TSTP Solution File: SWV323-2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV323-2 : TPTP v8.1.0. Released v3.2.0.
% 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 21:32:47 EDT 2022
% Result : Unsatisfiable 4.03s 4.20s
% Output : Refutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of clauses : 32 ( 12 unt; 7 nHn; 30 RR)
% Number of literals : 57 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 13 con; 0-3 aty)
% Number of variables : 34 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_7,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(X,Y,Z),c_List_Oset(U,tc_Event_Oevent),tc_Event_Oevent)
| c_in(Z,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,U)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
( ~ c_in(X,c_Message_Oparts(c_insert(Y,Z,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(Y,c_Message_Osynth(c_Message_Oanalz(Z)),tc_Message_Omsg)
| c_in(X,c_union(c_Message_Osynth(c_Message_Oanalz(Z)),c_Message_Oparts(Z),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
cnf(cls_Message_OKey__synth_0,axiom,
( ~ c_in(c_Message_Omsg_OKey(X),c_Message_Osynth(Y),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X),Y,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
cnf(cls_Message_OMPair__synth__analz__iff1_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Osynth(c_Message_Oanalz(Z)),tc_Message_Omsg)
| c_in(X,c_Message_Osynth(c_Message_Oanalz(Z)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).
cnf(cls_Message_OMPair__synth__analz__iff1_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Osynth(c_Message_Oanalz(Z)),tc_Message_Omsg)
| c_in(Y,c_Message_Osynth(c_Message_Oanalz(Z)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_1) ).
cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
( ~ c_in(X,c_Message_Oanalz(Y),tc_Message_Omsg)
| c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( ~ c_in(X,Y,tc_Message_Omsg)
| c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(cls_Message_Osynth_OInj_0,axiom,
( ~ c_in(X,Y,tc_Message_Omsg)
| c_in(X,c_Message_Osynth(Y),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
( ~ c_in(X,c_OtwayRees_Ootway,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(c_Event_Oevent_OSays(v_sko__usf(Y,Z,X),Y,Z),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
( ~ c_in(X,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X)),c_Event_Oknows(c_Message_Oagent_OSpy,Y),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
cnf(cls_Set_OUnE_0,axiom,
( ~ c_in(X,c_union(Y,Z,U),U)
| c_in(X,Z,U)
| c_in(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
cnf(cls_Set_OinsertCI_0,axiom,
( ~ c_in(X,Y,Z)
| c_in(X,c_insert(U,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
cnf(23,plain,
c_in(c_Event_Oevent_OSays(v_sko__usf(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),v_evs4),v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference('HYPERRESOLVE',[status(thm)],[cls_OtwayRees_OGets__imp__Says__dest_0,cls_conjecture_0,cls_conjecture_3]) ).
cnf(4336,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_0,23]) ).
cnf(4339,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Osynth_OInj_0,4336]) ).
cnf(4346,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_OMPair__synth__analz__iff1_1,4339]) ).
cnf(4386,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_OMPair__synth__analz__iff1_0,4346]) ).
cnf(4394,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0,4386,cls_conjecture_7]) ).
cnf(4953,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnE_0,4394]) ).
cnf(8395,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_OKey__synth_0,4953]) ).
cnf(8399,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_4,8395]) ).
cnf(8400,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz__into__parts__dest_0,8399]) ).
cnf(8404,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_4,8400]) ).
cnf(8405,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference('REWRITE',[status(thm)],[cls_conjecture_6,8404]) ).
cnf(8406,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,8405]) ).
cnf(8410,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OinsertCI_0,8406]) ).
cnf(8415,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0,8410]),8404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV323-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.10 % 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
% 0.14/0.29 % CPULimit : 300
% 0.14/0.29 % WCLimit : 600
% 0.14/0.29 % DateTime : Wed Jun 15 03:15:43 EDT 2022
% 0.14/0.29 % CPUTime :
% 0.14/0.36 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 *
% 0.14/0.37 *
% 0.14/0.37 #<PACKAGE "SNARK-USER">
% 0.14/0.37 *
% 0.14/0.37 SNARK-TPTP-OPTIONS
% 0.14/0.37 *
% 0.14/0.37 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.37 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.37 (USE-FACTORING :POS)
% 0.14/0.37 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.37 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.37 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.37 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.37 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.37 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.37 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.37 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.37 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.37 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.37 *
% 0.14/0.37 "."
% 0.14/0.37 *
% 0.14/0.37 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T03:15:43
% 0.14/0.37 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-15T03:15:43
% 4.03/4.20
% 4.03/4.20
% 4.03/4.20 #||
% 4.03/4.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.03/4.20 % SZS output start Refutation
% See solution above
% 4.03/4.24 ||#
% 4.03/4.24
% 4.03/4.24 ; Summary of computation:
% 4.03/4.24 ; 13058 formulas have been input or derived (from 2820 formulas).
% 4.03/4.24 ; 8415 (64%) were retained. Of these,
% 4.03/4.24 ; 4331 (51%) were simplified or subsumed later,
% 4.03/4.24 ; 4084 (49%) are still being kept.
% 4.03/4.24 ;
% 4.03/4.24 ; Run time in seconds excluding printing time:
% 4.03/4.24 ; 0.002 0% Read assertion file (1 call)
% 4.03/4.24 ; 0.001 0% Assert (17 calls)
% 4.03/4.24 ; 1.092 28% Process new row (11,683 calls)
% 4.03/4.24 ; 0.382 10% Resolution (5,638 calls)
% 4.03/4.24 ; 0.093 2% Paramodulation (2,819 calls)
% 4.03/4.24 ; 0.008 0% Factoring (1,443 calls)
% 4.03/4.24 ; 0.028 1% Condensing (4,913 calls)
% 4.03/4.24 ; 1.058 28% Forward subsumption (4,913 calls)
% 4.03/4.24 ; 0.291 8% Backward subsumption (4,343 calls)
% 4.03/4.24 ; 0.066 2% Clause clause subsumption (56,034 calls)
% 4.03/4.24 ; 0.194 5% Forward simplification (11,677 calls)
% 4.03/4.24 ; 0.513 13% Backward simplification (8,415 calls)
% 4.03/4.24 ; 0.010 0% Ordering (2,888 calls)
% 4.03/4.24 ; 0.000 0% Sortal reasoning (32 calls)
% 4.03/4.24 ; 0.000 0% Purity testing (1 call)
% 4.03/4.24 ; 0.094 2% Other
% 4.03/4.24 ; 3.832 Total
% 4.03/4.24 ; 3.866 Real time
% 4.03/4.24 ;
% 4.03/4.24 ; Term-hash-array has 16,712 terms in all.
% 4.03/4.24 ; Feature-vector-row-index has 12 entries (4,338 at peak, 4,343 added, 4,331 deleted).
% 4.03/4.24 ; Feature-vector-row-index has 77 nodes (19,721 at peak, 19,772 added, 19,695 deleted).
% 4.03/4.24 ; Retrieved 15,762 possibly forward subsuming rows in 4,913 calls.
% 4.03/4.24 ; Retrieved 41,626 possibly backward subsumed rows in 4,343 calls.
% 4.03/4.24 ; Path-index has 6,704 entries (16,709 at peak, 16,734 added, 10,030 deleted).
% 4.03/4.24 ; Path-index has 102,194 nodes (138,017 at peak, 138,166 added, 35,972 deleted).
% 4.03/4.24 ; Trie-index has 6,704 entries (16,709 at peak, 16,734 added, 10,030 deleted).
% 4.03/4.24 ; Trie-index has 46,259 nodes (127,023 at peak, 127,207 added, 80,948 deleted).
% 4.03/4.24 ; Retrieved 2,693 generalization terms in 16,597 calls.
% 4.03/4.24 ; Retrieved 4,071 instance terms in 4,071 calls.
% 4.03/4.24 ; Retrieved 31,248 unifiable terms in 54,746 calls.
% 4.03/4.24 ;
% 4.03/4.24 ; The agenda of rows to process has 6 entries:
% 4.03/4.24 ; 1 with value 15 2 with value 23 2 with value 25
% 4.03/4.24 ; 1 with value 19
% 4.03/4.24 ; The agenda of rows to give has 2709 entries:
% 4.03/4.24 ; 1 with value (4 16) 3 with value (4 27) 216 with value (4 41)
% 4.03/4.24 ; 1 with value (4 17) 412 with value (4 38) 430 with value (4 42)
% 4.03/4.24 ; 1 with value (4 18) 610 with value (4 39) 1 with value (4 47)
% 4.03/4.24 ; 1 with value (4 19) 1030 with value (4 40) 2 with value (4 49)
% 4.03/4.24 ; 1 with value (4 25)
% 4.03/4.24 Evaluation took:
% 4.03/4.24 3.866 seconds of real time
% 4.03/4.24 3.536662 seconds of user run time
% 4.03/4.24 0.329918 seconds of system run time
% 4.03/4.24 [Run times include 0.858 seconds GC run time.]
% 4.03/4.24 0 calls to %EVAL
% 4.03/4.24 0 page faults and
% 4.03/4.24 393,223,728 bytes consed.
% 4.03/4.24 :PROOF-FOUND
% 4.03/4.24 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T03:15:47
% 4.03/4.24 :PROOF-FOUND
% 4.03/4.24 *
%------------------------------------------------------------------------------