TSTP Solution File: SWV291-2 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SWV291-2 : TPTP v5.0.0. Released v3.2.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art02.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 06:50:27 EST 2010
% Result : Unsatisfiable 0.52s
% Output : Refutation 0.52s
% 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/SystemOnTPTP18675/SWV/SWV291-2+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 = 12] [nf = 0] [nu = 3] [ut = 7]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 462] [nf = 0] [nu = 162] [ut = 135]
% 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_A_0(),c_Event_Obad_0(),tc_Message_Oagent_0())
% B2: 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())
% B4: ~c_in_3(c_Event_Oevent_OSays_3(v_A_0(),v_B_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_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0())
% B5: ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) | c_in_3(c_Event_Oevent_OSays_3(v_A_0(),v_B_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_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0())
% B6: ~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())
% B7: ~c_in_3(x0,c_union_3(x1,x2,x3),x3) | c_in_3(x0,x2,x3) | c_in_3(x0,x1,x3)
% B8: ~c_in_3(c_Message_Omsg_OCrypt_2(x0,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()) | c_in_3(c_Message_Omsg_OKey_1(x0),x2,tc_Message_Omsg_0())
% B9: ~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())
% B10: ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(x1)),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x0)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) | c_in_3(x1,c_Event_Obad_0(),tc_Message_Oagent_0())
% Unit Clauses:
% --------------
% U1: < d0 v0 dv0 f1 c3 t4 td2 b nc > c_in_3(v_evsf_0(),c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0()))
% U3: < d0 v0 dv0 f9 c9 t18 td5 b nc > c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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())
% U4: < d0 v0 dv0 f13 c12 t25 td9 b nc > ~c_in_3(c_Event_Oevent_OSays_3(v_A_0(),v_B_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_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0())
% U5: < d1 v0 dv0 f8 c7 t15 td5 > ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0())
% U113: < d2 v0 dv0 f12 c10 t22 td5 > c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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())
% U135: < d3 v0 dv0 f4 c4 t8 td3 > ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0())
% U136: < d3 v0 dv0 f9 c7 t16 td5 > c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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())
% U1088: < d3 v0 dv0 f4 c4 t8 td3 > c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),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 U1:
% c_in_3(v_evsf_0(),c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) ....... U1
% Derivation of unit clause U3:
% c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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
% Derivation of unit clause U4:
% ~c_in_3(c_Event_Oevent_OSays_3(v_A_0(),v_B_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_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... U4
% Derivation of unit clause U5:
% ~c_in_3(c_Event_Oevent_OSays_3(v_A_0(),v_B_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_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... B4
% ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) | c_in_3(c_Event_Oevent_OSays_3(v_A_0(),v_B_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_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... B5
% ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()) ....... R1 [B4:L0, B5:L1]
% Derivation of unit clause U113:
% 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()) ....... B2
% ~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()) ....... B9
% ~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 [B2:L0, B9:L0]
% c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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
% c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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, U3:L0]
% Derivation of unit clause U135:
% ~c_in_3(v_A_0(),c_Event_Obad_0(),tc_Message_Oagent_0()) ....... B0
% ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(x1)),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),x0)),tc_Message_Omsg_0()) | ~c_in_3(x0,c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) | c_in_3(x1,c_Event_Obad_0(),tc_Message_Oagent_0()) ....... B10
% ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), x0)), tc_Message_Omsg_0()) | ~c_in_3(x0, c_OtwayRees_Ootway_0(), tc_List_Olist_1(tc_Event_Oevent_0())) ....... R1 [B0:L0, B10:L2]
% ~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()) ....... B6
% ~c_in_3(x0, c_OtwayRees_Ootway_0(), tc_List_Olist_1(tc_Event_Oevent_0())) | ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), x0)), tc_Message_Omsg_0()) ....... R2 [R1:L0, B6:L1]
% c_in_3(v_evsf_0(),c_OtwayRees_Ootway_0(),tc_List_Olist_1(tc_Event_Oevent_0())) ....... U1
% ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()) ....... R3 [R2:L0, U1:L0]
% Derivation of unit clause U136:
% ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) | c_in_3(c_Event_Oevent_OSays_3(v_A_0(),v_B_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_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... B5
% ~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_Event_Oevent_OSays_3(v_A_0(), v_B_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_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))))))), c_List_Oset_2(v_evsf_0(), tc_Event_Oevent_0()), tc_Event_Oevent_0()) | ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))), x0, tc_Message_Omsg_0()) ....... R1 [B5:L0, B7:L1]
% ~c_in_3(c_Event_Oevent_OSays_3(v_A_0(),v_B_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_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))))))),c_List_Oset_2(v_evsf_0(),tc_Event_Oevent_0()),tc_Event_Oevent_0()) ....... U4
% ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))), x0, tc_Message_Omsg_0()) ....... R2 [R1:L0, U4:L0]
% c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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()) ....... U113
% c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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, U113:L0]
% Derivation of unit clause U1088:
% ~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()) ....... B6
% ~c_in_3(c_Message_Omsg_OCrypt_2(x0,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()) | c_in_3(c_Message_Omsg_OKey_1(x0),x2,tc_Message_Omsg_0()) ....... B8
% 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(c_Message_Omsg_OKey_1(x0), c_Message_Oanalz_1(x2), tc_Message_Omsg_0()) ....... R1 [B6:L0, B8:L1]
% ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_0())))),c_Message_Oparts_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... U5
% ~c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()) ....... R2 [R1:L0, U5:L0]
% c_in_3(c_Message_Omsg_OCrypt_2(c_Public_OshrK_1(v_A_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_OAgent_1(v_B_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()) ....... U136
% c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())), c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(), v_evsf_0())), tc_Message_Omsg_0()) ....... R3 [R2:L0, U136:L0]
% Derivation of the empty clause:
% c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... U1088
% ~c_in_3(c_Message_Omsg_OKey_1(c_Public_OshrK_1(v_A_0())),c_Message_Oanalz_1(c_Event_Oknows_2(c_Message_Oagent_OSpy_0(),v_evsf_0())),tc_Message_Omsg_0()) ....... U135
% [] ....... R1 [U1088:L0, U135:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 6068
% resolvents: 6068 factors: 0
% Number of unit clauses generated: 3172
% % unit clauses generated to total clauses generated: 52.27
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 5 [1] = 2 [2] = 128 [3] = 954
% Total = 1089
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 3172 [2] = 2840 [3] = 56
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] c_in_3 (+)6 (-)1083
% ------------------
% Total: (+)6 (-)1083
% Total number of unit clauses retained: 1089
% Number of clauses skipped because of their length: 5618
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 6080
% Number of unification failures: 8582
% Number of unit to unit unification failures: 5546
% N literal unification failure due to lookup root_id table: 1205923
% N base clause resolution failure due to lookup table: 1483
% N UC-BCL resolution dropped due to lookup table: 117
% Max entries in substitution set: 7
% N unit clauses dropped because they exceeded max values: 1819
% N unit clauses dropped because too much nesting: 15
% 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: 63
% Max term depth in a unit clause: 15
% Number of states in UCFA table: 22553
% Total number of terms of all unit clauses in table: 54655
% 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: 0.41
% Number of symbols (columns) in UCFA: 60
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 14662
% ConstructUnitClause() = 2903
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.01 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.51 secs
%
%------------------------------------------------------------------------------