TSTP Solution File: SWV309-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV309-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 21:32:42 EDT 2022
% Result : Unsatisfiable 0.32s 0.94s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 1 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,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_evsf,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(666,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_5,cls_conjecture_3,cls_conjecture_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.29 % Problem : SWV309-1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.30 % Command : run-snark %s %d
% 0.14/0.51 % Computer : n009.cluster.edu
% 0.14/0.51 % Model : x86_64 x86_64
% 0.14/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.51 % Memory : 8042.1875MB
% 0.14/0.51 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.51 % CPULimit : 300
% 0.14/0.51 % WCLimit : 600
% 0.14/0.51 % DateTime : Wed Jun 15 12:35:08 EDT 2022
% 0.14/0.51 % CPUTime :
% 0.32/0.63 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.64 *
% 0.32/0.64 *
% 0.32/0.65 #<PACKAGE "SNARK-USER">
% 0.32/0.65 *
% 0.32/0.65 SNARK-TPTP-OPTIONS
% 0.32/0.65 *
% 0.32/0.65 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.32/0.65 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.32/0.65 (USE-FACTORING :POS)
% 0.32/0.65 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.32/0.65 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.32/0.65 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.32/0.65 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.32/0.65 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.32/0.65 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.32/0.65 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.32/0.65 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.32/0.65 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.32/0.65 (DECLARE-TPTP-SYMBOLS2))
% 0.32/0.65 *
% 0.32/0.65 "."
% 0.32/0.65 *
% 0.32/0.65 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T12:35:08
% 0.32/0.65 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-15T12:35:08
% 0.32/0.82
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.85 WARNING:
% 0.32/0.85 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.32/0.94 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.32/0.94
% 0.32/0.94 #||
% 0.32/0.94 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.94 % SZS output start Refutation
% See solution above
% 0.32/0.94 ||#
% 0.32/0.94
% 0.32/0.94 ; Summary of computation:
% 0.32/0.94 ; 1484 formulas have been input or derived (from 1 formulas).
% 0.32/0.94 ; 666 (45%) were retained. Of these,
% 0.32/0.94 ; 5 ( 1%) were simplified or subsumed later,
% 0.32/0.94 ; 661 (99%) are still being kept.
% 0.32/0.94 ;
% 0.32/0.94 ; Run time in seconds:
% 0.32/0.94 ; 0.166 57% Read assertion file (1 call)
% 0.32/0.94 ; 0.017 6% Assert (1,482 calls)
% 0.32/0.94 ; 0.034 12% Process new row (1,469 calls)
% 0.32/0.94 ; 0.002 1% Condensing (515 calls)
% 0.32/0.94 ; 0.010 3% Forward subsumption (515 calls)
% 0.32/0.94 ; 0.005 2% Backward subsumption (503 calls)
% 0.32/0.94 ; 0.002 1% Clause clause subsumption (132 calls)
% 0.32/0.94 ; 0.010 3% Forward simplification (703 calls)
% 0.32/0.94 ; 0.003 1% Backward simplification (665 calls)
% 0.32/0.94 ; 0.000 0% Ordering (11 calls)
% 0.32/0.94 ; 0.000 0% Sortal reasoning (32 calls)
% 0.32/0.94 ; 0.009 3% Purity testing (1 call)
% 0.32/0.94 ; 0.032 11% Other
% 0.32/0.94 ; 0.290 Total
% 0.32/0.94 ; 0.290 Real time
% 0.32/0.94 ;
% 0.32/0.94 ; Term-hash-array has 1,022 terms in all.
% 0.32/0.94 ; Feature-vector-row-index has 501 entries (501 at peak, 503 added, 2 deleted).
% 0.32/0.94 ; Feature-vector-row-index has 1,324 nodes (1,324 at peak, 1,338 added, 14 deleted).
% 0.32/0.94 ; Retrieved 349 possibly forward subsuming rows in 515 calls.
% 0.32/0.94 ; Retrieved 432 possibly backward subsumed rows in 503 calls.
% 0.32/0.94 ; Path-index has 1,047 entries (1,047 at peak, 1,058 added, 11 deleted).
% 0.32/0.94 ; Path-index has 4,208 nodes (4,208 at peak, 4,213 added, 5 deleted).
% 0.32/0.94 ; Trie-index has 1,047 entries (1,047 at peak, 1,058 added, 11 deleted).
% 0.32/0.94 ; Trie-index has 4,041 nodes (4,041 at peak, 4,054 added, 13 deleted).
% 0.32/0.94 ; Retrieved 84 generalization terms in 1,296 calls.
% 0.32/0.94 ; Retrieved 176 instance terms in 161 calls.
% 0.32/0.94 ;
% 0.32/0.94 ; The agenda of input rows to process has 1 entry:
% 0.32/0.94 ; 1 with value 0
% 0.32/0.94 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.32/0.94 ; 1 with value 0
% 0.32/0.94 ; The agenda of input rows to give has 660 entries:
% 0.32/0.94 ; 47 with value 3 22 with value 19 3 with value 35
% 0.32/0.94 ; 8 with value 4 8 with value 20 4 with value 38
% 0.32/0.94 ; 14 with value 5 14 with value 21 3 with value 40
% 0.32/0.94 ; 217 with value 6 6 with value 22 6 with value 41
% 0.32/0.94 ; 14 with value 7 6 with value 23 1 with value 42
% 0.32/0.94 ; 19 with value 8 7 with value 24 2 with value 46
% 0.32/0.94 ; 19 with value 9 1 with value 25 2 with value 56
% 0.32/0.94 ; 15 with value 10 8 with value 26 1 with value 57
% 0.32/0.94 ; 21 with value 11 9 with value 27 2 with value 62
% 0.32/0.94 ; 29 with value 12 2 with value 28 2 with value 64
% 0.32/0.94 ; 31 with value 13 5 with value 29 1 with value 65
% 0.32/0.94 ; 15 with value 14 1 with value 30 2 with value 82
% 0.32/0.94 ; 22 with value 15 4 with value 32 2 with value 85
% 0.32/0.94 ; 31 with value 16 2 with value 33 1 with value 88
% 0.32/0.94 ; 18 with value 17 2 with value 34 1 with value 90
% 0.32/0.94 ; 10 with value 18
% 0.32/0.94 Evaluation took:
% 0.32/0.94 0.291 seconds of real time
% 0.32/0.94 0.276506 seconds of user run time
% 0.32/0.94 0.015002 seconds of system run time
% 0.32/0.94 [Run times include 0.006 seconds GC run time.]
% 0.32/0.94 0 calls to %EVAL
% 0.32/0.94 0 page faults and
% 0.32/0.94 19,195,448 bytes consed.
% 0.32/0.94 :PROOF-FOUND
% 0.32/0.94 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T12:35:08
% 0.32/0.94 :PROOF-FOUND
% 0.32/0.94 *
%------------------------------------------------------------------------------