TSTP Solution File: SWV014-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV014-1 : 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 : n001.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 : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 56 ( 15 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 152 ( 77 ~; 71 |; 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 : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f152,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f117,f142,f145,f151]) ).
fof(f151,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f148]) ).
fof(f148,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f52,f12]) ).
fof(f12,axiom,
party_of_protocol(t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_is_party_of_protocol_15) ).
fof(f52,plain,
( ! [X2] : ~ party_of_protocol(X2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_1
<=> ! [X2] : ~ party_of_protocol(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f145,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f143,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(f143,plain,
( ~ intruder_message(an_a_nonce)
| ~ spl0_5 ),
inference(resolution,[],[f112,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] :
( ~ b_holds(key(X0,a))
| ~ intruder_message(X0)
| ~ party_of_protocol(b) ),
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(f112,plain,
( b_holds(key(an_a_nonce,a))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_5
<=> b_holds(key(an_a_nonce,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f142,plain,
( ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| ~ spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f140,f36]) ).
fof(f140,plain,
( ~ intruder_message(an_a_nonce)
| ~ spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f139,f86]) ).
fof(f86,plain,
intruder_message(generate_b_nonce(an_a_nonce)),
inference(resolution,[],[f79,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(f79,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,[],[f67,f14]) ).
fof(f67,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(subsumption_resolution,[],[f65,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(f65,plain,
( message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))))
| ~ fresh_to_b(an_a_nonce) ),
inference(resolution,[],[f7,f2]) ).
fof(f7,axiom,
! [X0,X4] :
( ~ message(sent(X0,b,pair(X0,X4)))
| ~ fresh_to_b(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(f139,plain,
( ~ intruder_message(generate_b_nonce(an_a_nonce))
| ~ intruder_message(an_a_nonce)
| ~ spl0_2
| spl0_6 ),
inference(resolution,[],[f116,f55]) ).
fof(f55,plain,
( ! [X0,X1] :
( intruder_message(encrypt(X0,X1))
| ~ intruder_message(X0)
| ~ intruder_message(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_2
<=> ! [X0,X1] :
( ~ intruder_message(X0)
| ~ intruder_message(X1)
| intruder_message(encrypt(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f116,plain,
( ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))
| spl0_6 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_6
<=> intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f117,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f108,f114,f110]) ).
fof(f108,plain,
( ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))
| b_holds(key(an_a_nonce,a)) ),
inference(subsumption_resolution,[],[f107,f1]) ).
fof(f1,axiom,
party_of_protocol(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_party_of_protocol_2) ).
fof(f107,plain,
( ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))
| ~ party_of_protocol(a)
| b_holds(key(an_a_nonce,a)) ),
inference(subsumption_resolution,[],[f105,f60]) ).
fof(f60,plain,
b_stored(pair(a,an_a_nonce)),
inference(subsumption_resolution,[],[f57,f6]) ).
fof(f57,plain,
( ~ fresh_to_b(an_a_nonce)
| b_stored(pair(a,an_a_nonce)) ),
inference(resolution,[],[f8,f2]) ).
fof(f8,axiom,
! [X0,X4] :
( ~ message(sent(X0,b,pair(X0,X4)))
| b_stored(pair(X0,X4))
| ~ fresh_to_b(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time_11) ).
fof(f105,plain,
( ~ b_stored(pair(a,an_a_nonce))
| ~ party_of_protocol(a)
| ~ intruder_message(encrypt(generate_b_nonce(an_a_nonce),an_a_nonce))
| b_holds(key(an_a_nonce,a)) ),
inference(resolution,[],[f88,f85]) ).
fof(f85,plain,
intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)),
inference(resolution,[],[f79,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(f88,plain,
! [X2,X0,X1] :
( ~ intruder_message(encrypt(triple(X0,X2,generate_expiration_time(X1)),bt))
| ~ party_of_protocol(X0)
| b_holds(key(X2,X0))
| ~ b_stored(pair(X0,X1))
| ~ intruder_message(encrypt(generate_b_nonce(X1),X2)) ),
inference(resolution,[],[f70,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( intruder_message(pair(X0,X4))
| ~ intruder_message(X0)
| ~ intruder_message(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_composes_pairs_27) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ intruder_message(pair(encrypt(triple(X0,X2,generate_expiration_time(X1)),bt),encrypt(generate_b_nonce(X1),X2)))
| ~ b_stored(pair(X0,X1))
| b_holds(key(X2,X0))
| ~ party_of_protocol(X0) ),
inference(subsumption_resolution,[],[f69,f5]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ party_of_protocol(X0)
| ~ party_of_protocol(b)
| ~ b_stored(pair(X0,X1))
| ~ intruder_message(pair(encrypt(triple(X0,X2,generate_expiration_time(X1)),bt),encrypt(generate_b_nonce(X1),X2)))
| b_holds(key(X2,X0)) ),
inference(resolution,[],[f9,f28]) ).
fof(f28,axiom,
! [X3,X0,X4] :
( message(sent(X4,X3,X0))
| ~ party_of_protocol(X4)
| ~ intruder_message(X0)
| ~ party_of_protocol(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_message_sent_31) ).
fof(f9,axiom,
! [X3,X0,X4] :
( ~ message(sent(X0,b,pair(encrypt(triple(X0,X4,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X4))))
| ~ b_stored(pair(X0,X3))
| b_holds(key(X4,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_accepts_secure_session_key_12) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f49,f54,f51]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ intruder_message(X0)
| intruder_message(encrypt(X0,X1))
| ~ party_of_protocol(X2)
| ~ intruder_message(X1) ),
inference(duplicate_literal_removal,[],[f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ intruder_message(X1)
| ~ party_of_protocol(X2)
| intruder_message(encrypt(X0,X1))
| ~ party_of_protocol(X2)
| ~ intruder_message(X0) ),
inference(resolution,[],[f30,f29]) ).
fof(f30,axiom,
! [X3,X0,X4] :
( ~ intruder_holds(key(X4,X3))
| ~ intruder_message(X0)
| intruder_message(encrypt(X0,X4))
| ~ party_of_protocol(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_key_encrypts_33) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWV014-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 19:16:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (16838)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.47 % (16837)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.48 % (16854)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.48 % (16838)Instruction limit reached!
% 0.18/0.48 % (16838)------------------------------
% 0.18/0.48 % (16838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (16838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (16838)Termination reason: Unknown
% 0.18/0.48 % (16838)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (16838)Memory used [KB]: 5373
% 0.18/0.48 % (16838)Time elapsed: 0.003 s
% 0.18/0.48 % (16838)Instructions burned: 3 (million)
% 0.18/0.48 % (16838)------------------------------
% 0.18/0.48 % (16838)------------------------------
% 0.18/0.48 % (16839)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48 % (16846)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48 % (16854)First to succeed.
% 0.18/0.49 % (16836)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (16854)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (16854)------------------------------
% 0.18/0.49 % (16854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (16854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (16854)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (16854)Memory used [KB]: 5500
% 0.18/0.49 % (16854)Time elapsed: 0.103 s
% 0.18/0.49 % (16854)Instructions burned: 4 (million)
% 0.18/0.49 % (16854)------------------------------
% 0.18/0.49 % (16854)------------------------------
% 0.18/0.49 % (16829)Success in time 0.147 s
%------------------------------------------------------------------------------