TSTP Solution File: SWV345-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV345-1 : TPTP v8.1.0. Released v3.2.0.
% 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 21:32:55 EDT 2022

% Result   : Unsatisfiable 17.41s 17.60s
% Output   : Refutation 17.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (  11 unt;   0 nHn;  15 RR)
%            Number of literals    :   27 (   8 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  14 con; 0-3 aty)
%            Number of variables   :   48 (  26 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Yahalom_Ounique__session__keys__dest_0,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,W)))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(U1,V1)))),W1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | Y1 = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_0) ).

cnf(cls_Yahalom_Ounique__session__keys__dest_1,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,W)))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(U1,V1)))),W1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | Z1 = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_1) ).

cnf(cls_Yahalom_Ounique__session__keys__dest_2,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,W)))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(U1,V1)))),W1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | U1 = V ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_2) ).

cnf(cls_Yahalom_Ounique__session__keys__dest_3,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,W)))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(U1,V1)))),W1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | V1 = W ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_3) ).

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

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_7,negated_conjecture,
    v_nb != c_Message_Omsg_ONonce(v_NB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(22225,plain,
    v_A = v_Aa,
    inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_Ounique__session__keys__dest_0,cls_conjecture_2,cls_conjecture_3,cls_conjecture_4]) ).

cnf(22226,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference('REWRITE',[status(thm)],[cls_conjecture_3,22225,theory(equality)]) ).

cnf(22308,plain,
    v_Ba = v_B,
    inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_Ounique__session__keys__dest_1,cls_conjecture_2,cls_conjecture_4,22226]) ).

cnf(22309,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference('REWRITE',[status(thm)],[22226,22308,theory(equality)]) ).

cnf(22391,plain,
    c_Message_Omsg_ONonce(v_NA) = v_na,
    inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_Ounique__session__keys__dest_2,cls_conjecture_2,cls_conjecture_4,22309]) ).

cnf(22392,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference('REWRITE',[status(thm)],[22309,22391,theory(equality)]) ).

cnf(22474,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_Ounique__session__keys__dest_3,cls_conjecture_2,cls_conjecture_4,22392,cls_conjecture_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV345-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.32  % Computer : n008.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Thu Jun 16 00:20:22 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.44  #<PACKAGE "SNARK-USER">
% 0.18/0.44  * 
% 0.18/0.44  SNARK-TPTP-OPTIONS
% 0.18/0.44  * 
% 0.18/0.44  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44   (USE-FACTORING :POS)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44  * 
% 0.18/0.44  "."
% 0.18/0.44  * 
% 0.18/0.44  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T00:20:22
% 0.18/0.44  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-16T00:20:22
% 0.60/0.82  
% 0.67/0.84  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.67/0.85  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.67/0.85  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.88  WARNING:
% 0.71/0.88     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 17.41/17.60  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 17.41/17.60  
% 17.41/17.60  #||
% 17.41/17.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.41/17.60  % SZS output start Refutation
% See solution above
% 17.41/17.60  ||#
% 17.41/17.60  
% 17.41/17.60  ; Summary of computation:
% 17.41/17.60  ;     45287 formulas have been input or derived (from 2375 formulas).
% 17.41/17.60  ;     22474 (50%) were retained.  Of these,
% 17.41/17.60  ;         3654 (16%) were simplified or subsumed later,
% 17.41/17.60  ;        18820 (84%) are still being kept.
% 17.41/17.60  ; 
% 17.41/17.60  ; Run time in seconds excluding printing time:
% 17.41/17.60  ;     0.362   2%   Read assertion file          (1 call)
% 17.41/17.60  ;     0.045   0%   Assert                       (2,953 calls)
% 17.41/17.60  ;     3.445  20%   Process new row              (41,767 calls)
% 17.41/17.60  ;     2.382  14%   Resolution                   (4,748 calls)
% 17.41/17.60  ;     0.221   1%   Paramodulation               (2,374 calls)
% 17.41/17.60  ;     0.000   0%   Factoring                    (77 calls)
% 17.41/17.60  ;     0.257   1%   Condensing                   (14,103 calls)
% 17.41/17.60  ;     4.149  24%   Forward subsumption          (14,103 calls)
% 17.41/17.60  ;     1.761  10%   Backward subsumption         (11,205 calls)
% 17.41/17.60  ;     0.242   1%   Clause clause subsumption    (18,656 calls)
% 17.41/17.60  ;     2.817  16%   Forward simplification       (40,217 calls)
% 17.41/17.60  ;     0.630   4%   Backward simplification      (22,329 calls)
% 17.41/17.60  ;     0.614   4%   Ordering                     (69,000 calls)
% 17.41/17.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 17.41/17.60  ;     0.009   0%   Purity testing               (1 call)
% 17.41/17.60  ;     0.216   1%   Other
% 17.41/17.60  ;    17.150        Total
% 17.41/17.60  ;    17.157        Real time
% 17.41/17.60  ; 
% 17.41/17.61  ; Term-hash-array has 63,200 terms in all.
% 17.41/17.61  ; Feature-vector-row-index has 9,337 entries (9,337 at peak, 11,205 added, 1,868 deleted).
% 17.41/17.61  ; Feature-vector-row-index has 84,684 nodes (84,684 at peak, 105,034 added, 20,350 deleted).
% 17.41/17.61  ;  Retrieved 31,886 possibly forward subsuming rows in 14,103 calls.
% 17.41/17.61  ;  Retrieved 6,128 possibly backward subsumed rows in 11,205 calls.
% 17.41/17.61  ; Path-index has 54,680 entries (54,680 at peak, 64,955 added, 10,275 deleted).
% 17.41/17.61  ; Path-index has 179,429 nodes (179,429 at peak, 193,086 added, 13,657 deleted).
% 17.41/17.61  ; Trie-index has 54,680 entries (54,680 at peak, 64,955 added, 10,275 deleted).
% 17.41/17.61  ; Trie-index has 423,760 nodes (424,202 at peak, 498,158 added, 74,398 deleted).
% 17.41/17.61  ; Retrieved 133,276 generalization terms in 357,006 calls.
% 17.41/17.61  ; Retrieved 19,692 instance terms in 11,757 calls.
% 17.41/17.61  ; Retrieved 2,569,631 unifiable terms in 28,927 calls.
% 17.41/17.61  ; 
% 17.41/17.61  ; The agenda of rows to process has 77 entries:
% 17.41/17.61  ;     1 with value 5               1 with value 66               1 with value 119
% 17.41/17.61  ;     1 with value 7               2 with value 70               2 with value 123
% 17.41/17.61  ;     3 with value 8               2 with value 71               2 with value 124
% 17.41/17.61  ;     2 with value 30              3 with value 72               2 with value 125
% 17.41/17.61  ;     2 with value 32              3 with value 73               2 with value 128
% 17.41/17.61  ;     2 with value 33              1 with value 79               1 with value 131
% 17.41/17.61  ;     2 with value 34              1 with value 81               1 with value 135
% 17.41/17.61  ;     2 with value 36              2 with value 94               1 with value 137
% 17.41/17.61  ;     2 with value 42              1 with value 95               2 with value 144
% 17.41/17.61  ;     2 with value 44              2 with value 96               2 with value 151
% 17.41/17.61  ;     1 with value 57              2 with value 99               1 with value 153
% 17.41/17.61  ;     1 with value 59              2 with value 108              2 with value 160
% 17.41/17.61  ;     1 with value 60              2 with value 114              1 with value 171
% 17.41/17.61  ;     2 with value 62              2 with value 115              2 with value 180
% 17.41/17.61  ;     2 with value 64              2 with value 116              1 with value 189
% 17.41/17.61  ; The agenda of input rows to give has 5 entries:
% 17.41/17.61  ;     1 with value 82              1 with value 88               1 with value 90
% 17.41/17.61  ;     2 with value 85
% 17.41/17.61  ; The agenda of rows to give has 16647 entries:
% 17.41/17.61  ;     2 with value (4 4)         124 with value (4 53)          10 with value (4 102)
% 17.41/17.61  ;    10 with value (4 5)         112 with value (4 54)          13 with value (4 103)
% 17.41/17.61  ;    18 with value (4 6)          98 with value (4 55)          11 with value (4 104)
% 17.41/17.61  ;    14 with value (4 7)         106 with value (4 56)          28 with value (4 105)
% 17.41/17.61  ;    97 with value (4 8)          80 with value (4 57)           5 with value (4 106)
% 17.41/17.61  ;    79 with value (4 9)          70 with value (4 58)          10 with value (4 107)
% 17.41/17.61  ;   283 with value (4 10)         77 with value (4 59)          16 with value (4 108)
% 17.41/17.61  ;   112 with value (4 11)        108 with value (4 60)          18 with value (4 109)
% 17.41/17.61  ;   395 with value (4 12)         78 with value (4 61)          14 with value (4 110)
% 17.41/17.61  ;   258 with value (4 13)         90 with value (4 62)          10 with value (4 111)
% 17.41/17.61  ;   549 with value (4 14)         90 with value (4 63)          13 with value (4 112)
% 17.41/17.61  ;   365 with value (4 15)         85 with value (4 64)          16 with value (4 113)
% 17.41/17.61  ;   491 with value (4 16)         63 with value (4 65)           4 with value (4 114)
% 17.41/17.61  ;   426 with value (4 17)         94 with value (4 66)          10 with value (4 115)
% 17.41/17.61  ;   417 with value (4 18)        103 with value (4 67)           5 with value (4 116)
% 17.41/17.61  ;   395 with value (4 19)         84 with value (4 68)           3 with value (4 117)
% 17.41/17.61  ;   384 with value (4 20)         88 with value (4 69)           7 with value (4 118)
% 17.41/17.61  ;   403 with value (4 21)         86 with value (4 70)          15 with value (4 119)
% 17.41/17.61  ;   395 with value (4 22)         91 with value (4 71)           5 with value (4 120)
% 17.41/17.61  ;   452 with value (4 23)         84 with value (4 72)           2 with value (4 121)
% 17.41/17.61  ;   465 with value (4 24)         68 with value (4 73)           5 with value (4 122)
% 17.41/17.61  ;   441 with value (4 25)         81 with value (4 74)           3 with value (4 123)
% 17.41/17.61  ;   356 with value (4 26)         69 with value (4 75)           7 with value (4 124)
% 17.41/17.61  ;   375 with value (4 27)         71 with value (4 76)           2 with value (4 125)
% 17.41/17.61  ;   404 with value (4 28)         78 with value (4 77)           2 with value (4 126)
% 17.41/17.61  ;   446 with value (4 29)         47 with value (4 78)           5 with value (4 127)
% 17.41/17.61  ;   377 with value (4 30)         68 with value (4 79)           3 with value (4 128)
% 17.41/17.61  ;   327 with value (4 31)         66 with value (4 80)           3 with value (4 129)
% 17.41/17.61  ;   368 with value (4 32)         53 with value (4 81)           5 with value (4 131)
% 17.41/17.61  ;   302 with value (4 33)         48 with value (4 82)           4 with value (4 132)
% 17.41/17.61  ;   296 with value (4 34)         31 with value (4 83)           3 with value (4 134)
% 17.41/17.61  ;   300 with value (4 35)         39 with value (4 84)           5 with value (4 137)
% 17.41/17.61  ;   243 with value (4 36)         51 with value (4 85)           1 with value (4 142)
% 17.41/17.61  ;   316 with value (4 37)         38 with value (4 86)           3 with value (4 143)
% 17.41/17.61  ;   238 with value (4 38)         46 with value (4 87)           1 with value (4 145)
% 17.41/17.61  ;   299 with value (4 39)         36 with value (4 88)           3 with value (4 148)
% 17.41/17.61  ;   244 with value (4 40)         23 with value (4 89)           4 with value (4 151)
% 17.41/17.61  ;   234 with value (4 41)         35 with value (4 90)           3 with value (4 152)
% 17.41/17.61  ;   257 with value (4 42)         30 with value (4 91)           3 with value (4 153)
% 17.41/17.61  ;   184 with value (4 43)         13 with value (4 92)           1 with value (4 157)
% 17.41/17.61  ;   203 with value (4 44)         44 with value (4 93)           3 with value (4 160)
% 17.41/17.61  ;   153 with value (4 45)         23 with value (4 94)           1 with value (4 169)
% 17.41/17.61  ;   142 with value (4 46)         29 with value (4 95)           3 with value (4 171)
% 17.41/17.61  ;   120 with value (4 47)         30 with value (4 96)           2 with value (4 176)
% 17.41/17.61  ;   157 with value (4 48)         27 with value (4 97)           2 with value (4 178)
% 17.41/17.61  ;   139 with value (4 49)          7 with value (4 98)           3 with value (4 180)
% 17.41/17.61  ;   114 with value (4 50)         33 with value (4 99)           1 with value (4 185)
% 17.41/17.61  ;   101 with value (4 51)         14 with value (4 100)          3 with value (4 189)
% 17.41/17.61  ;   179 with value (4 52)         14 with value (4 101)
% 17.41/17.61  Evaluation took:
% 17.41/17.61    17.169 seconds of real time
% 17.41/17.61    16.157911 seconds of user run time
% 17.41/17.61    1.00621 seconds of system run time
% 17.41/17.61    [Run times include 5.246 seconds GC run time.]
% 17.41/17.61    0 calls to %EVAL
% 17.41/17.61    0 page faults and
% 17.41/17.61    1,219,997,272 bytes consed.
% 17.41/17.61  :PROOF-FOUND
% 17.41/17.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T00:20:40
% 17.41/17.61  :PROOF-FOUND
% 17.41/17.61  * 
%------------------------------------------------------------------------------