TSTP Solution File: SWV756-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV756-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 21:35:55 EDT 2022

% Result   : Unsatisfiable 1.46s 1.67s
% Output   : Refutation 1.46s
% 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;  12 con; 0-3 aty)
%            Number of variables   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_invKey__K_0,axiom,
    ( hAPP(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(hAPP(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(525,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(559,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(560,plain,
    hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
    inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_conjecture_8,theory(equality)]) ).

cnf(1065,plain,
    hAPP(c_Message_OinvKey,v_K) = v_K,
    inference('HYPERRESOLVE',[status(thm)],[cls_invKey__K_0,560]) ).

cnf(1700,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_0,525]),1065,theory(equality)]) ).

cnf(3339,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_new__keys__not__used_0,cls_conjecture_0,560,559]),1700]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV756-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 17:13:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-15T17:13:11
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-15T17:13:11
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62  WARNING:
% 0.43/0.62     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.46/1.67  
% 1.46/1.67  
% 1.46/1.67  #||
% 1.46/1.67  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.67  % SZS output start Refutation
% See solution above
% 1.46/1.67  ||#
% 1.46/1.67  
% 1.46/1.67  ; Summary of computation:
% 1.46/1.67  ;      7720 formulas have been input or derived (from 389 formulas).
% 1.46/1.67  ;      3339 (43%) were retained.  Of these,
% 1.46/1.67  ;          239 ( 7%) were simplified or subsumed later,
% 1.46/1.67  ;         3100 (93%) are still being kept.
% 1.46/1.67  ; 
% 1.46/1.67  ; Run time in seconds excluding printing time:
% 1.46/1.67  ;     0.119  10%   Read assertion file          (1 call)
% 1.46/1.67  ;     0.010   1%   Assert                       (590 calls)
% 1.46/1.67  ;     0.308  26%   Process new row              (6,958 calls)
% 1.46/1.67  ;     0.111   9%   Resolution                   (776 calls)
% 1.46/1.67  ;     0.030   3%   Paramodulation               (388 calls)
% 1.46/1.67  ;     0.000   0%   Factoring                    (3 calls)
% 1.46/1.67  ;     0.014   1%   Condensing                   (962 calls)
% 1.46/1.67  ;     0.164  14%   Forward subsumption          (962 calls)
% 1.46/1.67  ;     0.029   2%   Backward subsumption         (672 calls)
% 1.46/1.67  ;     0.005   0%   Clause clause subsumption    (941 calls)
% 1.46/1.67  ;     0.222  19%   Forward simplification       (6,931 calls)
% 1.46/1.67  ;     0.055   5%   Backward simplification      (3,277 calls)
% 1.46/1.67  ;     0.078   7%   Ordering                     (13,749 calls)
% 1.46/1.67  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.46/1.67  ;     0.001   0%   Purity testing               (1 call)
% 1.46/1.67  ;     0.049   4%   Other
% 1.46/1.67  ;     1.195        Total
% 1.46/1.67  ;     1.197        Real time
% 1.46/1.67  ; 
% 1.46/1.67  ; Term-hash-array has 9,029 terms in all.
% 1.46/1.67  ; Feature-vector-row-index has 601 entries (601 at peak, 672 added, 71 deleted).
% 1.46/1.67  ; Feature-vector-row-index has 8,768 nodes (8,768 at peak, 9,998 added, 1,230 deleted).
% 1.46/1.67  ;  Retrieved 1,067 possibly forward subsuming rows in 962 calls.
% 1.46/1.67  ;  Retrieved 234 possibly backward subsumed rows in 672 calls.
% 1.46/1.67  ; Path-index has 8,574 entries (8,574 at peak, 9,251 added, 677 deleted).
% 1.46/1.67  ; Path-index has 22,882 nodes (22,882 at peak, 24,205 added, 1,323 deleted).
% 1.46/1.67  ; Trie-index has 8,574 entries (8,574 at peak, 9,251 added, 677 deleted).
% 1.46/1.67  ; Trie-index has 55,778 nodes (55,778 at peak, 60,152 added, 4,374 deleted).
% 1.46/1.67  ; Retrieved 27,587 generalization terms in 32,967 calls.
% 1.46/1.67  ; Retrieved 3,867 instance terms in 2,740 calls.
% 1.46/1.67  ; Retrieved 131,982 unifiable terms in 5,287 calls.
% 1.46/1.67  ; 
% 1.46/1.67  ; The agenda of rows to process has 7 entries:
% 1.46/1.67  ;     1 with value 38              1 with value 55               2 with value 71
% 1.46/1.67  ;     1 with value 44              1 with value 69               1 with value 73
% 1.46/1.67  ; The agenda of input rows to give has 60 entries:
% 1.46/1.67  ;     1 with value 41              2 with value 56               5 with value 75
% 1.46/1.67  ;     3 with value 42              2 with value 58               1 with value 76
% 1.46/1.67  ;     1 with value 43              2 with value 59               1 with value 77
% 1.46/1.67  ;     2 with value 45              1 with value 60               1 with value 78
% 1.46/1.67  ;     1 with value 47              3 with value 61               3 with value 84
% 1.46/1.67  ;     3 with value 48              1 with value 63               1 with value 85
% 1.46/1.67  ;     3 with value 49              1 with value 64               1 with value 89
% 1.46/1.67  ;     2 with value 50              1 with value 65               1 with value 90
% 1.46/1.67  ;     1 with value 51              1 with value 66               2 with value 91
% 1.46/1.67  ;     1 with value 52              2 with value 69               2 with value 96
% 1.46/1.67  ;     1 with value 53              1 with value 70               1 with value 99
% 1.46/1.67  ;     1 with value 54              1 with value 72               1 with value 103
% 1.46/1.67  ;     1 with value 55              1 with value 74
% 1.46/1.67  ; The agenda of rows to give has 2654 entries:
% 1.46/1.67  ;     7 with value (4 6)          94 with value (4 27)          22 with value (4 47)
% 1.46/1.67  ;    24 with value (4 7)         102 with value (4 28)          25 with value (4 48)
% 1.46/1.67  ;    19 with value (4 8)          93 with value (4 29)          29 with value (4 49)
% 1.46/1.67  ;     5 with value (4 9)          76 with value (4 30)           7 with value (4 50)
% 1.46/1.67  ;    50 with value (4 10)         48 with value (4 31)          13 with value (4 51)
% 1.46/1.67  ;    23 with value (4 11)         50 with value (4 32)          21 with value (4 52)
% 1.46/1.67  ;    78 with value (4 12)         49 with value (4 33)          19 with value (4 53)
% 1.46/1.67  ;    61 with value (4 13)         36 with value (4 34)           5 with value (4 54)
% 1.46/1.67  ;   144 with value (4 14)         49 with value (4 35)          16 with value (4 55)
% 1.46/1.67  ;   116 with value (4 15)         39 with value (4 36)           4 with value (4 56)
% 1.46/1.67  ;   124 with value (4 16)         40 with value (4 37)           1 with value (4 57)
% 1.46/1.67  ;   112 with value (4 17)         28 with value (4 38)           1 with value (4 58)
% 1.46/1.67  ;    97 with value (4 18)         42 with value (4 39)           1 with value (4 60)
% 1.46/1.67  ;    85 with value (4 19)         29 with value (4 40)          12 with value (4 61)
% 1.46/1.67  ;   105 with value (4 20)         20 with value (4 41)           1 with value (4 62)
% 1.46/1.67  ;    92 with value (4 21)         35 with value (4 42)           1 with value (4 64)
% 1.46/1.67  ;    93 with value (4 22)         27 with value (4 43)           1 with value (4 66)
% 1.46/1.67  ;   106 with value (4 23)         17 with value (4 44)           1 with value (4 68)
% 1.46/1.67  ;    76 with value (4 24)         10 with value (4 45)           1 with value (4 71)
% 1.46/1.67  ;    83 with value (4 25)          7 with value (4 46)           8 with value (4 72)
% 1.46/1.67  ;    74 with value (4 26)
% 1.46/1.67  Evaluation took:
% 1.46/1.67    1.198 seconds of real time
% 1.46/1.67    1.09473 seconds of user run time
% 1.46/1.67    0.102596 seconds of system run time
% 1.46/1.67    [Run times include 0.144 seconds GC run time.]
% 1.46/1.67    0 calls to %EVAL
% 1.46/1.67    0 page faults and
% 1.46/1.67    91,911,256 bytes consed.
% 1.46/1.67  :PROOF-FOUND
% 1.46/1.67  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T17:13:12
% 1.46/1.67  :PROOF-FOUND
% 1.46/1.67  * 
%------------------------------------------------------------------------------