TSTP Solution File: SWV291-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SWV291-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n014.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 19:46:16 EDT 2022
% Result : Unsatisfiable 3.50s 0.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV291-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n014.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 07:28:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.50/0.81 % SZS status Unsatisfiable
% 3.50/0.81 % SZS output begin IncompleteProof
% 3.50/0.81 cnf(c0, axiom,
% 3.50/0.81 ~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)).
% 3.50/0.81 cnf(c1, plain,
% 3.50/0.81 ~c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
% 3.50/0.81 inference(start, [], [c0])).
% 3.50/0.81
% 3.50/0.81 cnf(c2, axiom,
% 3.50/0.81 ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) | c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)).
% 3.50/0.81 cnf(a0, assumption,
% 3.50/0.81 c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))))).
% 3.50/0.81 cnf(a1, assumption,
% 3.50/0.81 c_List_Oset(v_evsf,tc_Event_Oevent) = c_List_Oset(v_evsf,tc_Event_Oevent)).
% 3.50/0.81 cnf(a2, assumption,
% 3.50/0.81 tc_Event_Oevent = tc_Event_Oevent).
% 3.50/0.81 cnf(c3, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 3.50/0.81 cnf(c4, plain,
% 3.50/0.81 ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 3.50/0.81
% 3.50/0.81 cnf(c5, axiom,
% 3.50/0.81 c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) | ~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)).
% 3.50/0.81 cnf(a3, assumption,
% 3.50/0.81 c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))) = X0).
% 3.50/0.81 cnf(a4, assumption,
% 3.50/0.81 c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)) = c_Message_Oparts(X1)).
% 3.50/0.81 cnf(a5, assumption,
% 3.50/0.81 tc_Message_Omsg = tc_Message_Omsg).
% 3.50/0.81 cnf(c6, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 3.50/0.81 cnf(c7, plain,
% 3.50/0.81 ~c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 3.50/0.81
% 3.50/0.81 cnf(c8, axiom,
% 3.50/0.81 c_in(c_Message_Omsg_OKey(X2),X3,tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(X2,X4),X3,tc_Message_Omsg) | ~c_in(c_Message_Omsg_OCrypt(X2,X4),c_Message_Osynth(X3),tc_Message_Omsg)).
% 3.50/0.81 cnf(a6, assumption,
% 3.50/0.81 X0 = c_Message_Omsg_OCrypt(X2,X4)).
% 3.50/0.81 cnf(a7, assumption,
% 3.50/0.81 c_Message_Oanalz(X1) = X3).
% 3.50/0.81 cnf(a8, assumption,
% 3.50/0.81 tc_Message_Omsg = tc_Message_Omsg).
% 3.50/0.81 cnf(c9, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 3.50/0.81 cnf(c10, plain,
% 3.50/0.81 c_in(c_Message_Omsg_OKey(X2),X3,tc_Message_Omsg) | ~c_in(c_Message_Omsg_OCrypt(X2,X4),c_Message_Osynth(X3),tc_Message_Omsg),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 3.50/0.81
% 3.50/0.81 cnf(c11, axiom,
% 3.50/0.81 c_in(X5,c_Message_Oparts(X6),tc_Message_Omsg) | ~c_in(X5,c_Message_Oanalz(X6),tc_Message_Omsg)).
% 3.50/0.81 cnf(a9, assumption,
% 3.50/0.81 c_Message_Omsg_OKey(X2) = X5).
% 3.50/0.81 cnf(a10, assumption,
% 3.50/0.81 X3 = c_Message_Oanalz(X6)).
% 3.50/0.81 cnf(a11, assumption,
% 3.50/0.81 tc_Message_Omsg = tc_Message_Omsg).
% 3.50/0.81 cnf(c12, plain,
% 3.50/0.81 ~c_in(c_Message_Omsg_OCrypt(X2,X4),c_Message_Osynth(X3),tc_Message_Omsg),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 3.50/0.81 cnf(c13, plain,
% 3.50/0.81 c_in(X5,c_Message_Oparts(X6),tc_Message_Omsg),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 3.50/0.81
% 3.50/0.81 cnf(c14, axiom,
% 3.50/0.81 c_in(X7,c_Event_Obad,tc_Message_Oagent) | ~c_in(c_Message_Omsg_OKey(c_Public_OshrK(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg) | ~c_in(X8,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))).
% 3.50/0.81 cnf(a12, assumption,
% 3.50/0.81 X5 = c_Message_Omsg_OKey(c_Public_OshrK(X7))).
% 3.50/0.81 cnf(a13, assumption,
% 3.50/0.81 c_Message_Oparts(X6) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8))).
% 3.50/0.81 cnf(a14, assumption,
% 3.50/0.81 tc_Message_Omsg = tc_Message_Omsg).
% 3.50/0.81 cnf(c15, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 3.50/0.81 cnf(c16, plain,
% 3.50/0.81 c_in(X7,c_Event_Obad,tc_Message_Oagent) | ~c_in(X8,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 3.50/0.81
% 3.50/0.81 cnf(c17, axiom,
% 3.50/0.81 ~c_in(v_A,c_Event_Obad,tc_Message_Oagent)).
% 3.50/0.81 cnf(a15, assumption,
% 3.50/0.81 X7 = v_A).
% 3.50/0.81 cnf(a16, assumption,
% 3.50/0.81 c_Event_Obad = c_Event_Obad).
% 3.50/0.81 cnf(a17, assumption,
% 3.50/0.81 tc_Message_Oagent = tc_Message_Oagent).
% 3.50/0.81 cnf(c18, plain,
% 3.50/0.81 ~c_in(X8,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 3.50/0.81 cnf(c19, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 3.50/0.81
% 3.50/0.81 cnf(c20, axiom,
% 3.50/0.81 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))).
% 3.50/0.81 cnf(a18, assumption,
% 3.50/0.81 X8 = v_evsf).
% 3.50/0.81 cnf(a19, assumption,
% 3.50/0.81 c_OtwayRees_Ootway = c_OtwayRees_Ootway).
% 3.50/0.81 cnf(a20, assumption,
% 3.50/0.81 tc_List_Olist(tc_Event_Oevent) = tc_List_Olist(tc_Event_Oevent)).
% 3.50/0.81 cnf(c21, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c20])).
% 3.50/0.81 cnf(c22, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c20])).
% 3.50/0.81
% 3.50/0.81 cnf(c23, axiom,
% 3.50/0.81 c_in(X9,X10,X11) | c_in(X9,X12,X11) | ~c_in(X9,c_union(X10,X12,X11),X11)).
% 3.50/0.81 cnf(a21, assumption,
% 3.50/0.81 c_Message_Omsg_OCrypt(X2,X4) = X9).
% 3.50/0.81 cnf(a22, assumption,
% 3.50/0.81 c_Message_Osynth(X3) = X10).
% 3.50/0.81 cnf(a23, assumption,
% 3.50/0.81 tc_Message_Omsg = X11).
% 3.50/0.81 cnf(c24, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c12, c23])).
% 3.50/0.81 cnf(c25, plain,
% 3.50/0.81 c_in(X9,X12,X11) | ~c_in(X9,c_union(X10,X12,X11),X11),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c12, c23])).
% 3.50/0.81
% 3.50/0.81 cnf(c26, plain,
% 3.50/0.81 ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)).
% 3.50/0.81 cnf(a24, assumption,
% 3.50/0.81 X9 = c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))).
% 3.50/0.81 cnf(a25, assumption,
% 3.50/0.81 X12 = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))).
% 3.50/0.81 cnf(a26, assumption,
% 3.50/0.81 X11 = tc_Message_Omsg).
% 3.50/0.81 cnf(c27, plain,
% 3.50/0.81 ~c_in(X9,c_union(X10,X12,X11),X11),
% 3.50/0.81 inference(predicate_reduction, [assumptions([a24, a25, a26])], [c25, c26])).
% 3.50/0.81
% 3.50/0.81 cnf(c28, axiom,
% 3.50/0.81 c_in(X13,c_union(c_Message_Osynth(c_Message_Oanalz(X14)),c_Message_Oparts(X14),tc_Message_Omsg),tc_Message_Omsg) | ~c_in(X15,c_Message_Osynth(c_Message_Oanalz(X14)),tc_Message_Omsg) | ~c_in(X13,c_Message_Oparts(c_insert(X15,X14,tc_Message_Omsg)),tc_Message_Omsg)).
% 3.50/0.81 cnf(a27, assumption,
% 3.50/0.81 X9 = X13).
% 3.50/0.81 cnf(a28, assumption,
% 3.50/0.81 c_union(X10,X12,X11) = c_union(c_Message_Osynth(c_Message_Oanalz(X14)),c_Message_Oparts(X14),tc_Message_Omsg)).
% 3.50/0.81 cnf(a29, assumption,
% 3.50/0.81 X11 = tc_Message_Omsg).
% 3.50/0.81 cnf(c29, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c27, c28])).
% 3.50/0.81 cnf(c30, plain,
% 3.50/0.81 ~c_in(X15,c_Message_Osynth(c_Message_Oanalz(X14)),tc_Message_Omsg) | ~c_in(X13,c_Message_Oparts(c_insert(X15,X14,tc_Message_Omsg)),tc_Message_Omsg),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c27, c28])).
% 3.50/0.81
% 3.50/0.81 cnf(c31, axiom,
% 3.50/0.81 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)).
% 3.50/0.81 cnf(a30, assumption,
% 3.50/0.81 X15 = v_X).
% 3.50/0.81 cnf(a31, assumption,
% 3.50/0.81 c_Message_Osynth(c_Message_Oanalz(X14)) = c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))).
% 3.50/0.81 cnf(a32, assumption,
% 3.50/0.81 tc_Message_Omsg = tc_Message_Omsg).
% 3.50/0.81 cnf(c32, plain,
% 3.50/0.81 ~c_in(X13,c_Message_Oparts(c_insert(X15,X14,tc_Message_Omsg)),tc_Message_Omsg),
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c30, c31])).
% 3.50/0.81 cnf(c33, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c30, c31])).
% 3.50/0.81
% 3.50/0.81 cnf(c34, axiom,
% 3.50/0.81 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)).
% 3.50/0.81 cnf(a33, assumption,
% 3.50/0.81 X13 = c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))).
% 3.50/0.81 cnf(a34, assumption,
% 3.50/0.81 c_Message_Oparts(c_insert(X15,X14,tc_Message_Omsg)) = c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))).
% 3.50/0.81 cnf(a35, assumption,
% 3.50/0.81 tc_Message_Omsg = tc_Message_Omsg).
% 3.50/0.81 cnf(c35, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c32, c34])).
% 3.50/0.81 cnf(c36, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c32, c34])).
% 3.50/0.81
% 3.50/0.81 cnf(c37, plain,
% 3.50/0.81 $false,
% 3.50/0.81 inference(constraint_solving, [
% 3.50/0.81 bind(X0, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),
% 3.50/0.81 bind(X1, c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),
% 3.50/0.81 bind(X2, c_Public_OshrK(v_A)),
% 3.50/0.81 bind(X3, c_Message_Oanalz(X1)),
% 3.50/0.81 bind(X4, c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),
% 3.50/0.81 bind(X5, c_Message_Omsg_OKey(X2)),
% 3.50/0.81 bind(X6, c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),
% 3.50/0.81 bind(X7, v_A),
% 3.50/0.81 bind(X8, v_evsf),
% 3.50/0.81 bind(X9, c_Message_Omsg_OCrypt(X2,X4)),
% 3.50/0.81 bind(X10, c_Message_Osynth(X3)),
% 3.50/0.81 bind(X11, tc_Message_Omsg),
% 3.50/0.81 bind(X12, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),
% 3.50/0.81 bind(X13, c_Message_Omsg_OCrypt(X2,X4)),
% 3.50/0.81 bind(X14, c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),
% 3.50/0.81 bind(X15, v_X)
% 3.50/0.81 ],
% 3.50/0.81 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35])).
% 3.50/0.81
% 3.50/0.81 % SZS output end IncompleteProof
%------------------------------------------------------------------------------