TSTP Solution File: SWV299-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV299-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 21:32:38 EDT 2022

% Result   : Unsatisfiable 0.13s 0.41s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  17 unt;   0 nHn;  21 RR)
%            Number of literals    :   27 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  14 con; 0-3 aty)
%            Number of variables   :   37 (  28 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_Aaa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

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/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

cnf(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0,axiom,
    ( ~ c_in(X,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(U,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V),c_Message_Omsg_OAgent(Y))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(U,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OAgent(W)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
    | c_in(Y,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) ).

cnf(9,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0,cls_conjecture_3]) ).

cnf(10,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0,cls_conjecture_4]) ).

cnf(11,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,9]) ).

cnf(13,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,11]) ).

cnf(15,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,13]) ).

cnf(17,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_evs3)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz__into__parts__dest_0,15]) ).

cnf(18,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0,17,cls_conjecture_1,cls_conjecture_0]) ).

cnf(19,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oanalz__into__parts__dest_0,18]) ).

cnf(21,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(Y,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,19]) ).

cnf(23,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(U),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,21]) ).

cnf(25,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(U,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,23]) ).

cnf(27,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(U,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(V,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(W),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,25]) ).

cnf(28,plain,
    $false,
    inference('REWRITE',[status(thm)],[10,27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem  : SWV299-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.10  % Command  : run-snark %s %d
% 0.08/0.29  % Computer : n032.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Thu Jun 16 04:04:14 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.13/0.37  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  * 
% 0.13/0.38  * 
% 0.13/0.38  #<PACKAGE "SNARK-USER">
% 0.13/0.38  * 
% 0.13/0.38  SNARK-TPTP-OPTIONS
% 0.13/0.38  * 
% 0.13/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38   (USE-FACTORING :POS)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38  * 
% 0.13/0.38  "."
% 0.13/0.38  * 
% 0.13/0.38  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T04:04:14
% 0.13/0.38  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-16T04:04:14
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  #||
% 0.13/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41  % SZS output start Refutation
% See solution above
% 0.13/0.41  ||#
% 0.13/0.41  
% 0.13/0.41  ; Summary of computation:
% 0.13/0.41  ;        37 formulas have been input or derived (from 25 formulas).
% 0.13/0.41  ;        28 (76%) were retained.  Of these,
% 0.13/0.41  ;            1 ( 4%) were simplified or subsumed later,
% 0.13/0.41  ;           27 (96%) are still being kept.
% 0.13/0.41  ; 
% 0.13/0.41  ; Run time in seconds excluding printing time:
% 0.13/0.41  ;     0.002   9%   Read assertion file          (1 call)
% 0.13/0.41  ;     0.000   0%   Assert                       (8 calls)
% 0.13/0.41  ;     0.004  18%   Process new row              (28 calls)
% 0.13/0.41  ;     0.000   0%   Resolution                   (48 calls)
% 0.13/0.41  ;     0.001   5%   Paramodulation               (24 calls)
% 0.13/0.41  ;     0.000   0%   Condensing                   (4 calls)
% 0.13/0.41  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.13/0.41  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.13/0.41  ;     0.001   5%   Forward simplification       (28 calls)
% 0.13/0.41  ;     0.000   0%   Backward simplification      (28 calls)
% 0.13/0.41  ;     0.001   5%   Sortal reasoning             (32 calls)
% 0.13/0.41  ;     0.000   0%   Purity testing               (1 call)
% 0.13/0.41  ;     0.013  59%   Other
% 0.13/0.41  ;     0.022        Total
% 0.13/0.41  ;     0.025        Real time
% 0.13/0.41  ; 
% 0.13/0.41  ; Term-hash-array has 128 terms in all.
% 0.13/0.41  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.13/0.41  ; Feature-vector-row-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.13/0.41  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.13/0.41  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.13/0.41  ; Path-index has 141 entries (142 at peak, 142 added, 1 deleted).
% 0.13/0.41  ; Path-index has 860 nodes (869 at peak, 869 added, 9 deleted).
% 0.13/0.41  ; Trie-index has 141 entries (142 at peak, 142 added, 1 deleted).
% 0.13/0.41  ; Trie-index has 882 nodes (920 at peak, 920 added, 38 deleted).
% 0.13/0.41  ; Retrieved 0 generalization terms in 32 calls.
% 0.13/0.41  ; Retrieved 24 instance terms in 23 calls.
% 0.13/0.41  ; Retrieved 114 unifiable terms in 433 calls.
% 0.13/0.41  ; 
% 0.13/0.41  ; The agenda of rows to give has 2 entries:
% 0.13/0.41  ;     2 with value (4 48)
% 0.13/0.41  Evaluation took:
% 0.13/0.41    0.025 seconds of real time
% 0.13/0.41    0.020973 seconds of user run time
% 0.13/0.41    0.004097 seconds of system run time
% 0.13/0.41    0 calls to %EVAL
% 0.13/0.41    0 page faults and
% 0.13/0.41    4,512,088 bytes consed.
% 0.13/0.41  :PROOF-FOUND
% 0.13/0.41  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T04:04:14
% 0.13/0.41  :PROOF-FOUND
% 0.13/0.41  * 
%------------------------------------------------------------------------------