TSTP Solution File: SWV319-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 21:32:46 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   19 (  12 unt;   1 nHn;  19 RR)
%            Number of literals    :   26 (   2 equ;  14 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :   27 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,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_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(4,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[cls_conjecture_3,cls_conjecture_2]) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( c_Public_OshrK(v_A) = v_K
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(6,plain,
    c_Public_OshrK(v_A) = v_K,
    inference('REWRITE',[status(thm)],[cls_conjecture_6,cls_conjecture_2]) ).

cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
    ( ~ c_in(c_Event_Oevent_OSays(X,Y,Z),c_List_Oset(U,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(Z,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,U)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

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/theBenchmark.p',cls_Message_OMPair__analz_0) ).

cnf(cls_Message_OMPair__parts_0,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oparts(Z),tc_Message_Omsg)
    | c_in(Y,c_Message_Oparts(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

cnf(cls_Message_Oanalz__conj__parts_0,axiom,
    ( ~ c_in(X,c_Message_Oanalz(Y),tc_Message_Omsg)
    | c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_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/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

cnf(12,plain,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[4,6,theory(equality)]) ).

cnf(14,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__parts_0,12]) ).

cnf(16,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0,cls_conjecture_1]) ).

cnf(19,plain,
    ~ c_in(c_Message_Omsg_OCrypt(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts_OBody__dest_0,14]) ).

cnf(28,plain,
    ~ c_in(c_Message_Omsg_OCrypt(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oanalz__conj__parts_0,19]) ).

cnf(43,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OCrypt(Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,28]) ).

cnf(71,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OCrypt(Z,c_Message_Omsg_OMPair(U,c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,43]) ).

cnf(72,plain,
    $false,
    inference('REWRITE',[status(thm)],[16,71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 19:52:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T19:52:54
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-14T19:52:54
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        81 formulas have been input or derived (from 40 formulas).
% 0.19/0.51  ;        72 (89%) were retained.  Of these,
% 0.19/0.51  ;            4 ( 6%) were simplified or subsumed later,
% 0.19/0.51  ;           68 (94%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.003   8%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.000   0%   Assert                       (9 calls)
% 0.19/0.51  ;     0.011  28%   Process new row              (78 calls)
% 0.19/0.51  ;     0.002   5%   Resolution                   (78 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (39 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (5 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (78 calls)
% 0.19/0.51  ;     0.001   3%   Backward simplification      (70 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (5 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.022  56%   Other
% 0.19/0.51  ;     0.039        Total
% 0.19/0.51  ;     0.043        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 168 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 24 nodes (24 at peak, 24 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.19/0.51  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.19/0.51  ; Path-index has 178 entries (179 at peak, 185 added, 7 deleted).
% 0.19/0.51  ; Path-index has 626 nodes (630 at peak, 641 added, 15 deleted).
% 0.19/0.51  ; Trie-index has 178 entries (179 at peak, 185 added, 7 deleted).
% 0.19/0.51  ; Trie-index has 754 nodes (771 at peak, 790 added, 36 deleted).
% 0.19/0.51  ; Retrieved 9 generalization terms in 82 calls.
% 0.19/0.51  ; Retrieved 65 instance terms in 64 calls.
% 0.19/0.51  ; Retrieved 295 unifiable terms in 489 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to give has 28 entries:
% 0.19/0.51  ;     6 with value (4 23)         16 with value (4 26)           6 with value (4 27)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.043 seconds of real time
% 0.19/0.51    0.036003 seconds of user run time
% 0.19/0.51    0.00711 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    3,516,256 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T19:52:54
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------