TSTP Solution File: SWV307-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV307-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 21:32:41 EDT 2022

% Result   : Unsatisfiable 7.64s 7.82s
% Output   : Refutation 7.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   14 (   1 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
    ( ~ c_in(X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,Y)),tc_Message_Omsg)
    | c_in(X,c_Event_Oused(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

cnf(cls_Message_Oparts_OBody__dest_0,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X,Y),c_Message_Oparts(Z),tc_Message_Omsg)
    | c_in(Y,c_Message_Oparts(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-2.ax',cls_Message_Oparts_OBody__dest_0) ).

cnf(cls_Public_OMPair__used_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Event_Oused(Z),tc_Message_Omsg)
    | c_in(X,c_Event_Oused(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-2.ax',cls_Public_OMPair__used_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_6,negated_conjecture,
    v_NA = c_Message_Omsg_ONonce(v_NB),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(667,plain,
    ~ c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_conjecture_6,theory(equality)]) ).

cnf(2634,plain,
    ~ c_in(c_Message_Omsg_OMPair(v_NA,X),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Public_OMPair__used_1,667]) ).

cnf(3826,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts_OBody__dest_0,cls_conjecture_4]) ).

cnf(29281,plain,
    ~ c_in(c_Message_Omsg_OMPair(v_NA,X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,2634]) ).

cnf(29282,plain,
    $false,
    inference('REWRITE',[status(thm)],[3826,29281]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SWV307-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 22:29:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  * 
% 0.18/0.47  * 
% 0.18/0.48  #<PACKAGE "SNARK-USER">
% 0.18/0.48  * 
% 0.18/0.48  SNARK-TPTP-OPTIONS
% 0.18/0.48  * 
% 0.18/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.48   (USE-FACTORING :POS)
% 0.18/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.48  * 
% 0.18/0.48  "."
% 0.18/0.48  * 
% 0.18/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T22:29:43
% 0.18/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-14T22:29:43
% 0.47/0.65  
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 7.64/7.82  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 7.64/7.82  
% 7.64/7.82  #||
% 7.64/7.82  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.64/7.82  % SZS output start Refutation
% See solution above
% 7.64/7.82  ||#
% 7.64/7.82  
% 7.64/7.82  ; Summary of computation:
% 7.64/7.82  ;     53148 formulas have been input or derived (from 988 formulas).
% 7.64/7.82  ;     29282 (55%) were retained.  Of these,
% 7.64/7.82  ;          339 ( 1%) were simplified or subsumed later,
% 7.64/7.82  ;        28943 (99%) are still being kept.
% 7.64/7.82  ; 
% 7.64/7.82  ; Run time in seconds excluding printing time:
% 7.64/7.82  ;     0.162   2%   Read assertion file          (1 call)
% 7.64/7.82  ;     0.019   0%   Assert                       (1,481 calls)
% 7.64/7.82  ;     3.099  42%   Process new row              (46,789 calls)
% 7.64/7.82  ;     2.396  33%   Resolution                   (1,974 calls)
% 7.64/7.82  ;     0.020   0%   Paramodulation               (987 calls)
% 7.64/7.82  ;     0.000   0%   Factoring                    (8 calls)
% 7.64/7.82  ;     0.021   0%   Condensing                   (1,243 calls)
% 7.64/7.82  ;     0.088   1%   Forward subsumption          (1,243 calls)
% 7.64/7.82  ;     0.045   1%   Backward subsumption         (1,203 calls)
% 7.64/7.82  ;     0.005   0%   Clause clause subsumption    (773 calls)
% 7.64/7.82  ;     0.897  12%   Forward simplification       (45,998 calls)
% 7.64/7.82  ;     0.319   4%   Backward simplification      (29,281 calls)
% 7.64/7.82  ;     0.010   0%   Ordering                     (1,828 calls)
% 7.64/7.82  ;     0.000   0%   Sortal reasoning             (32 calls)
% 7.64/7.82  ;     0.008   0%   Purity testing               (1 call)
% 7.64/7.82  ;     0.255   3%   Other
% 7.64/7.82  ;     7.344        Total
% 7.64/7.82  ;     7.345        Real time
% 7.64/7.83  ; 
% 7.64/7.83  ; Term-hash-array has 70,314 terms in all.
% 7.64/7.83  ; Feature-vector-row-index has 1,194 entries (1,194 at peak, 1,203 added, 9 deleted).
% 7.64/7.83  ; Feature-vector-row-index has 5,302 nodes (5,302 at peak, 5,360 added, 58 deleted).
% 7.64/7.83  ;  Retrieved 1,106 possibly forward subsuming rows in 1,243 calls.
% 7.64/7.83  ;  Retrieved 689 possibly backward subsumed rows in 1,203 calls.
% 7.64/7.83  ; Path-index has 69,726 entries (69,727 at peak, 70,387 added, 661 deleted).
% 7.64/7.83  ; Path-index has 83,727 nodes (83,729 at peak, 83,901 added, 174 deleted).
% 7.64/7.83  ; Trie-index has 69,726 entries (69,727 at peak, 70,387 added, 661 deleted).
% 7.64/7.83  ; Trie-index has 307,300 nodes (307,310 at peak, 309,662 added, 2,362 deleted).
% 7.64/7.83  ; Retrieved 25,610 generalization terms in 81,535 calls.
% 7.64/7.83  ; Retrieved 28,605 instance terms in 28,079 calls.
% 7.64/7.83  ; Retrieved 2,799,456 unifiable terms in 45,367 calls.
% 7.64/7.83  ; 
% 7.64/7.83  ; The agenda of rows to process has 68 entries:
% 7.64/7.83  ;     2 with value 14             34 with value 17               2 with value 22
% 7.64/7.83  ;     5 with value 15             11 with value 18               1 with value 24
% 7.64/7.83  ;     9 with value 16              4 with value 19
% 7.64/7.83  ; The agenda of rows to give has 27958 entries:
% 7.64/7.83  ;   112 with value (4 10)         64 with value (4 34)           6 with value (4 58)
% 7.64/7.83  ;   334 with value (4 11)         39 with value (4 35)           4 with value (4 60)
% 7.64/7.83  ;  1109 with value (4 12)         29 with value (4 36)           1 with value (4 61)
% 7.64/7.83  ;   935 with value (4 13)         35 with value (4 37)           8 with value (4 62)
% 7.64/7.83  ;  3692 with value (4 14)         35 with value (4 38)          12 with value (4 63)
% 7.64/7.83  ;  1813 with value (4 15)         29 with value (4 39)           9 with value (4 64)
% 7.64/7.83  ;  6607 with value (4 16)         19 with value (4 40)           3 with value (4 66)
% 7.64/7.83  ;  1866 with value (4 17)          6 with value (4 41)           5 with value (4 67)
% 7.64/7.83  ;  5468 with value (4 18)         11 with value (4 42)           2 with value (4 70)
% 7.64/7.83  ;  1501 with value (4 19)         20 with value (4 43)           4 with value (4 72)
% 7.64/7.83  ;  1042 with value (4 20)         35 with value (4 44)           4 with value (4 73)
% 7.64/7.83  ;   988 with value (4 21)         38 with value (4 45)           6 with value (4 74)
% 7.64/7.83  ;   386 with value (4 22)         13 with value (4 46)           2 with value (4 75)
% 7.64/7.83  ;   236 with value (4 23)         11 with value (4 47)           5 with value (4 77)
% 7.64/7.83  ;   288 with value (4 24)          5 with value (4 48)           4 with value (4 79)
% 7.64/7.83  ;   260 with value (4 25)          6 with value (4 49)           5 with value (4 83)
% 7.64/7.83  ;   119 with value (4 26)          9 with value (4 50)           9 with value (4 84)
% 7.64/7.83  ;   111 with value (4 27)          7 with value (4 51)           4 with value (4 90)
% 7.64/7.83  ;   120 with value (4 28)         10 with value (4 52)           6 with value (4 91)
% 7.64/7.83  ;   126 with value (4 29)         14 with value (4 53)           2 with value (4 93)
% 7.64/7.83  ;    78 with value (4 30)          6 with value (4 54)           2 with value (4 100)
% 7.64/7.83  ;    71 with value (4 31)          7 with value (4 55)           1 with value (4 102)
% 7.64/7.83  ;    83 with value (4 32)         10 with value (4 56)           2 with value (4 109)
% 7.64/7.83  ;    43 with value (4 33)          5 with value (4 57)           1 with value (4 116)
% 7.64/7.83  Evaluation took:
% 7.64/7.83    7.351 seconds of real time
% 7.64/7.83    6.878799 seconds of user run time
% 7.64/7.83    0.472362 seconds of system run time
% 7.64/7.83    [Run times include 1.701 seconds GC run time.]
% 7.64/7.83    0 calls to %EVAL
% 7.64/7.83    0 page faults and
% 7.64/7.83    384,420,784 bytes consed.
% 7.64/7.83  :PROOF-FOUND
% 7.64/7.83  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T22:29:51
% 7.64/7.83  :PROOF-FOUND
% 7.64/7.83  * 
%------------------------------------------------------------------------------