v),x)) ),
inference(ssi,[status(thm)],[299,1,64]),
[iquote('0:SSi:299.2,299.0,1.0,64.0,1.0,64.0')] ).
cnf(212,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ t_holds(key(w,u))
| ~ t_holds(key(x,b))
| intruder_message(triple(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),x),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),w),v)) ),
inference(res,[status(thm),theory(equality)],[157,12]),
[iquote('0:Res:157.6,12.0')] ).
cnf(290,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ intruder_message(y)
| ~ t_holds(key(w,u))
| ~ t_holds(key(z,y))
| intruder_message(encrypt(quadruple(u,v,generate_key(v),x),z)) ),
inference(con,[status(thm)],[286]),
[iquote('0:Con:286.2')] ).
cnf(295,plain,
( ~ a_nonce(u)
| ~ intruder_message(bt)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ t_holds(key(x,w))
| intruder_message(encrypt(triple(w,generate_key(u),v),bt)) ),
inference(ssi,[status(thm)],[292,5,89]),
[iquote('0:SSi:292.2,292.0,5.0,89.0,5.0,89.0')] ).
cnf(294,plain,
( ~ a_nonce(u)
| ~ intruder_message(at)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ t_holds(key(x,w))
| intruder_message(encrypt(triple(w,generate_key(u),v),at)) ),
inference(ssi,[status(thm)],[293,1,64]),
[iquote('0:SSi:293.2,293.0,1.0,64.0,1.0,64.0')] ).
cnf(289,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(v)
| ~ intruder_message(y)
| ~ t_holds(key(w,u))
| ~ t_holds(key(z,y))
| intruder_message(encrypt(triple(y,generate_key(v),x),w)) ),
inference(con,[status(thm)],[287]),
[iquote('0:Con:287.2')] ).
cnf(199,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ intruder_message(v)
| ~ intruder_message(z)
| ~ t_holds(key(x,u))
| ~ t_holds(key(x1,z))
| intruder_message(triple(encrypt(quadruple(u,v,generate_key(v),y),x1),encrypt(triple(z,generate_key(v),y),x),w)) ),
inference(res,[status(thm),theory(equality)],[156,12]),
[iquote('0:Res:156.10,12.0')] ).
cnf(278,plain,
( ~ intruder_message(u)
| ~ party_of_protocol(v)
| ~ intruder_holds(key(bt,v))
| message(sent(t,b,triple(encrypt(quadruple(b,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),bt),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),bt),u))) ),
inference(res,[status(thm),theory(equality)],[9,245]),
[iquote('0:Res:9.0,245.2')] ).
cnf(245,plain,
( ~ intruder_message(u)
| ~ party_of_protocol(v)
| ~ t_holds(key(w,b))
| ~ intruder_holds(key(bt,v))
| message(sent(t,b,triple(encrypt(quadruple(b,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),w),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),bt),u))) ),
inference(ssi,[status(thm)],[242,5,89]),
[iquote('0:SSi:242.2,242.0,5.0,89.0,5.0,89.0')] ).
cnf(277,plain,
( ~ intruder_message(at)
| ~ intruder_message(u)
| ~ party_of_protocol(v)
| message(sent(t,b,triple(encrypt(quadruple(a,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),bt),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),at),u))) ),
inference(obv,[status(thm),theory(equality)],[276]),
[iquote('0:Obv:276.0')] ).
cnf(275,plain,
( ~ intruder_message(u)
| ~ party_of_protocol(v)
| ~ intruder_holds(key(at,v))
| message(sent(t,b,triple(encrypt(quadruple(a,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),bt),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),at),u))) ),
inference(res,[status(thm),theory(equality)],[9,244]),
[iquote('0:Res:9.0,244.2')] ).
cnf(244,plain,
( ~ intruder_message(u)
| ~ party_of_protocol(v)
| ~ t_holds(key(w,b))
| ~ intruder_holds(key(at,v))
| message(sent(t,b,triple(encrypt(quadruple(a,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),w),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),at),u))) ),
inference(ssi,[status(thm)],[243,1,64]),
[iquote('0:SSi:243.2,243.0,1.0,64.0,1.0,64.0')] ).
cnf(139,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(triple(x,v,y))
| ~ t_holds(key(generate_key(an_a_nonce),u))
| ~ t_holds(key(z,x))
| message(sent(t,x,triple(encrypt(quadruple(u,v,generate_key(v),y),z),encrypt(triple(x,generate_key(v),y),generate_key(an_a_nonce)),w))) ),
inference(sor,[status(thm)],[104,132]),
[iquote('0:SoR:104.2,132.1')] ).
cnf(266,plain,
( ~ intruder_message(bt)
| ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| message(sent(t,b,triple(encrypt(quadruple(b,u,generate_key(u),x),bt),encrypt(triple(b,generate_key(u),x),bt),v))) ),
inference(obv,[status(thm),theory(equality)],[265]),
[iquote('0:Obv:265.0')] ).
cnf(258,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| ~ intruder_holds(key(bt,w))
| message(sent(t,b,triple(encrypt(quadruple(b,u,generate_key(u),x),bt),encrypt(triple(b,generate_key(u),x),bt),v))) ),
inference(ssi,[status(thm)],[255,5,89]),
[iquote('0:SSi:255.5,5.0,89.0')] ).
cnf(260,plain,
( ~ intruder_message(bt)
| ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| message(sent(t,a,triple(encrypt(quadruple(b,u,generate_key(u),x),at),encrypt(triple(a,generate_key(u),x),bt),v))) ),
inference(obv,[status(thm),theory(equality)],[259]),
[iquote('0:Obv:259.0')] ).
cnf(174,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ fresh_to_b(y)
| ~ party_of_protocol(x)
| ~ t_holds(key(z,u))
| ~ t_holds(key(x1,b))
| ~ intruder_holds(key(z,w))
| message(sent(t,b,triple(encrypt(quadruple(u,generate_b_nonce(y),generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),x1),encrypt(triple(b,generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),z),v))) ),
inference(ssi,[status(thm)],[170,31,109]),
[iquote('0:SSi:170.1,31.2,109.0')] ).
cnf(257,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| ~ intruder_holds(key(bt,w))
| message(sent(t,a,triple(encrypt(quadruple(b,u,generate_key(u),x),at),encrypt(triple(a,generate_key(u),x),bt),v))) ),
inference(ssi,[status(thm)],[256,1,64]),
[iquote('0:SSi:256.5,1.0,64.0')] ).
cnf(232,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| ~ intruder_message(y)
| ~ t_holds(key(z,y))
| ~ intruder_holds(key(bt,w))
| message(sent(t,y,triple(encrypt(quadruple(b,u,generate_key(u),x),z),encrypt(triple(y,generate_key(u),x),bt),v))) ),
inference(ssi,[status(thm)],[229,5,89]),
[iquote('0:SSi:229.3,229.0,5.0,89.0,5.0,89.0')] ).
cnf(254,plain,
( ~ intruder_message(at)
| ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| message(sent(t,b,triple(encrypt(quadruple(a,u,generate_key(u),x),bt),encrypt(triple(b,generate_key(u),x),at),v))) ),
inference(obv,[status(thm),theory(equality)],[253]),
[iquote('0:Obv:253.0')] ).
cnf(249,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| ~ intruder_holds(key(at,w))
| message(sent(t,b,triple(encrypt(quadruple(a,u,generate_key(u),x),bt),encrypt(triple(b,generate_key(u),x),at),v))) ),
inference(ssi,[status(thm)],[246,5,89]),
[iquote('0:SSi:246.5,5.0,89.0')] ).
cnf(158,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ fresh_to_b(y)
| ~ party_of_protocol(x)
| ~ t_holds(key(w,u))
| ~ t_holds(key(z,b))
| message(sent(t,b,triple(encrypt(quadruple(u,generate_b_nonce(y),generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),z),encrypt(triple(b,generate_key(generate_b_nonce(y)),encrypt(triple(x,y,generate_expiration_time(y)),bt)),w),v))) ),
inference(ssi,[status(thm)],[154,31,109]),
[iquote('0:SSi:154.1,31.2,109.0')] ).
cnf(251,plain,
( ~ intruder_message(at)
| ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| message(sent(t,a,triple(encrypt(quadruple(a,u,generate_key(u),x),at),encrypt(triple(a,generate_key(u),x),at),v))) ),
inference(obv,[status(thm),theory(equality)],[250]),
[iquote('0:Obv:250.0')] ).
cnf(248,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| ~ intruder_holds(key(at,w))
| message(sent(t,a,triple(encrypt(quadruple(a,u,generate_key(u),x),at),encrypt(triple(a,generate_key(u),x),at),v))) ),
inference(ssi,[status(thm)],[247,1,64]),
[iquote('0:SSi:247.5,1.0,64.0')] ).
cnf(231,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(u)
| ~ intruder_message(y)
| ~ t_holds(key(z,y))
| ~ intruder_holds(key(at,w))
| message(sent(t,y,triple(encrypt(quadruple(a,u,generate_key(u),x),z),encrypt(triple(y,generate_key(u),x),at),v))) ),
inference(ssi,[status(thm)],[230,1,64]),
[iquote('0:SSi:230.3,230.0,1.0,64.0,1.0,64.0')] ).
cnf(241,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ intruder_message(bt)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ a_stored(pair(b,u))
| intruder_message(pair(encrypt(triple(a,generate_key(u),w),bt),encrypt(v,generate_key(u)))) ),
inference(ssi,[status(thm)],[238,5,89]),
[iquote('0:SSi:238.3,238.0,5.0,89.0,5.0,89.0')] ).
cnf(173,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ party_of_protocol(w)
| ~ t_holds(key(x,u))
| ~ t_holds(key(y,b))
| ~ intruder_holds(key(x,w))
| message(sent(t,b,triple(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),y),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),x),v))) ),
inference(ssi,[status(thm)],[171,31,6,29,65,109]),
[iquote('0:SSi:171.1,31.0,6.0,29.0,65.2,109.0,6.0,29.0,65.0')] ).
cnf(240,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ intruder_message(at)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ a_stored(pair(a,u))
| intruder_message(pair(encrypt(triple(a,generate_key(u),w),at),encrypt(v,generate_key(u)))) ),
inference(ssi,[status(thm)],[239,1,64]),
[iquote('0:SSi:239.3,239.0,1.0,64.0,1.0,64.0')] ).
cnf(236,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ intruder_message(v)
| ~ t_holds(key(x,u))
| ~ a_stored(pair(u,v))
| intruder_message(pair(encrypt(triple(a,generate_key(v),y),x),encrypt(w,generate_key(v)))) ),
inference(res,[status(thm),theory(equality)],[202,12]),
[iquote('0:Res:202.9,12.0')] ).
cnf(202,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ intruder_message(v)
| ~ t_holds(key(x,u))
| ~ a_stored(pair(u,v))
| message(sent(a,u,pair(encrypt(triple(a,generate_key(v),y),x),encrypt(w,generate_key(v))))) ),
inference(mrr,[status(thm)],[201,8]),
[iquote('0:MRR:201.8,8.0')] ).
cnf(228,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ fresh_to_b(u)
| ~ party_of_protocol(v)
| ~ a_stored(pair(b,u))
| ~ t_holds(key(at,v))
| intruder_message(pair(encrypt(triple(v,generate_key(u),generate_expiration_time(u)),bt),encrypt(generate_b_nonce(u),generate_key(u)))) ),
inference(res,[status(thm),theory(equality)],[164,12]),
[iquote('0:Res:164.7,12.0')] ).
cnf(172,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ party_of_protocol(x)
| ~ intruder_message(y)
| ~ intruder_message(v)
| ~ intruder_message(z)
| ~ t_holds(key(x1,u))
| ~ t_holds(key(x2,z))
| ~ intruder_holds(key(x1,x))
| message(sent(t,z,triple(encrypt(quadruple(u,v,generate_key(v),y),x2),encrypt(triple(z,generate_key(v),y),x1),w))) ),
inference(sor,[status(thm)],[137,23]),
[iquote('0:SoR:137.4,23.3')] ).
cnf(164,plain,
( ~ a_nonce(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ fresh_to_b(u)
| ~ party_of_protocol(v)
| ~ a_stored(pair(b,u))
| ~ t_holds(key(at,v))
| message(sent(a,b,pair(encrypt(triple(v,generate_key(u),generate_expiration_time(u)),bt),encrypt(generate_b_nonce(u),generate_key(u))))) ),
inference(sor,[status(thm)],[87,144]),
[iquote('0:SoR:87.0,144.6')] ).
cnf(223,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ party_of_protocol(w)
| ~ a_stored(pair(w,an_a_nonce))
| ~ t_holds(key(bt,w))
| message(sent(a,w,pair(v,encrypt(u,generate_key(an_a_nonce))))) ),
inference(mrr,[status(thm)],[222,8]),
[iquote('0:MRR:222.5,8.0')] ).
cnf(221,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(u)
| ~ t_holds(key(bt,u))
| ~ t_holds(key(v,a))
| intruder_message(encrypt(quadruple(u,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),v)) ),
inference(con,[status(thm)],[217]),
[iquote('0:Con:217.1')] ).
cnf(188,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ t_holds(key(bt,u))
| ~ t_holds(key(w,a))
| intruder_message(triple(encrypt(quadruple(u,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),w),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),v)) ),
inference(res,[status(thm),theory(equality)],[138,12]),
[iquote('0:Res:138.5,12.0')] ).
cnf(157,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ intruder_message(w)
| ~ t_holds(key(w,u))
| ~ t_holds(key(x,b))
| message(sent(t,b,triple(encrypt(quadruple(u,generate_b_nonce(an_a_nonce),generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),x),encrypt(triple(b,generate_key(generate_b_nonce(an_a_nonce)),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),w),v))) ),
inference(ssi,[status(thm)],[155,31,6,29,65,109]),
[iquote('0:SSi:155.1,31.0,6.0,29.0,65.2,109.0,6.0,29.0,65.0')] ).
cnf(208,plain,
( ~ intruder_message(u)
| intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(u,generate_key(an_a_nonce)))) ),
inference(mrr,[status(thm)],[207,3]),
[iquote('0:MRR:207.1,3.0')] ).
cnf(190,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ t_holds(key(bt,u))
| ~ a_stored(pair(u,an_a_nonce))
| message(sent(a,u,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(v,generate_key(an_a_nonce))))) ),
inference(mrr,[status(thm)],[189,8]),
[iquote('0:MRR:189.4,8.0')] ).
cnf(198,plain,
( ~ intruder_message(u)
| ~ a_nonce(v)
| ~ intruder_message(v)
| ~ fresh_to_b(v)
| ~ a_stored(pair(b,v))
| intruder_message(encrypt(u,generate_key(v))) ),
inference(con,[status(thm)],[197]),
[iquote('0:Con:197.1')] ).
cnf(156,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ intruder_message(v)
| ~ intruder_message(z)
| ~ t_holds(key(x,u))
| ~ t_holds(key(x1,z))
| message(sent(t,z,triple(encrypt(quadruple(u,v,generate_key(v),y),x1),encrypt(triple(z,generate_key(v),y),x),w))) ),
inference(sor,[status(thm)],[136,23]),
[iquote('0:SoR:136.4,23.3')] ).
cnf(193,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ a_nonce(w)
| ~ intruder_message(w)
| ~ fresh_to_b(w)
| ~ a_stored(pair(b,w))
| intruder_message(pair(v,encrypt(u,generate_key(w)))) ),
inference(res,[status(thm),theory(equality)],[191,12]),
[iquote('0:Res:191.6,12.0')] ).
cnf(191,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ a_nonce(w)
| ~ intruder_message(w)
| ~ fresh_to_b(w)
| ~ a_stored(pair(b,w))
| message(sent(a,b,pair(v,encrypt(u,generate_key(w))))) ),
inference(sor,[status(thm)],[99,186]),
[iquote('0:SoR:99.2,186.3')] ).
cnf(187,plain,
( ~ fresh_to_b(u)
| ~ intruder_message(u)
| ~ a_nonce(u)
| intruder_message(encrypt(quadruple(b,u,generate_key(u),generate_expiration_time(u)),bt)) ),
inference(ssi,[status(thm)],[184,5,89]),
[iquote('0:SSi:184.3,184.0,5.0,89.0,5.0,89.0')] ).
cnf(186,plain,
( ~ fresh_to_b(u)
| ~ intruder_message(u)
| ~ a_nonce(u)
| intruder_message(encrypt(quadruple(b,u,generate_key(u),generate_expiration_time(u)),at)) ),
inference(ssi,[status(thm)],[185,1,64]),
[iquote('0:SSi:185.3,185.0,1.0,64.0,1.0,64.0')] ).
cnf(138,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ t_holds(key(bt,u))
| ~ t_holds(key(w,a))
| message(sent(t,a,triple(encrypt(quadruple(u,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),w),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),v))) ),
inference(ssi,[status(thm)],[135,6,29,65]),
[iquote('0:SSi:135.1,6.0,29.0,65.0')] ).
cnf(165,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ a_nonce(v)
| ~ t_holds(key(w,u))
| intruder_message(encrypt(quadruple(b,v,generate_key(v),generate_expiration_time(v)),w)) ),
inference(res,[status(thm),theory(equality)],[144,15]),
[iquote('0:Res:144.6,15.0')] ).
cnf(179,plain,
( ~ fresh_to_b(u)
| ~ intruder_message(u)
| ~ a_nonce(u)
| intruder_message(encrypt(triple(b,generate_key(u),generate_expiration_time(u)),bt)) ),
inference(ssi,[status(thm)],[176,5,89]),
[iquote('0:SSi:176.3,176.0,5.0,89.0,5.0,89.0')] ).
cnf(178,plain,
( ~ fresh_to_b(u)
| ~ intruder_message(u)
| ~ a_nonce(u)
| intruder_message(encrypt(triple(a,generate_key(u),generate_expiration_time(u)),bt)) ),
inference(ssi,[status(thm)],[177,1,64]),
[iquote('0:SSi:177.3,177.0,1.0,64.0,1.0,64.0')] ).
cnf(166,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ a_nonce(v)
| ~ t_holds(key(w,u))
| intruder_message(encrypt(triple(u,generate_key(v),generate_expiration_time(v)),bt)) ),
inference(res,[status(thm),theory(equality)],[144,16]),
[iquote('0:Res:144.6,16.0')] ).
cnf(137,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(triple(x,v,y))
| ~ party_of_protocol(z)
| ~ t_holds(key(x1,u))
| ~ t_holds(key(x2,x))
| ~ intruder_holds(key(x1,z))
| message(sent(t,x,triple(encrypt(quadruple(u,v,generate_key(v),y),x2),encrypt(triple(x,generate_key(v),y),x1),w))) ),
inference(sor,[status(thm)],[104,28]),
[iquote('0:SoR:104.2,28.3')] ).
cnf(144,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ a_nonce(v)
| ~ t_holds(key(w,u))
| intruder_message(triple(encrypt(quadruple(b,v,generate_key(v),generate_expiration_time(v)),w),encrypt(triple(u,generate_key(v),generate_expiration_time(v)),bt),generate_b_nonce(v))) ),
inference(res,[status(thm),theory(equality)],[102,12]),
[iquote('0:Res:102.6,12.0')] ).
cnf(162,plain,
( ~ intruder_message(at)
| ~ intruder_message(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| message(sent(a,b,pair(v,encrypt(u,x)))) ),
inference(obv,[status(thm),theory(equality)],[161]),
[iquote('0:Obv:161.0')] ).
cnf(160,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_holds(key(at,w))
| message(sent(a,b,pair(v,encrypt(u,x)))) ),
inference(ssi,[status(thm)],[159,5,89,6,29,65]),
[iquote('0:SSi:159.5,159.4,5.0,89.0,6.0,29.0,65.0')] ).
cnf(143,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ party_of_protocol(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ intruder_message(z)
| ~ a_stored(pair(z,y))
| ~ intruder_holds(key(at,w))
| message(sent(a,z,pair(v,encrypt(u,x)))) ),
inference(con,[status(thm)],[142]),
[iquote('0:Con:142.3')] ).
cnf(136,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(w)
| ~ intruder_message(u)
| ~ intruder_message(triple(x,v,y))
| ~ intruder_message(z)
| ~ t_holds(key(z,u))
| ~ t_holds(key(x1,x))
| message(sent(t,x,triple(encrypt(quadruple(u,v,generate_key(v),y),x1),encrypt(triple(x,generate_key(v),y),z),w))) ),
inference(sor,[status(thm)],[104,75]),
[iquote('0:SoR:104.2,75.2')] ).
cnf(151,plain,
( ~ fresh_to_b(u)
| ~ intruder_message(u)
| ~ a_nonce(u)
| ~ a_stored(pair(b,u))
| intruder_message(encrypt(generate_b_nonce(u),generate_key(u))) ),
inference(res,[status(thm),theory(equality)],[148,14]),
[iquote('0:Res:148.4,14.0')] ).
cnf(148,plain,
( ~ fresh_to_b(u)
| ~ intruder_message(u)
| ~ a_nonce(u)
| ~ a_stored(pair(b,u))
| intruder_message(pair(encrypt(triple(a,generate_key(u),generate_expiration_time(u)),bt),encrypt(generate_b_nonce(u),generate_key(u)))) ),
inference(res,[status(thm),theory(equality)],[147,12]),
[iquote('0:Res:147.4,12.0')] ).
cnf(147,plain,
( ~ fresh_to_b(u)
| ~ intruder_message(u)
| ~ a_nonce(u)
| ~ a_stored(pair(b,u))
| message(sent(a,b,pair(encrypt(triple(a,generate_key(u),generate_expiration_time(u)),bt),encrypt(generate_b_nonce(u),generate_key(u))))) ),
inference(mrr,[status(thm)],[146,8]),
[iquote('0:MRR:146.3,8.0')] ).
cnf(102,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| ~ a_nonce(v)
| ~ t_holds(key(w,u))
| message(sent(t,u,triple(encrypt(quadruple(b,v,generate_key(v),generate_expiration_time(v)),w),encrypt(triple(u,generate_key(v),generate_expiration_time(v)),bt),generate_b_nonce(v)))) ),
inference(mrr,[status(thm)],[101,9]),
[iquote('0:MRR:101.5,9.0')] ).
cnf(119,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(quadruple(w,x,y,z))
| ~ party_of_protocol(x1)
| ~ a_stored(pair(w,x))
| ~ intruder_holds(key(at,x1))
| message(sent(a,w,pair(v,encrypt(u,y)))) ),
inference(sor,[status(thm)],[99,28]),
[iquote('0:SoR:99.2,28.3')] ).
cnf(141,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(at)
| ~ intruder_message(w)
| ~ intruder_message(x)
| ~ intruder_message(y)
| ~ a_stored(pair(y,x))
| message(sent(a,y,pair(v,encrypt(u,w)))) ),
inference(con,[status(thm)],[140]),
[iquote('0:Con:140.3')] ).
cnf(118,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(quadruple(w,x,y,z))
| ~ intruder_message(at)
| ~ a_stored(pair(w,x))
| message(sent(a,w,pair(v,encrypt(u,y)))) ),
inference(sor,[status(thm)],[99,75]),
[iquote('0:SoR:99.2,75.2')] ).
cnf(132,plain,
( ~ intruder_message(u)
| intruder_message(encrypt(u,generate_key(an_a_nonce))) ),
inference(con,[status(thm)],[131]),
[iquote('0:Con:131.1')] ).
cnf(104,plain,
( ~ party_of_protocol(u)
| ~ a_nonce(v)
| ~ intruder_message(encrypt(triple(w,v,x),y))
| ~ intruder_message(z)
| ~ intruder_message(u)
| ~ t_holds(key(y,u))
| ~ t_holds(key(x1,w))
| message(sent(t,w,triple(encrypt(quadruple(u,v,generate_key(v),x),x1),encrypt(triple(w,generate_key(v),x),y),z))) ),
inference(sor,[status(thm)],[96,23]),
[iquote('0:SoR:96.1,23.3')] ).
cnf(127,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| intruder_message(pair(v,encrypt(u,generate_key(an_a_nonce)))) ),
inference(res,[status(thm),theory(equality)],[125,12]),
[iquote('0:Res:125.2,12.0')] ).
cnf(125,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| message(sent(a,b,pair(v,encrypt(u,generate_key(an_a_nonce))))) ),
inference(mrr,[status(thm)],[124,3,8]),
[iquote('0:MRR:124.2,124.3,3.0,8.0')] ).
cnf(121,plain,
( ~ t_holds(key(u,a))
| intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),u)) ),
inference(res,[status(thm),theory(equality)],[111,15]),
[iquote('0:Res:111.1,15.0')] ).
cnf(111,plain,
( ~ t_holds(key(u,a))
| intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),u),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))) ),
inference(res,[status(thm),theory(equality)],[95,12]),
[iquote('0:Res:95.1,12.0')] ).
cnf(99,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(encrypt(quadruple(w,x,y,z),at))
| ~ a_stored(pair(w,x))
| message(sent(a,w,pair(v,encrypt(u,y)))) ),
inference(sor,[status(thm)],[87,23]),
[iquote('0:SoR:87.0,23.3')] ).
cnf(116,plain,
intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)),
inference(res,[status(thm),theory(equality)],[114,13]),
[iquote('0:Res:114.0,13.0')] ).
cnf(117,plain,
intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))),
inference(res,[status(thm),theory(equality)],[114,14]),
[iquote('0:Res:114.0,14.0')] ).
cnf(114,plain,
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)))),
inference(res,[status(thm),theory(equality)],[113,12]),
[iquote('0:Res:113.0,12.0')] ).
cnf(113,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(mrr,[status(thm)],[112,8,3]),
[iquote('0:MRR:112.0,112.1,8.0,3.0')] ).
cnf(95,plain,
( ~ t_holds(key(u,a))
| message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),u),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))) ),
inference(mrr,[status(thm)],[94,9]),
[iquote('0:MRR:94.0,9.0')] ).
cnf(108,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| intruder_message(encrypt(triple(u,v,generate_expiration_time(v)),bt)) ),
inference(res,[status(thm),theory(equality)],[100,17]),
[iquote('0:Res:100.4,17.0')] ).
cnf(109,plain,
( ~ intruder_message(u)
| ~ fresh_to_b(u)
| intruder_message(generate_b_nonce(u)) ),
inference(ems,[status(thm)],[107,5,89]),
[iquote('0:EmS:107.0,107.3,5.0,89.0')] ).
cnf(100,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| intruder_message(triple(b,generate_b_nonce(v),encrypt(triple(u,v,generate_expiration_time(v)),bt))) ),
inference(res,[status(thm),theory(equality)],[98,12]),
[iquote('0:Res:98.4,12.0')] ).
cnf(96,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(triple(u,v,encrypt(triple(w,x,y),z)))
| ~ a_nonce(x)
| ~ t_holds(key(z,u))
| ~ t_holds(key(x1,w))
| message(sent(t,w,triple(encrypt(quadruple(u,x,generate_key(x),y),x1),encrypt(triple(w,generate_key(x),y),z),v))) ),
inference(ssi,[status(thm)],[92,10]),
[iquote('0:SSi:92.1,10.0')] ).
cnf(98,plain,
( ~ party_of_protocol(u)
| ~ fresh_to_b(v)
| ~ intruder_message(v)
| ~ intruder_message(u)
| message(sent(b,t,triple(b,generate_b_nonce(v),encrypt(triple(u,v,generate_expiration_time(v)),bt)))) ),
inference(sor,[status(thm)],[85,22]),
[iquote('0:SoR:85.1,22.2')] ).
cnf(87,plain,
( ~ intruder_message(triple(encrypt(quadruple(u,v,w,x),at),y,z))
| ~ a_stored(pair(u,v))
| message(sent(a,u,pair(y,encrypt(z,w)))) ),
inference(ssi,[status(thm)],[86,1,64,10]),
[iquote('0:SSi:86.1,86.0,1.0,64.0,10.0')] ).
cnf(85,plain,
( ~ party_of_protocol(u)
| ~ intruder_message(pair(u,v))
| ~ fresh_to_b(v)
| message(sent(b,t,triple(b,generate_b_nonce(v),encrypt(triple(u,v,generate_expiration_time(v)),bt)))) ),
inference(ssi,[status(thm)],[83,5]),
[iquote('0:SSi:83.1,5.0')] ).
cnf(91,plain,
intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
inference(res,[status(thm),theory(equality)],[88,17]),
[iquote('0:Res:88.0,17.0')] ).
cnf(11,axiom,
( ~ a_nonce(u)
| ~ t_holds(key(v,w))
| ~ t_holds(key(x,y))
| ~ message(sent(w,t,triple(w,z,encrypt(triple(y,u,x1),v))))
| message(sent(t,y,triple(encrypt(quadruple(w,u,generate_key(u),x1),x),encrypt(triple(y,generate_key(u),x1),v),z))) ),
file('SWV013-1.p',unknown),
[] ).
cnf(90,plain,
intruder_message(generate_b_nonce(an_a_nonce)),
inference(res,[status(thm),theory(equality)],[88,16]),
[iquote('0:Res:88.0,16.0')] ).
cnf(89,plain,
intruder_message(b),
inference(res,[status(thm),theory(equality)],[88,15]),
[iquote('0:Res:88.0,15.0')] ).
cnf(88,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(res,[status(thm),theory(equality)],[84,12]),
[iquote('0:Res:84.0,12.0')] ).
cnf(84,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(ssi,[status(thm)],[82,6,29,65]),
[iquote('0:SSi:82.0,6.0,29.0,65.0')] ).
cnf(4,axiom,
( ~ a_stored(pair(u,v))
| ~ message(sent(t,a,triple(encrypt(quadruple(u,v,w,x),at),y,z)))
| message(sent(a,u,pair(y,encrypt(z,w)))) ),
file('SWV013-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ fresh_to_b(u)
| ~ message(sent(v,b,pair(v,u)))
| message(sent(b,t,triple(b,generate_b_nonce(u),encrypt(triple(v,u,generate_expiration_time(u)),bt)))) ),
file('SWV013-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| ~ intruder_message(x)
| intruder_message(quadruple(u,v,w,x)) ),
file('SWV013-1.p',unknown),
[] ).
cnf(75,plain,
( ~ intruder_message(u)
| ~ intruder_message(v)
| intruder_message(encrypt(v,u)) ),
inference(ems,[status(thm)],[73,1]),
[iquote('0:EmS:73.1,1.0')] ).
cnf(25,axiom,
( ~ party_of_protocol(u)
| ~ intruder_holds(key(v,u))
| ~ intruder_message(encrypt(w,v))
| intruder_message(v) ),
file('SWV013-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| ~ intruder_holds(key(w,u))
| intruder_message(encrypt(v,w)) ),
file('SWV013-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ intruder_message(u)
| ~ intruder_message(v)
| ~ intruder_message(w)
| intruder_message(triple(u,v,w)) ),
file('SWV013-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ party_of_protocol(u)
| ~ party_of_protocol(v)
| ~ intruder_message(w)
| message(sent(u,v,w)) ),
file('SWV013-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ intruder_message(u)
| ~ intruder_message(v)
| intruder_message(pair(u,v)) ),
file('SWV013-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ party_of_protocol(u)
| ~ intruder_message(v)
| intruder_holds(key(v,u)) ),
file('SWV013-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ intruder_message(quadruple(u,v,w,x))
| intruder_message(u) ),
file('SWV013-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ intruder_message(quadruple(u,v,w,x))
| intruder_message(v) ),
file('SWV013-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ intruder_message(quadruple(u,v,w,x))
| intruder_message(w) ),
file('SWV013-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ intruder_message(quadruple(u,v,w,x))
| intruder_message(x) ),
file('SWV013-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ intruder_message(triple(u,v,w))
| intruder_message(u) ),
file('SWV013-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ intruder_message(triple(u,v,w))
| intruder_message(v) ),
file('SWV013-1.p',unknown),
[] ).
cnf(65,plain,
intruder_message(an_a_nonce),
inference(res,[status(thm),theory(equality)],[63,14]),
[iquote('0:Res:63.0,14.0')] ).
cnf(64,plain,
intruder_message(a),
inference(res,[status(thm),theory(equality)],[63,13]),
[iquote('0:Res:63.0,13.0')] ).
cnf(63,plain,
intruder_message(pair(a,an_a_nonce)),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.0')] ).
cnf(17,axiom,
( ~ intruder_message(triple(u,v,w))
| intruder_message(w) ),
file('SWV013-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ message(sent(u,v,w))
| intruder_message(w) ),
file('SWV013-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ intruder_message(pair(u,v))
| intruder_message(u) ),
file('SWV013-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ intruder_message(pair(u,v))
| intruder_message(v) ),
file('SWV013-1.p',unknown),
[] ).
cnf(2,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
file('SWV013-1.p',unknown),
[] ).
cnf(8,axiom,
t_holds(key(at,a)),
file('SWV013-1.p',unknown),
[] ).
cnf(9,axiom,
t_holds(key(bt,b)),
file('SWV013-1.p',unknown),
[] ).
cnf(3,axiom,
a_stored(pair(b,an_a_nonce)),
file('SWV013-1.p',unknown),
[] ).
cnf(30,axiom,
a_nonce(generate_expiration_time(u)),
file('SWV013-1.p',unknown),
[] ).
cnf(31,axiom,
a_nonce(generate_b_nonce(u)),
file('SWV013-1.p',unknown),
[] ).
cnf(1,axiom,
party_of_protocol(a),
file('SWV013-1.p',unknown),
[] ).
cnf(5,axiom,
party_of_protocol(b),
file('SWV013-1.p',unknown),
[] ).
cnf(10,axiom,
party_of_protocol(t),
file('SWV013-1.p',unknown),
[] ).
cnf(29,axiom,
a_nonce(an_a_nonce),
file('SWV013-1.p',unknown),
[] ).
cnf(6,axiom,
fresh_to_b(an_a_nonce),
file('SWV013-1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV013-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 11:40:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.61/0.76
% 0.61/0.76 SPASS V 3.9
% 0.61/0.76 SPASS beiseite: Completion found.
% 0.61/0.76 % SZS status CounterSatisfiable
% 0.61/0.76 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.76 SPASS derived 348 clauses, backtracked 0 clauses, performed 0 splits and kept 219 clauses.
% 0.61/0.76 SPASS allocated 77622 KBytes.
% 0.61/0.76 SPASS spent 0:00:00.42 on the problem.
% 0.61/0.76 0:00:00.04 for the input.
% 0.61/0.76 0:00:00.00 for the FLOTTER CNF translation.
% 0.61/0.76 0:00:00.06 for inferences.
% 0.61/0.76 0:00:00.00 for the backtracking.
% 0.61/0.76 0:00:00.30 for the reduction.
% 0.61/0.76
% 0.61/0.76
% 0.61/0.76 The saturated set of worked-off clauses is :
% 0.61/0.76 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------