TSTP Solution File: SWV357-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV357-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 21:33:00 EDT 2022

% Result   : Unsatisfiable 4.92s 5.11s
% Output   : Refutation 4.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :    7 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Message_OMPair__analz_0,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oanalz(Z),tc_Message_Omsg)
    | c_in(Y,c_Message_Oanalz(Z),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__analz_0) ).

cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(Y,Z),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(Z,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-4.ax',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

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

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(5734,plain,
    ~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,cls_conjecture_6]) ).

cnf(12253,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0,cls_conjecture_2,cls_conjecture_4]),5734]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV357-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 23:15:56 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T23:15:56
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-15T23:15:56
% 0.69/0.88  
% 0.73/0.89  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.73/0.91  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.73/0.91  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.94  WARNING:
% 0.77/0.94     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.95  WARNING:
% 0.77/0.95     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.95  WARNING:
% 0.77/0.95     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 4.92/5.11  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 4.92/5.11  
% 4.92/5.11  #||
% 4.92/5.11  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.92/5.11  % SZS output start Refutation
% See solution above
% 4.92/5.11  ||#
% 4.92/5.11  
% 4.92/5.11  ; Summary of computation:
% 4.92/5.11  ;     24515 formulas have been input or derived (from 2029 formulas).
% 4.92/5.11  ;     12253 (50%) were retained.  Of these,
% 4.92/5.11  ;         1599 (13%) were simplified or subsumed later,
% 4.92/5.11  ;        10654 (87%) are still being kept.
% 4.92/5.11  ; 
% 4.92/5.11  ; Run time in seconds:
% 4.92/5.11  ;     0.372   8%   Read assertion file          (1 call)
% 4.92/5.11  ;     0.058   1%   Assert                       (2,975 calls)
% 4.92/5.11  ;     1.243  27%   Process new row              (21,655 calls)
% 4.92/5.11  ;     0.967  21%   Resolution                   (4,056 calls)
% 4.92/5.11  ;     0.084   2%   Paramodulation               (2,028 calls)
% 4.92/5.11  ;     0.000   0%   Factoring                    (59 calls)
% 4.92/5.11  ;     0.100   2%   Condensing                   (6,680 calls)
% 4.92/5.11  ;     0.521  11%   Forward subsumption          (6,680 calls)
% 4.92/5.11  ;     0.460  10%   Backward subsumption         (5,665 calls)
% 4.92/5.11  ;     0.030   1%   Clause clause subsumption    (5,901 calls)
% 4.92/5.11  ;     0.374   8%   Forward simplification       (20,767 calls)
% 4.92/5.11  ;     0.147   3%   Backward simplification      (12,108 calls)
% 4.92/5.11  ;     0.117   3%   Ordering                     (23,947 calls)
% 4.92/5.11  ;     0.001   0%   Sortal reasoning             (32 calls)
% 4.92/5.11  ;     0.009   0%   Purity testing               (1 call)
% 4.92/5.11  ;     0.137   3%   Other
% 4.92/5.11  ;     4.620        Total
% 4.92/5.11  ;     4.619        Real time
% 4.92/5.11  ; 
% 4.92/5.12  ; Term-hash-array has 28,742 terms in all.
% 4.92/5.12  ; Feature-vector-row-index has 4,959 entries (4,959 at peak, 5,665 added, 706 deleted).
% 4.92/5.12  ; Feature-vector-row-index has 30,912 nodes (30,912 at peak, 36,113 added, 5,201 deleted).
% 4.92/5.12  ;  Retrieved 10,019 possibly forward subsuming rows in 6,680 calls.
% 4.92/5.12  ;  Retrieved 3,285 possibly backward subsumed rows in 5,665 calls.
% 4.92/5.12  ; Path-index has 25,930 entries (25,930 at peak, 29,272 added, 3,342 deleted).
% 4.92/5.12  ; Path-index has 94,496 nodes (94,496 at peak, 99,956 added, 5,460 deleted).
% 4.92/5.12  ; Trie-index has 25,930 entries (25,930 at peak, 29,272 added, 3,342 deleted).
% 4.92/5.12  ; Trie-index has 144,065 nodes (144,065 at peak, 162,910 added, 18,845 deleted).
% 4.92/5.12  ; Retrieved 30,692 generalization terms in 87,845 calls.
% 4.92/5.12  ; Retrieved 8,890 instance terms in 6,698 calls.
% 4.92/5.12  ; Retrieved 1,014,486 unifiable terms in 18,040 calls.
% 4.92/5.12  ; 
% 4.92/5.12  ; The agenda of rows to process has 8 entries:
% 4.92/5.12  ;     1 with value 26              3 with value 33               1 with value 42
% 4.92/5.12  ;     1 with value 29              1 with value 35               1 with value 44
% 4.92/5.12  ; The agenda of input rows to give has 307 entries:
% 4.92/5.12  ;    18 with value 27              7 with value 40               6 with value 56
% 4.92/5.12  ;    29 with value 28             12 with value 41               2 with value 60
% 4.92/5.12  ;    28 with value 29              4 with value 42               2 with value 61
% 4.92/5.12  ;    16 with value 30             12 with value 43               3 with value 62
% 4.92/5.12  ;    18 with value 31              4 with value 44               1 with value 65
% 4.92/5.12  ;    24 with value 32              5 with value 45               4 with value 69
% 4.92/5.12  ;    18 with value 33              2 with value 46               1 with value 71
% 4.92/5.12  ;    17 with value 34              1 with value 47               3 with value 74
% 4.92/5.12  ;     5 with value 35              1 with value 48               2 with value 81
% 4.92/5.12  ;    18 with value 36              6 with value 49               2 with value 82
% 4.92/5.12  ;     7 with value 37              1 with value 53               2 with value 85
% 4.92/5.12  ;    14 with value 38              2 with value 54               1 with value 88
% 4.92/5.12  ;     5 with value 39              3 with value 55               1 with value 90
% 4.92/5.12  ; The agenda of rows to give has 8440 entries:
% 4.92/5.12  ;     2 with value (4 4)         244 with value (4 27)          30 with value (4 49)
% 4.92/5.12  ;     8 with value (4 5)         201 with value (4 28)          30 with value (4 50)
% 4.92/5.12  ;    18 with value (4 6)         290 with value (4 29)          13 with value (4 51)
% 4.92/5.12  ;    13 with value (4 7)         182 with value (4 30)          21 with value (4 52)
% 4.92/5.12  ;    97 with value (4 8)         183 with value (4 31)          11 with value (4 53)
% 4.92/5.12  ;    80 with value (4 9)         192 with value (4 32)          19 with value (4 54)
% 4.92/5.12  ;   272 with value (4 10)        128 with value (4 33)           9 with value (4 55)
% 4.92/5.12  ;   108 with value (4 11)        131 with value (4 34)           5 with value (4 56)
% 4.92/5.12  ;   365 with value (4 12)        129 with value (4 35)           4 with value (4 57)
% 4.92/5.12  ;   262 with value (4 13)         75 with value (4 36)           2 with value (4 58)
% 4.92/5.12  ;   531 with value (4 14)        130 with value (4 37)          12 with value (4 59)
% 4.92/5.12  ;   347 with value (4 15)         68 with value (4 38)           7 with value (4 60)
% 4.92/5.12  ;   470 with value (4 16)         99 with value (4 39)           5 with value (4 61)
% 4.92/5.12  ;   406 with value (4 17)         91 with value (4 40)           8 with value (4 62)
% 4.92/5.12  ;   382 with value (4 18)         79 with value (4 41)           3 with value (4 63)
% 4.92/5.12  ;   357 with value (4 19)         86 with value (4 42)           2 with value (4 64)
% 4.92/5.12  ;   330 with value (4 20)         47 with value (4 43)           4 with value (4 71)
% 4.92/5.12  ;   324 with value (4 21)         44 with value (4 44)           1 with value (4 72)
% 4.92/5.12  ;   322 with value (4 22)         27 with value (4 45)           2 with value (4 74)
% 4.92/5.12  ;   336 with value (4 23)         25 with value (4 46)           2 with value (4 76)
% 4.92/5.12  ;   272 with value (4 24)         28 with value (4 47)           1 with value (4 77)
% 4.92/5.12  ;   226 with value (4 25)         23 with value (4 48)           1 with value (4 82)
% 4.92/5.12  ;   218 with value (4 26)
% 4.92/5.12  Evaluation took:
% 4.92/5.12    4.624 seconds of real time
% 4.92/5.12    4.27647 seconds of user run time
% 4.92/5.12    0.348009 seconds of system run time
% 4.92/5.12    [Run times include 0.955 seconds GC run time.]
% 4.92/5.12    0 calls to %EVAL
% 4.92/5.12    0 page faults and
% 4.92/5.12    318,144,352 bytes consed.
% 4.92/5.12  :PROOF-FOUND
% 4.92/5.12  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T23:16:01
% 4.92/5.12  :PROOF-FOUND
% 4.92/5.12  * 
%------------------------------------------------------------------------------