TSTP Solution File: SWV318-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV318-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n018.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 18:05:10 EDT 2024
% Result : Unsatisfiable 0.20s 0.57s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV318-2 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 26 22:34:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----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...
% 0.20/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.Ch1XRO2vZv/cvc5---1.0.5_5625.smt2
% 0.20/0.57 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.Ch1XRO2vZv/cvc5---1.0.5_5625.smt2
% 0.20/0.59 (assume a0 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 0.20/0.59 (assume a1 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.20/0.59 (assume a2 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.20/0.59 (assume a3 (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_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.20/0.59 (assume a4 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))
% 0.20/0.59 (assume a5 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H)))))
% 0.20/0.59 (assume a6 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$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_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 0.20/0.59 (assume a7 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 0.20/0.59 (assume a8 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a))))
% 0.20/0.59 (assume a9 (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent)))
% 0.20/0.59 (assume a10 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))
% 0.20/0.59 (assume a11 (or (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))))
% 0.20/0.59 (assume a12 (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 0.20/0.59 (assume a13 (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 0.20/0.59 (step t1 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.59 (anchor :step t2)
% 0.20/0.59 (assume t2.a0 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 0.20/0.59 (step t2.t1 (cl (or (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_A tptp.v_A) (:= V_evs tptp.v_evs4)))
% 0.20/0.59 (step t2.t2 (cl (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) :rule or :premises (t2.t1))
% 0.20/0.59 (step t2.t3 (cl (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) :rule resolution :premises (t2.t2 t2.a0))
% 0.20/0.59 (step t2 (cl (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) :rule subproof :discharge (t2.a0))
% 0.20/0.59 (step t3 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) :rule resolution :premises (t1 t2))
% 0.20/0.59 (step t4 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.59 (step t5 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule resolution :premises (t3 t4))
% 0.20/0.59 (step t6 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule contraction :premises (t5))
% 0.20/0.59 (step t7 (cl (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) :rule implies :premises (t6))
% 0.20/0.59 (step t8 (cl (not (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.59 (step t9 (cl (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule reordering :premises (t8))
% 0.20/0.59 (step t10 (cl (not (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))) (not (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule equiv_pos2)
% 0.20/0.59 (step t11 (cl (= (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) true) (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.20/0.59 (step t12 (cl (not (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) true)) (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule equiv1 :premises (t11))
% 0.20/0.59 (step t13 (cl (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))))) :rule all_simplify)
% 0.20/0.59 (step t14 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule refl)
% 0.20/0.59 (step t15 (cl (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule all_simplify)
% 0.20/0.59 (step t16 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule cong :premises (t14 t15))
% 0.20/0.59 (step t17 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) true)) :rule all_simplify)
% 0.20/0.59 (step t18 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) true)) :rule trans :premises (t16 t17))
% 0.20/0.59 (step t19 (cl (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) true)) :rule trans :premises (t13 t18))
% 0.20/0.59 (step t20 (cl (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t12 t19))
% 0.20/0.59 (step t21 (cl (= (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))))) :rule refl)
% 0.20/0.59 (step t22 (cl (= (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))))) :rule refl)
% 0.20/0.59 (step t23 (cl (= (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule refl)
% 0.20/0.59 (step t24 (cl (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))) :rule cong :premises (t20 t21 t22 t23))
% 0.20/0.59 (step t25 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule and_neg)
% 0.20/0.59 (step t26 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule implies_neg1)
% 0.20/0.59 (anchor :step t27)
% 0.20/0.59 (assume t27.a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))
% 0.20/0.59 (assume t27.a1 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))
% 0.20/0.59 (assume t27.a2 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.20/0.59 (step t27.t1 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 0.20/0.59 (anchor :step t27.t2)
% 0.20/0.59 (assume t27.t2.a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))
% 0.20/0.59 (assume t27.t2.a1 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.20/0.59 (assume t27.t2.a2 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))
% 0.20/0.59 (step t27.t2.t1 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.20/0.59 (step t27.t2.t2 (cl (not (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule equiv1 :premises (t27.t2.t1))
% 0.20/0.59 (step t27.t2.t3 (cl (= (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)))) :rule refl)
% 0.20/0.59 (step t27.t2.t4 (cl (= (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) :rule symm :premises (t27.t2.a2))
% 0.20/0.59 (step t27.t2.t5 (cl (= (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule trans :premises (t27.t2.t4 t27.t2.a1))
% 0.20/0.59 (step t27.t2.t6 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 0.20/0.59 (step t27.t2.t7 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule cong :premises (t27.t2.t3 t27.t2.t5 t27.t2.t6))
% 0.20/0.59 (step t27.t2.t8 (cl (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) :rule symm :premises (t27.t2.a1))
% 0.20/0.59 (step t27.t2.t9 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule cong :premises (t27.t2.t3 t27.t2.t8 t27.t2.t6))
% 0.20/0.59 (step t27.t2.t10 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) false) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.20/0.59 (step t27.t2.t11 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) false) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule equiv2 :premises (t27.t2.t10))
% 0.20/0.59 (step t27.t2.t12 (cl (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule not_not)
% 0.20/0.59 (step t27.t2.t13 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) false) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t27.t2.t11 t27.t2.t12))
% 0.20/0.59 (step t27.t2.t14 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) false)) :rule resolution :premises (t27.t2.t13 t27.t2.a0))
% 0.20/0.59 (step t27.t2.t15 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false)) :rule trans :premises (t27.t2.t7 t27.t2.t9 t27.t2.t14))
% 0.20/0.59 (step t27.t2.t16 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t27.t2.t2 t27.t2.t15))
% 0.20/0.59 (step t27.t2 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t27.t2.a0 t27.t2.a1 t27.t2.a2))
% 0.20/0.59 (step t27.t3 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.20/0.59 (step t27.t4 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule and_pos)
% 0.20/0.60 (step t27.t5 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule and_pos)
% 0.20/0.60 (step t27.t6 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t27.t2 t27.t3 t27.t4 t27.t5))
% 0.20/0.60 (step t27.t7 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule reordering :premises (t27.t6))
% 0.20/0.60 (step t27.t8 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule contraction :premises (t27.t7))
% 0.20/0.60 (step t27.t9 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t27.t1 t27.t8))
% 0.20/0.60 (step t27.t10 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.60 (step t27.t11 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t27.t9 t27.t10))
% 0.20/0.60 (step t27.t12 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t27.t11))
% 0.20/0.60 (step t27.t13 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule implies :premises (t27.t12))
% 0.20/0.60 (step t27.t14 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) :rule and_neg)
% 0.20/0.60 (step t27.t15 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) :rule resolution :premises (t27.t14 t27.a0 t27.a2 t27.a1))
% 0.20/0.60 (step t27.t16 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t27.t13 t27.t15))
% 0.20/0.60 (step t27 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t27.a0 t27.a1 t27.a2))
% 0.20/0.60 (step t28 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.20/0.60 (step t29 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule and_pos)
% 0.20/0.60 (step t30 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule and_pos)
% 0.20/0.60 (step t31 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))))) :rule resolution :premises (t27 t28 t29 t30))
% 0.20/0.60 (step t32 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule reordering :premises (t31))
% 0.20/0.60 (step t33 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule contraction :premises (t32))
% 0.20/0.60 (step t34 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t26 t33))
% 0.20/0.60 (step t35 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.60 (step t36 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t34 t35))
% 0.20/0.60 (step t37 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t36))
% 0.20/0.60 (step t38 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule implies :premises (t37))
% 0.20/0.60 (step t39 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t25 t38))
% 0.20/0.60 (step t40 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))))) :rule or_neg)
% 0.20/0.60 (step t41 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))))) :rule or_neg)
% 0.20/0.60 (step t42 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))))) :rule or_neg)
% 0.20/0.60 (step t43 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule or_neg)
% 0.20/0.60 (step t44 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t39 t40 t41 t42 t43))
% 0.20/0.60 (step t45 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t44))
% 0.20/0.60 (step t46 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t10 t24 t45))
% 0.20/0.60 (step t47 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule or :premises (t46))
% 0.20/0.60 (step t48 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule reordering :premises (t47))
% 0.20/0.60 (step t49 (cl (not (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule or_pos)
% 0.20/0.60 (step t50 (cl (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))))) :rule reordering :premises (t49))
% 0.20/0.60 (step t51 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.60 (step t52 (cl (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t51))
% 0.20/0.60 (step t53 (cl (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule and_neg)
% 0.20/0.60 (step t54 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t55)
% 0.20/0.60 (assume t55.a0 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.20/0.60 (assume t55.a1 (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))
% 0.20/0.60 (step t55.t1 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t55.t2)
% 0.20/0.60 (assume t55.t2.a0 (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))
% 0.20/0.60 (assume t55.t2.a1 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.20/0.60 (step t55.t2.t1 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) true) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule equiv_simplify)
% 0.20/0.60 (step t55.t2.t2 (cl (not (= (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) true)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule equiv1 :premises (t55.t2.t1))
% 0.20/0.60 (step t55.t2.t3 (cl (= (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) :rule refl)
% 0.20/0.60 (step t55.t2.t4 (cl (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) :rule symm :premises (t55.t2.a1))
% 0.20/0.60 (step t55.t2.t5 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule symm :premises (t55.t2.t4))
% 0.20/0.60 (step t55.t2.t6 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 0.20/0.60 (step t55.t2.t7 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule cong :premises (t55.t2.t3 t55.t2.t5 t55.t2.t6))
% 0.20/0.60 (step t55.t2.t8 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) true) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule equiv_simplify)
% 0.20/0.60 (step t55.t2.t9 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) true) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule equiv2 :premises (t55.t2.t8))
% 0.20/0.60 (step t55.t2.t10 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) true)) :rule resolution :premises (t55.t2.t9 t55.t2.a0))
% 0.20/0.60 (step t55.t2.t11 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) true)) :rule trans :premises (t55.t2.t7 t55.t2.t10))
% 0.20/0.60 (step t55.t2.t12 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t55.t2.t2 t55.t2.t11))
% 0.20/0.60 (step t55.t2 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule subproof :discharge (t55.t2.a0 t55.t2.a1))
% 0.20/0.60 (step t55.t3 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.20/0.60 (step t55.t4 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule and_pos)
% 0.20/0.60 (step t55.t5 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))))) :rule resolution :premises (t55.t2 t55.t3 t55.t4))
% 0.20/0.60 (step t55.t6 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule reordering :premises (t55.t5))
% 0.20/0.60 (step t55.t7 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule contraction :premises (t55.t6))
% 0.20/0.60 (step t55.t8 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t55.t1 t55.t7))
% 0.20/0.60 (step t55.t9 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.20/0.60 (step t55.t10 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t55.t8 t55.t9))
% 0.20/0.60 (step t55.t11 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule contraction :premises (t55.t10))
% 0.20/0.60 (step t55.t12 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule implies :premises (t55.t11))
% 0.20/0.60 (step t55.t13 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule and_neg)
% 0.20/0.60 (step t55.t14 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule resolution :premises (t55.t13 t55.a1 t55.a0))
% 0.20/0.60 (step t55.t15 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t55.t12 t55.t14))
% 0.20/0.60 (step t55 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule subproof :discharge (t55.a0 t55.a1))
% 0.20/0.60 (step t56 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule and_pos)
% 0.20/0.60 (step t57 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.20/0.60 (step t58 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t55 t56 t57))
% 0.20/0.60 (step t59 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule reordering :premises (t58))
% 0.20/0.60 (step t60 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule contraction :premises (t59))
% 0.20/0.60 (step t61 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t54 t60))
% 0.20/0.60 (step t62 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.20/0.60 (step t63 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t61 t62))
% 0.20/0.60 (step t64 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule contraction :premises (t63))
% 0.20/0.60 (step t65 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule implies :premises (t64))
% 0.20/0.60 (step t66 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t53 t65))
% 0.20/0.60 (step t67 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule reordering :premises (t66))
% 0.20/0.60 (step t68 (cl (not (= (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))))) (not (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule equiv_pos2)
% 0.20/0.60 (step t69 (cl (= (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))) :rule refl)
% 0.20/0.60 (step t70 (cl (= (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule all_simplify)
% 0.20/0.60 (step t71 (cl (= (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))))) :rule cong :premises (t69 t70))
% 0.20/0.60 (step t72 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t73)
% 0.20/0.60 (assume t73.a0 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))
% 0.20/0.60 (step t73.t1 (cl (or (not (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule forall_inst :args ((:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))
% 0.20/0.60 (step t73.t2 (cl (not (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) :rule or :premises (t73.t1))
% 0.20/0.60 (step t73.t3 (cl (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) :rule resolution :premises (t73.t2 t73.a0))
% 0.20/0.60 (step t73 (cl (not (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) :rule subproof :discharge (t73.a0))
% 0.20/0.60 (step t74 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) :rule resolution :premises (t72 t73))
% 0.20/0.60 (step t75 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule implies_neg2)
% 0.20/0.60 (step t76 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule resolution :premises (t74 t75))
% 0.20/0.60 (step t77 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule contraction :premises (t76))
% 0.20/0.60 (step t78 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule resolution :premises (t68 t71 t77))
% 0.20/0.60 (step t79 (cl (not (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule implies :premises (t78))
% 0.20/0.60 (step t80 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule resolution :premises (t79 a4))
% 0.20/0.60 (step t81 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.60 (step t82 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule reordering :premises (t81))
% 0.20/0.60 (step t83 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.60 (step t84 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule reordering :premises (t83))
% 0.20/0.60 (step t85 (cl (not (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.60 (step t86 (cl (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t85))
% 0.20/0.60 (step t87 (cl (not (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) :rule or_pos)
% 0.20/0.60 (step t88 (cl (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule reordering :premises (t87))
% 0.20/0.60 (step t89 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$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_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t90)
% 0.20/0.60 (assume t90.a0 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$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_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 0.20/0.60 (step t90.t1 (cl (or (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule forall_inst :args ((:= V_evs tptp.v_evs4) (:= V_B tptp.v_B) (:= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))))))
% 0.20/0.60 (step t90.t2 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$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_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule or :premises (t90.t1))
% 0.20/0.60 (step t90.t3 (cl (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t90.t2 t90.a0))
% 0.20/0.60 (step t90 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule subproof :discharge (t90.a0))
% 0.20/0.60 (step t91 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$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_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t89 t90))
% 0.20/0.60 (step t92 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$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_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies_neg2)
% 0.20/0.60 (step t93 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$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_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t91 t92))
% 0.20/0.60 (step t94 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$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_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule contraction :premises (t93))
% 0.20/0.60 (step t95 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$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_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule implies :premises (t94))
% 0.20/0.60 (step t96 (cl (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t95 a6))
% 0.20/0.60 (step t97 (cl (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) :rule resolution :premises (t88 a9 a10 t96))
% 0.20/0.60 (step t98 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t99)
% 0.20/0.60 (assume t99.a0 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 0.20/0.60 (step t99.t1 (cl (or (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_A (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4)) (:= V_B tptp.v_B) (:= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (:= V_evs tptp.v_evs4)))
% 0.20/0.60 (step t99.t2 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (t99.t1))
% 0.20/0.60 (step t99.t3 (cl (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t99.t2 t99.a0))
% 0.20/0.60 (step t99 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t99.a0))
% 0.20/0.60 (step t100 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t98 t99))
% 0.20/0.60 (step t101 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.60 (step t102 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t100 t101))
% 0.20/0.60 (step t103 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t102))
% 0.20/0.60 (step t104 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t103))
% 0.20/0.60 (step t105 (cl (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_B (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t104 a0))
% 0.20/0.60 (step t106 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t86 t97 t105))
% 0.20/0.60 (step t107 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t108)
% 0.20/0.60 (assume t108.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.20/0.60 (step t108.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (:= V_H (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.20/0.60 (step t108.t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule or :premises (t108.t1))
% 0.20/0.60 (step t108.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t108.t2 t108.a0))
% 0.20/0.60 (step t108 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule subproof :discharge (t108.a0))
% 0.20/0.60 (step t109 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t107 t108))
% 0.20/0.60 (step t110 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.60 (step t111 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t109 t110))
% 0.20/0.60 (step t112 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule contraction :premises (t111))
% 0.20/0.60 (step t113 (cl (not (forall ((V_X $$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_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule implies :premises (t112))
% 0.20/0.60 (step t114 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t113 a3))
% 0.20/0.60 (step t115 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule resolution :premises (t84 t106 t114))
% 0.20/0.60 (step t116 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t117)
% 0.20/0.60 (assume t117.a0 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.20/0.60 (step t117.t1 (cl (or (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_ONonce tptp.v_NA)) (:= V_Y (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (:= V_H (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.20/0.60 (step t117.t2 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule or :premises (t117.t1))
% 0.20/0.60 (step t117.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t117.t2 t117.a0))
% 0.20/0.60 (step t117 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule subproof :discharge (t117.a0))
% 0.20/0.60 (step t118 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t116 t117))
% 0.20/0.60 (step t119 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.60 (step t120 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t118 t119))
% 0.20/0.60 (step t121 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule contraction :premises (t120))
% 0.20/0.60 (step t122 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule implies :premises (t121))
% 0.20/0.60 (step t123 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t122 a1))
% 0.20/0.60 (step t124 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule resolution :premises (t82 t115 t123))
% 0.20/0.60 (step t125 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t67 t80 t124))
% 0.20/0.60 (step t126 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t127)
% 0.20/0.60 (assume t127.a0 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.20/0.60 (step t127.t1 (cl (or (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X tptp.v_X) (:= V_Y (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))
% 0.20/0.60 (step t127.t2 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (t127.t1))
% 0.20/0.60 (step t127.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t127.t2 t127.a0))
% 0.20/0.60 (step t127 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t127.a0))
% 0.20/0.60 (step t128 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t126 t127))
% 0.20/0.60 (step t129 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.60 (step t130 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t128 t129))
% 0.20/0.60 (step t131 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t130))
% 0.20/0.60 (step t132 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t131))
% 0.20/0.60 (step t133 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t132 a2))
% 0.20/0.60 (step t134 (cl (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t52 t125 t133))
% 0.20/0.60 (step t135 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t136)
% 0.20/0.60 (assume t136.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))))
% 0.20/0.60 (step t136.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))))) :rule forall_inst :args ((:= V_X tptp.v_X) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))
% 0.20/0.60 (step t136.t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) :rule or :premises (t136.t1))
% 0.20/0.60 (step t136.t3 (cl (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) :rule resolution :premises (t136.t2 t136.a0))
% 0.20/0.60 (step t136 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) :rule subproof :discharge (t136.a0))
% 0.20/0.60 (step t137 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) :rule resolution :premises (t135 t136))
% 0.20/0.60 (step t138 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (not (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))))) :rule implies_neg2)
% 0.20/0.60 (step t139 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))))) :rule resolution :premises (t137 t138))
% 0.20/0.60 (step t140 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))))) :rule contraction :premises (t139))
% 0.20/0.60 (step t141 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))))) (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) :rule implies :premises (t140))
% 0.20/0.60 (step t142 (cl (not (= (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H)))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))))) (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H))))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))))) :rule equiv_pos2)
% 0.20/0.60 (anchor :step t143 :args ((V_X $$unsorted) (:= V_X V_X) (V_H $$unsorted) (:= V_H V_H)))
% 0.20/0.60 (step t143.t1 (cl (= V_X V_X)) :rule refl)
% 0.20/0.60 (step t143.t2 (cl (= V_H V_H)) :rule refl)
% 0.20/0.60 (step t143.t3 (cl (= (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule refl)
% 0.20/0.60 (step t143.t4 (cl (= (= (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))) :rule all_simplify)
% 0.20/0.60 (step t143.t5 (cl (= (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H))) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))))) :rule cong :premises (t143.t3 t143.t4))
% 0.20/0.60 (step t143 (cl (= (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H)))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))))))) :rule bind)
% 0.20/0.60 (step t144 (cl (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts V_H) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))))) :rule resolution :premises (t142 t143 a5))
% 0.20/0.60 (step t145 (cl (or (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))) :rule resolution :premises (t141 t144))
% 0.20/0.60 (step t146 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule resolution :premises (t50 t134 t145))
% 0.20/0.60 (step t147 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) :rule or :premises (a13))
% 0.20/0.60 (step t148 (cl (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) :rule reordering :premises (t147))
% 0.20/0.60 (step t149 (cl (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (a11))
% 0.20/0.60 (step t150 (cl (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) :rule resolution :premises (t48 t146 t80 t148 t149))
% 0.20/0.60 (step t151 (cl (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) :rule contraction :premises (t150))
% 0.20/0.60 (step t152 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.60 (step t153 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t152))
% 0.20/0.60 (step t154 (cl (not (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))))) (not (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule equiv_pos2)
% 0.20/0.60 (step t155 (cl (= (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) true) (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.20/0.60 (step t156 (cl (not (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) true)) (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule equiv1 :premises (t155))
% 0.20/0.60 (step t157 (cl (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))) :rule all_simplify)
% 0.20/0.60 (step t158 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule refl)
% 0.20/0.60 (step t159 (cl (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule all_simplify)
% 0.20/0.60 (step t160 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule cong :premises (t158 t159))
% 0.20/0.60 (step t161 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) true)) :rule all_simplify)
% 0.20/0.60 (step t162 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) true)) :rule trans :premises (t160 t161))
% 0.20/0.60 (step t163 (cl (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) true)) :rule trans :premises (t157 t162))
% 0.20/0.60 (step t164 (cl (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t156 t163))
% 0.20/0.60 (step t165 (cl (= (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule refl)
% 0.20/0.60 (step t166 (cl (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))))) :rule cong :premises (t164 t21 t22 t165))
% 0.20/0.60 (step t167 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule and_neg)
% 0.20/0.60 (step t168 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t169)
% 0.20/0.60 (assume t169.a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))
% 0.20/0.60 (assume t169.a1 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))
% 0.20/0.60 (assume t169.a2 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.20/0.60 (step t169.t1 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule implies_neg1)
% 0.20/0.60 (anchor :step t169.t2)
% 0.20/0.60 (assume t169.t2.a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))
% 0.20/0.60 (assume t169.t2.a1 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))))
% 0.20/0.60 (assume t169.t2.a2 (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.20/0.60 (step t169.t2.t1 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) false) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.20/0.60 (step t169.t2.t2 (cl (not (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) false)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule equiv1 :premises (t169.t2.t1))
% 0.20/0.60 (step t169.t2.t3 (cl (= (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)))) :rule refl)
% 0.20/0.60 (step t169.t2.t4 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 0.20/0.60 (step t169.t2.t5 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule cong :premises (t169.t2.t3 t169.t2.a2 t169.t2.t4))
% 0.20/0.60 (step t169.t2.t6 (cl (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) :rule symm :premises (t169.t2.a2))
% 0.20/0.60 (step t169.t2.t7 (cl (= (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) :rule symm :premises (t169.t2.a1))
% 0.20/0.60 (step t169.t2.t8 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule symm :premises (t169.t2.t7))
% 0.43/0.60 (step t169.t2.t9 (cl (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule trans :premises (t169.t2.t6 t169.t2.t8))
% 0.43/0.60 (step t169.t2.t10 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule cong :premises (t169.t2.t3 t169.t2.t9 t169.t2.t4))
% 0.43/0.60 (step t169.t2.t11 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.43/0.60 (step t169.t2.t12 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) :rule equiv2 :premises (t169.t2.t11))
% 0.43/0.60 (step t169.t2.t13 (cl (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) :rule not_not)
% 0.43/0.60 (step t169.t2.t14 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) :rule resolution :premises (t169.t2.t12 t169.t2.t13))
% 0.43/0.60 (step t169.t2.t15 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false)) :rule resolution :premises (t169.t2.t14 t169.t2.a0))
% 0.43/0.60 (step t169.t2.t16 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) false)) :rule trans :premises (t169.t2.t5 t169.t2.t10 t169.t2.t15))
% 0.43/0.60 (step t169.t2.t17 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t169.t2.t2 t169.t2.t16))
% 0.43/0.60 (step t169.t2 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t169.t2.a0 t169.t2.a1 t169.t2.a2))
% 0.43/0.60 (step t169.t3 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.43/0.60 (step t169.t4 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule and_pos)
% 0.43/0.60 (step t169.t5 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule and_pos)
% 0.43/0.60 (step t169.t6 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))))) :rule resolution :premises (t169.t2 t169.t3 t169.t4 t169.t5))
% 0.43/0.60 (step t169.t7 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule reordering :premises (t169.t6))
% 0.43/0.60 (step t169.t8 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule contraction :premises (t169.t7))
% 0.43/0.60 (step t169.t9 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t169.t1 t169.t8))
% 0.43/0.60 (step t169.t10 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.43/0.60 (step t169.t11 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t169.t9 t169.t10))
% 0.43/0.60 (step t169.t12 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t169.t11))
% 0.43/0.60 (step t169.t13 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t169.t12))
% 0.43/0.60 (step t169.t14 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule and_neg)
% 0.43/0.60 (step t169.t15 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule resolution :premises (t169.t14 t169.a0 t169.a1 t169.a2))
% 0.43/0.60 (step t169.t16 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t169.t13 t169.t15))
% 0.43/0.60 (step t169 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t169.a0 t169.a1 t169.a2))
% 0.43/0.60 (step t170 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.43/0.60 (step t171 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule and_pos)
% 0.43/0.60 (step t172 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) :rule and_pos)
% 0.43/0.60 (step t173 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))))) :rule resolution :premises (t169 t170 t171 t172))
% 0.43/0.60 (step t174 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule reordering :premises (t173))
% 0.43/0.60 (step t175 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule contraction :premises (t174))
% 0.43/0.60 (step t176 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t168 t175))
% 0.43/0.60 (step t177 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.43/0.60 (step t178 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t176 t177))
% 0.43/0.60 (step t179 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t178))
% 0.43/0.60 (step t180 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t179))
% 0.43/0.60 (step t181 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t167 t180))
% 0.43/0.60 (step t182 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))) :rule or_neg)
% 0.43/0.60 (step t183 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))))) :rule or_neg)
% 0.43/0.60 (step t184 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))))) :rule or_neg)
% 0.43/0.60 (step t185 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule or_neg)
% 0.43/0.60 (step t186 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t181 t182 t183 t184 t185))
% 0.43/0.60 (step t187 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t186))
% 0.43/0.60 (step t188 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t154 t166 t187))
% 0.43/0.60 (step t189 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (t188))
% 0.43/0.60 (step t190 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) (not (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))) :rule reordering :premises (t189))
% 0.43/0.60 (step t191 (cl (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule or :premises (a12))
% 0.43/0.60 (step t192 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) :rule resolution :premises (t191 t151))
% 0.43/0.60 (step t193 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t190 t192 t146 t80))
% 0.43/0.60 (step t194 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.43/0.60 (anchor :step t195)
% 0.43/0.60 (assume t195.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.43/0.60 (step t195.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))
% 0.43/0.60 (step t195.t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (t195.t1))
% 0.43/0.60 (step t195.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t195.t2 t195.a0))
% 0.43/0.60 (step t195 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t195.a0))
% 0.43/0.60 (step t196 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t194 t195))
% 0.43/0.60 (step t197 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.43/0.60 (step t198 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t196 t197))
% 0.43/0.60 (step t199 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t198))
% 0.43/0.60 (step t200 (cl (not (forall ((V_X $$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_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t199))
% 0.43/0.60 (step t201 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t200 a3))
% 0.43/0.60 (step t202 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg))) :rule resolution :premises (t153 t193 t201))
% 0.43/0.60 (step t203 (cl (not (or (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)))) :rule resolution :premises (t9 t151 t202))
% 0.43/0.60 (step t204 (cl) :rule resolution :premises (t7 t203 a7))
% 0.43/0.60
% 0.43/0.60 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.Ch1XRO2vZv/cvc5---1.0.5_5625.smt2
% 0.43/0.60 % cvc5---1.0.5 exiting
% 0.43/0.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------