TSTP Solution File: SWV302-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV302-2 : 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 21:32:39 EDT 2022

% Result   : Unsatisfiable 0.11s 0.39s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (  10 unt;   1 nHn;  15 RR)
%            Number of literals    :   21 (   2 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-3 aty)
%            Number of variables   :   11 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_13,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,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_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | v_NB = c_Message_Omsg_ONonce(v_NBa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_13) ).

cnf(cls_conjecture_16,negated_conjecture,
    ( 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_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ 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(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_16) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_5,negated_conjecture,
    ~ 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_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
    ( ~ c_in(X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,Y)),tc_Message_Omsg)
    | c_in(X,c_Event_Oused(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_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_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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

cnf(9,plain,
    ~ 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(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    inference('REWRITE',[status(thm)],[cls_conjecture_16,cls_conjecture_5,cls_conjecture_4]) ).

cnf(10,plain,
    v_NB = c_Message_Omsg_ONonce(v_NBa),
    inference('REWRITE',[status(thm)],[cls_conjecture_13,9]) ).

cnf(11,plain,
    ~ c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[cls_conjecture_2,10,theory(equality)]) ).

cnf(12,plain,
    c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts_OBody__dest_0,cls_conjecture_4]) ).

cnf(13,plain,
    ~ c_in(v_NB,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,11]) ).

cnf(15,plain,
    ~ c_in(c_Message_Omsg_OMPair(v_NB,X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__parts_1,13]) ).

cnf(16,plain,
    $false,
    inference('REWRITE',[status(thm)],[12,15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SWV302-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.09  % Command  : run-snark %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Tue Jun 14 18:00:58 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.11/0.36  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  * 
% 0.11/0.36  * 
% 0.11/0.37  #<PACKAGE "SNARK-USER">
% 0.11/0.37  * 
% 0.11/0.37  SNARK-TPTP-OPTIONS
% 0.11/0.37  * 
% 0.11/0.37  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.37   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.37   (USE-FACTORING :POS)
% 0.11/0.37   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.37   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.37   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.37   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.37   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.37   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.37   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.37   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.37   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.37   (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.37  * 
% 0.11/0.37  "."
% 0.11/0.37  * 
% 0.11/0.37  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T18:00:58
% 0.11/0.37  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-14T18:00:58
% 0.11/0.39  
% 0.11/0.39  
% 0.11/0.39  #||
% 0.11/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.39  % SZS output start Refutation
% See solution above
% 0.11/0.39  ||#
% 0.11/0.39  
% 0.11/0.39  ; Summary of computation:
% 0.11/0.39  ;        20 formulas have been input or derived (from 10 formulas).
% 0.11/0.39  ;        16 (80%) were retained.  Of these,
% 0.11/0.39  ;            4 (25%) were simplified or subsumed later,
% 0.11/0.39  ;           12 (75%) are still being kept.
% 0.11/0.39  ; 
% 0.11/0.39  ; Run time in seconds excluding printing time:
% 0.11/0.39  ;     0.002   9%   Read assertion file          (1 call)
% 0.11/0.39  ;     0.000   0%   Assert                       (8 calls)
% 0.11/0.39  ;     0.003  14%   Process new row              (17 calls)
% 0.11/0.39  ;     0.001   5%   Resolution                   (18 calls)
% 0.11/0.39  ;     0.000   0%   Paramodulation               (9 calls)
% 0.11/0.39  ;     0.000   0%   Condensing                   (5 calls)
% 0.11/0.39  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.11/0.39  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.11/0.39  ;     0.000   0%   Forward simplification       (17 calls)
% 0.11/0.39  ;     0.000   0%   Backward simplification      (16 calls)
% 0.11/0.39  ;     0.000   0%   Ordering                     (5 calls)
% 0.11/0.39  ;     0.001   5%   Sortal reasoning             (32 calls)
% 0.11/0.39  ;     0.000   0%   Purity testing               (1 call)
% 0.11/0.39  ;     0.015  68%   Other
% 0.11/0.39  ;     0.022        Total
% 0.11/0.39  ;     0.022        Real time
% 0.11/0.39  ; 
% 0.11/0.39  ; Term-hash-array has 55 terms in all.
% 0.11/0.39  ; Feature-vector-row-index has 3 entries (4 at peak, 5 added, 2 deleted).
% 0.11/0.39  ; Feature-vector-row-index has 17 nodes (115 at peak, 131 added, 114 deleted).
% 0.11/0.39  ;  Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.11/0.39  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.11/0.39  ; Path-index has 58 entries (61 at peak, 82 added, 24 deleted).
% 0.11/0.39  ; Path-index has 400 nodes (405 at peak, 447 added, 47 deleted).
% 0.11/0.39  ; Trie-index has 58 entries (61 at peak, 82 added, 24 deleted).
% 0.11/0.39  ; Trie-index has 331 nodes (399 at peak, 591 added, 260 deleted).
% 0.11/0.39  ; Retrieved 1 generalization term in 15 calls.
% 0.11/0.39  ; Retrieved 12 instance terms in 10 calls.
% 0.11/0.39  ; Retrieved 53 unifiable terms in 104 calls.
% 0.11/0.39  ; 
% 0.11/0.39  ; The agenda of rows to process has 1 entry:
% 0.11/0.39  ;     1 with value 14
% 0.11/0.39  ; The agenda of rows to give has 2 entries:
% 0.11/0.39  ;     1 with value (4 14)          1 with value (4 16)
% 0.11/0.39  Evaluation took:
% 0.11/0.39    0.023 seconds of real time
% 0.11/0.39    0.022831 seconds of user run time
% 0.11/0.39    1.47e-4 seconds of system run time
% 0.11/0.39    0 calls to %EVAL
% 0.11/0.39    0 page faults and
% 0.11/0.39    3,185,744 bytes consed.
% 0.11/0.39  :PROOF-FOUND
% 0.11/0.39  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T18:00:58
% 0.11/0.39  :PROOF-FOUND
% 0.11/0.39  * 
%------------------------------------------------------------------------------