%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SWV302-2 : 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 : n016.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 19:46:19 EDT 2022 % Result : Unsatisfiable 0.13s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV302-2 : TPTP v8.1.0. Released v3.2.0. % 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n016.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 14 18:22:31 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.35 % SZS status Unsatisfiable % 0.13/0.35 % SZS output begin IncompleteProof % 0.13/0.35 cnf(c0, axiom, % 0.13/0.35 v_NB = c_Message_Omsg_ONonce(v_NBa) | c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)). % 0.13/0.35 cnf(c1, plain, % 0.13/0.35 v_NB = c_Message_Omsg_ONonce(v_NBa) | c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent), % 0.13/0.35 inference(start, [], [c0])). % 0.13/0.35 % 0.13/0.35 cnf(c2, axiom, % 0.13/0.35 ~c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg)). % 0.13/0.35 cnf(a0, assumption, % 0.13/0.35 c_Message_Omsg_ONonce(v_NBa) = c_Message_Omsg_ONonce(v_NBa)). % 0.13/0.35 cnf(a1, assumption, % 0.13/0.35 v_NB = X0). % 0.13/0.35 cnf(c3, plain, % 0.13/0.35 c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent), % 0.13/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.13/0.35 cnf(c4, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.13/0.35 cnf(c5, plain, % 0.13/0.35 ~c_in(X0,c_Event_Oused(v_evs2),tc_Message_Omsg), % 0.13/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.13/0.35 % 0.13/0.35 cnf(c6, axiom, % 0.13/0.35 c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) | ~c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)). % 0.13/0.35 cnf(a2, assumption, % 0.13/0.35 X0 = X1). % 0.13/0.35 cnf(a3, assumption, % 0.13/0.35 c_Event_Oused(v_evs2) = c_Event_Oused(X2)). % 0.13/0.35 cnf(a4, assumption, % 0.13/0.35 tc_Message_Omsg = tc_Message_Omsg). % 0.13/0.35 cnf(c7, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c5, c6])). % 0.13/0.35 cnf(c8, plain, % 0.13/0.35 ~c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c5, c6])). % 0.13/0.35 % 0.13/0.35 cnf(c9, axiom, % 0.13/0.35 c_in(X3,c_Message_Oparts(X4),tc_Message_Omsg) | ~c_in(c_Message_Omsg_OMPair(X3,X5),c_Message_Oparts(X4),tc_Message_Omsg)). % 0.13/0.35 cnf(a5, assumption, % 0.13/0.35 X1 = X3). % 0.13/0.35 cnf(a6, assumption, % 0.13/0.35 c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)) = c_Message_Oparts(X4)). % 0.13/0.35 cnf(a7, assumption, % 0.13/0.35 tc_Message_Omsg = tc_Message_Omsg). % 0.13/0.35 cnf(c10, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c8, c9])). % 0.13/0.35 cnf(c11, plain, % 0.13/0.35 ~c_in(c_Message_Omsg_OMPair(X3,X5),c_Message_Oparts(X4),tc_Message_Omsg), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c8, c9])). % 0.13/0.35 % 0.13/0.35 cnf(c12, axiom, % 0.13/0.35 c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg) | ~c_in(c_Message_Omsg_OCrypt(X8,X6),c_Message_Oparts(X7),tc_Message_Omsg)). % 0.13/0.35 cnf(a8, assumption, % 0.13/0.35 c_Message_Omsg_OMPair(X3,X5) = X6). % 0.13/0.35 cnf(a9, assumption, % 0.13/0.35 c_Message_Oparts(X4) = c_Message_Oparts(X7)). % 0.13/0.35 cnf(a10, assumption, % 0.13/0.35 tc_Message_Omsg = tc_Message_Omsg). % 0.13/0.35 cnf(c13, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c11, c12])). % 0.13/0.35 cnf(c14, plain, % 0.13/0.35 ~c_in(c_Message_Omsg_OCrypt(X8,X6),c_Message_Oparts(X7),tc_Message_Omsg), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c11, c12])). % 0.13/0.35 % 0.13/0.35 cnf(c15, axiom, % 0.13/0.35 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)). % 0.13/0.35 cnf(a11, assumption, % 0.13/0.35 c_Message_Omsg_OCrypt(X8,X6) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))). % 0.13/0.35 cnf(a12, assumption, % 0.13/0.35 c_Message_Oparts(X7) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))). % 0.13/0.35 cnf(a13, assumption, % 0.13/0.35 tc_Message_Omsg = tc_Message_Omsg). % 0.13/0.35 cnf(c16, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c14, c15])). % 0.13/0.35 cnf(c17, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c14, c15])). % 0.13/0.35 % 0.13/0.35 cnf(c18, axiom, % 0.13/0.35 ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) | ~c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)). % 0.13/0.35 cnf(a14, assumption, % 0.13/0.35 c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))) = c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))))))). % 0.13/0.35 cnf(a15, assumption, % 0.13/0.35 c_List_Oset(v_evs2,tc_Event_Oevent) = c_List_Oset(v_evs2,tc_Event_Oevent)). % 0.13/0.35 cnf(a16, assumption, % 0.13/0.35 tc_Event_Oevent = tc_Event_Oevent). % 0.13/0.35 cnf(c19, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c3, c18])). % 0.13/0.35 cnf(c20, plain, % 0.13/0.35 ~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c3, c18])). % 0.13/0.35 % 0.13/0.35 cnf(c21, plain, % 0.13/0.35 c_in(c_Message_Omsg_OCrypt(X8,X6),c_Message_Oparts(X7),tc_Message_Omsg)). % 0.13/0.35 cnf(a17, assumption, % 0.13/0.35 c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))) = c_Message_Omsg_OCrypt(X8,X6)). % 0.13/0.35 cnf(a18, assumption, % 0.13/0.35 c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)) = c_Message_Oparts(X7)). % 0.13/0.35 cnf(a19, assumption, % 0.13/0.35 tc_Message_Omsg = tc_Message_Omsg). % 0.13/0.35 cnf(c22, plain, % 0.13/0.35 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent), % 0.13/0.35 inference(predicate_reduction, [assumptions([a17, a18, a19])], [c20, c21])). % 0.13/0.35 % 0.13/0.35 cnf(c23, axiom, % 0.13/0.35 ~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)). % 0.13/0.35 cnf(a20, assumption, % 0.13/0.35 c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))) = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))))))). % 0.13/0.35 cnf(a21, assumption, % 0.13/0.35 c_List_Oset(v_evs2,tc_Event_Oevent) = c_List_Oset(v_evs2,tc_Event_Oevent)). % 0.13/0.35 cnf(a22, assumption, % 0.13/0.35 tc_Event_Oevent = tc_Event_Oevent). % 0.13/0.35 cnf(c24, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c22, c23])). % 0.13/0.35 cnf(c25, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c22, c23])). % 0.13/0.35 % 0.13/0.35 cnf(c26, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(constraint_solving, [ % 0.13/0.35 bind(X0, v_NB), % 0.13/0.35 bind(X1, v_NB), % 0.13/0.35 bind(X2, v_evs2), % 0.13/0.35 bind(X3, v_NB), % 0.13/0.35 bind(X4, c_Event_Oknows(c_Message_Oagent_OSpy,X2)), % 0.13/0.35 bind(X5, c_Message_Omsg_OKey(v_K)), % 0.13/0.35 bind(X6, c_Message_Omsg_OMPair(X3,X5)), % 0.13/0.35 bind(X7, c_Event_Oknows(c_Message_Oagent_OSpy,X2)), % 0.13/0.35 bind(X8, c_Public_OshrK(v_B)), % 0.13/0.35 bind(X9, v_x) % 0.13/0.35 ], % 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22])). % 0.13/0.35 % 0.13/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------