TSTP Solution File: SWV801-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV801-1 : 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 21:36:05 EDT 2022

% Result   : Unsatisfiable 1.73s 1.91s
% Output   : Refutation 1.73s
% 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    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  11 con; 0-2 aty)
%            Number of variables   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_invKey__K_0,axiom,
    ( c_Message_OinvKey(X) = X
    | ~ c_in(X,c_Message_OsymKeys,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__K_0) ).

cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
    ( c_in(c_Message_OinvKey(X),c_Message_OkeysFor(Y),tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(X,Z),Y,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).

cnf(cls_new__keys__not__used_0,axiom,
    ( ~ c_in(X,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,Y))),tc_nat)
    | ~ c_in(Y,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(X,c_Message_OsymKeys,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,X),c_Event_Oused(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(v_KAB,c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_10,negated_conjecture,
    v_K = v_KAB,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).

cnf(cls_conjecture_12,negated_conjecture,
    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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).

cnf(448,plain,
    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_12,cls_conjecture_10,theory(equality)]) ).

cnf(477,plain,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[cls_conjecture_3,cls_conjecture_10,theory(equality)]) ).

cnf(478,plain,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_conjecture_10,theory(equality)]) ).

cnf(552,plain,
    c_Message_OinvKey(v_K) = v_K,
    inference('HYPERRESOLVE',[status(thm)],[cls_invKey__K_0,478]) ).

cnf(1347,plain,
    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_0,448]),552,theory(equality)]) ).

cnf(3139,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_new__keys__not__used_0,cls_conjecture_2,478,477]),1347]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SWV801-1 : TPTP v8.1.0. Released v4.1.0.
% 0.02/0.09  % Command  : run-snark %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Wed Jun 15 11:06:13 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.14/0.38  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  * 
% 0.14/0.38  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T11:06:14
% 0.14/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-15T11:06:14
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.14/0.55  WARNING:
% 0.14/0.55     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.73/1.91  
% 1.73/1.91  
% 1.73/1.91  #||
% 1.73/1.91  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.73/1.91  % SZS output start Refutation
% See solution above
% 1.73/1.92  ||#
% 1.73/1.92  
% 1.73/1.92  ; Summary of computation:
% 1.73/1.92  ;      6954 formulas have been input or derived (from 402 formulas).
% 1.73/1.92  ;      3139 (45%) were retained.  Of these,
% 1.73/1.92  ;          100 ( 3%) were simplified or subsumed later,
% 1.73/1.92  ;         3039 (97%) are still being kept.
% 1.73/1.92  ; 
% 1.73/1.92  ; Run time in seconds excluding printing time:
% 1.73/1.92  ;     0.131   9%   Read assertion file          (1 call)
% 1.73/1.92  ;     0.016   1%   Assert                       (577 calls)
% 1.73/1.92  ;     0.462  30%   Process new row              (6,337 calls)
% 1.73/1.92  ;     0.161  11%   Resolution                   (802 calls)
% 1.73/1.92  ;     0.042   3%   Paramodulation               (401 calls)
% 1.73/1.92  ;     0.000   0%   Factoring                    (8 calls)
% 1.73/1.92  ;     0.024   2%   Condensing                   (1,248 calls)
% 1.73/1.92  ;     0.126   8%   Forward subsumption          (1,248 calls)
% 1.73/1.92  ;     0.057   4%   Backward subsumption         (916 calls)
% 1.73/1.92  ;     0.012   1%   Clause clause subsumption    (1,404 calls)
% 1.73/1.92  ;     0.278  18%   Forward simplification       (6,297 calls)
% 1.73/1.92  ;     0.071   5%   Backward simplification      (3,127 calls)
% 1.73/1.92  ;     0.086   6%   Ordering                     (9,622 calls)
% 1.73/1.92  ;     0.001   0%   Sortal reasoning             (32 calls)
% 1.73/1.92  ;     0.001   0%   Purity testing               (1 call)
% 1.73/1.92  ;     0.052   3%   Other
% 1.73/1.92  ;     1.520        Total
% 1.73/1.92  ;     1.526        Real time
% 1.73/1.92  ; 
% 1.73/1.92  ; Term-hash-array has 7,980 terms in all.
% 1.73/1.92  ; Feature-vector-row-index has 896 entries (896 at peak, 916 added, 20 deleted).
% 1.73/1.92  ; Feature-vector-row-index has 10,192 nodes (10,192 at peak, 10,418 added, 226 deleted).
% 1.73/1.92  ;  Retrieved 1,632 possibly forward subsuming rows in 1,248 calls.
% 1.73/1.92  ;  Retrieved 300 possibly backward subsumed rows in 916 calls.
% 1.73/1.92  ; Path-index has 7,825 entries (7,825 at peak, 8,041 added, 216 deleted).
% 1.73/1.92  ; Path-index has 20,891 nodes (20,891 at peak, 21,120 added, 229 deleted).
% 1.73/1.92  ; Trie-index has 7,825 entries (7,825 at peak, 8,041 added, 216 deleted).
% 1.73/1.92  ; Trie-index has 39,872 nodes (39,872 at peak, 40,867 added, 995 deleted).
% 1.73/1.92  ; Retrieved 17,831 generalization terms in 26,902 calls.
% 1.73/1.92  ; Retrieved 3,478 instance terms in 2,408 calls.
% 1.73/1.92  ; Retrieved 135,008 unifiable terms in 5,185 calls.
% 1.73/1.92  ; 
% 1.73/1.92  ; The agenda of rows to process has 8 entries:
% 1.73/1.92  ;     1 with value 36              1 with value 57               1 with value 60
% 1.73/1.92  ;     1 with value 47              1 with value 58               1 with value 66
% 1.73/1.92  ;     2 with value 56
% 1.73/1.92  ; The agenda of input rows to give has 49 entries:
% 1.73/1.92  ;     1 with value 33              1 with value 53               1 with value 74
% 1.73/1.92  ;     3 with value 35              2 with value 54               3 with value 76
% 1.73/1.92  ;     2 with value 36              1 with value 55               2 with value 77
% 1.73/1.92  ;     2 with value 37              1 with value 56               1 with value 78
% 1.73/1.92  ;     2 with value 39              1 with value 60               2 with value 79
% 1.73/1.92  ;     1 with value 40              2 with value 62               1 with value 81
% 1.73/1.92  ;     1 with value 41              1 with value 63               1 with value 86
% 1.73/1.92  ;     1 with value 42              1 with value 67               1 with value 91
% 1.73/1.92  ;     1 with value 44              1 with value 68               1 with value 94
% 1.73/1.92  ;     2 with value 49              5 with value 69               1 with value 97
% 1.73/1.92  ;     1 with value 50              1 with value 70               1 with value 101
% 1.73/1.92  ; The agenda of rows to give has 2592 entries:
% 1.73/1.92  ;     4 with value (4 6)          89 with value (4 26)          14 with value (4 46)
% 1.73/1.92  ;    22 with value (4 7)          84 with value (4 27)           7 with value (4 47)
% 1.73/1.92  ;     6 with value (4 8)          63 with value (4 28)           5 with value (4 48)
% 1.73/1.92  ;     8 with value (4 9)          74 with value (4 29)           2 with value (4 49)
% 1.73/1.92  ;    37 with value (4 10)         70 with value (4 30)           6 with value (4 50)
% 1.73/1.92  ;    27 with value (4 11)         50 with value (4 31)           5 with value (4 51)
% 1.73/1.92  ;    65 with value (4 12)         49 with value (4 32)           2 with value (4 52)
% 1.73/1.92  ;    86 with value (4 13)         45 with value (4 33)           4 with value (4 53)
% 1.73/1.92  ;   147 with value (4 14)         69 with value (4 34)           7 with value (4 54)
% 1.73/1.92  ;   138 with value (4 15)         50 with value (4 35)           1 with value (4 55)
% 1.73/1.92  ;   153 with value (4 16)         33 with value (4 36)           1 with value (4 56)
% 1.73/1.92  ;   138 with value (4 17)         35 with value (4 37)           1 with value (4 57)
% 1.73/1.92  ;   111 with value (4 18)         44 with value (4 38)           2 with value (4 58)
% 1.73/1.92  ;   111 with value (4 19)         41 with value (4 39)           2 with value (4 59)
% 1.73/1.92  ;   110 with value (4 20)         12 with value (4 40)           1 with value (4 60)
% 1.73/1.92  ;   112 with value (4 21)         21 with value (4 41)           2 with value (4 61)
% 1.73/1.92  ;    86 with value (4 22)         17 with value (4 42)           3 with value (4 63)
% 1.73/1.92  ;   118 with value (4 23)         17 with value (4 43)           1 with value (4 64)
% 1.73/1.92  ;    62 with value (4 24)         11 with value (4 44)           1 with value (4 65)
% 1.73/1.92  ;    99 with value (4 25)          9 with value (4 45)           2 with value (4 69)
% 1.73/1.92  Evaluation took:
% 1.73/1.92    1.528 seconds of real time
% 1.73/1.92    1.426253 seconds of user run time
% 1.73/1.92    0.098091 seconds of system run time
% 1.73/1.92    [Run times include 0.213 seconds GC run time.]
% 1.73/1.92    0 calls to %EVAL
% 1.73/1.92    0 page faults and
% 1.73/1.92    77,353,600 bytes consed.
% 1.73/1.92  :PROOF-FOUND
% 1.73/1.92  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T11:06:15
% 1.73/1.92  :PROOF-FOUND
% 1.73/1.92  * 
%------------------------------------------------------------------------------