TSTP Solution File: SWV797-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV797-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 21:36:04 EDT 2022
% Result : Unsatisfiable 4.27s 4.45s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 14 ( 11 unt; 3 nHn; 14 RR)
% Number of literals : 25 ( 2 equ; 12 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 16 con; 0-3 aty)
% Number of variables : 19 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_A__trusts__NS2_0,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X),c_Message_Omsg_OMPair(Y,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,U),V))))),c_List_Oset(W,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(W,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X),c_Message_Omsg_OMPair(Y,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,U),V)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,W)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
cnf(cls_B__trusts__NS5__lemma_0,axiom,
( hBOOL(c_in(c_Event_Oevent_OSays(X,Y,c_Message_Omsg_OCrypt(Z,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(U),c_Message_Omsg_ONonce(U)))),c_List_Oset(V,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(Z,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(U),c_Message_Omsg_ONonce(U))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X),c_Message_Omsg_OMPair(W,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,Z),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,Y),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,Z),c_Message_Omsg_OAgent(X)))))))),c_List_Oset(V,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,Z),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V)),tc_Message_Omsg))
| ~ hBOOL(c_in(V,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(Y,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_B__trusts__NS5__lemma_0) ).
cnf(cls_cert__A__form_1,axiom,
( X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,Y),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,Z),c_Message_Omsg_OAgent(U)))
| ~ hBOOL(c_in(V,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(U,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,U),c_Message_Omsg_OMPair(W,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,Z),X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_6,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(5106,plain,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),
inference('UR-RESOLVE',[status(thm)],[cls_cert__A__form_1,cls_conjecture_3,cls_conjecture_1,cls_conjecture_4]) ).
cnf(5403,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
inference('UR-RESOLVE',[status(thm)],[cls_A__trusts__NS2_0,cls_conjecture_3,cls_conjecture_1,cls_conjecture_4]) ).
cnf(5535,plain,
~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_B__trusts__NS5__lemma_0,cls_conjecture_6,cls_conjecture_5,cls_conjecture_0,cls_conjecture_3,cls_conjecture_2]),5106,theory(equality)]) ).
cnf(5536,plain,
$false,
inference('REWRITE',[status(thm)],[5403,5535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV797-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jun 14 15:54:29 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T15:54:29
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-14T15:54:29
% 4.27/4.45
% 4.27/4.45
% 4.27/4.45 #||
% 4.27/4.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.27/4.45 % SZS output start Refutation
% See solution above
% 4.27/4.45 ||#
% 4.27/4.45
% 4.27/4.45 ; Summary of computation:
% 4.27/4.45 ; 12395 formulas have been input or derived (from 468 formulas).
% 4.27/4.45 ; 5536 (45%) were retained. Of these,
% 4.27/4.45 ; 251 ( 5%) were simplified or subsumed later,
% 4.27/4.45 ; 5285 (95%) are still being kept.
% 4.27/4.45 ;
% 4.27/4.45 ; Run time in seconds excluding printing time:
% 4.27/4.45 ; 0.090 2% Read assertion file (1 call)
% 4.27/4.45 ; 0.012 0% Assert (622 calls)
% 4.27/4.45 ; 0.642 16% Process new row (11,424 calls)
% 4.27/4.45 ; 0.211 5% Resolution (934 calls)
% 4.27/4.45 ; 0.084 2% Paramodulation (467 calls)
% 4.27/4.45 ; 0.000 0% Factoring (6 calls)
% 4.27/4.45 ; 0.097 2% Condensing (1,791 calls)
% 4.27/4.45 ; 1.132 29% Forward subsumption (1,791 calls)
% 4.27/4.45 ; 0.047 1% Backward subsumption (1,275 calls)
% 4.27/4.45 ; 0.020 1% Clause clause subsumption (2,581 calls)
% 4.27/4.45 ; 0.755 19% Forward simplification (11,399 calls)
% 4.27/4.45 ; 0.099 3% Backward simplification (5,504 calls)
% 4.27/4.45 ; 0.703 18% Ordering (81,463 calls)
% 4.27/4.45 ; 0.000 0% Sortal reasoning (32 calls)
% 4.27/4.45 ; 0.001 0% Purity testing (1 call)
% 4.27/4.45 ; 0.058 1% Other
% 4.27/4.45 ; 3.951 Total
% 4.27/4.45 ; 3.953 Real time
% 4.27/4.45 ;
% 4.27/4.45 ; Term-hash-array has 16,380 terms in all.
% 4.27/4.45 ; Feature-vector-row-index has 1,191 entries (1,191 at peak, 1,275 added, 84 deleted).
% 4.27/4.45 ; Feature-vector-row-index has 28,821 nodes (28,821 at peak, 30,157 added, 1,336 deleted).
% 4.27/4.45 ; Retrieved 3,243 possibly forward subsuming rows in 1,791 calls.
% 4.27/4.45 ; Retrieved 367 possibly backward subsumed rows in 1,275 calls.
% 4.27/4.45 ; Path-index has 15,856 entries (15,859 at peak, 16,655 added, 799 deleted).
% 4.27/4.45 ; Path-index has 42,909 nodes (42,912 at peak, 44,475 added, 1,566 deleted).
% 4.27/4.45 ; Trie-index has 15,856 entries (15,859 at peak, 16,655 added, 799 deleted).
% 4.27/4.45 ; Trie-index has 122,530 nodes (122,568 at peak, 128,121 added, 5,591 deleted).
% 4.27/4.45 ; Retrieved 106,619 generalization terms in 85,213 calls.
% 4.27/4.45 ; Retrieved 6,250 instance terms in 4,484 calls.
% 4.27/4.45 ; Retrieved 311,794 unifiable terms in 9,969 calls.
% 4.27/4.45 ;
% 4.27/4.45 ; The agenda of rows to process has 12 entries:
% 4.27/4.45 ; 1 with value 110 1 with value 138 2 with value 160
% 4.27/4.45 ; 1 with value 114 1 with value 143 1 with value 161
% 4.27/4.45 ; 1 with value 115 1 with value 146 1 with value 173
% 4.27/4.45 ; 1 with value 130 1 with value 157
% 4.27/4.45 ; The agenda of rows to give has 4822 entries:
% 4.27/4.45 ; 7 with value (4 6) 24 with value (4 56) 6 with value (4 107)
% 4.27/4.45 ; 19 with value (4 7) 30 with value (4 57) 5 with value (4 108)
% 4.27/4.45 ; 9 with value (4 8) 11 with value (4 58) 2 with value (4 109)
% 4.27/4.45 ; 9 with value (4 9) 15 with value (4 59) 3 with value (4 110)
% 4.27/4.45 ; 63 with value (4 10) 22 with value (4 60) 3 with value (4 111)
% 4.27/4.45 ; 28 with value (4 11) 27 with value (4 61) 4 with value (4 112)
% 4.27/4.45 ; 75 with value (4 12) 23 with value (4 62) 8 with value (4 113)
% 4.27/4.45 ; 101 with value (4 13) 14 with value (4 63) 3 with value (4 114)
% 4.27/4.45 ; 236 with value (4 14) 21 with value (4 64) 3 with value (4 115)
% 4.27/4.45 ; 170 with value (4 15) 23 with value (4 65) 5 with value (4 116)
% 4.27/4.45 ; 192 with value (4 16) 30 with value (4 66) 5 with value (4 117)
% 4.27/4.45 ; 147 with value (4 17) 15 with value (4 67) 5 with value (4 118)
% 4.27/4.45 ; 92 with value (4 18) 23 with value (4 68) 2 with value (4 119)
% 4.27/4.45 ; 75 with value (4 19) 23 with value (4 69) 2 with value (4 120)
% 4.27/4.45 ; 108 with value (4 20) 8 with value (4 70) 2 with value (4 121)
% 4.27/4.45 ; 92 with value (4 21) 24 with value (4 71) 3 with value (4 122)
% 4.27/4.45 ; 114 with value (4 22) 21 with value (4 72) 1 with value (4 123)
% 4.27/4.45 ; 116 with value (4 23) 20 with value (4 73) 3 with value (4 124)
% 4.27/4.45 ; 78 with value (4 24) 1 with value (4 74) 1 with value (4 125)
% 4.27/4.45 ; 114 with value (4 25) 13 with value (4 75) 2 with value (4 126)
% 4.27/4.45 ; 87 with value (4 26) 14 with value (4 76) 1 with value (4 127)
% 4.27/4.45 ; 96 with value (4 27) 8 with value (4 77) 1 with value (4 128)
% 4.27/4.45 ; 140 with value (4 28) 7 with value (4 78) 1 with value (4 129)
% 4.27/4.45 ; 123 with value (4 29) 10 with value (4 79) 3 with value (4 132)
% 4.27/4.45 ; 101 with value (4 30) 5 with value (4 80) 1 with value (4 133)
% 4.27/4.45 ; 65 with value (4 31) 16 with value (4 81) 3 with value (4 134)
% 4.27/4.45 ; 66 with value (4 32) 12 with value (4 82) 1 with value (4 135)
% 4.27/4.45 ; 51 with value (4 33) 9 with value (4 83) 1 with value (4 136)
% 4.27/4.45 ; 39 with value (4 34) 10 with value (4 84) 1 with value (4 137)
% 4.27/4.45 ; 64 with value (4 35) 8 with value (4 85) 1 with value (4 138)
% 4.27/4.45 ; 51 with value (4 36) 3 with value (4 86) 2 with value (4 140)
% 4.27/4.45 ; 52 with value (4 37) 8 with value (4 87) 1 with value (4 141)
% 4.27/4.45 ; 51 with value (4 38) 13 with value (4 88) 2 with value (4 142)
% 4.27/4.45 ; 59 with value (4 39) 3 with value (4 89) 2 with value (4 143)
% 4.27/4.45 ; 30 with value (4 40) 3 with value (4 90) 1 with value (4 144)
% 4.27/4.45 ; 35 with value (4 41) 3 with value (4 91) 1 with value (4 145)
% 4.27/4.45 ; 52 with value (4 42) 11 with value (4 92) 2 with value (4 149)
% 4.27/4.45 ; 41 with value (4 43) 7 with value (4 93) 1 with value (4 153)
% 4.27/4.45 ; 40 with value (4 44) 1 with value (4 94) 1 with value (4 154)
% 4.27/4.45 ; 22 with value (4 45) 1 with value (4 95) 2 with value (4 157)
% 4.27/4.45 ; 49 with value (4 46) 1 with value (4 96) 2 with value (4 158)
% 4.27/4.45 ; 209 with value (4 47) 5 with value (4 97) 1 with value (4 159)
% 4.27/4.45 ; 249 with value (4 48) 4 with value (4 98) 1 with value (4 160)
% 4.27/4.45 ; 107 with value (4 49) 2 with value (4 99) 1 with value (4 161)
% 4.27/4.45 ; 67 with value (4 50) 4 with value (4 100) 1 with value (4 166)
% 4.27/4.45 ; 85 with value (4 51) 8 with value (4 101) 1 with value (4 168)
% 4.27/4.45 ; 92 with value (4 52) 7 with value (4 103) 1 with value (4 170)
% 4.27/4.45 ; 85 with value (4 53) 3 with value (4 104) 3 with value (4 171)
% 4.27/4.45 ; 35 with value (4 54) 8 with value (4 105) 1 with value (4 188)
% 4.27/4.45 ; 41 with value (4 55) 1 with value (4 106) 1 with value (4 201)
% 4.27/4.45 Evaluation took:
% 4.27/4.45 3.955 seconds of real time
% 4.27/4.45 3.657338 seconds of user run time
% 4.27/4.45 0.298153 seconds of system run time
% 4.27/4.45 [Run times include 0.636 seconds GC run time.]
% 4.27/4.45 0 calls to %EVAL
% 4.27/4.45 0 page faults and
% 4.27/4.45 358,212,016 bytes consed.
% 4.27/4.45 :PROOF-FOUND
% 4.27/4.46 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T15:54:33
% 4.27/4.46 :PROOF-FOUND
% 4.27/4.46 *
%------------------------------------------------------------------------------