TSTP Solution File: SWV318-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV318-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 21:32:45 EDT 2022
% Result : Unsatisfiable 2.06s 2.25s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 26 ( 14 unt; 2 nHn; 23 RR)
% Number of literals : 39 ( 3 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-3 aty)
% Number of variables : 21 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oparts(Z),tc_Message_Omsg)
| c_in(Y,c_Message_Oparts(Z),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
cnf(cls_Message_OMPair__parts_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oparts(Z),tc_Message_Omsg)
| c_in(X,c_Message_Oparts(Z),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(cls_Message_Oparts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X)) = c_Message_Oparts(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(cls_Message_Oparts__cut__eq_0,axiom,
( ~ c_in(X,c_Message_Oparts(Y),tc_Message_Omsg)
| c_Message_Oparts(c_insert(X,Y,tc_Message_Omsg)) = c_Message_Oparts(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__cut__eq_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(21,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(808,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_0,21]) ).
cnf(810,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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,808]),cls_Message_Oparts__analz_0,theory(equality)]) ).
cnf(813,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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_OMPair__parts_0,810]) ).
cnf(902,plain,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_OMPair__parts_1,813]) ).
cnf(917,plain,
c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts__cut__eq_0,902]) ).
cnf(918,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('REWRITE',[status(thm)],[cls_conjecture_6,917,theory(equality)]) ).
cnf(919,plain,
( 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(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference('REWRITE',[status(thm)],[cls_conjecture_7,917,theory(equality)]) ).
cnf(1699,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_4,919]) ).
cnf(1700,plain,
~ 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('REWRITE',[status(thm)],[918,1699]) ).
cnf(1701,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_Message_Oparts_OInj_0,1700]) ).
cnf(1705,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0,1699]) ).
cnf(1706,plain,
$false,
inference('REWRITE',[status(thm)],[1701,1705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV318-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 04:36:09 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T04:36:09
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-15T04:36:09
% 2.06/2.25
% 2.06/2.25
% 2.06/2.25 #||
% 2.06/2.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.06/2.25 % SZS output start Refutation
% See solution above
% 2.06/2.26 ||#
% 2.06/2.26
% 2.06/2.26 ; Summary of computation:
% 2.06/2.26 ; 1858 formulas have been input or derived (from 174 formulas).
% 2.06/2.26 ; 1706 (92%) were retained. Of these,
% 2.06/2.26 ; 1484 (87%) were simplified or subsumed later,
% 2.06/2.26 ; 222 (13%) are still being kept.
% 2.06/2.26 ;
% 2.06/2.26 ; Run time in seconds excluding printing time:
% 2.06/2.26 ; 0.004 0% Read assertion file (1 call)
% 2.06/2.26 ; 0.000 0% Assert (14 calls)
% 2.06/2.26 ; 0.392 22% Process new row (1,743 calls)
% 2.06/2.26 ; 0.017 1% Resolution (346 calls)
% 2.06/2.26 ; 0.008 0% Paramodulation (173 calls)
% 2.06/2.26 ; 0.001 0% Factoring (125 calls)
% 2.06/2.26 ; 0.029 2% Condensing (1,605 calls)
% 2.06/2.26 ; 0.908 51% Forward subsumption (1,605 calls)
% 2.06/2.26 ; 0.123 7% Backward subsumption (1,582 calls)
% 2.06/2.26 ; 0.057 3% Clause clause subsumption (23,326 calls)
% 2.06/2.26 ; 0.055 3% Forward simplification (1,732 calls)
% 2.06/2.26 ; 0.149 8% Backward simplification (1,706 calls)
% 2.06/2.26 ; 0.003 0% Ordering (1,400 calls)
% 2.06/2.26 ; 0.001 0% Sortal reasoning (32 calls)
% 2.06/2.26 ; 0.000 0% Purity testing (1 call)
% 2.06/2.26 ; 0.029 2% Other
% 2.06/2.26 ; 1.776 Total
% 2.06/2.26 ; 1.778 Real time
% 2.06/2.26 ;
% 2.06/2.26 ; Term-hash-array has 5,396 terms in all.
% 2.06/2.26 ; Feature-vector-row-index has 99 entries (809 at peak, 1,582 added, 1,483 deleted).
% 2.06/2.26 ; Feature-vector-row-index has 2,009 nodes (12,321 at peak, 19,839 added, 17,830 deleted).
% 2.06/2.26 ; Retrieved 15,493 possibly forward subsuming rows in 1,605 calls.
% 2.06/2.26 ; Retrieved 7,862 possibly backward subsumed rows in 1,582 calls.
% 2.06/2.26 ; Path-index has 660 entries (3,035 at peak, 5,539 added, 4,879 deleted).
% 2.06/2.26 ; Path-index has 27,601 nodes (33,312 at peak, 43,399 added, 15,798 deleted).
% 2.06/2.26 ; Trie-index has 660 entries (3,035 at peak, 5,539 added, 4,879 deleted).
% 2.06/2.26 ; Trie-index has 3,883 nodes (33,408 at peak, 55,904 added, 52,021 deleted).
% 2.06/2.26 ; Retrieved 1 generalization term in 11,397 calls.
% 2.06/2.26 ; Retrieved 126 instance terms in 123 calls.
% 2.06/2.26 ; Retrieved 2,041 unifiable terms in 2,542 calls.
% 2.06/2.26 ;
% 2.06/2.26 ; The agenda of rows to give has 176 entries:
% 2.06/2.26 ; 1 with value (4 11) 2 with value (4 33) 5 with value (4 49)
% 2.06/2.26 ; 1 with value (4 13) 5 with value (4 34) 6 with value (4 50)
% 2.06/2.26 ; 2 with value (4 16) 2 with value (4 35) 2 with value (4 51)
% 2.06/2.26 ; 1 with value (4 18) 7 with value (4 36) 4 with value (4 52)
% 2.06/2.26 ; 1 with value (4 20) 4 with value (4 37) 4 with value (4 53)
% 2.06/2.26 ; 1 with value (4 22) 8 with value (4 38) 1 with value (4 54)
% 2.06/2.26 ; 1 with value (4 23) 8 with value (4 39) 3 with value (4 55)
% 2.06/2.26 ; 1 with value (4 24) 7 with value (4 40) 3 with value (4 56)
% 2.06/2.26 ; 1 with value (4 25) 7 with value (4 41) 3 with value (4 58)
% 2.06/2.26 ; 6 with value (4 26) 10 with value (4 42) 2 with value (4 59)
% 2.06/2.26 ; 2 with value (4 27) 6 with value (4 43) 2 with value (4 61)
% 2.06/2.26 ; 5 with value (4 28) 6 with value (4 44) 2 with value (4 62)
% 2.06/2.26 ; 2 with value (4 29) 10 with value (4 45) 2 with value (4 64)
% 2.06/2.26 ; 5 with value (4 30) 5 with value (4 46) 2 with value (4 65)
% 2.06/2.26 ; 1 with value (4 31) 5 with value (4 47) 1 with value (4 67)
% 2.06/2.26 ; 4 with value (4 32) 6 with value (4 48) 1 with value (4 68)
% 2.06/2.26 Evaluation took:
% 2.06/2.26 1.78 seconds of real time
% 2.06/2.26 1.677272 seconds of user run time
% 2.06/2.26 0.101907 seconds of system run time
% 2.06/2.26 [Run times include 0.216 seconds GC run time.]
% 2.06/2.26 0 calls to %EVAL
% 2.06/2.26 0 page faults and
% 2.06/2.26 236,939,928 bytes consed.
% 2.06/2.26 :PROOF-FOUND
% 2.06/2.26 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T04:36:11
% 2.06/2.26 :PROOF-FOUND
% 2.06/2.26 *
%------------------------------------------------------------------------------