TSTP Solution File: SWV310-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV310-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 0.60s 0.79s
% Output   : Refutation 0.60s
% 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_4,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_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/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(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_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,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_evs2,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_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(667,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_6,cls_conjecture_4,cls_conjecture_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV310-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 22:10:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T22:10:07
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-14T22:10:07
% 0.51/0.67  
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.70  WARNING:
% 0.51/0.70     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.60/0.79  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.60/0.79  
% 0.60/0.79  #||
% 0.60/0.79  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.79  % SZS output start Refutation
% See solution above
% 0.60/0.79  ||#
% 0.60/0.79  
% 0.60/0.79  ; Summary of computation:
% 0.60/0.79  ;      1485 formulas have been input or derived (from 1 formulas).
% 0.60/0.79  ;       667 (45%) were retained.  Of these,
% 0.60/0.79  ;            5 ( 1%) were simplified or subsumed later,
% 0.60/0.79  ;          662 (99%) are still being kept.
% 0.60/0.79  ; 
% 0.60/0.79  ; Run time in seconds excluding printing time:
% 0.60/0.79  ;     0.168  57%   Read assertion file          (1 call)
% 0.60/0.79  ;     0.019   6%   Assert                       (1,483 calls)
% 0.60/0.79  ;     0.037  13%   Process new row              (1,470 calls)
% 0.60/0.79  ;     0.004   1%   Condensing                   (515 calls)
% 0.60/0.79  ;     0.005   2%   Forward subsumption          (515 calls)
% 0.60/0.79  ;     0.008   3%   Backward subsumption         (503 calls)
% 0.60/0.79  ;     0.001   0%   Clause clause subsumption    (132 calls)
% 0.60/0.79  ;     0.014   5%   Forward simplification       (704 calls)
% 0.60/0.79  ;     0.004   1%   Backward simplification      (666 calls)
% 0.60/0.79  ;     0.000   0%   Ordering                     (11 calls)
% 0.60/0.79  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.79  ;     0.009   3%   Purity testing               (1 call)
% 0.60/0.79  ;     0.026   9%   Other
% 0.60/0.79  ;     0.295        Total
% 0.60/0.79  ;     0.296        Real time
% 0.60/0.79  ; 
% 0.60/0.79  ; Term-hash-array has 1,029 terms in all.
% 0.60/0.79  ; Feature-vector-row-index has 501 entries (501 at peak, 503 added, 2 deleted).
% 0.60/0.79  ; Feature-vector-row-index has 1,324 nodes (1,324 at peak, 1,338 added, 14 deleted).
% 0.60/0.79  ;  Retrieved 349 possibly forward subsuming rows in 515 calls.
% 0.60/0.79  ;  Retrieved 432 possibly backward subsumed rows in 503 calls.
% 0.60/0.79  ; Path-index has 1,058 entries (1,058 at peak, 1,069 added, 11 deleted).
% 0.60/0.79  ; Path-index has 4,250 nodes (4,250 at peak, 4,255 added, 5 deleted).
% 0.60/0.79  ; Trie-index has 1,058 entries (1,058 at peak, 1,069 added, 11 deleted).
% 0.60/0.79  ; Trie-index has 4,084 nodes (4,084 at peak, 4,097 added, 13 deleted).
% 0.60/0.79  ; Retrieved 84 generalization terms in 1,301 calls.
% 0.60/0.79  ; Retrieved 177 instance terms in 162 calls.
% 0.60/0.79  ; 
% 0.60/0.79  ; The agenda of input rows to process has 1 entry:
% 0.60/0.79  ;     1 with value 0
% 0.60/0.79  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.60/0.79  ;     1 with value 0
% 0.60/0.79  ; The agenda of input rows to give has 661 entries:
% 0.60/0.79  ;    47 with value 3              22 with value 19               3 with value 35
% 0.60/0.79  ;     8 with value 4               8 with value 20               4 with value 38
% 0.60/0.79  ;    14 with value 5              14 with value 21               3 with value 40
% 0.60/0.79  ;   217 with value 6               6 with value 22               6 with value 41
% 0.60/0.79  ;    14 with value 7               7 with value 23               1 with value 42
% 0.60/0.79  ;    20 with value 8               7 with value 24               2 with value 46
% 0.60/0.79  ;    19 with value 9               1 with value 25               2 with value 56
% 0.60/0.79  ;    15 with value 10              8 with value 26               1 with value 57
% 0.60/0.79  ;    21 with value 11              9 with value 27               2 with value 62
% 0.60/0.79  ;    28 with value 12              2 with value 28               2 with value 64
% 0.60/0.79  ;    31 with value 13              5 with value 29               1 with value 65
% 0.60/0.79  ;    15 with value 14              1 with value 30               2 with value 82
% 0.60/0.79  ;    22 with value 15              4 with value 32               2 with value 85
% 0.60/0.79  ;    31 with value 16              2 with value 33               1 with value 88
% 0.60/0.79  ;    18 with value 17              2 with value 34               1 with value 90
% 0.60/0.79  ;    10 with value 18
% 0.60/0.79  Evaluation took:
% 0.60/0.79    0.296 seconds of real time
% 0.60/0.79    0.273974 seconds of user run time
% 0.60/0.79    0.022242 seconds of system run time
% 0.60/0.79    [Run times include 0.006 seconds GC run time.]
% 0.60/0.79    0 calls to %EVAL
% 0.60/0.79    0 page faults and
% 0.60/0.79    19,229,120 bytes consed.
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T22:10:08
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  * 
%------------------------------------------------------------------------------