TSTP Solution File: SWV291-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV291-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 21:32:36 EDT 2022

% Result   : Unsatisfiable 0.37s 0.61s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   18 (  12 unt;   2 nHn;  18 RR)
%            Number of literals    :   28 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  11 con; 0-3 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(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_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,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_evsf,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_5,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_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(7,plain,
    ~ c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[cls_conjecture_5,cls_conjecture_4]) ).

cnf(cls_Message_OCrypt__synth_0,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(X,Y),c_Message_Osynth(Z),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(X,Y),Z,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(X),Z,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).

cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
    ( ~ c_in(X,c_Message_Oparts(c_insert(Y,Z,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(Y,c_Message_Osynth(c_Message_Oanalz(Z)),tc_Message_Omsg)
    | c_in(X,c_union(c_Message_Osynth(c_Message_Oanalz(Z)),c_Message_Oparts(Z),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
    ( ~ c_in(X,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(Y)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
    | c_in(Y,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

cnf(cls_Set_OUnE_0,axiom,
    ( ~ c_in(X,c_union(Y,Z,U),U)
    | c_in(X,Z,U)
    | c_in(X,Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

cnf(14,plain,
    ~ c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oanalz__into__parts__dest_0,7]) ).

cnf(16,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_OtwayRees_OSpy__see__shrK__D__dest_0,cls_conjecture_1,cls_conjecture_0]) ).

cnf(17,plain,
    c_in(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_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0,cls_conjecture_3,cls_conjecture_2]) ).

cnf(22,plain,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oanalz__into__parts__dest_0,16]) ).

cnf(110,plain,
    ~ c_in(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_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OCrypt__synth_0,14,22]) ).

cnf(596,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_OUnE_0,110,7]),17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV291-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n017.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 : Wed Jun 15 06:51:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/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  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T06:51:54
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-15T06:51:54
% 0.37/0.61  
% 0.37/0.61  
% 0.37/0.61  #||
% 0.37/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.61  % SZS output start Refutation
% See solution above
% 0.37/0.61  ||#
% 0.37/0.61  
% 0.37/0.61  ; Summary of computation:
% 0.37/0.61  ;       634 formulas have been input or derived (from 43 formulas).
% 0.37/0.61  ;       596 (94%) were retained.  Of these,
% 0.37/0.61  ;            1 ( 0%) were simplified or subsumed later,
% 0.37/0.61  ;          595 (100%) are still being kept.
% 0.37/0.61  ; 
% 0.37/0.61  ; Run time in seconds excluding printing time:
% 0.37/0.61  ;     0.004   3%   Read assertion file          (1 call)
% 0.37/0.61  ;     0.001   1%   Assert                       (11 calls)
% 0.37/0.61  ;     0.071  54%   Process new row              (618 calls)
% 0.37/0.61  ;     0.009   7%   Resolution                   (84 calls)
% 0.37/0.61  ;     0.003   2%   Paramodulation               (42 calls)
% 0.37/0.61  ;     0.000   0%   Condensing                   (5 calls)
% 0.37/0.61  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.37/0.61  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.37/0.61  ;     0.011   8%   Forward simplification       (618 calls)
% 0.37/0.61  ;     0.005   4%   Backward simplification      (595 calls)
% 0.37/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.61  ;     0.027  21%   Other
% 0.37/0.61  ;     0.131        Total
% 0.37/0.61  ;     0.133        Real time
% 0.37/0.61  ; 
% 0.37/0.61  ; Term-hash-array has 1,213 terms in all.
% 0.37/0.61  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.37/0.61  ; Feature-vector-row-index has 52 nodes (52 at peak, 52 added, 0 deleted).
% 0.37/0.61  ;  Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.37/0.61  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.37/0.61  ; Path-index has 1,224 entries (1,224 at peak, 1,224 added, 0 deleted).
% 0.37/0.61  ; Path-index has 1,008 nodes (1,008 at peak, 1,008 added, 0 deleted).
% 0.37/0.61  ; Trie-index has 1,224 entries (1,224 at peak, 1,224 added, 0 deleted).
% 0.37/0.61  ; Trie-index has 10,022 nodes (10,022 at peak, 10,022 added, 0 deleted).
% 0.37/0.61  ; Retrieved 25 generalization terms in 627 calls.
% 0.37/0.61  ; Retrieved 589 instance terms in 589 calls.
% 0.37/0.61  ; Retrieved 8,514 unifiable terms in 601 calls.
% 0.37/0.61  ; 
% 0.37/0.61  ; The agenda of rows to process has 5 entries:
% 0.37/0.61  ;     1 with value 32              4 with value 33
% 0.37/0.61  ; The agenda of rows to give has 552 entries:
% 0.37/0.61  ;     6 with value (4 26)          4 with value (4 32)          60 with value (4 37)
% 0.37/0.61  ;    21 with value (4 28)         16 with value (4 33)          80 with value (4 39)
% 0.37/0.61  ;    12 with value (4 29)         48 with value (4 34)          36 with value (4 40)
% 0.37/0.61  ;    28 with value (4 30)          1 with value (4 35)           1 with value (4 41)
% 0.37/0.61  ;    32 with value (4 31)         47 with value (4 36)         160 with value (4 42)
% 0.37/0.61  Evaluation took:
% 0.37/0.61    0.134 seconds of real time
% 0.37/0.61    0.115701 seconds of user run time
% 0.37/0.61    0.018197 seconds of system run time
% 0.37/0.61    0 calls to %EVAL
% 0.37/0.61    0 page faults and
% 0.37/0.61    10,046,504 bytes consed.
% 0.37/0.61  :PROOF-FOUND
% 0.37/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T06:51:54
% 0.37/0.61  :PROOF-FOUND
% 0.37/0.61  * 
%------------------------------------------------------------------------------