TSTP Solution File: SWV014-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV014-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Tue Apr 30 16:36:08 EDT 2024
% Result : Unsatisfiable 0.15s 0.34s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 142 ( 74 ~; 64 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(avatar_sat_refutation,[],[f54,f86,f107,f142,f148]) ).
fof(f148,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f143,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f50,f1]) ).
fof(f1,axiom,
party_of_protocol(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_party_of_protocol_2) ).
fof(f50,plain,
( ! [X1] : ~ party_of_protocol(X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_1
<=> ! [X1] : ~ party_of_protocol(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f142,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f139,f36]) ).
fof(f36,plain,
intruder_message(an_a_nonce),
inference(resolution,[],[f35,f16]) ).
fof(f16,axiom,
! [X0,X4] :
( ~ intruder_message(pair(X0,X4))
| intruder_message(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_pairs_19) ).
fof(f35,plain,
intruder_message(pair(a,an_a_nonce)),
inference(resolution,[],[f14,f2]) ).
fof(f2,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_sent_message_i_to_b_3) ).
fof(f14,axiom,
! [X3,X0,X4] :
( ~ message(sent(X0,X4,X3))
| intruder_message(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_can_record_17) ).
fof(f139,plain,
( ~ intruder_message(an_a_nonce)
| ~ spl0_4 ),
inference(resolution,[],[f85,f99]) ).
fof(f99,plain,
intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
inference(resolution,[],[f94,f19]) ).
fof(f19,axiom,
! [X3,X0,X4] :
( ~ intruder_message(triple(X0,X4,X3))
| intruder_message(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_triples_22) ).
fof(f94,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(resolution,[],[f87,f14]) ).
fof(f87,plain,
message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))),
inference(resolution,[],[f64,f2]) ).
fof(f64,plain,
! [X0] :
( ~ 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)))) ),
inference(resolution,[],[f7,f6]) ).
fof(f6,axiom,
fresh_to_b(an_a_nonce),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonce_a_is_fresh_to_b_9) ).
fof(f7,axiom,
! [X0,X4] :
( ~ 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)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time_10) ).
fof(f85,plain,
( ! [X0] :
( ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt))
| ~ intruder_message(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_4
<=> ! [X0] :
( ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt))
| ~ intruder_message(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f107,plain,
spl0_3,
inference(avatar_split_clause,[],[f100,f80]) ).
fof(f80,plain,
( spl0_3
<=> intruder_message(generate_b_nonce(an_a_nonce)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f100,plain,
intruder_message(generate_b_nonce(an_a_nonce)),
inference(resolution,[],[f94,f18]) ).
fof(f18,axiom,
! [X3,X0,X4] :
( ~ intruder_message(triple(X0,X4,X3))
| intruder_message(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_decomposes_triples_21) ).
fof(f86,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f78,f52,f84,f80]) ).
fof(f52,plain,
( spl0_2
<=> ! [X2,X0] :
( ~ intruder_message(X0)
| ~ intruder_message(X2)
| intruder_message(encrypt(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f78,plain,
( ! [X0] :
( ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt))
| ~ intruder_message(X0)
| ~ intruder_message(generate_b_nonce(an_a_nonce)) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f77,f41]) ).
fof(f41,plain,
! [X0] :
( ~ b_holds(key(X0,a))
| ~ intruder_message(X0) ),
inference(subsumption_resolution,[],[f40,f5]) ).
fof(f5,axiom,
party_of_protocol(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_party_of_protocol_8) ).
fof(f40,plain,
! [X0] :
( ~ intruder_message(X0)
| ~ party_of_protocol(b)
| ~ b_holds(key(X0,a)) ),
inference(resolution,[],[f29,f34]) ).
fof(f34,axiom,
! [X0] :
( ~ intruder_holds(key(X0,b))
| ~ b_holds(key(X0,a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_38) ).
fof(f29,axiom,
! [X0,X4] :
( intruder_holds(key(X0,X4))
| ~ intruder_message(X0)
| ~ party_of_protocol(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_holds_key_32) ).
fof(f77,plain,
( ! [X0] :
( b_holds(key(X0,a))
| ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt))
| ~ intruder_message(X0)
| ~ intruder_message(generate_b_nonce(an_a_nonce)) )
| ~ spl0_2 ),
inference(resolution,[],[f76,f53]) ).
fof(f53,plain,
( ! [X2,X0] :
( intruder_message(encrypt(X0,X2))
| ~ intruder_message(X2)
| ~ intruder_message(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f76,plain,
! [X0] :
( ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),X0))
| b_holds(key(X0,a))
| ~ intruder_message(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt)) ),
inference(resolution,[],[f73,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( intruder_message(pair(X0,X4))
| ~ intruder_message(X4)
| ~ intruder_message(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_composes_pairs_27) ).
fof(f73,plain,
! [X0] :
( ~ intruder_message(pair(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X0)))
| b_holds(key(X0,a)) ),
inference(subsumption_resolution,[],[f72,f1]) ).
fof(f72,plain,
! [X0] :
( b_holds(key(X0,a))
| ~ intruder_message(pair(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X0)))
| ~ party_of_protocol(a) ),
inference(subsumption_resolution,[],[f71,f5]) ).
fof(f71,plain,
! [X0] :
( b_holds(key(X0,a))
| ~ party_of_protocol(b)
| ~ intruder_message(pair(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X0)))
| ~ party_of_protocol(a) ),
inference(resolution,[],[f68,f28]) ).
fof(f28,axiom,
! [X3,X0,X4] :
( message(sent(X4,X3,X0))
| ~ party_of_protocol(X3)
| ~ intruder_message(X0)
| ~ party_of_protocol(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_message_sent_31) ).
fof(f68,plain,
! [X0] :
( ~ message(sent(a,b,pair(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X0))))
| b_holds(key(X0,a)) ),
inference(resolution,[],[f9,f61]) ).
fof(f61,plain,
b_stored(pair(a,an_a_nonce)),
inference(resolution,[],[f55,f2]) ).
fof(f55,plain,
! [X0] :
( ~ message(sent(X0,b,pair(X0,an_a_nonce)))
| b_stored(pair(X0,an_a_nonce)) ),
inference(resolution,[],[f8,f6]) ).
fof(f8,axiom,
! [X0,X4] :
( ~ fresh_to_b(X4)
| b_stored(pair(X0,X4))
| ~ message(sent(X0,b,pair(X0,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time_11) ).
fof(f9,axiom,
! [X3,X0,X4] :
( ~ b_stored(pair(X0,X3))
| b_holds(key(X4,X0))
| ~ message(sent(X0,b,pair(encrypt(triple(X0,X4,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_accepts_secure_session_key_12) ).
fof(f54,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f47,f52,f49]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ intruder_message(X0)
| ~ party_of_protocol(X1)
| intruder_message(encrypt(X0,X2))
| ~ intruder_message(X2) ),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ intruder_message(X0)
| ~ party_of_protocol(X1)
| intruder_message(encrypt(X0,X2))
| ~ intruder_message(X2)
| ~ party_of_protocol(X1) ),
inference(resolution,[],[f30,f29]) ).
fof(f30,axiom,
! [X3,X0,X4] :
( ~ intruder_holds(key(X4,X3))
| ~ intruder_message(X0)
| ~ party_of_protocol(X3)
| intruder_message(encrypt(X0,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_key_encrypts_33) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWV014-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 04:49:04 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % (31842)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (31849)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (31845)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.33 % (31844)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 % (31848)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 % (31843)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (31847)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 % (31846)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 % (31848)First to succeed.
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.34 TRYING [2]
% 0.15/0.34 TRYING [2]
% 0.15/0.34 % (31848)Refutation found. Thanks to Tanya!
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34 % (31848)------------------------------
% 0.15/0.34 % (31848)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.34 % (31848)Termination reason: Refutation
% 0.15/0.34
% 0.15/0.34 % (31848)Memory used [KB]: 864
% 0.15/0.34 % (31848)Time elapsed: 0.006 s
% 0.15/0.34 % (31848)Instructions burned: 8 (million)
% 0.15/0.34 % (31848)------------------------------
% 0.15/0.34 % (31848)------------------------------
% 0.15/0.34 % (31842)Success in time 0.021 s
%------------------------------------------------------------------------------