TSTP Solution File: SWV751-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV751-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 21:35:54 EDT 2022
% Result : Unsatisfiable 2.83s 3.01s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 12 ( 9 unt; 1 nHn; 12 RR)
% Number of literals : 21 ( 4 equ; 10 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 : 20 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_secrecy__lemma_0,axiom,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,Y)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X,Z,Y),hAPP(c_Message_Omsg_OKey,X)))),c_List_Oset(Y,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(Y,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(V,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V),c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(U),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,U),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X),c_Message_Omsg_OAgent(V)))))))),c_List_Oset(Y,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_secrecy__lemma_0) ).
cnf(cls_Says__Server__message__form_2,axiom,
( X = hAPP(c_Public_OshrK,Y)
| ~ hBOOL(c_in(Z,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OCrypt(X,c_Message_Omsg_OMPair(U,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,W),X1))))),c_List_Oset(Z,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
cnf(cls_Says__Server__message__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(c_Event_Oevent_OSays(c_Message_Oagent_OServer,U,c_Message_Omsg_OCrypt(W,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,Z),X))))),c_List_Oset(V,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(v_K_H,c_Message_Omsg_OMPair(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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(3573,plain,
v_K_H = hAPP(c_Public_OshrK,v_A),
inference('HYPERRESOLVE',[status(thm)],[cls_Says__Server__message__form_2,cls_conjecture_4,cls_conjecture_0]) ).
cnf(4436,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('HYPERRESOLVE',[status(thm)],[cls_Says__Server__message__form_1,cls_conjecture_4,cls_conjecture_0]) ).
cnf(4775,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_secrecy__lemma_0,cls_conjecture_5,cls_conjecture_1,cls_conjecture_4,cls_conjecture_3,cls_conjecture_2]),cls_conjecture_0,4436,3573,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWV751-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jun 14 15:28:13 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.35 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 *
% 0.12/0.36 *
% 0.12/0.36 #<PACKAGE "SNARK-USER">
% 0.12/0.36 *
% 0.12/0.36 SNARK-TPTP-OPTIONS
% 0.12/0.36 *
% 0.12/0.36 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.36 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.36 (USE-FACTORING :POS)
% 0.12/0.36 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.36 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.36 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.37 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.37 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.37 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.37 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.37 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.37 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.37 (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.37 *
% 0.12/0.37 "."
% 0.12/0.37 *
% 0.12/0.37 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T15:28:13
% 0.12/0.37 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-14T15:28:13
% 0.12/0.46 WARNING:
% 0.12/0.46 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.12/0.46 WARNING:
% 0.12/0.46 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 2.83/3.01
% 2.83/3.01
% 2.83/3.01 #||
% 2.83/3.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.83/3.01 % SZS output start Refutation
% See solution above
% 2.83/3.01 ||#
% 2.83/3.01
% 2.83/3.01 ; Summary of computation:
% 2.83/3.01 ; 11017 formulas have been input or derived (from 457 formulas).
% 2.83/3.01 ; 4775 (43%) were retained. Of these,
% 2.83/3.01 ; 242 ( 5%) were simplified or subsumed later,
% 2.83/3.01 ; 4533 (95%) are still being kept.
% 2.83/3.01 ;
% 2.83/3.02 ; Run time in seconds excluding printing time:
% 2.83/3.02 ; 0.079 3% Read assertion file (1 call)
% 2.83/3.02 ; 0.007 0% Assert (606 calls)
% 2.83/3.02 ; 0.524 20% Process new row (10,009 calls)
% 2.83/3.02 ; 0.187 7% Resolution (912 calls)
% 2.83/3.02 ; 0.057 2% Paramodulation (456 calls)
% 2.83/3.02 ; 0.000 0% Factoring (6 calls)
% 2.83/3.02 ; 0.038 1% Condensing (1,556 calls)
% 2.83/3.02 ; 0.432 16% Forward subsumption (1,556 calls)
% 2.83/3.02 ; 0.062 2% Backward subsumption (1,060 calls)
% 2.83/3.02 ; 0.030 1% Clause clause subsumption (2,141 calls)
% 2.83/3.02 ; 0.564 21% Forward simplification (9,982 calls)
% 2.83/3.02 ; 0.080 3% Backward simplification (4,709 calls)
% 2.83/3.02 ; 0.537 20% Ordering (54,567 calls)
% 2.83/3.02 ; 0.000 0% Sortal reasoning (32 calls)
% 2.83/3.02 ; 0.001 0% Purity testing (1 call)
% 2.83/3.02 ; 0.050 2% Other
% 2.83/3.02 ; 2.648 Total
% 2.83/3.02 ; 2.650 Real time
% 2.83/3.02 ;
% 2.83/3.02 ; Term-hash-array has 14,104 terms in all.
% 2.83/3.02 ; Feature-vector-row-index has 993 entries (993 at peak, 1,060 added, 67 deleted).
% 2.83/3.02 ; Feature-vector-row-index has 20,448 nodes (20,448 at peak, 21,646 added, 1,198 deleted).
% 2.83/3.02 ; Retrieved 2,800 possibly forward subsuming rows in 1,556 calls.
% 2.83/3.02 ; Retrieved 327 possibly backward subsumed rows in 1,060 calls.
% 2.83/3.02 ; Path-index has 13,679 entries (13,679 at peak, 14,324 added, 645 deleted).
% 2.83/3.02 ; Path-index has 39,410 nodes (39,410 at peak, 40,660 added, 1,250 deleted).
% 2.83/3.02 ; Trie-index has 13,679 entries (13,679 at peak, 14,324 added, 645 deleted).
% 2.83/3.02 ; Trie-index has 106,164 nodes (106,164 at peak, 110,555 added, 4,391 deleted).
% 2.83/3.02 ; Retrieved 76,994 generalization terms in 57,431 calls.
% 2.83/3.02 ; Retrieved 5,188 instance terms in 3,862 calls.
% 2.83/3.02 ; Retrieved 257,904 unifiable terms in 9,165 calls.
% 2.83/3.02 ;
% 2.83/3.02 ; The agenda of rows to process has 9 entries:
% 2.83/3.02 ; 1 with value 43 1 with value 127 1 with value 141
% 2.83/3.02 ; 1 with value 100 1 with value 137 3 with value 145
% 2.83/3.02 ; 1 with value 108
% 2.83/3.02 ; The agenda of rows to give has 4079 entries:
% 2.83/3.02 ; 7 with value (4 6) 47 with value (4 46) 4 with value (4 87)
% 2.83/3.02 ; 21 with value (4 7) 173 with value (4 47) 12 with value (4 88)
% 2.83/3.02 ; 16 with value (4 8) 157 with value (4 48) 2 with value (4 89)
% 2.83/3.02 ; 9 with value (4 9) 77 with value (4 49) 3 with value (4 90)
% 2.83/3.02 ; 58 with value (4 10) 63 with value (4 50) 2 with value (4 91)
% 2.83/3.02 ; 30 with value (4 11) 67 with value (4 51) 7 with value (4 92)
% 2.83/3.02 ; 93 with value (4 12) 77 with value (4 52) 2 with value (4 93)
% 2.83/3.02 ; 91 with value (4 13) 67 with value (4 53) 3 with value (4 94)
% 2.83/3.02 ; 177 with value (4 14) 31 with value (4 54) 1 with value (4 96)
% 2.83/3.02 ; 122 with value (4 15) 40 with value (4 55) 4 with value (4 97)
% 2.83/3.02 ; 144 with value (4 16) 18 with value (4 56) 2 with value (4 98)
% 2.83/3.02 ; 108 with value (4 17) 29 with value (4 57) 3 with value (4 99)
% 2.83/3.02 ; 101 with value (4 18) 12 with value (4 58) 7 with value (4 100)
% 2.83/3.02 ; 82 with value (4 19) 11 with value (4 59) 7 with value (4 101)
% 2.83/3.02 ; 106 with value (4 20) 19 with value (4 60) 6 with value (4 103)
% 2.83/3.02 ; 91 with value (4 21) 22 with value (4 61) 1 with value (4 104)
% 2.83/3.02 ; 99 with value (4 22) 24 with value (4 62) 6 with value (4 105)
% 2.83/3.02 ; 101 with value (4 23) 12 with value (4 63) 2 with value (4 106)
% 2.83/3.02 ; 78 with value (4 24) 19 with value (4 64) 6 with value (4 107)
% 2.83/3.02 ; 83 with value (4 25) 14 with value (4 65) 4 with value (4 108)
% 2.83/3.02 ; 84 with value (4 26) 20 with value (4 66) 3 with value (4 109)
% 2.83/3.02 ; 102 with value (4 27) 13 with value (4 67) 3 with value (4 110)
% 2.83/3.02 ; 115 with value (4 28) 22 with value (4 68) 2 with value (4 111)
% 2.83/3.02 ; 107 with value (4 29) 14 with value (4 69) 5 with value (4 112)
% 2.83/3.02 ; 80 with value (4 30) 7 with value (4 70) 2 with value (4 113)
% 2.83/3.02 ; 53 with value (4 31) 18 with value (4 71) 1 with value (4 114)
% 2.83/3.02 ; 63 with value (4 32) 18 with value (4 72) 4 with value (4 115)
% 2.83/3.02 ; 56 with value (4 33) 15 with value (4 73) 2 with value (4 116)
% 2.83/3.02 ; 40 with value (4 34) 9 with value (4 75) 4 with value (4 117)
% 2.83/3.02 ; 62 with value (4 35) 3 with value (4 76) 4 with value (4 118)
% 2.83/3.02 ; 45 with value (4 36) 9 with value (4 77) 2 with value (4 119)
% 2.83/3.02 ; 42 with value (4 37) 5 with value (4 78) 3 with value (4 121)
% 2.83/3.02 ; 41 with value (4 38) 10 with value (4 79) 1 with value (4 122)
% 2.83/3.02 ; 59 with value (4 39) 3 with value (4 80) 1 with value (4 125)
% 2.83/3.02 ; 30 with value (4 40) 9 with value (4 81) 1 with value (4 134)
% 2.83/3.02 ; 32 with value (4 41) 7 with value (4 82) 1 with value (4 143)
% 2.83/3.02 ; 45 with value (4 42) 5 with value (4 83) 1 with value (4 158)
% 2.83/3.02 ; 39 with value (4 43) 2 with value (4 84) 1 with value (4 160)
% 2.83/3.02 ; 45 with value (4 44) 4 with value (4 85) 1 with value (4 171)
% 2.83/3.02 ; 22 with value (4 45) 1 with value (4 86) 1 with value (4 177)
% 2.83/3.02 Evaluation took:
% 2.83/3.02 2.653 seconds of real time
% 2.83/3.02 2.473806 seconds of user run time
% 2.83/3.02 0.178139 seconds of system run time
% 2.83/3.02 [Run times include 0.389 seconds GC run time.]
% 2.83/3.02 0 calls to %EVAL
% 2.83/3.02 0 page faults and
% 2.83/3.02 220,388,008 bytes consed.
% 2.83/3.02 :PROOF-FOUND
% 2.83/3.02 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T15:28:15
% 2.83/3.02 :PROOF-FOUND
% 2.83/3.02 *
%------------------------------------------------------------------------------