TSTP Solution File: SWV792-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV792-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 21:36:02 EDT 2022

% Result   : Unsatisfiable 34.40s 34.60s
% Output   : Refutation 34.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   23 (  18 unt;   1 nHn;  21 RR)
%            Number of literals    :   30 (   9 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  19 con; 0-3 aty)
%            Number of variables   :   36 (  23 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
    ( c_in(X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,Y)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(Z,U,X),c_List_Oset(Y,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).

cnf(cls_cert__A__form_1,axiom,
    ( X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,Y),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,Z),c_Message_Omsg_OAgent(U)))
    | ~ c_in(V,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | c_in(U,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,U),c_Message_Omsg_OMPair(W,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,Z),X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).

cnf(cls_msg_Osimps_I34_J_0,axiom,
    c_Message_Omsg_ONonce(X) != c_Message_Omsg_OMPair(Y,Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(X,Y,Z)
    | ~ hBOOL(hAPP(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X,Y))
    | ~ c_in(Y,X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(cls_msg_Osimps_I7_J_1,axiom,
    ( c_Message_Omsg_OCrypt(X,Y) != c_Message_Omsg_OCrypt(Z,U)
    | Y = U ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_7,negated_conjecture,
    v_B = v_Aa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_conjecture_8,negated_conjecture,
    v_A = v_Ba,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(cls_conjecture_9,negated_conjecture,
    c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(562,plain,
    c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_conjecture_8,theory(equality)]) ).

cnf(564,plain,
    ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_7,theory(equality)]) ).

cnf(743,plain,
    ~ hBOOL(hAPP(c_Event_Obad,v_Aa)),
    inference('UR-RESOLVE',[status(thm)],[cls_mem__def_1,564]) ).

cnf(752,plain,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs3)),
    inference('HYPERRESOLVE',[status(thm)],[cls_mem__def_0,cls_conjecture_2]) ).

cnf(947,plain,
    c_Message_Omsg_OCrypt(X,c_Message_Omsg_ONonce(Y)) != c_Message_Omsg_OCrypt(Z,c_Message_Omsg_OMPair(U,V)),
    inference('UR-RESOLVE',[status(thm)],[cls_msg_Osimps_I7_J_1,cls_msg_Osimps_I34_J_0]) ).

cnf(3104,plain,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Says__imp__parts__knows__Spy_0,562]) ).

cnf(5355,plain,
    ~ c_in(v_Aa,c_Event_Obad,X),
    inference('UR-RESOLVE',[status(thm)],[cls_mem__def_0,743]) ).

cnf(5376,plain,
    c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,X),
    inference('HYPERRESOLVE',[status(thm)],[cls_mem__def_1,752]) ).

cnf(42583,plain,
    v_X != c_Message_Omsg_OCrypt(X,c_Message_Omsg_OMPair(Y,Z)),
    inference('PARAMODULATE',[status(thm)],[947,cls_conjecture_9,theory(equality)]) ).

cnf(43003,plain,
    ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,Z),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_cert__A__form_1,42583,5376,5355]) ).

cnf(43004,plain,
    $false,
    inference('REWRITE',[status(thm)],[3104,43003]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV792-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 06:07:05 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T06:07:05
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-16T06:07:05
% 34.40/34.60  
% 34.40/34.60  
% 34.40/34.60  #||
% 34.40/34.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.40/34.60  % SZS output start Refutation
% See solution above
% 34.40/34.61  ||#
% 34.40/34.61  
% 34.40/34.61  ; Summary of computation:
% 34.40/34.61  ;     73708 formulas have been input or derived (from 958 formulas).
% 34.40/34.61  ;     43004 (58%) were retained.  Of these,
% 34.40/34.61  ;         1050 ( 2%) were simplified or subsumed later,
% 34.40/34.61  ;        41954 (98%) are still being kept.
% 34.40/34.61  ; 
% 34.40/34.61  ; Run time in seconds excluding printing time:
% 34.40/34.61  ;     0.130   0%   Read assertion file          (1 call)
% 34.40/34.61  ;     0.009   0%   Assert                       (642 calls)
% 34.40/34.61  ;     8.021  24%   Process new row              (66,941 calls)
% 34.40/34.61  ;     5.661  17%   Resolution                   (1,914 calls)
% 34.40/34.61  ;     0.146   0%   Paramodulation               (957 calls)
% 34.40/34.61  ;     0.000   0%   Factoring                    (15 calls)
% 34.40/34.61  ;     0.046   0%   Condensing                   (2,937 calls)
% 34.40/34.61  ;     0.902   3%   Forward subsumption          (2,937 calls)
% 34.40/34.61  ;     0.125   0%   Backward subsumption         (2,083 calls)
% 34.40/34.61  ;     0.038   0%   Clause clause subsumption    (4,537 calls)
% 34.40/34.61  ;     9.399  28%   Forward simplification       (66,921 calls)
% 34.40/34.61  ;     1.383   4%   Backward simplification      (42,964 calls)
% 34.40/34.61  ;     7.955  23%   Ordering                     (700,341 calls)
% 34.40/34.61  ;     0.001   0%   Sortal reasoning             (32 calls)
% 34.40/34.61  ;     0.000   0%   Purity testing               (1 call)
% 34.40/34.61  ;     0.307   1%   Other
% 34.40/34.61  ;    34.123        Total
% 34.40/34.61  ;    34.126        Real time
% 34.40/34.61  ; 
% 34.40/34.61  ; Term-hash-array has 113,444 terms in all.
% 34.40/34.61  ; Feature-vector-row-index has 1,985 entries (1,985 at peak, 2,083 added, 98 deleted).
% 34.40/34.61  ; Feature-vector-row-index has 32,625 nodes (32,625 at peak, 33,970 added, 1,345 deleted).
% 34.40/34.61  ;  Retrieved 6,010 possibly forward subsuming rows in 2,937 calls.
% 34.40/34.61  ;  Retrieved 559 possibly backward subsumed rows in 2,083 calls.
% 34.40/34.61  ; Path-index has 111,701 entries (111,702 at peak, 113,667 added, 1,966 deleted).
% 34.40/34.61  ; Path-index has 96,654 nodes (96,654 at peak, 97,848 added, 1,194 deleted).
% 34.40/34.61  ; Trie-index has 111,701 entries (111,702 at peak, 113,667 added, 1,966 deleted).
% 34.40/34.61  ; Trie-index has 848,598 nodes (848,603 at peak, 858,932 added, 10,334 deleted).
% 34.40/34.61  ; Retrieved 851,249 generalization terms in 525,475 calls.
% 34.40/34.61  ; Retrieved 51,776 instance terms in 41,161 calls.
% 34.40/34.61  ; Retrieved 5,507,198 unifiable terms in 76,999 calls.
% 34.40/34.61  ; 
% 34.40/34.61  ; The agenda of rows to process has 213 entries:
% 34.40/34.61  ;     7 with value 30             16 with value 51              60 with value 55
% 34.40/34.61  ;     9 with value 31             32 with value 52               8 with value 56
% 34.40/34.61  ;     4 with value 32             36 with value 53               8 with value 58
% 34.40/34.61  ;     3 with value 33             20 with value 54               8 with value 61
% 34.40/34.61  ;     2 with value 50
% 34.40/34.61  ; The agenda of rows to give has 41040 entries:
% 34.40/34.61  ;     1 with value (4 13)       1066 with value (4 59)           5 with value (4 105)
% 34.40/34.61  ;   300 with value (4 14)        997 with value (4 60)           4 with value (4 106)
% 34.40/34.61  ;   300 with value (4 15)        797 with value (4 61)           4 with value (4 107)
% 34.40/34.61  ;   773 with value (4 16)        479 with value (4 62)           2 with value (4 108)
% 34.40/34.61  ;   674 with value (4 17)        477 with value (4 63)           4 with value (4 109)
% 34.40/34.61  ;  1336 with value (4 18)        107 with value (4 64)           5 with value (4 110)
% 34.40/34.61  ;  1203 with value (4 19)         20 with value (4 65)           2 with value (4 111)
% 34.40/34.61  ;  1706 with value (4 20)         27 with value (4 66)           3 with value (4 112)
% 34.40/34.61  ;  1054 with value (4 21)         29 with value (4 67)           4 with value (4 113)
% 34.40/34.61  ;  1137 with value (4 22)         42 with value (4 68)           6 with value (4 114)
% 34.40/34.61  ;   563 with value (4 23)         15 with value (4 69)           2 with value (4 115)
% 34.40/34.61  ;   484 with value (4 24)         29 with value (4 70)           7 with value (4 116)
% 34.40/34.61  ;   457 with value (4 25)         24 with value (4 71)           2 with value (4 117)
% 34.40/34.61  ;   420 with value (4 26)         25 with value (4 72)           3 with value (4 118)
% 34.40/34.61  ;   537 with value (4 27)         26 with value (4 73)           2 with value (4 120)
% 34.40/34.61  ;   579 with value (4 28)         13 with value (4 74)           4 with value (4 121)
% 34.40/34.61  ;   721 with value (4 29)         11 with value (4 75)           2 with value (4 122)
% 34.40/34.61  ;   640 with value (4 30)          7 with value (4 76)           2 with value (4 123)
% 34.40/34.61  ;   705 with value (4 31)         15 with value (4 77)           2 with value (4 125)
% 34.40/34.61  ;   667 with value (4 32)         11 with value (4 78)           4 with value (4 126)
% 34.40/34.61  ;   632 with value (4 33)         18 with value (4 79)           4 with value (4 128)
% 34.40/34.61  ;   311 with value (4 34)          7 with value (4 80)           1 with value (4 129)
% 34.40/34.61  ;   200 with value (4 35)         16 with value (4 81)           1 with value (4 130)
% 34.40/34.61  ;   125 with value (4 36)         14 with value (4 82)           1 with value (4 132)
% 34.40/34.61  ;   137 with value (4 37)          9 with value (4 83)           2 with value (4 133)
% 34.40/34.61  ;   151 with value (4 38)          6 with value (4 84)           2 with value (4 134)
% 34.40/34.61  ;   242 with value (4 39)          4 with value (4 85)           1 with value (4 139)
% 34.40/34.61  ;   103 with value (4 40)          8 with value (4 86)           1 with value (4 141)
% 34.40/34.61  ;    51 with value (4 41)         19 with value (4 87)           1 with value (4 142)
% 34.40/34.61  ;    68 with value (4 42)         14 with value (4 88)           1 with value (4 143)
% 34.40/34.61  ;    64 with value (4 43)          4 with value (4 89)           2 with value (4 145)
% 34.40/34.61  ;    45 with value (4 44)          7 with value (4 90)           1 with value (4 146)
% 34.40/34.61  ;    32 with value (4 45)          3 with value (4 91)           2 with value (4 147)
% 34.40/34.61  ;    95 with value (4 46)          6 with value (4 92)           1 with value (4 148)
% 34.40/34.61  ;   190 with value (4 47)          7 with value (4 93)           1 with value (4 152)
% 34.40/34.61  ;   323 with value (4 48)         12 with value (4 94)           1 with value (4 155)
% 34.40/34.61  ;   320 with value (4 49)         11 with value (4 95)           1 with value (4 156)
% 34.40/34.61  ;  1026 with value (4 50)          3 with value (4 96)           1 with value (4 157)
% 34.40/34.61  ;  1083 with value (4 51)          5 with value (4 97)           1 with value (4 158)
% 34.40/34.61  ;  1967 with value (4 52)          3 with value (4 98)           1 with value (4 159)
% 34.40/34.61  ;  3049 with value (4 53)          6 with value (4 99)           1 with value (4 160)
% 34.40/34.61  ;  3503 with value (4 54)         10 with value (4 100)          1 with value (4 162)
% 34.40/34.61  ;  1522 with value (4 55)          4 with value (4 101)          1 with value (4 169)
% 34.40/34.61  ;  3067 with value (4 56)          4 with value (4 102)          1 with value (4 174)
% 34.40/34.61  ;  3202 with value (4 57)         10 with value (4 103)          1 with value (4 187)
% 34.40/34.61  ;   741 with value (4 58)          6 with value (4 104)
% 34.40/34.61  Evaluation took:
% 34.40/34.61    34.135 seconds of real time
% 34.40/34.61    32.128212 seconds of user run time
% 34.40/34.61    2.005987 seconds of system run time
% 34.40/34.61    [Run times include 8.468 seconds GC run time.]
% 34.40/34.61    0 calls to %EVAL
% 34.40/34.61    0 page faults and
% 34.40/34.61    1,705,387,824 bytes consed.
% 34.40/34.61  :PROOF-FOUND
% 34.40/34.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T06:07:39
% 34.40/34.61  :PROOF-FOUND
% 34.40/34.61  * 
%------------------------------------------------------------------------------