TSTP Solution File: SWV793-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV793-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 21:36:03 EDT 2022

% Result   : Unsatisfiable 6.33s 6.51s
% Output   : Refutation 6.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   15 (  12 unt;   0 nHn;  13 RR)
%            Number of literals    :   19 (   4 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  13 con; 0-5 aty)
%            Number of variables   :   13 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_subset__iff_0,axiom,
    ( c_in(X,Y,Z)
    | ~ c_in(X,U,Z)
    | ~ c_lessequals(U,Y,tc_fun(Z,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).

cnf(cls_parts__spies__takeWhile__mono_0,axiom,
    c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X,Y,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,Y)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__spies__takeWhile__mono_0) ).

cnf(cls_spies__evs__rev_0,axiom,
    c_Event_Oknows(c_Message_Oagent_OSpy,X) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X,tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__evs__rev_0) ).

cnf(cls_usedI_0,axiom,
    ( c_in(X,c_Event_Oused(Y),tc_Message_Omsg)
    | ~ c_in(X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,Y)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).

cnf(cls_parts_OBody_0,axiom,
    ( c_in(X,c_Message_Oparts(Y),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(Z,X),c_Message_Oparts(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_7,negated_conjecture,
    v_B = v_Ba,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_conjecture_8,negated_conjecture,
    v_A = v_Aa,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(cls_conjecture_9,negated_conjecture,
    v_K = v_Ka,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(cls_conjecture_11,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).

cnf(528,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[cls_conjecture_11,cls_conjecture_8,cls_conjecture_7,cls_conjecture_9,theory(equality)]) ).

cnf(1389,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_usedI_0,cls_conjecture_3]) ).

cnf(3769,plain,
    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_evs4)),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_subset__iff_0,528,cls_parts__spies__takeWhile__mono_0]),cls_spies__evs__rev_0,theory(equality)]) ).

cnf(9871,plain,
    ~ c_in(c_Message_Omsg_OCrypt(X,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_parts_OBody_0,1389]) ).

cnf(9872,plain,
    $false,
    inference('REWRITE',[status(thm)],[3769,9871]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV793-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 16:53:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T16:53:52
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-14T16:53:52
% 6.33/6.51  
% 6.33/6.51  
% 6.33/6.51  #||
% 6.33/6.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.33/6.51  % SZS output start Refutation
% See solution above
% 6.33/6.51  ||#
% 6.33/6.51  
% 6.33/6.51  ; Summary of computation:
% 6.33/6.51  ;     22703 formulas have been input or derived (from 640 formulas).
% 6.33/6.51  ;      9872 (43%) were retained.  Of these,
% 6.33/6.51  ;          410 ( 4%) were simplified or subsumed later,
% 6.33/6.51  ;         9462 (96%) are still being kept.
% 6.33/6.51  ; 
% 6.33/6.51  ; Run time in seconds excluding printing time:
% 6.33/6.51  ;     0.135   2%   Read assertion file          (1 call)
% 6.33/6.51  ;     0.011   0%   Assert                       (624 calls)
% 6.33/6.51  ;     1.298  22%   Process new row              (20,368 calls)
% 6.33/6.51  ;     0.978  16%   Resolution                   (1,278 calls)
% 6.33/6.51  ;     0.140   2%   Paramodulation               (639 calls)
% 6.33/6.51  ;     0.000   0%   Factoring                    (13 calls)
% 6.33/6.51  ;     0.035   1%   Condensing                   (2,234 calls)
% 6.33/6.51  ;     0.711  12%   Forward subsumption          (2,234 calls)
% 6.33/6.51  ;     0.082   1%   Backward subsumption         (1,553 calls)
% 6.33/6.51  ;     0.018   0%   Clause clause subsumption    (3,525 calls)
% 6.33/6.51  ;     1.388  23%   Forward simplification       (20,350 calls)
% 6.33/6.51  ;     0.168   3%   Backward simplification      (9,827 calls)
% 6.33/6.51  ;     0.962  16%   Ordering                     (120,176 calls)
% 6.33/6.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 6.33/6.51  ;     0.001   0%   Purity testing               (1 call)
% 6.33/6.51  ;     0.107   2%   Other
% 6.33/6.51  ;     6.034        Total
% 6.33/6.51  ;     6.043        Real time
% 6.33/6.51  ; 
% 6.33/6.51  ; Term-hash-array has 28,160 terms in all.
% 6.33/6.51  ; Feature-vector-row-index has 1,479 entries (1,479 at peak, 1,553 added, 74 deleted).
% 6.33/6.51  ; Feature-vector-row-index has 24,704 nodes (24,704 at peak, 25,677 added, 973 deleted).
% 6.33/6.51  ;  Retrieved 4,602 possibly forward subsuming rows in 2,234 calls.
% 6.33/6.51  ;  Retrieved 445 possibly backward subsumed rows in 1,553 calls.
% 6.33/6.51  ; Path-index has 27,412 entries (27,413 at peak, 28,324 added, 912 deleted).
% 6.33/6.51  ; Path-index has 48,876 nodes (48,876 at peak, 49,879 added, 1,003 deleted).
% 6.33/6.51  ; Trie-index has 27,412 entries (27,413 at peak, 28,324 added, 912 deleted).
% 6.33/6.51  ; Trie-index has 187,933 nodes (187,935 at peak, 192,832 added, 4,899 deleted).
% 6.33/6.51  ; Retrieved 156,565 generalization terms in 119,485 calls.
% 6.33/6.51  ; Retrieved 10,810 instance terms in 8,547 calls.
% 6.33/6.51  ; Retrieved 1,181,702 unifiable terms in 24,835 calls.
% 6.33/6.51  ; 
% 6.33/6.51  ; The agenda of rows to process has 36 entries:
% 6.33/6.51  ;     6 with value 15              7 with value 21               4 with value 28
% 6.33/6.51  ;     3 with value 17              6 with value 22               2 with value 29
% 6.33/6.51  ;     1 with value 18              2 with value 23               2 with value 31
% 6.33/6.51  ;     1 with value 19              2 with value 27
% 6.33/6.51  ; The agenda of rows to give has 8843 entries:
% 6.33/6.51  ;     1 with value (4 11)        181 with value (4 56)           3 with value (4 101)
% 6.33/6.51  ;    31 with value (4 12)        231 with value (4 57)           3 with value (4 102)
% 6.33/6.51  ;    98 with value (4 13)         34 with value (4 58)           9 with value (4 103)
% 6.33/6.51  ;   251 with value (4 14)         14 with value (4 59)           5 with value (4 104)
% 6.33/6.51  ;   208 with value (4 15)         25 with value (4 60)           5 with value (4 105)
% 6.33/6.51  ;   425 with value (4 16)         29 with value (4 61)           3 with value (4 106)
% 6.33/6.51  ;   267 with value (4 17)         17 with value (4 62)           2 with value (4 107)
% 6.33/6.51  ;   582 with value (4 18)         13 with value (4 63)           1 with value (4 108)
% 6.33/6.51  ;   263 with value (4 19)         18 with value (4 64)           2 with value (4 109)
% 6.33/6.51  ;   461 with value (4 20)         19 with value (4 65)           5 with value (4 110)
% 6.33/6.51  ;   245 with value (4 21)         25 with value (4 66)           2 with value (4 111)
% 6.33/6.51  ;   249 with value (4 22)         14 with value (4 67)           3 with value (4 112)
% 6.33/6.51  ;   135 with value (4 23)         17 with value (4 68)           2 with value (4 113)
% 6.33/6.51  ;   152 with value (4 24)         12 with value (4 69)           5 with value (4 114)
% 6.33/6.51  ;   142 with value (4 25)         11 with value (4 70)           2 with value (4 115)
% 6.33/6.51  ;   151 with value (4 26)         22 with value (4 71)           7 with value (4 116)
% 6.33/6.51  ;   244 with value (4 27)         20 with value (4 72)           1 with value (4 117)
% 6.33/6.51  ;   236 with value (4 28)         23 with value (4 73)           3 with value (4 118)
% 6.33/6.51  ;   195 with value (4 29)          9 with value (4 74)           1 with value (4 120)
% 6.33/6.51  ;   179 with value (4 30)          9 with value (4 75)           2 with value (4 122)
% 6.33/6.51  ;   223 with value (4 31)          5 with value (4 76)           2 with value (4 125)
% 6.33/6.51  ;   146 with value (4 32)         13 with value (4 77)           4 with value (4 126)
% 6.33/6.51  ;    73 with value (4 33)         11 with value (4 78)           3 with value (4 128)
% 6.33/6.51  ;    75 with value (4 34)          6 with value (4 79)           1 with value (4 129)
% 6.33/6.51  ;   110 with value (4 35)          6 with value (4 80)           1 with value (4 132)
% 6.33/6.51  ;    61 with value (4 36)         10 with value (4 81)           1 with value (4 133)
% 6.33/6.51  ;    68 with value (4 37)         10 with value (4 82)           1 with value (4 134)
% 6.33/6.51  ;    53 with value (4 38)          5 with value (4 83)           1 with value (4 139)
% 6.33/6.51  ;    84 with value (4 39)          3 with value (4 84)           1 with value (4 141)
% 6.33/6.51  ;    47 with value (4 40)          4 with value (4 85)           1 with value (4 142)
% 6.33/6.51  ;    32 with value (4 41)          5 with value (4 86)           1 with value (4 143)
% 6.33/6.51  ;    49 with value (4 42)         12 with value (4 87)           2 with value (4 145)
% 6.33/6.51  ;    37 with value (4 43)         11 with value (4 88)           1 with value (4 146)
% 6.33/6.51  ;    34 with value (4 44)          2 with value (4 89)           2 with value (4 147)
% 6.33/6.51  ;    25 with value (4 45)          5 with value (4 90)           1 with value (4 148)
% 6.33/6.51  ;    27 with value (4 46)          2 with value (4 91)           1 with value (4 152)
% 6.33/6.51  ;    97 with value (4 47)          6 with value (4 92)           1 with value (4 155)
% 6.33/6.51  ;   180 with value (4 48)          4 with value (4 93)           1 with value (4 156)
% 6.33/6.51  ;   156 with value (4 49)         10 with value (4 94)           1 with value (4 157)
% 6.33/6.51  ;   294 with value (4 50)          9 with value (4 95)           1 with value (4 158)
% 6.33/6.51  ;   330 with value (4 51)          2 with value (4 96)           1 with value (4 159)
% 6.33/6.51  ;   596 with value (4 52)          4 with value (4 97)           1 with value (4 169)
% 6.33/6.51  ;   274 with value (4 53)          2 with value (4 98)           1 with value (4 174)
% 6.33/6.51  ;   164 with value (4 54)          3 with value (4 99)           1 with value (4 187)
% 6.33/6.51  ;    97 with value (4 55)          5 with value (4 100)
% 6.33/6.51  Evaluation took:
% 6.33/6.51    6.047 seconds of real time
% 6.33/6.51    5.625795 seconds of user run time
% 6.33/6.51    0.414098 seconds of system run time
% 6.33/6.51    [Run times include 1.051 seconds GC run time.]
% 6.33/6.51    0 calls to %EVAL
% 6.33/6.51    0 page faults and
% 6.33/6.51    409,615,072 bytes consed.
% 6.33/6.51  :PROOF-FOUND
% 6.33/6.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T16:53:58
% 6.33/6.51  :PROOF-FOUND
% 6.33/6.51  * 
%------------------------------------------------------------------------------