TSTP Solution File: SWV763-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV763-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 21:35:56 EDT 2022

% Result   : Unsatisfiable 1.88s 2.07s
% Output   : Refutation 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;  14 RR)
%            Number of literals    :   19 (   3 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  11 con; 0-3 aty)
%            Number of variables   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_invKey__K_0,axiom,
    ( c_Message_OinvKey(X) = X
    | ~ hBOOL(c_in(X,c_Message_OsymKeys,tc_nat)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).

cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
    ( hBOOL(c_in(c_Message_OinvKey(X),c_Message_OkeysFor(Y),tc_nat))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X,Z),Y,tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).

cnf(cls_new__keys__not__used_0,axiom,
    ( ~ hBOOL(c_in(X,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,Y))),tc_nat))
    | ~ hBOOL(c_in(Y,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(X,c_Message_OsymKeys,tc_nat))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X),c_Event_Oused(Y),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

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

cnf(cls_conjecture_10,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).

cnf(463,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
    inference('REWRITE',[status(thm)],[cls_conjecture_10,cls_conjecture_8,theory(equality)]) ).

cnf(496,plain,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_8,theory(equality)]) ).

cnf(497,plain,
    hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
    inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_conjecture_8,theory(equality)]) ).

cnf(631,plain,
    c_Message_OinvKey(v_K) = v_K,
    inference('HYPERRESOLVE',[status(thm)],[cls_invKey__K_0,497]) ).

cnf(1574,plain,
    hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Crypt__imp__invKey__keysFor_0,463]),631,theory(equality)]) ).

cnf(4017,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_new__keys__not__used_0,cls_conjecture_0,497,496]),1574]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV763-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.35  % Computer : n013.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Wed Jun 15 22:12:59 EDT 2022
% 0.12/0.35  % 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 2022-06-15T22:12:59
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-15T22:12:59
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66  WARNING:
% 0.47/0.66     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.88/2.07  
% 1.88/2.07  
% 1.88/2.07  #||
% 1.88/2.07  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.88/2.07  % SZS output start Refutation
% See solution above
% 1.88/2.07  ||#
% 1.88/2.07  
% 1.88/2.07  ; Summary of computation:
% 1.88/2.07  ;      8414 formulas have been input or derived (from 434 formulas).
% 1.88/2.07  ;      4017 (48%) were retained.  Of these,
% 1.88/2.07  ;          101 ( 3%) were simplified or subsumed later,
% 1.88/2.07  ;         3916 (97%) are still being kept.
% 1.88/2.07  ; 
% 1.88/2.07  ; Run time in seconds excluding printing time:
% 1.88/2.07  ;     0.141   9%   Read assertion file          (1 call)
% 1.88/2.07  ;     0.018   1%   Assert                       (602 calls)
% 1.88/2.07  ;     0.428  27%   Process new row              (7,770 calls)
% 1.88/2.07  ;     0.186  12%   Resolution                   (866 calls)
% 1.88/2.07  ;     0.117   7%   Paramodulation               (433 calls)
% 1.88/2.07  ;     0.000   0%   Factoring                    (10 calls)
% 1.88/2.07  ;     0.034   2%   Condensing                   (1,748 calls)
% 1.88/2.07  ;     0.137   9%   Forward subsumption          (1,748 calls)
% 1.88/2.07  ;     0.072   5%   Backward subsumption         (1,391 calls)
% 1.88/2.07  ;     0.012   1%   Clause clause subsumption    (3,167 calls)
% 1.88/2.07  ;     0.268  17%   Forward simplification       (7,730 calls)
% 1.88/2.07  ;     0.044   3%   Backward simplification      (4,006 calls)
% 1.88/2.07  ;     0.070   4%   Ordering                     (12,615 calls)
% 1.88/2.07  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.88/2.07  ;     0.001   0%   Purity testing               (1 call)
% 1.88/2.07  ;     0.060   4%   Other
% 1.88/2.07  ;     1.589        Total
% 1.88/2.07  ;     1.594        Real time
% 1.88/2.07  ; 
% 1.88/2.08  ; Term-hash-array has 11,530 terms in all.
% 1.88/2.08  ; Feature-vector-row-index has 1,368 entries (1,368 at peak, 1,391 added, 23 deleted).
% 1.88/2.08  ; Feature-vector-row-index has 15,426 nodes (15,426 at peak, 15,774 added, 348 deleted).
% 1.88/2.08  ;  Retrieved 3,555 possibly forward subsuming rows in 1,748 calls.
% 1.88/2.08  ;  Retrieved 564 possibly backward subsumed rows in 1,391 calls.
% 1.88/2.08  ; Path-index has 11,368 entries (11,368 at peak, 11,619 added, 251 deleted).
% 1.88/2.08  ; Path-index has 28,247 nodes (28,247 at peak, 28,535 added, 288 deleted).
% 1.88/2.08  ; Trie-index has 11,368 entries (11,368 at peak, 11,619 added, 251 deleted).
% 1.88/2.08  ; Trie-index has 64,677 nodes (64,677 at peak, 65,760 added, 1,083 deleted).
% 1.88/2.08  ; Retrieved 28,896 generalization terms in 39,455 calls.
% 1.88/2.08  ; Retrieved 3,930 instance terms in 2,845 calls.
% 1.88/2.08  ; Retrieved 202,869 unifiable terms in 5,632 calls.
% 1.88/2.08  ; 
% 1.88/2.08  ; The agenda of rows to process has 6 entries:
% 1.88/2.08  ;     1 with value 38              1 with value 55               1 with value 66
% 1.88/2.08  ;     1 with value 44              2 with value 64
% 1.88/2.08  ; The agenda of input rows to give has 38 entries:
% 1.88/2.08  ;     2 with value 42              1 with value 64               3 with value 84
% 1.88/2.08  ;     3 with value 45              1 with value 65               1 with value 85
% 1.88/2.08  ;     1 with value 48              1 with value 68               1 with value 87
% 1.88/2.08  ;     1 with value 50              1 with value 69               1 with value 89
% 1.88/2.08  ;     1 with value 52              1 with value 70               1 with value 90
% 1.88/2.08  ;     1 with value 54              1 with value 72               1 with value 91
% 1.88/2.08  ;     1 with value 55              5 with value 75               1 with value 96
% 1.88/2.08  ;     1 with value 57              1 with value 76               1 with value 103
% 1.88/2.08  ;     1 with value 60              1 with value 77               1 with value 108
% 1.88/2.08  ;     1 with value 61              1 with value 78
% 1.88/2.08  ; The agenda of rows to give has 3448 entries:
% 1.88/2.08  ;     4 with value (4 6)          79 with value (4 28)          27 with value (4 50)
% 1.88/2.08  ;    24 with value (4 7)         141 with value (4 29)          15 with value (4 51)
% 1.88/2.08  ;     9 with value (4 8)         103 with value (4 30)          18 with value (4 52)
% 1.88/2.08  ;     7 with value (4 9)          85 with value (4 31)           9 with value (4 53)
% 1.88/2.08  ;    31 with value (4 10)         88 with value (4 32)          15 with value (4 54)
% 1.88/2.08  ;    21 with value (4 11)         82 with value (4 33)          14 with value (4 55)
% 1.88/2.08  ;    58 with value (4 12)         87 with value (4 34)          12 with value (4 56)
% 1.88/2.08  ;    69 with value (4 13)         91 with value (4 35)           6 with value (4 57)
% 1.88/2.08  ;   134 with value (4 14)         63 with value (4 36)           6 with value (4 58)
% 1.88/2.08  ;   128 with value (4 15)         74 with value (4 37)           7 with value (4 59)
% 1.88/2.08  ;   142 with value (4 16)         77 with value (4 38)           1 with value (4 60)
% 1.88/2.08  ;   138 with value (4 17)         69 with value (4 39)           6 with value (4 61)
% 1.88/2.08  ;   107 with value (4 18)         62 with value (4 40)           2 with value (4 62)
% 1.88/2.08  ;   106 with value (4 19)         37 with value (4 41)           3 with value (4 63)
% 1.88/2.08  ;   111 with value (4 20)         58 with value (4 42)           5 with value (4 64)
% 1.88/2.08  ;   101 with value (4 21)         44 with value (4 43)           4 with value (4 65)
% 1.88/2.08  ;   102 with value (4 22)         45 with value (4 44)           2 with value (4 66)
% 1.88/2.08  ;   135 with value (4 23)         33 with value (4 45)           1 with value (4 68)
% 1.88/2.08  ;   103 with value (4 24)         40 with value (4 46)           1 with value (4 69)
% 1.88/2.08  ;   123 with value (4 25)         27 with value (4 47)           1 with value (4 78)
% 1.88/2.08  ;    96 with value (4 26)         21 with value (4 48)           2 with value (4 82)
% 1.88/2.08  ;   117 with value (4 27)         19 with value (4 49)
% 1.88/2.08  Evaluation took:
% 1.88/2.08    1.597 seconds of real time
% 1.88/2.08    1.483299 seconds of user run time
% 1.88/2.08    0.109569 seconds of system run time
% 1.88/2.08    [Run times include 0.195 seconds GC run time.]
% 1.88/2.08    0 calls to %EVAL
% 1.88/2.08    0 page faults and
% 1.88/2.08    111,346,376 bytes consed.
% 1.88/2.08  :PROOF-FOUND
% 1.88/2.08  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T22:13:00
% 1.88/2.08  :PROOF-FOUND
% 1.88/2.08  * 
%------------------------------------------------------------------------------