TSTP Solution File: SWV750-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV750-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 21:35:54 EDT 2022
% Result : Unsatisfiable 4.05s 4.24s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 20 ( 8 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 15 con; 0-3 aty)
% Number of variables : 20 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_unique__session__keys_0,axiom,
( X = Y
| ~ hBOOL(c_in(Z,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,Y),c_Message_Omsg_OMPair(U,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,W),X1))))),c_List_Oset(Z,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X),c_Message_Omsg_OMPair(Y1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,W),U1))))),c_List_Oset(Z,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
cnf(cls_unique__session__keys_1,axiom,
( X = Y
| ~ hBOOL(c_in(Z,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,U,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,U),c_Message_Omsg_OMPair(Y,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,W),X1))))),c_List_Oset(Z,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,Y1),c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,W),U1))))),c_List_Oset(Z,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
cnf(cls_conjecture_2,negated_conjecture,
hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_4,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_6,negated_conjecture,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_7,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_conjecture_9,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_conjecture_10,negated_conjecture,
( v_K != v_Ka
| v_NA != c_Message_Omsg_ONonce(v_NAa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(560,plain,
v_NA != c_Message_Omsg_ONonce(v_NAa),
inference('REWRITE',[status(thm)],[cls_conjecture_10,cls_conjecture_9,theory(equality)]) ).
cnf(595,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_conjecture_9,cls_conjecture_6,theory(equality)]) ).
cnf(5957,plain,
v_Aa = v_A,
inference('HYPERRESOLVE',[status(thm)],[cls_unique__session__keys_0,cls_conjecture_2,cls_conjecture_7,595]) ).
cnf(5960,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
inference('REWRITE',[status(thm)],[595,5957,theory(equality)]) ).
cnf(6027,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_unique__session__keys_1,560,cls_conjecture_2,5960,cls_conjecture_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV750-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 14:13:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T14:13:24
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-15T14:13:24
% 0.45/0.61 WARNING:
% 0.45/0.61 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.61 WARNING:
% 0.45/0.61 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 4.05/4.24
% 4.05/4.24
% 4.05/4.24 #||
% 4.05/4.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.05/4.24 % SZS output start Refutation
% See solution above
% 4.05/4.24 ||#
% 4.05/4.24
% 4.05/4.24 ; Summary of computation:
% 4.05/4.24 ; 13566 formulas have been input or derived (from 503 formulas).
% 4.05/4.24 ; 6027 (44%) were retained. Of these,
% 4.05/4.24 ; 298 ( 5%) were simplified or subsumed later,
% 4.05/4.24 ; 5729 (95%) are still being kept.
% 4.05/4.24 ;
% 4.05/4.24 ; Run time in seconds excluding printing time:
% 4.05/4.24 ; 0.133 4% Read assertion file (1 call)
% 4.05/4.24 ; 0.012 0% Assert (691 calls)
% 4.05/4.24 ; 0.733 19% Process new row (12,393 calls)
% 4.05/4.24 ; 0.336 9% Resolution (1,004 calls)
% 4.05/4.24 ; 0.068 2% Paramodulation (502 calls)
% 4.05/4.24 ; 0.000 0% Factoring (7 calls)
% 4.05/4.24 ; 0.046 1% Condensing (1,994 calls)
% 4.05/4.24 ; 0.654 17% Forward subsumption (1,994 calls)
% 4.05/4.24 ; 0.085 2% Backward subsumption (1,392 calls)
% 4.05/4.24 ; 0.043 1% Clause clause subsumption (2,651 calls)
% 4.05/4.24 ; 0.834 22% Forward simplification (12,347 calls)
% 4.05/4.24 ; 0.134 4% Backward simplification (5,988 calls)
% 4.05/4.24 ; 0.647 17% Ordering (80,082 calls)
% 4.05/4.24 ; 0.000 0% Sortal reasoning (32 calls)
% 4.05/4.24 ; 0.001 0% Purity testing (1 call)
% 4.05/4.24 ; 0.058 2% Other
% 4.05/4.24 ; 3.784 Total
% 4.05/4.24 ; 3.787 Real time
% 4.05/4.25 ;
% 4.05/4.25 ; Term-hash-array has 17,000 terms in all.
% 4.05/4.25 ; Feature-vector-row-index has 1,299 entries (1,299 at peak, 1,392 added, 93 deleted).
% 4.05/4.25 ; Feature-vector-row-index has 24,889 nodes (24,889 at peak, 26,437 added, 1,548 deleted).
% 4.05/4.25 ; Retrieved 3,741 possibly forward subsuming rows in 1,994 calls.
% 4.05/4.25 ; Retrieved 425 possibly backward subsumed rows in 1,392 calls.
% 4.05/4.25 ; Path-index has 16,435 entries (16,435 at peak, 17,297 added, 862 deleted).
% 4.05/4.25 ; Path-index has 39,727 nodes (39,738 at peak, 41,420 added, 1,693 deleted).
% 4.05/4.25 ; Trie-index has 16,435 entries (16,435 at peak, 17,297 added, 862 deleted).
% 4.05/4.25 ; Trie-index has 119,752 nodes (119,752 at peak, 126,346 added, 6,594 deleted).
% 4.05/4.25 ; Retrieved 105,932 generalization terms in 88,012 calls.
% 4.05/4.25 ; Retrieved 6,557 instance terms in 4,810 calls.
% 4.05/4.25 ; Retrieved 362,809 unifiable terms in 9,706 calls.
% 4.05/4.25 ;
% 4.05/4.25 ; The agenda of rows to process has 46 entries:
% 4.05/4.25 ; 1 with value 5 2 with value 36 1 with value 83
% 4.05/4.25 ; 1 with value 7 2 with value 42 2 with value 91
% 4.05/4.25 ; 1 with value 8 2 with value 44 1 with value 93
% 4.05/4.25 ; 1 with value 10 2 with value 63 2 with value 100
% 4.05/4.25 ; 2 with value 32 2 with value 65 1 with value 101
% 4.05/4.25 ; 6 with value 33 1 with value 72 2 with value 104
% 4.05/4.25 ; 8 with value 34 1 with value 78 1 with value 121
% 4.05/4.25 ; 2 with value 35 1 with value 79 1 with value 125
% 4.05/4.25 ; The agenda of input rows to give has 13 entries:
% 4.05/4.25 ; 2 with value 75 1 with value 78 1 with value 89
% 4.05/4.25 ; 1 with value 76 2 with value 84 2 with value 91
% 4.05/4.25 ; 1 with value 77 1 with value 85 2 with value 96
% 4.05/4.25 ; The agenda of rows to give has 5220 entries:
% 4.05/4.25 ; 1 with value (4 5) 36 with value (4 45) 3 with value (4 84)
% 4.05/4.25 ; 7 with value (4 6) 68 with value (4 46) 8 with value (4 85)
% 4.05/4.25 ; 24 with value (4 7) 224 with value (4 47) 3 with value (4 86)
% 4.05/4.25 ; 14 with value (4 8) 261 with value (4 48) 5 with value (4 87)
% 4.05/4.25 ; 11 with value (4 9) 108 with value (4 49) 13 with value (4 88)
% 4.05/4.25 ; 69 with value (4 10) 71 with value (4 50) 3 with value (4 89)
% 4.05/4.25 ; 36 with value (4 11) 92 with value (4 51) 2 with value (4 90)
% 4.05/4.25 ; 93 with value (4 12) 98 with value (4 52) 1 with value (4 91)
% 4.05/4.25 ; 128 with value (4 13) 88 with value (4 53) 3 with value (4 92)
% 4.05/4.25 ; 262 with value (4 14) 42 with value (4 54) 3 with value (4 93)
% 4.05/4.25 ; 192 with value (4 15) 46 with value (4 55) 1 with value (4 94)
% 4.05/4.25 ; 203 with value (4 16) 26 with value (4 56) 1 with value (4 95)
% 4.05/4.25 ; 151 with value (4 17) 33 with value (4 57) 4 with value (4 96)
% 4.05/4.25 ; 120 with value (4 18) 15 with value (4 58) 6 with value (4 97)
% 4.05/4.25 ; 98 with value (4 19) 13 with value (4 59) 2 with value (4 98)
% 4.05/4.25 ; 125 with value (4 20) 20 with value (4 60) 1 with value (4 99)
% 4.05/4.25 ; 107 with value (4 21) 27 with value (4 61) 3 with value (4 100)
% 4.05/4.25 ; 120 with value (4 22) 31 with value (4 62) 4 with value (4 101)
% 4.05/4.25 ; 128 with value (4 23) 16 with value (4 63) 2 with value (4 102)
% 4.05/4.25 ; 90 with value (4 24) 23 with value (4 64) 5 with value (4 103)
% 4.05/4.25 ; 124 with value (4 25) 26 with value (4 65) 5 with value (4 105)
% 4.05/4.25 ; 108 with value (4 26) 21 with value (4 66) 2 with value (4 106)
% 4.05/4.25 ; 119 with value (4 27) 16 with value (4 67) 4 with value (4 107)
% 4.05/4.25 ; 145 with value (4 28) 25 with value (4 68) 1 with value (4 108)
% 4.05/4.25 ; 135 with value (4 29) 14 with value (4 69) 2 with value (4 109)
% 4.05/4.25 ; 114 with value (4 30) 8 with value (4 70) 1 with value (4 110)
% 4.05/4.25 ; 70 with value (4 31) 24 with value (4 71) 4 with value (4 112)
% 4.05/4.25 ; 73 with value (4 32) 19 with value (4 72) 1 with value (4 113)
% 4.05/4.25 ; 68 with value (4 33) 16 with value (4 73) 2 with value (4 115)
% 4.05/4.25 ; 49 with value (4 34) 5 with value (4 74) 2 with value (4 116)
% 4.05/4.25 ; 67 with value (4 35) 12 with value (4 75) 2 with value (4 118)
% 4.05/4.25 ; 58 with value (4 36) 13 with value (4 76) 3 with value (4 121)
% 4.05/4.25 ; 50 with value (4 37) 10 with value (4 77) 2 with value (4 123)
% 4.05/4.25 ; 54 with value (4 38) 8 with value (4 78) 1 with value (4 125)
% 4.05/4.25 ; 75 with value (4 39) 12 with value (4 79) 2 with value (4 126)
% 4.05/4.25 ; 44 with value (4 40) 3 with value (4 80) 1 with value (4 128)
% 4.05/4.25 ; 45 with value (4 41) 9 with value (4 81) 1 with value (4 134)
% 4.05/4.25 ; 55 with value (4 42) 7 with value (4 82) 1 with value (4 143)
% 4.05/4.25 ; 46 with value (4 43) 7 with value (4 83) 1 with value (4 158)
% 4.05/4.25 ; 38 with value (4 44)
% 4.05/4.25 Evaluation took:
% 4.05/4.25 3.79 seconds of real time
% 4.05/4.25 3.534011 seconds of user run time
% 4.05/4.25 0.254831 seconds of system run time
% 4.05/4.25 [Run times include 0.583 seconds GC run time.]
% 4.05/4.25 0 calls to %EVAL
% 4.05/4.25 0 page faults and
% 4.05/4.25 293,355,808 bytes consed.
% 4.05/4.25 :PROOF-FOUND
% 4.05/4.25 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T14:13:28
% 4.05/4.25 :PROOF-FOUND
% 4.05/4.25 *
%------------------------------------------------------------------------------