TSTP Solution File: SWV313-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV313-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n019.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 : 300s
% DateTime : Wed May 29 18:05:08 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV313-2 : TPTP v8.2.0. Released v3.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Sun May 26 22:37:39 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.c3YnQaG70Q/cvc5---1.0.5_2021.smt2
% 0.20/0.52 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.c3YnQaG70Q/cvc5---1.0.5_2021.smt2
% 0.20/0.53 (assume a0 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))
% 0.20/0.53 (assume a1 (not (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))
% 0.20/0.53 (assume a2 (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 0.20/0.53 (assume a3 (not (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 0.20/0.53 (assume a4 (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent)))
% 0.20/0.53 (assume a5 (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg))
% 0.20/0.53 (assume a6 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 0.20/0.53 (assume a7 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 0.20/0.53 (step t1 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t2)
% 0.20/0.53 (assume t2.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 0.20/0.53 (step t2.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OKey tptp.v_K)) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs))))
% 0.20/0.53 (step t2.t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule or :premises (t2.t1))
% 0.20/0.53 (step t2.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule resolution :premises (t2.t2 t2.a0))
% 0.20/0.53 (step t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t2.a0))
% 0.20/0.53 (step t3 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule resolution :premises (t1 t2))
% 0.20/0.53 (step t4 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.53 (step t5 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t3 t4))
% 0.20/0.53 (step t6 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t5))
% 0.20/0.53 (step t7 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule implies :premises (t6))
% 0.20/0.53 (step t8 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.53 (step t9 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t8))
% 0.20/0.53 (step t10 (cl (not (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) :rule or_pos)
% 0.20/0.53 (step t11 (cl (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule reordering :premises (t10))
% 0.20/0.53 (step t12 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies_neg1)
% 0.20/0.53 (anchor :step t13)
% 0.20/0.53 (assume t13.a0 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 0.20/0.53 (step t13.t1 (cl (or (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule forall_inst :args ((:= V_evs tptp.v_evs) (:= V_B tptp.v_B) (:= V_NA tptp.v_NA) (:= V_A tptp.v_A) (:= V_K tptp.v_K) (:= V_NB tptp.v_NB)))
% 0.20/0.53 (step t13.t2 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule or :premises (t13.t1))
% 0.20/0.53 (step t13.t3 (cl (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t13.t2 t13.a0))
% 0.20/0.53 (step t13 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule subproof :discharge (t13.a0))
% 0.20/0.53 (step t14 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t12 t13))
% 0.20/0.53 (step t15 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies_neg2)
% 0.20/0.53 (step t16 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t14 t15))
% 0.20/0.53 (step t17 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule contraction :premises (t16))
% 0.20/0.53 (step t18 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule implies :premises (t17))
% 0.20/0.53 (step t19 (cl (or (not (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t18 a7))
% 0.20/0.53 (step t20 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule resolution :premises (t11 a1 a2 a3 a0 a4 t19))
% 0.20/0.53 (step t21 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t9 a5 t20))
% 0.20/0.53 (step t22 (cl) :rule resolution :premises (t7 t21 a6))
% 0.20/0.53
% 0.20/0.53 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.c3YnQaG70Q/cvc5---1.0.5_2021.smt2
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------