TSTP Solution File: SWV010+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV010+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 : 0s
% DateTime : Wed Jul 20 16:22:08 EDT 2022
% Result : Satisfiable 0.42s 1.07s
% Output : Saturation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV010+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.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 % DateTime : Tue Jun 14 18:45:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.07 *** allocated 10000 integers for termspace/termends
% 0.42/1.07 *** allocated 10000 integers for clauses
% 0.42/1.07 *** allocated 10000 integers for justifications
% 0.42/1.07 Bliksem 1.12
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Automatic Strategy Selection
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Clauses:
% 0.42/1.07
% 0.42/1.07 { a_holds( key( at, t ) ) }.
% 0.42/1.07 { party_of_protocol( a ) }.
% 0.42/1.07 { message( sent( a, b, pair( a, an_a_nonce ) ) ) }.
% 0.42/1.07 { a_stored( pair( b, an_a_nonce ) ) }.
% 0.42/1.07 { ! message( sent( t, a, triple( encrypt( quadruple( T, U, Y, W ), at ), Z
% 0.42/1.07 , X ) ) ), ! a_stored( pair( T, U ) ), message( sent( a, T, pair( Z,
% 0.42/1.07 encrypt( X, Y ) ) ) ) }.
% 0.42/1.07 { ! message( sent( t, a, triple( encrypt( quadruple( T, U, Y, W ), at ), Z
% 0.42/1.07 , X ) ) ), ! a_stored( pair( T, U ) ), a_holds( key( Y, T ) ) }.
% 0.42/1.07 { b_holds( key( bt, t ) ) }.
% 0.42/1.07 { party_of_protocol( b ) }.
% 0.42/1.07 { fresh_to_b( an_a_nonce ) }.
% 0.42/1.07 { ! message( sent( X, b, pair( X, Y ) ) ), ! fresh_to_b( Y ), message( sent
% 0.42/1.07 ( b, t, triple( b, generate_b_nonce( Y ), encrypt( triple( X, Y,
% 0.42/1.07 generate_expiration_time( Y ) ), bt ) ) ) ) }.
% 0.42/1.07 { ! message( sent( X, b, pair( X, Y ) ) ), ! fresh_to_b( Y ), b_stored(
% 0.42/1.07 pair( X, Y ) ) }.
% 0.42/1.07 { ! message( sent( Y, b, pair( encrypt( triple( Y, X,
% 0.42/1.07 generate_expiration_time( Z ) ), bt ), encrypt( generate_b_nonce( Z ), X
% 0.42/1.07 ) ) ) ), ! b_stored( pair( Y, Z ) ), b_holds( key( X, Y ) ) }.
% 0.42/1.07 { t_holds( key( at, a ) ) }.
% 0.42/1.07 { t_holds( key( bt, b ) ) }.
% 0.42/1.07 { party_of_protocol( t ) }.
% 0.42/1.07 { ! message( sent( X, t, triple( X, Y, encrypt( triple( Z, T, U ), W ) ) )
% 0.42/1.07 ), ! t_holds( key( W, X ) ), ! t_holds( key( V0, Z ) ), message( sent( t
% 0.42/1.07 , Z, triple( encrypt( quadruple( X, T, generate_key( T ), U ), V0 ),
% 0.42/1.07 encrypt( triple( Z, generate_key( T ), U ), W ), Y ) ) ) }.
% 0.42/1.07
% 0.42/1.07 percentage equality = 0.000000, percentage horn = 1.000000
% 0.42/1.07 This is a near-Horn, non-equality problem
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Options Used:
% 0.42/1.07
% 0.42/1.07 useres = 1
% 0.42/1.07 useparamod = 0
% 0.42/1.07 useeqrefl = 0
% 0.42/1.07 useeqfact = 0
% 0.42/1.07 usefactor = 1
% 0.42/1.07 usesimpsplitting = 0
% 0.42/1.07 usesimpdemod = 0
% 0.42/1.07 usesimpres = 4
% 0.42/1.07
% 0.42/1.07 resimpinuse = 1000
% 0.42/1.07 resimpclauses = 20000
% 0.42/1.07 substype = standard
% 0.42/1.07 backwardsubs = 1
% 0.42/1.07 selectoldest = 5
% 0.42/1.07
% 0.42/1.07 litorderings [0] = split
% 0.42/1.07 litorderings [1] = liftord
% 0.42/1.07
% 0.42/1.07 termordering = none
% 0.42/1.07
% 0.42/1.07 litapriori = 1
% 0.42/1.07 termapriori = 0
% 0.42/1.07 litaposteriori = 0
% 0.42/1.07 termaposteriori = 0
% 0.42/1.07 demodaposteriori = 0
% 0.42/1.07 ordereqreflfact = 0
% 0.42/1.07
% 0.42/1.07 litselect = negative
% 0.42/1.07
% 0.42/1.07 maxweight = 30000
% 0.42/1.07 maxdepth = 30000
% 0.42/1.07 maxlength = 115
% 0.42/1.07 maxnrvars = 195
% 0.42/1.07 excuselevel = 0
% 0.42/1.07 increasemaxweight = 0
% 0.42/1.07
% 0.42/1.07 maxselected = 10000000
% 0.42/1.07 maxnrclauses = 10000000
% 0.42/1.07
% 0.42/1.07 showgenerated = 0
% 0.42/1.07 showkept = 0
% 0.42/1.07 showselected = 0
% 0.42/1.07 showdeleted = 0
% 0.42/1.07 showresimp = 1
% 0.42/1.07 showstatus = 2000
% 0.42/1.07
% 0.42/1.07 prologoutput = 0
% 0.42/1.07 nrgoals = 5000000
% 0.42/1.07 totalproof = 1
% 0.42/1.07
% 0.42/1.07 Symbols occurring in the translation:
% 0.42/1.07
% 0.42/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.07 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 0.42/1.07 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.07 at [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.42/1.07 t [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.42/1.07 key [37, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.42/1.07 a_holds [38, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.07 a [39, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.42/1.07 party_of_protocol [40, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.42/1.07 b [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/1.07 an_a_nonce [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.42/1.07 pair [43, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.42/1.07 sent [44, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.42/1.07 message [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.42/1.07 a_stored [46, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.42/1.07 quadruple [53, 4] (w:1, o:64, a:1, s:1, b:0),
% 0.42/1.07 encrypt [54, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.42/1.07 triple [55, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.42/1.07 bt [56, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.42/1.07 b_holds [57, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.42/1.07 fresh_to_b [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.42/1.07 generate_b_nonce [59, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.42/1.07 generate_expiration_time [60, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.42/1.07 b_stored [61, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.42/1.07 t_holds [62, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.42/1.07 generate_key [64, 1] (w:1, o:34, a:1, s:1, b:0).
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Starting Search:
% 0.42/1.07
% 0.42/1.07 Resimplifying inuse:
% 0.42/1.07 Done
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 found a saturation!
% 0.42/1.07 % SZS status Satisfiable
% 0.42/1.07 % SZS output start Saturation
% 0.42/1.07
% 0.42/1.07 (23) {G5,W5,D4,L1,V0,M1} R(22,11);r(17) { b_holds( key( generate_key(
% 0.42/1.07 an_a_nonce ), a ) ) }.
% 0.42/1.07 (22) {G4,W18,D7,L1,V0,M1} R(20,4);r(3) { message( sent( a, b, pair( encrypt
% 0.42/1.07 ( triple( a, generate_key( an_a_nonce ), generate_expiration_time(
% 0.42/1.07 an_a_nonce ) ), bt ), encrypt( generate_b_nonce( an_a_nonce ),
% 0.42/1.07 generate_key( an_a_nonce ) ) ) ) ) }.
% 0.42/1.07 (21) {G4,W5,D4,L1,V0,M1} R(20,5);r(3) { a_holds( key( generate_key(
% 0.42/1.07 an_a_nonce ), b ) ) }.
% 0.42/1.07 (20) {G3,W24,D7,L1,V0,M1} R(19,12) { message( sent( t, a, triple( encrypt(
% 0.42/1.07 quadruple( b, an_a_nonce, generate_key( an_a_nonce ),
% 0.42/1.07 generate_expiration_time( an_a_nonce ) ), at ), encrypt( triple( a,
% 0.42/1.07 generate_key( an_a_nonce ), generate_expiration_time( an_a_nonce ) ), bt
% 0.42/1.07 ), generate_b_nonce( an_a_nonce ) ) ) ) }.
% 0.42/1.07 (19) {G2,W29,D7,L2,V1,M1} R(15,18);r(13) { message( sent( t, a, triple(
% 0.42/1.07 encrypt( quadruple( b, an_a_nonce, generate_key( an_a_nonce ),
% 0.42/1.07 generate_expiration_time( an_a_nonce ) ), X ), encrypt( triple( a,
% 0.42/1.07 generate_key( an_a_nonce ), generate_expiration_time( an_a_nonce ) ), bt
% 0.42/1.07 ), generate_b_nonce( an_a_nonce ) ) ) ), ! t_holds( key( X, a ) ) }.
% 0.42/1.07 (15) {G0,W45,D7,L4,V7,M1} I { ! t_holds( key( V0, Z ) ), message( sent( t,
% 0.42/1.07 Z, triple( encrypt( quadruple( X, T, generate_key( T ), U ), V0 ),
% 0.42/1.07 encrypt( triple( Z, generate_key( T ), U ), W ), Y ) ) ), ! t_holds( key
% 0.42/1.07 ( W, X ) ), ! message( sent( X, t, triple( X, Y, encrypt( triple( Z, T, U
% 0.42/1.07 ), W ) ) ) ) }.
% 0.42/1.07 (16) {G1,W40,D7,L3,V5,M1} F(15) { message( sent( t, Y, triple( encrypt(
% 0.42/1.07 quadruple( Y, Z, generate_key( Z ), T ), X ), encrypt( triple( Y,
% 0.42/1.07 generate_key( Z ), T ), X ), U ) ) ), ! t_holds( key( X, Y ) ), ! message
% 0.42/1.07 ( sent( Y, t, triple( Y, U, encrypt( triple( Y, Z, T ), X ) ) ) ) }.
% 0.42/1.07 (18) {G1,W15,D7,L1,V0,M1} R(9,2);r(8) { message( sent( b, t, triple( b,
% 0.42/1.07 generate_b_nonce( an_a_nonce ), encrypt( triple( a, an_a_nonce,
% 0.42/1.07 generate_expiration_time( an_a_nonce ) ), bt ) ) ) ) }.
% 0.42/1.07 (9) {G0,W26,D7,L3,V2,M1} I { ! fresh_to_b( Y ), message( sent( b, t, triple
% 0.42/1.07 ( b, generate_b_nonce( Y ), encrypt( triple( X, Y,
% 0.42/1.07 generate_expiration_time( Y ) ), bt ) ) ) ), ! message( sent( X, b, pair
% 0.42/1.07 ( X, Y ) ) ) }.
% 0.42/1.07 (11) {G0,W26,D7,L3,V3,M1} I { ! b_stored( pair( Y, Z ) ), b_holds( key( X,
% 0.42/1.07 Y ) ), ! message( sent( Y, b, pair( encrypt( triple( Y, X,
% 0.42/1.07 generate_expiration_time( Z ) ), bt ), encrypt( generate_b_nonce( Z ), X
% 0.42/1.07 ) ) ) ) }.
% 0.42/1.07 (5) {G0,W24,D6,L3,V6,M1} I { ! a_stored( pair( T, U ) ), a_holds( key( Y, T
% 0.42/1.07 ) ), ! message( sent( t, a, triple( encrypt( quadruple( T, U, Y, W ), at
% 0.42/1.07 ), Z, X ) ) ) }.
% 0.42/1.07 (17) {G1,W4,D3,L1,V0,M1} R(10,2);r(8) { b_stored( pair( a, an_a_nonce ) )
% 0.42/1.07 }.
% 0.42/1.07 (10) {G0,W15,D4,L3,V2,M1} I { b_stored( pair( X, Y ) ), ! fresh_to_b( Y ),
% 0.42/1.07 ! message( sent( X, b, pair( X, Y ) ) ) }.
% 0.42/1.07 (4) {G0,W29,D6,L3,V6,M1} I { ! a_stored( pair( T, U ) ), message( sent( a,
% 0.42/1.07 T, pair( Z, encrypt( X, Y ) ) ) ), ! message( sent( t, a, triple( encrypt
% 0.42/1.07 ( quadruple( T, U, Y, W ), at ), Z, X ) ) ) }.
% 0.42/1.07 (2) {G0,W7,D4,L1,V0,M1} I { message( sent( a, b, pair( a, an_a_nonce ) ) )
% 0.42/1.07 }.
% 0.42/1.07 (3) {G0,W4,D3,L1,V0,M1} I { a_stored( pair( b, an_a_nonce ) ) }.
% 0.42/1.07 (6) {G0,W4,D3,L1,V0,M1} I { b_holds( key( bt, t ) ) }.
% 0.42/1.07 (12) {G0,W4,D3,L1,V0,M1} I { t_holds( key( at, a ) ) }.
% 0.42/1.07 (0) {G0,W4,D3,L1,V0,M1} I { a_holds( key( at, t ) ) }.
% 0.42/1.07 (13) {G0,W4,D3,L1,V0,M1} I { t_holds( key( bt, b ) ) }.
% 0.42/1.07 (1) {G0,W2,D2,L1,V0,M1} I { party_of_protocol( a ) }.
% 0.42/1.07 (7) {G0,W2,D2,L1,V0,M1} I { party_of_protocol( b ) }.
% 0.42/1.07 (8) {G0,W2,D2,L1,V0,M1} I { fresh_to_b( an_a_nonce ) }.
% 0.42/1.07 (14) {G0,W2,D2,L1,V0,M1} I { party_of_protocol( t ) }.
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 % SZS output end Saturation
% 0.42/1.07 end of saturation!
% 0.42/1.07
% 0.42/1.07 Memory use:
% 0.42/1.07
% 0.42/1.07 space for terms: 793
% 0.42/1.07 space for clauses: 2309
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 clauses generated: 24
% 0.42/1.07 clauses kept: 24
% 0.42/1.07 clauses selected: 24
% 0.42/1.07 clauses deleted: 0
% 0.42/1.07 clauses inuse deleted: 0
% 0.42/1.07
% 0.42/1.07 subsentry: 3
% 0.42/1.07 literals s-matched: 0
% 0.42/1.07 literals matched: 0
% 0.42/1.07 full subsumption: 0
% 0.42/1.07
% 0.42/1.07 checksum: -1390464446
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 Bliksem ended
%------------------------------------------------------------------------------