TSTP Solution File: SWV791-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV791-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 41.85s 42.08s
% Output   : Refutation 41.85s
% 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;  18 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(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(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(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(539,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(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(541,plain,
    ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_7,theory(equality)]) ).

cnf(735,plain,
    ~ hBOOL(hAPP(c_Event_Obad,v_Aa)),
    inference('UR-RESOLVE',[status(thm)],[cls_mem__def_1,541]) ).

cnf(741,plain,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs3)),
    inference('HYPERRESOLVE',[status(thm)],[cls_mem__def_0,cls_conjecture_2]) ).

cnf(911,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(2602,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(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_0,539]) ).

cnf(4748,plain,
    ~ c_in(v_Aa,c_Event_Obad,X),
    inference('UR-RESOLVE',[status(thm)],[cls_mem__def_0,735]) ).

cnf(4777,plain,
    c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,X),
    inference('HYPERRESOLVE',[status(thm)],[cls_mem__def_1,741]) ).

cnf(50597,plain,
    v_X != c_Message_Omsg_OCrypt(X,c_Message_Omsg_OMPair(Y,Z)),
    inference('PARAMODULATE',[status(thm)],[911,cls_conjecture_9,theory(equality)]) ).

cnf(51047,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(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_1,50597,4777,4748]) ).

cnf(51048,plain,
    $false,
    inference('REWRITE',[status(thm)],[2602,51047]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV791-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 16 04:19:18 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T04:19:18
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-16T04:19:18
% 41.85/42.08  
% 41.85/42.08  
% 41.85/42.08  #||
% 41.85/42.08  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.85/42.08  % SZS output start Refutation
% See solution above
% 41.85/42.08  ||#
% 41.85/42.08  
% 41.85/42.08  ; Summary of computation:
% 41.85/42.08  ;     81772 formulas have been input or derived (from 932 formulas).
% 41.85/42.08  ;     51048 (62%) were retained.  Of these,
% 41.85/42.08  ;          670 ( 1%) were simplified or subsumed later,
% 41.85/42.08  ;        50378 (99%) are still being kept.
% 41.85/42.08  ; 
% 41.85/42.08  ; Run time in seconds excluding printing time:
% 41.85/42.08  ;     0.117   0%   Read assertion file          (1 call)
% 41.85/42.08  ;     0.009   0%   Assert                       (606 calls)
% 41.85/42.08  ;     9.609  23%   Process new row              (74,506 calls)
% 41.85/42.08  ;     6.003  14%   Resolution                   (1,862 calls)
% 41.85/42.08  ;     0.182   0%   Paramodulation               (931 calls)
% 41.85/42.08  ;     0.000   0%   Factoring                    (11 calls)
% 41.85/42.08  ;     0.052   0%   Condensing                   (2,581 calls)
% 41.85/42.08  ;     0.686   2%   Forward subsumption          (2,581 calls)
% 41.85/42.08  ;     0.090   0%   Backward subsumption         (1,852 calls)
% 41.85/42.08  ;     0.030   0%   Clause clause subsumption    (3,684 calls)
% 41.85/42.08  ;    10.939  26%   Forward simplification       (74,506 calls)
% 41.85/42.08  ;     1.753   4%   Backward simplification      (51,012 calls)
% 41.85/42.08  ;    11.786  28%   Ordering                     (917,113 calls)
% 41.85/42.08  ;     0.000   0%   Sortal reasoning             (32 calls)
% 41.85/42.08  ;     0.001   0%   Purity testing               (1 call)
% 41.85/42.08  ;     0.344   1%   Other
% 41.85/42.08  ;    41.601        Total
% 41.85/42.08  ;    41.611        Real time
% 41.85/42.09  ; 
% 41.85/42.09  ; Term-hash-array has 126,844 terms in all.
% 41.85/42.09  ; Feature-vector-row-index has 1,767 entries (1,767 at peak, 1,852 added, 85 deleted).
% 41.85/42.09  ; Feature-vector-row-index has 27,656 nodes (27,656 at peak, 28,751 added, 1,095 deleted).
% 41.85/42.09  ;  Retrieved 5,114 possibly forward subsuming rows in 2,581 calls.
% 41.85/42.09  ;  Retrieved 419 possibly backward subsumed rows in 1,852 calls.
% 41.85/42.09  ; Path-index has 125,655 entries (125,656 at peak, 127,075 added, 1,420 deleted).
% 41.85/42.09  ; Path-index has 91,783 nodes (91,783 at peak, 92,787 added, 1,004 deleted).
% 41.85/42.09  ; Trie-index has 125,655 entries (125,656 at peak, 127,075 added, 1,420 deleted).
% 41.85/42.09  ; Trie-index has 987,810 nodes (987,815 at peak, 995,506 added, 7,696 deleted).
% 41.85/42.09  ; Retrieved 1,090,018 generalization terms in 608,212 calls.
% 41.85/42.09  ; Retrieved 62,609 instance terms in 49,451 calls.
% 41.85/42.09  ; Retrieved 5,577,022 unifiable terms in 83,410 calls.
% 41.85/42.09  ; 
% 41.85/42.09  ; The agenda of rows to process has 235 entries:
% 41.85/42.09  ;     7 with value 29             24 with value 51              60 with value 55
% 41.85/42.09  ;     3 with value 30             24 with value 52               8 with value 56
% 41.85/42.09  ;     5 with value 31             52 with value 53               8 with value 58
% 41.85/42.09  ;     2 with value 32             32 with value 54               8 with value 61
% 41.85/42.09  ;     2 with value 50
% 41.85/42.09  ; The agenda of rows to give has 49472 entries:
% 41.85/42.09  ;     1 with value (4 13)       3245 with value (4 55)           3 with value (4 98)
% 41.85/42.09  ;   304 with value (4 14)       5315 with value (4 56)           2 with value (4 99)
% 41.85/42.09  ;   341 with value (4 15)       3160 with value (4 57)           3 with value (4 100)
% 41.85/42.09  ;   837 with value (4 16)       1172 with value (4 58)           8 with value (4 101)
% 41.85/42.09  ;   930 with value (4 17)       1397 with value (4 59)           1 with value (4 102)
% 41.85/42.09  ;  1447 with value (4 18)        988 with value (4 60)           9 with value (4 103)
% 41.85/42.09  ;  1496 with value (4 19)       1090 with value (4 61)           4 with value (4 104)
% 41.85/42.09  ;  1727 with value (4 20)        450 with value (4 62)           4 with value (4 106)
% 41.85/42.09  ;  1108 with value (4 21)        442 with value (4 63)           1 with value (4 107)
% 41.85/42.09  ;  1039 with value (4 22)         97 with value (4 64)           3 with value (4 108)
% 41.85/42.09  ;   533 with value (4 23)         23 with value (4 65)           3 with value (4 109)
% 41.85/42.09  ;   461 with value (4 24)         23 with value (4 66)           5 with value (4 110)
% 41.85/42.09  ;   467 with value (4 25)         19 with value (4 67)           3 with value (4 111)
% 41.85/42.09  ;   377 with value (4 26)         36 with value (4 68)           5 with value (4 113)
% 41.85/42.09  ;   473 with value (4 27)         25 with value (4 69)           3 with value (4 114)
% 41.85/42.09  ;   497 with value (4 28)         21 with value (4 70)           2 with value (4 115)
% 41.85/42.09  ;   505 with value (4 29)         20 with value (4 71)           1 with value (4 116)
% 41.85/42.09  ;   489 with value (4 30)         16 with value (4 72)           1 with value (4 117)
% 41.85/42.09  ;   507 with value (4 31)         21 with value (4 73)           1 with value (4 120)
% 41.85/42.09  ;   566 with value (4 32)          1 with value (4 74)           1 with value (4 121)
% 41.85/42.09  ;   431 with value (4 33)         14 with value (4 75)           3 with value (4 123)
% 41.85/42.09  ;   220 with value (4 34)          6 with value (4 76)           2 with value (4 124)
% 41.85/42.09  ;   167 with value (4 35)         12 with value (4 77)           2 with value (4 125)
% 41.85/42.09  ;   108 with value (4 36)          9 with value (4 78)           1 with value (4 126)
% 41.85/42.09  ;   118 with value (4 37)         15 with value (4 79)           1 with value (4 128)
% 41.85/42.09  ;   146 with value (4 38)         12 with value (4 80)           1 with value (4 129)
% 41.85/42.09  ;   288 with value (4 39)          8 with value (4 81)           1 with value (4 130)
% 41.85/42.09  ;   109 with value (4 40)          7 with value (4 82)           1 with value (4 131)
% 41.85/42.09  ;    48 with value (4 41)          3 with value (4 83)           1 with value (4 136)
% 41.85/42.09  ;    89 with value (4 42)          4 with value (4 84)           1 with value (4 137)
% 41.85/42.09  ;    55 with value (4 43)          9 with value (4 85)           2 with value (4 141)
% 41.85/42.09  ;    39 with value (4 44)          6 with value (4 86)           1 with value (4 142)
% 41.85/42.09  ;    38 with value (4 45)          3 with value (4 87)           2 with value (4 143)
% 41.85/42.09  ;   178 with value (4 46)         11 with value (4 88)           3 with value (4 145)
% 41.85/42.09  ;   283 with value (4 47)          1 with value (4 89)           1 with value (4 150)
% 41.85/42.09  ;   243 with value (4 48)          7 with value (4 90)           2 with value (4 154)
% 41.85/42.09  ;   455 with value (4 49)          3 with value (4 91)           2 with value (4 155)
% 41.85/42.09  ;  1363 with value (4 50)          4 with value (4 92)           1 with value (4 156)
% 41.85/42.09  ;  2137 with value (4 51)          7 with value (4 93)           1 with value (4 161)
% 41.85/42.09  ;  2950 with value (4 52)          4 with value (4 95)           1 with value (4 166)
% 41.85/42.09  ;  3900 with value (4 53)          2 with value (4 96)           1 with value (4 172)
% 41.85/42.09  ;  4195 with value (4 54)          4 with value (4 97)           1 with value (4 185)
% 41.85/42.09  Evaluation took:
% 41.85/42.09    41.618 seconds of real time
% 41.85/42.09    39.098965 seconds of user run time
% 41.85/42.09    2.51146 seconds of system run time
% 41.85/42.09    [Run times include 10.313 seconds GC run time.]
% 41.85/42.09    0 calls to %EVAL
% 41.85/42.09    0 page faults and
% 41.85/42.09    2,005,186,968 bytes consed.
% 41.85/42.09  :PROOF-FOUND
% 41.85/42.09  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T04:20:00
% 41.85/42.09  :PROOF-FOUND
% 41.85/42.09  * 
%------------------------------------------------------------------------------