TSTP Solution File: SWV298-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV298-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   24 (  18 unt;   1 nHn;  24 RR)
%            Number of literals    :   33 (   4 equ;  17 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  14 con; 0-3 aty)
%            Number of variables   :   29 (  16 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_NA),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_NA),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_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(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_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),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_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_7,negated_conjecture,
    ( X != c_Message_Omsg_ONonce(v_NB)
    | v_B != v_Ba ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

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_Message_OMPair__parts_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oparts(Z),tc_Message_Omsg)
    | c_in(X,c_Message_Oparts(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

cnf(cls_OtwayRees_Ounique__NA__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(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OAgent(U)))),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(Z,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OAgent(V)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
    | c_in(Y,c_Event_Obad,tc_Message_Oagent)
    | V = U ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_Ounique__NA__dest_0) ).

cnf(11,plain,
    v_B != v_Ba,
    inference('UR-RESOLVE',[status(thm)],[cls_conjecture_7,theory(equality)]) ).

cnf(12,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),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_NA),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(13,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(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_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),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_A),c_Message_Omsg_OAgent(v_Ba))))))))),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(14,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_NA),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_0,12]) ).

cnf(16,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_NA),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_0,14]) ).

cnf(18,plain,
    c_in(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_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_0,16]) ).

cnf(20,plain,
    c_in(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_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_0,18]) ).

cnf(21,plain,
    ~ c_in(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_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_OtwayRees_Ounique__NA__dest_0,20,cls_conjecture_1,cls_conjecture_0,11]) ).

cnf(23,plain,
    ~ c_in(c_Message_Omsg_OMPair(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_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__parts_1,21]) ).

cnf(27,plain,
    ~ c_in(c_Message_Omsg_OMPair(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_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),X),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_0,23]) ).

cnf(33,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(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_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),Y)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,27]) ).

cnf(40,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OMPair(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_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),Z))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,33]) ).

cnf(48,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(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_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),U)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,40]) ).

cnf(49,plain,
    $false,
    inference('REWRITE',[status(thm)],[13,48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV298-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n015.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 22:07:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-14T22:07:39
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-14T22:07:39
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;        66 formulas have been input or derived (from 40 formulas).
% 0.19/0.52  ;        49 (74%) were retained.  Of these,
% 0.19/0.52  ;            2 ( 4%) were simplified or subsumed later,
% 0.19/0.52  ;           47 (96%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.004   9%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.000   0%   Assert                       (10 calls)
% 0.19/0.52  ;     0.008  18%   Process new row              (51 calls)
% 0.19/0.52  ;     0.001   2%   Resolution                   (78 calls)
% 0.19/0.52  ;     0.005  11%   Paramodulation               (39 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (6 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.19/0.52  ;     0.001   2%   Backward subsumption         (6 calls)
% 0.19/0.52  ;     0.000   0%   Forward simplification       (51 calls)
% 0.19/0.52  ;     0.003   7%   Backward simplification      (49 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (1 call)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.022  50%   Other
% 0.19/0.52  ;     0.044        Total
% 0.19/0.52  ;     0.048        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 147 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 5 entries (6 at peak, 6 added, 1 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 50 nodes (57 at peak, 57 added, 7 deleted).
% 0.19/0.52  ;  Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.19/0.52  ;  Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.19/0.52  ; Path-index has 159 entries (160 at peak, 161 added, 2 deleted).
% 0.19/0.52  ; Path-index has 1,160 nodes (1,165 at peak, 1,166 added, 6 deleted).
% 0.19/0.52  ; Trie-index has 159 entries (160 at peak, 161 added, 2 deleted).
% 0.19/0.52  ; Trie-index has 1,192 nodes (1,224 at peak, 1,226 added, 34 deleted).
% 0.19/0.52  ; Retrieved 1 generalization term in 53 calls.
% 0.19/0.52  ; Retrieved 43 instance terms in 42 calls.
% 0.19/0.52  ; Retrieved 263 unifiable terms in 705 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to give has 8 entries:
% 0.19/0.52  ;     3 with value (4 41)          1 with value (4 44)           4 with value (4 45)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.049 seconds of real time
% 0.19/0.52    0.042879 seconds of user run time
% 0.19/0.52    0.006149 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    4,975,096 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T22:07:39
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------