TSTP Solution File: SWV286-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV286-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 21:32:34 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   10 (   8 unt;   2 nHn;  10 RR)
%            Number of literals    :   17 (   0 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  11 con; 0-5 aty)
%            Number of variables   :   16 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_OtwayRees_OA__trusts__OR4__dest_0,axiom,
    ( ~ c_in(X,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(Y,Z,c_Message_Omsg_OMPair(U,c_Message_Omsg_OCrypt(c_Public_OshrK(Z),c_Message_Omsg_OMPair(U,c_Message_Omsg_OKey(V))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(Z,W,c_Message_Omsg_OMPair(U,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(W),c_Message_Omsg_OCrypt(c_Public_OshrK(Z),c_Message_Omsg_OMPair(U,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OAgent(W)))))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(Z,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,W,c_Message_Omsg_OMPair(U,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Z),c_Message_Omsg_OMPair(U,c_Message_Omsg_OKey(V))),c_Message_Omsg_OCrypt(c_Public_OshrK(W),c_Message_Omsg_OMPair(v_sko__u8o(Z,W,V,U,X),c_Message_Omsg_OKey(V)))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OA__trusts__OR4__dest_0) ).

cnf(cls_OtwayRees_OOR3__imp__OR2__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(Y,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_OSays(Y,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(U),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(v_sko__vEb(U,Y,Z,W,X),c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(Z,c_Message_Omsg_OMPair(W,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(U),c_Message_Omsg_OAgent(Y)))))))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OOR3__imp__OR2__dest_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_B,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_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_5,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(X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(Y,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_5) ).

cnf(9,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(X))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(Y,c_Message_Omsg_OKey(X)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference('UR-RESOLVE',[status(thm)],[cls_OtwayRees_OOR3__imp__OR2__dest_0,cls_conjecture_4,cls_conjecture_3,cls_conjecture_5]) ).

cnf(10,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_OtwayRees_OA__trusts__OR4__dest_0,cls_conjecture_4,cls_conjecture_0,cls_conjecture_1,cls_conjecture_2]),9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV286-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 04:47:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T04:47:12
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-16T04:47:12
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        11 formulas have been input or derived (from 9 formulas).
% 0.19/0.49  ;        10 (91%) were retained.  Of these,
% 0.19/0.49  ;           10 (100%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.004  12%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.000   0%   Assert                       (8 calls)
% 0.19/0.49  ;     0.003   9%   Process new row              (10 calls)
% 0.19/0.49  ;     0.001   3%   Resolution                   (16 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (8 calls)
% 0.19/0.49  ;     0.000   0%   Condensing                   (2 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.19/0.49  ;     0.002   6%   Forward simplification       (10 calls)
% 0.19/0.49  ;     0.000   0%   Backward simplification      (10 calls)
% 0.19/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.022  69%   Other
% 0.19/0.49  ;     0.032        Total
% 0.19/0.49  ;     0.035        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 93 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 86 nodes (86 at peak, 86 added, 0 deleted).
% 0.19/0.49  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.19/0.49  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.19/0.49  ; Path-index has 104 entries (104 at peak, 104 added, 0 deleted).
% 0.19/0.49  ; Path-index has 662 nodes (662 at peak, 662 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 104 entries (104 at peak, 104 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 788 nodes (788 at peak, 788 added, 0 deleted).
% 0.19/0.49  ; Retrieved 1 generalization term in 7 calls.
% 0.19/0.49  ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.49  ; Retrieved 55 unifiable terms in 136 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to process has 1 entry:
% 0.19/0.49  ;     1 with value 43
% 0.19/0.49  ; The agenda of rows to give has 1 entry:
% 0.19/0.49  ;     1 with value (4 33)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.035 seconds of real time
% 0.19/0.49    0.031999 seconds of user run time
% 0.19/0.49    0.003028 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    3,098,768 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T04:47:12
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------