TSTP Solution File: SWV364-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV364-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 21:33:03 EDT 2022

% Result   : Unsatisfiable 1.26s 1.44s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :    7 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_OMPair__analz_0,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oanalz(Z),tc_Message_Omsg)
    | c_in(Y,c_Message_Oanalz(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_OMPair__analz_0) ).

cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(Y,Z),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(Z,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),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(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(2594,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,cls_conjecture_2]) ).

cnf(4321,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0,cls_conjecture_1,cls_conjecture_0]),2594]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV364-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n011.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 : Tue Jun 14 21:16:35 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.48  /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)
% 0.22/0.50   (USE-FACTORING :POS)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50  * 
% 0.22/0.50  "."
% 0.22/0.50  * 
% 0.22/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T21:16:35
% 0.22/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-14T21:16:35
% 0.48/0.67  
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.69  WARNING:
% 0.53/0.69     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.70  WARNING:
% 0.53/0.70     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.26/1.44  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 1.26/1.44  
% 1.26/1.44  #||
% 1.26/1.44  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.26/1.44  % SZS output start Refutation
% See solution above
% 1.26/1.44  ||#
% 1.26/1.44  
% 1.26/1.44  ; Summary of computation:
% 1.26/1.44  ;      9063 formulas have been input or derived (from 612 formulas).
% 1.26/1.44  ;      4321 (48%) were retained.  Of these,
% 1.26/1.44  ;           21 ( 0%) were simplified or subsumed later,
% 1.26/1.44  ;         4300 (100%) are still being kept.
% 1.26/1.44  ; 
% 1.26/1.44  ; Run time in seconds excluding printing time:
% 1.26/1.44  ;     0.153  16%   Read assertion file          (1 call)
% 1.26/1.44  ;     0.021   2%   Assert                       (1,473 calls)
% 1.26/1.44  ;     0.293  31%   Process new row              (7,842 calls)
% 1.26/1.44  ;     0.174  19%   Resolution                   (1,222 calls)
% 1.26/1.44  ;     0.011   1%   Paramodulation               (611 calls)
% 1.26/1.44  ;     0.000   0%   Factoring                    (8 calls)
% 1.26/1.44  ;     0.012   1%   Condensing                   (918 calls)
% 1.26/1.44  ;     0.025   3%   Forward subsumption          (918 calls)
% 1.26/1.44  ;     0.047   5%   Backward subsumption         (880 calls)
% 1.26/1.44  ;     0.001   0%   Clause clause subsumption    (363 calls)
% 1.26/1.44  ;     0.083   9%   Forward simplification       (7,076 calls)
% 1.26/1.44  ;     0.058   6%   Backward simplification      (4,321 calls)
% 1.26/1.44  ;     0.005   1%   Ordering                     (1,049 calls)
% 1.26/1.44  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.26/1.44  ;     0.009   1%   Purity testing               (1 call)
% 1.26/1.44  ;     0.048   5%   Other
% 1.26/1.44  ;     0.940        Total
% 1.26/1.44  ;     0.941        Real time
% 1.26/1.45  ; 
% 1.26/1.45  ; Term-hash-array has 9,973 terms in all.
% 1.26/1.45  ; Feature-vector-row-index has 873 entries (873 at peak, 880 added, 7 deleted).
% 1.26/1.45  ; Feature-vector-row-index has 3,483 nodes (3,483 at peak, 3,528 added, 45 deleted).
% 1.26/1.45  ;  Retrieved 666 possibly forward subsuming rows in 918 calls.
% 1.26/1.45  ;  Retrieved 501 possibly backward subsumed rows in 880 calls.
% 1.26/1.45  ; Path-index has 9,967 entries (9,967 at peak, 10,011 added, 44 deleted).
% 1.26/1.45  ; Path-index has 30,047 nodes (30,047 at peak, 30,088 added, 41 deleted).
% 1.26/1.45  ; Trie-index has 9,967 entries (9,967 at peak, 10,011 added, 44 deleted).
% 1.26/1.45  ; Trie-index has 50,669 nodes (50,669 at peak, 50,822 added, 153 deleted).
% 1.26/1.45  ; Retrieved 3,359 generalization terms in 10,032 calls.
% 1.26/1.45  ; Retrieved 3,560 instance terms in 3,442 calls.
% 1.26/1.45  ; Retrieved 249,236 unifiable terms in 5,685 calls.
% 1.26/1.45  ; 
% 1.26/1.45  ; The agenda of rows to process has 1 entry:
% 1.26/1.45  ;     1 with value 26
% 1.26/1.45  ; The agenda of input rows to give has 42 entries:
% 1.26/1.45  ;     2 with value 28              4 with value 38               2 with value 62
% 1.26/1.45  ;     5 with value 29              3 with value 40               1 with value 65
% 1.26/1.45  ;     1 with value 30              5 with value 41               1 with value 82
% 1.26/1.45  ;     2 with value 32              1 with value 42               2 with value 85
% 1.26/1.45  ;     2 with value 33              2 with value 46               1 with value 88
% 1.26/1.45  ;     2 with value 34              2 with value 56               1 with value 90
% 1.26/1.45  ;     3 with value 35
% 1.26/1.45  ; The agenda of rows to give has 3646 entries:
% 1.26/1.45  ;     7 with value (4 6)          82 with value (4 23)          13 with value (4 39)
% 1.26/1.45  ;    12 with value (4 7)          58 with value (4 24)          14 with value (4 40)
% 1.26/1.45  ;    61 with value (4 8)          56 with value (4 25)           4 with value (4 41)
% 1.26/1.45  ;    39 with value (4 9)          51 with value (4 26)           1 with value (4 42)
% 1.26/1.45  ;   211 with value (4 10)         50 with value (4 27)           4 with value (4 43)
% 1.26/1.45  ;    57 with value (4 11)         45 with value (4 28)           4 with value (4 44)
% 1.26/1.45  ;   296 with value (4 12)         47 with value (4 29)           4 with value (4 45)
% 1.26/1.45  ;   164 with value (4 13)         31 with value (4 30)           1 with value (4 46)
% 1.26/1.45  ;   376 with value (4 14)         28 with value (4 31)           3 with value (4 47)
% 1.26/1.45  ;   301 with value (4 15)         40 with value (4 32)           3 with value (4 48)
% 1.26/1.45  ;   387 with value (4 16)         14 with value (4 33)           2 with value (4 49)
% 1.26/1.45  ;   296 with value (4 17)         22 with value (4 34)           1 with value (4 51)
% 1.26/1.45  ;   321 with value (4 18)         19 with value (4 35)           2 with value (4 52)
% 1.26/1.45  ;   164 with value (4 19)          8 with value (4 36)           1 with value (4 54)
% 1.26/1.45  ;   136 with value (4 20)         15 with value (4 37)           1 with value (4 57)
% 1.26/1.45  ;    82 with value (4 21)          5 with value (4 38)           1 with value (4 61)
% 1.26/1.45  ;   106 with value (4 22)
% 1.26/1.45  Evaluation took:
% 1.26/1.45    0.942 seconds of real time
% 1.26/1.45    0.880175 seconds of user run time
% 1.26/1.45    0.062318 seconds of system run time
% 1.26/1.45    [Run times include 0.097 seconds GC run time.]
% 1.26/1.45    0 calls to %EVAL
% 1.26/1.45    0 page faults and
% 1.26/1.45    69,552,920 bytes consed.
% 1.26/1.45  :PROOF-FOUND
% 1.26/1.45  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T21:16:36
% 1.26/1.45  :PROOF-FOUND
% 1.26/1.45  * 
%------------------------------------------------------------------------------