TSTP Solution File: SWV331-2 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SWV331-2 : TPTP v5.0.0. Released v3.2.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Nov 28 07:02:14 EST 2010
% Result : Unsatisfiable 0.41s
% Output : Refutation 0.41s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Command entered:
% /home/graph/tptp/Systems/CARINE---0.734/carine /tmp/SystemOnTPTP19614/SWV/SWV331-2+noeq.car t=300 xo=off uct=32000
% CARINE version 0.734 (Dec 2003)
% Initializing tables ... done.
% Parsing ...... done.
% Calculating time slices ... done.
% Building Lookup Tables ... done.
% Looking for a proof at depth = 1 ...
% t = 1 secs [nr = 2] [nf = 0] [nu = 0] [ut = 4]
% Looking for a proof at depth = 2 ...
% t = 1 secs [nr = 11] [nf = 0] [nu = 2] [ut = 5]
% Looking for a proof at depth = 3 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: c_in_3(v_K_0(),c_Message_OsymKeys_0(),tc_nat_0())
% B4: ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),x2,tc_Message_Omsg_0()) | ~c_in_3(x0,c_Message_OsymKeys_0(),tc_nat_0()) | c_in_3(x0,c_Message_OkeysFor_1(x2),tc_nat_0())
% B5: ~c_in_3(x1,c_Yahalom_Oyahalom_0(),tc_List_Olist_1(tc_Event_Oevent_0())) | ~c_in_3(x0,c_Message_OsymKeys_0(),tc_nat_0()) | ~c_in_3(x0,c_Message_OkeysFor_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x1))),tc_nat_0()) | c_in_3(c_Message_Omsg_OKey_1(x0),c_Event_Oused_1(x1),tc_Message_Omsg_0())
% Unit Clauses:
% --------------
% U1: < d0 v0 dv0 f1 c3 t4 td2 b nc > c_in_3(v_evs3_0(),c_Yahalom_Oyahalom_0(),tc_List_Olist_1(tc_Event_Oevent_0()))
% U2: < d0 v0 dv0 f2 c3 t5 td2 b nc > ~c_in_3(c_Message_Omsg_OKey_1(v_K_0()),c_Event_Oused_1(v_evs3_0()),tc_Message_Omsg_0())
% U3: < d0 v0 dv0 f4 c5 t9 td3 b nc > c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs3_0())),tc_Message_Omsg_0())
% U4: < d2 v0 dv0 f3 c4 t7 td4 > c_in_3(v_K_0(),c_Message_OkeysFor_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs3_0()))),tc_nat_0())
% U5: < d3 v0 dv0 f2 c3 t5 td2 > c_in_3(c_Message_Omsg_OKey_1(v_K_0()),c_Event_Oused_1(v_evs3_0()),tc_Message_Omsg_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% c_in_3(v_evs3_0(),c_Yahalom_Oyahalom_0(),tc_List_Olist_1(tc_Event_Oevent_0())) ....... U1
% Derivation of unit clause U2:
% ~c_in_3(c_Message_Omsg_OKey_1(v_K_0()),c_Event_Oused_1(v_evs3_0()),tc_Message_Omsg_0()) ....... U2
% Derivation of unit clause U3:
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs3_0())),tc_Message_Omsg_0()) ....... U3
% Derivation of unit clause U4:
% c_in_3(v_K_0(),c_Message_OsymKeys_0(),tc_nat_0()) ....... B0
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),x2,tc_Message_Omsg_0()) | ~c_in_3(x0,c_Message_OsymKeys_0(),tc_nat_0()) | c_in_3(x0,c_Message_OkeysFor_1(x2),tc_nat_0()) ....... B4
% ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), x0), x1, tc_Message_Omsg_0()) | c_in_3(v_K_0(), c_Message_OkeysFor_1(x1), tc_nat_0()) ....... R1 [B0:L0, B4:L1]
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs3_0())),tc_Message_Omsg_0()) ....... U3
% c_in_3(v_K_0(), c_Message_OkeysFor_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs3_0()))), tc_nat_0()) ....... R2 [R1:L0, U3:L0]
% Derivation of unit clause U5:
% c_in_3(v_K_0(),c_Message_OsymKeys_0(),tc_nat_0()) ....... B0
% ~c_in_3(x1,c_Yahalom_Oyahalom_0(),tc_List_Olist_1(tc_Event_Oevent_0())) | ~c_in_3(x0,c_Message_OsymKeys_0(),tc_nat_0()) | ~c_in_3(x0,c_Message_OkeysFor_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x1))),tc_nat_0()) | c_in_3(c_Message_Omsg_OKey_1(x0),c_Event_Oused_1(x1),tc_Message_Omsg_0()) ....... B5
% ~c_in_3(x0, c_Yahalom_Oyahalom_0(), tc_List_Olist_1(tc_Event_Oevent_0())) | ~c_in_3(v_K_0(), c_Message_OkeysFor_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), x0))), tc_nat_0()) | c_in_3(c_Message_Omsg_OKey_1(v_K_0()), c_Event_Oused_1(x0), tc_Message_Omsg_0()) ....... R1 [B0:L0, B5:L1]
% c_in_3(v_evs3_0(),c_Yahalom_Oyahalom_0(),tc_List_Olist_1(tc_Event_Oevent_0())) ....... U1
% ~c_in_3(v_K_0(), c_Message_OkeysFor_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evs3_0()))), tc_nat_0()) | c_in_3(c_Message_Omsg_OKey_1(v_K_0()), c_Event_Oused_1(v_evs3_0()), tc_Message_Omsg_0()) ....... R2 [R1:L0, U1:L0]
% c_in_3(v_K_0(),c_Message_OkeysFor_1(c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evs3_0()))),tc_nat_0()) ....... U4
% c_in_3(c_Message_Omsg_OKey_1(v_K_0()), c_Event_Oused_1(v_evs3_0()), tc_Message_Omsg_0()) ....... R3 [R2:L0, U4:L0]
% Derivation of the empty clause:
% c_in_3(c_Message_Omsg_OKey_1(v_K_0()),c_Event_Oused_1(v_evs3_0()),tc_Message_Omsg_0()) ....... U5
% ~c_in_3(c_Message_Omsg_OKey_1(v_K_0()),c_Event_Oused_1(v_evs3_0()),tc_Message_Omsg_0()) ....... U2
% [] ....... R1 [U5:L0, U2:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 16
% resolvents: 16 factors: 0
% Number of unit clauses generated: 4
% % unit clauses generated to total clauses generated: 25.00
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 4 [2] = 1 [3] = 1
% Total = 6
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 4 [2] = 8 [3] = 4
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] c_in_3 (+)5 (-)1
% ------------------
% Total: (+)5 (-)1
% Total number of unit clauses retained: 6
% Number of clauses skipped because of their length: 9
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 21
% Number of unification failures: 0
% Number of unit to unit unification failures: 4
% N literal unification failure due to lookup root_id table: 57
% N base clause resolution failure due to lookup table: 6
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 3
% N unit clauses dropped because they exceeded max values: 1
% N unit clauses dropped because too much nesting: 0
% N unit clauses not constrcuted because table was full: 0
% N unit clauses dropped because UCFA table was full: 0
% Max number of terms in a unit clause: 9
% Max term depth in a unit clause: 4
% Number of states in UCFA table: 31
% Total number of terms of all unit clauses in table: 33
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.94
% Number of symbols (columns) in UCFA: 52
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 21
% ConstructUnitClause() = 3
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.39 secs
%
%------------------------------------------------------------------------------