%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV314-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 21:32:44 EDT 2022
% Result : Unsatisfiable 1.20s 1.40s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 7
% Syntax : Number of clauses : 8 ( 7 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 0 equ; 6 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OtwayRees_Osecrecy__lemma__dest_0,axiom,
( ~ c_in(X,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(U),c_Message_Omsg_OMPair(Z,c_Message_Omsg_OKey(V))),c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(W,c_Message_Omsg_OKey(V)))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(V),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
| c_in(Y,c_Event_Obad,tc_Message_Oagent)
| c_in(U,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(W,c_Message_Omsg_OKey(V)))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Osecrecy__lemma__dest_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(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_5) ).
cnf(4543,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_OtwayRees_Osecrecy__lemma__dest_0,cls_conjecture_4,cls_conjecture_0,cls_conjecture_5,cls_conjecture_3,cls_conjecture_2,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV314-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 12:24:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T12:24:26
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-15T12:24:26
% 0.46/0.64
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.20/1.40 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 1.20/1.40
% 1.20/1.40 #||
% 1.20/1.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/1.40 % SZS output start Refutation
% See solution above
% 1.20/1.40 ||#
% 1.20/1.40
% 1.20/1.40 ; Summary of computation:
% 1.20/1.40 ; 9415 formulas have been input or derived (from 654 formulas).
% 1.20/1.40 ; 4543 (48%) were retained. Of these,
% 1.20/1.40 ; 26 ( 1%) were simplified or subsumed later,
% 1.20/1.40 ; 4517 (99%) are still being kept.
% 1.20/1.40 ;
% 1.20/1.40 ; Run time in seconds excluding printing time:
% 1.20/1.40 ; 0.155 17% Read assertion file (1 call)
% 1.20/1.40 ; 0.019 2% Assert (1,478 calls)
% 1.20/1.40 ; 0.318 34% Process new row (8,152 calls)
% 1.20/1.40 ; 0.161 17% Resolution (1,306 calls)
% 1.20/1.40 ; 0.007 1% Paramodulation (653 calls)
% 1.20/1.40 ; 0.001 0% Factoring (8 calls)
% 1.20/1.40 ; 0.017 2% Condensing (988 calls)
% 1.20/1.40 ; 0.027 3% Forward subsumption (988 calls)
% 1.20/1.40 ; 0.028 3% Backward subsumption (950 calls)
% 1.20/1.40 ; 0.001 0% Clause clause subsumption (412 calls)
% 1.20/1.40 ; 0.074 8% Forward simplification (7,386 calls)
% 1.20/1.40 ; 0.033 4% Backward simplification (4,543 calls)
% 1.20/1.40 ; 0.005 1% Ordering (1,178 calls)
% 1.20/1.40 ; 0.000 0% Sortal reasoning (32 calls)
% 1.20/1.40 ; 0.008 1% Purity testing (1 call)
% 1.20/1.40 ; 0.075 8% Other
% 1.20/1.40 ; 0.929 Total
% 1.20/1.40 ; 0.931 Real time
% 1.20/1.40 ;
% 1.20/1.40 ; Term-hash-array has 10,539 terms in all.
% 1.20/1.40 ; Feature-vector-row-index has 943 entries (943 at peak, 950 added, 7 deleted).
% 1.20/1.40 ; Feature-vector-row-index has 4,119 nodes (4,119 at peak, 4,164 added, 45 deleted).
% 1.20/1.40 ; Retrieved 720 possibly forward subsuming rows in 988 calls.
% 1.20/1.40 ; Retrieved 520 possibly backward subsumed rows in 950 calls.
% 1.20/1.40 ; Path-index has 10,526 entries (10,526 at peak, 10,579 added, 53 deleted).
% 1.20/1.40 ; Path-index has 32,747 nodes (32,747 at peak, 32,788 added, 41 deleted).
% 1.20/1.40 ; Trie-index has 10,526 entries (10,526 at peak, 10,579 added, 53 deleted).
% 1.20/1.40 ; Trie-index has 55,620 nodes (55,620 at peak, 55,821 added, 201 deleted).
% 1.20/1.40 ; Retrieved 3,462 generalization terms in 10,842 calls.
% 1.20/1.40 ; Retrieved 3,723 instance terms in 3,594 calls.
% 1.20/1.40 ; Retrieved 275,299 unifiable terms in 6,242 calls.
% 1.20/1.40 ;
% 1.20/1.40 ; The agenda of rows to process has 18 entries:
% 1.20/1.42 ; 2 with value 6 1 with value 19 1 with value 75
% 1.20/1.42 ; 1 with value 8 1 with value 29 1 with value 79
% 1.20/1.42 ; 1 with value 12 9 with value 33 1 with value 88
% 1.20/1.42 ; The agenda of input rows to give has 5 entries:
% 1.20/1.42 ; 1 with value 82 1 with value 88 1 with value 90
% 1.20/1.42 ; 2 with value 85
% 1.20/1.42 ; The agenda of rows to give has 3858 entries:
% 1.20/1.42 ; 7 with value (4 6) 55 with value (4 27) 5 with value (4 48)
% 1.20/1.42 ; 12 with value (4 7) 47 with value (4 28) 7 with value (4 49)
% 1.20/1.42 ; 61 with value (4 8) 49 with value (4 29) 4 with value (4 50)
% 1.20/1.42 ; 38 with value (4 9) 34 with value (4 30) 1 with value (4 51)
% 1.20/1.42 ; 222 with value (4 10) 32 with value (4 31) 2 with value (4 52)
% 1.20/1.42 ; 61 with value (4 11) 45 with value (4 32) 3 with value (4 53)
% 1.20/1.42 ; 300 with value (4 12) 20 with value (4 33) 2 with value (4 54)
% 1.20/1.42 ; 169 with value (4 13) 20 with value (4 34) 3 with value (4 55)
% 1.20/1.42 ; 381 with value (4 14) 20 with value (4 35) 4 with value (4 56)
% 1.20/1.42 ; 303 with value (4 15) 15 with value (4 36) 1 with value (4 57)
% 1.20/1.42 ; 394 with value (4 16) 23 with value (4 37) 1 with value (4 58)
% 1.20/1.42 ; 302 with value (4 17) 21 with value (4 38) 6 with value (4 60)
% 1.20/1.42 ; 333 with value (4 18) 13 with value (4 39) 2 with value (4 61)
% 1.20/1.42 ; 168 with value (4 19) 17 with value (4 40) 2 with value (4 62)
% 1.20/1.42 ; 138 with value (4 20) 3 with value (4 41) 3 with value (4 66)
% 1.20/1.42 ; 88 with value (4 21) 8 with value (4 42) 4 with value (4 67)
% 1.20/1.42 ; 108 with value (4 22) 10 with value (4 43) 2 with value (4 69)
% 1.20/1.42 ; 85 with value (4 23) 5 with value (4 44) 2 with value (4 70)
% 1.20/1.42 ; 65 with value (4 24) 8 with value (4 45) 2 with value (4 75)
% 1.20/1.42 ; 57 with value (4 25) 2 with value (4 46) 3 with value (4 77)
% 1.20/1.42 ; 54 with value (4 26) 5 with value (4 47) 1 with value (4 84)
% 1.20/1.42 Evaluation took:
% 1.20/1.42 0.953 seconds of real time
% 1.20/1.42 0.889453 seconds of user run time
% 1.20/1.42 0.063105 seconds of system run time
% 1.20/1.42 [Run times include 0.112 seconds GC run time.]
% 1.20/1.42 0 calls to %EVAL
% 1.20/1.42 0 page faults and
% 1.20/1.42 75,393,880 bytes consed.
% 1.20/1.42 :PROOF-FOUND
% 1.20/1.42 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T12:24:26
% 1.20/1.42 :PROOF-FOUND
% 1.20/1.42 *
%------------------------------------------------------------------------------