TSTP Solution File: SWV342-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV342-2 : 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 21:32:54 EDT 2022

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   9 unt;   0 nHn;  13 RR)
%            Number of literals    :   19 (   1 equ;  10 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  10 con; 0-3 aty)
%            Number of variables   :   21 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_9,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).

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_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_0,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(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_OMPair__parts_0) ).

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(cls_Message_Oparts_OInj_0,axiom,
    ( ~ c_in(X,Y,tc_Message_Omsg)
    | c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_Message_Oparts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X)) = c_Message_Oparts(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).

cnf(10,plain,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),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,cls_conjecture_3]) ).

cnf(11,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K)))),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_9]) ).

cnf(14,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__parts_0,10]) ).

cnf(19,plain,
    ~ c_in(c_Message_Omsg_OCrypt(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts_OBody__dest_0,14]) ).

cnf(29,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OCrypt(Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__parts_0,19]) ).

cnf(202,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,11]),29,cls_Message_Oparts__analz_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWV342-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jun 16 01:42:29 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.42  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43  * 
% 0.17/0.43  * 
% 0.17/0.43  #<PACKAGE "SNARK-USER">
% 0.17/0.43  * 
% 0.17/0.43  SNARK-TPTP-OPTIONS
% 0.17/0.43  * 
% 0.17/0.43  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.43   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.43   (USE-FACTORING :POS)
% 0.17/0.43   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.43   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.43   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.43   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.43   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.43   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.43   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.43   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.43   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.43   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.43  * 
% 0.17/0.43  "."
% 0.17/0.43  * 
% 0.17/0.44  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T01:42:29
% 0.17/0.44  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-16T01:42:29
% 0.17/0.48  
% 0.17/0.48  
% 0.17/0.48  #||
% 0.17/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48  % SZS output start Refutation
% See solution above
% 0.17/0.48  ||#
% 0.17/0.48  
% 0.17/0.48  ; Summary of computation:
% 0.17/0.48  ;       208 formulas have been input or derived (from 137 formulas).
% 0.17/0.48  ;       202 (97%) were retained.  Of these,
% 0.17/0.48  ;          202 (100%) are still being kept.
% 0.17/0.48  ; 
% 0.17/0.48  ; Run time in seconds excluding printing time:
% 0.17/0.48  ;     0.001   2%   Read assertion file          (1 call)
% 0.17/0.48  ;     0.000   0%   Assert                       (9 calls)
% 0.17/0.48  ;     0.014  32%   Process new row              (205 calls)
% 0.17/0.48  ;     0.005  11%   Resolution                   (272 calls)
% 0.17/0.48  ;     0.001   2%   Paramodulation               (136 calls)
% 0.17/0.48  ;     0.000   0%   Condensing                   (8 calls)
% 0.17/0.48  ;     0.000   0%   Forward subsumption          (8 calls)
% 0.17/0.48  ;     0.000   0%   Backward subsumption         (6 calls)
% 0.17/0.48  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.17/0.48  ;     0.003   7%   Forward simplification       (205 calls)
% 0.17/0.48  ;     0.003   7%   Backward simplification      (202 calls)
% 0.17/0.48  ;     0.001   2%   Ordering                     (8 calls)
% 0.17/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.17/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.48  ;     0.016  36%   Other
% 0.17/0.48  ;     0.044        Total
% 0.17/0.48  ;     0.046        Real time
% 0.17/0.48  ; 
% 0.17/0.48  ; Term-hash-array has 479 terms in all.
% 0.17/0.48  ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.17/0.48  ; Feature-vector-row-index has 28 nodes (28 at peak, 28 added, 0 deleted).
% 0.17/0.48  ;  Retrieved 4 possibly forward subsuming rows in 8 calls.
% 0.17/0.48  ;  Retrieved 2 possibly backward subsumed rows in 6 calls.
% 0.17/0.48  ; Path-index has 489 entries (489 at peak, 489 added, 0 deleted).
% 0.17/0.48  ; Path-index has 1,776 nodes (1,776 at peak, 1,776 added, 0 deleted).
% 0.17/0.48  ; Trie-index has 489 entries (489 at peak, 489 added, 0 deleted).
% 0.17/0.48  ; Trie-index has 2,139 nodes (2,139 at peak, 2,139 added, 0 deleted).
% 0.17/0.48  ; Retrieved 2 generalization terms in 342 calls.
% 0.17/0.48  ; Retrieved 195 instance terms in 195 calls.
% 0.17/0.48  ; Retrieved 699 unifiable terms in 2,003 calls.
% 0.17/0.48  ; 
% 0.17/0.48  ; The agenda of rows to give has 65 entries:
% 0.17/0.48  ;     1 with value (4 20)         64 with value (4 35)
% 0.17/0.48  Evaluation took:
% 0.17/0.48    0.047 seconds of real time
% 0.17/0.48    0.042067 seconds of user run time
% 0.17/0.48    0.004252 seconds of system run time
% 0.17/0.48    0 calls to %EVAL
% 0.17/0.48    0 page faults and
% 0.17/0.48    5,072,864 bytes consed.
% 0.17/0.48  :PROOF-FOUND
% 0.17/0.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T01:42:29
% 0.17/0.48  :PROOF-FOUND
% 0.17/0.48  * 
%------------------------------------------------------------------------------