TSTP Solution File: SWV289-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV289-2 : 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 21:32:35 EDT 2022

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   11 (   9 unt;   2 nHn;  11 RR)
%            Number of literals    :   20 (   0 equ;  10 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  15 con; 0-3 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(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_OMPair(v_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,negated_conjecture,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_OtwayRees_OB__trusts__OR3__dest_0,axiom,
    ( ~ c_in(X,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(U,c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(V,c_Message_Omsg_OKey(W)))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(Y,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(Y1,c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(V,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(Y)))))))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(Y,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(Z,c_Message_Omsg_OKey(W))),c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(V,c_Message_Omsg_OKey(W)))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OB__trusts__OR3__dest_0) ).

cnf(cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0,axiom,
    ( ~ c_in(X,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(U),c_Message_Omsg_OMPair(Z,c_Message_Omsg_OKey(V))),c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(W,c_Message_Omsg_OKey(V)))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OKey(V),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
    | c_in(Y,c_Event_Obad,tc_Message_Oagent)
    | c_in(U,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(W,c_Message_Omsg_OKey(V)))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0) ).

cnf(12,plain,
    ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference('UR-RESOLVE',[status(thm)],[cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0,cls_conjecture_5,cls_conjecture_6,cls_conjecture_4,cls_conjecture_3,cls_conjecture_2]) ).

cnf(14,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OtwayRees_OB__trusts__OR3__dest_0,cls_conjecture_5,cls_conjecture_1,cls_conjecture_0,cls_conjecture_4]),12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : SWV289-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.09  % Command  : run-snark %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Wed Jun 15 23:06:29 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.37  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  * 
% 0.13/0.37  * 
% 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 2022-06-15T23:06:29
% 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 2022-06-15T23:06:29
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  #||
% 0.13/0.40  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40  % SZS output start Refutation
% See solution above
% 0.13/0.40  ||#
% 0.13/0.40  
% 0.13/0.40  ; Summary of computation:
% 0.13/0.40  ;        15 formulas have been input or derived (from 10 formulas).
% 0.13/0.40  ;        14 (93%) were retained.  Of these,
% 0.13/0.40  ;           14 (100%) are still being kept.
% 0.13/0.40  ; 
% 0.13/0.40  ; Run time in seconds excluding printing time:
% 0.13/0.40  ;     0.002  10%   Read assertion file          (1 call)
% 0.13/0.40  ;     0.001   5%   Assert                       (9 calls)
% 0.13/0.40  ;     0.002  10%   Process new row              (14 calls)
% 0.13/0.40  ;     0.000   0%   Resolution                   (18 calls)
% 0.13/0.40  ;     0.000   0%   Paramodulation               (9 calls)
% 0.13/0.40  ;     0.000   0%   Condensing                   (2 calls)
% 0.13/0.40  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.13/0.40  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.13/0.40  ;     0.000   0%   Forward simplification       (14 calls)
% 0.13/0.40  ;     0.000   0%   Backward simplification      (14 calls)
% 0.13/0.40  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.13/0.40  ;     0.000   0%   Purity testing               (1 call)
% 0.13/0.40  ;     0.015  75%   Other
% 0.13/0.40  ;     0.020        Total
% 0.13/0.40  ;     0.022        Real time
% 0.13/0.40  ; 
% 0.13/0.40  ; Term-hash-array has 99 terms in all.
% 0.13/0.40  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.13/0.40  ; Feature-vector-row-index has 92 nodes (92 at peak, 92 added, 0 deleted).
% 0.13/0.40  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.13/0.40  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.13/0.40  ; Path-index has 114 entries (114 at peak, 114 added, 0 deleted).
% 0.13/0.40  ; Path-index has 569 nodes (569 at peak, 569 added, 0 deleted).
% 0.13/0.40  ; Trie-index has 114 entries (114 at peak, 114 added, 0 deleted).
% 0.13/0.40  ; Trie-index has 776 nodes (776 at peak, 776 added, 0 deleted).
% 0.13/0.40  ; Retrieved 1 generalization term in 22 calls.
% 0.13/0.40  ; Retrieved 11 instance terms in 11 calls.
% 0.13/0.40  ; Retrieved 67 unifiable terms in 158 calls.
% 0.13/0.40  ; 
% 0.13/0.40  ; The agenda of rows to process has 1 entry:
% 0.13/0.40  ;     1 with value 38
% 0.13/0.40  ; The agenda of rows to give has 4 entries:
% 0.13/0.40  ;     4 with value (4 33)
% 0.13/0.40  Evaluation took:
% 0.13/0.40    0.022 seconds of real time
% 0.13/0.40    0.016908 seconds of user run time
% 0.13/0.40    0.00501 seconds of system run time
% 0.13/0.40    0 calls to %EVAL
% 0.13/0.40    0 page faults and
% 0.13/0.40    3,103,488 bytes consed.
% 0.13/0.40  :PROOF-FOUND
% 0.13/0.40  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T23:06:29
% 0.13/0.40  :PROOF-FOUND
% 0.13/0.40  * 
%------------------------------------------------------------------------------