TSTP Solution File: SWV313-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV313-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 21:32:43 EDT 2022
% Result : Unsatisfiable 1.28s 1.45s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 10 ( 8 unt; 1 nHn; 10 RR)
% Number of literals : 16 ( 0 equ; 7 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 : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz_OInj_0,axiom,
( ~ c_in(X,Y,tc_Message_Omsg)
| c_in(X,c_Message_Oanalz(Y),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_Oanalz_OInj_0) ).
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_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(964,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz_OInj_0,cls_conjecture_5]) ).
cnf(4542,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OtwayRees_Osecrecy__lemma__dest_0,cls_conjecture_4,cls_conjecture_0,cls_conjecture_3,cls_conjecture_2,cls_conjecture_1]),964]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWV313-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n029.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 : Wed Jun 15 18:06:27 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 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)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T18:06:27
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-15T18:06:27
% 0.53/0.69
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72 WARNING:
% 0.53/0.72 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.28/1.45 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 1.28/1.45
% 1.28/1.45 #||
% 1.28/1.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.28/1.45 % SZS output start Refutation
% See solution above
% 1.28/1.46 ||#
% 1.28/1.46
% 1.28/1.46 ; Summary of computation:
% 1.28/1.46 ; 9398 formulas have been input or derived (from 654 formulas).
% 1.28/1.46 ; 4542 (48%) were retained. Of these,
% 1.28/1.46 ; 26 ( 1%) were simplified or subsumed later,
% 1.28/1.46 ; 4516 (99%) are still being kept.
% 1.28/1.46 ;
% 1.28/1.46 ; Run time in seconds excluding printing time:
% 1.28/1.46 ; 0.169 18% Read assertion file (1 call)
% 1.28/1.46 ; 0.020 2% Assert (1,478 calls)
% 1.28/1.46 ; 0.330 35% Process new row (8,147 calls)
% 1.28/1.46 ; 0.178 19% Resolution (1,306 calls)
% 1.28/1.46 ; 0.008 1% Paramodulation (653 calls)
% 1.28/1.46 ; 0.000 0% Factoring (8 calls)
% 1.28/1.46 ; 0.012 1% Condensing (988 calls)
% 1.28/1.46 ; 0.025 3% Forward subsumption (988 calls)
% 1.28/1.46 ; 0.026 3% Backward subsumption (950 calls)
% 1.28/1.46 ; 0.003 0% Clause clause subsumption (411 calls)
% 1.28/1.46 ; 0.058 6% Forward simplification (7,381 calls)
% 1.28/1.46 ; 0.046 5% Backward simplification (4,542 calls)
% 1.28/1.46 ; 0.005 1% Ordering (1,178 calls)
% 1.28/1.46 ; 0.000 0% Sortal reasoning (32 calls)
% 1.28/1.46 ; 0.008 1% Purity testing (1 call)
% 1.28/1.46 ; 0.059 6% Other
% 1.31/1.48 ; 0.947 Total
% 1.31/1.48 ; 0.970 Real time
% 1.31/1.48 ;
% 1.31/1.48 ; Term-hash-array has 10,536 terms in all.
% 1.31/1.48 ; Feature-vector-row-index has 943 entries (943 at peak, 950 added, 7 deleted).
% 1.31/1.48 ; Feature-vector-row-index has 4,108 nodes (4,108 at peak, 4,153 added, 45 deleted).
% 1.31/1.48 ; Retrieved 719 possibly forward subsuming rows in 988 calls.
% 1.31/1.48 ; Retrieved 520 possibly backward subsumed rows in 950 calls.
% 1.31/1.48 ; Path-index has 10,523 entries (10,523 at peak, 10,576 added, 53 deleted).
% 1.31/1.48 ; Path-index has 32,744 nodes (32,744 at peak, 32,785 added, 41 deleted).
% 1.31/1.48 ; Trie-index has 10,523 entries (10,523 at peak, 10,576 added, 53 deleted).
% 1.31/1.48 ; Trie-index has 55,581 nodes (55,581 at peak, 55,782 added, 201 deleted).
% 1.31/1.48 ; Retrieved 3,459 generalization terms in 10,838 calls.
% 1.31/1.48 ; Retrieved 3,722 instance terms in 3,593 calls.
% 1.31/1.48 ; Retrieved 275,134 unifiable terms in 6,218 calls.
% 1.31/1.48 ;
% 1.31/1.48 ; The agenda of rows to process has 3 entries:
% 1.31/1.48 ; 1 with value 75 1 with value 79 1 with value 88
% 1.31/1.48 ; The agenda of input rows to give has 5 entries:
% 1.31/1.48 ; 1 with value 82 1 with value 88 1 with value 90
% 1.31/1.48 ; 2 with value 85
% 1.31/1.48 ; The agenda of rows to give has 3857 entries:
% 1.31/1.48 ; 7 with value (4 6) 54 with value (4 27) 5 with value (4 48)
% 1.31/1.48 ; 12 with value (4 7) 46 with value (4 28) 7 with value (4 49)
% 1.31/1.48 ; 61 with value (4 8) 49 with value (4 29) 4 with value (4 50)
% 1.31/1.48 ; 38 with value (4 9) 35 with value (4 30) 1 with value (4 51)
% 1.31/1.48 ; 222 with value (4 10) 31 with value (4 31) 2 with value (4 52)
% 1.31/1.48 ; 61 with value (4 11) 45 with value (4 32) 3 with value (4 53)
% 1.31/1.48 ; 302 with value (4 12) 20 with value (4 33) 2 with value (4 54)
% 1.31/1.48 ; 169 with value (4 13) 20 with value (4 34) 3 with value (4 55)
% 1.31/1.48 ; 386 with value (4 14) 21 with value (4 35) 4 with value (4 56)
% 1.31/1.48 ; 306 with value (4 15) 14 with value (4 36) 1 with value (4 57)
% 1.31/1.48 ; 388 with value (4 16) 23 with value (4 37) 1 with value (4 58)
% 1.31/1.48 ; 301 with value (4 17) 21 with value (4 38) 6 with value (4 60)
% 1.31/1.48 ; 333 with value (4 18) 13 with value (4 39) 2 with value (4 61)
% 1.31/1.48 ; 167 with value (4 19) 17 with value (4 40) 2 with value (4 62)
% 1.31/1.48 ; 138 with value (4 20) 3 with value (4 41) 3 with value (4 66)
% 1.31/1.48 ; 91 with value (4 21) 8 with value (4 42) 4 with value (4 67)
% 1.31/1.48 ; 105 with value (4 22) 10 with value (4 43) 2 with value (4 69)
% 1.31/1.48 ; 84 with value (4 23) 5 with value (4 44) 2 with value (4 70)
% 1.31/1.48 ; 64 with value (4 24) 8 with value (4 45) 2 with value (4 75)
% 1.31/1.48 ; 58 with value (4 25) 2 with value (4 46) 3 with value (4 77)
% 1.31/1.48 ; 54 with value (4 26) 5 with value (4 47) 1 with value (4 84)
% 1.31/1.48 Evaluation took:
% 1.31/1.48 0.972 seconds of real time
% 1.31/1.48 0.909027 seconds of user run time
% 1.31/1.48 0.061132 seconds of system run time
% 1.31/1.48 [Run times include 0.105 seconds GC run time.]
% 1.31/1.48 0 calls to %EVAL
% 1.31/1.48 0 page faults and
% 1.31/1.48 75,480,856 bytes consed.
% 1.31/1.48 :PROOF-FOUND
% 1.31/1.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T18:06:28
% 1.31/1.48 :PROOF-FOUND
% 1.31/1.48 *
%------------------------------------------------------------------------------