TSTP Solution File: SWV335-2 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SWV335-2 : TPTP v5.0.0. Released v3.2.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Nov 28 07:02:26 EST 2010
% Result : Unsatisfiable 0.48s
% Output : Refutation 0.48s
% 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/SystemOnTPTP20354/SWV/SWV335-2+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 = 0 secs [nr = 21] [nf = 0] [nu = 11] [ut = 12]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 1354] [nf = 0] [nu = 700] [ut = 240]
% 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_X_0(),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0())
% B1: ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0())
% B3: ~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_evsf_0())),tc_Message_Omsg_0())
% B4: ~c_in_3(x0,c_Message_Oanalz_1(x1),tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Oparts_1(x1),tc_Message_Omsg_0())
% B5: ~c_in_3(c_Message_Omsg_ONonce_1(x0),c_Message_Osynth_1(x1),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_ONonce_1(x0),x1,tc_Message_Omsg_0())
% B6: ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3)
% B7: ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),x2,tc_Message_Omsg_0())
% B8: ~c_in_3(x1,c_Message_Osynth_1(c_Message_Oanalz_1(x2)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_Message_Oparts_1(c_insert_3(x1,x2,tc_Message_Omsg_0())),tc_Message_Omsg_0()) | c_in_3(x0,c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(x2)),c_Message_Oparts_1(x2),tc_Message_Omsg_0()),tc_Message_Omsg_0())
% Unit Clauses:
% --------------
% U2: < d0 v0 dv0 f5 c7 t12 td4 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_insert_3(v_X_0(),c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()),tc_Message_Omsg_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_evsf_0())),tc_Message_Omsg_0())
% U4: < d1 v0 dv0 f4 c4 t8 td4 > ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0())
% U12: < d2 v0 dv0 f8 c8 t16 td5 > c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()),tc_Message_Omsg_0())
% U118: < d2 v0 dv0 f5 c5 t10 td4 > c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0())
% U1142: < d3 v0 dv0 f4 c4 t8 td4 > c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oparts_1(c_insert_3(v_X_0(),c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()),tc_Message_Omsg_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_evsf_0())),tc_Message_Omsg_0()) ....... U3
% Derivation of unit clause U4:
% ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... B1
% ~c_in_3(c_Message_Omsg_ONonce_1(x0),c_Message_Osynth_1(x1),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_ONonce_1(x0),x1,tc_Message_Omsg_0()) ....... B5
% ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), tc_Message_Omsg_0()) ....... R1 [B1:L0, B5:L1]
% Derivation of unit clause U12:
% c_in_3(v_X_0(),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0()) ....... B0
% ~c_in_3(x1,c_Message_Osynth_1(c_Message_Oanalz_1(x2)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_Message_Oparts_1(c_insert_3(x1,x2,tc_Message_Omsg_0())),tc_Message_Omsg_0()) | c_in_3(x0,c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(x2)),c_Message_Oparts_1(x2),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... B8
% ~c_in_3(x0, c_Message_Oparts_1(c_insert_3(v_X_0(), c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()), tc_Message_Omsg_0())), tc_Message_Omsg_0()) | c_in_3(x0, c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) ....... R1 [B0:L0, B8:L0]
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Oparts_1(c_insert_3(v_X_0(),c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()),tc_Message_Omsg_0())),tc_Message_Omsg_0()) ....... U2
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_0())), c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) ....... R2 [R1:L0, U2:L0]
% Derivation of unit clause U118:
% ~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_evsf_0())),tc_Message_Omsg_0()) ....... B3
% ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3) ....... B6
% ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_0())), c_union_3(x0, c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_0())), x0, tc_Message_Omsg_0()) ....... R1 [B3:L0, B6:L1]
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_union_3(c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()),tc_Message_Omsg_0()) ....... U12
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_0())), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), tc_Message_Omsg_0()) ....... R2 [R1:L0, U12:L0]
% Derivation of unit clause U1142:
% ~c_in_3(x0,c_Message_Oanalz_1(x1),tc_Message_Omsg_0()) | c_in_3(x0,c_Message_Oparts_1(x1),tc_Message_Omsg_0()) ....... B4
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(x1,c_Message_Osynth_1(x2),tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_OCrypt_2(x0,x1),x2,tc_Message_Omsg_0()) ....... B7
% c_in_3(c_Message_Omsg_OCrypt_2(x0, x1), c_Message_Oparts_1(x2), tc_Message_Omsg_0()) | ~c_in_3(c_Message_Omsg_OCrypt_2(x0, x1), c_Message_Osynth_1(c_Message_Oanalz_1(x2)), tc_Message_Omsg_0()) | c_in_3(x1, c_Message_Osynth_1(c_Message_Oanalz_1(x2)), tc_Message_Omsg_0()) ....... R1 [B4:L0, B7:L2]
% ~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_evsf_0())),tc_Message_Omsg_0()) ....... U3
% ~c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(), c_Message_Omsg_ONonce_1(v_NB_0())), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), tc_Message_Omsg_0()) | c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), tc_Message_Omsg_0()) ....... R2 [R1:L0, U3:L0]
% c_in_3(c_Message_Omsg_OCrypt_2(v_K_0(),c_Message_Omsg_ONonce_1(v_NB_0())),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0()) ....... U118
% c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()), c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0()))), tc_Message_Omsg_0()) ....... R3 [R2:L0, U118:L0]
% Derivation of the empty clause:
% c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0()) ....... U1142
% ~c_in_3(c_Message_Omsg_ONonce_1(v_NB_0()),c_Message_Osynth_1(c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0()))),tc_Message_Omsg_0()) ....... U4
% [] ....... R1 [U1142:L0, U4:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 8387
% resolvents: 8387 factors: 0
% Number of unit clauses generated: 4486
% % unit clauses generated to total clauses generated: 53.49
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 4 [1] = 8 [2] = 228 [3] = 903
% Total = 1143
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 4486 [2] = 3841 [3] = 60
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] c_in_3 (+)5 (-)1138
% ------------------
% Total: (+)5 (-)1138
% Total number of unit clauses retained: 1143
% Number of clauses skipped because of their length: 5976
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 8395
% Number of unification failures: 11222
% Number of unit to unit unification failures: 4554
% N literal unification failure due to lookup root_id table: 1969332
% N base clause resolution failure due to lookup table: 2001
% N UC-BCL resolution dropped due to lookup table: 165
% Max entries in substitution set: 7
% N unit clauses dropped because they exceeded max values: 2578
% N unit clauses dropped because too much nesting: 2013
% 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: 51
% Max term depth in a unit clause: 10
% Number of states in UCFA table: 19780
% Total number of terms of all unit clauses in table: 41305
% Max allowed number of states in UCFA: 528000
% Ratio n states used/total allowed states: 0.04
% Ratio n states used/total unit clauses terms: 0.48
% Number of symbols (columns) in UCFA: 49
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 19617
% ConstructUnitClause() = 3717
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.46 secs
%
%------------------------------------------------------------------------------