TSTP Solution File: SWV309-2 by CARINE---0.734

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CARINE---0.734
% Problem  : SWV309-2 : 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 06:55:46 EST 2010

% Result   : Unsatisfiable 0.40s
% Output   : Refutation 0.40s
% 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/SystemOnTPTP17687/SWV/SWV309-2+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 ...
% +================================================+
% |                                                |
% | Congratulations!!! ........ A proof was found. |
% |                                                |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~c_in_3(c_Event_Oevent_OSays_3(v_B_0(),c_Message_Oagent_OServer_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OMPair_2(x0,c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OAgent_1(v_B_0())))))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0())
% B2: ~c_in_3(c_Event_Oevent_OSays_3(c_Message_Oagent_OServer_0(),v_B_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OKey_1(v_K_0())))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) | c_in_3(c_Event_Oevent_OSays_3(v_B_0(),c_Message_Oagent_OServer_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OMPair_2(v_x_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OAgent_1(v_B_0())))))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0())
% Unit Clauses:
% --------------
% U1: < d0 v0 dv0 f12 c12 t24 td7 b nc > c_in_3(c_Event_Oevent_OSays_3(c_Message_Oagent_OServer_0(),v_B_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OKey_1(v_K_0())))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0())
% U2: < d1 v0 dv0 f12 c12 t24 td7 > ~c_in_3(c_Event_Oevent_OSays_3(c_Message_Oagent_OServer_0(),v_B_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OKey_1(v_K_0())))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% c_in_3(c_Event_Oevent_OSays_3(c_Message_Oagent_OServer_0(),v_B_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OKey_1(v_K_0())))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... U1
% Derivation of unit clause U2:
% ~c_in_3(c_Event_Oevent_OSays_3(v_B_0(),c_Message_Oagent_OServer_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OMPair_2(x0,c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OAgent_1(v_B_0())))))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... B0
% ~c_in_3(c_Event_Oevent_OSays_3(c_Message_Oagent_OServer_0(),v_B_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OKey_1(v_K_0())))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) | c_in_3(c_Event_Oevent_OSays_3(v_B_0(),c_Message_Oagent_OServer_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_B_0()),c_Message_Omsg_OMPair_2(v_x_0(),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OAgent_1(v_A_0()),c_Message_Omsg_OAgent_1(v_B_0())))))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... B2
%  ~c_in_3(c_Event_Oevent_OSays_3(c_Message_Oagent_OServer_0(), v_B_0(), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OMPair_2(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()), c_Message_Omsg_OMPair_2(v_NA_0(), c_Message_Omsg_OKey_1(v_K_0()))), c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()), c_Message_Omsg_OMPair_2(v_NB_0(), c_Message_Omsg_OKey_1(v_K_0())))))), c_List_Oset_2(v_evsf_0(), tc_Event_Oevent_0()), tc_Event_Oevent_0()) ....... R1 [B0:L0, B2:L1]
% Derivation of the empty clause:
% ~c_in_3(c_Event_Oevent_OSays_3(c_Message_Oagent_OServer_0(),v_B_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OKey_1(v_K_0())))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... U2
% c_in_3(c_Event_Oevent_OSays_3(c_Message_Oagent_OServer_0(),v_B_0(),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OMPair_2(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_0()),c_Message_Omsg_OMPair_2(v_NA_0(),c_Message_Omsg_OKey_1(v_K_0()))),c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_B_0()),c_Message_Omsg_OMPair_2(v_NB_0(),c_Message_Omsg_OKey_1(v_K_0())))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... U1
%  [] ....... R1 [U2:L0, U1:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% |                Statistics                 |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 1
% 	resolvents: 1	factors: 0
% Number of unit clauses generated: 1
% % unit clauses generated to total clauses generated: 100.00
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 2		[1] = 1		
% Total = 3
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 1	
% Average size of a generated clause: 1.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] c_in_3		(+)1	(-)2
% 			------------------
% 		Total:	(+)1	(-)2
% Total number of unit clauses retained: 3
% Number of clauses skipped because of their length: 0
% N base clauses skippped in resolve-with-all-base-clauses
% 	because of the shortest resolvents table: 0
% Number of successful unifications: 2
% Number of unification failures: 0
% Number of unit to unit unification failures: 1
% N literal unification failure due to lookup root_id table: 1
% N base clause resolution failure due to lookup table: 0
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 0
% N unit clauses dropped because they exceeded max values: 0
% 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: 29
% Max term depth in a unit clause: 11
% Number of states in UCFA table: 78
% Total number of terms of all unit clauses in table: 77
% 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: 1.01
% Number of symbols (columns) in UCFA: 51
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 2
% ConstructUnitClause() = 1
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% |                                                      |
%   Inferences per sec: inf
% |                                                      |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.39 secs
% 
%------------------------------------------------------------------------------