TSTP Solution File: SWV768-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV768-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 21:35:57 EDT 2022

% Result   : Unsatisfiable 1.38s 1.64s
% 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    :   22 (  22 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_1,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_1) ).

cnf(cls_conjecture_2,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_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

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

cnf(cls_conjecture_13,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_13) ).

cnf(443,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_13,cls_conjecture_9,theory(equality)]) ).

cnf(474,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_2,cls_conjecture_9,theory(equality)]) ).

cnf(475,plain,
    hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
    inference('REWRITE',[status(thm)],[cls_conjecture_3,cls_conjecture_9,theory(equality)]) ).

cnf(640,plain,
    c_Message_OinvKey(v_K) = v_K,
    inference('HYPERRESOLVE',[status(thm)],[cls_invKey__K_0,475]) ).

cnf(1545,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_0,443]),640,theory(equality)]) ).

cnf(3427,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_new__keys__not__used_0,cls_conjecture_1,475,474]),1545]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV768-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.31  % Computer : n032.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 600
% 0.12/0.31  % DateTime : Wed Jun 15 04:19:58 EDT 2022
% 0.12/0.31  % CPUTime  : 
% 0.16/0.41  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41  * 
% 0.16/0.41  * 
% 0.16/0.42  #<PACKAGE "SNARK-USER">
% 0.16/0.42  * 
% 0.16/0.42  SNARK-TPTP-OPTIONS
% 0.16/0.42  * 
% 0.16/0.42  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.42   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.42   (USE-FACTORING :POS)
% 0.16/0.42   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.42   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.42   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.42   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.42   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.42   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.42   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.42   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.42   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.42   (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.42  * 
% 0.16/0.42  "."
% 0.16/0.42  * 
% 0.16/0.42  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T04:19:58
% 0.16/0.42  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-15T04:19:58
% 0.16/0.52  WARNING:
% 0.16/0.52     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.16/0.52  WARNING:
% 0.16/0.52     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.38/1.64  
% 1.38/1.64  
% 1.38/1.64  #||
% 1.38/1.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.64  % SZS output start Refutation
% See solution above
% 1.46/1.64  ||#
% 1.46/1.64  
% 1.46/1.64  ; Summary of computation:
% 1.46/1.64  ;      7643 formulas have been input or derived (from 408 formulas).
% 1.46/1.64  ;      3427 (45%) were retained.  Of these,
% 1.46/1.64  ;           93 ( 3%) were simplified or subsumed later,
% 1.46/1.64  ;         3334 (97%) are still being kept.
% 1.46/1.64  ; 
% 1.46/1.64  ; Run time in seconds excluding printing time:
% 1.46/1.64  ;     0.081   7%   Read assertion file          (1 call)
% 1.46/1.64  ;     0.008   1%   Assert                       (578 calls)
% 1.46/1.64  ;     0.400  33%   Process new row              (7,008 calls)
% 1.46/1.64  ;     0.121  10%   Resolution                   (814 calls)
% 1.46/1.64  ;     0.036   3%   Paramodulation               (407 calls)
% 1.46/1.64  ;     0.000   0%   Factoring                    (7 calls)
% 1.46/1.64  ;     0.018   1%   Condensing                   (1,223 calls)
% 1.46/1.64  ;     0.091   7%   Forward subsumption          (1,223 calls)
% 1.46/1.64  ;     0.114   9%   Backward subsumption         (901 calls)
% 1.46/1.64  ;     0.004   0%   Clause clause subsumption    (1,408 calls)
% 1.46/1.64  ;     0.205  17%   Forward simplification       (6,968 calls)
% 1.46/1.64  ;     0.043   4%   Backward simplification      (3,416 calls)
% 1.46/1.64  ;     0.054   4%   Ordering                     (10,730 calls)
% 1.46/1.64  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.46/1.64  ;     0.001   0%   Purity testing               (1 call)
% 1.46/1.64  ;     0.041   3%   Other
% 1.46/1.64  ;     1.217        Total
% 1.46/1.64  ;     1.219        Real time
% 1.46/1.64  ; 
% 1.46/1.64  ; Term-hash-array has 9,814 terms in all.
% 1.46/1.64  ; Feature-vector-row-index has 883 entries (883 at peak, 901 added, 18 deleted).
% 1.46/1.64  ; Feature-vector-row-index has 11,430 nodes (11,430 at peak, 11,710 added, 280 deleted).
% 1.46/1.64  ;  Retrieved 1,638 possibly forward subsuming rows in 1,223 calls.
% 1.46/1.64  ;  Retrieved 253 possibly backward subsumed rows in 901 calls.
% 1.46/1.64  ; Path-index has 9,654 entries (9,654 at peak, 9,883 added, 229 deleted).
% 1.46/1.64  ; Path-index has 23,432 nodes (23,432 at peak, 23,684 added, 252 deleted).
% 1.46/1.64  ; Trie-index has 9,654 entries (9,654 at peak, 9,883 added, 229 deleted).
% 1.46/1.64  ; Trie-index has 53,725 nodes (53,725 at peak, 54,690 added, 965 deleted).
% 1.46/1.64  ; Retrieved 25,703 generalization terms in 33,128 calls.
% 1.46/1.64  ; Retrieved 3,710 instance terms in 2,705 calls.
% 1.46/1.64  ; Retrieved 150,666 unifiable terms in 5,249 calls.
% 1.46/1.64  ; 
% 1.46/1.64  ; The agenda of rows to process has 6 entries:
% 1.46/1.64  ;     1 with value 38              1 with value 55               1 with value 66
% 1.46/1.64  ;     1 with value 44              2 with value 64
% 1.46/1.64  ; The agenda of input rows to give has 40 entries:
% 1.46/1.64  ;     3 with value 42              1 with value 64               3 with value 84
% 1.46/1.64  ;     3 with value 45              1 with value 65               1 with value 85
% 1.46/1.64  ;     1 with value 48              1 with value 68               1 with value 86
% 1.46/1.64  ;     1 with value 50              1 with value 69               1 with value 87
% 1.46/1.64  ;     1 with value 52              1 with value 70               1 with value 89
% 1.46/1.64  ;     1 with value 54              1 with value 72               1 with value 90
% 1.46/1.64  ;     1 with value 55              5 with value 75               1 with value 91
% 1.46/1.64  ;     1 with value 57              1 with value 76               1 with value 96
% 1.46/1.64  ;     1 with value 60              1 with value 77               1 with value 103
% 1.46/1.64  ;     1 with value 61              1 with value 78               1 with value 108
% 1.46/1.64  ; The agenda of rows to give has 2891 entries:
% 1.46/1.64  ;     4 with value (4 6)          93 with value (4 26)           8 with value (4 46)
% 1.46/1.64  ;    22 with value (4 7)         106 with value (4 27)           9 with value (4 47)
% 1.46/1.64  ;     7 with value (4 8)          82 with value (4 28)          10 with value (4 48)
% 1.46/1.64  ;     7 with value (4 9)         111 with value (4 29)           2 with value (4 49)
% 1.46/1.64  ;    31 with value (4 10)         90 with value (4 30)          12 with value (4 50)
% 1.46/1.64  ;    20 with value (4 11)         75 with value (4 31)           8 with value (4 51)
% 1.46/1.64  ;    57 with value (4 12)         64 with value (4 32)           8 with value (4 52)
% 1.46/1.64  ;    67 with value (4 13)         66 with value (4 33)           5 with value (4 53)
% 1.46/1.64  ;   133 with value (4 14)         78 with value (4 34)           7 with value (4 54)
% 1.46/1.64  ;   126 with value (4 15)         53 with value (4 35)           2 with value (4 56)
% 1.46/1.64  ;   144 with value (4 16)         52 with value (4 36)           1 with value (4 58)
% 1.46/1.64  ;   141 with value (4 17)         45 with value (4 37)           4 with value (4 59)
% 1.46/1.64  ;   107 with value (4 18)         48 with value (4 38)           1 with value (4 60)
% 1.46/1.64  ;   104 with value (4 19)         47 with value (4 39)           2 with value (4 61)
% 1.46/1.64  ;   106 with value (4 20)         31 with value (4 40)           2 with value (4 62)
% 1.46/1.64  ;    97 with value (4 21)         30 with value (4 41)           1 with value (4 63)
% 1.46/1.64  ;   101 with value (4 22)         36 with value (4 42)           1 with value (4 64)
% 1.46/1.64  ;   130 with value (4 23)         30 with value (4 43)           2 with value (4 65)
% 1.46/1.64  ;    93 with value (4 24)         28 with value (4 44)           1 with value (4 66)
% 1.46/1.64  ;   120 with value (4 25)         22 with value (4 45)           1 with value (4 69)
% 1.46/1.64  Evaluation took:
% 1.46/1.64    1.22 seconds of real time
% 1.46/1.64    1.118644 seconds of user run time
% 1.46/1.64    0.10144 seconds of system run time
% 1.46/1.64    [Run times include 0.217 seconds GC run time.]
% 1.46/1.64    0 calls to %EVAL
% 1.46/1.64    0 page faults and
% 1.46/1.64    89,812,552 bytes consed.
% 1.46/1.64  :PROOF-FOUND
% 1.46/1.64  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T04:20:00
% 1.46/1.64  :PROOF-FOUND
% 1.46/1.64  * 
%------------------------------------------------------------------------------