TSTP Solution File: SWV324-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV324-2 : 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 21:32:48 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   17 (  11 unt;   1 nHn;  17 RR)
%            Number of literals    :   23 (   2 equ;  12 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   :   22 (  14 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__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__into__parts__dest_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__into__parts__dest_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(11,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(13,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_0,11]) ).

cnf(15,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(18,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_0,13]) ).

cnf(27,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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__parts_0,18]) ).

cnf(46,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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__parts_0,27]) ).

cnf(73,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz__into__parts__dest_0,15]),46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV324-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n011.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 : Wed Jun 15 17:56:35 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T17:56:35
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-15T17:56:35
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        76 formulas have been input or derived (from 46 formulas).
% 0.21/0.52  ;        73 (96%) were retained.  Of these,
% 0.21/0.52  ;            3 ( 4%) were simplified or subsumed later,
% 0.21/0.52  ;           70 (96%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds excluding printing time:
% 0.21/0.52  ;     0.002   5%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.000   0%   Assert                       (8 calls)
% 0.21/0.52  ;     0.007  18%   Process new row              (72 calls)
% 0.21/0.52  ;     0.003   8%   Resolution                   (90 calls)
% 0.21/0.52  ;     0.001   2%   Paramodulation               (45 calls)
% 0.21/0.52  ;     0.001   2%   Condensing                   (4 calls)
% 0.21/0.52  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.21/0.52  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.21/0.52  ;     0.002   5%   Forward simplification       (72 calls)
% 0.21/0.53  ;     0.001   2%   Backward simplification      (71 calls)
% 0.21/0.53  ;     0.000   0%   Ordering                     (5 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.023  58%   Other
% 0.21/0.53  ;     0.040        Total
% 0.21/0.53  ;     0.043        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 178 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 21 nodes (21 at peak, 21 added, 0 deleted).
% 0.21/0.53  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.21/0.53  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.21/0.53  ; Path-index has 189 entries (189 at peak, 195 added, 6 deleted).
% 0.21/0.53  ; Path-index has 690 nodes (690 at peak, 701 added, 11 deleted).
% 0.21/0.53  ; Trie-index has 189 entries (189 at peak, 195 added, 6 deleted).
% 0.21/0.53  ; Trie-index has 813 nodes (813 at peak, 832 added, 19 deleted).
% 0.21/0.53  ; Retrieved 3 generalization terms in 76 calls.
% 0.21/0.53  ; Retrieved 66 instance terms in 66 calls.
% 0.21/0.53  ; Retrieved 239 unifiable terms in 576 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to give has 24 entries:
% 0.21/0.53  ;    16 with value (4 26)          8 with value (4 27)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.044 seconds of real time
% 0.21/0.53    0.039214 seconds of user run time
% 0.21/0.53    0.004162 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    3,385,272 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T17:56:35
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------